Your dad says you can have a new puppy if you build the dog house. Before building, you need to determine the dimensions. The width of the base of the dog house is 4 ft, the height of the wall is 3 ft, and the length
of the base is 5 ft. With the dimensions for the base and walls, you need to decide on the height of the roof (represented by the dotted line in the image below). The triangle portion of the dog house formed by the
roof has two sides that are the same length.

After choosing the height for the roof, find the slant height of the roof using the dimensions provided. What is the slant height of the roof?
You are hoping to put shingles on the roof and need to know what the square footage of the roof will be. Use the dimensions to calculate the area of the roof.
Hint: Remember to find the area of the entire roof.

Answer:  1/9 of a mile per hour

=========================================================

Explanation:

6 & 3/4 = 6 + 3/4 = 24/4 + 3/4 = (24+3)/4 = 27/4

The work crew paves 3/4 of a mile in 27/4 hours. Divide those two fractions:

(3/4) divide (27/4)

(3/4) times (4/27)

(3*4)/(4*27)

3/27

1/9

The unit rate is 1/9 of a mile per hour. In other words, for each hour, they are able to pave 1/9 of a mile on average. So we should expect it takes about 9 hours to pave a full mile.

The description of the graph of function g(x) is 3 units translation up

The equations of the functions are given as

f(x) = 4x + 1

g(x) = (4x + 1) + 3

Substitute f(x) = 4x + 1 in the equation g(x) = (4x + 1) + 3

So, we have

g(x) = f(x) + 3

The above rule implies that:

The function g(x) is a translation of the function f(x)

The unit of the translation is 3 and the direction of the translation is up

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anwser

2−11+30

hope this help and plz give me brainly

Answer:

Step-by-step explanation:

Use FOIL method

(c - 6) * (c - 5) = c*c + c*(-5) + (-6)*c + (-6)*(-5)

                     = c² - 5c - 6c + 30         {Combine like terms}

                     = c² - 11c + 30

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

Answer:

A random sample is meant to be an unbiased representation of the larger population.

Answer:

1st one

Step-by-step explanation:

Answer:

Step-by-step explanation:

The result is consistent with the previous calculation, and option C, 3.682, is the correct answer.

To calculate log4 57 to the nearest thousandth, we can use a scientific calculator or a logarithmic table.

Using a calculator, we can find the logarithm of 57 to the base 4 directly:

log4 57 ≈ 3.682

Therefore, the correct answer is option C: 3.682.

If you prefer to verify the result using logarithmic properties, you can do so as follows:

Let's assume log4 57 = x. This means \(4^x\) = 57.

Taking the logarithm of both sides with base 10:

log (\(4^x\)) = log 57

Using the logarithmic property log (\(a^b\)) = b \(\times\) log a:

x \(\times\) log 4 = log 57

Dividing both sides by log 4:

x = log 57 / log 4

Using a calculator to evaluate the logarithms:

x ≈ 3.682

Thus, the result is consistent with the previous calculation, and option C, 3.682, is the correct answer.

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Answer:-5

Step-by-step explanation:

Answer:

There is a school with an area of 5/6 (the school is a rectangle)one side is 1/12 what is the length of the other side.

Step-by-step explanation:

The graph of the scenario of the inequality 8x + 5y ≤ 100 is added as an attachment

From the question, the given parameters are:

Also, we have the inequality of the possible combinations to be

8x + 5y ≤ 100

Such that

The next step is to plot the graph of the inequality

This can be done by the use of a graphing tool

So, we enter the inequality on the graphing tool and attach the graph

Recall that the inequality is given as

8x + 5y ≤ 100

See attachment for the graph of the inequality 8x + 5y ≤ 100

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The fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

A fraction represents a part of a whole.

1. Let's say Alexa had a total of 5x crayons in the bag.

the number of blue crayons in the bag is 2x,

There is one triangle for every two round crayons,

(1/2) × 2x = x (By condition)

So, the fraction of crayons that are blue triangle is x / 5x = 1/5.

The number of blue round crayons is 2x.

The number of non-blue crayons is 5x - 2x = 3x,

The ratio of blue rounds to non-blue crayons is 2x / 3x = 2/3.

2.

4 out of 5 wall footballs are rubber, 4/5 of the footballs in the bag are rubber.

The fraction of rubber footballs that are brown is 2/3.

The fraction of footballs that are brown rubber footballs is (4/5) × (2/3) = 8/15.

The fraction of non-brown rubber footballs is (4/5) - (8/15) = 4/15.

