Mathematics High School

Compare the functions shown below:


f(x) = −3x − 5
g(x)

cosine function with y intercept at 0, negative 3 h(x) = 2 cos(2x − π) + 4


Which function has the greatest y-intercept?

a. f(x)
b. g(x)
c. h(x)
d. all three functions have the same y-intercept

Answers

Answer 1

Find all y-intercepts:

1. For f(x): when x=0 you have that f(0)=-3·0-5=-5, then y-intercept is a point (0,-5).

2. For g(x): from the task conditions you have that g(x) is cosine function with y intercept at 0, negative 3, then y-intercept is a point (0,-3).

3. For h(x): when x=0 you have that h(0)=cos(2·0-π)+4=cos(-π)+4=-1+4=3, then y-intercept is a point (0,3).

As you can see the greatest y-intercept has function h(x).

Answer: correct choice is C.

Answer 2

Answer:

C

Step-by-step explanation:

I just took the test. :)

Related Questions

What is the measure of ∠P ? Round your answer to the nearest degree.

A.) 29°

B.) 42°

C.) 65°

D.) 78°

Answers

im lates but the answer on K12 is B. 42


Answer:

B. [tex]42^{\circ}[/tex]

Step-by-step explanation:

We have been given an image of a triangle. We are asked to find the measure of angle P.

We will use law of sines to solve for angle P.

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex], where a, b and c are the sides corresponding to the angles A, B and C.

Upon substituting our given values we will get,

[tex]\frac{sin(P)}{QR}=\frac{sin(Q)}{PR}[/tex]

[tex]\frac{sin(P)}{47.6}=\frac{sin(73^{\circ})}{68}[/tex]

[tex]\frac{sin(P)}{47.6}=\frac{0.956304755963}{68}[/tex]

[tex]\frac{sin(P)}{47.6}=0.01406330523475[/tex]

[tex]\frac{sin(P)}{47.6}\times 47.6=0.01406330523475\times 47.6[/tex]

[tex]sin(P)=0.6694133291741[/tex]

Now we will use arcsin to find the measure of angle P.

[tex]P=sin^{-1}(0.6694133291741)[/tex]

[tex]P=42.021801403079^{\circ}\approx 42^{\circ}[/tex]

Therefore, the measure of angle P is 42 degrees and option B is the correct choice.

For the standard normal curve, find the z-score that corresponds to the 90th percentile.

Answers

The 90th percentile refers to the value above 90 percent of the data. This is illustrated in the figure.

Using a z-table(also attached) or a technology, we can solve that  z=1.28.

you deposit $400 in a saving account with an annual rate of 4%. At this rate how much money will you have after 10 years?

Answers

Use the equation y = A(1 + r) ^t 

A = original amount
r = rate of interest
t = time

Plug in the numbers: y = 400(1.04)^10

y = $592.10

Find an explicit rule for the nth term of the sequence. 9, 36, 144, 576, ...

Answers

The answer is  an = 9 • 4n - 1

The explicit rule for the [tex]nth[/tex] term of the given sequence is [tex]a_n=9(4)^{n-1}[/tex].

Given:

The given sequence is [tex]9,36,144,576[/tex].

To find:

The explicit rule for the [tex]nth[/tex] term of the given sequence.

Explanation:

the first term of the sequence is [tex]9[/tex].

The ratios of two consecutive terms are:

[tex]\dfrac{36}{9}=4[/tex]

[tex]\dfrac{144}{36}=4[/tex]

[tex]\dfrac{576}{144}=4[/tex]

The given sequence is a geometric sequence because the sequence has a common ratio [tex]4[/tex].

The explicit formula for the [tex]nth[/tex] term is:

[tex]a_n=ar^{n-1}[/tex]  

Where, [tex]a[/tex] is the first term and [tex]r[/tex] is the common ratio.

Substituting [tex]a=9,r=4[/tex], we get

[tex]a_n=9(4)^{n-1}[/tex]  

Therefore, the explicit rule for the [tex]nth[/tex] term of the given sequence is [tex]a_n=9(4)^{n-1}[/tex].

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a two way frequency table allows you to organize what data?

Answers

Final answer:

A two-way frequency table is used to organize bivariate data into a format that helps calculate relative frequencies, empirical probabilities, and analyze marginal and conditional distributions.

