Year Population
2011 - 118,000
2017 - 138,000

a. To the nearest hundredth
of a percent, what is the
percent of change from
2011 to 2017?
The percent of change is about a
___% increase.

Answer:

Step-by-step explanation:

Answer: the prism has a surface area with 920

We will see that there are 847,660,528 different ways in which the copies can be stored.

So, we know that the copies can be stored in any of 40 computers, such that each computer can get, at most, one copy.

Then what we need to do is find how many different combinations of 10 computers can we make with the set of 40 computers, this is given by using the combination formula:

[tex]C(40, 10) = \frac{40!}{(40 - 10)!*10!} = \frac{40*39*38*37*36*35*34*33*32*31}{10*9*8*7*6*5*4*3*2} = 847,660,528[/tex]

This means that the 10 computes can be selected in 847,660,528 different ways, so there are 847,660,528 different ways in which the copies can be stored.

If you want to learn more about combinations, you can read:

https://brainly.com/question/11732255

Answer:

[tex]\huge\boxed{\bf\:2r^{7}}[/tex]

Step-by-step explanation:

Let the variable be taken as 'r'.

Then, by raising it to the 7th power, we'll get the result as [tex]\downarrow[/tex]

 [tex]\sf\:Raise \: r \: to \: the \: 7^{th} \: power = r \: with \: 7 \: as \: its \: exponent.\\\\\sf\:Then,\\\dashrightarrow \underline{\bf\:r \: ^{7}}[/tex]

Now, by doubling the result....

[tex]\sf\:To \: double \: the \: result = multiply \: the \: result \: by \: 2.\\\\\sf\:Then,\\\dashrightarrow \sf\:r \: ^{7} \\=\boxed{\bf\: 2r\:^{7}}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

2r⁷

Step-by-step explanation:

Raise r to 7th power

= r⁷

Double it

= 2r⁷

_________

Hope it helps ⚜

Answer:

y = 1, 1.319, 1.024, 0

Step-by-step explanation:

Given equation:

[tex]y=(1+x)\cos x[/tex]

[tex]\textsf{when}\:x=0:[/tex]

[tex]\begin{aligned} \implies y & =(1+0)\cos 0\\\implies y & = 1\end{aligned}[/tex]

[tex]\textsf{when}\:x=\dfrac{\pi}{6}:[/tex]

[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{6}\right)\cos \left(\frac{\pi}{6}\right)\\\implies y & = 1.319\: \sf (3\:dp)\end{aligned}[/tex]

[tex]\textsf{when}\:x=\dfrac{\pi}{3}:[/tex]

[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{3}\right)\cos \left(\frac{\pi}{3}\right)\\\implies y & = 1.024\: \sf (3\:dp)\end{aligned}[/tex]

[tex]\textsf{when}\:x=\dfrac{\pi}{2}:[/tex]

[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{2}\right)\cos \left(\frac{\pi}{2}\right)\\\implies y & = 0\end{aligned}[/tex]

radius : 3.95 ft

[tex]\sf volume \ of \ cone: \dfrac{1}{3} \pi r^2h[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{3} \pi r^2(9) = 147[/tex]

[tex]\hookrightarrow \sf r^2 = \dfrac{147*3}{\pi (9)}[/tex]

[tex]\hookrightarrow \sf r = \sqrt{\dfrac{147*3}{\pi (9)}}[/tex]

[tex]\hookrightarrow \sf r = 3.95 \ ft[/tex]

Answer:

16

Step-by-step explanation:

If x = 3, then all we must do is substitute.

y=7(3)-5

y= 21 -5

y= 16

---

Hope I helped :)

Answer:

A = 201.5 m2

Step-by-step explanation:

[tex]A=76.5+65+60=201.5[/tex]

Hope this helps

Answer: $7,764.85

Step-by-step explanation:

Use the formula for Compound Interest: CI = P(1 + r/n)^nt

CI = 5000(1 + 0.045/1)^10

CI = 5000(1.045)^10

CI ≅ $7,764.85

After 10 years, the balance should be $7,764.85

Answer:

$7764.85

Step-by-step explanation:

Assume the compounding is annual.

F = P(1 + r/n)^(nt)

F = 5000(1 + 0.045/1)^10

F = 7764.85

Answer: $7764.85

Multiply the upper system by -4:

[tex] - 7x - 5y = - 11[/tex]

[tex]7x + 5y = 7[/tex]

[tex]0 = - 3[/tex]

[tex]this \: system \: admits \: no \: solutions[/tex]

Answer:

Place 2 X's above the 2 column, and Place 1 X above the 2 1/4 column, place 4 X's in the 2 3/4 column, place 2 X's in the 3 column,  place 1 X in the 3 1/4 column, and 1 X in the 3 1/2 column.

Step-by-step explanation:

The key with Line plots is to count the amount of that number. As you can see, there are 2 2's in the 2 columns, 2 3's in the three-column, and so on. And the three main steps of making a line graph are these:

1. Count the Number of what you have

2. Always give your graph a title

3. Keep your graph organized. An unorganized graph can cause confusion.

And you're done! I hope this helped!

Answer:

Below in bold.

Step-by-step explanation:

The angle in a regular octagon =  180 - (360/8) = 135.

Using trigonometry  sin (135/2) = k/2 / EF

sin 67.5 = k / 2EF

2EF = k / sin 67.5

EF = k / 2 sin 67.5 = k/1.8478

Perimeter of octagon = 8 * k/1.8478

= 4.33k to the nearest hundredth.

Answer:

Step-by-step explanation:

→1.

Statement : AB ≅AD  (side)

Reason: Given

→2.

Statement : ∡BAC≅∡CAD  (angle)

Reason: Given

→3.

