In a arithmetic sequence with a^1=12, d=3 which term is equal to 159?

Answer:

Factor 6 out of the variable terms.

Step-by-step explanation:

6x^2 + 24x + 5 = 0

6x^2 + 24x = –5

Factor out the 6 on the left hand side

6 (x^2 +4x) = -5

Answer:

FACTOR IS 6

Step-by-step explanation:

Answer:

2/3 = 8/12

Step-by-step explanation:

Answer:

6/9

Step-by-step explanation:

the answer is 6/9 :)

Answer:

29.25 divided by 9 is 3.25 so this is equavilent to 3 hours and 15 minutes

he makes 0.15 per minute 9 divided by 60 is 0.15

Answer:

All except complementary angle.

Step-by-step explanation:

Complementary angles equal 90 degrees.

Answer:

all is correct

Step-by-step explanation:

because a right angle, complementary angle and 90% angle are the same thing and a supplementary angle and straight angle are 180% so all answers are correct

Answer:

C is the answer

Step-by-step explanation:

Please mark brainliest

Answer:

152 days

Step-by-step explanation:

Given:

w(t) = 15 cos ((2π / 365)t) + 43

To find first time after the hottest day of the year that the water levels is 30 cm, substitute with w(t) = 30 and solve for t

30 = 15 cos ((2π / 365)t) + 43

30 - 43 = 15 cos ((2π / 365)t)

15 cos ((2π / 365)t) = -13

cos ((2π / 365)t) = -13/15

(2π / 365)t = cos⁻¹ (-13/15) = 150.07° ≈ (5/6) π

t = (365/2) * (5/6) ≈ 152 days

So, the first time after the hottest day of the year that the water levels is 30 cm is after 152 days

The water level reaches 30 cm approximately 125.3 days after the hottest day of the year. This was calculated by setting the given equation equal to 30 cm, isolating the variable, and using inverse cosine to solve in terms of radians.

The given equation represents a cosine function, w(t) = 15cos(2π / 365)t + 43, which models the water level in a pond. Here, 15 is the amplitude, and 43 is the vertical shift, indicating the average water level is 43 cm. To find the first time after the hottest day of the year that the water level is 30 cm we first set w(t) equal to 30 and solve this for t:

30 = 15cos((2π / 365)t) + 43,

Subtract 43 from both sides to get:

-13 = 15cos((2π / 365)t),

Next, divide both sides by 15 to get:

-13/15 = cos((2π / 365)t),

Now, use the inverse cosine function, or arccos, to solve for the argument (2π / 365)t, which is in radians:

(2π / 365)t = arccos(-13/15).

Thus, t = (365 / 2π) * arccos(-13/15). This equation can be solved using a calculator that provides results in radians. The solution is approximately 125.3 days after the hottest day of the year.

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Answer:

Step-by-step explanation:

While the h portion of that absolute value represents the side to side movement, the k represents the up and down.  The pointy part of the graph (the vertex) is lowered from its position at y = 0 to y = -2.5

So k = -2.5

The correct value of k is k = -2.5. Hence, option a is correct.

To find the value of k for the function f(x) = |x - h| + k, you can use one of the given points, as all points lie on the graph of the function.

Let's use the point (1, -2.5) with coordinates (x, y).

Plug these coordinates into the function:

-2.5 = |1 - h| + k

Now, you need to find k:

-2.5 = |1 - h| + k

To isolate k, you can solve for k:

k = -2.5 - |1 - h|

Now, let's check which option fits this equation based on the given points:

For h = 1 (as in the point (1, -2.5)), you get:

k = -2.5 - |1 - 1| = -2.5 - 0 = -2.5

So, the correct value of k is k = -2.5.

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It depends on your Divisor, Product, or Value. There is just not a gaven value for X or X=0

Answer:

Compound interest because you earn more over time

Step-by-step explanation:

Answer:

i think her inference i invalid

Step-by-step explanation:

i think this because she only surveyed a very small population of the seventh graders and the more data the more accurate your prediction will be. Hope that helps.

A)The number of students in the seventh grade who would be expected to prefer math to science are: 128

B) The true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood

A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.

here, we have,

A) Given that, the total number of students in seventh grade are: 150 students.

Now he took a sample of 25 students and find that the 85% of the sample prefers math to science.

This means that out of the sample the number of students who prefer math to science is:

= 85 / 100 x 25

= 21.25

Now, out of the total seventh graders the number of students who prefer math to science is:

21.25 x 150 / 25 = 127.5 ≈ 128

B) From the question, we understand that:

Mark draws a random sample of 20 addresses from all 80 of the neighborhood addresses.

The above selection is a random sampling technique

Therefore, the true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood

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complete question:

Ben takes a random sample of 25 students in his seventh-grade class and finds that 85% of the sample prefers math over science. There are 150 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer math over science?

25

85

150

128

Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asks those families if they plan to attend the party. He finds that 20% of the families plan to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party. Is this a valid inference?

