Answer:
A.-12x^2-5x-102
Step-by-step explanation:
We are given a polynomial of degree 2 where terms are not grouped and simplified.
We have
-21x^2+22x^2-13x^2-10x+5x-102
To get this in proper form we have to group the like terms first
x^2 term = -21x^2+22x^2-13x^2 = x^2 (-21+22-13)
= x^2(-34+22) = -12x^2
x terms are -10x+5x = x(-10+5) = -5x
Constant term is only one = -102
Hence the polynomial in simplified form is
-12x^2-5x-102
What would be the correct answer for my question, 25 divided by 715. I need an answer as soon as possible
Please help!!! Important!!!! Sister needs help!!!!
Answer,
14Explanation,
All you need to do is simplify,
15 - (-3) -4 = ?
15 - (-3) = 18
18 - 4 = 14
Hope this helps :-)
calculate the mean, median,and mode
To calculate the median: you want to organize all the numbers in it's data so it should look like this: 2, 5, 5, 8, 10, 12, 18, 20.
Now that it is organized look for the middle number so 9 is our median. I got this by adding 8 + 10 which equals 18 then dividing it by 2. So anytime you have 2 middle numbers add them then divide it by 2 it will always be your median.
To determine the mode: look for the number the occurs the most. I only see two 5's so the answer is 5 for our mode.
To determine the mean: Add all the numbers together then divide it by how many numbers there are so there are 8 numbers divide it by 8 after we add them.
2+5+5+8+10+12+18+20= 80 divide it by 8 and it equals 10. So 10 is the mean.
What is the function rule for the line?
Choices are in the screenshot! I'd appreciate the help! :)
Answer:its correct got a 100
Step-by-step explanation:
Why do you think the AA Similarity Postulate is introduced as a postulate and not a theorem?
Need help please hurry DON'T TYPE AND ACT LIKE YOUR GONNA ANSWER THE QUESTION IF YOUR NOT GOING TO who ever gets it right i will give you the brainiest!
good luck!
[tex]x-intercept(\frac{26}{3},0)
y -intercept (0,\frac{13}{2} )[/tex]
y is a lil messed up in term of looks but meh
have a good day breh
Find the minimum value of C=-2x+y subject to the following constraints x≥-5 x≤4 y≥-1 x≤3
Answer:
The minimum value of C is -9
Step-by-step explanation:
we have
[tex]C=-2x+y[/tex]
[tex]x\geq -5[/tex]
[tex]x\leq 4[/tex]
[tex]y\geq -1[/tex]
[tex]y\leq 3[/tex]
using a graphing tool
The solution is the shaded rectangle
see the attached figure
The vertices of the rectangle are the points
[tex](-5,3),(4,3),(4,-1),(-5,-1)[/tex]
To find the the minimum value of C, substitute the value of x and the value of y of each vertex and calculate the value of C, then compare the results
For [tex](-5,3)[/tex]
[tex]C=-2(-5)+3=13[/tex]
For [tex](4,3)[/tex]
[tex]C=-2(4)+3=-5[/tex]
For [tex](4,-1)[/tex]
[tex]C=-2(4)-1=-9[/tex]
For [tex](-5,-1)[/tex]
[tex]C=-2(-5)-1=9[/tex]
therefore
The minimum value of C is -9
A group of hikers walks 2 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final destination. What vector describes their hike from their starting position to their final destination? Let 1 unit represent 1 mile.
Answer:
Intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction
Step-by-step explanation:
Required vector is consists of the two components
vx= 2+4=6 units and vy= 1 unit and vx ⊥ vy
We will use Pythagorian theorem to find intensity of the vector v
v∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 units
The angle ∡α between vector and east direction we wil find with tanα
tanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°
Good luck!!!
Answer:
The vector that describes their hike from their starting position to their final destination is < 6, 1 >
How many combinations exist of the letters w, x, y, z, taking two at a time?
The binomial coefficient
[tex] \displaystyle \binom{4}{2} = \dfrac{4!}{2!(4-2)!} = \dfrac{4\cdot 3}{2} = 2\cdot 3 = 6 [/tex]
Tells you that there are 6 ways of choosing a subset of two letters from the four given letters.
