The perimeter of a rectangle is found by using the formula P = 2l + 2w, where P is the perimeter, l is the length and w is the width. Use the formula and operations of equations to fill in the missing information on the table below. Complete your work in the space provided. Include the entire process for completing the table.

Answer:

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

Length = 100 m

Width = 52 m

Area of rectangle = 100 × 52 = 5200 m²

A semicircle is half of a circle

The formula for determining the area of a semicircle is

Area = 1/2 × πr²

Diameter = 52 m

Radius = diameter/2 = 52/2

Radius = 26 m

The area of each semicircle is

1/2 × 3.14 × 26² = 1061.32 m²

The area of the surface of the pool is

1061.32 + 1061.32 + 5200 = 7322.64 m²

Answer:

5200

1061

7322

hope this help

Answer:

Step-by-step explanation:

According to the central limit theorem, a distribution is said to be normal if the sample size is sufficiently large (usually n > 30) notwithstanding whether the source population is normal or skewed. But for a population that is normally distributed the theorem still holds true. for samples smaller than 30.

The shape of the sampling distribution changes with a sample size. For a large sample size, the sampling distribution starts to approximate a normal distribution.

Answer:

To find the line parallel to the line y = -2/3x + 1 and passing through the point (-6, -1), we will need to know that if two lines are parallel, then their slopes are equivalent to each other.

Since we are given the slope, we need to find the y-intercept of the line. We can find the y-intercept by substituting the point (-6, -1) into a new equation with the slope of m = -2/3. Remember that slope-intercept form is y = mx + b.

y = -2/3x + b (substitute the ordered pair)

-1 = -2/3(-6) + b

-1 = 4 + b (subtract 4 from both sides)

-5 = b

Therefore, the equation of the line passing through the point (-6, -1) and parallel to y = -2/3x + 1 is y = -2/3x - 5.

Step-by-step explanation:

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write a linear equation with the given information passing through

Final answer:

The given statement exemplifies empirical probability because it is derived from the results of a survey, which is a real-life observation.

Explanation:

The statement 'According to a survey, the probability that an adult chosen at random is in favor of police body cameras is about 0.39' is an example of empirical probability.

Empirical probabilities are calculated from real-life observations or experiments. In this case, a survey is conducted, and the probability is calculated by dividing the number of adults in favor of police body cameras by the total number of adults surveyed. Since this probability comes from actual data collected from a population, it is empirical, as opposed to theoretical probability which is based on known mathematical principles or subjective probability which is based on personal judgment or opinion.

The statement is an example of empirical probability because it is based on data from a survey, reflecting observed frequencies in favor of police body cameras.

The given statement is an example of empirical probability. Empirical probability is based on observed data or past experiences.

In this case, the probability is determined through a survey, which involves collecting and analyzing data from a sample of adults.

The observed frequency of adults in favor of police body cameras is used to estimate the probability, making it empirical.

The solution is, A) f(x) and g(x) have the same domain and the same range.

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

here, we have,

First of all, A function f from a set A to a set B is a relation that assigns to each element  in the set  exactly one element in the set [/tex]B[/tex]. The set  is the domain (or set of inputs) of the function and the set  contains the range (or set of outputs).

First.

f(x) = -7x

The graph of this equation is shown in Figure 1. As you can see this is a straight line with negative slope and does not intersect the y-axis.

So the statement that best describes this problem is:

Both the domain and the range is the set of all real numbers.

Second

g(x) = 7x

The graph of this equation is shown in Figure 2.This is also a straight line but it has positive slope. This one does not intersect the y-axis either.

Both the domain and the range is the set of all real numbers.

Hence, The solution is, A) f(x) and g(x) have the same domain and the same range.

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Answer:

166.4

Step-by-step explanation:

160(1+0.04)

Using PEMDAS

Parentheses first

160 (1.04)

Multiply

166.4

This does not go to the hundredths place so we do not need to round

166.4

We can use the distributive property to solve: a(b + c) = ab + ac

160(1 + 0.04)

(160 * 1) + (160 * 0.04)

160 + 6.4

166.4

Best of Luck!

Answer:

Matias divided 7.6 by 10 raised to the power of -2.

Step-by-step explanation:

Given : Matias preformed an operation with 7.6 and a number. He ended up moving the decimal point in 7.6 two places to the left.

To find : Matias divided 7.6 by 10 raised to the power of ?

Solution :

Matias preformed an operation with 7.6 and a number.

He ended up moving the decimal point in 7.6 two places to the left we have to multiply it with 0.01

i.e. [tex]7.6\times 0.01=\frac{7.6}{100}=0.076[/tex]

So, Matias divided 7.6 by 10 raised to the power of -2.