The ratio of rubber footballs to non-rubber footballs is (4/5) / (1/5) = 4.

So there are 4 times as many rubber footballs as non-rubber footballs

Hence,  the fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

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The number 102 in the sequence will be closest to 100.

A sequence in which each next term gets increased or decreased from the preceding by a constant value is called an arithmetic progression.

The difference of any two consecutive terms in an arithmetic progression is called the common difference of the AP (arithmetic progression).

Here each terms increases by 8. So, the common difference d is 8.

The first term is given to be 38.

So our sequence will be,

38, 46, 54, 62,...

nth term in an AP can be calculated by using the formula,

aₙ = a₁ + (n-1)d

To find the term nearest to 100,

100 = 32 + (n-1)8

68/8 = (n-1)

9.5 = n

But the value of n can not be a non-integer,

So the term nearest to 100 will be 9th or 10th term.

a₉ = a₁ + (9-1)d

a₉ = 8 + (8 x 8)

a₉ = 94

and,

a₁₀ = a₁ + (10-1)d

a₁₀ = 8 + (9 x 8)

a₁₀ = 102.

We can see,

a₁₀ = 102 is closest to 100.

Hence, 10th term is closest to 100.

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Answer:

-10

Step-by-step explanation:

-5(2) - 4(-1) - 8 +2(2)

Answer:

-10

Step-by-step explanation:

-5(2)-4(-1)-8+2(2)=

-10+4-8+4=-10

-×- is +

-×+ is -

The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

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Answer:

\(-\dfrac{1}{4}\)

Step-by-step explanation:

Given two points (-9,-6) and (3,-9). The slope of the line through the points is determined by the formula:

\(Slope, m=\dfrac{y_2-y_1}{x_2-x_1} ,$ where (x_1,y_1)=(-9,-6), (x_2,y_2)=(3,-9)\\$Therefore:\\ m=\dfrac{-9-(-6)}{3-(-9)}\\=\dfrac{-9+6}{3+9}\\=\dfrac{-3}{12}\\\\m=-\dfrac{1}{4}\\\)

The slope of the line through the points (-9,-6) and (3,-9) is \(-\dfrac{1}{4}\)

Answer:

the slope of the line through the points (-9,-6) and (3,-9) is \(-\dfrac{1}{4}\)

Step-by-step explanation:

Given that,

Points (x₁ , y₁) is (-9,-6) respectively and

( x₂ , y₂) is (3,-9) respectively.

The slope of the line through the points is determined by the formula:

\(Slope, m=\dfrac{y_2-y_1}{x_2-x_1}\)

where x₁ = -9

y₁ = -6

x₂ = 3

y₂ = -9

Therefore:

\(\\ m=\dfrac{-9-(-6)}{3-(-9)}\\=\dfrac{-9+6}{3+9}\\=\dfrac{-3}{12}\\\\m=-\dfrac{1}{4}\\\)

Therefore, the slope of the line through the points (-9,-6) and (3,-9) is \(-\dfrac{1}{4}\)

Answer:

first solve for x

8x=20

x=2.5

5x=17

x=3.4

then your equations

Madison: y=2.5x

Lucas: y=3.4x

then your ordered pairs

Madison: (4,10)

Lucas:(3,10.2)

then your slope

Madison-2.5

Lucas-3.4

I hope this is good enough:

Answer:

B. how long the toy rang

Step-by-step explanation:

In order to test the battery, you need to see which will last the longest. Therefore, you should time how long it rang.

The total probability of a girl having a "K-name" is 3/8. The total probability of there being a girl in the club is 5/8.

Therefore, the conditional probability of having a girl with a "K-name" given that there is a girl in the club can be calculated as follows:

P (Girl | K-name) = P (K-name | Girl) × P (Girl) / P (K-name) = 2/5 * 5/8 / 3/8 = 2/3

Therefore, the probability of a girl with a K-name given that there is a girl in the club is 2/3.

In a club consisting of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve, and Samuel), we are asked to find P(Girl | K-name).

We can use Bayes' theorem to calculate the conditional probability of this event. This theorem states that the probability of an event given another event can be calculated as the product of the probability of the second event Therefore, the probability of a girl having a "K-name" given that there is a girl in the club is 2/3.

The conditional probability of there being a girl in the club given that a girl has a K-name is 2/3.

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Answer:

B.

Step-by-step explanation:

V = (pi)r^2h

V = 3.14 * (8 m)^2 * 28 m

V = 5626.9 m^3

Answer: B.