For each of these subsets there are two combinations (you can interchange the two letters: say that you choose the subset wz, you have the two combinations wz and zw)
So, there is a total of 12 combinations of the letters w, x, y, z, taking two at a time.
There are 6 ways of choosing a subset of two letters from the four given letters.
What is a combination?The arrangement of the different things or numbers in a number of ways is called the combination.
For each of these subsets there are two combinations (you can interchange the two letters: say that you choose the subset wz, you have the two combinations wz and zw)
So, there is a total of 6 combinations of the letters w, x, y, z, taking two at a time.
The combination will be calculated as:-
[tex]^4C_2=\dfrac{4!}{2!(4-2)!}[/tex]
[tex]^4C_2=\dfrac{4\times 3}{2}[/tex]
[tex]^4C_2=6[/tex]
Therefore there are 6 ways of choosing a subset of two letters from the four given letters.
To know more about combinations follow
https://brainly.com/question/11732255
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Which equation represents a direct linear variation?
direct linear variation is a straight line in which the y intercept is 0
a- wrong because it is quadratic, not linear.
b- correct, linear with a y intercept of 0
c- wrong because its exponential
d- wrong, its linear but the y intercept is 3, not 0
F (x) = -7x^2 g(x)=-35x^2+5
What transformations change the graph of f(x) to the graph of g(x)?
A. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 1/5 and translated down 5 units.
B. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5
and translated down 5 units.
C.The graph of g(x) is the graph of f(x) stretched vertically by a factor of 1/5
and translated up 5 units.
D. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5
and translated up 5 units.
Answer:
D
Step-by-step explanation:
hello!!! the correct answer for this problem is D
Answer:
D. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5
and translated up 5 units.
Step-by-step explanation:
What are the domain and range of the function f(x) = -3 (x-5)^2 + 4?
Domain=all real numbers
Range is x≤4
Hope this helps :)
To determine when the coin will be worth $150, you can substitute 150 for y and solve for t. What value do you get for t when you do that?
Answer:
5.23 years, the time at which the coin has increased in value to $150.
Step-by-step explanation:
Use the exponential function f(t) = 4*2^t.
Substitute $150 for f(t): $150 = 4*2^t.
Simplify this by dividing both sides by 4: $150/4 = 2^t, or $37.50 = 2^t.
Next, solve for the value of t. To do this, take the common log of both sides, obtaining:
log 37.50 = t*log 2. Thus, t = [log 37.50] / [log 2]. Evaluate this using a calculator:
t = 1.57403 / 0.30103 = 5.23 time units. For example, this could be 5.23 years.
Answer:
It will take about 17.7 years, or almost 18 years, for the coin to be worth $150.
Because the initial year was 2016, the coin is predicted to be worth $150 in 2034.
Step-by-step explanation:
On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by the function f(d) = 1.11√d. Part a: determine f(2) and explain what it represents.
Answer:
The value of f(2)≈1.57
The time it takes an object to fall 2 feet is 1.57 seconds.
Step-by-step explanation:
Consider the provided function.
[tex]f(d) = 1.11\sqrt{d}[/tex]
It takes for an object to fall a distance, d, in feet,
We need to determine f(2).
Substitute the value d = 2 in the above function.
[tex]f(2) = 1.11\sqrt{2}[/tex]
[tex]f(2)\approx 1.57[/tex]
The value of f(2)≈1.57
The time it takes an object to fall 2 feet is 1.57 seconds.
What shows the correct substitution of the values a,b, and c from the equation 0=-3x^2-2x+6
When dealing with a quadratic equation, you usually assign the following name to the coefficients of the variables:
[tex] ax^2+bx+c=0 [/tex]
So, [tex] a [/tex] is the coefficient of [tex] x^2 [/tex], [tex] b [/tex] is the coefficient of [tex] x [/tex] and [tex] c [/tex] is the constant term.
In your case, the coefficient of [tex] x^2 [/tex] is -3, so [tex] a=-3 [/tex]
The coefficient of [tex] x [/tex] is -2, so [tex] b = -2 [/tex]
The constant term is 6, so [tex] c = 6 [/tex]
Circumference of a circle with diameter of 12.5 feet??
