A club collected $3,472 to buy computers. if each computer costs $680, estimate the number of computers that the club can buy explan
This is how I need to answer it:

Step-by-step explanation:

because it is an isoceles triangle (both legs are equally long), E and F are the side angles in the baseline.

and because both leg sides are equally long, also both side angles must be equally large

therefore,

angle E = angle F = 55°.

The area of the given figure is 68.6

From the question, we are to determine the area of the given figure.

Area of the given figure = Area of the semicircle + Area of the rectangle + Area of the semicircle

Area of a semicircle = 1/2πr²

Where r is the radius

Area of a rectangle = Length × Width

From the given diagram,

The diameter of the semicircle is 4

Thus,

Radius, r = 4/2 =

r = 2

Length of the rectangle is 14

and the width of the rectangle is 4

Therefore,

Area of the figure = 1/2π(2)² + 14 × 4 + 1/2π(2)²

Area of the figure = 1/2π×4 + 14 × 4 + 1/2π×4

Area of the figure = 2π + 56+ 2π

Area of the figure = 4π + 56

Area of the figure = 68.566

Area of the figure ≈ 68.6

Hence, the area is 68.6

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Answer:

57 years old

Step-by-step explanation:

Bob=31

Mark= 31 x 2 - 5

31 x 2= 62

62- 5 = 57

Mark is 57 years old

Answer:

Mark is 18

Step-by-step explanation:

The possible lengths of the side x + 30 are given as follows:

199.5 - x ≤ x + 30 ≤ 399 - x.

The perimeter of a rectangle of base b and height h is given by the equation presented as follows:

P = 2(b + h).

The dimensions in the triangle in this problem are given as follows:

The budget allows for at least 399 feet of fencing, hence:

2(x + x + 30) ≥ 399

x + x + 30 ≥ 199.5.

x + 30 ≥ 199.5 - x.

The budget allows for no more than 798 feet to be used, hence:

2(x + x + 30) ≤ 798

x + x + 30 ≤ 399

x + 30 ≤ 399 - x.

Then the range of values that can be assumed by the side with dimensions x + 30 is given as follows:

199.5 - x ≤ x + 30 ≤ 399 - x.

The park has a rectangular format, with dimensions x and x + 30.

It asks for the possible lengths of the side with dimensions x + 30.

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Answer and Step-by-step explanation: I used demos and got (6,0) as my answer.

Yes, Ted’s conclusion is reasonable.

Setting the two equations equal and solving for t will solve for the time when the two pools are at the same depth.

Option A is the correct answer.

An equation is a mathematical statement made up of two expressions connected by an equal sign.

We have,

d = 5 - (1/4)t ____(1)

d = 7 - (1/3)t ____(2)

Now,

The time at which the depth d is the same.

Make (1) and (2) equal.

5 - (1/4)t = 7 - (1/3)t

(1/3)t - (1/4)t = 7 - 5

(4t - 3t)/12 = 2

t = 2 x 12

t = 24

Thus,

Yes, Ted’s conclusion is reasonable.

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Answer:

5/6

Step-by-step explanation:

he class ate 3/41 = <<3/41=3/4>>3/4 of one pan of plain brownies

They also ate 1/61 = <<1/61=1/6>>1/6 of another pan of plain brownies

The total amount of plain brownies they ate is 3/4 + 1/6 = <<3/4+1/6=5/6>>5/6

The class ate 5/61 = <<5/61=5/6>>5/6 of one pan of brownies with sprinkles

They also ate 1/101 = <<1/101=1/10>>1/10 of another pan of brownies with sprinkles

The total amount of brownies with sprinkles they ate is 5/6 + 1/10 = 5/6 + 1/10 = 41/60

The class ate more plain brownies because 5/6 > 41/60. Answer: {5/6}.

Answer:A

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sqrt{2x+1} = -4 -1[/tex]

[tex]\sqrt{2x-1} = -5[/tex]

the number under a square root is always 0 or a positive number, so it can’t be equal to a negative number

Answer:

MAY BE IT'S HELP UHHH=^._.^

Answer:

The answer to the expression 3(6x-4y)-5 is 18x - 12y - 5. This is the result of following the order of operations and performing the necessary operations in the correct sequence.

Step-by-step explanation:

To solve this problem, you need to follow the order of operations, which is a set of rules that dictate the sequence in which operations should be performed in a mathematical expression to get the correct result. The order of operations is often abbreviated using the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

According to the order of operations, the first step in solving this problem is to evaluate anything inside parentheses. In this case, there are no parentheses, so we can move on to the next step, which is to evaluate any exponents. Again, there are no exponents in this expression, so we can move on to the next step, which is to perform any multiplication or division.

In this case, there is a multiplication operation: 3 * (6x - 4y). So we need to evaluate this first. To do that, we need to multiply 3 by each of the terms inside the parentheses: 3 * 6x and 3 * -4y. This gives us 18x - 12y.

