James bought $175 in accessories for his video game console. He spent $15 on a new power cord and the rest of his money on 5 new video games. Each video game cost the same amount. Write two equations you could use to find the cost of each video game.

Answers

Answer 1

Hello!

I believe two equations you can make to represent the question are...

(175-15)/5
and
5x+15=175

The first equation, (175-15)/5, makes you subtract 15 from 175 to get 160. You'll then divide 160 by 5 to get 32.

The second equation, 5x+15=175, makes you subtract 15 from 15 and 175, so you'll equation will look like this...
5x=160
You'll then divide 5x and 160 by 5 to get x=32.

So for both equations, you'll get an answer of 32.

I hope this helps!

Answer 2

The solution is, two equations are: (175-15)/5 and, 5x+15=175

the cost of each video game is 32.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here, we have,

two equations we can make to represent the question are...

(175-15)/5

and

5x+15=175

The first equation, (175-15)/5, makes you subtract 15 from 175 to get 160. You'll then divide 160 by 5 to get 32.

The second equation, 5x+15=175, makes you subtract 15 from 15 and 175, so you'll equation will look like this...

5x=160

You'll then divide 5x and 160 by 5 to get x=32.

So for both equations, we'll get an answer of 32.

To learn more on equation click:

brainly.com/question/24169758

#SPJ2

Related Questions

N a test population of 1000 people, 210 display hemophilia. you hypothesize that this trait follows mendelian genetics with a 3:1 ratio of non- hemophilia to hemophilia. use the χ2 test to determine whether the data support the hypothesis or not. show your steps and explain your reasoning.

Answers

According to the 3:1 ratio, you expect, out of a population of 1000 people, 750 non-hemophilia and 250 hemophilia.

The chi-square value can be calculated by the formula:
[tex] \chi^{2} = \frac{(O - E)^{2}}{E}[/tex]

where:
O = observed value = 210
E = expected value = 250

Therefore:
χ² = (210 - 250)² / 250
= 6.4

Now, look at a χ² distribution table, in order to find the p-value. In this case, you have only 1 degree of freedom and the closest χ² is 6.6 which corresponds to a p-value of 0.01.

Since p < 0.05, which is the minimum value generally accepted, we can say that the data do not support the hypothesis.

Hey can you please help me posted picture of question

Answers

true true true true true

The answer is True.

A compound event is one in which there is more than one possible outcome. It is also defined as a probabilistic event with two or more favorable outcomes. For example, when you throw a die (singular for dice), it is called a simple event. On the other hand, when you throw a dice, it is known as a compound event.

Can adjacent angles be supplementary complementary or neither

Answers

They can be and supplementary and complementary but they do not have to be. Did I Help?

Answer:

Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees. Supplementary and complementary angles do not have to be adjacent

Step-by-step explanation:

QF Q6.) Find the following function for b.

Answers

For (g o f)(x), you plug in the equation of f(x) where the x-variable is in g(x).

5(2x - 2)² - 3

First, you do FOIL method of the binomial:

5(4x² - 8x + 4) - 3

Now distribute the 5:

20x² - 40x + 20 - 3

And combine like terms:

20x² - 40x + 17

(g₀f)(x)=g(f(x))
=g(2x-2)
=5(2x-2)^2-3
=5(4x^2-8x+4)-3
=20x^2-40x+17

HELP PLEASE
Determine the missing statements and reasons for the following proof.

Answers

Reasons:
Reason 3: Congruent supplements theorem

Statements:
Statement 4: Angle 1 is congruent with angle 2

Answer: Option D:
Reason 3: Congruent supplements theorem.
Statement 4: Angle 1 is congruent with angle 2

Final answer:

In a mathematical proof, missing statements and reasons are usually concluded from the given statements and the relevant geometric postulates or theorems. They could include establishing the congruency of angles or declaring the parallelism of lines.

Explanation:

Without the concrete steps of the proof or the reasoning proposed, it is difficult to provide the exact missing statements and reasons. However, in a general mathematical proof, common reasons used include 'definition of congruent angles', 'definition of parallel lines', 'alternate interior angles theorem', etc.

For instance, if we have a proof that involves stating two angles are congruent, the missing statement might be 'Angle A is congruent to Angle B', and the missing reason could be 'Definition of Congruent Angles' or 'Angle Bisector Theorem', if an angle bisector comes into the picture.

Another missing statement might be 'Segment AB is parallel to Segment CD', with the reason being 'Corresponding Angles Postulate', or 'Alternate Interior Angles Theorem', if the proof involves parallel lines.

