What is the equation of a line that is parallel to y=2/3x-7 and passes through (12,2)?

Group of answer choices

A. y=2/3x-6

B. y=2/3x+12

C. y=2/3x-7

D. y=-3/2x+12

Answer: D

Step-by-step explanation: I did the test

The exact value of the expression is -1.

The expression involves tan 25° and tan 110°. The expression you provided is:

tan 25° + tan 110° / (1 - tan 25° tan 110°)

First, we need to recognize that tan (180° - x) = -tan x. Since 110° = 180° - 70°, we have:

tan 110° = -tan 70°

Now, we can rewrite the expression as:

tan 25° - tan 70° / (1 + tan 25° tan 70°)

Next, we can apply the tangent addition formula, which is:

tan (a - b) = (tan a - tan b) / (1 + tan a tan b)

Comparing this formula with our expression, we see that a = 25° and b = 70°. So, the expression simplifies to:

tan (25° - 70°) = tan (-45°)

Since tan (-x) = -tan x, we have:

tan (-45°) = -tan 45°

Lastly, we know that tan 45° = 1, so:

-tan 45° = -1

Therefore, the exact value of the expression is -1.

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Data:

Rachel has $39000 to spend on college. Then, to have enough resourse to pay the cost of college education, it needs to be: less than or equal to $39000

The recursive formula that represents the same sequence of numbers as the explicit formula an = 3n + 4 is an = an-1 + 3, with the initial term a1 = 7.

A recursive formula defines a sequence by expressing each term in terms of previous terms. In this case, the explicit formula an = 3n + 4 gives us a direct expression for each term in the sequence.

To find the corresponding recursive formula, we need to express each term in terms of the previous term(s). In this sequence, each term is obtained by adding 3 to the previous term. Therefore, the recursive formula is an = an-1 + 3.

To complete the recursive formula, we also need to specify the initial term, a1. We can find the value of a1 by substituting n = 1 into the explicit formula:

a1 = 3(1) + 4 = 7

Hence, the complete recursive formula for the sequence is an = an-1 + 3, with the initial term a1 = 7. This recursive formula will generate the same sequence of numbers as the given explicit formula.

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Answer:

i think if its on a graph

Step-by-step explanation:

1 mile * 5280 ft * 12 in = 63360 in

There are 63360 inches in one mile

Answer:

63360

Step-by-step explanation:

5280 × 12 = 63360

Answer:

0.167 is rational

2/6 is rational and the other two is irrational

:)

Step-by-step explanation:

Answer:

67.5%

Step-by-step explanation:

To calculate the percentage decrease in the share price of Bitcoin, we can use the following formula:

Percentage decrease = ((original value - new value) / original value) x 100%

Here, the original value is the share price before the crash, which is $60,000, and the new value is the share price after the crash, which is $19,500.

Substituting these values into the formula, we get:

Percentage decrease = ((60,000 - 19,500) / 60,000) x 100%

= 40,500 / 60,000 x 100%

= 67.5%

Therefore, the percentage decrease in the share price of Bitcoin is 67.5%.

I can create the schedule 181440 ways for the week.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, As a television executive, you have been given 9 shows to choose from and you have 7-time slots.

Therefore, The first slot can be filled by 9 different shows, And the next can be done is 8 different shows.

Continuing this way we can fill 7 slots with 9 different shows as,

9×8×7×6×5×4×3 ways.

= 181440 ways.

It is a permutation so we can also have calculated as, \(^9P_7 = \frac{9!}{(9-2)!}\) ways.

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Answer:

Step-by-step explanation:

Angles x and z are supplementary, meaning that they add up to 180.  From the markings on the diagram, angle z and the angle measuring 20 are complementary, meaning they add up to 90. So the game plan is to find out the measure of angle z first, then use that to find the measure of angle x.

angle z = 90 - 20 so

angle z = 70 degrees. And

angle z + angle x = 180.  Subbing in our value for z:

70 + angle x = 180 and

angle x = 180 - 70 so

angle x = 110 degrees

To differentiate the function f(x) = qx + r/sx + t, where q, r, s, and t are constants, the derivative is given by f'(x) = q - (r/s) * (1/x^2).

