surface area of composite figures

Answer:

C. y = 2x + 2

Step-by-step explanation:

There are 2 points on the line (0,2) and (-3,-4)

from (-3,-4) to (0,2), rise over run is 6/3 so slope is 2

You can calculate it too

m = (y2-y1)/(x2-x1)

m = (-4 - 2)/(-3 - 0) = -6/-3 = 2

Using m = 2, x = 0, y = 2

y = mx + b

2 = 2(0) + b

b = 2

therefore

y = 2x + 2

Answer: Rotation

Step-by-step explanation:

Answer: -.5 OR -.1, -.2, -.3, -.4, -.5, -.6,-.7,-.8,-.9

Step-by-step explanation: The simple answer is -.5, it is right in the middle of 0 and -1. The answer number is everything in between.

Answer:

- 6x² + 8x

Step-by-step explanation:

- 2x(3x - 4) ← multiply each term in the parenthesis by - 2x

= - 6x² + 8x

The total goal distance Sarah run is 7/8.

The distance covered by Sarah is found to be more than Tori.

A number's exponent indicates what many times a number has been multiplied by itself. For instance,  2×2×2×2 can be composed as 2⁴.

If a fraction does have a negative exponent, we take its reciprocal to make this same exponent positive.

If a fraction does have a negative exponent, we take its reciprocal to create the exponent positive.

Some properties of exponents are-

Now, as pet the given question;

Tori has covered 2⁻³ of the total distance;

Thus, it can be written as;

= 1/2³

= 1/8

Lets consider the total distance covered by both of them is 1.

Then, the distance covered by Sarah will be;

= 1 - 1/8

= 7/8

Thus, the distance covered by Sarah is 7/8.

As, 7/8 > 1/8

Therefore, the distance covered by Sarah is more than Tori.

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Answer:

177

Step-by-step explanation:

An integer is a negative or positive whole number. any number greater or equal to 5 you round up the the nearest whole number

Hope this helps.

"decimals are not included in the set of integers." with this information you can infer that you need to round to the nearest whole number, therefore 176.912 would be round to 177 because the decimal in the tenth place is 5 or above (9) so you round UP.

The another point is  (2,23) of the function y(x).

What does regression analysis mean?

The given Regression is -

y (X) = 30 - 3. 5 x .......................(1)

now   when x = 0 , y(x) = 30    ..........................(1)

thus ,   y- intercept  = 30

one point is    ( 0 , 30 )

Again taking   x = 0  we get

             y(x) =   30 - 3. 5  x 2    by (1)

               y(X) = 23

Thus the another point is  (2,23).

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Answer: $48.17

Step-by-step explanation:$148.68-$24.32=  $124.36

$124.36-$37.53=  $86.83

$135 -$86.83=$48.17

So he needs forty-eight dollars and 17 cents.                                            

Answer:

x = 35° , y = 125°

Step-by-step explanation:

y and 55° lie on the straight line and sum to 180° , that is

y + 55° = 180° ( subtract 55° from both sides )

y = 55°

x and 55° form a right angle and sum to 90° , that is

x + 55° = 90° ( subtract 55° from both sides )

x = 35°

Answer:

20

Step-by-step explanation:

the line equals 180 degrees total.

so subtract the angle we already know from the total...

180- 100=80

then, make an equation with the last two variables since we know both of them added together should equal 80

80=x +3x

Combine like terms

80=4x

Divide by 4

20=x

Answer:

[tex]\textsf{1.} \quad s=\dfrac{8r}{9}[/tex]

[tex]\textsf{2.} \quad s=4[/tex]

[tex]\textsf{1.} \quad x=y(w+z)[/tex]

[tex]\textsf{2.} \quad x=10[/tex]

Step-by-step explanation:

Question 1

1.  Solve for s:

[tex]\implies 2r = \dfrac{5s}{2}-\dfrac{s}{4}[/tex]

[tex]\implies 2r = s\left(\dfrac{5}{2}-\dfrac{1}{4}\right)[/tex]

[tex]\implies 2r = s\left(\dfrac{10}{4}-\dfrac{1}{4}\right)[/tex]

[tex]\implies 2r = s\left(\dfrac{9}{4}\right)[/tex]

[tex]\implies 4(2r) = 9s[/tex]

[tex]\implies 8r = 9s[/tex]

