Marcus is painting the outside of a shoe box for an art project. The box is 9 cm x 10 cm x 3 cm. How much paint does Marcus need?

The tangent line to f(x) = e ˣ at the point x = 2 has slope equal to f ' (2):

f(x) = e ˣ   →   f '(x) = e ˣ   →   f ' (2) = e ²

At x = 2, the function takes on a value of f (2) = e ². Use the point-slope formula to get the equation of the tangent line:

y - e ² = e ² (x - 2)

Solve for y :

y = e ² x - e ²

Answer:

Step-by-step explanation:

Probability of landing on pink:

If spun 10 times then possible outcomes with pink:

Answer:

3 times, or [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

There are 3 out of 10.

Answer:

2(y-2)(y+1)

Step-by-step explanation:

Answer:18 days

Step-by-step explanation:

Answer:

18 days to consume the apple

Step-by-step explanation: 18 because it takes 3 days for a half so six days equals 1 whole apple multiply that by 3 an you'll get 18

Answer:

B 12.68

Step-by-step explanation:

you will need to find the distance between each segment-

so the length of DC, CF, FE, ED

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

DC:

D(-2,-1) C(-1,2)

[tex]d=\sqrt{(-1--2)^{2} +(2--1)^{2} } \\d=\sqrt{1^{2}+3^{2} } \\d=\sqrt{10} =3.16[/tex]

CF:

C(-1,2) F(1,1)

[tex]d=\sqrt{(1--1)^{2} +(1-2)^{2} } \\d=\sqrt{2^{2}+-1^{2} } \\d=\sqrt{4+1} \\d=\sqrt{x} 5=2.24[/tex]

FE

F(1,1) E(2,-2)

[tex]d=\sqrt{(2-1)^{2} +(-2-1)^{2} } \\d=\sqrt{1^{2} +(-3)^{2} } \\d=\sqrt{1+9} \\d=\sqrt{10}= 3.16[/tex]

ED

E(2,-2) D(-2,-1)

[tex]d=\sqrt{(-2-2)^{2} +(-1--2)^{2} } \\d=\sqrt{(-4)^{2}+1^{2} } \\d=\sqrt{16+1} \\d=\sqrt{17}= 4.12\\[/tex]

3.16+2.24+3.16+4.12= 12.68

Answer:

[tex]t \approx 2.639[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccc}{} & {USA\ 1} & {Japan\ 2} & {\bar x} & {64.6} & {67.5} &{n} & {30} & {30} & {\sigma} & {4.0} & {4.5} \ \end{array}[/tex]

See attachment for data

Required

Determine the test statistic

The test statistic is calculated using:

[tex]t = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}}[/tex]

So, we have:

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{4.0^2}{30} + \frac{4.5^2}{30}}}[/tex]

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{16.00}{30} + \frac{20.25}{30}}}[/tex]

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{16.00+20.25}{30}}}[/tex]

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{36.25}{30}}}[/tex]

[tex]t = \frac{-2.9}{\sqrt{1.2083}}[/tex]

[tex]t = \frac{-2.9}{1.099}[/tex]

[tex]t \approx -2.639[/tex]

The absolute value is:

[tex]t \approx 2.639[/tex]

Answer:

180

hope this helps :)

Answer:

if mi stands for miles then 8 miles = 14080 yards

Step-by-step explanation:

8 x 1760

Answer:

14080

Step-by-step explanation:

8 * 1760 = 14080

Answer:

i. The surface area of the ball is approximately 28.0 square inches.

ii. The volume of the ball is approximately 14.0 cubic inches.

Step-by-step explanation:

The ball has the shape of a sphere, so that;

C = 2[tex]\pi[/tex]r

9.4 = 2 x [tex]\frac{22}{7}[/tex] x r

65.8 = 44r

r = [tex]\frac{65.8}{44}[/tex]

r = 1.50 inches

The radius of the ball is 1.50 inches.

i. Surface area of a sphere = 4[tex]\pi[/tex][tex]r^{2}[/tex]

So that,

surface area of the ball = 4 x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{2}[/tex]

                                             = 28.2857

The surface area of the ball is approximately 28.0 square inches.

ii. Volume of the ball = Volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

Volume of the ball =  [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]

                               = 14.1429

The volume of the ball is approximately 14.0 cubic inches.

Answer:

h=13

P=5

b=12

Step-by-step explanation:

Answer:

PQO = 180

OQR = 180

PQR = 220

Step-by-step explanation:

brainliest

Answer:

152

Step-by-step explanation:

Hello there!

The prism shown is a triangular prism

There are many different formulas for solving for the surface area of a triangular prism but I am going to use the most simple one

Formula: SA = bh + L(s1 + s2 + s3) (found in the image)

b = base length

h = height

L = length

s1 = (same thing as the base length)

s2 and s2 = other triangle side lengths ( the base is an isosceles triangle so they are equal to each other.)