Now that we have performed all of the multiplication and division operations, we can move on to the final step, which is to perform any remaining addition or subtraction operations. In this case, there is only one subtraction operation: 18x - 12y - 5. So we need to subtract 5 from 18x - 12y to get our final answer: 18x - 12y - 5 = 18x - 12y - 5.

Therefore, the result of evaluating the expression 3(6x-4y)-5 is 18x - 12y - 5. I hope this helps! Let me know if you have any other questions.

Answer:

x = 2

<1 = 28

Step-by-step explanation:

The two angles equal each other.

4x + 20 = 5x + 18  Subtract 4x from both sides

20 = x + 18  Subtract 18 from both sides

2 = x

4x + 20

4(2) + 20

8 + 20

28

Answer:

4%

Step-by-step explanation:

2/50= 4/100
4/100= 0.04 or 4%

The amount of each payment is $699.

What is payment?

Payment refers to the exchange of something of value as a condition of a contract. While one party pays money and receives something else of value, the other party gets paid in return for delivering a good or service. Physical currency was once the most common form of payment, but nowadays most forms of payment use technology.

Given: Buy 2 personal watercrafts for $3,495 each.

So, the price for 2 watercrafts is, 2 x $3495 = $6990

They make 10 equal payments for the watercrafts.

So each payment is of $6990/10 = $699.

Hence, the amount of each payment is $699.

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Among any group of d+1 integers there are two with exactly the same remainder when divided by d.

Positive integers are those bigger than 0 that don't contain any fractional portions. On the number line, these figures are located to the right of 0.

Since it is neither positive nor negative, 0 is not a positive integer. Positive integers are defined as numbers greater than 0 in mathematics.

The possible remainders after dividing an integer by d are 0, 1, 2,..., d-1.

The number of remainders that can be obtained is d, or |0, 1, 2,..., d-1|=d0,1,2,...,d-1=d.

According to the Pigeonhole Theory:

objects are the number of integers in d+1.

"holes" = "remainders" + "d"

[d+1/d]=2

According to the Pigeonhole Principle, there are always two d+1 integers in every group that have precisely the same residual after being divided by d.

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There are always two d+1 numbers in any group that have the exact same residual after division.

An integer, pronounced "IN-tuh-jer," is an entire number which can be positive, minus, even zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, among 3,043. 1.43, 1 3/4, 3.14, and other values which aren't integers seem to be some examples.

The potential remainders after dividing an integer by d are 0, 1, 2,..., d-1.

The possible number of remainders is d, or I{0,1,2,.......d-1}I = d

By the Pigeonhole Principle:

Objects = umber of integers = d+1

Holes = number of remainders = d

[tex]\frac{d+1}{d} = 2[/tex]

According to the Pigeonhole Principle, there are always two d+1 numbers in every group that have precisely the same residual after being divided by d.

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In a triangle, The value of ''h'' will be;

⇒ h = 2.7 m

What is mean by proportion?

A proportion is a fraction of a total amount, in which two ratios are set equal to each other.

Given that;

The triangle is right triangle.

The values are,

AB = 6 m

BD = 12 m

BC = 0.9 m

DE = h m

Now,

Since, The triangle is right triangle.

Hence, By using definition of proportional we get;

⇒ AB / BC = AD / ED

Substitute all the values, we get;

⇒ 6/0.9 = (6 + 12) / h

⇒ 6 / 0.9 = 18 / h

⇒ h = 18 × 0.9 / 6

⇒ h = 2.7 m

Thus, The value of h = 2.7 m

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Answer:

Step-by-step explanation:

2, i would eat there sometimes!

Answer:

3. I would eat there rarely.

Step-by-step explanation:

Please give brainliest!!!

Answer: 52

Step-by-step explanation:

    To find the range of a data set, we subtract the smallest value from the largest value.

54 - 2 = 52

1. The z-scores are given as follows:

Due to the lower z-score, Joe had a better time.

2. The actual score is of 40.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Considering the mean and the standard deviation for his distribution, and also that 15 seconds = 0.25 minutes, the z-score for Joe is obtained as follows:

Z = (19.75 - 22.5)/4

Z = -0.6875.

For Sara, the z-score is calculated as follows:

Z = (28.33 - 31.25)/6

Z = -0.49.

Joe had a better time, as his lower z-score means that a lower percentage of runners spent less time than him, that is, a lower percentage of runners ran faster than him.

For item 2, the actual score is calculated as follows:

-2 = (X - 50)/5

X - 50 = -10

X = 40.

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Answer: The equation for simple interest is:

Future interest = Principal*(interest rate*number of years). Remember to write the interest rate of 1.25% as 0.0125 (rather than directly as 1.25)

812.50 = x(0.0125*20)

812.5 = x(0.25)

x = $3250

This means that Samson deposited $3250 when he opened the account.