Learn more about Mathematical Proofs here:

https://brainly.com/question/26697247

#SPJ6

PLZ HELP ASAP WRITE STANDERED EQAUTION OF A CIRCLE

Answers

The generic equation of the circle is:
(x-xo) ^ 2 + (y-yo) ^ 2 = r ^ 2
Where,
(xo, yo): coordinate of the center of the circle
r: radius of the circle.
Substituting values we have:
(x-9.2) ^ 2 + (y + 7.4) ^ 2 = (5/3) ^ 2
Rewriting:
(x-9.2) ^ 2 + (y + 7.4) ^ 2 = 25/9
Answer:
The equation of the circle is:
(x-9.2) ^ 2 + (y + 7.4) ^ 2 = 25/9

r = 5/3
C(9.2, -7.4)

r^2 = (x-h)^2 + (y-k)^2
(5/3)^2 = (x - 9.2)^2 + (y + 7.4)^2

k+1=3k-1 please show me the correct steps to solve this problem

Answers

k + 1 = 3k - 1     |-3k
-2k + 1 = -1    |-1
-2k = -2    |:(-2)

k = 1

What is the domain of the function g(x) = 52x? x > 0 x < 0 all real numbers all positive real numbers

Answers

g(x) = 52x

The domain: all real numbers.

Answer: all real numbers

Step-by-step explanation:

The given function is : [tex]g(x) = 52x[/tex], which is polynomial function with degree one.

The domain of a function is the set of all values for x for which the function must be defined.

We know that the domain of a polynomial is the entire set of real numbers because for any real number r the polynomial function exists.

Therefore, the domain of the given function [tex]g(x) = 52x[/tex] is the set of real numbers.

Engineers are analyzing the performance of windshield wiper blades. At the end of one swipe, the tip of a blade is at (−5, 7) when represented graphically. What is the sine value of this function? (2 points) negative 7 square root 74 divided by 74 negative 5 times square root of 74 over 74 7 times square root of 74 over 74 square root 74

Answers

The correct answer to this question is "7 times square root of 74 over 74."

First, we need to get for the "r."r^2 = (−5)^2 + 7^2r^2 = 25 + 49r^2 = 74r = square root of 74

Then, after that, we need to formulate the equation of a sin:sin x = 7 / rsin x = 7 / sqrt(74)sin x = 7 * sqrt (74) / 74

hope this helpsss

Answer:

Option C. [tex]7.\frac{\sqrt{74}}{74}[/tex]

Step-by-step explanation:

At the end of one swipe the tip of one blade is at (-5, 7). We have to find sine value of this function.

As shown in the figure coordinates of the tip of the wiper blade are (-5, 7)

So [tex]sin a = \frac{Height}{Hypotenuse}[/tex]

Here Height of the triangle = 7

and Hypotenuse = x = [tex]\sqrt{(-5)^{2}+7^{2}}=\sqrt{25+49}=\sqrt{74}[/tex]

By putting these values in the expression

[tex]sina=\frac{7}{x}=\frac{7}{\sqrt{74}}=7.\frac{\sqrt{74}}{74}[/tex]

Answer is option C.[tex]7.\frac{\sqrt{74}}{74}[/tex]

To which sets of numbers does 0.0202002000200002 . . . belong? A. Irrational B.Rational only C.Rational and natural D.Rational and integer

Answers

It does not repeat and it does not terminate, so that would make it irrational.

find the pair of similar triangles shown . find the length of side h .

Answers

[tex] \frac{21}{h} = \frac{6}{7} [/tex]

6*h = 21*7
6h = 147
h = 24,5

At the candy store, a chocolate bar costs c dollars and a vanilla bar costs 2 dollars more than a chocolate bar. Jamie buys a chocolate bar and three vanilla bars, and Kevin buys five chocolate bars. How much money, in total, do Jamie and Kevin spend at the candy store in terms of c?

Answers

To represent the amount of money Kevin and Jamie are spending in terms of c, you will write an expression for each person and then add those expressions together.

Jamie: c + 3(c + 2)
Kevin: 5c

c + 3(c + 2) + 5c; Simplify
c + 3c + 6 + 5c; combine like terms

9c + 6 represents the amount they would spend.

Calculator Problem You downloaded a video game to your computer. You have a 60 -minute free trial of the game. It take 5 minutes to set up the game and 7minutes to play each level. You want to find out how many levels you can play for free. Let ll l l represent the number of levels played. Write an inequality to determine the number of levels you can play in 60 minutes.