Explanation:

A two-way frequency table allows you to organize bivariate data. This type of table is particularly useful in displaying data concerning two categorical variables, such as gender and sports preferences. The table sets up data in a way that makes it easier to calculate relative frequency and, as a result, empirical probability. It also assists in organizing the data for marginal and conditional distributions. Joint frequencies are the counts in the body of the table, while the marginal frequencies are located in the table's margins, summarizing the totals for each variable across all categories. Conditional distributions can then be analyzed, focusing on particular subsets within the table to assess probabilities within those subsets.

Determine if the statement is always, sometimes, or never true: A scalene triangle is an acute triangle.

Answers

Always true.....……................

Answer:

it is true

Step-by-step explanation:

Area is the distance around a shape while perimeter is the space within a shape.

a) true
b) false

Answers

i am pretty sure that it is false
but if it is wrong im sorry
Area is the space inside a 2d object which looks like A = lw while perimeter is l + w = p
therefore it is false.

Anyone know this geometry question?

Answers

D. ADE and BDC
Are opposite on the vertical

Marge correctly guessed whether a fair coin turned up "heads" or "tails" on sic consecutive flips. What is the probability that she will correctly guess the outcome of the next coin toss?

Answers

The probability of guessing a coin flip outcome is 0.5 (50%) and it is independent of the outcome of the previous flips:
P(guessing the 7th flip, after six consecutive flips) = 0.5


Also, we can use the compound probability, which can be found by simply multiplying the probabilities of each event:
P(guessing 7 in a row) = 0.5 × 0.5 × 0.5 × 0.5 × 0.5 × 0.5 × 0.5 
                       = (0.5)⁷
                       = 0.0078

Hence, the probability that Marge correctly guesses the 7th flip is still 50%, but in general, the probability of guessing 7 consecutive flips is 0.78%.

Answer with explanation:

 It is given that ,Marge correctly guessed whether a fair coin turned up "heads" or "tails" on sic consecutive flips.

When we flip a coin , there are two possible Outcomes, one is Head and another one is Tail , that is total of 2.

Probability of an event

         [tex]=\frac{\text{Total favorable Outcome}}{\text{Total Possible Outcome}}[/tex]

Probability of getting head

                      [tex]=\frac{1}{2}[/tex]

Probability of getting tail

                      [tex]=\frac{1}{2}[/tex]

⇒There can be two guesses , either it will be true and another one will be false.

So, Possible outcome of correct guess={True, False}=2

--Probability of Incorrect(False) guess

                       [tex]=\frac{1}{2}[/tex]

--Probability of Correct(True) guess in seventh toss

                       [tex]=\frac{1}{2}\\\\=\frac{1}{2} \times 100\\\\=50 \text{Percent}[/tex]

⇒Probability that she will correctly guess the outcome of the Seventh coin toss, if previous sixth tosses has correct guess

  =T×T×T×T×T×T×T, where T=True guess

  = 0.5×0.5×0.5×0.5×0.5×0.5×0.5

 =0.0078125

=0.0078 (approx)

Find the measure of an angle with measure between 0° and 360° that is coterminal with an angle measuring –800°. °

Answers

Just add 360 to -800 until you end up with an angle between 0 and 360:
-800+360=-440
-440+360=-80
-80+360=280

So the angle is 280 degrees.

Answer:

280

Step-by-step explanation:

you buy a circular rug with a diameter of 8 feet how much floor space for the rug cover

Answers

PiR^2 is the area so R^2 = 4*4 = 16
16 * Pi = 50.265 the rug will take up 50.265 ft
Final answer:

The circular rug with a diameter of 8 feet covers approximately 50.27 square feet of floor space. This was calculated by finding the area of the circle using the formula πr².

Explanation:

The question refers to how much floor space a circular rug with a diameter of 8 feet will cover. To solve this, you need to calculate the area of the circle. The formula for the area of a circle is πr², where r is the radius of the circle. But we were given the diameter, which is twice the radius. So the radius of the rug is 8/2 = 4 feet.

Substitute r=4 into the formula: Area = π(4²) = 16π square feet. Therefore, the circular rug covers 16π, or approximately 50.27 square feet of floor space.

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a bag contains 30 lottery balls numbered 1-30 a ball is selected replaced then another is drawn find each probability
p ( and even,then odd )
p ( 7, then a number greater than 16)
p ( a multiple of 5, then a prime number )
p ( two even number )

Answers

Answer:

Given : A bag contains 30 lottery balls numbered 1-30 a ball is selected replaced then another is drawn.

To find : Each probability  

1) p ( and even,then odd )  

2) p ( 7, then a number greater than 16)

3) p ( a multiple of 5, then a prime number )  

4) p ( two even number )

Solution :

[tex]\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}[/tex]

1) There are 15 even numbers and 15 odd numbers.