The graph represents a person’s heart rate in beats per minute during 30 minutes of exercise. Which statement best describes the relationship between heart rate and time during exercise? The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually increases for 5 minutes. The heart rate decreases for 6 minutes, remains constant for 19 minutes, and then gradually increases for 5 minutes. The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes. The heart rate remains constant for 6 minutes, increases for 19 minutes, and then gradually decreases for 5 minutes.
We know that
when we start exercise our hear beats starts increasing gradually
because blood flowing rate becomes higher
and it keeps increasing upto a certain limit
because for normal human beings maximum heart rate is 135 beats per minute
and it remains constant there for few minutes
and as we slow down slowly
It will start decreasing gradually and then becomes normal
we can see the graph
so,
The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes..........Answer
Answer:The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes. Positive
Step-by-step explanation:
What is 3.56 * 10 with an exponent negative 5 in standard form
Answer: .0000356
Step-by-step explanation:
3.56 x 10⁻⁵
the exponent of 5 tells you to move the decimal 5 places
the negative sign tells you to move the decimal to the left.
Equation Given: 3.56 x 10^-5
Simple Explanatio: Lets start with this 10^-5 since the exponents is a negative you must subtract the exponent from the base and after you do so this is what your left with -5 and now since we have done the work lets rewrite the answer as 3.56 x 10^-5 the equation may not be changed but that's how i was told to do it and now solve. The decimal in 3.56 will be moved to the left five times because this equation has an negative exponent not a positive so you should end up with the simple answer of 0.0000356
Hopefully this helps ^0^
10 ≥ 9 + v
Please show work!
Remember to isolate the variable. Subtract 9 from both sides
10 (-9) ≥ 9 (-9) + v
10 - 9 ≥ v
Simplify. Combine like terms
1 ≥ v
1 ≥ v is your answer
hope this helps
Please help .!!!!!!!!!!!!!!!!!!!
((V/π)(3/4))1/3 = R so I would say possibly the second one
Four times a number increased by six is the same as seven times the number.
Call that number x.
Then rewrite as equation:
4x+6=7x
solve for x
6=3x
2=x
So the number is 2.
Check that 2 is the number by following the original wording, mentally.
Hey there!!
Let's take the number as 'x'
4 times the number is 4x
This is increased by 6
We will have to add 6.
... 4x + 6
7 times a number is 7x
... 7x
Both these values are equal.
Hence,
... 4x + 6 = 7x
... 6 = 3x
... x = 2
Hence, the number is 2.
31 points for the right answer if you DON'T KNOW Skip pass this
Substitute x = 2 into each of the expressions
left: 6* 8 - 2(2) = 48 - 4 = 44
right: 6(5 +2) = 6(7) = 42
44 > 42
Answer
>
How do you work this problem? 5 - 2x = 0
Answer:
x = 5/2
Step-by-step explanation:
Isolate x by adding 2x to both sides, obtaining: 5 - 2x + 2x = 2x. Then 5 = 2x, and dividing both sides by 2 results in x = 5/2.
Leticia Cox is a biochemist. She is testing two different types of drugs that induce cell growth. She has selected two cultures of 1000 cells each. To culture A, she administers a drug that raises the number of cells by 200 each day and every day thereafter. Culture B gets a drug that increases cell growth by 8% each day and every day thereafter. Assuming no cells die, how many cells will have grown in each culture by the end of the seventh day? a. Culture A: 1400 cells Culture B: 713 cells c. Culture A: 713 cells Culture B: 1400 cells b. Culture A: 800 cells Culture B: 517 cells d. Culture A: 517 cells Culture B: 800 cells
1. Culture A.
Since the number of cells increases by 200 each day and every day thereafter, then after seven days the number of cells will increase by
[tex]200\cdot 7=1,400.[/tex]
2. Culture B.
The initial number of cells was 1,000. Since the number of cells increases 8% each day and every day thereafter, then after seven days the number of cells will be
[tex]1,000\cdot (1.08)^7\approx 1,713.[/tex]
The number of cells that have grown by the end of the seventh day is
1,713-1,000=713.