To differentiate the given function, we need to apply the rules of differentiation. Let's break down the steps:

1. Differentiate qx with respect to x: Since q is a constant, the derivative of qx is simply q.

2. Differentiate r/sx with respect to x: We can rewrite r/sx as r * (s * x)^(-1). Applying the power rule of differentiation, the derivative of (s * x)^(-1) is (-1) * (s * x)^(-1 - 1) * s = -s/x^2.

3. Differentiate t with respect to x: Since t is a constant, the derivative of t with respect to x is 0.

4. Combining the derivatives obtained from the previous steps, we have f'(x) = q - (r/s) * (1/x^2).

Therefore, the derivative of the given function f(x) = qx + r/sx + t, where q, r, s, and t are constants, is f'(x) = q - (r/s) * (1/x^2).

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Answer:

189.6

Step-by-step explanation:

790*4=3160*6%

ayuda plis nosé donde estoy q Brainli es este

ayuda

Answer:

hmm I'm not sure but i think it's B. a numerical expression

Sowwy if this didn't help :c

The interest is 20.3%

The first step is to write out the parameters

The principal is $84

The rate is 10%

The time is 2 yrs 5 months

The next step is to convert the time which is the years and month

Time= 2 years 5 months

= 2 + 5/12

= 2 + 0.4166

= 2.4166

The interest can be calculated as follows

= 84 × 10 × 2.4166/100

= 2,029.94/100

= 20.3

Hence the interest is 20.3%

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The equation for the materials quantity variance is (AQ × AP) – (SQ × SP).

The materials quantity variance is a measure of the difference between the actual quantity (AQ) of materials used and the standard quantity (SQ) of materials that should have been used, multiplied by the standard price (SP) per unit. The variance indicates whether more or fewer materials were used compared to the standard, and it quantifies the cost impact of the difference.

The formula (AQ × AP) – (SQ × SP) calculates the materials quantity variance by multiplying the actual quantity (AQ) by the actual price (AP) per unit and subtracting the product of the standard quantity (SQ) and the standard price (SP) per unit. This formula directly compares the actual and standard quantities and calculates the cost impact of any deviations.

Therefore, the correct equation for the materials quantity variance is (AQ × AP) – (SQ × SP).

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Answer:

Let the no. be x

51 + x = -1

x = -1-51

x = 1 + 51

Answer:

-52

Step-by-step explanation:

51 + (-52) = -1

By elimination, the solution of the system of equations, 5x - 2y = -19 and 2x + 3y = 0, is (-3 , 2).

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.

There are three methods that can be used to solve system of equations.

1. Elimination

2. Substitution

3. Graphing

Using the elimination method, given two equations in x and y, a variable should be eliminated by adding/subtracting the two equations.

First, multiply the first equation by 3 and the second equation by 2.

5x - 2y = -19 ⇒ 15x - 6y = -57     (equation 1)

2x + 3y = 0 ⇒ 4x + 6y = 0     (equation 2)

Adding the two equations will eliminate the variable y.

15x - 6y = -57     (equation 1)

4x + 6y = 0     (equation 2)

19x        = -57

x = -3

Substitute the value of x to any of the two equation and solve for y.

2x + 3y = 0     (equation 2)

2(-3) + 3y = 0

3y = 6

y = 2

Hence, the solution of the system of equations is (-3 , 2).

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The two points where the line meets the circle are (3,6) and (8,3).

To find the coordinates of the point where the line 2x+2y=18 meets the circle (x-2)^2+(y-3)^2=16, we need to first solve the system of equations.

We can start by simplifying the equation of the line by dividing both sides by 2, giving us x+y=9. We can then substitute y=9-x into the equation of the circle,

which results in (x-2)^2+(9-x-3)^2=16. Simplifying this equation yields x^2-4x+4+x^2-12x+81=16. Combining like terms and solving for x, we get x=3 or x=8.

Substituting these values back into the equation of the line gives us the corresponding y-coordinates of 6 and 3, respectively.

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The rate at which the diameter decreases when the diameter is 10 cm is -0.00798 cm/min.