Probability of getting even first then odd is

[tex]\text{P(even,then odd)}=\frac{15}{30}\times\frac{15}{30}[/tex]

[tex]\text{P(even,then odd)}=\frac{225}{900}=\frac{1}{4}[/tex]

2) Number greater than 16 out of 30 are 14.

Probability of getting 7 first then a number greater than 16 is

[tex]\text{P(7, then a number greater than 16)}=\frac{1}{30}\times\frac{14}{30}[/tex]

[tex]\text{P(7, then a number greater than 16)}=\frac{14}{900}=\frac{7}{450}[/tex]

3) Multiple of 5 - 5,10,15,20,25,30=6

Prime numbers - 2,3,7,9,11,13,17,19,23,29=10

Probability of getting a multiple of 5, then a prime number  is

[tex]\text{P(a multiple of 5, then a prime number )}=\frac{6}{30}\times\frac{10}{30}[/tex]

[tex]\text{P(a multiple of 5, then a prime number )}=\frac{60}{900}=\frac{1}{15}[/tex]

4) There are 15 even numbers.

Probability of getting  two even number is

[tex]\text{P( two even number)}=\frac{15}{30}\times\frac{15}{30}[/tex]

[tex]\text{P( two even number)}=\frac{225}{900}=\frac{1}{4}[/tex]

Given that ABCD is a rhombus, find the value of x (x-10)

Answers

The attached image is the rhombus in question.
To start, a rhombus will have perpendicular bisectors.
With that, we know that the section where these bisectors cross will create 90 degree angles.
So now we have angles: x, (x-10), and 90.

A triangle will total 180 degrees in total. So if we add up all of these angles, it will total to exactly 180.

In other words: 90+x+(x-10)=180.

So, in this situation, we want to isolate the variables, and find the value of x.
This is the easy part:

Here's that equation again
90+x+(x-10)=180

Subtract 90 from both sides
90-90+x+(x-10)=180-90

x+(x-10)=90

Add 10 to both sides
x+x-10+10=90+10
x+x=100
2x=100

Divide by 2 on both sides
2x/2=100/2
x=50

There's your x value.

Help Please thank you!

Answers

The answer is D. Subtract 6 from both sides, then divide the equation by 3, to get x = 5
the answer is the last one
Subtract 6 from both sides of the equation and then divide by 3. the solution is    x = 5

A manufacturer packages bolts in boxes containing 100 each. each box of 100 bolts contains on average four defective bolts. the quality control staff randomly selects a box at the end of the day from an entire production run. what is the probability that the box will contain less than three defective bolts? use the poisson distribution table.

Answers

The probability of a Poisson distribution is given by:

[tex]P(k)=e^{-\lambda} \frac{\lambda^k}{k!} [/tex]

where: [tex]\lambda[/tex] is the average number of events and k is the required probability.

Given that a manufacturer packages bolts in boxes containing 100 each and that each box of 100 bolts contains on average four defective bolts. Thus, [tex]\lambda=4[/tex].

The probability that the box will contain less than three defective bolts is given by:

[tex]P(0)+P(1)+P(2)=e^{-4}\cdot \frac{4^0}{0!} +e^{-4}\cdot \frac{4^1}{1!} +e^{-4}\cdot \frac{4^2}{2!} \\ \\ =e^{-4}(1+4+8)=13(0.0183)=0.2381[/tex]
Final answer:

Using Poisson Distribution, the probability that the box will contain less than three defective bolts is computed by adding up the probabilities of finding 0, 1, or 2 defective bolts in a box. The average occurrence rate is 4 defective bolts on average.

Explanation:

Based on the provided details, we can conclude that this is a problem involving Poisson Distribution. The key parameters here are that the box contains 100 bolts and on average, 4 bolts are defective. The question asks for the probability that the box will contain less than three defective bolts, or in other words the probability that there are either 0, 1, or 2 defective bolts in a box. With a Poisson distribution, the formula to calculate the probability is P = lambda^k * exp(-lambda) / k! where lambda is the average occurrence rate, k is the number of occurrences of the event, and exp refers to the exponential function.

To calculate the probability of finding less than 3 defective bolts, we add together the probabilities of finding 0, 1, and 2 defective bolts using the above formula. In this example, lambda = 4 defective bolts on average, and we substitute k with 0, 1, and 2 respectively. Solve these cases separately and then add them up, that will give you the probability that a box will contain less than three defective bolts.