Step-by-step explanation:

Answer:

Given that,

We know that

Work = Force × distance

So, the force = work ÷ distance

= 28 ÷ 4

Therefore we can conclude that the force that he used is 7 newtons.

The polynomial y = (4 / 3) · x³ + (16 / 3) · x² + (4 / 3) · x - 8 is the cubic equation whose zeros are x₁ = -3, x₂ = - 2, x₃ = 1 and intercept is - 8.

Herein we must derive a cubic equation such that the zeros are x₁ = -3, x₂ = - 2, x₃ = 1 and its intercept is - 8. Cubic equations are polynomials of the form y = a · x³ + b · x² + c · x + d, where a, b, c, d are real coefficients.

If we know that (x₁, y₁) = (- 3, 0), (x₂, y₂) = (- 2, 0), (x₃, y₃) = (1, 0) and (x₄, y₄) = (0, - 8), then we solve the following system of linear equations to determine all real coeffcients by numerical methods:

- 27 · a + 9 · b - 3 · c + d = 0

- 8 · a + 4 · b - 2 · c + d = 0

a + b + c + d = 0

d = - 8

(a, b, c, d) = (4 / 3, 16 / 3, 4 / 3, - 8)

The cubic equation is y = (4 / 3) · x³ + (16 / 3) · x² + (4 / 3) · x - 8.

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Answer:

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

The volume will remain constant if both input and output cross - sections are equal:

Answer:

-3

Step-by-step explanation:

A (0,2)

B (2,-4)

slope = (-4-2)/(2-0)

-6/2

-3

a parallel line has the same slope

Answer: 16/45 of the spool

Step-by-step explanation:

2/5 of 8/9

2/5 * 8/9 = 16/45 (multiply numerators, and multiply denominators)

Cannot be further simplified.

Answer:

18/45

Step-by-step explanation:

Multiply both denominators to get a common denominator, in this case, it would be 45.

(8/9)*5=40/45

(2/5)*9=18/45

Answer:

False

Step-by-step explanation:

Assuming monthly payments

  12 payments per year   X   10 years = 120 payments

Answer:

The missing term in the output of the function [tex]g(f(x))[/tex] is -18.

[tex]g(f(x))=10x^2-18[/tex]

Step-by-step explanation:

In mathematics, function composition is a term that encompasses a relationship between two functions wherein the output of one function is used as the input for another function. This relationship combines two functions to form a single function, known as a composite function. For future reference, function composition may also be denoted by a small circle, see below:

[tex](g\circ f)(x)=g(f(x))[/tex]

In the given problem, we must evaluate the composite function [tex]g(f(x))[/tex] / [tex](g\circ f)(x)[/tex] to identify the unknown term.

With composite functions, we begin evaluating from the inside. To evaluate [tex]g(f(x))[/tex], we must substitute the output of the function [tex]f(x)[/tex] (given as the expression [tex]2x^2-5[/tex]) as the input ([tex]x[/tex]) for the function [tex]g(x)[/tex]:

[tex]g(f(x))=g(2x^2-5)[/tex]

Now, using [tex]f(x)[/tex] as the input ([tex]x[/tex]) for the function [tex]g(x)[/tex] (given as the expression [tex]5x+7[/tex]), we can substitute [tex]2x^2-5[/tex] into the output for the function [tex]g(x)[/tex]:

[tex]g(f(x))= 5(2x^2-5)+7[/tex]

From here, we can go ahead and distribute the 5:

[tex]g(f(x))=10x^2-25+7[/tex]

Combine like terms:

[tex]g(f(x))=10x^2-18[/tex]

With the composite function evaluated, we can identify our missing term as [tex]-18[/tex].

The integral of f (z) around the positively oriented circle |z|

[tex]\int\limits^_ {} \,[/tex]f(z) dz = -8πi/3

In mathematics, an integral lends numerical values to functions to represent notions like volume, area, and displacement that result from combining infinitesimally small amounts of data. Integration is the action of locating integrals.

With the exception of the point where z = z, where f(z) is analytic within and on C, let C be the smooth, simple closed curve except at z =z , then ,

[tex]\int\limits^_ {} \,[/tex] f(z) dz = 2πi [ res f(z)] z = [tex]z_{1}[/tex]

here f(z) is singular at z = -1,

res  [tex]f(z)_{z = -1}[/tex] = [tex]\lim_{z\to \-1} z+1 f(z)_[/tex]

[tex]\lim_{z\to \-1}[/tex] [tex]z^{3}[/tex](1-3z)/(1+2[tex]z^{4}[/tex])

when z = -1 then f(z) = -4/3

Therefore [tex]\int\limits^_ {} \,[/tex]f(z) dz = 2πi (-4/3)

[tex]\int\limits^_ {} \,[/tex]f(z) dz = -8πi/3.

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