Russell randomly surveys seventh graders in his schools and finds 6 of 30 attend summer camp. if there are 200 seventh graders in his school, about how many are expected to attend summer camp.

The third side of a triangle can be found using the Pythagorean Theorem.

This states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side (the hypotenuse).

Let's say you have a triangle with sides a, b, and c, where c is the longest side. To find c, you can use the following formula:

c = √(a2 + b2)

For example, if you have a triangle with sides a = 4 and b = 5, then c = √(42 + 52) = √41 = 6.4. Therefore, the third side of the triangle is 6.4.

To calculate this using steps, you would first square the two shorter sides of the triangle:

a2 = 4 x 4 = 16

b2 = 5 x 5 = 25

Then, add the two squares together:

16 + 25 = 41

Finally, take the square root of the sum to find the length of the third side:

√41 = 6.4

Therefore, the third side of the triangle is 6.4.

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Here the point 3 can be taken as (3,0) or (0, 3) ; For first, move right 3 units along the x-axis. No vertical component is there , as the y-coordinate is 0 here; For second, move 3 units along the y-axis. Since the x-coordinate is 0, there is no horizontal component.

A point is marked in a coordinate plane using its coordinates when it is plotted in a coordinate system.

The intersection of the x-axis, a horizontal number line, and the y-axis, a vertical number line, creates a 2D coordinate plane.

At the coordinate plane's origin, where the two axes (plural for axis) intersect, four right angles are formed. On a coordinate plane, a grid is frequently drawn to make it simpler to plot points.

In a 2D coordinate plane, a point's location is represented by an ordered pair of numbers (x, y). An ordered pair of numbers is used to represent the location of a point in a 2D coordinate plane (x, y). The first number in the pair represents the point's location along the x-axis, and the second number represents its location vertically (y-axis).

Count x squares from the origin along the x-axis, then count y squares in the direction of the y-axis to plot the point (x, y) in the coordinate plane.

Here the point 3 can be taken as (3,0) or (0, 3) ; For first, move right 3 units along the x-axis. No vertical component is there , as the y-coordinate is 0 here; For second, move 3 units along the y-axis. Since the x-coordinate is 0, there is no horizontal component.

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Answer:

6

Step-by-step explanation:

Divide 3 on both sides

3x/3 > 18/3

x > 6

Answer:

y = -1/2x + 7/2  

Step-by-step explanation:

Answer:

[tex]\frac{2t-4}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex][tex](t-2)\\[/tex]
=> [tex](\frac{2}{3} * t ) + (\frac{2}{3} * -2)[/tex]
=> [tex]\frac{2t}{3} + (-\frac{4}{3})[/tex]
=> [tex]\frac{2t-4}{3}[/tex]

Hope you understood!!

Answer:the image is not noticeable

Step-by-step explanation:

If their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.

The term taxable income refers to any gross income earned that is used to calculate the amount of tax you owe. Put simply, it is your adjusted gross income less any deductions. This includes any wages, tips, salaries, and bonuses from employers.

The minimum income amount depends on your filing status and age. In 2022, for example, the minimum for single filing status if under age 65 is $12,950. If your income is below that threshold, you generally do not need to file a federal tax return. Review the full list below for other filing statuses and ages.

Taxable income

a. Taxable income:

Taxable income=Gross income - Total taxes due

Taxable income=$63,000-$6,847.50

Taxable income=$56,152.5

b. The marginal tax rate for taxable income  under the income bracket of of $40,526 to $86,375 is 22%.

c. Effective tax rate:

Effective tax rate = Total taxes due/ Taxable income×100

Effective tax rate =$6,847.50/$56,152.5×100

Effective tax rate =10.869%

Effective tax rate =10.87% (Approximately)

Inconclusion if their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.

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Answer:

x = - 1 or x = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

to find the zeros let f(x) = 0 , that is

3x² + 5x + 2 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × 2 = 6 and sum = + 5

the factors are 3 and 2

use these factors to split the x- term

3x² + 3x + 2x + 2 = 0 ( factor the first/second and third/fourth terms )

3x(x + 1) + 2(x + 1) = 0 ← factor out (x + 1) from each term

(x + 1)(3x + 2) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - [tex]\frac{2}{3}[/tex]

The degree of a constant polynomial (such as 7) is zero.

The variable's highest power in a polynomial expression is the polynomial's degree.

A polynomial is a mathematical expression made up of more than two algebraic terms, particularly the sum (or difference) of several terms that each contain a different power of a single or several variables (s).

It is a monomial combination that is linear. Since the polynomial can be conceived of as 7x0, the degree of a constant polynomial (such as 7) is zero.

Normally, the degree of the zero polynomial (zero) is regarded as being undefinable.

A polynomial function with a degree of 7 is known as a septic function (also known as a 7th degree polynomial). 

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Check the picture below.

