1. Find the lateral area and surface area of the given prism. Round your
answer to the nearest whole number

The two angles shown are vertical angles which men they equal each other:

9n = 8n + 8

Subtract 8n from both sides:

N = 8

->Solution

i) 9n = 8n+8 [ V.O.A. vertically opposite angles ]

or, 9n - 8n = 8

or, n = 8

therefore, value of n is 8

Now,

ii) 9n = 9 X n = 9 X 8 = 72 degrees

iii) 8n + 8 = 8 X 8 + 8 = 64 + 8 = 72 degrees

Answer:

1 year and a half or 18 months

Step-by-step explanation:

A rectangle is a 2-dimensional shape having 4 sides. The width of the rectangle is 5x^2 + 4x - 6

A rectangle is a 2-dimensional shape having 4 sides

The formula for calculating the area of the rectangle is given as:

A = lw

Given the following

Area = 5x^3+19x^2+6x-18
Length = x + 3

Using the synthetic division:

           5x^2 + 4x - 6

x + 3 |  5x^3+19x^2+6x-18

           5x^3 + 15x^2

________________________

                     4x^2 + 6x
                     4x^2 + 12x

__________________________

                                -6x - 18
                                -6x - 18

Hence the width of the rectangle is 5x^2 + 4x - 6

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Answer:

A

Step-by-step explanation:

Answer:

Out of the two sums, B is the closest to the value to 1/2.

Steps for A:

Change 1/3 to 5/15

2+5/15

= 7/15

7/15 as a decimal: 0.46

0.50 - 0.46 = 0.04

Steps for B:

Change 6/7 to 18/21

Change 1/3 to 7/21

18-7/21

= 11/21

11/21 as a decimal: 0.52

0.52 - 0.50 = 0.02

Answer:

this is my answer

5n (5n - 1)

4n (8 + 7) - 20

Answer:

[tex]a_{16}=26.5[/tex]

Step-by-step explanation:

Arithmetic series:  [tex]a_n=a+(n-1)d[/tex]

Sum of arithmetic series:  [tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

(where a is the first term and d is the common difference)

Given:

[tex]\implies a_{25}=44.5[/tex]

[tex]\implies a+(25-1)d=44.5[/tex]

[tex]\implies a+24d=44.5[/tex]

[tex]\implies S_{30}=765[/tex]

[tex]\implies \dfrac{30}{2}[2a+(30-1)d]=765[/tex]

[tex]\implies 30a+435d=765[/tex]

Rewrite [tex]a+24d=44.5[/tex] to make a the subject:

[tex]\implies a=44.5-24d[/tex]

Substitute found expression for a into [tex]30a+435d=765[/tex] and solve for d:

[tex]\implies 30(44.5-24d)+435d=765[/tex]

[tex]\implies 1335-285d=765[/tex]

[tex]\implies 285d=570[/tex]

[tex]\implies d=2[/tex]

Substitute found value of d into [tex]a=44.5-24d[/tex] and solve for a:

[tex]\implies a=44.5-24(2)=-3.5[/tex]

Therefore:

[tex]\implies a_{16}=-3.5+(16-1)2=26.5[/tex]

Answer:

900,000

Explanation:

1 million is 10*100,000, so subtracting 100,000 from it is just like subtracting 1 from 10-- just much much larger numbers.

Answer:

99,900,000

Step-by-step explanation:

Answer:

1. growth

2. decay

3. growth

4. decay

Answer:

Step-by-step explanation:

Growth: anything in the parenthesis that is greater than 100% or 1 | > 1

Decay: anything in the parenthesis that is less than 100% or 1  | < 1

(1 + r) = growth

(1 - r) = decay

r = rate of growth

[tex]f(x)=485(1.98)^t < ==|(1+0.98=1.98)| > 1= > growth\\[/tex]

[tex]f(x)=\frac{1}{4}(0.18)^t < ==|(1-0.82=0.18)| < 1= > decay[/tex]

[tex]f(x)=46(1.001)^t < ==|(1+0.001=1.001)| > 1= > growth[/tex]

[tex]f(x)=0.08(0.34)^t < ==|(1-0.66=0.34)| < 1= > decay\\[/tex]

Hope this helps!

