The trapezoids are similar. The area of the smaller trapezoid is 709 m2. Find the area of the larger trapezoid to the nearest whole number.

Final answer:

The plumber charges $35 per hour, calculated by dividing the change in total cost ($105) by the change in hours (3).

Explanation:

To find the rate of change in dollars per hour for the plumber's charges, we need to use the definition of rate of change, which is the change in cost divided by the change in time.

Here are the steps for calculation:

This means the plumber charges $35 per hour for their service.

We conclude that the parent function f(x) = √x has been shifted 1 unit to the left and 5 units downwards.

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

For a function f(x), a horizontal translation of N units is written as:

g(x) = f(x) + N

Here we have f(x) = √x, and g(x) = √(x + 1) - 5

Then:

g(x) = f(x + 1) - 5

From this, we conclude that the parent function f(x) = √x has been shifted 1 unit to the left and 5 units downwards.

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Answer:

Your answer

Step-by-step explanation:

Answer:140.4 is your answer!

Step-by-step explanation:hope this helped you!have an amazing rest of your night,afternoon or day!

Answer:

Part A:

Mean: 129.8

Median: 131.5

Step-by-step explanation:

The mean is the average so we add everything together and then divide it by however many numbers there are. 132 + 141 + 110 + 96 + 154 + 135 + 111 + 139 + 102 + 135 + 133 + 127 + 99 + 124 + 129 + 201 + 131 + 128 + 134 + 135 = 129.8

The median is the number in the middle. That is the number in between the rest from smallest to largest. 96, 99, 102, 110, 111, 124, 127, 128, 129, 131, 132, 133, 134, 135, 135, 135, 139, 141, 154, and 201

The medians are 131 and 132 so we add them together then divide by 2. That gives is 131.5 so that is our answer. I hope this helps and please mark me brainliest!

Answer:

5 cm

Step-by-step explanation:

Given the function:

[tex]m(x)=-(x-5)^{2} +25[/tex]

As we know the above function is a quadratic equation (vertical parabola) open downward and the vertex is the maximum number of mosquitoes.

The vertex form of a quadratic function is:

[tex]y=a(x-h)^{2} +k[/tex] where (h,k) is the vertex

Our given function have the vertex form as well, so the

(h,k) = (5,25)

At the height of 5 cm the rainfall will produce the maximum number of mosquitoes

Final answer:

In the function modeling the number of mosquitoes by rainfall, 5 centimeters of rainfall will produce the maximum number of mosquitoes, corresponding to the vertex of the parabola.

Explanation:

To find the number of centimeters of rainfall that will produce the maximum number of mosquitoes in Minneapolis, Minnesota, we look at the vertex of the parabolic function m(x) = -(x - 5)2 + 25. The vertex form of a parabola is given by f(x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. In this equation, h represents the x-value that results in the maximum y-value for the parabola when a is negative, which corresponds to the maximum number of mosquitoes.

In this case, the vertex of the parabola is (5, 25), which tells us that 5 centimeters of rainfall will produce the maximum number, which is 25 million mosquitoes. This value is represented by h in the vertex form of the equation, indicating that the parabola opens downwards (since the coefficient of the (x - h)2 term is negative) and reaches its maximum at x = 5.

Answer:

16

Step-by-step explanation:

This question can be modeled using the equation 3x+4=52 (x is the purple marbles). To solve this equation subtract 4 from both sides, making it 3x=48. divide both by three showing x=16. This shows that 16 is the answer.

Answer:

40

Step-by-step explanation:

P= purple marbles

Y= yellow marbles

P+y=52

P=3y+4

Anyways. I got it wrong and the website says 40.

Answer:

divide both sides of the inequality by -2 and flip the inequality sign the you get (x < 3)

To solve the inequality -2x > -6, divide both sides by -2, remembering to reverse the inequality sign, to obtain x < 3 as the solution.

To solve the inequality -2x > -6, we start by isolating the variable x. To do this, we divide both sides of the inequality by -2. It's important to remember that when we divide or multiply both sides of an inequality by a negative number, we must reverse the direction of the inequality sign. Thus, dividing by -2, the inequality becomes x < 6/2. Simplifying further, we find that x < 3.

Others parts of the referenced information discuss concepts like absolute values, z-scores, and transitivity of numbers but are not directly relevant to solving this inequality.

Hence, the correct answer to the inequality is x < 3.

Answer: the first one

Step-by-step explanation: can i have brainlieist

Answer:

100 x 0.85 = 85

100 x 0.85 = 85

85 x 2 = 170

170/85=2 so divide 100 by 2  = 50

50 x 0.85 = 42.5

50 x 0.85 = 42.5

42.5 + 42.5 = 85

Your answer is 500 hope this helps.

