15 Which expression is equivalent to 4(u + 3)?
A 40 + 3
© 40 + 12u
B 40 + 7
D 4u + 12

To create the dot plot you will list the data in order and use the given numbers to create the box plot.

8.10, 8.20, 8.30, 8.32, 8.34, 8.50, 8.50, 8.50, 8.55, 8.60, 8.60, 8.65, 8.65, 8.90

Lower extreme: 8.10

Upper extreme: 8.90

Median: 8.50

1st/lower quartile: 8.32

3rd/upper quartile: 8.60

Please see the attached picture for the boxplot.

Answer:

DWest I think

Step-by-step explanation:

Someone else asked this and this is what they think and it seems right

Answer:

133

Step-by-step explanation:

slaves is the correct answer

Answer:

38

Step-by-step explanation:

16 - 10 = 6

21 - 16 = 5

26 - 21 = 4

31 - 26 = 5

31 + 6 = 38

The next missing number is 38.

From there, continue the pattern.

The expression y = 7 + 2x can be substituted into the first equation to find the variable "x"

System of equation are made of two or more equations with unknowns

Given the system of equation

4x=5-2y

y-2x=7

From equation 2:

y = 7 + 2x

The expression y = 7 + 2x can be substituted into the first equation to find the variable "x"

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By using the definition of the inverse cosine function, we will see that:

[tex]cos^{-1}(0) = pi/2[/tex]

We have the expression:

[tex]cos^{-1}(0) = \frac{pi}{?}[/tex]

Remember that if:

[tex]cos(x) = y\\\\cos^{-1}(y) = x[/tex]

Then, in what do we need to evaluate the cosine function to get an output equal to zero?

[tex]cos( pi/2) = 0[/tex]

Then:

[tex]cos^{-1}(0) = pi/2[/tex]

Then we can replace the question sign with a 2.

If you want to learn more about the cosine function, you can read:

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Hi!

[tex]A=\pi r^2[/tex]

We will start by solving for the area of the entire figure.

Plugin the values into the circle area formula. We will use 3.14 for pi:

[tex]A=3.14(4)^2[/tex]

Simplify:

[tex]A=50.24[/tex]

Now, this is the area of the entire circle, but we only want that certain shaded region.

We know that a circle has a total of 360 degrees, and the shaded sector is simply 80 degrees.

We can divide to see how much of the circle is shaded:

80 / 360 = 0.22...

Now, we can take this number and multiply it by 50.24 (our answer from above) to get the area of the shaded sector:

0.22 * 50.24 = 11.16

For a similar problem, see:

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Answer:

101430

Step-by-step explanation:

Evaluate 5(a•4)+ b, when a = 1/3 and b=12

The Answer is

hope it's help hshshs

a. The expression for the tension in the string is T = mg

b. The expression for the tension in the chain is T = 2mg

To solve the problem, we need to know what tension is.

This is the opposing force in a stretched material.

The expression for the tension in the string is T = mg

Since the string supports the weight of the object, the tension in the string equals the weight of the particle.

Let

So, T = W

T = mg

So, the expression for the tension in the string is T = mg

The expression for the tension in the chain is T = 2mg

Since the chain supports both strings, the tension in the chain equals the tension in both strings.

Let

So, T' = T + T

T' = 2T

T' = 2W

T' = 2mg

So, the expression for the tension in the chain is T = 2mg

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Answer:  [tex]92 \text{ yd}^2[/tex]

=======================================================

Work Shown:

[tex]A = \frac{h(b_1+b_2)}{2}\\\\A = \frac{8(19+4)}{2}\\\\A = \frac{8(23)}{2}\\\\A = \frac{184}{2}\\\\A = 92\\\\[/tex]

The [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel bases, while h is the height perpendicular to each base.

The units are in square yards, abbreviated as [tex]\text{yd}^2[/tex]

Think of a 1 yard by 1 yard square that has an area of [tex](1 \text{ yd})*(1 \text{ yd}) = (1)^2(\text{yd})^2 = 1 \text{ yd}^2[/tex]

The side of 9 yards is never used and put in there as a distraction.

Answer:

13 this is the ansewer to this

Answer: See below

Step-by-step explanation:

To find the factor,

f(x) = 0

[tex]\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}[/tex]

So,

x = 0 multiplicity 2

x = -6 multiplicity 1

x = 6 multiplicity 1

For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis

Therefore,

x = 0 multiplicty 2, Touch

x = -6 multiplicty 1, Cross

x = 6 multiplicty 1, Cross

Answer:

b

Step-by-step explanation:

Answer:

Vertex: (3,5)

Focus: (3,8)

Directrix: y = 2

Step-by-step explanation:

Get y by itself by adding 5 over to the other side. The equation is now y = 1/12(x-3)^2 + 5.