No, this is not a valid inference because he asked only 20 families

No, this is not a valid inference because he did not take a random sample of the neighborhood

Yes, this is a valid inference because he took a random sample of the neighborhood

Yes, this is a valid inference because the 20 families speak for the whole neighborhood

Answer:

x = ± [tex]\sqrt{\frac{y-b}{a} }[/tex]

Step-by-step explanation:

Given

y = ax² + b ( subtract b from both sides )

y - b = ax² ( divide both sides by a )

[tex]\frac{y-b}{a}[/tex] = x² ( take the square root of both sides ), thus

x = ± [tex]\sqrt{\frac{y-b}{a} }[/tex]

Based on the data represented in the box plots, the football player that had greater success during the 10 games is C. Nasir was more successful because he had the greater measure of center.

It should be noted that a box plot simply means a method for graphically demonstrating the spread of a data.

In this case, based on the data represented in the box plots, the football player that had greater success during the 10 games is that Nasir was more successful because he had the greater measure of center.

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Answer:

the volume of the cylinder is about 169.646

Step-by-step explanation:

V= 3.14 r^2 h = 3.14 × 3^2 × 6 = 169.646

Answer:32

Step-by-step explanation:just divided both sides by 12 that will be 348:960=32:80

Answer:32

Step-by-step explanation:

Answer:

.42 or 42%

Step-by-step explanation:

21/50 is equal to .42 which is the decimal answer. To get percent multiply the decimal by 100, and you get 42%.

Answer:

42%

0.42

Step-by-step explanation:

21/50 x2 = 42/100

Answer:

3/4

Step-by-step explanation:

Answer:

Your answer would be 75%, or 3/4

Step-by-step explanation:

Answer:

I dont think so because a right triangle should have a 90 degree

Answer:

19

Step-by-step explanation:

Median is the middle number when they are lined up from smallest to largest

13,13,13,17,21,28,29,31,

There are 8 numbers

13,13,13,17,      |      21,28,29,31,

The middle is here

Add up the two numbers on either side and divide by 2

(17+21) /2

19

Answer:

19 footballs

Step-by-step explanation:

First sort the data

13 13 13 17 21 28 29 31

Median is: (17+21)/2

38/2 = 19

Answer:

There are an infinite number of expressions equivalent ot 8x+16, but a few are:

2(4x+8)

4(2x+4)

8(x+2)

Answer:

2(4x+8)

4(2x+4)

8(x+2)

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

8 blue marbles

15 red marbles

10 yellow marbles

3 brown marbles

So let's add them up

8+15+10+3

=36

Probability of picking brown marbles

3/36

Divide both by 3

1/12

So the probability of picking brown is 1/12

Answer:

C) I and II

There is a gap in the Potato Chips group for the stem "14" and the Tortilla Chips group for the stem "12"

Answer:

its c

Step-by-step explanation:

i got it right on usatestprep

Answer:

It is enough to show that all three pairs of corresponding sides are in the same ratio.

It is enough to show that two pairs of corresponding angles are congruent.

Step-by-step explanation:

If you know that the corresponding sides have the same ratio, then both triangles will be similar (SSS Similarity)

If 2 corresponding angles are congruent, you know the 3rd one is too (Triangle Angle Sum) which makes the triangles similar (AA Similarity)

Answer:

store #2 is the better deal

Step-by-step explanation:

In store #1 you need to take the total cost $625 and divide it by 25 to get your pere item cost

625/ 25 = 25

In store #2 do the same

800/ 33 = 24.24

so store two is the better deal as per item cost is lower

Answer:

The solution is (1,2) plz give branliest

Step-by-step explanation:

The solution is where the point intersect

Answer:

1781.29

Sorry, no explanations

Answer:

V= 1781.3

Step-by-step explanation:

That’s the correct answer.

Answer:

  93,675

Step-by-step explanation:

We see that the given sequence is an arithmetic sequence with first term 997, common difference -5, and last term 252.

The number of terms in the sequence (n) can be found from the formula for the n-th term:

  an = a1 +d(n -1)

  (an -an)/d +1 = n

  (252 -997)/(-5) +1 = n = 150

The sum of these terms is the average of the first and last terms, multiplied by the number of terms:

  S150 = (997 +252)/2·150 = 93,675

The sequence sum is 93,675.

The dimensions of the canvas would be approximately 11 inches by 7 inches.

To determine the dimensions of the canvas, we need to find the side lengths of the golden rectangle. A golden rectangle is a rectangle in which the length is approximately 1.618 times the width. The formula for the area of a rectangle is length multiplied by width. Given that the area of the canvas is 108 square inches, we can set up the equation: length x width = 108. Using the golden ratio, we can express the length in terms of the width as length = 1.618 x width.

Substituting this expression for length in the equation, we get (1.618 x width) x width = 108. Solving for the width, we find width ≈ 6.68 inches. Rounding this to the nearest inch, the width is 7 inches. Substituting this value back into the expression for length gives us length ≈ 11.31 inches, which rounds to 11 inches.

Therefore, the dimensions of the canvas are approximately 11 inches by 7 inches. The correct answer choice is a. 17 x 11.

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Answer:

-2/3

Step-by-step explanation:

The slope of a line can be found using the formula change in y coordinate divided by change in x coordinate (rise over run). SO, first you find the difference in y: 3-5 which is equal to -2, then divide it by change in x (2--1 / 2+1 = 3), giving an answer of -2/3.