Step-by-step explanation:

Answer:

less

Step-by-step explanation:

Answer:

$890,600

Step-by-step explanation:

Answer:

They say you should save 10%

So if you calculate her yearly income

3420 x 26 pay periods per year = 88,920

Multiply it by 10

$889,200

Step-by-step explanation:

Answer: If a shape has 4 congruent sides, then it is a rhombus.

Step-by-step explanation: I just added the words in the appropriate places.

Answer:

240 cartons

Step-by-step explanation:

First, I need to find the volume of the 2 objects.

If the measurements of the carton is 1 x 1 x 1, ultimately the volume of the carton is 1 cubic foot.

Then, to find the shipping crate volume, multiply 5 x 12 x 4. You will get 240 cubic feet.

Then, we need to find how many cartons can fit in the shipping crate. Divide 240 by 1, and obviously you get 240.

So, 240 cartons can be packed into the shipping crate.

Answer:

D. 4x + 32; E. 4(x + 8)

Step-by-step explanation:

The correct answer is none. This problem is incorrect. The perimeter of a polygon is the sum of the lengths of all the sides. A perimeter is a length, not an area. A perimeter is expressed in feet, not square feet.

Ignoring the "square feet" part, once again, the perimeter is the sum of the lengths of all sides. Since this is a square, all sides have the same length, and there are 4 sides.

perimeter = 4s

perimeter = 4(x + 8) = 4x + 32

Answer:

Olani???

Why are you here?

(East harlem scholars academy teacher)

Step-by-step explanation:

The average rainfall in December is 4.15 inches. Therefore option C is the answer.

Given that,  in Pensacola, Florida, the average rainfall in the month of July is 7.40 inches. By  October, the average rainfall decreases by  35%. By December, the average rainfall drops another 0.66 inches.

We need to find the average rainfall, in inches, in  December.

The term "average annual rainfall" refers to the sum of the yearly precipitation totals for a location during a year as determined by the nearest National Weather Service station over the three decades prior.

In July, rainfall was 7.40 inches. By  October, the average rainfall decreases by  35%.

That is, 7.40-35% of 7.40

=7.40-0.35 × 7.40

=7.40-2.59=4.81

By December, the average rainfall drops another 0.66 inches.

That is, 4.81-0.66=4.15

The average rainfall in December is 4.15 inches. Therefore option C is the answer.

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Your question is incomplete, probably the complete question/missing part is:

In Pensacola, Florida, the average rainfall

in the month of July is 7.40 inches. By

October, the average rainfall decreases by

35%. By December, the average rainfall

drops another 0.66 inches.

What is the average rainfall, in inches, in

December?

A. 1.64

B. 1.93

C. 4.15

D. 4.81​

Answer:

Take a look below;

Step-by-step explanation:

See attachment;

Answer:

a = -14

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, divide 5 from both sides:

(5(a + 3))/5 = = (-55)/5

a + 3 = -55/5

a + 3  = -11

Next, fully isolate a by subtracting 3 from both sides:

a + 3 (-3) = -11 (-3)

a = -11 - 3

a = -14

a = -14 is your answer.

~

Final Answer:

In-depth explanation:

Hi! The question is asking us to solve the equation, which is:

[tex]\large\textbf{5(a + 3) = -55}[/tex]

Use the distributive property to simplify the left-hand side:

[tex]\large\textbf{5a + 15 = -55}[/tex]

Subtract 15 from each side:

[tex]\large\textbf{5a = -55 - 15}[/tex]

[tex]\large\textbf{5a = -70}[/tex]

Divide each side by 5:

[tex]\large\textbf{a = -14}[/tex]

[tex]\rule{350}{1}[/tex]

Answer:

-8

Step-by-step explanation:

Final answer:

Upon checking both inequalities, the point (1, 7) satisfies y < x + 8 and y ≤ 6x + 1. Thus, (1, 7) is a solution to the system of inequalities.

Explanation:

To determine if the point (1, 7) is a solution to the given system of inequalities, we need to check if the point satisfies both inequalities. The system is:

y < x + 8

y ≤ 6x + 1

For the first inequality:

y < x + 8

7 < 1 + 8

7 < 9 ⇒ True

For the second inequality:

y ≤ 6x + 1

7 ≤ 6(1) + 1

7 ≤ 7 ⇒ True

Since the point (1, 7) satisfies both inequalities, it is indeed a solution to the system.

