The table below gives input and output values for the function h(x) = a^x.

Answer:

20 minutes.

Step-by-step explanation:

Since it takes 5 people to paint 5 walls 20 minutes, that means that it would take 1 person 20 minutes to paint 1 wall. That also means that 2 people would take 20 minutes to paint 2 walls. So, it would take 9 people 20 minutes to paint 9 walls.

Hope this helps!

Complete Question :

In golf, a score below zero is “under par” and a score above zero is “over par.”

Tyrone played 18 holes of golf and had the same score on each of the first 14 holes. He then had the same score on each of the next four holes. His score on the first 14 holes was –42 and his final score was –34. Which describes Tyrone’s score on each hole?

A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.

B. He scored 3 under par on each of the first 14 holes and 2 under par on each of the next four holes.

C. He scored 3 under par on each of the first 14 holes and 4 over par on each of the next four holes.

D. He scored 3 under par on each of the first 14 holes and 4 under par on each of the next four holes.

Answer: A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.

Step-by-step explanation:

Given that :

a score below zero is “under par” and a score above zero is “over par.”

Same score on each of the first 14 holes

Total score on first 14 holes = - 42

Therefore, score on each hole = ( total score / number of holes)

= - 42/14 = - 3

Negative signifies that it is 'under par'

Score on each of the next four holes is also the same.

Therefore, total score on next four holes :

(final score - total score on first 14 holes)

(-34 - (-42))

(-34 + 42) = 8

Total score on next four holes = 8

Score on each hole = 8/4 = 2

Positive score means he scored over par

Answer:

a

Step-by-step explanation:

I did quiz

Answer:

6

Step-by-step explanation:

If 2 of the friends wants to stand beside each other, we can take these 2 friends like 1 option and calculated the number of ways, using the rule of multiplication as:

__ 3_____ * ____2_____ *____1____  =  6

1st place        2nd place        3rd place

Because we have 3 options (2 friends and the friends that are beside each other) for the first place of the picture, 2 options for the second and 1 option for the third.

Answer:

A, B and D

Step-by-step explanation:

Following are steps in practical problem solving:

=> Assign an identifying variable to the quantity to be found.

=> Write a sentence stating conditions placed on the quantity.

=> Solve the sentence for the variable.

Answer:

Assign an identifying variable to the quantity to be found.

.Write a sentence stating conditions placed on the quantity.

Solve the sentence for the variable.

Answer:

8x + 20 ≥ 25

Step-by-step explanation:

Well 8 times the sum of a number "x" plus 20,

So we can write the following,

8x + 20

and that should be greater than or equal to 25

8x + 20 ≥ 25

Thus,

as an inequality it is 8x + 20 ≥ 25.

Hope this helps :)

Answer: Population density the United Kingdom [tex]=2.63\times10^2[/tex]

A= 2.63

B= 2

Step-by-step explanation:

We know that, to calculate the population density, we will divide the population by the size of the area.

i.e. [tex]\text{Population density}=\dfrac{\text{Population size}}{\text{Area}}[/tex]

Given : Area of UK = 243,610 km²1

Population = [tex]6.41 \times 10^7[/tex]

Then, the population density the United Kingdom would be :

[tex]\text{Population density}=\dfrac{6.41 \times 10^7}{243,610}\\\\=\dfrac{64100000}{243610}=263.125487459\\\\\approx263=2.63\times10^2[/tex]

On comparing to [tex]A\times10^B[/tex], we get

A= 2.63

B= 2

Answer:

1:15 pm

Step-by-step explanation:

It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so

7:15 - 6 = 1:15

Answer:

  B.  False

Step-by-step explanation:

In order for segments to form a triangle, the sum of the lengths of the shorter two must be at least as much as the length of the longest one.

The sum of the shorter two is 6 + 5 = 11. This is not as great as 12, the length of the longest one, so no triangle can be formed.

Answer:

x2

Step-by-step explanation:

In 5x, 5 is a constant and therefore if we double x we will double 5 too.

Step-by-step explanation:

It's not cos x^2

[tex]\cos^2x\neq\cos x^2[/tex]

----------------------------------------------

[tex]\cos x-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos x\cos x}{\cos x}-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos^2-\sin^2x}{\cos x}[/tex]

It's the same as

[tex]3-\dfrac{2}{3}=\dfrac{3\cdot3}{3}-\dfrac{2}{3}=\dfrac{3^2-2}{3}[/tex]

Answer:

x = 95°

Step-by-step explanation:

[tex]x = ?\\Sum -of- interior -angles=?\\Shape = pentagon\\No -of - sides= 5\\Sum- of- interior- angles = (n-2)180\°\\=(5-2)\times180\°\\3\times180\°\\Sum-of-interior-angles=540\°\\104\°+117\°+100\°+124\°+x\°=540\°\\445\°+x\° = 540\°\\x\° = 540\°-445\°\\x = 95\°[/tex]

Answer:

y = -2x + 9

Step-by-step explanation:

(1-3)/(-2--3) = -2/1 = -2 = m

y = mx + b

1 = -2(4) + b

9 = b

y = -2x + 9

Answer:

[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]

Step-by-step explanation:

According to the given situation, as we know that the triangle which is ADE and triangle which is ABC are the same

. (as in the diagram)

So, the ratio of their corresponding sides are the same or an equal so that it can be reached at the truth which is here below:

[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]

With the help of a diagram, we can better understand which has been attached.