Answer:

x = 20

Length = 20ft

Width = 12ft

Step-by-step explanation:

A = 240

x^2 - 8x = 240

x^2 - 8x - 240 = 0

x^2 - 20x + 12x - 240 = 0

x(x-20) + 12(x-20) = 0

(x+12)(x-20) = 0

x = 20

x = -12 (which we discard since x is a length)

So the dimensions are 20ft and 20-8 = 12ft

Answer: the answer is : you write a compound inequality for the amount of money she would spend, subtract the money she did spend and divide by the cost of what she has yet to buy she can buy between 1-7 shirt

Step-by-step explanation:

I took quiz

Answer:

The answer would be 78

Step-by-step explanation:

4 x 12 = 48

48 + 30 = 78

Therefore the answer is 78

Answer:

Yes Your Work Is correct.

James King

Hope This Helped

Have A Great Day

Answer:

it looks good to me!?

and your hand writing is amazing

Step-by-step explanation:

Question d:

(D) Find the probability of F'nA'

Answer:

0.4140

0.7619

0.2381

0.9576

Step-by-step explanation:

Given that :

Female in fatal accident P(F) = 0.2805

Driver is 24 years or less P(A) = 0.1759

Driver is female and 24 years or less P(FnA) = 0.0424

A.) Find the probability of FUA.

P(FUA) = P(F) + P(A) - P(FnA)

= 0.2805 + 0.1759 - 0.0424

= 0.4140

(b) Find the probability of F'UA.

P(F'UA) = 1 - P(F) + P(FnA)

= 1 - 0.2805 + 0.0424

= 0.7619

C.) P(FnA') = 1 - P(F'UA)

= 1 - 0.7619

= 0.2381

(d) Find the probability of F'nA'

P(F'nA') = (FnA)' = 1 - (FnA)

= 1 - 0.0424

= 0.9576

Answer:

3.959797975

Step-by-step explanation:

1. Find the square root of 98 which is 9.899494937

2. Divide 9.899494937 by 2.5 which is 3.959797975

(sorry if it's wrong, but I think it's correct)

The given coins [1, 2, 5] and the value 11, the minimum number of coins needed is 2.

Here are the steps to find the minimum number of coins:

1. First, we create an array of size equal to the given value, initialized with a very large number. This array will store the minimum number of coins needed to make each value from 0 to the given value.

2. We set the first element of the array to 0, as it doesn't require any coins to make a value of 0.

3. Next, we iterate through all the coins available and for each coin, we iterate through all the values from the coin value to the given value.

4. For each value, we calculate the minimum number of coins needed by taking the minimum of the current minimum and the value obtained by subtracting the coin value from the current value and adding 1 to it.

5. Finally, we return the value stored in the last element of the array, which represents the minimum number of coins needed to make the given value.

Let's consider an example to better understand the process:

Given coins: [1, 2, 5]
Given value: 11

1. Initialize the array with [INF, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF] (INF represents infinity).

2. Set the first element of the array to 0, so it becomes [0, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF].

3. For the first coin (1), iterate through the array from index 1 to 11.

  - For index 1, the minimum number of coins needed is 0 + 1 = 1.
  - For index 2, the minimum number of coins needed is 0 + 1 = 1.
  - For index 3, the minimum number of coins needed is 0 + 1 = 1.
  - ...
  - For index 11, the minimum number of coins needed is 0 + 1 = 1.

  The array becomes [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1].

4. For the second coin (2), iterate through the array from index 2 to 11.

  - For index 2, the minimum number of coins needed is 1 (minimum of 1 and 0 + 1 = 1).
  - For index 3, the minimum number of coins needed is 1 (minimum of 1 and 0 + 1 = 1).
  - For index 4, the minimum number of coins needed is 1 (minimum of 1 and 1 + 1 = 2).
  - ...
  - For index 11, the minimum number of coins needed is 1 (minimum of 1 and 1 + 1 = 2).

  The array becomes [0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2].

5. For the third coin (5), iterate through the array from index 5 to 11.

  - For index 5, the minimum number of coins needed is 2 (minimum of 2 and 0 + 1 = 1).
  - For index 6, the minimum number of coins needed is 2 (minimum of 2 and 1 + 1 = 2).
  - ...
  - For index 11, the minimum number of coins needed is 2 (minimum of 2 and 2 + 1 = 3).

  The array becomes [0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 2].

6. The minimum number of coins needed to make the given value (11) is 2.

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Answer:

y=5 x=-2

Step-by-step explanation:

the easiest answer would be a vertical or . horizontal line