The value inside of the parentheses is -3. Since it's within the parentheses, switch the signs for the x value of the vertex. The "+ 5" represents the y value. Therefore the vertex is (3,5).

The value "a" on the parabola is 1/12. To find the distance from the vertex to the focus/directrix, use the equation a = 1/4p. 1/12 = 1/4p. p = 3. This parabola opens up, so "p" must be added onto the y value of the vertex for the focus. The focus is therefore (3,8).

For the directrix, subtract "p" from the y value of the vertex. The directrix is a horizontal line at y = 2.

Answer:

Option C, no real solutions

Step-by-step explanation:

Step 1:  Subtract 140 from both sides

[tex]25z^2 + 140 = -29[/tex]

[tex]25z^2 + 140 -140 = -29 -140[/tex]

[tex]25z^2 = -169[/tex]

Step 2:  Divide both sides by 25

[tex]\frac{25z^2}{25} = \frac{-169}{25}[/tex]

[tex]z^2 = -6.76[/tex]

Step 3:  Square root both sides

[tex]\sqrt{z^2} = \sqrt{-6.76}[/tex]

Since we are trying to square root a negative it would cause imaginary solutions so in conclusion we have no real solutions.

Answer:  Option C, no real solutions

Answer:

1/216

Step-by-step explanation:

A dice (assuming it is from 1-6) has 6 faces. There are 4 dices.

equation will be

6*6*6=answer

Multiply 6 three times by itself because there are 4 dices. That is because One die would be 1

Two would be 1/6

Three would be 1/36

And four would be the ...

Asnwer=216

Answer:

$103

Step-by-step explanation:

T = 6w + 55

T = 6(8) + 55

T = 48 + 55

T = 103

Answer: I believe that by helping or answering others you can get get questions, but I do know there is a limited amount of questions being able to ask before paying monthly. Hope this helps

Answer:

What you have to do is answer peoples question to gain more

Step-by-step explanation:

Answer: 1, 15families, 26cars, Mean 1.7

Step-by-step explanation:2families had no car. 5families had 1 car, 4families had 2cars, 3families Had 3cars, 1 family had 4cars

Total 15families and 26 cars

Modal number of cars is 1, owned by 5families

length = 3 1/3 m

hope it helps...!!!

Answer:

About 53022 bacteria present.

Step-by-step explanation:

We can use the continuous growth formula:

[tex]\displaystyle P = A e^{kt}[/tex]

Where k is some constant.

With an initial population of 5000, it grew to 6500 after two hours.

In other words, P = 6500 when A = 5000 and t = 2:

[tex]\displaystyle (6500) = (5000)e^{k(2)}[/tex]

Solve for k:

[tex]\displaystyle \begin{aligned} 6500 & = 5000e^{2k} \\ \\ e^{2k} & = \frac{6500}{5000} = \frac{13}{10} \\ \\ \ln\left(e^{2k}\right) & = \ln\left(\frac{13}{10}\right) \\ \\ 2k & = \ln\frac{13}{10} \\ \\ k & = \frac{1}{2}\ln\frac{13}{10}\end{aligned}[/tex]

Therefore, our equation is:

[tex]\displaystyle P = \bigg{5000e}^{\dfrac{1}{2}\ln\dfrac{13}{10}t[/tex]

After 18 hours, t = 18. Hence:

[tex]\displaystyle \begin{aligned} P(18) & = \bigg{5000e}^{\dfrac{1}{2}\ln\dfrac{13}{10}(18)} \\ \\ & \approx 53022\end{aligned}[/tex]

Therefore, after 18 hours, there will be about 53022 bacteria present.

The book value at the end of year 2 of the equipment depreciated using the sum-of-the-years’-digits method is $65,560.

Depreciation is a method used to expense the cost of an asset. Book value is the cost of the asset less the accumulated depreciation.

Sum-of-the-year digits = (remaining useful life / sum of the years ) x  (Cost of asset - Salvage value)

Depreciation expense in year 1:

Sum of the years = 1 +2 +3 +4 + 5 + 6 + 7 + 8 + 9 + 10+ 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 210

Undepreciated life of the asset = 20

(20 / 210) x ($79,600 - 4,000) = 7200

Depreciation expense in year 2:

19 / 210 x ($79,600 - 4,000) = 6840

Book value = 79600 - 7200 - 6840 = $65,560

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Answer:

g(3) = 24

Step-by-step explanation:

The question is essentially asking you, "With an input of 3, what is the output of the function?" To find g(3), plug "3" into the "x" variable. Then, simplify as much as you can.

g(x) = x³ - x

g(3) = (3)³ - (3)

g(3) = 27 - 3

g(3) = 24

Answer:

almonds: $10.20

cashews: $12.40

Step-by-step explanation:

Answer:

14.48=11.99+y

or

y=14.48-11.98

Step-by-step explanation:

it should be one of these (the variable might be different)

y is the price of the drink