Answers

Comment write your givens.
S = setup = 5 minutes.
L = Levels = x
T = Time / L = 7 minutes / Level.

Formula
S + x * T ≤ 60 minutes

Substitute and solve.
5 + 7*x ≤ 60 Subtract 5 from both sides.
7x ≤ 60 - 5
7x ≤ 55 minutes Estimated, the answer is almost x = 8 but not quite. Divide by 7
x ≤ 55/7
x ≤ 7 . He almost makes it through the 8th game but not quite

x ≤ 7 Answer.

Final answer:

The inequality 5 + 7l ≤ 60 represents the scenario where a student has a 60-minute free trial of a game that requires 5 minutes to set up and 7 minutes to play each level, where 'l' denotes the number of levels the student can play.

Explanation:

The subject of this question is about setting up an inequality to represent a scenario. The student has a 60-minute free trial of a game and it takes 5 minutes to set up the game and another 7 minutes to play each level. Let's denote 'l' as the number of levels the student can play. The total time spent both setting and playing the game cannot exceed 60 minutes. Therefore, the inequality to determine the maximum number of levels the student can play would be: 5 + 7l ≤ 60.

To explain this further, the '5' is the time spent setting up the game and '7l' is the total time spent playing the levels. As we want to find out the maximum number of levels that can be played within a constraint of 60 minutes, thus we use the less than or equal to symbol ('≤').

Learn more about Inequalities here:

https://brainly.com/question/30231017

#SPJ3

If ∆XYZ = ∆KLM, then < Y = Please help due today

Answers

ΔXYZ must correspond to ΔKLM, so the angles must as well

∠X = ∠K
∠Y = ∠L
∠Z = ∠M

So ∠Y = ∠L

I hope this helps!

hat is the sum of the geometric series in which a1 = 3, r = 4, and an = 49,152?
Hint: an = a1(r)n − 1, where a1 is the first term and r is the common ratio.

Sn = −65,535
Sn = 16,383
Sn = 13,120
Sn = 65,535

Answers

Final answer:

To find the sum of the geometric series, we use the formula: Sn = a1 * (r^n - 1) / (r - 1). Substituting the given values and solving, we find that the sum is 16,383.

Explanation:

To find the sum of a geometric series, we can use the formula Sn = a1 * (r^n - 1) / (r - 1), where Sn is the sum of the series, a1 is the first term, r is the common ratio, and n is the number of terms.

In this case, a1 = 3, r = 4, and an = 49,152. We can use the formula to find n, which is the exponent.

49,152 = 3 * (4^n - 1) / (4 - 1)

49,152 = 3 * (4^n - 1) / 3

16,384 = 4^n - 1

4^n = 16,385

n = log4(16,385)

n ≈ 7

Now, we can substitute the values into the formula for Sn.

Sn = 3 * (4^7 - 1) / (4 - 1)

Sn = 3 * (16,384 - 1) / 3

Sn = 3 * 16,383 / 3

Sn = 16,383

Therefore, the sum of the geometric series is 16,383. So the correct answer is Sn = 16,383.

The correct answer is [tex]$ S_n = 65,535 $[/tex].

To find the sum of a geometric series, you can use the formula:

[tex]\[ S_n = a_1 \frac{(r^n - 1)}{r - 1} \][/tex]

Where:

- [tex]$ S_n $[/tex] is the sum of the series,

- [tex]$ a_1 $[/tex] is the first term,

- [tex]$ r $[/tex] is the common ratio,

- [tex]$ n $[/tex] is the number of terms.

Given [tex]$ a_1 = 3 $, $ r = 4 $, and $ a_n = 49,152 $[/tex], we need to find [tex]$ n $[/tex]. The formula for the [tex]$ n^{th} $[/tex] term in a geometric series is [tex]$ a_n = a_1 \times r^{(n-1)} $[/tex]. In this case, [tex]$ 49,152 = 3 \times 4^{(n-1)} $[/tex]

Let's solve for n:

[tex]\[ 4^{(n-1)} = \frac{49,152}{3} \][/tex]

[tex]\[ 4^{(n-1)} = 16,384 \][/tex]

[tex]\[ n-1 = \log_4(16,384) \][/tex]

[tex]\[ n-1 = 7 \][/tex]

[tex]\[ n = 8 \][/tex]

Now that we have [tex]$ n = 8 $[/tex], we can use it in the sum formula:

[tex]\[ S_n = 3 \frac{(4^8 - 1)}{4 - 1} \][/tex]

[tex]\[ S_n = 3 \frac{(65,536 - 1)}{3} \][/tex]

[tex]\[ S_n = 3 \frac{65,535}{3} \][/tex]

[tex]\[ S_n = 65,535 \][/tex]

Therefore, the correct answer is [tex]$ S_n = 65,535 $[/tex].