The triangular prism has the following dimensions

b = 6

h = 4

L = 8

s2 and s3 = 5

Now that we have identified each dimension we plug in the values into the formula

SA = 6*4 + 8(6+5+5)

6*4=24

8*6=48

8*5=40

40*2=80

80+48=128

128 + 24 = 152 so the surface area of the triangular prism is 152 cm²

Answer:

30 tables

Step-by-step explanation:

1/10 of 300 is 30

Answer:

30 tables were reserved

Step-by-step explanation:

1/10 × 300 = 30

Answer:

19 will be the answer.

Step-by-step explanation:

10+9=19

Answer:

19

Step-by-step explanation:

can i get brainiest

Answer:

18 people ordered beer.

Step-by-step explanation:

15 + 3 = 18 people

Answer:

18

Step-by-step explanation:

Add the 15 as well as the three people who purchased both wine and beer. The total for beer purchases would be 18.

Answer: thank you

Step-by-step explanation:

Answer:

Thanks!

Step-by-step explanation:

Answer:

Brown eyes

Step-by-step explanation:

10/28 Fraction form

0.3571 Decimal form

35.71 % Percentage form

10 is the greatest number out of all the other colors

Answer:-1

Step-by-step explanation:f(x)=3-x2

This is also...

f(x)=3+[(-1)(x2)]

We will execute the exponential. Then, we will multiply the result by the coefficient of -1.

f(-2)=3-(-2)2

f(-2)=3-(+4)

f(-2)=3-4

f(-2)=-1

Answer:

3/5

Step-by-step explanation: its on the page the yellow text you add the top numbers but the bottem number stays the same

Answer:

absolute error: 7 pounds

percent error:4.9%

Step-by-step explanation:

Absolute error:

150-143=7 pounds

Percent error:

=l[tex]\frac{150-143}{143}[/tex] l x 100

=l[tex]\frac{7}{143}[/tex]l x 100

=0.04895x100

=4.895...

=4.9%

Answer:

15 mph

Step-by-step explanation:

Before traffic cleared:

distance = 30 miles

average speed = s

time = t

d = st

30 = st

After traffic cleared:

distance = 176 miles

average speed = s + 29

time = 6 - t

d = st

176 = (s + 29)(6 - t)

30 = st

s = 30/t

176 = (30/t + 29)(6 - t)

176t = (30 + 29t)(6 - t)

176t = 180 - 30t + 174t - 29t^2

29t^2 + 32t - 180 = 0

(29t + 90)(t - 2) = 0

t = -90/29 or t = 2

Time must be a positive number, so we discard the solution t = -90/29.

t = 2

30 = st

30 = s * 2

s = 15

Answer: 15 mph

Answer:

6 is 56.25

7 is 97.50

Step-by-step explanation:

Answer:

140=(w+4)×w

140=w²+4w

w²+4w-140

w=10

l=w+4

l=14

Answer:

(F.) the mode of the data for website K is greater than the mode of the data from website L

Step-by-step explanation:

Mode simply means the parameter that occurs the most.

In website K, the one that occurs the most is 8 hours while in website L, the one that occurs the most is 2 hours.

This means that mode of website K is greater than that of website L.

Thus,statement F is correct

Range is the difference between the highest value and the lowest value..

For website K, Range = 14 - 1 = 13

For website L, Range = 13 - 1 = 12

Thus,range of both websites are not the same and as such statement G is wrong.

For a symmetrical distribution, the left and right hand sides of the centre value line of the distribution have to mirror each other.

In this case neither website K nor L have that. Thus, statement H is not correct.

Skewed to the left means that more o

dot points are found to the left of the graph.

For website L, more dot points are located to the left while for website K, it's not the case. Thus, statement J is not correct

Answer:

f

Step-by-step explanation:

Answer:

The statement that is accurate is csc(θ)=1.06

Step-by-step explanation:

Looking at the reference angle in this triangle, we can see that the side that is 47 units is opposite of it, the side that is 50 units is the hypotenuse, and the side that is 17 units is adjacent to it.

Because we know this, we can plug our sides into the formula for cscθ, secθ, and cotθ.

So:

cotθ=adjacent/opposite = 17/47= 0.36

cscθ=hypotenuse/opposite = 50/47=1.06

Now without even looking at the other statements, we can see that the second one is correct as cscθ=hypotenuse/opposite = 50/47=1.06

Therefore, the statement that is accurate is csc(θ)=1.06.

Answer:

20.8cm

Step-by-step explanation:

1 meter is 100cm

.022m is 22cm

22cm-1.2cm=20.8cm

Answer:

Hi it's down below! Hope it helps

Step-by-step explanation:

1) The angles are Supplementary

This is because both angles form 180°. The angle below angle "7x+9" is the same as 5x+3.  The angle above angle"5x+3" is the same as 7x+9.

2) They are both supplementary

They form 180°

3)180° = 12x+12°

4) Solving that:

180° - 12° = 12x

168° = 12x

x = 168°/12

x = 14°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

the answer is 14°

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

Answer:

1) True

2) False

3) True

4) True

5) False

Answer:

58

Step-by-step explanation:

The range is the difference between the highest and the lowest numbers in the number set.

The highest number in this set is 677 and the lowest number is 619.

677 - 619 = 58