Answer:

The correct answer is C: [tex]t\leq 58[/tex]

Step-by-step explanation:

In order to solve this problem, start by first creating an inequality to represent the situation above. The price of the hours and the supply fee can't go over $1,500, so you can set the representative inequality as [tex]25t+50\leq 1500[/tex]. Now solve the inequality, and you will get [tex]25t+50\leq 1500[/tex] => [tex]25t\leq 1450[/tex] => [tex]t\leq 58[/tex] hrs. So C is the correct answer.

Answer:

The answer is C.t is less than or equal to 58.

Step-by-step explanation:

Let x = Number of tutoring sessions

Supplies + tutoring cost = total cost

50 + 25x = 1500

Now need to solve:

Subtract 50 from both sides and simplify

50/ + 25x - 50 = 1500 - 50

25x = 1450

Divide both sides by 25 and simplify

25x/25 = 1450/25

Therefore,

[tex]x\leq 58[/tex]

Answer:

D'=(1,-1)

Step-by-step explanation:

If you dialate by 1/2 then all you have to do, is find half of point D. so point D sits at (2,-2) and half of 2 would be (1,-1).

The dilated coordinates of D(2,-2) = D'(1,-1).

Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.

From the graph,

we interpreted the coordinates of D (2,-2).

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

To find the dilation of transformation

The basic formula to find the scale factor of a dilated figure is:

Scale factor = coordinates of the new shape ÷ coordinates of the original              shape.

That means,

multiply the factor to the coordinates.

D' = (2 x 1/2, -2 x 1/2)

D' = (1, -1)

Therefore, the coordinates after the dilation D' (1,-1).

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1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

1) Given that to make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury, to determine how many hours does it take Mercury to complete a full rotation, the following calculation must be performed:

2) Given that a plant grows up to 0.89 ft per day, to determine how fast in inches per hour can this weed grow, the following calculation must be performed:

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Answer:

1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

Step-by-step explanation:

~Denki Kaminari here~

Answer:

its a best fit line

Step-by-step explanation:

because it is in-between the blue and yellow points, that is what i assume the answer is.

hope this helps :D

Answer:

oblique line.

Step-by-step explanation:

hops this helps

Answer:

≈5.15 [cm].

Step-by-step explanation (English version):

1) Capacity - V - 1000 cm³;

height - h - 12 cm;

radius - r - ?

2) the initial formula is:

V=π*r²*h, where π=3.1415;

then final formula of the required r is:

[tex]r=\sqrt{\frac{V}{\pi *h}};[/tex]

3)   [tex]r=\sqrt{\frac{1000}{3.1415*12}} =\sqrt{26.5266} =5.15[cm].[/tex]

Answer:

Step-by-step explanation:

Answer:

15 minutes and 51 seconds

Step-by-step explanation:

155/30 = 5.17

5.17 x 3 = 15.51

It will take the dog approximately 15.5 minutes to lap enough water to consume 155 ounces.

Here, we have to predict how many minutes a dog will lap water to consume 155 ounces per day, we can set up a proportion based on the given information:

1 dog laps water every 3 minutes and gets 30 ounces.

Therefore, in 1 minute, a dog laps 30/3 = 10 ounces.

Now, we want to find out how many minutes it takes for the dog to consume 155 ounces:

Let x be the number of minutes the dog laps water to consume 155 ounces.

Proportion:

(Ounces lapped in x minutes) / (Ounces lapped in 1 minute) = (Total ounces needed) / (Ounces lapped in 1 minute)

(10x) / 10 = 155 / 1

Simplify the equation:

10x = 155

Now, solve for x:

x = 155 / 10

x = 15.5

So, it will take the dog approximately 15.5 minutes to lap enough water to consume 155 ounces.