[tex]\implies s=\dfrac{8r}{9}[/tex]

2.  When r = ⁹/₂ :

[tex]\implies s=\dfrac{8\left(\frac{9}{2}\right)}{9}[/tex]

[tex]\implies \dfrac{8}{9} \times \dfrac{9}{2}[/tex]

[tex]\implies \dfrac{8 \times9}{9 \times2}[/tex]

[tex]\implies s=\dfrac{72}{18}[/tex]

[tex]\implies s=4[/tex]

Question 2

1.  Solve for x:

[tex]\implies w=\dfrac{x}{y}-z[/tex]

[tex]\implies w+z=\dfrac{x}{y}[/tex]

[tex]\implies y(w+z)=x[/tex]

[tex]\implies x=y(w+z)[/tex]

2.  When x = -8,  y = -5,  z = 6:

[tex]\implies x=-5(6+(-8))[/tex]

[tex]\implies x=-5(6-8)[/tex]

[tex]\implies x=-5(-2)[/tex]

[tex]\implies x=10[/tex]

The mean and the median value of the given data set is 12.62 and 6.

According to the statement

We have to find that the mean and the median of the following data.

So, For this purpose, we know that the

The mean is found by adding all of the numbers together and dividing by the number of items in the set.

And

The median is the middle number in a sorted, ascending or descending list of numbers

From the given information:

The data set are:

1,20,1, 49, 16, 5, 3, 6

Then

According mean definition,

Mean = 1+20+1+ 49+ 16+ 5+ 3+6/8

Mean = 101/8

Mean = 12.625

Then

The data set is 1,3,5,6,16,20,49.

Median = 8 terms /2

Median = 4th term

Median = 6.

So, The mean and the median value of the given data set is 12.62 and 6.

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Ella's bait and tackle shop sells 230,385 in April and May.

Based on the given conditions, formulate:

Bait and tackle sold in 128,278 live worms in April

Bait and tackle sold in 102,278 live worms in May

So the total number of Bait and tackles sold in April and May =

                                                                                             =128,107+102,278

                                                                                              = 230,385

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nxhudkdodisuhaiioavsbos

Answer:

-2 <= y <= 4

Step-by-step explanation:

-3 <= 2y + 1 <= 9

-4 <= 2y <= 8

-2 <= y <= 4

Answer:

-2 <= y <= 4

Step-by-step explanation:

-3 <= 2y + 1 <= 9

-4 <= 2y <= 8

-2 <= y <= 4

Interval and ratio scales of data measurement are associated with quantitative data.

Data measurement:- Data measurement is the way in which data can be subcategorized to analyze the data properly. Data can be classified into two types-

Thus we can conclude that, Interval and ratio scales of data measurement are associated with quantitative data.

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By critically observing the graph shown above, the set of ordered pairs include the following:

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.

By critically observing the graph shown above, we can logically deduce that the set of ordered pairs include the following:

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Answer:18.2055

Step-by-step explanation:−6.87(−2.65)=−6.87*−2.65=18.2055

Answer:

111111111/200000000

An equivalent expression for 4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power is 2d⁻³/11d⁻⁹

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.

Translating the word problem into an algebraic expression, we have;

4 times d raised to the negative third power = (4 × d)⁻³ = 4d⁻³

22 times d raised to the ninth power = (22 × d)⁻⁹ = 22d⁻⁹

Next, we would write the equation as a quotient:

Expression = 4d⁻³/22d⁻⁹

Expression = 2d⁻³/11d⁻⁹

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Answer:

Step-by-step explanation:

Mistake in step 3 the (2x+1) and the (x-1) both cancel out but the other binomials (x + 3) and (x - 3) are different so don't cancel out.

Step 3 should be 3(x-3) / 4(x+3)

3 should not be an excluded value.

Answer:

Step-by-step explanation:

Let x represent the number of weeks a population of the bacteria increases. Then, we have the number of bacteria is molded by the expression of 900*3^x. By, the given expression and when we assigned a value of x=2. Then we have 900*3² .

Answer:

174

Step-by-step explanation:

absolute value means the distance from zero.  Distance is always measured with a positive number.  If you asked me how far I lived from my work, I would never say -12 miles away.  If I was going or coming to work, the distance would be the same 12 miles.