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BRAINLIST ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!

1. A wooden plank is leaning against an outside wall of a building. The bottom of the plank is 3 ft from the wall. Find each of the following values, and show all your work.
(a) Find the approximate length of the plank. Round to the nearest tenth of a foot.
(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.

2. A support wire is strung from a tree. The bottom of the wire is 24 ft from the tree. The length of the wire is 30 ft. Find each of the following values, and show all your work.
(a) Find the value of x. Round to the nearest tenth of a degree.
(b) Find the approximate height where the wire touches the tree. Round to the nearest foot.



Answers

Question 1:
(a) Using sine rule
ground/Sin 49 = plank/Sin 90

But sine 90 = 1, ground = 3 ft
Then,
3/Sin 49 = plank
Length of the plank = 3/Sin 49 ≈ 4.0 ft (rounded to nearest tenth)

(b) Height where the plank touches the wall

wall = Sqrt (plank^2 - ground^2) = Sqrt (4.0^2 - 3.0^2) ≈ 2.6 ft (Rounded to nearest tenth)

Question 2:
(a) Angle x
ground = 24 ft
support wire = 30 ft

Applying sine rule
support wire/Sin 90 = ground/Sin (90-x) ----- but Sin 90 = 1
Then,
Support wire = ground/Sin (90-x)
Sin (90-x) = ground/support wire = 24/30 = 0.8
90-x = Sin^-1(0.8) = 53.13 => x = 90-53.13 = 36.9°

(b) Height where the wire touches the tree (tree)
tree = Sqrt (support wire^2 - ground^2) = Sqrt (30^2 - 24^2) = 18 ft

Dylan wants to construct the midpoint M of RS which diagram shows a way Dylan can accurately construct M using only a compass and a straight edge

Answers

D is correct:

because of doing the correct steps:

step1: put the point of your compass on the left endpoint of the segment, A.
Open the compass to be more than half the length of the segment. Then leave a half-circle mark.
step2: do the same thing on the other point B. and find the middle point.

If f(x)=2x and g(x)=x^{2}-1, which statement is true?


a) 2x^{2}-1
b) 2x(x^{2}-1)
c) 4x-1
d) 4x^{2}-1

Answers

It is d 
...............................................

6. Food Express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on their receipt. So far, 147 of the first 156 customers have not received a star on their receipts. What is experimental probability of winning a free gallon of milk?

A. 11/156
B. 49/52
C. 2/39
D. 3/52*****?

Answers

Experimental probability is the change that something will occur based on what has already happened.

If 147 people have not won, this means that 9 people have won.

9 have won/156 total customers simplifies to 3/52.

3/52 is the experimental probability of winning a free gallon of milk.

[tex] |\Omega|=156\\
|A|=156-147=9\\\\
P(A)=\dfrac{9}{156}=\dfrac{3}{52}\implies \text{D} [/tex]

Given a point and a plane, how do you find a line that is parallel to the plane that passes through the point?

Answers

first we should solve the slope.
M1=M2 only if the lines are parallel...
and then we should take one point from our line and solve the equation with the standard line formula.

Y=m(x-X1) +Y1

BRAINLIEST IF RIGHT
The image represents what geometric construction?
A) Copy an angle construction
B) Parallel lines construction
C) Copy a segment construction
D) Perpendicular from a point not on the line

Answers

The construction appears to be marking off the length of the segment on the ray. The appropriate choice seems to be ...
  C) Copy a segment construction
Final answer:

Without the visual reference of an image, the specific geometric construction represented can not be accurately determined. The provided options relate to different types of geometric constructions. These include copying angles, constructing parallel lines, copying segments, and creating perpendiculars from a point not located on a line.

Explanation:

The geometric construction represented by the image is not entirely clear without an image. However, if we are to interpret the options, we can make some educated assumptions. Copy an angle construction involves replicating an existing angle in a new location. A parallel lines construction typically involves creating a line parallel to an existing one. To copy a segment construction, you would reproduce a particular line segment. The option of creating a perpendicular from a point not on the line would typically involve making a line perpendicular to an existing line from a specific point not originally on that line. Without the image, we can't definitively answer the question.

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which of the following expressions is the inverse of the function
[tex]y = \frac{x - 2}{3} [/tex]

Answers

[tex]y=\dfrac{x-2}{3}\ \ \ |\cdot3\\\\x-2=3y\ \ \ \ |+2\\\\x=3y+2[/tex]

Answer: [tex]y^{-1}=3x+2[/tex]

Which of the following sequences of numbers are arithmetic sequences?

