If Ef bisects CD, CG = 9x - 4, GD = 2x + 31, EF = 4x - 1, and GF = 7, find EG

The subject of the function is t = w - v

It should be noted that the function that's given is illustrated as:

w = uv + t

Subtract uv from both sides.

w - uv = uv + t - uv.

w - uv = t

Therefore, it can be seen that the subject of the function is t = w - v

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i believe this is correct hope it helps

n = 1 is a counterexample for both the given equations.

Here, we are given two equations, let us look at them one by one-

a. (n + 5) / 5 = n + 1

let us take n = 1

the, (1 + 5) / 5 = 1 + 1

6/ 5 = 2

This equation does not hold as 6/5 ≠ 2. Thus, n = 1 doesn't satisfy the given equation and hence is a counterexample.

b. (n + 4)² = n² + 4²

Let us take n = 1

(1 + 4)² = 1² + 4²

5² = 1 + 16

25 = 17

Again, this equation does not hold as 25 ≠ 17. Thus, n = 1 doesn't satisfy the given equation and hence is a counterexample.

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In decreasing size, the slopes of the linear functions are given as follows:

m4, m3, m2, m1.

A linear function is modeled by:

y = mx + b

In which:

Regarding the slope, we have that:

Hence, for the lines in this graph:

Then, we consider the intensity of growth/decay.

Thus the list is given by:

m4, m3, m2, m1.

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Answer: I hope this helps.

Step-by-step explanation:

The Density of the given plank with dimensions is; 33.82 kg/m³

We are given;

Length of plank = 2.3 meters

Width of plank = 30 cm = 0.3 m

Height of Plank = 3 cm = 0.03 m

Mass of plank = 0.7 kg

Now, formula for density = mass/volume

Volume of the plank is gotten from the formula;

Volume = Length * width * height

V = 2.3 * 0.3 * 0.03

V = 0.0207 m³

Thus;

Density = 0.7/ 0.0207

Density = 33.82 kg/m³

Thus, we can conclude that the Density of the given plank with dimensions is 33.82 kg/m³

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Answer:

Step-by-step explanation:

You want the number of nickels and dimes that make up $13.30 when there are 5 more nickels than dimes.

Let d represent the number of dimes. Then (d+5) is the number of nickels. The total value in cents is ...

  10d +5(d+5) = 1330

Simplifying the equation, we get ...

  15d +25 = 1330

  15d = 1305 . . . . . . . . subtract 25

  d = 87 . . . . . . . . . . . divide by 15

  (d+5) = 92 . . . . . . the number of nickels

[tex]\boxed{\text{There are 92 nickels and 87 dimes in the piggy bank.}}[/tex]

Answer:

21 hot dogs

9 pizza slices

Step-by-step explanation:

Given information:

Define the variables:

Create two equations from the given information:

[tex]\textsf{Equation 1}: \quad x + y = 30[/tex]

[tex]\textsf{Equation 2}: \quad 2.5x+3.25y=81.75[/tex]

Rewrite Equation 1 to make x the subject:

[tex]\implies x=30-y[/tex]

Substitute this into Equation 2 and solve for x:

[tex]\implies 2.5(30-y)+3.25y=81.75[/tex]

[tex]\implies 75-2.5y+3.25y=81.75[/tex]

[tex]\implies 75+0.75y=81.75[/tex]

[tex]\implies 0.75y=6.75[/tex]

[tex]\implies y=9[/tex]

Substitute the found value of y into the rewritten form of Equation 1 and solve for x:

[tex]\implies x=30-9[/tex]

[tex]\implies x=21[/tex]

Solution

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Answer:

Number of hot dogs purchased = 21

Number of pizza slices purchased = 9

Step-by-step explanation:

Let the number of people buying hot dogs be represented by the variable H and the number of people buying pizzas be represented by the variable P

Since H hot dogs were purchased and each hot dog costs $2.50, total amount spent on hot dog purchase = $2.50H

Since P slices of pizza were purchased and each slice of pizza costs $3,25,  total amount spent on hot dog purchase = $3,25P

Total amount spent (in $) = 2.50H + 3.25P and we are given that this total amount is $81.75

So we have an equation in two variables

2.50H + 3.25P = 81.75      (1)