Answer:

I Believe its A

Step-by-step explanation:

IM so sorry if its wrong!!!!

but im pretty sure its right

Answer:

Henry = 12 hours        

Robert = 10 hours

that 2 people

so 12/ divided by how many people

and 10/ divided by how many people

so 12/2

and 10/2

= 5 and 6

then find the (median) middle of both numbers one or more  

which is 5 1/2

so they can finish working together in 5 1/2 hours

Answer:

a = 4

b = 4

c = -1

d = 4

e = -1

f = 4

g = -1

Step-by-step explanation:

To get the expected value equation you have to multiplicate the probability of each outcome by its reward and add them. The probability to get each color is 1/4 because the spinner has four equal-sized sections. If you win money, your reward is positive, but if you lost it, your reward is negative. Then:

expected value equation. E (V) = (1/4)*2 + (1/4)*(-1) + (1/4)*(-1) + (1/4)*(-1) = -0.25

Answer:

A 4

B 4

C -1

D 4

E -1

F 4

G -1

-0.25 points

lose 250 points

Answer:[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

Jar contains 15 Green and

15 Purple marbles

Total marble[tex]=15+15=30[/tex]

Probability of Picking a Purple marble is

[tex]P=\frac{\text{No of Purple marble}}{\text{Total no of marble}}[/tex]

[tex]P=\frac{15}{30}[/tex]

[tex]P=\frac{1}{2}=0.5[/tex]

Therefore probability of picking a marble is [tex]0.5[/tex]

Answer:

pretty sure it would be 11 inches

Step-by-step explanation:

the rules of isosceles triangles is that two sides are the same and one is smaller.

Answer:

the missing side is 11 inches

Step-by-step explanation:

the missing angel is 37*

Answer:

f'(9) = 6

Step-by-step explanation:

f(x) = 6x+7

The derivative is

f'(x) = 6

Evaluated at  x=9

f'(9) = 6

Answer:

6

Step-by-step explanation:

f(x) = 6x + 9

f'(x) = 6 at every point

Answer:

1/6

Step-by-step explanation:

1/2 (The probability that its tails) x 1/3(The probability that it lands on a green side)

Answer:

They can be positive.

They can be zero.

They can be negative.

They can be absolute value.

Step-by-step explanation:

A number is an abstract entity used to describe quantity.

Zero, one, -1, 2.5, pi are all numbers.

The number is a member of one of the several classes: natural numbers, integers, rational numbers, real numbers, complex numbers, quaternions.

A number can't be both negative and positive.

The options 1, 2, 3, and 5 are correct.

A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.

As per the given data:

We are given some properties of numbers in the options, and we have to find which among the following options are true.

They can be positive.

This is correct, as numbers can be positive

They can be zero.

This is correct, as a number can be zero.

They can be negative.

This is correct, as numbers can be negative.

They can be both positive and negative.

This is incorrect, as numbers can't be both positive and negative.

They can be absolute value.

This is correct, as numbers can have an absolute value.

Hence, the options 1, 2, 3, and 5 are correct.

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Answer:

b

Step-by-step explanation:

A coordinate grid with 2 lines. The first line passes through (negative 4, negative 3), (0, negative 3), and (4, negative 3). The second line passes through (0, negative 5) and (2, 4). The lines appear to intersect at about one-half, negative 3.

Solve the system of equations algebraically. Verify your answer using the graph.

y = 4x – 5

y = –3

What is the solution to the system of equations?

((StartFraction one-fourth EndFraction, negative 3), –3)

((StartFraction one-half EndFraction, negative 3), –3)

(–3, (negative 3, StartFraction 2 over 3 EndFraction))

The solution to the system of equations is (-2, 4).

The correct option is A.

We have,

y= 4

and, y= 3 - 1/2 x

To find the solution of Equation put y= 4 in equation 2 we get

4 = 3 - 1/2 x

4 - 3 = -1/2 x

1 = -1/2 x

x = -2

Thus, (-2, 4) is solution of Equation.

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20% percentage increase in prices from $25 to $30.

To calculate the percentage increase:

Calculate the increase in price: $30 - $25 = $5

Calculate the percent increase: ($5 / $25) x 100% = 20%

Therefore, Ben increased his prices by 20%.

The inequality fir the given phrase is x+14≥18, the solution for the obtained inequality is x≥4.

The given phrase is "The sum of a number and 14 is at least 18".

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the unknown number be x.

Here, the inequality is x+14≥18

Subtract 14 on both the sides of an inequality, we get

x+14-14≥18-14

x≥4

Therefore, the inequality fir the given phrase is x+14≥18, the solution for the obtained inequality is x≥4.

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Final answer:

The sum of a number and 14 is at least 18' can be expressed as the inequality x + 14 >= 18, indicating that the unknown number must be 4 or greater.

Explanation:

The student's question involves setting up an inequality to represent the situation described.

The problem statement, 'The sum of a number and 14 is at least 18,' translates to a mathematical inequality as follows:

Let 'x' represent the unknown number.

The problem states that when you add 14 to this number, the result should be at least 18. Therefore, the inequality would be:

x + 14 >= 18.

To solve this inequality, you would subtract 14 from both sides:

x = 18 - 14

x = 4

This means the unknown number must be 4 or any larger number. In other words, any number greater than or equal to 4, when added to 14, will be at least 18.