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Answer :

59+55+854+456+456+7894=9,774

Answer:

6+8 is 14 and 14/2 is 7.

Step-by-step explanation:

the answer is 7

Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.

In this problem, σ is not​ known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.

Using a t-distribution calculator, considering a confidence level of 99​% and 56 - 1 = 55 df, the critical value is t = 2.6682.

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Dilation involves changing the size of a figure

The dilation rule of a figure in the coordinate plane by a scale factor of 5 is (b) (x,y) [tex]\to[/tex] (5x,5y)

The scale factor (k) is given as:

k = 5

Assume the coordinates of the figure is (x,y)

The dilation rule would be:

(x,y) [tex]\to[/tex] k(x,y)

Substitute 5 for k

(x,y) [tex]\to[/tex] 5(x,y)

Expand

(x,y) [tex]\to[/tex] (5x,5y)

Hence, the dilation rule is (b) (x,y) [tex]\to[/tex] (5x,5y)

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If the coordinate plane is dilated by a scale factor of 5, hence the resulting coordinate of the preimage will be (5x, 5y)

Dilation is a transformation technique that changes the size and shape of an object in an xy plane

If the coordinate point (x, y) is dilated by a factor of "k", the resulting coordinate of the preimage will be (kx, ky)

If the coordinate plane is dilated by a scale factor of 5, hence the resulting coordinate of the preimage will be (5x, 5y)

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Answer:

y ≥ -x - 4

Step-by-step explanation:

[tex]\sf let (x_1,y_1)=(-4,0)\\\\let (x_2,y_2)=(0,-4)[/tex]

[tex]\sf slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-0}{0-(-4)}=-1[/tex]

Slope-point form of linear equation:

[tex]\sf \implies y-y_1=m(x-x_1)[/tex]

[tex]\sf \implies y-0=-1(x-(-4))[/tex]

[tex]\sf \implies y=-x-4[/tex]

For ≤ or ≥ graph a solid line

For < or > graph a dashed line

For shading above the line: y ≥ or y >

For shading below the line:  y ≤ or y <

Therefore, as the line is solid and shading is above the line:

[tex]\sf y\geq -x-4[/tex]

Answer: y ≥ -x - 4

Step-by-step explanation:

The correct statement about the data collected by Ms. Pearson is that there is no association between a student's absences and the final average grades.

The equation that represents a linear relationship is: a + bx

Where x represents the rate of increase. Thus, for linear equations, the functiion increases by a constant term.

Looking at the table, the average final grade does not increase by a constant term.

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Answer:

815.76 is your answer

Step-by-step explanation:

Answer:

heyy do you still need help

Step-by-step explanation:

Answer:

An equation for the slope and y-intercept would be y=-3/5x-3

Step-by-step explanation:

Remember the formula for this, y=mx+b, in which the m stands for the slope and the x would be next to the slope always because the slope is ever changing, and the b stands for the y-intercept or in other words, where the line crosses the y-axis not the x-axis.

Answer:

y = -3/5x - 3

Explanation:

The format of slope-intercept is:

[tex]\sf{y = mx + b}[/tex]

Where:

So to write the equation, I just plug the data into y = mx + b:

[tex]\sf{y=-\dfrac{3}{5}x+(-3)}\\\\\sf{y=-\dfrac{3}{5}x-3}[/tex]

Hence, the equation is y = -3/5x - 3.

Answer: Space vessels must carry heavy equipment but also minimize weight.

Step-by-step explanation:

i got it right on a p e x

Answer: Alternate interior angles theorem

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

You can't add without first doing the terms of 2^3---(PENDAS)

Answer:

No

Step-by-step explanation:

x + 1 is not a factor of the polynomial because the remainder is 2 and not 0