Find the perimeter of each rectangle 124ft length 96ft. Width

ANSWER

Converges

[tex]S_{ \infty } = 68[/tex]

EXPLANATION

The guy sequence is

17 + 12.75 + 9.5625 + ...

The common ratio is:

[tex] \frac{9.5625}{12.75} = \frac{12.75}{17} = \frac{3}{4} = r[/tex]

Since

[tex] |r| < 1[/tex]

the series converges.

The sum to infinity of this sequence is :

[tex]S_{ \infty } = \frac{a}{1 - r} [/tex]

where a=17 is the first term of the series.

[tex]S_{ \infty } = \frac{17}{1 - \frac{3}{4} } [/tex]

[tex]S_{ \infty } = \frac{17}{ \frac{1}{4} } = 68[/tex]

Answer:

B

Step-by-step explanation:

Margin of Error is simply a range, an amount that is allowed for in case of miscalculation or change of circumstances. The margin of error is 5%.

1. Find the 5% of 3.20 = .16

2. Subtract and add .16 to 3.20 to get rid of that margin of error

    3.20 + .16 = 3.36 and 3.20 - .16 = 3.04

3. 3.04 and 3.36

Answer:

b 3.04 to 3.36

Step-by-step explanation:

First we need to find 5% of 3.20

.05*3.20 = .16

To find the lower value, subtract 16 cents from 3.20

3.20-.16 = 3.04

To find the upper value, add 16 cent to 3.20

3.20 + .16 = 3.36

The range is 3.04 to 3.36

Answer:

1/5

Step-by-step explanation:

Since there are 2 red marbles and since there are a total of 10 marbles, the probability is 2/10. This simplifies to 1/5. So the probability of picking a red marble is 1/5.

The probability of randomly picking out a red marble is 1/5

To determine the probability of randomly picking out a marble and it being red, we need to consider the total number of marbles and the number of red marbles.

Total marbles = 5 green + 3 blue + 2 red = 10 marbles

Red marbles = 2

So, we have

Probability = (Number of favorable outcomes) / (Total possible outcomes)

This gives

Probability = (Number of red marbles) / (Total marbles)

By subsituition

Probability = 2/10 = 1/5

Hence, the probability of randomly picking out a marble and it being red is 1/5

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Answer:

$12 per dozen muffins

Step-by-step explanation:

3.00/3 = 1

1x = the price of one muffin

1(12) = 12

Step 1: Find what the price is per muffin. To do this you must divide $3.00 by 3 muffins (this will tell you dollar per muffin or $/muffin)

3 ÷ 3 = 1

This means that every muffin is $1

Since we know this, and we know that a dozen means 12 we can multiply 1 by 12 to find how much you would pay for a dozen muffins

12 × 1 = 12

It's $12 per dozen muffins

Hope this helped!

Answer:

The value of x is 6 and -6. The smallest value of x is -6

Step-by-step explanation:

2/3 x² = 24

solving this equation for finding the value of x.

Multiply both sides by 3/2

x² = 24 * 3/2

x² = 72/2

x² = 36

Now, to find the value of x taking square root on both sides

√x² = √36

x= ±6

So, the value of x is 6 and -6. The smallest value of x is -6

Answer: it should be 3 units down

Think if it on a graph in your mind and plot points then use every choice to see which makes sense

For this case we have:

Let k> 0:

To graph [tex]y = f (x) + k,[/tex] the graph k units is moved up.

To graph [tex]y = f (x) -k[/tex], the graph moves k units down.

Let h> 0:

To graph [tex]y = f (x-h)[/tex], the graph moves h units to the right.

To graph [tex]y = f (x + h)[/tex], the graph moves h units to the left.

So, we have:

[tex]y = f (x) = \sqrt {x}\\h = 3\\y = f (x) = \sqrt {x + 3}[/tex]

It means that it was shifted 3 units to the left

Answer:

Option A

Answer:

A- control group

Since group A is tested under normal condition, it is the control group. Control group is separated from other groups so that the independent variable being tested cannot influence the result.

32

1024/2=528(~512)/2=256/2=128/2=64/2=32

Answer:

x = - 5

Step-by-step explanation:

A line with an undefined slope indicates that the line is vertical and parallel to the y- axis.

The equation of a vertical line is

x = c where c is the value of the x- coordinates the line passes through.