Answer:

1/15

Step-by-step explanation:

2/6 for the first one the first the second is 1/5, so 2/6=1/3, so 1/3 x 1/5 = 1/15 your answer is 1/15

Answer:

60 in

Step-by-step explanation:

BD² = s² + s²

21.21² = 2s²

s² = 224.93205

s = 14.997734829

Perimeter = 4s

= 59.990939316

Answer:

v- Both (iii) and (iv) are correct

Step-by-step explanation:

Answer:

Option A) [tex](2,\sqrt{21})[/tex]

Step-by-step explanation:

The following information is missing in the question:

A. [tex](2,\sqrt{21})[/tex]

B. [tex](2,\sqrt{23})[/tex]

C. (2, 1)

D. (2, 3)

We are given the following in the question:

A circle centered at origin and radius 5 units.

We have to find the equation of a point that lies on the circle.

Let (x,y) lie on the circle.

Distance formula:

[tex]d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Putting

[tex](x_2,y_2) = (x,y)\\(x_1.y_1) = (0,0)\\d = 5[/tex]

We get,

[tex]5 = \sqrt{(y-0)^2 + (x-0)^2}\\\sqrt{x^2+y^2}=5\\x^2+y^2 = 25[/tex]

is the required equation of point on the circle centered at the origin with a radius of 5 units.

The point [tex](2,\sqrt{21})[/tex] satisfies the given equation.

Verification:

[tex](2)^2 + (\sqrt{21})^2\\=4 + 21\\=25[/tex]

Thus, [tex](2,\sqrt{21})[/tex] lies on the circle centered at the origin with a radius of 5 units.

Answer:

A. (2,\sqrt{21})

Step-by-step explanation:

Jake has 730 grams left.

Lets start by converting the kilograms to grams. Kilos to Base is x1000

So he started with 1000 grams of olives.

How much olives did he use?

9*30=270

SO the answer is 1000-270=730

Answer:

1. [tex](\sqrt[5]{(m+2)})^{3} = (m+2)^{\frac{3}{5}}[/tex]

2. [tex](\sqrt[3]{(m+2)})^{5} = (m+2)^{\frac{5}{3}}[/tex]

3. [tex]\sqrt[5]{(m)}^{3}+2 = m^{\frac{3}{5}}+2[/tex]

4. [tex]\sqrt[3]{(m)}^{5}+2 = m^{\frac{5}{3}}+2[/tex]

Step-by-step explanation:

Recall that

[tex](\sqrt[n]{x})^{m} = (x^{\frac{m}{n}})[/tex]

Where [tex]x^{m}[/tex] is called radicand and n is called index

1. Root(5, (m + 2) ^ 3)

In this case,

n is 5

m is 3

x = (m + 2)

[tex](\sqrt[5]{(m+2)})^{3} = (m+2)^{\frac{3}{5}}[/tex]

2. Root(3, (m + 2) ^ 5)

In this case,

n is 3

m is 5

x = (m + 2)

[tex](\sqrt[3]{(m+2)})^{5} = (m+2)^{\frac{5}{3}}[/tex]

3. Root(5, m ^ 3) + 2

In this case,

n is 5

m is 3

x = m

[tex]\sqrt[5]{(m)}^{3}+2 = m^{\frac{3}{5}}+2[/tex]

4. Root(3, m ^ 5) + 2

In this case,

n is 3

m is 5

x = m

[tex]\sqrt[3]{(m)}^{5}+2 = m^{\frac{5}{3}}+2[/tex]

To calculate how many pounds of a chemical a container can hold, you multiply the container's volume by the weight of the chemical per cubic foot. In the example given with a container measuring 4 ft x 3 ft x 2 ft, which has a volume of 24 cubic feet, the container would hold 1920 pounds of a chemical that weighs 80 pounds per cubic foot.

To answer your question on how many pounds of the chemical a container can hold, we need to calculate the volume of the container first and then use the provided density to find the weight of the chemical that fits in that volume. Unfortunately, the dimensions of the container are not provided in your question, so I'll give you an example of how to do this calculation instead.

Let's assume that the container is a box with the following dimensions: length (L) = 4 feet, width (W) = 3 feet, and height (H) = 2 feet. To find the volume (V) of the container, you multiply these dimensions:

V = L x W x H
V = 4 ft x 3 ft x 2 ft
V = 24 cubic feet

Now, to find out how much chemical can fit inside this volume, we use the fact that one cubic foot of the chemical weighs 80 pounds:

Weight of chemical in container = Volume of container x Weight per cubic foot
Weight of chemical in container = 24 cubic feet x 80 pounds/cubic foot
Weight of chemical in container = 1920 pounds

So, if the container had these assumed dimensions, it could hold 1920 pounds of the chemical.

Answer:

c

Step-by-step explanation:

Answer:

9.43

Step-by-step explanation:

find the area of the circle and take away 1/4 of the area (because the angle taken away is 90) then you have the answer.

Answer:

9.4275

Step-by-step explanation:

First you find the area of the circle without the cut portion which is

2 times 2 = 4. Then 4 times 3.14 = 12.57.

Now that we found the total area of the circle we need to subtract the removed portion. What you can see here is that the circle is cut by 25% so that means only 75% of it still remains. 75% of 12.57 is = 0.75 multiplied by 12.57 which is 9.4275

Answer:

8.4 cm

Step-by-step explanation:

Hope this helps!

