A linear function is written:
f(x) = 3/2x-4
What is the value of f(5)?

Answer: 493,700,000

Step-by-step explanation:

Answer:

[tex]d = q(z-1)[/tex]

[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]

[tex]S_{10} = 5q(9z -7)[/tex]

Step-by-step explanation:

Given

[tex]T_1 = q[/tex]

[tex]T_2 = qz[/tex]

Solving (a1): The common difference (d)

d is calculated as

[tex]d = T_2 - T_1[/tex]

This gives:

[tex]d = qz - q[/tex]

Factorize:

[tex]d = q(z-1)[/tex]

Solving (a2): Sum of n terms

This is calculated using:

[tex]S_n = \frac{n}{2}(2*T_1 + (n-1)d)[/tex]

Substitute values for T1 and d

[tex]S_n = \frac{n}{2}(2*q + (n-1)q(z-1))[/tex]

[tex]S_n = \frac{n}{2}(2q + q(n-1)(z-1))[/tex]

Factorize:

[tex]S_n = \frac{n}{2}(q(2 + (n-1)(z-1)))[/tex]

[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]

Solving (b): Sum of first 10.

In this case, n = 10

So:

[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]

becomes

[tex]S_{10} = \frac{10 * q}{2}(2 + (10-1)(z-1))[/tex]

[tex]S_{10} = 5 * q(2 + 9(z-1))[/tex]

[tex]S_{10} = 5q(2 + 9(z-1))[/tex]

[tex]S_{10} = 5q(2 + 9z-9)[/tex]

[tex]S_{10} = 5q(2 -9+ 9z)[/tex]

[tex]S_{10} = 5q(-7+ 9z)[/tex]

[tex]S_{10} = 5q(9z -7)[/tex]

Given that the first term and the second term of an arithmetic sequence is q and qz respectively, therefore:

a. Common difference (d) = [tex]\mathbf{d = q(z - 1)}[/tex]

Sum of the first n terms is: [tex]\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]

b. [tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]

Recall:

Given:

a. Common difference (d) = [tex]T_2 - T_1[/tex]

[tex]d = qz - q\\\\\mathbf{d = q(z - 1)}[/tex]

Sum of n terms:

[tex]T_n = \frac{n}{2}[2a + (n - 1)d][/tex]

[tex]S_n = \frac{n}{2}[2(q) + (n - 1)q(z - 1)]\\\\S_n = \frac{n}{2}[2q + q(n - 1)(z - 1)]\\\\S_n = \frac{qn}{2}[2 + 1(n - 1)(z - 1)]\\\\\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]

b. Sum of the first 10 terms:

[tex]S_{10} = \frac{q(10)}{2}[2 + (10 - 1)(z - 1)][/tex]

[tex]S_{10} = 5q[2 + (9)(z - 1)]\\\\S_{10} = 5q(2 + 9z - 9)\\\\[/tex]

[tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]

In summary, given that the first term and the second term of an arithmetic sequence is q and qz respectively, therefore:

a. Common difference (d) = [tex]\mathbf{d = q(z - 1)}[/tex]

Sum of the first n terms is: [tex]\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]

b. [tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]

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Answer:

8 wks

Step-by-step explanation:

It's 8 weeks

It's literally 8 weeks

hi there! if you're asking us to simplify this equation, here is my answer for you...

Answer:

x = 2.09716754…

hope this helped. have a good one!

Answer: 50

Step-by-step explanation:

Ok, we have the equation:

C=4000x-100x²+x³

Notice that the leading coefficient in this equation is positive, this means that as the value of x increases, also will the value of C.

Then we will not have a maximum, because as x →∞, C(x) →∞.

By doing an online search i found this same question, but with the change that we want to find x such that the average cost is minimum (this makes more sense).

Then let's do that:

The total cost for making x pieces is:

C(x) = 4000x-100x²+x³

Then the average cost, or the cost per piece, will be:

F(x) = C(x)/x = 4000 - 100*x + x^2

Notice that F(x) is a quadratic function with a positive leading coefficient, then the arms of the quadratic function will open upwards, this means that the minimum will be at the vertex.