The ratios  AD : DB  and  AE : EC  are equal.

Answer:

x = 2

Step-by-step explanation:

x + 1/2 (6x - 4) = 6

Expand the brackets.

x + 3x - 2 = 6

Add like terms.

4x - 2 = 6

Add 2 on both sides.

4x = 6 + 2

4x = 8

Divide 4 into both sides.

x = 8/4

x = 2

Answer:

x=5/4

Step-by-step explanation:

Answer:

V = 960 cm ^3

Step-by-step explanation:

The volume is given by

V = Bh where B is the area of the base

B = 1/2 bh since the base is the triangle

B = 1/2 *12*8 =48

V = 48 * 20

V = 960 cm ^3

Answer:

960 cm^3

Step-by-step explanation:

volume of prism = (area of base) * (height of prism)

This is a triangular prism, so the base is a triangle.

area of base of prism = area of triangle = bh/2

The base of the triangle is 12 cm. The height of the triangle is 8 cm.

The height of the prism is 20 cm.

volume = (12 cm)(8 cm)/2 * 20 cm

volume = 960 cm^3

Answer:

∠APD and ∠CPB are Vertical Angles

Equation: 6x - 10 = 4x + 8

Step-by-step explanation:

We use the Vertical Angles Theorem to solve for x:

Step 1: Set up equation

6x - 10 = 4x + 8

Step 2: Subtract 4x on both sides

2x - 10 = 8

Step 3: Add 10 to both sides

2x = 18

Step 4: Find x by dividing 2 on both sides

x = 9

Step 5: Plug in x for 9 to find degree measure

m∠CPB = 4(9) + 8

m∠CPB = 36 + 8

m∠CPB = 44°

m∠CPB = m∠APD (Vertical Angles)

m∠APD = 44°

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

∠APD and ∠CPB are vertically opposite angles

The equation is 6x-10=4x+8

[tex]6x-10=4x+8\\6x-4x=8+10\\2x=18\\x=9[/tex]

Plug x as 9 for the angle.

[tex]4(9)+8\\36+8\\44[/tex]

∠APD and ∠CPB = 44 degrees

Answer:

6080 cm OR 60.8m

Step-by-step explanation:

75 x 40 = 3000 cm

77 x 40 = 3080 cm

They are moving in perfectly opposite directions, which makes a straight line.

3000 + 3080 = 6080 cm = 60.8m

Answer:2

Step-by-step explanation:

-5.4+8.2=14/5 and then opposite of -2 3/4 is 2.

Answer:

Step-by-step explanation:

The deductible amount will be controlled constantly in which the asset is arranged.

Answer:

53

Step-by-step explanation:

Explicit Formula: an = a1 + d(n - 1)

Simply plug in your known variables:

an = 8 + 3(n - 1)

Then plug in 16 for n:

a(16) = 8 + 3(16 - 1)

a(16) = 8 + 3(15)

a(16) = 8 + 45

a(16) = 53

Answer:

53

Step-by-step explanation:

an = dn + (a - d)

an = 3n + 8  - 3

an = 3n + 5

Put n as 16 and solve.

3(16) + 5

48 + 5

= 53

Answer:

The answer is option B

Step-by-step explanation:

t^12/t^6

Use the rules of indices.

Since they have the same base and they are dividing we subtract the exponents.

That's

t^12 - 6

= t^6

Hope this helps you

Answer:

Option B is the right option.

Solution,

[tex] \frac{ {t}^{12} }{ {t}^{6} } \\ = {t}^{12 - 6} \\ = {t}^{6} [/tex]

Explanation:

To divide expression with same base, we copy the base and subtract the indices.

Hope this helps...

Good luck on your assignment..

Answer:

a = 1

Step-by-step explanation:

The factor in front of x must be the same in both equations.

So (a+2) in the first must be 3 (like it is in the second).

That is the case when a=1.

So the +7 and the -4 are not relevant!

