Label the diagram with the dimensions of the pool

Step-by-step explanation:

this is you're answer thanks for point

Answer:24

Step-by-step explanation:

7/15×45=21

45-21=24

Answer:

8%

Step-by-step explanation:

P(X<79) = normalcdf(0,79,100,15) = 0.0807567112 ≈ 0.08 ≈ 8%

Therefore, the probability, rounded to the hundredth, that a person from Montana will have an IQ less than 79 is 0.08 or 8%

The ordered pairs that represents a function y in terms of x are  {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}

A set of ordered equation represents a linear function if the domain of the coordinates are not repeated.

For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.

From the given linear functions, the ordered pairs that represents a function y in terms of x are  {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}

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Answer:

\({ \bf{by \: relations : }} \\ { \tt{ \frac{28}{7} = \frac{x}{8} }} \\ \\ { \tt{x = \frac{28 \times 8}{7} }} \\ x = 32 \\ \\ { \tt{y = 83 \degree}}\)

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer:

6x^2+4xy

Step-by-step explanation:

You distribute the 2x by multiplying it with each term
2x(3x)+ 2x(2y)

6x^2+4xy

hopes this helps please mark brainliest

The value of the investment after 2 years is K2400.00

The given parameters are:

Principal, P = K2,000.00

Rate, r = 10%

Time, t = 2 years

The value is then calculated as:

Amount = P + PRT

So, we have:

Amount = 2000 + 2000 * 10% * 2

Evaluate

Amount = 2400

Hence, the value of the investment after 2 years is K2400.00

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Answer:

-26 -2x

Step-by-step explanation:

-8+6(-x-3)+4x​

Distribute

-8 -6x -18 +4x

Combine like terms

-8-18  -6x+4x

-26 -2x

Answer:

x- intercept(s): (−13,0)

Step-by-step explanation:

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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Answer:

Rewrite the decimal number as a fraction with 1 in the denominator

4.399=4.3991

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000Rewrite the decimal number as a fraction with 1 in the denominator

4.399=4.3991

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 10004.3991×10001000=43991000

Simplify the improper fraction,

=43991000

In conclusion,

4.399=43991000

We have that \(\frac{4399}{1000}\) is the reduced improper fraction of \(4.399\)

\(\frac{4399}{1000}\)

From the Question we are told that

Write 4.399 as a ratio of two integers

Generally to reduce 4.399 to an improper fraction we have that

\(\frac{4399}{1000}=4.399\)

Improper action representation of the given integer

We proceed to reducing the fraction .We see that the are no means to reduce the fraction

Therefore

\(\frac{4399}{1000}\) is the reduced improper fraction of \(4.399\)

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The value of the account is $47226.73.

The compound interest formula is equal to  

A = P( 1 + r/n )^{nt}

where  A is the Final Investment Value, P is the Principal amount of money that is to be invested, r is the rate of interest, t is the Number of Time Periods, and n is the number of times interest is compounded per year.

Now, we have:

t = 21 years

Principal amount, P = $9000

Rate, r = 8% = 0.08 and

n = 12 as a year has 12 months.

Substituting these values in the formula,

\(A = P( 1 + \frac{r}{n} )^{nt}\)

A = 9000 × ( 1 + 0.08/12)²⁵²

A = 9000 × ( 1 + 0.0066)²⁵²

A = 9000 × ( 1.0066)²⁵²

A = 9000 × 5.247

A = 47226.73

The value of the account will be $47226.73.

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Based on the information given the new balance is $289.72.

First step is to calculate the finance charge

\(\text{Finance charge}=205.16\times(0.144\div12 \ \text{months})\)

\(\text{Finance charge}=205.16\times0.012\)

\(\text{Finance charge}=2.46\)

Second step is to calculate the New balance

\(\text{New balance}=205.16+2.46+82.10\)

\(\text{New balance}=\bold{\$289.72}\)

In conclusion, the new balance is $289.72.

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Answer:

(x1 + x2) , (y1+y2)

   2              2

Step-by-step explanation:

Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

Answer:

9

Step-by-step explanation:

In Order to gain the mean you would follow the formula:

Total Sum of all Numbers added together / Amount of integers.

In this case, you have 5 numbers 1, 3 , 5 , 2 , x .

I know that the overall sum of all your integers added together must equal 20, as 20 / 5 = 4.

1 + 3 + 5 + 2 = 11.

Therefore x must be 9.

1 + 3 + 5 + 2 + 9 = 20

20 / 5 = 4.

Hope this helps and mark as brainilest if found useful.