Check all that apply.

A.2, 4, 6, 8, 10, ...
B.1, 1, 1, 1, 1, ...
C.1, 2, 3, 5, 6, 7, ....
D.3.0, 3.1, 3.2, 3.3, 3.4, ...
E.2, -4, 6, -8, 10, ...

Answers

An arithmetic sequence is a sequence of numbers with a common difference. 

In the choices above, only A and D are arithmetic sequences. 

In A, the common difference is 2 while in D, it's 0 .1. 


B can't be an arithmetic sequence since the number 1 is just being repeated many times, there's no progression.

C as well. Be observant of the pattern, it can be an arithmetic sequence only if it has 4 before 5. 

E obviously is not an arithmetic sequence. If you try to find the difference between the consecutive terms, it's not common. 

PLS HELP! THIS IS FOR STATE TESTS TOMORROW!! Shannon has a garden that is 18 by 27 feet. Find the perimeter of the garden. Please submit your answer and explain how to find the perimeter.

Answers

Perimeter = 2(Length + Width)

Perimeter = 2( 18 + 27) = 2(45) = 90 feet.


Answer: 90 feet

If 5 balls are placed randomly into 3 bins, what is the expected number of balls in each bin?

Answers

It would be simple division 5/3 = 1.66.

Find all the solutions of the equation in the interval 0 2pi) 2sin2x=2+cosx

Answers

Assuming you mean sin(x)^2 and not sin(2x),

2sin(x)^2 = 2 - 2cos(x)^2

2cos(x)^2 + cos(x) = 0

cos(x)(2cos(x) + 1) = 0

cos(x) = 0 or cos(x) = -1/2

x = π/2, 3π/2, 2π/3, 4π/3

Need help ASAP ! Please !!

Answers

Answer A should be the answer. 

Hope this helps.

Volume of pyramids and cones day 1

Answers

the volume of a cone is = pi r^2 h/3
and the volume of the pyramid is = V= l w h/3
Hope this helps!
can I get a brainleist 

Given: Circle M with inscribed and congruent radii JM and ML Prove: m = What is the missing reason in step 8? Statements Reasons 1. circle M with inscribed ∠KJL and congruent radii JM and ML 1. given 2. △JML is isosceles 2. isos. △s have two congruent sides 3. m∠MJL = m∠MLJ 3. base ∠s of isos. △are ≅ and have = measures 4. m∠MJL + m∠MLJ = 2(m∠MJL) 4. substitution property 5. m∠KML = m∠MJL + m∠MLJ 5. measure of ext. ∠ equals sum of measures of remote int. ∠s of a △ 6. m∠KML =2(m∠MJL) 6. substitution property 7. 7. central ∠ of △ and intercepted arc have same measure 8. 8. ? 9. 9. multiplication property of equality reflexive property substitution property base angles theorem second corollary to the inscribed angles theorem Mark this and return

Answers

The answer for this is Substitution property

Substitution Property is considered as one of the most intuitive of the mathematical properties that you'll probably encounter. You may have been using substitution without even knowing it. This property says that if x=y, then in any true equation involving y, you can replace y with x, and yet you'll still have a true equation.
 
Take a look at the attached example shown below.

Answer:

substituition property

Step-by-step explanation:

In the diagram below what is the approximate length of the minor arc XY

Answers

The answer is B.

The formula for arc length is s = r(theta) Theta must be in radians, so convert 40 degrees to radians, which is 2pi/9. Multiply 2pi/9 by the radius, 9, and then you'll get the answer. Hopes this helps!

Answer:

B. 6.3 cm

Step by step explanation:

We have been given measure of central angle which intercepts to our minor arc XY.  

Since we know that the formula to find measure of arc length is:

[tex]\text{Arc length}=\frac{\theta}{360}\times \text{circumference of circle}[/tex]

[tex]\text{Arc length}=\frac{\theta}{360}\times {2\pi r}[/tex]  

Now let us substitute our given values in above formula.

[tex]\theta=40^{o}[/tex] and [tex]radius=9 cm[/tex]

[tex]\text{Arc length}=\frac{40}{360}\times {2\pi \cdot 9}[/tex]

[tex]\text{Arc length}=\frac{1}{9}\times {2\pi \cdot 9}[/tex]

[tex]\text{Arc length}=2 \pi [/tex]

[tex]\text{Arc length}=6.2831853071795865\approx 6.3[/tex]

Therefore, length of minor arc XY is 6.3 cm and option B is the correct choice.







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