Step-by-step explanation:

Answer: x = 10

Step-by-step explanation:

1. To find x, you need x to be by itself and the only way for it be like that in this situation is by dividing both sides by 7.

2.  7 divided by 7 cancels out and 70 divided by 7 = 10. This means x = 10.

Answer:

10

Step-by-step explanation:

since we have 7x=70

the multiply goes and becomes divide we get 70/7

and by dividing it we get the ans 10

Answer:

Ok his his his his his his his his his his his his his his his his

Answer:

C

Step-by-step explanation:

Geometrically: if we set a circle at the point of origin and it's radius is one of the points (I used L), then we simple rotate the point 180 degrees around the circle and discover our new coordinate.

doing this for all three points yields C.

Answer:

L (−4, −5)

M (0, −2)

N (2, 4)

Step-by-step explanation:

The rule for this particular rotation is: (x, y)→(−x, −y).

To visualize why this is the case, the rotation can also be seen as the 180°clockwise rotation of the x- and y- axes about the origin while the figure remains in place. This rotation changes all x distances into x distances of the opposite sign, and all y distances into y distances of the opposite sign.

Apply the rule to each of the vertices of the triangle.

L(4, 5) → L'(−4, −5)

M (0, 2) → M' (0, −2)

N (−2, −4) → N' (2, 4)

Therefore, the coordinates of the vertices of the rotated triangle are

L' (−4, −5)

M' (0, −2)

N' (2, 4)

Answer:

Step-by-step explanation:

count by doubling from 2.... ten times,  use your fingers to keep track

2,4,8,16,32,64,128,256,512,1024  

add these up

2046

The domain of a composite function is the set of all possible inputs for both functions, and the range is the set of all possible outputs.

A composite function is the combination of two or more functions. The domain of a composite function is the set of all possible inputs for both functions. This means that the domain is the set of all the possible inputs that can be used in either of the functions that make up the composite function. The range of a composite function is the set of all possible outputs. This means that the range is the set of all the possible outputs that can be obtained by the combination of the two or more functions. When graphing a composite function, it is important to remember that the domain and range of the composite function are the union of the domain and range of the individual functions in the composite function. The domain and range of a composite function can be determined by first determining the domains and ranges of the individual functions and then combining them.

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Answer:

SSS

Step:

I think it might be this not very sure

Answer:

ASA

Step-by-step explanation:

A and C are congruent (angle) and then ad and dc are also (side) and they both have a right angle 90 (angle)

A statement which best describes the solution set of the given inequality 5n + 1.5 ≥ 4 is: C. all rational number values of n that are at least 0.5.

In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 12, 0.5, √16, etc.

Next, we would translate the word problem into algebraic inequality and then solve for the value of n as follows;

5n + 1.5 ≥ 4

Subtracting 1.5 from both sides of the algebraic inequality, we have:

5n + 1.5 - 1.5 ≥ 4 - 1.5

5n ≥ 2.5

Dividing both sides of the algebraic inequality y 5, we have:

n ≥ 2.5/5

n ≥ 0.5

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Complete Question:

Grant reads as part of his homework each week. he must read for at least 4 hours each week as part of his homework. This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers, n, of hours he could read on each of the 5 weekdays this week. The graph is shown.

Which describes the solution set of the inequality?

A. all whole number values of n that are at least 1

B. all whole number values of n that are greater than 1

C. all rational number values of n that are at least 0.5

D. all rational number values of n that are greater than 0.5

Answer -2,3. 2,3 3,-3 -4 -3

Step-by-step explanation:

Answer:

Q (-2, 3)
R (2, 3)

S (3, -3)

T (-4, -3)

Step-by-step explanation:

Good luck kiddos :)

The point slope form is not okay to use to find the height of the trees

From the question, we have the following parameters that can be used in our computation:

The point slope form of a linear equation is represented as

y - y₁ = m(x - x₁)

Where

Slope = m

The point slope form does not show the initial value

So, this form is not okay for the required parameters

The slope-intercept form is given as

y = mx + c

Using the given parameters, we have

y = 3/4x + 3

Subtract 3 from both sides

y - 3 = 3/4x

Rewrite as

y - 3 = 3/4(x - 0)

This equation can be rewritten in any of the following forms

Hence, the incorrect equation is y - 15= 3/4(x-15)

We have the slope-intercept form to be

y = 3/4x + 3

Set x = 1 and 2, and then solve for y

So, we have

y = 3/4 * 1 + 3 = 3.75

y = 3/4 * 2 + 3 = 4.5

So, the equivalent equations are

y - 3.75 = 3/4(x - 1) and y - 4.5 = 3/4(x - 2)

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Answer:

1/10, 0.14, 16%, 0.9

Step-by-step explanation:

Convert each number to either fraction, decimal, or percent.