Answer:

Step-by-step explanation:

10)a) Let the number = x

4x + 8 = 16

Subtract 8 form both sides

4x + 8 - 8 = 16 - 8

4x = 8

Divide both sides by 4

4x/4 = 8/4

x = 2

The number is 2

b) Let the number = x

4x - 8 = 6

Add 8 to both sides

4x - 8 + 8 = 6 + 8

4x = 14

Divide both sides by 4

4x/4 = 14/4

x = 3.5

The number is 3.5

11) a) Increase in cost = 105 - 100 = $ 5

b) Percentage increase = [tex]\frac{5}{100}*100[/tex]

                                       = 5%

12)  Number of girls = 35

Number of girls wearing glasses  = 15

Number of boys = 40

Number of boys wearing glasses  = 10

a) Percentage of boys wearing glasses = [tex]\frac{10}{40}*100\\[/tex]

                                                                 = 25%

b) Percentage of girls wearing glasses = [tex]\frac{15}{35}*100[/tex]

                                                                 = 42.86%

c) Total children = 35 +40 = 75

Total children wearing glasses = 15 + 10 = 25

Percentage of children wearing glasses = [tex]\frac{25}{75}*100[/tex]

                                                                        = 33.33%

Answer:

False

Step-by-step explanation:

A definition produces out of nothing a new mathematical entity. But a theorem utilizes some relation between previously defined mathematical entities.

Usually a theorem must be verified by a proof of its correctness on the basis of generally accepted statements or on the basis of previously established statements which might include other theorems.

Answer:

slope = difference in y / difference in x

slope = 6/3 = 2 <===

Answer:

D:10

Step-by-step explanation:

find hyp. first

sin 45=opp/hyp.

√2/2=10/hyp.

hyp.=20/√2 0r 10√2

Pythagorean theorem: a²+b²=c²

now find x²=(10√2)²-10²

x²=200-100

x²=100

x=√100=10

Answer:

D. 0.366

Step-by-step explanation:

Hello!

A stemplot is a way of arranging a data set.

In the stem you'll find the integer and first two decimal digits of the batting average, because these values are repeated several times.

In the leafs you'll find the third decimal digit.

So for the first value of the stem "0.32" there is only one observation:

0.329 ⇒  0.32 | 9

For the second value "0.33" correspond 14 observations: 0.330, 0.331, 0.331,0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336,  0.337, 0.338, 0.338, 0.338

0.33 | 0, 1, 1, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8

For the third value "0.34" correspond 12 observations: 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342,  0.344, 0.344, 0.345, 0.346, 0.349

0.34 | 0, 0, 1, 1, 2, 2, 2, 4, 4, 5, 6, 9

For the fifth value "0.35" and the sixth value "0.36" there is only one observation, so, as happened with the first one, these values of the stem will only have one "leaf"

0.358 ⇒ 0.35 | 8

0.366 ⇒ 0.36 | 6

So the whole stem plot for this 30 observations is:

Stem | Leafs

0.32  | 9

0.33  | 0, 1, 1, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8

0.34  | 0, 0, 1, 1, 2, 2, 2, 4, 4, 5, 6, 9

0.35  | 8

0.36  | 6

Considering this, the correct option is D

I hope this helps!

Answer:

The answer is below

Step-by-step explanation:

A store carries four brands of DVD​ players, J,​ G, P and S. From past​ records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four​ brands, find the probability that a random customer will choose brand J or brand P.

P(J)=0.22​, ​P(G)=0.18​, ​P(P)=0.35​, ​P(S)=0.25

Answer: Probability is the ration of possible outcomes to the total number of possible outcomes. The probability of mutually exclusive events i.e. events that cannot occur at the same time is the sum of their individual probabilities. If two events A and B are mutually exclusive events, then:

P(A or B) = P(A) + P(B)

Given that P(J)=0.22​, ​P(G)=0.18​, ​P(P)=0.35​, ​P(S)=0.25, the probability that a random customer will choose brand J or brand P is given by:

P(J or P) = P(J) + P(P) = 0.22 + 0.35 = 0.57

Answer:

Expected value 550,000

Step-by-step explanation:

Calculation of the expected value of the chosen number

We should know that each of the digit of the number may likely be thought of what we called a random variable, in which the first digits and the last digits comes uniformly from [1,2,3,4,5,6,7,8,9] while the last digit can't be 0 because of what we called the palindrome condition).

Therefore each of these two digits will have an expected value of 5 while the other four digits will come uniformly from this digits which are [0,1,2,3,4,5,6,7,8,9] in which each of the digits will have an expected value of 4.5.

Thus Expected value is additive, which means we have to also take place the value into account.

Now let find the EXPECTED VALUE

The expected value will be :

(100,000+1)⋅(5)+(10,000+1,000+100+10)⋅(4.5)

Expected value=550,000

Therefore the Expected value will be 550,000