The rectangular floor of a classroom is 32 feet in length and 40 feet in width. A scale drawing of the floor has a length of 8 inches. What is the ares, in square inches,of the floor in the scale drawing

Answer:

It is C

Step-by-step explanation:

Answer:

The answer of this question is 7

Step-by-step explanation:

because 1 page=$0.70 and now calculate

10×1×0.70=7

To edit 10-page play you have to pay $7.

"It is the method of finding the value of a single unit, and based on that value we can find the required value."

For given question,

A play is of 10 pages.

It charges $0.70 per page to edit.

So, to edit 10-page play the cost would be,

10 × $0.70 = $7.0

Therefore, to edit 10-page play you have to pay $7.

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Number of solution for the given quadratic equation as Discriminant=0 is equals to 1.

" Quadratic equation is defined as the polynomial containing variables with highest exponent equals to 2."

Formula used

For quadratic equation

[tex]ax^{2} +bx+c=0[/tex]

Discriminant = b²-4ac

According to the question,

Given quadratic equation

[tex]-3 = x^{2} +4x+1[/tex]

⇒[tex]x^{2} +4x+1 +3 =0[/tex]

⇒[tex]x^{2} +4x+4 =0[/tex]

Here, a=1 , b= 4 , c =4

Substitute the value in the formula we get,

Discriminant = [tex]4^{2} - 4(1)(4)[/tex]

                     = [tex]16 -16[/tex]

                     = 0

Number of solution discriminant =0 is 1.

[tex]x^{2} +4x+4 =0[/tex]

⇒[tex](x+2)^{2} =0[/tex]

⇒[tex]x= -2[/tex] has unique solution.

Hence, number of solution for the given quadratic equation as Discriminant=0 is equals to 1.

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Answer:

4/52 or 1/13

Step-by-step explanation:

Answer:

the probabilyy of that will probably be the probability of that question porbably speaking about probability

Answer:

Step-by-step explanation:

It would be about 3.14 as since it is only 1 inch pi is multiplyed by one and when rounding pi to the hundreths you get 3.14 hope this helps

The area of the square pyramid building is the amount of space on it

The maximum base length of the building is 67.42 cm

The given parameters are:

Base = b

Slant height (l) = 5b

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * b * 5b

Evaluate the product

L = 10b^2

The total surface area is calculated using:

T = L + b^2

So, we have:

T = 10b^2 + b^2

Evaluate the sum

T = 11b^2

The maximum surface area is 50,000 square feet

So, we have:

11b^2 = 50000

Divide both sides by 11

b^2 = 50000/11

Take the square root of both sides

b = 67.42

Hence, the maximum base length of the building is 67.42 cm

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Answer: 71 feet

Step-by-step explanation:

Let's assume that the side length of the base of the square pyramid is x. Then, the slant height of the pyramid would be 5x, as given in the problem.

The lateral surface area of a square pyramid can be calculated using the formula:

Lateral surface area = (perimeter of base) × (slant height) / 2

The perimeter of the square base is 4x. So, the lateral surface area of the square pyramid can be written as:

Lateral surface area = 4x × (5x) / 2 = 10x^2

We are told that the construction material used for the outside of the building is between 20,000 square feet and 50,000 square feet. So, we can set up the following inequality:

20,000 ≤ 10x^2 ≤ 50,000

Dividing both sides by 10, we get:

2000 ≤ x^2 ≤ 5000

Taking the square root of both sides, we get:

44.7 ≤ x ≤ 70.7

Since we are looking for the maximum possible value of x, we can round 70.7 up to the nearest foot, which is 71 feet.

Therefore, the maximum possible side length of the base of the building is 71 feet.

Answer:

  y = qx/p -qr

Step-by-step explanation:

To solve for a variable, you must undo the operations done to the variable. Here, the variable is divided by a negative number (-q), and the result is added to another term (x/p).

We undo the addition by adding the opposite of the term that is added:

  [tex]\dfrac{x}{p}-\dfrac{x}{p}-\dfrac{y}{q}=r-\dfrac{x}{p}\qquad\text{add $-\dfrac{x}{p}$}\\\\-\dfrac{y}{q}=r-\dfrac{x}{p}\qquad\text{simplify}[/tex]

We undo the division by multiplying by the reciprocal of the coefficeint, -q.

  [tex]\left(-\dfrac{y}{q}\right)(-q)=\left(r-\dfrac{x}{p}\right)(-q)\qquad\text{multiply by $-q$}\\\\\boxed{y=-qr+\dfrac{qx}{p}}\qquad\text{simplify}[/tex]

Check the picture below.

Answer:

The only true statement is :

The graph of the function is a parabola

Step-by-step explanation:

f(x) = x² – 5x + 12

Option 1: The value of f(–10) = 82  

Reason : f(-10) = (-10)² – 5(-10) + 12 = 100 + 50 + 12 = 162 ≠ 82

Option 2: The graph of the function is a parabola  [tex]\huge\checkmark[/tex]

Option 3: The graph of the function opens down

Reason : the coefficient of x² is 1 ,which is a positive number then the graph opens up.

Option 4: The graph contains the point (20, –8)

Reason : f(20) = 312 ≠ -8

Option 5: The graph contains the point (0, 0)

Reason : f(0) = 12 ≠ -8

Answer:

ABC

Step-by-step explanation:

the last net, it's the only one with a rectangle and 4 triangels

Answer:

D

Step-by-step explanation:

Again all it takes is for you to image wat the shape would fold into.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

Happy to help! :)

Answer:

The greatest common factor (GCF) is the largest number that is a factor of two or more numbers, and the least common multiple (LCM) is the smallest number that is a multiple of two or more numbers.