To find the rate at which the diameter decreases, we can use the relationship between the surface area and the diameter of a sphere.

The surface area of a sphere is given by the formula:

A = \(4\pi r^2\), where A is the surface area and r is the radius (which is half the diameter).

Differentiating both sides of the equation with respect to time t, we get:

dA/dt = 8πr(dr/dt).

We are given that the surface area decreases at a rate of \(1 cm^2/min\), so dA/dt = \(-1 cm^2/min\). We want to find dr/dt when the diameter is 10 cm, which means the radius is r = 10/2 = 5 cm.

Substituting these values into the equation, we have:

-1 = 8π(5)(dr/dt).

Simplifying, we get:

-1 = 40π(dr/dt).

Now, solving for dr/dt:

dr/dt = -1 / (40π).

Using a calculator, this evaluates to approximately -0.00798 cm/min.

Therefore, when the diameter is 10 cm, the rate at which the diameter decreases is approximately -0.00798 cm/min. Note that the negative sign indicates the decrease in diameter.

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Answer:

c is the correct answer i took the test

Step-by-step explanation:

The gender that shows greater variability in their playing time is C. Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

For the males, the interquartile range will be:

= Third quartile - First quartile

= 17 - 9

= 8

For the females, the interquartile range will be:

= Third quartile - First quartile

= 15 - 3

= 12

Therefore, girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

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The question is divided into many parts that are all relevant to finding real zeros of polynomial functions. The Factor Theorem is used in the first portion to discover real zeros of a given polynomial function given one factor. The Rational Zero Theorem is utilized in the second and third portions to identify all possible rational zeros of specified polynomial functions. Lastly, in the fourth section, the question requests a list of all rational zeros for a specific polynomial function.

1. The real zeros for the given polynomial function, f(x) = -9x3 + 28x2 − 9; x − 3, are -3, as it is a factor, and 1/3, as this is the rational zero determined by the Factor Theorem.

2. The real zeros for the given polynomial function, x3 − 2x2 − 25x + 50 = 0, are 5 and -2, as these are the rational zeros determined by the Rational Zero Theorem.

3. The real zeros for the given polynomial function, 6x3 − x2 − 35x − 25 = 0, are 5 and -5, as these are the rational zeros determined by the Rational Zero Theorem.

4. The real zeros for the given polynomial function, 4x3 − 3x + 1 = 0, are 1 and -1/3, as these are the rational zeros determined by the Rational Zero Theorem.

5. The real zeros for the given polynomial function, f(x) = 3x3 + 5x2 − 5x + 4, are -4, 1, and 1/3, as these are the rational zeros determined by the Rational Zero Theorem.

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Answer:

Number 4 (the one in the bottom right)

Step-by-step explanation:

Just use the distributive property

Answer:

I believe the correct answer is n+n+n+n+n and n^5

Step-by-step explanation:

hoped I helped:)

Answer:

5 hours

Step-by-step explanation:

35h + 25=40h

implies 25=40h-35h

25=5h

dividing both sides by 5,

h=5

The surface area of the cuboid is 3.286 cm²

A cuboid is a solid shape or a three-dimensional shape.

Surface area is the amount of space covering the outside of a three-dimensional shape.

The surface area of a cuboid is expressed as;

SA = 2( lb + lh + bh)

length = 1 2/5 = 7/5

breadth = 5/8

height = 3/8

lb = 7/5 × 5/8 = 7/8

bh = 5/8 × 3/8 = 15/64

lh = 7/5 × 3/8 = 21/40

surface area =2( 7/8 + 15/64+21/40)

= 2( 0.875 + 0.234 + 0.525)

= 2( 1.634)

= 3.268 cm²

The surface area of the cuboid is 3.268 cm²

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Based on the percentage gas price increases across all the six energy companies, the range of gas price increases is 2.9%.

This can be found by subtracting the lowest price increase from the highest percentage increase.

The range is:

= Highest increase - lowest increase

= 11.1 - 8.2

= 2.9%

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A. This option is unlikely to be affected by the formation of the Isthmus of             Panama.

B. This option is supported by scientific evidence.

C. This option is incorrect.

D. This option is correct.

"Modern Biology is based on the Theory of Evolution," the correct answer is true.

