The functions q and r are defined as follows.
q(x)=2x + 2
r(x)=-2x²-2
Find the value of r(q(2)).

Answer: there are 11 calories in one glass of milk and 14 calories in one snack bar.

Step-by-step explanation:

Take milk to to be M and snack bars to be S.

Use algebra, so

2m + 3s = 64 and also

4m + 2s = 72

Multiply the top equation by 2 so both have 4m, so

4m + 6s = 128 and also

4m + 2s = 72

Then minus the numbers form the top equation by the bottom equation, so

4m + 6s = 128

- - -

4m + 2s = 72

This gives you 4s=56 so divide by 4 so s=14

No put 14 into the equation for s and rearrange to solve for m, so

2m+3s=64 So

2m+3x14=64

2m+42=64

Then minus 42

2m=22

m=11

For this case the distance will be given by:

d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2

Rewriting we have:

d ^ 2 = (18) ^ 2 + (12) ^ 2

d ^ 2 = 324 + 144

d ^ 2 = 468

d = root (468)

d = 21.63 Km

Answer:

1) She did not find the full distance each traveled in 1.5 hours.

2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.

Answer:

a and b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You basically just add the numbers where x is. I tried it with 5 and both equalled 28. Using 5 as x makes the equation equal which is what we are looking for. So the answer is x=5.

Answer:

besti you didnt put the statement

Answer:180+65=245, your answer is 245 degrees.

Step-by-step explanation:

Answer:

Here is the answer

And I have a problem

Step-by-step explanation:

Answer:

The measure of the angle subtended by each arc intercepted by the sides of the reh13-gon is approximately 27.69°

Step-by-step explanation:

The number of of equal sides in a regular 13-gon = 13 sides

The measure of the angle, 'θ', subtended by each arc intercepted by the sides of the 13-gon is given as follows;

θ = 360°/13 = [tex]27\dfrac{9}{13} ^{\circ}[/tex]  

By rounding rounding the answer to the nearest 10th, we have that the measure of the angle subtended by each arc intercepted by the sides of the 13-gon, θ = [tex]27\dfrac{9}{13} ^{\circ}[/tex] ≈ 27.69°

Answer:

b

Step-by-step explanation:

Sorry this isn't the answer, I could give it to you but I know a website that would help you better and I don't feel like opening my laptop but desmos would be great for this if you don't already use it

Step-by-step explanation:

But you put the (2,4) in a box and the (-6,5) in another box and the answer will be where they connect like in and x

Answer:

d = 711 miles

Step-by-step explanation:

The speed s of the car is given by :

[tex]s=3\sqrt{d}[/tex] ...(1)

Where

d is the stopping distance

We need to find the stopping distance of a car travelling at 80 mph.

Rearranging equation (1) for d.

[tex]s^2=9d\\\\d=\dfrac{s^2}{9}\\\\d=\dfrac{80^2}{9}\\\\d=711.1\ miles[/tex]

or

d = 711 miles

So, the required stopping distance is 711 miles.

Answer: D

Step-by-step explanation:

The perimeter is all the sides added up

2.5x + 2.5x + 10 + 2 + 10 =>

5x + 22

It is also given that the perimeter is 10.5x

meaning that both these values are equal

5x + 22 = 10.5x

Answer:

Uriel's stick is LONGER by 7/24 feet

Step-by-step explanation:

Uriel's hiking stick is 3 2/3 feet long, and Nat's is 3 3/8 feet long. Whose walking stick is longer and by how much?

The above question is solved as

Uriel's stick - Nat's stick

= 3 2/3 feet - 3 3/8 feet

= 7/24 feet

Hence, Uriel's stick is LONGER by 7/24 feet

This might help

total surface area Stot = 42.5 ft2

lateral surface area Slat = 30 ft2

top surface area Stop = 6.25 ft2

bottom surface area Sbot = 6.25 ft2

but im thinking they would need 113.7 ft of rapping paper i many be totally wrong tho

Answer:

42.5

Step-by-step explanation:

To find how many square inches of wrapping paper he will need you need to find the area of each face of the box and add them all together.

Top and bottom face:

First, 2.5 times 2.5 equals 6.25. Multiply 6.25 times 2 since there is one for the top and bottom to get 12.5

Left, Right, front, and back face:

Multiply 2.5 by 3 to get 7.5, and multiply 7.5 by 4 to get 30 since there are four faces with the same area.

Final Step:

Now, just add all the areas of the faces calculated to recieve the answer of 42.5

30 + 12.5 = 42.5

Answer:

In other respects, a balloon mortgage resembles an adjustable rate mortgage (ARM) with an initial rate period equal to the balloon period. A 7-year balloon, for example, is usually compared to a 7-year ARM. Both have a fixed-rate for 7 years, after which the rate will be adjusted.

Step-by-step explanation:

Answer:

Both are subject to current market rate after the initial rate period.