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer: 50

Step-by-step explanation:

[6+√-64] × 3-√-16

(6+8i)(3-4i)

6(3-4i)+8i(3-4i)

18-24i+24i+32

18+32=50

Answer:

fifty

Step-by-step explanation:

fifty

The incircle centered at point P has a radius of 7 units.

Here given that,

PA = 12 units.

PZ = 7 units

The complete question is :

"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

The radius of the incircle centered at point P is ? units."

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Answer:

c

Step-by-step explanation:

Answer:

This guy is right (option c)

Answer:

y/4=24

y=24×4

y=96

i think you can slove like this

The value of the equation is y = 16

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the equation will be

Substituting the values in the equation , we get

y / 4 = 24 / 6   be equation (1)

So , the proportion is y : 4 : : 24 : 6

On simplifying the equation , we get

Multiply by 4 on both sides of the equation , we get

y = ( 24 x 4 ) / 6

On further simplification , we get

y = 4 x 4

y = 16

Therefore , the value of y is 16

Hence , the equation is y = 16

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Answer + Step-by-step explanation:

\(\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5\)

\(\text{used property :} \ \ \ \frac{a^{m}}{a^{n}} =a^{m-n}\)

_______________________

\((4^8)^3 = a^{8 \times 3}=a^{24}\)

\(\text{used property :} \ \ \ (a^n)^m = a^{n \times m}\)

_______________________

\(10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}\)

_______________________

15⁶ × 15³ = 15⁶⁺³ = 15⁹

_______________________

Recall : If a ≠0  ⇒ a⁰ = 1

Then

Since 6⁸ ≠ 0  ⇒ (6⁸)⁰ = 1  

The domain value that corresponds to a range value of 4 is,

⇒ x = 1/2

Given that;

Function is,

y = 4x + 2

Since, the equation equal to the range value:

4 = 4x + 2

Then, we can solve for "x":

4 - 2 = 4x

2 = 4x

x = 1/2

Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:

y = 4x + 2

y = 4(1/2) + 2

y = 4 + 2

y = 6

Therefore, the domain value that corresponds to a range value of 4 is,

⇒  x = 1/2

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Answer:

a

Step-by-step explanation:

5- 0 = 5

1- -1 = 2

5/2

Therefore, the total amount of water in the pond after 16 minutes of adding water at a rate of 35 liters per minute is 1060 liters.

In mathematics, an equation is a statement that asserts the equality of two expressions, typically separated by an equals sign ("="). The expressions on either side of the equals sign are called the left-hand side and the right-hand side of the equation, respectively. The purpose of an equation is to describe a relationship between two or more variables or quantities, such as x + 3 = 7 or y = 2x - 5. Equations can be used to solve problems and answer questions in various fields of study, such as algebra, geometry, physics, chemistry, and engineering. Solving an equation typically involves finding the value or values of the variable(s) that make the equation true. Some equations may have a unique solution, while others may have multiple solutions or no solutions at all. The study of equations and their properties is a fundamental topic in mathematics.

Here,

To write an equation relating W to T, we can use the formula:

W = 500 + 35T

where T is the time in minutes since the water started being added.

To find the total amount of water after 16 minutes, we can substitute T = 16 into the equation:

W = 500 + 35(16)

= 500 + 560

= 1060

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Answer:

X=313

Step-by-step explanation:

The ratio that can be the ratio between the lengths of the two legs of a 30-60-90 triangle is 1:2:3.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

In this case, the question relates to a triangle. This is a shape that has three sides as well as having the total angles in the shape to be 180°.

Here, the ratio that can be the ratio between the lengths of the two legs of a 30-60-90 triangle:

= 30 / 60 / 90

= 1 / 2 / 3

= 1:2:3.

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The two methods of solving quadratic equation is factorization and completing the square methods.

A quadratic equation is known as an algebraic equation of the second degree in x.

The standard form of a quadratic equation is:

ax2 + bx + c =

where

The methods of solving quadratic equation are:

Thus, the two methods of solving quadratic equation is factorization and completing the square methods.

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Answer:

eh width = 103.5 inches

Step-by-step explanation:

x = width

Length = (x/2 - 5 )*6

so 384=x+3x-30

414=4x

x=414/4=103.5 inches

47.17 feet is the height of the building.

We can use the Pythagorean theorem to solve the problem:

Let h be the height of the building.

Then we have a right triangle with legs 20 and h, and a hypotenuse 50.

Using the Pythagorean theorem, we have:

\(50^2 = 20^2 + h^2\)

Simplifying and solving for h, we get:

\(h = \sqrt{(50^2 - 20^2)\)

h ≈ 47.17 feet (rounded to two decimal places)

Therefore, the height of the building is approximately 47.17 feet.

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