THIS IS MULTIPLE CHOICE!

There is a cluster from 1 to 4 hours.
There is a gap from 5 to 7 hours.
The data has a peak at 3 hours.
The spread is from 1 to 8.

Answer:

[tex] \frac{dh}{dt} = - 32t + 64 = 0 \\a) \: t = \frac{ - 64}{ - 32} = 2 \\ \\ b = - 16 \times 4 + 64 \times 2 + 6 = - 64 + 2 \times 64 + 6 = 64 + 6 = 70[/tex]

Answer:

a) t = 2 seconds

b) 70 feet

Step-by-step explanation:

First of all, we are going to take the derivative of the function (which is a displacement function) to make find its velocity function.

[tex]h(t) = -16t^{2} +64t+6[/tex]

To find the derivative of the equation, we must multiply the coefficient by the exponent and then minus one from the exponent for each term.

[tex]v(t)=(-16)(2)t^{2-1} +64(1)t^{1-1}+6(0)t^{0-1} \\v(t) = -32t +64[/tex]

Now we can substitute in v=0

This is because the ball is at the top of its parabola path, it is the turning point and the slope is 0. The velocity physically speaking would also be 0 at the very top of its path.

[tex]0=-32t+64[/tex]

Rearrange and we get:

[tex]32t = 64\\t=2[/tex]

Ball attains maximum height at 2 seconds.

To find the maximum height, we now just have to substitute back in the time into the original equation to find the height.

[tex]h(t) = -16t^{2} +64t+6[/tex]

[tex]h(2) = -16(2)^{2} +64(2)+6\\h(2)=-64+128+6\\h(2) = 70[/tex]

The maximum height attained is 70 feet.

Hope this helped!

Answer:

120

Step-by-step explanation:

180(6-2)/6

Answer:

Option A

Step-by-step explanation:

Degree of the polynomial function = 4

That means highest degree term of the given polynomial has power = 4

If the roots of a quadratic polynomial are a, b, c, d then the polynomial function will be,

f(x) = (x - a)(x - b)(x - c)(x - d)

It's given in the question that roots are x = -2, -1, 1 and 3

Therefore, polynomial function will be,

f(x) = (x + 2)(x + 1)(x - 1)(x - 3)

From the given options, graph A shows that the graph intersects the x-axis at x = -2, -1, 1 and 3

Therefore, Option A will be the answer.

Answer:

It's 35 months old and weighs 82 kilograms

The data is given in x, y, so the answer will also go in the order x, y.

Hope this helps! :)

Answer:

1. F

2. (2,2)

3.  points P and E

Step-by-step explanation:

Answer:

$37.26

Explanation:

firstly, we find the total original price: $34 + $12 = $46.

next, we can multiply this by 100% - 25% = 75% to find the discounted price:

$46 × 75%

= $46 ÷ 100 × 75

= $34.50

finally, add on the sales tax which is 100% + 8% = 108%:

$34.50 × 108%

= $34.50 ÷ 100 × 108

= $37.26

i hope this helps! :D

Answer:

166°

Step-by-step explanation:

Supplementary angles have a sum of 180 degrees

That being said, we can find the measure of the missing angle by subtracting the measure of the given angle by 180

(the giving angle having a measure of 14°)

so missing angle = 180 - 14

180 - 14 = 166

Hence, the measure of the second angle 166°

Answer:

34 Units ^2

Step-by-step explanation:

Answer:

3 grams are in one chicken wing

Step-by-step explanation:

Set up an equation:

Variable x = grams per 1 chicken wing

1000/3000 = 1/x

Cross multiply

1000 × x = 3000 × 1

1000x = 3000

Divide both sides by 1000 to isolate the variable x

x = 3

Answer:

3

Step-by-step explanation:

3000/1000=3

Answer:

2.9

Step-by-step explanation:

5% of 58

58 × 5 ÷ 100 = 2.9

Step-by-step explanation:

Convert 5% to a fraction first.

[tex]5\% = \frac{5}{100} \\ = \frac{1}{20} [/tex]

5% of 58

=

[tex] \frac{1}{20} \times 58 \\ = \frac{58}{20} \\ = \frac{29}{10} \\ = 2.9[/tex]

Answer:

Yes, it is

Step-by-step explanation:

If you look at a number line, 3 is on the postive side of the number line.

Answer:

The largest angle needed is [tex]95.1^{o}[/tex].

Step-by-step explanation:

To determine the larges angle as required, let us apply the cosine rule.

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos C

Since in triangles, the longest side is opposite to the largest angle, then;

[tex]15^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos θ

225 = 64 + 144 - 192 Cos θ

225 = 208 - 192 Cos θ

192 Cos θ = 208 -225

192 Cos θ = -17

Cos θ = [tex]\frac{-17}{192}[/tex]

Cos θ = -0.08854

θ = [tex]Cos^{-1}[/tex] -0.08854

  = 95.07962

θ = [tex]95.1^{o}[/tex]

The largest angle needed is [tex]95.1^{o}[/tex].