Answer: option A -- Culture A: 1400 cells Culture B: 713 cells
Answer:
A is correct: Culture A: 1400 cells
Culture B: 713 cells
Step-by-step explanation:
Correct on Edge 2020 Quiz
Dr. Jimenez found that after applying an antibiotic to bacteria, he observed only 90% of the bacteria left in the culture dish each hour. If the initial bacteria count was 100, what was the bacteria count after 5 hours? Round to the nearest whole number.
There were ___ bacteria after 5 hours.
The complete statement is:
There were 59 bacteria after 5 hours
The initial population of the bacteria is given as:
[tex]a =100[/tex]
The proportion left after each hour is given as:
[tex]b = 90\%[/tex]
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
Substitute values for (a) and (b)
[tex]f(x) = 100 \times (90\%)^x[/tex]
Express percentage as decimal
[tex]f(x) = 100 \times (0.9)^x[/tex]
After 5 hours, the value of x is 5
i.e. x = 5
So, we have:
[tex]f(x) = 100 \times (0.9)^5[/tex]
Evaluate the exponent
[tex]f(x) = 100 \times 0.59049[/tex]
Multiply
[tex]f(x) = 59.049[/tex]
Approximate
[tex]f(x) = 59[/tex]
Hence, there were 59 bacteria after 5 hours
Read more about exponential population function at:
https://brainly.com/question/20115298
HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!
chose the pieces with no symmetry
The answer would be the bottom left. You can't fold it in half and have it match up with the other side.
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
An on-line electronics store must sell at least $5000 worth of computers and printers per day. Each printer costs $350 and each computer costs $750. The store can ship a maximum of 20 items per day. Which system of inequalities models correctly the number of computers, c, and number printers, p, the store could sell per day?
"An on-line electronics store must sell at least $5000 worth of computers and printers per day"
The bold faced words tell us greater than or equal to 5000
"The store can ship a maximum of 20 items per day"
The bold faced words tell us less than or equal to 20
We can automatically eliminate A and B since they don't have EQUAL sign in them. From C and D, we choose D because it correctly attaches the price of printers and computers to the respective variables (printers is p & computers is q). Choice C does this wrong!
ANSWER: D
Paulo took out a $900 loan using an 12% simple interest rate for a period of 9 months. What the effective annual interest rate for the loan? Give your answer as a percentage to the nearest tenth of a percent.
Answer:
12.68%
Step-by-step explanation:
To calculate effective annual interest rate we need to use the following formula:
[tex]i=(1+\frac{r}{m})^m-1[/tex]
Where, 'i' is the effective annual interest rate
'r' is the annual rate of interest
'm' is the frequency of compounding.
When there is continuous compounding the effective annual rate uses the following formula:
[tex]i=e^r-1[/tex]
In our case we would are assume that there is continuous compounding since no information regarding the frequency of compounding is given:
Plugging r=12%=0.12, we get:
[tex]i=e^{0.12}-1[/tex]
[tex]i=1.1274-1=0.1274[/tex]
[tex]i=0.1274[/tex]
[tex]i=12.74\%[/tex]
Therefore, the effective annual interest rate is 12.74%.
Answer:
13.2
Step-by-step explanation:
Given that m∠BDC = 47°, m∠CAB = 52°, and m∠BEC = 99°
Is there enough evidence to prove that . If so, explain.
(3 points)
The given figure is a rectangle.
Given angles are- m∠BDC = 47°, m∠CAB = 52°, and m∠BEC = 99°
The sum of the angles m∠BDC = 47°, m∠CAB = 52° is the measure of m∠BEC which is 99°
This is sufficient to prove. Measure of angle A and D are 90 degrees each as they are right angles triangles. So, inner angle A is 90-52 = 38 degrees. Inner angle D will be 90-47 =43 degrees.
Measure of triangle AED = 180 degrees
Let inner E = x
then, 38+43+x=180
x=99 degrees
Outer E and inner are vertical angles and so, they are same.
Moreover, triangles AED and BEC are same so E is 99 degrees
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
Simplify: 12 + 10i +14i
Simplify: 12 + 10i +14i = 12 +24i
answer
B) 12 +24i
24i+12 thats pretty basic though