The cost of producing x units of a product is $1.25 per unit plus $1,000 in flat production costs. If you spend $3,000 on production costs, how many units were produced?

3,000=1.25x+1,000

Answer:

UT

Step-by-step explanation:

Opposite sides of a rectangle are parallel

Answer:

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Answer:

B. f(x) = | x + 61 |

Step-by-step explanation:

An absolute value function is known by single vertical parenthesis demarcating the equation on both sides.

The only option with this indication is option B.

B. f(x) = | x + 61 |

This equation can be solved in two ways;

first; f(x) = - (x + 61)

second; f(x) = x + 61

Answer:

If C and D are supplementary angles then C is 65 and D is 115.

Answer:

65

Step-by-step explanation:

first, find x

180=12x-7+16x+19

180=12x+16x-7+19

180+7-19=28x

168=28x

168/28=x

6=x

Now plug in 6 for x

C=12x-7

C=12*6-7

C=72-7

C=65

Answer:

25.13

C=2πr

C=2(3.14)4

Answer:

Step-by-step explanation:

Look at the graph at the time given and determine how the line will continue based on its current trajectory;

A. T

B. S

C. 20 minutes

Answer:

1 no answer=1/100

2 no answer=1/100

3 no answer=100

Step-by-step explanation:

Answer:

28.35

Step-by-step explanation:

you can use mathswatch or hegarty maths to help u

Answer:

Step-by-step explanation:

Answer:

this is a line with a slope of 1 and a y-intercept of 3

Answer:

a

Step-by-step explanation:

you are correct it is a (decreases) when objects move farther away the strength of the force becomes less.

Answer:

1st quartile: 2.6

2nd quartile or median: 3.1

3rd quartile: 3.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

2

Answer:

The total amount of pollution discharged during the first 7 years of operation is 1.955 tons

Step-by-step explanation:

Given

[tex]r(t) = \frac{t}{t^2 + 1}[/tex]

Required

The total amount in the first 7 years

This implies that:

[tex]r(t) = \frac{t}{t^2 + 1}; [0,7][/tex]

The total amount is calculated by integrating r(t) i.e.

[tex]v = \int\limits^a_b {r(t)} \, dt[/tex]

So:

[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]

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We have:

[tex]t^2 + 1[/tex]

Differentiate

[tex]d(t^2 + 1) = 2t[/tex]

Rewrite as:

[tex]2t = d(t^2 + 1)[/tex]

Solve for t

[tex]t = \frac{1}{2}d(t^2 + 1)[/tex]

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So:

Make t the subject

[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]

[tex]v = \int\limits^7_0\frac{1}{2}* {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]

[tex]v = \frac{1}{2}\int\limits^7_0 {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]

Integrate

[tex]v = \frac{1}{2}\ln(t^2 +1)|\limits^7_0[/tex]

Expand

[tex]v = \frac{1}{2}[\ln(7^2 +1) - \ln(0^2 +1)][/tex]

[tex]v = \frac{1}{2}[\ln(50) - \ln(1)][/tex]

[tex]v = \frac{1}{2}[3.91 - 0][/tex]

[tex]v = \frac{1}{2}[3.91][/tex]

[tex]v = 1.955[/tex]

Answer:

x = 0.5

Step-by-step explanation:

[tex]\frac{5}{2x} +3=\frac{4}{x}[/tex]

[tex]2x(\frac{5}{2x} +3)=2x(\frac{4}{x})[/tex]

5 + 6x = 8

5 - 5 + 6x = 8 - 5

6x = 3

[tex]\frac{6x}{6} =\frac{3}{6}[/tex]

x = 0.5

Answer:a

Step-by-step explanation:a

Answer:

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{0.25}{\sqrt{100}} = 0.06[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.5 - 0.06 = 7.44 ounces.

The upper end of the interval is the sample mean added to M. So it is 7.5 + 0.06 = 7.56 ounces.

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

Answer:

plot ur x,y coordinates as (0,-8) (1,-8)

Answer:

Step-by-step explanation:

6x-1+3x+5x+3+4x+8+5x+5=360 degree(sum of exterior angle of a pentagon is 360 degree)

23x+15=360

23x=360-15

x=345/23

x=15

therefore the value of x is 15 degree.

Answer:

according to me 4 is the answer

Step-by-step explanation:

Answer:

E. C= 80+ 12n

Step-by-step explanation:

____________

Answer:

65*

Step-by-step explanation:

12x-7+16x+19=180

28x=168

x=6

12(6)-7=65

Answer:

[tex]x=4,\\y=8[/tex]

Step-by-step explanation:

Notice that in the diagram, opposite sides are equal. This is true for any rectangle, so even without the equal sides being marked, we'd know that each pair of opposite sides have the same length.

Therefore, we can set up the following equations and solve for [tex]x[/tex] and [tex]y[/tex]:

[tex]2y=y+8,\\y=\boxed{8}[/tex]

[tex]4x-8=2x,\\-8=-2x,\\x=\boxed{4}[/tex]

Answer:

x^2-3y

5^2-3*8

25-24

1

Step-by-step explanation:

Answer:

A = 1/2 × b × h

A = 1/2 × 60 × 30

A = 1/2 x 900

A = 450

--------

A = 1/2 x 6 x 18

A= 1/2 x 54

A = 27

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27 + 450 = 477

=477

Step-by-step explanation:

Answer:

It should be c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The answer is A

Very few circles are congruent. Certainly if a circle has a radius of 8 and another one 2 city blocks away also has a radius of 8, both are congruent.  But if one of them has a radius of 4 and the other a radius of 10, they are not congruent.

A does not have to be true.

Answer:

D. 78°

Step-by-step explanation:

50°+28°= 78°

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