The line passes through (- 5, 2) with x- coordinate -5, hence

x = - 5 ← equation of line

The equation of a line that passes through the point (-5, 2) and has an undefined slope is x = -5.

i.e y-axis.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

We have,

The equation of a line passes through the point (-5, 2)

The equation of a line has an undefined slope.

Now,

An undefined slope means,

The line is parallel to the y-axis.

There is only one point on the x-axis.

Slope = Change in y-axis / Change in the x-axis

Slope= Change in y-axis / 0

Slope = undefined

If the slope of a line is undefined there is no y-intercept.

The equation of  the line is:

y = mx + c

y = (1/0)x + 0

0 = x

x = 0

This means the y-axis.

The equation of the line passes through the point (-5, 2) so,

x = -5

Thus,

The equation of a line that passes through the point (-5, 2) and has an undefined slope is x = -5.

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Answer:

0.025

Step-by-step explanation:

First you need to figure out the common pattern you see. What I saw was that we are dividing something.

I looked at the 16 and -8 and thought of -2. To make sure, you can use a calculator.

So -8 is the 4th term you can go back dividing -8 with -2 until you've reached the 11th term.

I don't know if my answer is right. I wasn't being organized as I could be. It would be better if you do it again to make sure it's correct.

Answer:

24 and 8

Step-by-step explanation:

The formula for the perimeter of the rect. is P = 2W + 2L.

Here, L = 2W + 8, so the area formula becomes:

P = 2W + 2(2W + 8) = 64

Dividing all terms by 2 reduces this to:

         W + 2W + 8 = 32, or 3W = 24, or W = 8.

Then:  L = 2W + 8 = 2(8) + 8 = 24

Check:  does 2W + 2L = 64 when these values for W and L are substituted?

              Is 2(8) + 2(24) = 64   true?  Yes

The length and width are 24 and 8 respectively.

The length of rectangle will be 8 units.

The width of rectangle will be 24 units.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The length of a rectangle is eight more than twice the width.

The perimeter is 64.

Now,

Let the width of rectangle = x

Then, The length of rectangle = 2x + 8

Here, The perimeter is 64.

So, We get;

2 (length + width) = 64

2 (2x + 8 + x) = 64

2 (3x + 8) = 64

3x + 8 = 64/2

3x + 8 = 32

3x = 32 - 8

3x = 24

x = 8

Thus, The width of rectangle = x

                                            = 8

Then, The length of rectangle = 2x + 8

                                              = 2 × 8 + 8

                                              = 24

Therefore, The length of rectangle will be 8 units.

The width of rectangle will be 24 units.

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Answer:

See step-by-step

Step-by-step explanation:

A prism is named by the shape of its bases.  That makes this an octagonal prism

The shape of the bases are octagons.

The vertices are all the letters

The lateral edges are all the vertical lines connected by the vertices.  RQ, WN, VM, are all examples.

The rectangles making up the sides are called lateral faces.

The altitudes are the same as the lateral edges.  They all represent the height of the prism.

Answer:

2 13/15

Step-by-step explanation:

2.26/ 1 X 100/100 = 226/100

226/100 Dived by 2 ( both top and bottom ) = 113/50

113/50 = 2 13/50

2.26 = 2 13/50

Answer:

x^2 + y^2 = 32

Step-by-step explanation:

The fact that the circle's center is at (0,0) tells you that the circles equation is of the form x^2 + y^2 = radius^2

radius = 4*sqrt(2)       Given

r^2 = (4sqrt(2) )^2

r^2 = 16 * 2

r^2 = 32

So the entire equation is

x^2 + y^2 = 32

Clarice started with 12 tickets and added more (t) to it. She doesn't know how many tickets she used, fitting situation A.

The expression t + 12 implies that Clarice started with 12 tickets and then added some more tickets ( t ) to it.

Among the given options, situation A best fits this expression. Clarice knows she had 12 tickets to start with, but she doesn't know how many additional tickets ( t ) she has acquired or used since then.

So, the correct situation described by the expression is A.

Answer:

3 ft, 5ft, 6ft

Step-by-step explanation:

To build a kennel of my dog, I would try to make it the largest possible with what I have.

So, I would go with the 3 longest planks: 3ft, 5ft and 6ft.

By looking at the length, I see I could make something very close to a right triangle since I could use the 6ft as an hypotenuse, and have the two other sides as 3ft and 5 ft  (6² is almost 3²+5², which equal 34).

That means my corner angle would be slightly over 90 degrees.