1/10 10/100 0.1 10%

      14/100 0.14 14%

      16/100 0.16 16%

      90/100 0.9 90%

Answer:

1/10 < 0.14 < 16% < 0.9​

Step-by-step explanation:

16% = 0.16

1/10 = 0.10

0.9 = 0.90

0.10 < 0.14 < 0.16 < 0.90 = 1/10 < 0.14 < 16% < 0.9​

Answer:

Perimeter = 78.7 inches

Step-by-step explanation:

From the given question, applying the Pythagoras theorem to one of the congruent triangles formed, we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj 1/^{2}[/tex] + [tex]/adj 2/^{2}[/tex]

          = [tex](29)^{2}[/tex] + [tex](9)^{2}[/tex]

          =841 + 81

[tex]/hyp/^{2}[/tex] = 922

hyp = [tex]\sqrt{922}[/tex]

      = 30.3645

The perimeter of the triangle can be determined as;

perimeter = [tex]l_{1}[/tex] + [tex]l_{2}[/tex] + [tex]l_{3}[/tex]

                 = 30.3645 + 18 + 30.3645

                 = 78.729

The perimeter of the triangle = 78.7 inches

The x-coordinate of the centroid of the triangle ABC with vertices

A(-3, 3), B(2, 5), and C(4, -3) is 1.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

The centroid of a triangle is the common intersection point of all the medians of the triangle.

When vertices of a triangle is given the co-ordinate of the centroid are

(x₁ + x₂ + x₃)/3 and (y₁ + y₂ + y₃)/3.

Given, ΔABC has vertices A(-3, 3), B(2, 5), and C(4, -3).

Therefore, The x-coordinate of the centroid is,

Gₓ = (- 3 + 2 + 4)/3.

Gₓ = 3/3.

Gₓ = 1.

So, The x-coordinate of the centroid is 1.

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Answer:

A.48.99

48.992 two is less than five soo you leave it at that point and assume the 2.

If Shapera mowed 7 lawns and worked for 36 hours at pet store and delivered newspapers 7 days , then she earned $497 which is not enough to buy the computer .

the amount that she earns in mowing each lawn is = $15 ;

So , the amount earned for mowing 7 lawns is = [tex]15\times 7[/tex] = $105 ;

the amount that she earns per hour working at pet store is = $7 ;

So , amount earned for working 36  hours is = [tex]36\times 7[/tex] = $252 ;

the amount that she earns by delivering newspapers per day is = $20 ;

So , amount earned by delivering newspapers for 7 days =[tex]20\times7[/tex] = $140 ;

The total amount earned by Shapera is = [tex]\$ 105 + \$252+\$140[/tex]

On adding all the amount earned ,

we get ;

= $497 ;

The amount earned by Shapera is $497 .

Therefore , Shapera will not be able to buy the $499 computer as she is $2 less than the price .

The given question is incomplete , the complete question is

Shapera has three sources of income. She earns $15 for each lawn she mows. She earns $7 per hour working part-time at a pet store She earns $20 each day she delivers newspapers.

In the six weeks, Shapera mowed 7 lawns, worked 36 hours at the pet store, and delivered newspapers 7 days. Did she make enough to buy the $499 computer ?

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The information in a table shows that f(x) = 3(2)x  exponential function. An exponential function has the formula y = abx, wherein y and x are variables.

An exponential function is a mathematical function with the following formula: f (x) = 1 x. where an is a fixed sum that serves as the function's basis and x is a variable. The most frequent exponential-function base is the transcendent number e, or around 2.71828. Your function must be exponential if it has the equation y = a b x, or where are constant, a Zero and b > 0 and b 1. You always used functions to the power of 2 while solving quadratic equations. An exponential function's exponent is a variable.

Here,

given:

Using the table's (0, 3):

3 = ab° , a = 3

(2) and (12):

=>12 = ab²

=>12 = 3b²

=>b² = 4

=>b = 2

=>f(x) = 3(2)ˣ

The information in a table shows that the exponential function, f(x), equals 3(2)x.

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2(l+w) + 4a and 2l+2w + 2(2a) are two equivalent expressions which represent the total fencing material required to surround the playground and flower beds.

Mathematical expressions are a way of representing mathematical ideas, concepts, and operations using symbols and notation. They can take many forms, including numbers, variables, and operators. They can also be combined to create more complex expressions, equations, and formulas.

Explain:

The total fencing material required to surround the playground and flower beds would be the sum of the fencing material for the playground and the fencing material for the flower beds.

So, one possible expression for the total fencing material required to surround the playground and flower beds would be: 2(l+w) + 4a

Another possible expression for the total fencing material required to surround the playground and flower beds would be: 2l+2w + 2(2a)

Please note that these expressions are based on the information provided, and the actual total fencing material required will depend on the specific dimensions of the park and playground, and may differ from these expressions.

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