Sam bought a video game console for $150. He later sold the video game console for 13/12 of price he originally paid. Which statement about the price sam sold the video game consol for is true?

The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.

To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.

Given:

∠A = 50°

∠C = 90°

CB = 16

We can start by finding the measure of ∠B:

∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)

50° + ∠B + 90° = 180°

∠B + 140° = 180°

∠B = 180° - 140°

∠B = 40°

Now, using Sine law

CB/ sin A = AB / sin C

16 / sin 50 = AB / sin 90

16 / 0.766044 = AB

AB = 12.25

Again 12.25 = AC/ sin B

12.25 = AC / sin 40

AC = 19.068

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Answer:

a. It is in standard form because the exponents are in order from highest to lowest.

Complete question:

a. It is in standard form because the exponents are in order from highest to lowest.

b. It is in standard form because the coefficients are in order from highest to lowest.

c. It is not in standard form because the constant should be the first term.

d. It is not in standard form because it can be further simplified.

Step-by-step explanation:

-24x^7-12x^2-9x+6

A polynomial is in standard form when the exponents are in order from highest to lowest. In the given expression , the exponent is in order x^7 and then x^2 and then x and constant.

Standard form does not depends on the coefficient of each each.

The given polynomial is in standard form because the exponent are in order from highest to lowest.

Answer:

A

Step-by-step explanation:

Answer:

23.75483

Step-by-step explanation:

I used a calculator lol

The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.

To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:

1x² - 16x = 20

First, move all terms to one side of the equation:

1x² - 16x - 20 = 0

Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:

x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))

Simplifying further:

x = (16 ± √(256 + 80)) / 2

x = (16 ± √336) / 2

x = (16 ± √(16 * 21)) / 2

x = (16 ± 4√21) / 2

Simplifying:

x = 8 ± 2√21

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Answer:

maybe the second?

Step-by-step explanation:

Answer:

y = 4/5x + 3/5  

Step-by-step explanation:

In the slope-intercept form, y = mx + b, we need to find the values of the slope (m) and the y-intercept.

Using points (-7, -5) and (3, 3), we can calculate for the slope of the equation given the formula:

\(m = \frac{y2 - y1}{x2 - x1}\)

Let (x1, y1) = (-7, -5)

and (x2, y2) = (3, 3).

Plug the given values into the slope formula:

\(m = \frac{y2 - y1}{x2 - x1} = \frac{3 - (-5)}{3 - (-7)} = \frac{3 + 5}{3 + 7} = \frac{8}{10} = \frac{4}{5}\)

Therefore, the slope of the line is 4/5.  

Next, we need to find out the value of the y-intercept (b).

We can use one of the given points, (3, 3), along with the slope (4/5) to solve for the y-intercept:

y = mx + b

3 = 4/5(3) + b

3 = 12/5 + b

Subtract 12/5 from both sides:

3 - 12/5 = 12/5 - 12/5 + b

3/5 (or 0.6) = b

Therefore, the y-intercept is 3/5.

We can now establish our linear equation as:

y = 4/5x + 3/5

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Answer:Joey is 18 hope that helped you

Answer:

4/5

Step-by-step explanation:

Slope

    Slope y-intercept of a line: y = mx + b

Where m is the slope and b is the y-intercept.

 \(\sf y =\dfrac{4}{5}x-3\\\\\boxed{Slope = \dfrac{4}{5}}\)

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

\(\large \bold {ANSWER}\)

\(\large \bold {EXPLANATION}\)

This line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept.

So that we can conclude that the slope is 4/5.

All the given triangles are congruent by SSS, SAS, and AAA rules.

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

As per the given triangles,

In the first triangle, two sides are the same and the third side is the common side thus it will be congruent with the SSS rule.

The remaining triangles are also congruent similarly to SAS and AAA rules like this.

Hence "By the SSS, SAS, and AAA criteria, every triangle in the example is congruent.".

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Answer:

Given the series,

∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1

I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)

So,

∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞

There are different types of test to show if a series converges or diverges

So, using Ratio test

Lim n → ∞ (a_n+1 / a_n)

Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))

Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))

Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)

Lim n→ ∞ (-1/2)^(n-n+1)

Lim n→ ∞ (-1/2)^1 = -1/2

Since the limit is less than 0, then, the series converge...

Sum to infinity

Using geometric progression formula

S∞ = a / 1 - r

Where

a is first term

r is common ratio

So, first term is

a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1

a_1 = -4

Common ratio r = a_2 / a_1

a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2

a_2 = 2

Then,

r = a_2 / a_1 = 2 / -4 = -½

S∞ = -4 / 1--½

S∞ = -4 / 1 + ½

S∞ = -4 / 3/2 = -4 × 2 / 3

S∞ = -8 / 3 = -2⅔

The sum to infinity is -2.67 or -2⅔

It looks like the series is

\(\displaystyle \sum_{n=1}^\infty \frac{n^{2n}}{(1+n)^{3n}} = \sum_{n=1}^\infty \left(\frac{n^2}{(1+n)^3}\right)^n\)

Checking for convergence is most easily done with the (Cauchy) root test for convergence: the infinite series

\(\displaystyle \sum_{n=1}^\infty a_n\)

converges absolutely if the limit

\(\displaystyle \lim_{n\to\infty} \sqrt[n]{|a_n|} < 1\)

Here we have

\(\displaystyle \lim_{n\to\infty} \sqrt[n]{\left|\left(\frac{n^2}{(1+n)^3}\right)^n\right|} = \lim_{n\to\infty} \frac{n^2}{(1+n)^3} = 0 < 1\)

so the given series converges.