Answer:

3,5,6

Step-by-step explanation:

because i said so

Answer:

A: [tex]y=-3sin(2(x+\pi))+2[/tex]

Step-by-step explanation:

As all of the functions are sin functions, the option must be negative due to the shape of the graph.

This narrows down the options to A and B

When looking at b, it has a period of [tex]2\pi[/tex] which is not equivalent to the given graph that has a period of [tex]\pi[/tex]

Function A has a period of [tex]\pi[/tex] and is negative, so it is the correct option

Answer:

[tex]y=-3\sin(2(x+\pi)+2[/tex]

Step-by-step explanation:

The graph completes two cycles on the interval [tex][-\pi,\pi][/tex].

This implies that, the graph has a period of [tex]\pi[/tex].

The functions is a sine function that is reflected in the x-axis and shifted up by 2 units.

The range of the graph is -1 to 5.

This means that the amplitude is 6/2=3

The graph is also shifted to the right [tex]\pi[/tex] units

The function is

[tex]y=-3\sin(2(x+\pi)+2[/tex]

ANSWER

[tex]{ {6}{x}^{3} {y}^{ \frac{16}{3} } }[/tex]

EXPLANATION

We want to find the cube root of

[tex]216 {x}^{9} {y}^{16} [/tex]

This is the same as:

[tex] \sqrt[3]{216 {x}^{9} {y}^{16} } [/tex]

We rewrite as radical exponent to get;

[tex] {(216 {x}^{9} {y}^{16} )}^{ \frac{1}{3} } [/tex]

This implies that;

[tex] {( {6}^{3} {x}^{9} {y}^{16} )}^{ \frac{1}{3} } [/tex]

This simplifies to:

[tex]{ {6}^{ \frac{3}{3} } {x}^{ \frac{9}{3} } {y}^{ \frac{16}{3} } }[/tex]

Hence the cube root is:

[tex]{ {6}{x}^{3} {y}^{ \frac{16}{3} } }[/tex]

Answer:

The cube root of [tex]\sqrt[3]{216x^9y^{16}} \,\,is\,\,6x^3y^{16/3}[/tex]

Step-by-step explanation:

We need to find the cube root of 216x^9y^16

[tex]\sqrt[3]{216x^9y^{16}} \\can\,\, be\,\, written\,\, as\,\,\\=\sqrt[3]{216} \sqrt[3]{x^9} \sqrt[3]{x^{16}} \\=\sqrt[3]{6x6x6} \sqrt[3]{x^9} \sqrt[3]{x^{16}} \\we\,\, know\,\,\sqrt[3]{x} = x^{1/3}\\= (6^3)^{1/3} (x^9)^{1/3}(y^{16})^{1/3}\\= 6x^3y^{16/3}[/tex]

So, the cube root of [tex]\sqrt[3]{216x^9y^{16}} \,\,is\,\,6x^3y^{16/3}[/tex]

Answer:

a. 13,2 in.

Step-by-step explanation:

66 : 2.5 = 26.4

0.5 x 26.4 = 13.2

By creating a proportion based on the heights shown in the photo and Alice's actual height, we can calculate that Alice's dog's actual height is 13.2 inches, which is option A.

To find out how tall Alice's dog is in reality, we need to use the ratio of their heights in the photograph to determine the dog's actual height. In the photograph, Alice's height is 2.5 inches and her dog's height is 0.5 inches, while her actual height is 66 inches. This creates a ratio that we can use to calculate the dog's actual height.

First, we set up a proportion where the height of Alice in the photo is to her actual height as the height of the dog in the photo is to the dog's actual height:

2.5 inches / 66 inches = 0.5 inches / x inches

Now we solve for x, which represents the dog's actual height:

x = (0.5 inches * 66 inches) / 2.5 inches

After performing the multiplication and division, we get:

x = 13.2 inches

Therefore, the height of Alice's dog in reality is 13.2 inches, which corresponds to option A.

ANSWER

129

EXPLANATION

The given expression is:

[tex]4^2×2^3- (14-16)÷2[/tex]

Deal with the parenthesis first.

[tex]4^2×2^3- ( - 2)÷2[/tex]

[tex]4^2×2^3 + 2÷2[/tex]

Deal with exponents,

[tex]16×8+ 2÷2[/tex]

Divide now

[tex]16×8 + 1[/tex]

Multiply

[tex]128 + 1 [/tex]

You can now add to get

[tex]129[/tex]

The order of operations is PEDMAS

B) is the answer because 22+22+18+18 will equal 80 and 22-18 is five

Answer:

Miguel

Step-by-step explanation:

Since the pie is round it is a circle, and all circles have 360 degrees in total. Miguel cut 1/4 of the pie and 1/4 x 360 = 90. 90 is greater than 60.