Julie studied for 3 1 3 hours during the 4 days before her last math test. If she studied for the same amount of time each day, how much time did she spend studying each day?

Answers

Julie studied 78.25 minutes per day

Julie studied for 3 1 3 hours during the 4 days before her last math test. If she studied for the same amount of time each day, how much time did she spend studying each day?

Solution:

Julie studied for 3 [tex]\frac{1}{3}[/tex] hrs in 4 days

Let us first find how many minutes Julie studied in 4 days

In 1 hour, there are 60 minutes

Julie studied for 3 complete hours and one-third of the hour.

So, Number of minutes in 3 hours is 3*60=180hrs

and, Number of minutes in one-third of an hour=[tex]\frac{1}{3} *60[/tex]

=[tex]\frac{60}{3}[/tex]=20minutes

So, time spent by Julie in studying in 4 days is 3[tex]\frac{1}{3}[/tex] hours

or, Julie studied for 180+20 minutes in 4 days

Adding 180 and 20

Julie studied for 200 minutes during the 4 days

To find time she spend studying each day, we must divide total time spent in studies by number of days

Time she spend studying each day= [tex]\frac{200}{4}[/tex] minutes

Dividing 200 by 4, we get

Time she spend studying each day=50 minutes

Answer:

time she spend studying each day=50 minutes

what are some types of quadrilaterals

Answers

Quadrilaterals include all regular 4 sides shapes.
Such as, square, rectangle, trapezoid, and parallelogram

I hope this helped!

Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below. What is the first error she made in computing the variance? Emi failed to find the difference of 89 - 78 correctly. Emi divided by N - 1 instead of N. Emi evaluated (46 - 78)2 as -(32)2. Emi forgot to take the square root of -135.6.

Answers

The first error Emi made was dividing by N - 1 instead of N when computing the population variance.

The first error in computing the variance is Emi divided by N - 1 instead of N. In Emi's calculations for the data set, which includes the numbers 87, 46, 90, 78, and 89, the correct method should be to divide by N, because she is dealing with a population data set, not a sample.

For the population variance, we divide the sum of squared differences from the mean by the total number of data points in the population, which is N. However, Emi incorrectly divided by N - 1, which would only be correct if she were calculating the sample variance to estimate the population variance based on a subset of the population data.

The formula to convert Fahrenheit to Celsius is C=5/9(F-32). Convert 18 degrees C to Fahrenheit. Round to the nearest degree.

Answers

That would be roughly 64 degrees Fahrenheit.

Answer:

Temperature in celcius scale to the nearest degree = 64

Step-by-step explanation:

Temperature in celcius scale = 18° C

We have the formula

[tex]C=\frac{5}{9}(F-32)[/tex]

Substituting value in celcius scale.

[tex]18=\frac{5}{9}(F-32)\\\\F=64.4^OC[/tex]

Temperature in celcius scale to the nearest degree = 64

Julia has 3 hand bags in her closet in how many ways can the bags be arranged

Answers

Final answer:

There are 6 ways the bags can be arranged.

Explanation:

The number of ways the bags can be arranged is equal to the number of permutations of the bags. In this case, Julia has 3 handbags in her closet, so we need to find the number of permutations of 3 objects taken from a set of 3. The formula for permutations is nPr = n! / (n-r)!, where n is the total number of objects and r is the number of objects being selected.

Plugging in the values, we get 3P3 = 3! / (3-3)! = 3! / 0! = 3 x 2 x 1 / 1 = 6.

Therefore, there are 6 ways the bags can be arranged.

The number of ways to arrange 3 handbags is 6.

The arrangement of objects where the order matters is a permutation problem. To find the number of permutations of n distinct objects, one uses the factorial of n, denoted as n!. The factorial of a non-negative integer n is the product of all positive integers less than or equal to n.

In this case, Julia has 3 handbags, so n = 3. We want to find the number of permutations of these 3 handbags, which is given by 3!.

Calculating 3!:

3! = 3 × 2 × 1 = 6

Therefore, there are 6 different ways to arrange the 3 handbags in Julia's closet.