To find the minimum, we must look at the zeros of the first derivation of F(x):

F'(x) = dF(x)/dx = -100 + 2*x

The zero is when:

F'(x) = 0 = -100 + 2*x

          100/2 = x

             50 = x

Then the number of x that minimizes the average cost is x = 50.

Answer: I think it would be A

Step-by-step explanation: If you do the first equation it would equal -0.1 then if you do equation A -6.7 plus -0.1 = -6.8 plus 6.8 = 0

Answer:

A

Step-by-step explanation:

It's letter A

Answer:

In a week we have 7 days.

On the first day, Clare runs 4 miles.

On the other six days, she runs the same distance, let's call it D.

In total, she runs 22 miles.

Then:

4mi + 6*D = 22 mi

6*D = 22mi - 4mi = 18mi

D = 18mi/6 = 3mi.

Then the other 6 days, Clare runs 3 miles, then the tape diagram would look something like:

[tex]\left[\begin{array}{cccccc}Monday&-&-&-&-\\Tuesday&-&-&-\\Wednesday&-&-&-\\Thursday&-&-&-\\Friday&-&-&-\\Saturday&-&-&-\\Sunday&-&-&-\end{array}\right][/tex]

Where each "-" represents one mile.

Answer:

3 miles

Step-by-step explanation:

Answer:

1. ∠4 = 152°

2. ∠5 = 152°

3. ∠8 = 152°

4. ∠6 = 28°

Step-by-step explanation:

1. ∠4 and 152° are vertical angles. Therefore, m∠4 = 152°.

2. ∠5 and 152° are corresponding angles. Therefore, m∠5 = 152°

3. ∠8 and 152° are alternate exterior angles, therefore, m∠8 = 152°

4. ∠6 and <8 are a linear pair. Therefore,

m∠6 + m∠8 = 180°

m∠6 = 180° - m∠8

m∠6 = 180° - 152°

m∠6 = 28°

Answer:

I think it is

C. Sometimes

Answer:

Step-by-step explanation:

the rock has changed color due to weathering.

just by looking at it, you cant tell for sure making it an inference.

Answer:

4. the rock has changed colour due to weathering

Step-by-step explanation:

the rock's colour has changed as a result of interference

Answer:

0.71358024691 But really you can say .7

Answer:

11.55 years

Step-by-step explanation:

Formula to calculate the final value when the money is compounded continuously is,

Final value = [tex]\text{(Present value)}.e^{rt}[/tex]

Here 'r' = rate of interest

t = duration for the investment

Let the money invested = $x

We have to find the duration in which the present value gets doubled.

Final value = $2x

Rate of interest = 6% per year ≈ 0.06

By substituting these values in the formula,

[tex]2x=x.e^{0.06t}[/tex]

[tex]2=e^{0.06t}[/tex]

ln(2) = [tex]\text{ln}e^{0.06t}[/tex]

0.693147 = 0.06t

t = 11.55 years

Therefore, invested amount will be doubled in 11.55 years.

9514 1404 393

Answer:

  A  3/2

Step-by-step explanation:

The graph crosses the y-axis at (0, -3) and the x-axis at (2, 0). Using the slope formula, we can find the slope of the line to be ...

  m = (y2 -y1)/(x2 -x1)

  m = (0 -(-3))/(2 -0)

  m = 3/2 . . . . matches choice A

Answer:

212

Step-by-step explanation:

Answer:

Okay, so what is the question?

Answer:

   Tornado: clouds, strong wind, rain, hail.

   Hurricane or cyclone: strong wind, heavy rain.

   Blizzard: heavy snow, ice, cold temperatures.

   Dust storm: strong winds, arid conditions.

   Flood: heavy rainfall.

   Hail storm: cold or warm temperatures, rain, ice.