Answer:

a₆ = 243

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

3 ÷ 1 = 9 ÷ 3 = 27 ÷ 9 = 3

this indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ × [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 1 and r = 3 , then

a₆ = 1 × [tex]3^{5}[/tex] = 243

243

Hope it helps.

Do comment if you have any query.

Answer:

This is how i arrived at an answer 25

Answer:

x = ±1

Step-by-step explanation:

x² - 1 = 0

x² = 1

x = ±1

I hope this helps!

Adjacent angles share a common side. Think of two neighboring adjacent apartments that share a common wall.

As per linear equation, option-A and option-B are the equations of  straight line.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given equations are:

A. [tex]3x + 2y = 8[/tex]

It is an equation of a straight line as it matches the standard form of a linear equation.

B. [tex]y = \frac{x}{2} - 5[/tex]

This is also an equation of a straight line as it matches the standard form of a linear equation.

C. [tex]y = x^{2} + 3[/tex]

It is not an equation of a straight line as it does not match the standard form of a linear equation.

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Answer:

  -7

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

__

Using the first two points from your list, we find the slope to be ...

  m = (29 -36)/(40-39) = -7/1 = -7

The slope of the line is -7.

Answer:

2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

x=2x+8/x

x-2x=8/x

-x=8/x

8=-x(x)

8=-x^2

8-(-x^2)=0

8+x^2=0

x^2+8=0

x=2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

[tex]x = \frac{2x + 8}{x} [/tex]

[tex] {x}^{2} = 2x + 8[/tex]

[tex] {x}^{2} - 2x - 8 = 0[/tex]

[tex](x - 4)(x + 2) = 0[/tex]

[tex]x = 4[/tex]

or

[tex]x = - 2[/tex]

Answer:

E. 12 red, 6 green, 4 blue

Step-by-step explanation:

To find the number of colored pencils for each color, we must find ratios.

480 red: 240 green: 160 blue

Then we divide them to the simplest ratios.

We divide all the numbers by 80.

6 red: 3 green: 2 blue

There are a total of 11 pencils here. To get 22 pencils, you multiply the ratio by 2 to get 22 pencils.

12 red: 6 green: 4 blue

The pencils of each color are 12 red, 6 green, 4 blue. The correct option is E.

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils.

Without looking, Carlos pulls out 22 pencils.

The pencils were distributed randomly in the bin.

To find the numbers of pencils of each color:

First, we will find the ratio.

Red : Green : Blue

= 480 : 240 : 160

We will factor out the common factor,

= 12: 6: 4

Therefore, 12 red, 6 green, 4 blue are the pencils of each color.

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Answer:

B. 34 inches

Step-by-step explanation:

its 34 inches because you do 46x2 because of the two sides and you will get 92. Then subtract 92 from 160 to find out the other side and you will get 68. Then do 68÷2 because you have to find the other side and you will get 34

To find the period

  ⇒ let's define what the period is

Definition of Period:  the interval of time between successive occurrences of the same state in an oscillatory or cyclic phenomenon

Based on the definition:

     ⇒it states that we must look for how long it takes the function to

         complete one cycle of repetition

In this graph: it takes [tex]\pi /2[/tex] to complete one period or one cycle of repitition

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

Hope that helps!

Answer:

5.8+5.8+8.2+8.2=28m

Step-by-step explanation:

If you want to find the PERIMETER  you just need to add up the length of all of the sides. No multiplication needed. Just add the numbers. Don’t forget that there are multiple sides so even though only two are labeled dont forget to add every single side that the shape has.

Answer:

R = -9

Step-by-step explanation:

To solve the slope with two points, you would use the formula y2 - y1/x2 - x1. First, you would take the formula and sub in the values that you currently know.

6 - r/4 - (-1) = 3, 6 - r/5 = 3, 6 - r = 15, -r = 9, r = -9

Therefore, r = -9.

Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

[tex]n = 864, \pi = \frac{426}{864} = 0.493[/tex]

Then, the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526[/tex]

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

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Answer:

From the question, Stacey deposits $2600 six times over a thirty year period since she makes the deposit every five years. Her amount accures by the formular. A = P(1+r/n)^nt. Where her principal P = $2,600. Rate, r =6% =0.06. Time = 30 years and the period of compounding per unit time, n = 6 years. So we have A =2, 600(1+(0.06/6))^(6*30) = 2, 600 (1 + 0.01)^(180) = 2600* 5.9958 = $15, 587. To the nearest cent we have $15, 590.

Step-by-step explanation:

:)

Answer:

Claire

Step-by-step explanation:

Answer:

reference attached

Step-by-step explanation:

Answer:

It's ok. Math can be really difficult, but don't give up and you'll understand.

To begin, this is a transversal. A transversal is a set of parallel lines that have a third line intersecting them.

In the photo below, you can see the original angle given and it is 35°. On the same line directly across from it is an angle that is also 35°. This follows the rule of vertical angles, which are angles produced by the same two lines. It also states that they are congruent.

You'll also see that the angle next to the original angle is 145°. This follows the rule of supplementary angles, which states that two angles that are on the same straight line will equal 180° when added together.

The angle opposite to that is 145°, which can be proven by vertical angles.

Through a method called corresponding angles, we can see that the original angle is corresponding with the angle below it.

Then you would repeat the process for the top.

Hope this helps!

Answer:

The cat is faster.

Step-by-step explanation:

Compare the animals' speeds in feet per second.

Rabbit:

feet/sec = 35/7

= 5ft/sec

Cat:

feet/sec = 18/2

= 9 ft/sec

9 ft/sec is faster than 5ft/sec.

The cat is faster.