134 + 4 + 35 = 174

Answer:

Step-by-step explanation:

y=csc(x)      x∈ [-2,2]

[tex]A.\\\displaystyle\\Increasing: \ [-2,-\frac{\pi }{2})U(\frac{\pi }{2},2]\\\\Decreasing:\ (-\frac{\pi }{2},0)U(0,\frac{\pi }{2} ) \\\\B.\\\\Relative\ min:\ 1\\\\Relative \ max:\ -1[/tex]

                                           Watching the graph:

Answer:

[tex]\textsf{Increasing}:\left[-2,-\dfrac{\pi}{2}\right) \textsf{ and }\left(\dfrac{\pi}{2},2\right][/tex]

[tex]\textsf{Decreasing}:\left(-\dfrac{\pi}{2}, 0\right) \textsf{ and }\left(0, \dfrac{\pi}{2}\right)[/tex]

[tex]\textsf{Relative min}: \left(\dfrac{\pi}{2},1 \right)[/tex]

[tex]\textsf{Relative max}: \left(-\dfrac{\pi}{2},-1 \right)[/tex]

Step-by-step explanation:

Part A

Given function:

[tex]f(x)=\csc (x), \quad -2\leq x\leq 2[/tex]

[tex]\csc(x)=\dfrac{1}{\sin(x)}[/tex]

Therefore, the function f(x) is undefined when sin(x) = 0, leading to vertical asymptotes at the value of x where sin(x) = 0.

[tex]\sin(x) = 0 \textsf{ at }x = 0\pm 2 \pi n, \pi \pm 2 \pi n[/tex]

Therefore, f(x) has a vertical asymptotes at x = -2π, -π, 0, π, 2π etc.

Where the graph of the sine function increases, the graph of the cosecant function decreases.

Where the graph of the sine function decreases, the graph of the cosecant function increases.  

The sine function increases on the intervals:

[tex]\left(-\dfrac{\pi}{2}\pm 2 \pi n, \dfrac{\pi}{2}\pm 2 \pi n\right)[/tex]

and decreases on the intervals:

[tex]\left(\dfrac{\pi}{2}\pm 2 \pi n, \dfrac{3\pi}{2}\pm 2 \pi n\right)[/tex]

Therefore, for the interval -2 ≤ x ≤ 2, the cosecant function f(x):

Increases on the intervals:

[tex]\left[-2,-\dfrac{\pi}{2}\right) \textsf{ and }\left(\dfrac{\pi}{2},2\right][/tex]

Decreases on the intervals:

[tex]\left(-\dfrac{\pi}{2}, 0\right) \textsf{ and }\left(0, \dfrac{\pi}{2}\right)[/tex]

Part B

The relative minimums of the graph of the sine function are the relative maximums of the graph of the cosecant function.

The relative maximums of the graph of the sine function are the relative minimums of the graph of the cosecant function.

The sine function has a range of -1 ≤ sin(x) ≤ 1.

Therefore, its minimum points are when sin(x) = -1 and its maximum points are when sin(x) = 1.

[tex]\sin(x)=-1 \implies x=\dfrac{3\pi}{2}\pm 2 \pi n \implies \textsf{Minimum points}: \left(\dfrac{3\pi}{2}\pm 2 \pi n ,-1 \right)[/tex]

[tex]\sin(x)=1 \implies x=\dfrac{\pi}{2}\pm 2 \pi n \implies \textsf{Maximum points}: \left(\dfrac{\pi}{2}\pm 2 \pi n,1 \right)[/tex]

Therefore, the minimum and maximum points of the cosecant function in the given interval -2 ≤ x ≤ 2 are:

[tex]\textsf{Relative min}: \left(\dfrac{\pi}{2},1 \right)[/tex]

[tex]\textsf{Relative max}: \left(-\dfrac{\pi}{2},-1 \right)[/tex]

Note in the attached graph:

By isolating the variable, we will see that the solution of the linear equation is v = -9

Here we have the following linear equation:

v/9 - 7 = -8

Where we can see that the variable is v. To solve this, we need to perform operations in both sides of the linear equation in a way such that the variable is isolated in one of the sides.

Adding 7 in both sides we get:

v/9 - 7 + 7 = -8 + 7

v/9 = -1

Now we multiply both sides by 9:

(v/9)*9 = -1*9 = -9

v = -9

We conclude that the solution of the linear equation is v = -9.

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