Step-by-step explanation:

Answer:

t=-8

Step-by-step explanation:

-3+-5-2t = 8

-8 -2t = 8

t = -8

Answer:

37/10

( I hope this was helpful) >;D

Answer:

47

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

can I get how you solved it

Answer:It connects with the line showed

Step-by-step explanation:

Answer: the y-intercept is (0,-1)

u get this by looking at the coordinate on the y axis and figure it out...

Step-by-step explanation:

Answer:

Micah can earn $2,669

I hope this helps

Step-by-step explanation:

Step-by-step explanation:

area of figure = 5x² + 3

plz mark my answer as brainlist plzzzz.hope this will be helpful to you if you find it useful ☺️

Answer:

Whenever you divide two terms with the same base, you keep the base and subtract the exponents.

Example:

x³ / x⁷ = x³⁻⁷ = x⁻⁴ = 1 / x⁴

or

8¹³ / 8⁶ = 8¹³⁻⁶ = 8⁷

Whenever you multiply two terms with the same base, you keep the base and add the exponents.

Example:

x³ × x⁷ = x³⁺⁷ = x¹⁰

or

12⁻⁵ × 12⁹ = 12⁻⁵⁺⁹ = 12⁹⁻⁵ = 12⁴

Answer:

Nets of rectangular prisms are made up of rectangles and squares. Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

Step-by-step explanation:

Answer:

By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.

Step-by-step explanation:

This is edges sample resopnse

Answer:

C

Step-by-step explanation:

We want to simplify:

[tex](3a-2b)^2[/tex]

Recall the perfect square trinomial pattern:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Let a = 3a and b = -2b. Thus:

[tex](3a-2b)^2=(3a)^2+2(3a)(-2b)+(-2b)^2[/tex]

Simplify:

[tex]=9a^2-12ab+4b^2[/tex]

Our answer is C.

Answer:

Which part of the story's plot structure does this sentence illustrate? I think its B. Climax

Answer:

1 mile every 7.6 min

Step-by-step explanation:

Answer:

7.6 minutes per mile

Step-by-step explanation:

38 divided by 5 equals to 7.6

Answer:

16

Step-by-step explanation:

If 3 x 4 = 12 then you need to do the same to the number 4 so 4 x 4 =16

Answer:

3 : 4 :: 12 : x proportion 3x = 48 product means/extremes Can you solve for x and answer?

(If not look below.)

Step-by-step explanation:

ratio: 3:4

so divide 12 by 3=4

and multiply 4 by 4=16

your friend sells 16 tickets

ratio is now 12:16

4 : 3 = 12 : x

x = 12 * 4  / 3  = 16

Answer:

its c

Step-by-step explanation:

Answer:

the answer you are looking for is B

Answer:

52 = b + (3b - 4)

Answer:

96 combinations

Step-by-step explanation:

when you get a question like this you multiply all the numbers and you get total number of combinations possible

Answer:

36 outcomes

As this a sandwich shop it uses bread for all meats.

3 x 4 x 3 = 36

Because 3 x 4 = 12

As the toppings are only repeated 8x3 = 24 and alongside this we add the shorter combinations to this  

Step-by-step explanation:

B1  M1    <  B1 M2 <  B1 M3  < B1 M4  < B1 M1 T1  < B1 M1 T2 < B1 M1 T3  to B1 M1 T8 etc = 12 combinations step 1

B2   M1  repeat above with B2 to replace B1 above  = 12

B3   M1  repeat above with B3 to replace B1 above = 12

As we only multiply whole numbers together if we are looking for an order of sequence such as combinations to a safe number code or how people stand in a queue etc back to middle number. We would get 96

Bread x middle value then outcome x toppings = 36 outcomes

Answer:

The 90% confidence interval for the difference in mean (μ₁ - μ₂) for the two bakeries is; (49) < μ₁ - μ₂ < (289)

Step-by-step explanation:

The given data are;

Bakery A

[tex]\overline x_1[/tex] = 1,880 cal

s₁ = 148 cal

n₁ = 10

Bakery B

[tex]\overline x_2[/tex] = 1,711 cal

s₂ = 192 cal

n₂ = 10

[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) - t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2} \right ) + t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]

df = n₁ + n₂ - 2

∴ df = 10 + 18 - 2 = 26

From the t-table, we have, for two tails, [tex]t_c[/tex] = 1.706

[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( 10-1 \right )\cdot 148^{2} +\left ( 18-1 \right )\cdot 192^{2}}{10+18-2}}= 178.004321469[/tex]

[tex]\hat \sigma[/tex] ≈ 178

Therefore, we get;

[tex]\left (1,880-1,711 \right ) - 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}< \mu _{1}-\mu _{2}< \left (1,880-1,711 \right ) + 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}[/tex]

Which gives;

[tex]169 - \dfrac{75917\cdot \sqrt{35} }{3,750} < \mu _{1}-\mu _{2}< 169 + \dfrac{75917\cdot \sqrt{35} }{3,750}[/tex]

Therefore, by rounding to the nearest integer, we have;

The 90% C.I. ≈ 49 < μ₁ - μ₂ < 289