Statement : AC ≅AC  (side)

Reason: Reflexive Property -a side is congruent with itself

→

Statement : ΔABC ≅ΔADC

Reason: Side-Angle-Side Theorem of Congruency

(If two corresponding sides of two triangles are congruent and the corresponding angles between those two sides are congruent then the two triangles are congruent)

Answer:

PLEASE ATTACH THE FIGURE LIKE THIS.....

The surface area of the figure which comprises two rectangular prisms is: 328 in.²

Surface area = 2(wl+hl+hw)

Decompose the given figure into two.

Surface area of the figure = surface area of the top rectangular prism + surface area of the bottom rectangular prism - 2(area of base of the top rectangular prism)

Surface area of top rectangular prism:

l = 6 in.

w = 4 in.

h = 5 in.

Surface area = 2(wl+hl+hw) = 2(4×6 + 5×6 + 5×4) = 148 in.²

Surface area of bottom rectangular prism:

l = 6 in.

w = 9 in.

h = 4 in.

Surface area = 2(wl+hl+hw) = 2(9×6 + 4×6 + 4×9) = 228 in.²

Area of base of the top rectangular prism:

Area = (l)(w) = (6)(4) = 24 in.²

Surface area of the figure = 148  + 228 - 2(24)

Surface area of the figure = 328 in.²

Learn more about surface area of a rectangular prism on:

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Answer:

y=12

Step-by-step explanation:

[tex]slope=\frac{y2-y1}{x2-x1} \\-4=\frac{8-y}{3-2} \\-4=8-y\\y=8+4=12[/tex]

Answer: as a square and four semicircles

Step-by-step explanation:

The composite shape area can be found by first decomposing the figure as: a square and four semicircles.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

to Find the Area of a Composite Figure:

To find the area of a composite figure, the first thing to do is to identify the individual shapes that make up the figure, then find the area of each shape before adding all the areas together.

For a composite figure that is comprised of a square and 4 semicircles, the composite figure would be decomposed into: a square and four semicircles.

Hence, The composite shape area can be found by first decomposing the figure as: a square and four semicircles.

Learn more about composite figures on:

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#SPJ5

Answer:

NY or MZ

Step-by-step explanation:

they are both outside of the parallel lines and on opposite sides of the transverse line

Answer:

720cm^3

Step-by-step explanation:

The volume of the pyramid with a = 9cm, b = 15cm and l = 32cm is 720cm^3.

Answer:

720³ cm

The formula for volume is...

With that information, we should multiply the smaller numbers first.

[tex]B = \frac{1}{2} xy[/tex]

[tex]B = \frac{1}{2}(9)(15) = \frac{135}{2}[/tex]

[tex]V = \frac{1}{3} * \frac{135}{2} * 32 = 45 * 16[/tex]

[tex]V = 720^3~cm[/tex]

Hence, the volume is 720³ cm

Answer:

The answer is 7/30

Step-by-step explanation:

According to counting rules, we use permutation when we want to choose successively and without replacement, as given in this problem

Rule of permutation: nPr = n! /(n-r)!

where: n:objects and r:sample

n of mysteries=9  ;   r of mysteries=1  ;  ⇒ 9P1

n of biographies=7  ;  r of biographies=1  ;  ⇒ 7P1

n of total books=9+7=15  ;  r of total books=2  ;  ⇒15P2

Probability=( 9P1 x 7P1 ) / 15P2 = 49/210 = 7/30

Hope this helps :)

Answer:

232 in^2

Step-by-step explanation:

This rectangle has 6 surfaces:

Front: 10 x 8 = 80

Back: 10 x 8 = 80

Top: 10 x 2 = 20

Bottom: 10 x 2 = 20

Side: 8 x 2 = 16

Side: 8 x 2 = 16

Total surface area: 232 in^2

we know the base of the cone has a diameter of 6, thus its radius must be half that or 3.

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=8 \end{cases}\implies \begin{array}{llll} V=\cfrac{\pi (3)^2(8)}{3}\implies V=24\pi \\\\\\ V\approx 75.4~in^2 \end{array}[/tex]

Answer:

A. The customer paid the same

amount the store owner paid.

Step-by-step explanation:

its adding 25% of the original $180, then immediately decreasing 25% of the original $180, thus the customer paid the same amount the store owner paid.

Answer:

[tex]\Longrightarrow: \boxed{\sf{x=-\dfrac{11}{30} }}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

First, add by 3/4 from both sides.

[tex]\sf{-\dfrac{3}{2}x-\dfrac{3}{4}+\dfrac{3}{4}=-\dfrac{1}{5}+\dfrac{3}{4} }[/tex]

Solve.

⇒ = -3/2x=11/20

Then, you multiply by 2 from both sides.

2(-3/2x)=11*2/20

Solve.

11*2/20

11*2=22

22/20

Common factor of 2.

11/10

-3x=11/10

Divide by -3 from both sides.

[tex]\sf{\dfrac{-3x}{-3}=\dfrac{\dfrac{11}{10}}{-3}}[/tex]

Solve.

[tex]\Longrightarrow:\boxed{\sf{x=-\dfrac{11}{30} }}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:8

Step-by-step explanation: behind the x value (5) there are 2 ages that had a value. You add the two values (5+3) and you get 8.
Final answer is 8.

Using proportions, it is found that 400g = 0.4kg of kiwi fruit contains approximately the same amount of Vitamin C as 1kg of oranges.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Kiwi fruit contains roughly two and a half times as much vitamin C as the same weight of oranges. Hence, if there is 1 kg = 1000g of oranges, the weight of kiwi fruit is given by:

1000/2.5 = 400g = 0.4kg.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

option c iscorrect

Step-by-step explanation:

Speed

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hope it really helps......!!!!!