A local am radio station broadcasts at a frequency of 764 khz. calculate the energy of the frequency at which it is broadcasting. energy = kj/photon

Answers

The frequency of the emitted radio waves is:
[tex]f=764 kHz = 7.64 \cdot 10^5 Hz[/tex]

The energy of a photon is given by:
[tex]E=hf[/tex]
where h is the Planck constant and f is the photon frequency. Using the frequency given by the problem, we can find the energy of each photon of this radiation:
[tex]E=hf=(6.6 \cdot 10^{-34} Js)(7.64 \cdot 10^5 Hz)=5.04 \cdot 10^{-28} J=5.04 \cdot 10^{-31} kJ[/tex]

A car rental costs $50 for the first day. Additional days cost $35 per day, unless the car is rented for 7 days or more, in which case there is a 10% discount on the daily rate. Identify the expression which represents the cost of renting a car if the car has been rented for more than a week.
A.) 45+35x
B.) 45+31.5x
C.) 50+35x
D.) 50+31.5x

Answers

the answer is D,I think it's help

Answer:

Option D [tex]\$50+\$31.5x[/tex]

Step-by-step explanation:

Let

x------> the number of days

y----> the cost of renting a car

we know that

For [tex]x<7\ days[/tex]

[tex]y=\$50+\$35x[/tex]

For [tex]x\geq 7\ days[/tex]

The rate is equal to

[tex]0.90*\$35=\$31.5[/tex]

[tex]y=\$50+\$31.5x[/tex]

In this problem. the car has been rented for more than a week

therefore

[tex]x> 7\ days[/tex]

The cost of renting a car is equal to

[tex]y=\$50+\$31.5x[/tex]

A jar of peanut butter and a jar of jam cost $10.20 in total. the jar of peanut butter costs $10.00 more than the jar of jam. how much does the jar of jam cost

Answers

Well this is pretty simple. So the first thought is that the peanut butter would be 10$ and the jam would be 0.20$, however, the peanut butter would not be 10$ more. Instead, subtract the 10$ from the total, which gives you 0.20$, and then divide that by two. Now you have 0.10$ for each, along with another 10$ for the peanut butter. The peanut butter would be $10.10, and the jam would be 0.10$ (that's pretty cheap!).

Ples help me find slant assemtotes
this one is different because it isn't a rational function

find the slant assemtotes of [tex](y+1)^2=4xy[/tex]
the equation can be rewritten using the quadratic formula as [tex]y=2x-1 \pm \sqrt{x^2-x}[/tex]

ples find slant assemtotes and show all work
thx

Answers

A polynomial asymptote is a function [tex]p(x)[/tex] such that

[tex]\displaystyle\lim_{x\to\pm\infty}(f(x)-p(x))=0[/tex]

[tex](y+1)^2=4xy\implies y(x)=2x-1\pm2\sqrt{x^2-x}[/tex]

Since this equation defines a hyperbola, we expect the asymptotes to be lines of the form [tex]p(x)=ax+b[/tex].

Ignore the negative root (we don't need it). If [tex]y=2x-1+2\sqrt{x^2-x}[/tex], then we want to find constants [tex]a,b[/tex] such that

[tex]\displaystyle\lim_{x\to\infty}(2x-1+2\sqrt{x^2-x}-ax-b)=0[/tex]

We have

[tex]\sqrt{x^2-x}=\sqrt{x^2}\sqrt{1-\dfrac1x}[/tex]
[tex]\sqrt{x^2-x}=|x|\sqrt{1-\dfrac1x}[/tex]
[tex]\sqrt{x^2-x}=x\sqrt{1-\dfrac1x}[/tex]

since [tex]x\to\infty[/tex] forces us to have [tex]x>0[/tex]. And as [tex]x\to\infty[/tex], the [tex]\dfrac1x[/tex] term is "negligible", so really [tex]\sqrt{x^2-x}\approx x[/tex]. We can then treat the limand like

[tex]2x-1+2x-ax-b=(4-a)x-(b+1)[/tex]

which tells us that we would choose [tex]a=4[/tex]. You might be tempted to think [tex]b=-1[/tex], but that won't be right, and that has to do with how we wrote off the "negligible" term. To find the actual value of [tex]b[/tex], we have to solve for it in the following limit.

