The first two terms in an arthemetic progression are 2 and 9. The last term in the progression is the only number greater than 150. Find the sum of all the terms in the progression

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer: its (4f 5) ^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1st one

Both the computers will take 18 minutes to do the job together.

The slower computer sends all the company's email in 45 minutes.

The faster computer completes the same job in 30 minutes.

Let's take minutes t  to complete the task together.

As they complete one job, we get the following equation:

\(\frac{t}{45}\)+\(\frac{t}{30}\)=1

LCM of 45 and 30 is:

45 = 3 x 3 x 5

30 = 2 x 3 x 5

LCM = 2 x 3 x 3 x 5 = 90

Now, solving for t;

⇒\(\frac{2t+3t}{90} = 1\\\frac{5t}{90} =1\\5t=90\\\)

Dividing both sides by 5;

\(\frac{5t}{5}=\frac{90}{5}\)

We get t = 18

Hence, it will take both the computers 18 minutes to do the job together.

A company has two large computers. The slower computer can send all the company's emails in 45 minutes. The faster computer can complete the same job in 30 minutes. If both computers are working together, how long will it take them to do the job?

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Answer:

∠ CAB = 60°

Step-by-step explanation:

Given that ∠ CAD is twice ∠ CAB then ∠ CAD = 2 ∠ CAB

∠ CAB and ∠ CAD are adjacent angles and sum to 180° , then

∠ CAB + 2 ∠ CAB = 180°

3 ∠ CAB = 180° ( divide both sides by 3 )

∠ CAB = 60°

The limit of the sequence an = n^2 - 5/6n^2 + 1  is 1/6

To determine whether the sequence defined by an = n^2 - 5/6n^2 + 1 converges or diverges, we can use the limit definition of convergence.

We need to find the limit of the sequence as n approaches infinity.

lim(n → ∞) an = lim(n → ∞) (n^2 - 5/6n^2 + 1)

We can simplify this expression by dividing each term by n^2:

lim(n → ∞) an = lim(n → ∞) (1 - 5/6 + 1/n^2)

As n approaches infinity, 1/n^2 approaches zero, so we can ignore that term:

lim(n → ∞) an = lim(n → ∞) (1 - 5/6)

lim(n → ∞) an = lim(n → ∞) (1/6)

Therefore, the limit of the sequence is 1/6.

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The given question is incomplete, the complete question is:

Determine whether the sequence defined by an = n^2-5/6n^2+1 converges or diverges. If it converges , find its limit.

Stan only owns 4/5 of an acre and 2/3 of that acre of a piece of property. He thus owns 8/15 acres of enclosed property.

A grouping of numeric variables or arithmetic operations using symbols such as addition, subtraction, multiplication, and division is called an expression.

Stan only owns a piece of property that is 4/5 acres in size, and 2/3 of those acres are fenced, therefore we must take that into account when calculating the overall amount of land that is fenced.

We would multiply 4/5, the amount Stan possesses, by 2/3, the amount fenced, to get the amount of his property that is fenced.

=> 4/5  X  2/3

=> 8/15

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Answer and explanation:

We know that this is in slope-intercept form. ( y = mx + b )

1/2 would be the slope (you would use this to graph the next point)

-4 would by your y-intercept (where the line crosses the x-axis)

With this information you could graph any point using the slope given, starting at -4 (x-axis) going down or up.

Answer:

hope this helps

Step-by-step explanation:

Answer:

x1, y1

Step-by-step explanation:

Answer:

(x1,y1)

Step-by-step explanation:

The probability of women who did not breastfeed and had breast cancer is not provided in the given options. However, the answer would depend on various factors and cannot be determined solely based on the information given.

It is important to note that breastfeeding is known to have a protective effect against breast cancer, but it does not guarantee that a woman will not develop breast cancer if she does not breastfeed.

Additionally, there are several other risk factors for breast cancer, such as family history, genetics, hormonal factors, and lifestyle choices, which can influence the probability. Therefore, without specific data or context, it is not possible to provide an accurate probability.

Conditional probability is the term used to describe the probability of an event occurring given that another event has already occurred. In this case, if we had information on the probability of breast cancer given that a woman did not breastfeed, we could calculate the conditional probability.

However, since the given information does not include such data, we cannot determine the probability or classify it as a specific type of probability (e.g., joint, conditional, additional rule, or marginal probability).

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if the diagram is 5 x 12 x 9 yards

then multiply all 3 numbers

then its 540 cubic yards

then its 134 ÷ 540 which = 0.2481481481

so the answer is .25

AS shown in the graph:

The shaded are is below the line and the it is a dash line

So, the answer is option B.

Answer:

no, the ratios are not proportional

Step-by-step explanation:

124/98 is not equivalent to 315/225

Answer:

\(100.00 \div 6 \)

The probability that the youngest member of the group sits in the seat closest to the door 1 / 6

Given that, a group of 6 friends of varying ages meets at a coffee shop and sits in a circle, we need to find the probability that the youngest member of the group sits in the seat closest to the door,

So, the probability = favorable outcomes / total outcomes

Here, the favorable outcome = 1

The total outcomes = 1, 2, 3, 4, 5, 6 = 6

So, the probability = 1/6 = 1/2

Hence, the probability that the youngest member of the group sits in the seat closest to the door 1 / 6

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        - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\(\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

                  Find the circumference of the circle and show work. [refer to  

                  attachment]

\(\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

          Formula for Circumference of a Circle:-

        \(\dashrightarrow\star\bigstar\boxed{\boxed{C=2\pi r}}}\)

Where

Substitute the value of r and solve:-

         C=2π(8)

        On simplification,

C=16π

On further simplification,

C=50.3

Therefore, we conclude that the circumference of this circle is

\(\dashrightarrow\star\bigstar\boxed{\boxed{\underline{\bold{C=50.3\:yd}}}}\bigstar\star\dashleftarrow\)

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Answer:

To divide polynomials using long division, first divide the first term of the dividend by the first term of the divisor. This is the first term of the quotient. Multiply the new term by the divisor, and subtract this product from the dividend. This difference is the new dividend.