We know the number of people is 30 and that should equal the number of hot dogs and pizza slices purchased

So

H + P = 30     (2)

Multiply Equation (2) on both sides by 2.50
==> 2.50(H + P) = 2.50 x 30

2.50H + 2.50P = 75    (3)

Subtract equation (3) from equation (1) to eliminate the H terms

(1) - (3):

2.50H + 3.25P - (2.50H + 2.50P) = 81.75 -75

2.50H + 3.25P - 2.50H - 2.50P = 6.75

Collect like terms and simplify

==>  (2.50H -2.50H) + (3.25P - 2.50P) = 6.75

==>  0.75P = 6.75

Divide both sides by 0.75

==>  0.75P/0.75 = 6.75/0.75

==>  P = 9

So number of people who bought pizza slices = 9

This is the same as the number of pizza slices that were bought

Substitute for P in Eq (2) H + P = 30
==>  H + 9 = 30

Subtract 9 from both sides

==> H + 9 - 9 = 30 - 9

==>  H = 21

So number of people who bought hot dogs = 21

This is the same as the number of hot dogs purchased

Answer:

Step-by-step explanation:

The equivalent form of the compound inequality -22 > -5x - 7≥-33  is  -22 > -5x - 7 and -5x - 7≥-33

Inequality:

A mathematical phrase in which the sides are not equal is referred to as being inequal. In essence, a comparison of any two values reveals the existence of an inequality when one of the values is less than, larger than, or equal to the value on the opposite side of the equation.

Given inequality is -22 > -5x - 7≥-33

The equivalent inequality is -22 > -5x - 7 and -5x - 7≥-33

Therefore,The equivalent form of the compound inequality -22 > -5x - 7≥-33  is  -22 > -5x - 7 and -5x - 7≥-33.

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Answer: Addition

Step-by-step explanation:

x-7 = 15

x-7+7 = 15+7 ==> Addition

x=15+7

x=22

The length of a rectangle is 6 m longer than its width. of the perimeter of the rectangle is 36 m, its area is  72 m².

Any polygon's area is the amount of space it takes up or encloses. The amount of square units that make up the polygon. Because the area is a two-dimensional object, it has both length and width. Typically, the area is expressed in square meters, square feet, or square inches. Acres, hectares, and square kilometers are used to measure the size of larger shapes like cities and farms.

Let l be the length of the rectangle

And w be the width of the rectangle.

Given, l=6+w

Perimeter,p =36m

We know that, p= 2(l+w)

p =36=2(6+w+w)

36/2= 6 +2w

18-6=2w

w=6m

Therefore, l=6+w

l=12m

Area of rectangle= lw

A = 12×6

A=72 m².

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Answer:

Take the root

Step-by-step explanation:

Area of the square equal

[tex] {x}^{2} [/tex]

Then the side length of the pictures equal

[tex] \sqrt{71.4 } [/tex]

The result will be 8.44

The random variable x, which represents the number of defective cameras in the sample, is x = 0, 1, 2

A random variable is a variable with an unknown value or a function that gives values to each outcome of an experiment. A random variable might be discrete (with discrete values) or continuous (with continuous values) (any value in a continuous range).

The box contains two malfunctioning cameras.

The random variable, x, represents the sample space for the number of malfunctioning cameras that can be chosen;

The outcomes are:

Both cameras are faulty; x = 2

One is flawed, one is not; x = 1

Both cameras are in good working order; x = 0

This defines that the random variable , x = 0, 1, 2

The random variable x, which represents the number of defective cameras in the sample, is  x = 0, 1, 2

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I understand that the question you are looking for is:

Suppose that a box contains 6 cameras and that 4 of them are defective. a sample of 2 cameras is selected at random. define the random variable x as the number of defective cameras in the sample. ( round to two decimal places when needed.)

The product of the given equation for the fourth root is 7.

The 4th root of an amount is the number that, when multiplied four times by itself, yields the original number.

For, the given question;

= ⁴√7 × ⁴√7 × ⁴√7 × ⁴√7

This equation can be written as;

=(⁴√7)⁴

Further writing the fourth root in terms of fraction;

= (7)∧(1/4)×4

Both power will cancel each other.