[tex]\displaystyle\lim_{x\to\infty}(2x-1+2\sqrt{x^2-x}-4x-b)=0[/tex]

[tex]\displaystyle\lim_{x\to\infty}(\sqrt{x^2-x}-x)=\frac{b+1}2[/tex]

We write

[tex](\sqrt{x^2-x}-x)\cdot\dfrac{\sqrt{x^2-x}+x}{\sqrt{x^2-x}+x}=\dfrac{(x^2-x)-x^2}{\sqrt{x^2-x}+x}=-\dfrac x{x\sqrt{1-\frac1x}+x}=-\dfrac1{\sqrt{1-\frac1x}+1}[/tex]

Now as [tex]x\to\infty[/tex], we see this expression approaching [tex]-\dfrac12[/tex], so that

[tex]-\dfrac12=\dfrac{b+1}2\implies b=-2[/tex]

So one asymptote of the hyperbola is the line [tex]y=4x-2[/tex].

The other asymptote is obtained similarly by examining the limit as [tex]x\to-\infty[/tex].

[tex]\displaystyle\lim_{x\to-\infty}(2x-1+2\sqrt{x^2-x}-ax-b)=0[/tex]

[tex]\displaystyle\lim_{x\to-\infty}(2x-2x\sqrt{1-\frac1x}-ax-(b+1))=0[/tex]

Reduce the "negligible" term to get

[tex]\displaystyle\lim_{x\to-\infty}(-ax-(b+1))=0[/tex]

Now we take [tex]a=0[/tex], and again we're careful to not pick [tex]b=-1[/tex].

[tex]\displaystyle\lim_{x\to-\infty}(2x-1+2\sqrt{x^2-x}-b)=0[/tex]

[tex]\displaystyle\lim_{x\to-\infty}(x+\sqrt{x^2-x})=\frac{b+1}2[/tex]

[tex](x+\sqrt{x^2-x})\cdot\dfrac{x-\sqrt{x^2-x}}{x-\sqrt{x^2-x}}=\dfrac{x^2-(x^2-x)}{x-\sqrt{x^2-x}}=\dfrac x{x-(-x)\sqrt{1-\frac1x}}=\dfrac1{1+\sqrt{1-\frac1x}}[/tex]

This time the limit is [tex]\dfrac12[/tex], so

[tex]\dfrac12=\dfrac{b+1}2\implies b=0[/tex]

which means the other asymptote is the line [tex]y=0[/tex].

which means the other asymptote is the line .

Please please help i don’t understand this.

Answers

For a geometric sequence;
a(n) = a1*r^(n-1)

Where
a(n) = nth term
a1 = first term
r = common ratio
n = 0,1,2,3,4,5, ... n

To establish which graphs agree with this formula, each graph should be tested separately as follows:
Graph A:
a2 = 9
Then
9 = a1*(1/3)^(2-1) =1/3a1 => a1 = 3*9 = 27
Sequence:
a1 = 27
a2 = 9
a3 = 27*(1/3)^(3-1) = 3
a4 = 27*(1/3)^(4-1) = 1
These are the same values shown and thus this graph corresponds to geometric sequence.

Graph B:
a1 = 12
a2 = 12*(1/3)^(2-1) = 4
a3 = 12*(1/3)(3-1) = 4/3
a4 = 12*(1/3)^(4-1) = 4/9
These are the values shown by the graph and thus it corresponds with geometric sequence.

Graph C:
a1 = 3+3/2 = 9/2
a2 = (9/2)*(1/3)^1 = 3/2
a3 = (9/2)*(1/3)^2 = 1/2
a4 = (9/2)*(1/3)^3 = 1/6
a0 = (9/2)*(1/3)^-1 = 13.5 (this is not the case as the graph shows a0 = 12)

Therefore, this graph does not correspond to geometric sequence.

Graph D:
a1 = 4
a2 = 4*(1/3)^1 = 4/3
a3 = 4*(1/3)^2 = 4/9
a4 = 4*(1/3)^3 = 4/27
a0 = 12

This graph seems to agree with values of geometric sequence and thus corresponds to geometric sequence.

Therefore, graphs A, B, and D corresponds with geometric sequence.

how is this solved? graph and explanation would be helpful

Answers

As a rule, you plot the lines as though the equations had an equal sign. Because both are strict inequalities (no "or equal to"), the lines are dashed, indicating the (x, y) values on the line are NOT part of the solution.

The solution space will be above the first line (y > ...) and below the second line (y < ...). As a rule, you indicate the solution space by shading the portion of hte plane that satisfies the inequality.* The solution is the portion of the plane that is in both solution regions (that is, doubly-shaded).