   Ice storm: freezing rain.Step-by-step explanation:

Answer:

1. 4320

2. 248

3. -180

4. 1/8

Answer:

Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.

Step-by-step explanation:

Given the equation of a line, -2y = 5x + 8, first rewrite the equation in the slope-intercept form, before determining the slope of the lines that will be parallel to it, and slope of lines that will be perpendicular to it.

-2y = 5x + 8

Divide both sides by -2

y = 5x/-2 + 8/2

y = -⁵/2x + 4

The slope of the line of this equation is -⁵/2.

Linea that will be parallel to the given equation will have the same slope, while all lines that will be perpendicular to it will be a negative reciprocal of the slope of the equation.

Therefore:

Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.

Answer:

Lines parallel to the given equation will have a slope of -5/2 and lines perpendicular to the given equation will have a slope of 2/5.

Step-by-step explanation:

I took the test.

Answer:

3 miles per hour

Step-by-step explanation:

3 times 5 is 15 15 divided by 4 is 3

Josie's speed will be 15/4 miles per hour.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Josie walks 3/4 miles in 1/5 hour.

Now,

The distance = 3/4 miles

The time = 1/5 hour

Since, We know that;

Speed = Distance / Time

Substitute all the values, we get;

Speed = 3/4 miles / 1/5 hour

          = 3 x 5 / 4

          = 15/4 miles per hour

Thus, Josie's speed will be 15/4 miles per hour.

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Answer:

X y

2 30

3 35

4 40

Step-by-step explanation:

Putting the value of x in equation u will get the value of y

The required table of values given that y = 5x + 20 will be given as

x y

2 30

3 35

4 40

Given the linear equation y =5x + 20

In order to fill the table, we will have to calculate the y-values for the corresponding x values given.

If x = 2

y = 5(2) + 20

y = 10 + 20

y = 30

If x = 3

y = 5(3) + 20

y = 15 + 20

y = 35

If x = 4

y = 5(4) + 20

y = 20 + 20

y = 40

Hence the required table of values will be given as

x y

2 30

3 35

4 40

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Its the last one. I just took the quiz on edge.

Step-by-step explanation: The scale factor is 5. You mutiply  5 with the coordinates. J  is (-3,2) so multiply 5 and -3  which is -15 then do the same thing with 2 which equals 10. J'=(-15,10)

Answer:

27/29

Step-by-step explanation:

Answer:

It's a right angle triangle

Step-by-step explanation:

The inequality is represented by the given graph is y ≤ -x/3+1.

The correct option is B.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

We have,

A graph of an inequality, passing by (0, 1) and (3, 0).

A and D are eliminated since the line is solid.

C is disregarded because the line is shaded below as well.

Then, the inequality will be y ≤ -x/3+1

Hence, the inequality is represented by the given graph is y ≤ -x/3+1.

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Answer:

y = 2/3 x + 1/3

Step-by-step explanation:

First find the slope of the given line by solving for "y":

3 x + 2 y = -7

2 y = - 3 x - 7

y = - 3/2 x - 7/2

which shows a slope of "- (3/2)"

Then, the slope of a line perpendicular to it must be "the opposite of the reciprocal" of this slope, that is: "2/3"

We use this info and the requested point (1, 1) to find the complete equation of the perpendicular line:

y = 2/3  x + b

1 = 2/3 (1) + b

1 - 2/3 = b

b = 1/3

Then the equation of the line is:

y = 2/3 x + 1/3

which agrees with the third answer shown in the list of options.

Answer:

2225

Step-by-step explanation:

1643 A.D. years plus 582 B.C. years in between the births

Answer:

320 calories

Step-by-step explanation:

Ratios.

let's say calories= c

grams = g

160c:40g

?      :80g

So if you look at the grams, you see an increase by *2.

so the get: ?

you need to multiply 160 by 2.

Answer:

800

Step-by-step explanation:

Answer:

Hey buddy, here is your answer. Hope it helps you

Step-by-step explanation:

It will round off to 800 as it is below 5. Above 5 it will round off to 810.