= 7

Therefore, the product of the fourth root is found as 7.

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The correct question is-

What is the following product?

⁴√7 × ⁴√7 × ⁴√7 × ⁴√7

Answer:3/8

Step-by-step explanation: ok  so go to calculator soup and go to calculators then go fractions it's the first one then click on a thing that says fractions then type in problem and show answer hope this helps and remember your awesome and have great day and the name is kirsten michelle baker.

The position of the stadium, given the data is 60 Km east and 10 Km south

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

With above formula, we can determine the position of the stadium. Details below

Speed = distance / time

Cross multiply

Distance = speed × time

Distance = 120 × 1/2

Distance = 60 Km east

Speed = distance / time

Cross multiply

Distance = speed × time

Distance = 60 × 1/6

Distance = 10 Km south

Thus, we can conclude that the position of the stadium is 60 Km east and 10 Km south

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Answer:

An open circle indicates "less than" or "greater than," while a closed circle indicates "greater than or equal to" or "less than or equal to". This number line includes values that are less than or greater than or equal to .

Step-by-step explanation:

Which means it would be B. Or D.

Answer:

45

Step-by-step explanation:

3 to the 4th power is the same as 3 x 3 x 3 x 3

3 x 3 x 3 x 3 = 81

-6 x -6 = 36 (a negative times a negative is always positive)

81 - 36 = 45

The correct option for the function in this problem is:

D- An exponential function is appropriate to model this scenario because, at the end of each year after purchase, the value of the equipment was 0.9 times its value 1 year before.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

For this problem, during each 1 -year period after the equipment was purchased, the value of the equipment at the end of the period was 10% less than its value at the beginning of the period, hence r = 0.1 and the equation is:

[tex]A(t) = A(0)(1 - 0.1)^t[/tex]

[tex]A(t) = A(0)(0.9)^t[/tex]

Which means that option D is correct.

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Answer:

i think its 2

Step-by-step explanation:

Answer: 2.

Step-by-step explanation:  Because if you see where the dot of line is you will see that the dot is right next to number 2

The supplied statement indicates that the angle of elevation will be = -75 feet.

The term angle of elevation refers to the angle between the horizontal and an object. The line of sight of an observer would be over the horizontal. The term angle of depression refers to the angle between the horizontal and an item. The line of sight of an observer would fall below the horizontal.

"rise over run" is an easy-to-remember equation for calculating a change in elevation as a decimal, which means the rise (the change in vertical distance) divided by that of the run (the change in horizontal distance). As an example, suppose the increase is two and the run is six. So you'd multiply 2 by 6 (or 2/6) to get.

Given The elevation of a sunken ship =  120 feet

the elevation of a submarine  = 5/8

So,

Your elevation will be given by employing the MULTIPLICATION OPERATION.

(5/8) x -120 feet

= -75 feet

The supplied statement indicates that the angle of elevation will be = -75 feet.

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The G.P.A of the student with the given grades is 2.7875

We are told that the grades that the student had are as follows;

2.8 in a 5 credit math's course

2.4 in a 3 credit music course

3.1 in a 5 credit chemistry course

2.9 in a 5 credit journalism course

Thus, the G.P.A can be calculated as;

[(2.8 * 5) + (2.4 * 3) + (3.1 * 5) + (2.9 * 5)]/(5 + 3 + 5 + 5)

= (14 + 7.2 + 15.5 + 7.9)/16

= 44.6/16

= 2.7875

Thus, we conclude that the G.P.A of the student with the given grades is 2.7875

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Omar runs 0.9577 miles each morning .  

It is given that area of the circular park is .02 square miles .

Using area formula , we get

               0.02 = πr²

                0.02 = 3.14r²

                0.0063 =  r²

                0.079 = r

Omar run each morning = 6 × Circumference of circle

                                        = 6 × 2πr

                                        = 12 × 0.079

                                        = 0.9577 miles

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Answer:

±3

Step-by-step explanation:

4 - 1 = 3

1 - 4 = -3

Either way you subtract them, the answer is still 3, whether negative or positive.

Answer:

I have no clue

[tex] \bf \implies \: y \: = \frac{1}{2} p - x[/tex]