_____
* Sometimes, it may actually work better to shade the portion of the plane that does NOT satisfy the inequality. That way, the remaining unshaded area is the solution space. If you do it that way, make sure the graph is clearly marked indicating that is the case. The usual expectation is that the shaded area is the solution, so you don't want to get your answer marked wrong or misinterpreted.

The probability that a student correctly answers on the first try (the event
a.is p(a) = 0.2. if the student answers incorrectly on the first try, the student is allowed a second try to correctly answer the question (the event b). the probability that the student answers correctly on the second try given that he answered incorrectly on the first try is 0.5. find the probability that the student answers the question on the first or second try.
a.0.90
b.0.40
c.0.10
d.0.70
e.0.60

Answers

Note that the two events are mutually exclusive. If the question is answered correctly on the first try, there's no need to give it another attempt. So [tex]\mathbb P(A\cap B)=0[/tex].

We're given that [tex]P(A)=0.2[/tex] and [tex]P(B\mid A^C)=0.5[/tex]. From the first probability, we know that [tex]P(A^C)=1-0.2=0.8[/tex]. By definition of conditional probability,

[tex]\mathbb P(B\mid A^C)=\dfrac{\mathbb P(B\cap A^C)}{\mathbb P(A^C)}[/tex]
[tex]\implies\mathbb P(B\cap A^C)=0.5\cdot0.8=0.4[/tex]

We're interested in the probability of either [tex]A[/tex] or [tex]B[/tex] occurring, i.e. [tex]\mathbb P(A\cup B)[/tex]. Apply the inclusion-exclusion principle, which says

[tex]\mathbb P(A\cup B)=\mathbb P(A)+\mathbb P(B)-\mathbb P(A\cap B)[/tex]

We know the probability of intersection is 0, and we know [tex]\mathbb P(A)[/tex]. Meanwhile, by the law of total probability, we have

[tex]\mathbb P(B)=\mathbb P(B\cap A)+\mathbb P(B\cap A^C)=\mathbb P(B\cap A^C)[/tex]

so we end up with

[tex]\mathbb P(A\cup B)=0.2+0.4=0.6[/tex]

The probability that the student answers the question on the first or second try is 0.60.

Given

P(A) = 0.2

[tex]\rm P(B|A^c)=0.5[/tex].

What is conditional probability?

The conditional probability of an event is when the probability of one event depends on the probability of occurrence of the other event.

When two events are mutually exclusive.

Then,

[tex]\rm P(A\cap B)=0[/tex]

The first probability is;

[tex]\rm P(A^C)=1-0.2=0.8[/tex]

Therefore,

The probability that the student answers the question on the first or second try is;

[tex]\rm P(A\cup B)= P(A) +P(B)-P(A \cap B)\\\\ P(A\cup B)= P(A) +P(B|A^C) \times P(A^C)-P(A \cap B)\\\\ P(A\cup B)= 0.2+0.5 \times 0.8 -0\\\\P(A\cup B)=0.2+0.40\\\\ P(A\cup B)=0.60[/tex]

Hence, the probability that the student answers the question on the first or second try is 0.60.

To know more about Conditional probability click the link given below.

https://brainly.com/question/10739947

Conduct a chi-squared test of independence on the data presented in data set
d. assume equal probabilities of fe for each cell and make sure to report all relevant statistics, including the value of χ2 obtained, the critical value and your decision as to whether to reject the null hypothesis .

Answers

What's a chi-squared?

while watching a football game, Lin Chow decided to list yardage agained as positive integers and yardage lost as negative integers. after this plays, Lin recorded 14, -7, and 9. what was the net gain or lost?

Answers

To find the net loss or gain add all three integers (14 + -7 + 9) to get 16. This is your net gain because it is positive.

Functions f(x) and g(x) are described as follows: f(x) = −5x2 + 9 x g(x) 0 0 1 4 2 8 3 4 4 0 Which statement best compares the maximum value of the two functions?

Answers

Let's look at the description for g(x) first. On the left we have the input (like the horizontal axis on a graph) and on the right is the output, or the value of the function (the vertical axis on a graph). If you look on that right list, the highest number is 8. This is the maximum value of g(x). Now we have to compare this to f(x). Looking at f(x), it's an upside-down parabola (like a frown), with starts at 9 on the vertical axis and goes down from there. You can see this if you think about plugging in x=0. Then f(0)=9. If you plug in any other number for x, it gets squared, then multiplied by -5, o you have 9 + [negative number], which will be less than 9. So the maximum value for f(x) is 9. Since 9 is 1 unit larger than 8 (the max for g(x))

To compare the maximum values of function, which is a discrete function with given values, we find that C ) It is 3 units lower for f ( x ) than g ( x )

To compare the maximum values of functions f(x) and g(x), we first analyze each function separately. The quadratic function f(x) = -4x2 + 5x has a vertex form which reveals its maximum value at x = 1/3, and since g(x) is a discrete function defined by its values at certain points, we look directly at the given values to find its maximum.