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

\(\frac{3}{x}+\frac{x}{x+2}= \frac{x^2+3x+6 }{x^2+2x}\)

Step-by-step explanation:

Given

\(\frac{3}{x}+\frac{x}{x+2}\)

Required

Solve

\(\frac{3}{x}+\frac{x}{x+2}\)

Take LCM

\(\frac{3(x+2) + x * x}{x(x+2)}\)

\(\frac{3(x+2) + x^2}{x(x+2)}\)

Open brackets

\(\frac{3x+6 + x^2}{x^2+2x}\)

Rewrite as:

\(\frac{x^2+3x+6 }{x^2+2x}\)

Hence:

\(\frac{3}{x}+\frac{x}{x+2}= \frac{x^2+3x+6 }{x^2+2x}\)

2(3.5×1.5)+2(3.5×2)+2(1.5×2)

= 2(5.25)+2(7)+2(3)

=10.5+14+6

=30.5

Answer: 30.5

Step-by-step explanation:

 2(3.5×1.5)+2(3.5×2)+2(1.5×2)

= 2(5.25)+2(7)+2(3)

= 10.5+14+6

= 30.5

The equation of the relationship is f(200) = 0.75 * 200

From the question, we have the following parameters that can be used in our computation:

Total number of drinks = 200

Cost of each drink = 0.75

Using the above as a guide, we have the following:

f(x) = Cost of each drink * Total number of drinks

Where

f(x) = Total cost

Substitute the known values in the above equation, so, we have the following representation

f(200) = 0.75 * 200

Hence, the equation is f(200) = 0.75 * 200

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The sum of the lengths of three sides of the rectangle, gives the length

of the fencing, while one third of the rectangle area is for the pavement.

Responses:

Project A: The formula for the length of the fencing is, L = 4·x - 1

Project B: Length of the fancy wall = 2·x + 1

\(Project \ C:Area \ of \ the \ paving = \underline{ \dfrac{2\cdot x^2 }{3} - \dfrac{x }{3} - \dfrac{1}{3}}\)

Project A: Let QP and SR represent the longest sides of the rectangle, we have;

PQ = SR = 2·x + 1

Given parameters are;

Length of the rectangular plot = 2·x + 1

Width of the rectangular plot = x - 1

Vertices of the rectangular plot are; QPSR

Project A: Let QP and SR represent the longest sides of the rectangle, we have;

PQ = SR = 2·x + 1

Which gives;

SP = QR = x - 1

The length of the fencing, L = SP + PQ + QR = x - 1 + 2·x + 1 + x - 1 = 4·x - 1

Project B: The front side is SR

Therefore;

Project C:

Area, A = Length × Width

Area of the plot, A = (2·x + 1) × (x - 1) = 2·x² - x - 1

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The coordinates to which the portable irrigation system should be sent to water the area are:

(495.75, 672).

The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.

Hence the coordinates are given as follows:

Hence the x-coordinate of the point to which the system should be sent is:

x = (56 + 144 + 888 + 895)/4 = 495.75.

(the mean is given by the sum of the observations divided by the number of observations).

The y-coordinate of the point to which the system should be sent is:

y = (289 + 332 + 1012 + 1055)/4 = 672.

The area is given by the image at the end of the answer.

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Answer:

6 x 32 = 192 divided by 6 = 34

Step-by-step explanation:

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer: a

Step-by-step explanation: because a is my name

Answer:

Step-by-step explanation:

-4y = -2x - 3

y = 1/2x + 3/4

y - 4 = 1/2(x + 1)

y - 4/2 = 1/2x + 1/2

y = 1/2x + 5/2

The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

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Answer:

$104.70

Step-by-step explanation:

The equation would be set up like this: 80.45 + 20.50(3) - 37.25. You started off with $80.45 in your bank account and deposited, or added, $20.50 every day on Tuesday, Wednesday and Thursday. That would mean you added $20.50 three times. Adding $80.45 + $20.50 + $20.50 + $20.50, simplified to $80.45 + $20.50(3)  would get you $141.95 in total. Then, on Friday, you withdraw $37.25, getting the equation $141.95 - $37.25, leaving $104.70 for the weekend.

Answer:

$104.70.

Step-by-step explanation:

If you started with $80.45, and then deposited $20.50 3 times, one for Tuesday, Wednesday, and Thursday, that would get you up to $141.95. Then, if you withdrew $37.25 on Friday, that leaves you with $104.70 for the weekend.

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Answer:

The expression is simplified to:

15/(c^8)

Step-by-step explanation:

I have attached an image to make the question clearer.

15c^(-8)d^(0).

Using the zero exponent property (a^0 = 1),

d^0 = 1. Therefore we have:

15c^(-8)(1) = 15c^(-8).

Using the negative exponent rule [a^(-r) = 1/(a^r)],

c^(-8) = 1/(c^8). Therefore we have:

15 x 1/(c^8) = 15/(c^8).

Therefore, The expression is simplified to: 15/(c^8).

Answer:

well i dont know the options and is there a picture? but some advice is to see how many holes there are and that can help you find the answer

Step-by-step explanation:

Tell me if there is a picture or something else so i can help further :)

Answer:

The worker uses exactly 140 screws and 80 bolts to make 20 metal desks.

The worker uses exactly 140 screws and 80 bolts to make 20 metal desks.

The worker uses exactly 80 screws and 140 bolts to make

2 metal desks.

The worker uses exactly 80 screws and 140 bolts to make 20 metal desks.

The worker uses exactly 17screws and 14bolts to make 10

metal desks.

The worker uses exactly 17 screws and 14 bolts to make 10 metal desks.

The worker uses exactly 14 screws and 17 bolts to make 10 metal desks.

Step-by-step explanation:

these our the answers