Step-by-step explanation:

given

2x + y = 13

turning to y = ax + b we get

y = - 2x + 13

hope it helps :)❤

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

A

Step-by-step explanation:

Answer:

b. 1 inch : 5 miles is sure

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

C is what i think would be the perimeters of the squares.

Step-by-step explanation:

Answer:

x = 5

Please tell me if im incorrect and hope this helped ^^

Answer: 5

Step-by-step explanation:

If you subsitute your answer (5) in the question, it would be 5-15=-10

The equation of the line that is parallel to 2y = 3x - 1 and passes through the point (4, 2) is: y = (3/2)x - 4

To find the equation of a straight line that is parallel to the line 2y = 3x - 1, we need to remember that parallel lines have the same slope.

First, let's rearrange the given equation into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept:

2y = 3x - 1

y = (3/2)x - 1/2

So the slope of this line is 3/2.

Now, if we want to find the equation of a line that is parallel to this line, we just need to use the same slope. Let's call the new line y = mx + b, where m is the slope we just found and b is the y-intercept we need to find.

So the equation of the parallel line is:

y = (3/2)x + b

To find the value of b, we need to use a point on the line. Let's say we want the line to go through the point (4, 2):

2 = (3/2)(4) + b

2 = 6 + b

b = -4

So the equation of the line that is parallel to 2y = 3x - 1 and passes through the point (4, 2) is: y = (3/2)x - 4

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Answer:

The airplane’s rate of change in elevation is 34.5 m/s.

Step-by-step explanation:

Given that,

An airplane descended 345 m in 10 seconds.

We need to find the airplane’s rate of change in elevation. Let the rate is R. Its rate is equal to the distance divided by time. So,

\(R=\text{velocity}=\dfrac{345\ m}{10\ s}\\\\=34.5\ m/s\)

So, the airplane’s rate of change in elevation is 34.5 m/s.

Option 3) Sometimes is the correct answer, Sometimes an equilateral triangle is similar to a scalene triangle.

If the respective sides are proportional and the corresponding angles are congruent, two triangles are comparable. An equilateral triangle has three congruent sides and three congruent angles, so any triangle that is similar to an equilateral triangle must also have three congruent angles. However, a scalene triangle has no congruent sides and no congruent angles, so it is possible for a scalene triangle to be similar to an equilateral triangle only if it has the same angle measurements as an equilateral triangle, but with different side lengths. Therefore, a scalene triangle can be similar to an equilateral triangle, but it is not always the case.

In general, if two triangles are similar, it means that they have the same shape but possibly different sizes. In the case of an equilateral triangle and a scalene triangle, if they are similar, then it means that the scalene triangle has the same angles as the equilateral triangle, but its sides are of different lengths. So it is possible for a scalene triangle to be similar to an equilateral triangle, but not in all cases.

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The point  slope equation of the line from the given points (-2, 6) and

(1, 1) is 3y+5x = 8 .

What is equation of straight line ?

The equation of straight line as follows , y  = mx+b .

where m is the slope .

Given ,

To find the point slope equation of the line

from the given points (-2, 6) and (1, 1).

First we have to find slope,

so slope = y2-y1 / x2-x1

This is (1-6)/(1-(-2))  = -5/3

Now that you know the slope you can use that for the point-slope equation

The point-slope equation is y-y1 = m(x-x1).  If we start with y-6, the x value is -2 (from our point (-2,6)

y-6 = -5/3 (x-(-2))

y-6 = -5/3 (x+2)

3(y-6) = -5(x+2)

3y - 18 = -5x -10

3y+5x = 18-10

3y+5x = 8

Hence, The point  slope equation of the line from the given points (-2, 6) and (1, 1) is 3y+5x = 8 .

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The unit price of the oranges bought by the three friends is $3.50 per pound.

Lamar bought 2 pounds for $7 , unit price = 7 / 2 = $ 3.5 per pound

Enrico bought 5 pounds for $17.50 , unit price = 17.50 / 5 = $ 3.5 per pound

Anna bought 3 pounds for $10.50 , unit price = 10.5/ 2 = $3.5 per pound

Hence we can see that the unit price rate for the oranges is $3.50 .

The average price of a product is calculated by dividing the total sales income by the number of units sold. Managers must supply "similar" units when a single product is given in many variations, such as different bottle sizes.

By weighting different unit selling prices higher by unit sales mix (%) for each single variant, the determination of average pricing is made practicable. We obtain pricing per statistical unit when we employ a standard rather than a genuine range of sizes and product types.

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Answer:

-1,572,864

Step-by-step explanation:

r = - 4

6  - 24  96  - 384  ......

6 * r^9 = a10 = -1572864