If the Isthmus of Panama had not formed, it would have had several impacts on geography and human history.

A. There would be better fishmongers in the Pacific:

This option is unlikely to be affected by the formation of the Isthmus of Panama. The availability and quality of fishmongers are influenced by various factors such as local demand and fishing practices.

B. Humans would have reached Africa first and then from there to South America:

This option is supported by scientific evidence. The Isthmus of Panama acted as a barrier preventing early humans from reaching South America. Without the isthmus, it's plausible that humans could have migrated from Africa to South America earlier.

C. Colon would have reached the Galapagos Islands:

This option is incorrect. The Galapagos Islands are located west of the South American continent, and the formation or absence of the Isthmus of Panama would not have affected Colon's ability to reach them.

D. Low current from Europe to Africa would not exist:

This option is correct.

The formation of the Isthmus of Panama disrupted the flow of ocean currents between the Atlantic and Pacific Oceans. The warm, low-oxygen "Gulf Stream" current from Europe to Africa would not exist as it relies on the continuous flow between the two oceans.

Regarding the statement "Modern Biology is based on the Theory of Evolution," it is true.

Modern Biology indeed relies heavily on the Theory of Evolution, which provides a framework for understanding the diversity of life and how species change over time.

In summary, if the Isthmus of Panama had not formed, humans may have reached South America earlier, the low current from Europe to Africa would not exist, and Colon's journey to the Galapagos Islands would not be affected.

The Theory of Evolution is indeed the foundation of Modern Biology.

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The correct interpretation of the p-value in this scenario is C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.

In a chi-square goodness-of-fit test, the null hypothesis assumes that the distribution of the number of credit cards used by customers has not changed from last year to this year. The alternative hypothesis suggests that there is a change in the distribution.

The p-value is the probability of observing a test statistic as extreme as the one obtained (or more extreme) under the assumption that the null hypothesis is true. In this case, the p-value is 0.02, which means that if the null hypothesis were true (i.e., there is no change in the distribution), there is a 2 percent chance of obtaining a chi-square value of at least 7.82 or more extreme.

The p-value is not the probability that the company's claim is correct (option A). It is not the probability of obtaining a chi-square value of at least 7.82 (option B) because the p-value accounts for values both at and beyond the observed test statistic. Additionally, it is not the probability that the company's claim is correct (option D).

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The correct interpretation of the p-value is that if the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.

In this question, the credit card company conducted a chi-square goodness-of-fit test to investigate whether there is a change in the distribution of the number of cards used by its customers from last year to this year. The test statistic value obtained was x2 = 7.82, and the corresponding p-value was 0.02.

The p-value in this context represents the probability of obtaining a chi-square test statistic as extreme as 7.82, assuming the null hypothesis is true. The null hypothesis states that there is no change in the distribution of the number of cards used from last year to this year.

Since the p-value is 0.02, which is less than the typical significance level of 0.05, we can conclude that the observed data is statistically significant and provides evidence against the null hypothesis. Therefore, we reject the null hypothesis and conclude that there is a change in the distribution of the number of cards used by the credit card company's customers from last year to this year.

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The final cost of 1 sweatshirt, 2 T shirts, and 1 pair of pants would be $70.

The final cost of 1 sweatshirt, 2 T shirts, and 1 pair of pants can be represented by the following formula:

Final Cost = Sweatshirt Cost + (2 x T Shirt Cost) + Pants Cost

For example, if the cost of a sweatshirt is $20, the cost of a T shirt is $10, and the cost of a pair of pants is $30, the final cost of 1 sweatshirt, 2 T shirts, and 1 pair of pants would be:

Final Cost = $20 + (2 x $10) + $30

Final Cost = $20 + $20 + $30

Final Cost = $70

Therefore, the final cost of 1 sweatshirt, 2 T shirts, and 1 pair of pants would be $70.

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Complete question:

What is the Final Cost of 1 Sweatshirt, 2 T-Shirts, and 1 Pair of Pants?

Answer:

1/3^4= 0.01 or 1/81

Step-by-step explanation:

prove me wrong