Answer:

y = 6.5 units

Step-by-step explanation:

Let L be the length of sides of the square.

Given the following data;

Perimeter of square = 8y - 12

Area of square = 100 square units

To find the value of y;

Area of a square = L²

Substituting into the formula, we have;

100 = L²

L = √100

L = 10 units

Mathematically, the perimeter of a square is given by the formula;

Perimeter of a square = 4L

Substituting into the formula, we have;

8y - 12 = 4*10

8y - 12 = 40

8y = 40 + 12

8y = 52

y = 52/8

y = 6.5 units

Answer:

Cy

Step-by-step explanation:

x is the number of hours

Answer:

[tex]\text{log}_a(1.5^{-1})=\frac{-9}{5}[/tex]

Step-by-step explanation:

Given;

[tex]\text{log}_a(2)=\frac{1}{2}[/tex]

[tex]\text{log}_a(3)=5[/tex]

By using logarithmic properties,

[tex]\text{log}_a(2)-\text{log}_a(3)=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(\frac{2}{3})=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(\frac{1}{\frac{3}{2}})=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(\frac{1}{1.5})=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(1.5^{-1})=\frac{1-10}{5}[/tex]

[tex]\text{log}_a(1.5^{-1})=\frac{-9}{5}[/tex]

Answer:

Answer:

A.  The temperature of the city and the number of popsicles sold are positively correlated

B.

Slope: 0.1233

Y-Intercept: 6

Step-by-step explanation:

Being dead honest with you less people will answer if there isn;t a photo, But I can't be 100% sure of my answer being there isn't one.

(90,20)

(40,10)

40-90= -50

10-20= -10

-10/-50= 0.2

Thats the slope line I used 2 random numbers, I don't know the order so it might be wrong.

Well look at your graph are the lines going up or down as x increases?

From my assighment it is a increase.

Answer:

answer is ABCD

Step-by-step explanation:

I took the quiz

Answer:

20cm^3

Step-by-step explanation:

The volume of a rectangular prism is just the 3 values multiplied by each other. So that would be 6x5x2/3 = 20cm^3

Answer:

uhhh- sorry I cant see the picture :>

Step-by-step explanation:

But this guy knows the answer >:3

Cory1288 avatar

A) is 76 and B) is 180

why? bc-

cory1288 avatar

104+76=180 and a circle is 360

- Thx for the points have a nice day! ^ω^

Answer:

A. 76

B. 256

Step-by-step explanation:

DF is a diameter so that means the right side of the

circle measure 180 degrees. Angle DGE measures 104, since that the central angle that means Arc DE measures 104 also.

Using arc addition, part of the right side measure 104 so that means the remaining arc must add up to 180.

[tex]104 + x = 180[/tex]

[tex]x = 76[/tex]

Arc EF measure 76.

2. A circle has 360 degrees in it. We are asked to find the measure of the circle expect the Arc ED.

Arc ED measures 104 so

[tex]360 - 104 = 256[/tex]

Answer:

Rs. 42500

Step-by-step explanation:

100% + 25% = 125% ÷100 = 1.25

34000 x 1.25 = 42500

Answer:

1/4

Step-by-step explanation:

Probability (spinning 1) = 2/8

= 1/4

Answer:

2 over 8

Step-by-step explanation:

so there are 8 numbers altogether. there are 2 1s in all so it would be 2 over 8

Answer:

Combination

Step-by-step explanation:

Answer:

This would be a Permutation.

Answer:

A, (10⁵) (10⁻²) > 8⁹/8⁶

Explanation:

A, (10⁵) (10⁻²) > 8⁹/8⁶ = 10³ > 8³ True

B, (10⁵) (10⁻²) < 8⁹/8⁶ = 10³ < 8³ False

C, (10⁵) (10⁻²) = 8⁹/8⁶ = 10³ = 8³ False

Answer:

I think 113.04

Step-by-step explanation:

The formula for the area of the circle is:

A=

[tex]\pi \times r { }^{2} [/tex]

Resolving:

[tex]\pi \times 6 {}^{2} = 113.097[/tex]

Answer:

B

Step-by-step explanation:

cause f ones have 5 lb and t ones have 2.5 lb

Answer:

B

Step-by-step explanation:

The correct answer is B!

Answer:

60

Step-by-step explanation:

5*3=15

3*3=9

4*3=12

4*3=12

4*3=12

(12*3)+9+15= 60

Answer:

i think the voulme would be 60 cm

Step-by-step explanation:

im sorry if its wrong

Answer:

36

Step-by-step explanation:

the volume of the prism is, the area of the base x height

.

b x 16 = 576

b = 36

so the answer is 36

Answer:

C) 36

Step-by-step explanation:

Answer:

[tex]\frac{0.2}{20}[/tex]

Step-by-step explanation:

ez