Answer:

Miguel

Explanation:

Think of the 1/4 as 90 degrees.

An entire circle is 360 degrees. A quarter of that is 90 or 1/4.

Hope this picture helps.

From the equation given, each ticket costs 50 cents as expressed in 0.50x. Every time you increase x by one, the total cost increases by 50 cents

Answer

A) $10

Step-by-step explanation:

Answer:

x = 4, y = 2

Step-by-step explanation:

Given the 2 equations

5x + 2y = 24 → (1)

5y = x + 6 → (2)

Rearrange (2) expressing x in terms of y by subtracting 6 from both sides

x = 5y - 6 → (3)

Substitute x = 5y - 6 into (1)

5(5y - 6) + 2y = 24 ← distribute and simplify left side

25y - 30 + 2y = 24

27y - 30 = 24 ( add 30 to both sides )

27y = 54 ( divide both sides by 27 )

y = 2

Substitute y = 2 into (3) for corresponding value of x

x = (5 × 2) - 6 = 10 - 6 = 4

Side length of cube = 9 feet

The side length of the cube is 9 feet. Thus, the third option is correct.

To find the side length of a cube when given its volume, we can use the formula for the volume of a cube:

Volume = side length³

In this case, we know that the volume of the cube is 729 cubic feet.

Let's substitute this value into the formula:

729 = side length³

To find the side length, we need to take the cube root of both sides of the equation:

∛729 = ∛(side length³)

Simplifying:

9 = side length

Therefore, the side length of the cube is 9 feet.

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Answer:

[tex]0.056\ \frac{miles}{second}[/tex]

Step-by-step explanation:

we know that

The rate is equal to

[tex]200\ \frac{miles}{hour}[/tex]

Remember that

[tex]1\ hour=3,600\ seconds[/tex]

substitute

[tex]200\ \frac{miles}{hour}=(200/3,600)\ \frac{miles}{seconds}=0.056\ \frac{miles}{second}[/tex]

Answer:

[tex]x^3+x^2-5x+28[/tex]

Step-by-step explanation:

since a=lw, the area is (x^2-3x+7)(x+4)

1. distribute parentheses [tex]\left(x^2-3x+7\right)\left(x+4\right)=x^2x+x^2\cdot \:4+\left(-3x\right)x+\left(-3x\right)\cdot \:4+7x+7\cdot \:4[/tex]

2. apply +(-a)=-a rule [tex]x^2x+4x^2-3xx-3\cdot \:4x+7x+7\cdot \:4[/tex]

3. Simplify

    Steps to simplify:

[tex]x^2x=x^3[/tex]

[tex]3xx=3x^2[/tex]

[tex]3\cdot \:4x=12x[/tex]

[tex]7\cdot \:4=28[/tex]

[tex]x^3+4x^2-3x^2-12x+7x+28[/tex]

4. Add like terms [tex]=x^3+4x^2-3x^2-5x+28[/tex]

5. Add like terms [tex]=x^3+x^2-5x+28[/tex]

the area of the rectangle as a single polynomial in simplest form is  x³+x²-5x+28.

Area is the space occupied by a plane object.

To calculate the area of a rectangle, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the area of the rectangle as a single polynomial in simplest form is  x³+x²-5x+28.

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3n -10 ≥ 2

Add 10 to each side:

3n ≥ 12

Divide both sides by 3:

n ≥12/3

n≥4

The dot would be solid and located on the number 4, with the line and arrow moving/ pointing to the right.

1. n >2

2. n≤3

3. n<4

4. n≥5

Answer: 10

Step-by-step explanation:

15 - 5 is 10.

Answer: 10

Step-by-step explanation:

From the given box plot in the picture, we can see that the least observation  from the data = 4.5

The largest observation from the data = 14.5

We know that the range of data tells the difference between the largest observation and the lowest observation.

[tex]\text{ i.e. Range=Largest observation - Least observation}\\\\=14.5-4.5=10[/tex]

Therefore, the range of the data = 10

Answer:

$2,239.66

Step-by-step explanation:

To find the amount of reimbursement, convert miles to km by multiplying 1564 by 1.609 since 1 mile = 1.609 km.

He drive 1564(1.609)=2,516.476 km.

Multiply this distance by $0.89 per km.

2516.476(0.89)=$2,239.66