Answer:

8.4 cm²

Step-by-step explanation:

Area of a parallelogram= base × height

= 1.2× 7 cm² = 8.4cm²

Answer:

Air? Their breath?

Answer:their breath (air)

Step-by-step explanation:

Answer:

The time it takes them to grade the essays if they work together is 1.857 hours

Step-by-step explanation:

The formula for “Work” Problems that involve two persons is

[tex]\frac{1}{t1} + \frac{1}{t2} =\frac{1}{tb}[/tex]

<=> [tex]\frac{1}{3} + \frac{1}{5} =\frac{1}{tb}[/tex]

<=> [tex]\frac{1}{tb} = \frac{8}{15}[/tex]

<=> tb = [tex]\frac{15}{8} = 1.875 hours[/tex]

The time it takes them to grade the essays if they work together is 1.857 hours

Answer:

given mass is 52.45g

given volume is 5cm³

from the formula

density=mass/vol

=52.45g÷5cm³

=10.49g/cm³

Answer:

82

Step-by-step explanation:

Considering the exchange rate of £1= 18.57 rand and since he has £890 he gets equivalent of $890*18.57=16,527.3 rands

Since he wants to get as many 200 rand notes as possible then assuming he is only given 200 rand note as the highest note he gets

16, 400/2 =82 rands of 200 note

then the remaining 127.3 rands he gets in other notes and coins available

Answer:

The perimeter of the dog's play area is 30 ft

Step-by-step explanation:

Rectangle:

Given that,

The length of the long side of the dog's play area was = 10 ft.

So, Length of dog's play area is = 10 ft.

The length of the short side of the dog's play area was = 5 ft.

So, width of dog's play area is = 5 ft.

It is a rectangular plot.

So, the perimeter of the dog's play area is =2(Length+width)

                                                                      =2(10+5) ft

                                                                      =2(15) ft

                                                                      =30 ft

Answer:

billy

Step-by-step explanation:

its billy's mother. he/she is one of the children

Answer:

No, you should not approximate using the normal distribution because your sample size is too small.

Step-by-step explanation:

You can use the normal distribution in the following cases:

Based on the rule of thumb, I would collect at least 7 more answers before using the normal distribution.

Because the sample size is too tiny, one should not use the normal distribution for approximation.

Given that,
In a recent survey, 83% of the community favored building a police substation in their neighborhood. You randomly select 18 citizens and ask each if he or she thinks the community needs a police substation.

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
The sample size should be greater than 25, and the sample size should originate from a regularly distributed population. As the sample size of the distribution is to small normal distribution cannot be used.

Thus, Because the sample size is too tiny, one should not use the normal distribution for approximation.

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Answer:

z= -2

it is what it isssssss

Answer:

185 Points

Step-by-step explanation:

38 x 2 = 76

33 x 3 = 99

8 x 1 = 8

78 + 99 + 8 = 185

Work Shown:

"38 points worth of two-pointers" means 38/2 = 19 two point shots were made.

"33 points worth of three-pointers" means 33/3 = 11 three point shots were made

"8 points worth of free throws" means 8/1 = 8 free throws were made

In total, 19+11+8 = 38 shots were made

Answer:

The answer to your question is the letter B

Step-by-step explanation:

Data

                 | 5  0 |   | 2  - 1 |

                 | 3 -5 |   | 2  - 2|

Process

1.- This is the product of two matrices 2 x 2 so the result will be a 2 x 2 matrix.

- Multiply the first row of the first matrix by the first column of the second matrix.

-Multiply the first row of the first matrix by the second column of the second matrix.

- Multiply the second row of the first matrix by the first column of the second matrix.

-Multiply the second row of the first matrix by the second column of the second matrix.

                 | 5  0 |   | 2  - 1 |         | (5 x 2) + (0 x 2)    (5 x -1) + (0 x -2) |

                 | 3 -5 |   | 2  - 2|    =   | (3 x 2) + (-5 x 2)   (3 x -1)  + (-5 x -2)|

                                              =  | 10 + 0    -5 + 0 |

                                                  | 6 - 10     -3 + 10|

                                             = | 10  - 5 |

                                                | -4     7|

The measure of ∠AFB is -35 degrees.

To find the measure of ∠AFB, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since we are given the measures of ∠AFC (120°) and ∠BFC (95°), we can find the measure of ∠AFB by subtracting the sum of these two angles from 180 degrees:

∠AFB = 180° - (120° + 95°) = 180° - 215° = -35°

Therefore, the measure of ∠AFB is -35 degrees.

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Answer:

  16% increase

Step-by-step explanation:

A percentage change can be calculated from ...

  percentage change = ((new value)/(old value) -1) × 100%

  = (58/50 -1) × 100% = (1.16 -1) × 100%

  = 16%

Mr. Key's work hours increased 16% from last week to this.

Answer:

m and n a

Step-by-step explanation:

lines m and n are parallel .