Function g(x) reaches its maximum at g(2) = 8. Comparing this to f(x), whose vertex form shows that its maximum is f(1/3), we need to compute f(1/3) = -4(1/3)2 + 5(1/3) to find its specific value. After calculation, f(1/3) is found to be higher than 8, which is the maximum of g(x).

Thus,

g ( x ) maximum value = 8

f ( x ) maximum value = 5

g ( x ) max - f ( x ) max = 8 - 5 = 3

Complete Question:

Functions f(x) and g(x) are described as follows:

f(x) = -4x2 + 5

x g(x)

0 0

1 4

2 8

3 4

4 0

Which statement best compares the maximum value of the two functions? A. It is equal for both functions. B. It is 3 units higher for f(x) than g(x). C. It is 3 units lower for f(x) than g(x). D. It is 4 units lower for f(x) than g(x).

Other Questions

If laurie has albinism but neither of her parents exhibits this inherited condition, the trait must be __________ and laurie's genotype for this trait is _________. Who constructed railroads? A. State governments B. National governments C. Private investors D. Native American tribes Which of these has the highest h+ concentration? lemon juice, ph = 2.3 red wine, ph = 3.2 tomato juice, ph = 4.7 household ammonia, ph = 10.8? What is the value of 1*2+ 3 / 6*5 - 4? Express as a fraction. How does the swans condition in The Wild Swans at Coole by William Butler Yeats contrast with that of the speakers? Usain bolt can run the 100 m dash in 9.58 s. what is usain's average acceleration during this sprint? The results of a survey are shown below.in the survey,12 students said that they would like to learn French. The poh of a solution is 9.32. calculate the hydrogen ion concentration of the solution. Nitric acid, hno3, dissociates in water to form nitrate ions and hydronium ions. what change in hybridization of the nitrogen atom occurs in this dissociation "Goodie-bye!" The old man called Toby spoke to them, poor souls! And he was flyin gone.So they say. The Overseer told it. The one called Master said it was a lie, a trick of the light. The Driver kept his mouth shut.Which element of folktale is included in this excerpt?A) It has one version and is recounted the same way every time.B) It has different versions, depending on the storyteller.C) It is a story that relates to real historical events.D) It is passed down to generations through the written word. Quizzn for an optimum esthetic result, what is the minimum time to wait after an anterior tooth extraction before making a final impression for a fixed partial denture? The hypothalamus uses nervous stimulation to control the secretion of hormones from which gland which statements about the American Civil War are true Choose ALL answers that are correct.A. a economic differences created tension between the North and South B. Lincoln fail describe to describe a Clear Vision for the future of the country.C. the war was short because of the North Superior military leadersD. the Emancipation Proclamation made the war a fight to end slavery Romeo & Juliet who is Queen Mab and what does she do? Help Please thank you! Use the text below to answer the following question: Case study: The Very Big Apple With over eight million people, New York City is the most heavily populated city in the U.S. Between 1800 and 1900, the population of New York increased from about 80,000 to over three million people. In the years after the Civil War, the population of New York City tripled. With a large influx of European immigrants New York became known as the "melting pot." New York has always had the highest population density of any U.S. city. According to the 2000 census, New York City has about 26,403 people per square milealmost twice the number of people per mile as Chicago. Based on the statistics in the text and your knowledge, what was most likely the biggest challenge for city officials because of the wave of immigrants? Keeping up with housing needs Finding jobs for everyone Protecting those already in the city Increasing mass transportation Based in the graph, what is the initial value of the linear relationship A)-4B)-3C)5/3D)5 kiara downloaded 264 pictures from her cellphone to her computer. these pictures took up 528 megabytes of space on her computer. each picture took up the same amount of space. how many megabytes do 35 of these picture take up Jenny has just learned that she is 4 weeks pregnant (first trimester). she has been looking forward to all the ice cream, chips, and cakes she has seen women on tv and in the movies eating when they are pregnant. what is the most appropriate advice for jenny? Which group off americans generally failed to experience thw economic prosperity of the 1920s?