What number is 272 less than 2,744?

The length of side AB is approximately equal to 8 units. (Correct choice: B)

In this problem we find the case of a triangle, where a side and two angles are known, where side AC is opposite to angle B and side AB is opposite to angle C. Then, we can determine the length of side AB by law of sine:

AC / sin B = AB / sin C

Then, the expression for side AB is equal to:

AB = AC × (sin C / sin B)

(AC = 7, B = 44°, C = 53°)

AB = 7 × (sin 53° / sin 44°)

AB = 8.048

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The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.

To solve the given equations, we need to find the value of the function f(x) for specific values of x.

"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"

To find f(2), we can substitute x = 2 into the equation and solve for f(2).

Plugging in x = 2, we get:

f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)

Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.

"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"

To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).

Plugging in x = -3, we get:

f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2

Simplifying, we have:

f(-3) / 0 = 3(9) + 12 + 2

f(-3) / 0 = 27 + 12 + 2

f(-3) / 0 = 41

Additional information or context is needed to solve for f(-3).

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Step-by-step explanation:

To calculate the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due ($32,000)

- PMT is the monthly payment we want to find

- r is the annual interest rate (7.9%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PMT = PV / ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n) = **$292.07**

Therefore, the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity is **$292.07**.

Answer:

29

Step-by-step explanation:

Answer:

n=29sides

sum of interior angle of polygon=(n-2)180=(29-2)180=27×180=4860°

Answer:

All of them.

Step-by-step explanation:

Rational numbers are defined as the numbers that can be expressed as the ratio of two integers(a/b) where b must be a non-zero number. The rational numbers display a terminating characteristic and they also contain repeating, as well as, recurring digits. All the given numbers are rational as they can be written in the form of p/q.

23.429 = It can be written as a fraction. So, it is a rational number.

10 = 10 is a whole number and it can be written in the form of a/b i.e. 10/1. So, it is a rational number.

13 = 13 also can be written in ration form as 13/1. Therefore, it is also a rational number.

151 = It can be written as 151/1. Hence, it is a rational number.

8/7 = It is already mentioned in the form of a/b. So, it is a rational number.

-4.93 = since it is an integer, it will surely be a rational number.

Answer:

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

Given is the quadratic equation.

A quadratic equation has two real solutions if the discriminant is positive.

Answer: They are like terms and terms

Hope this helps :)

Step-by-step explanation:

18p and 3p are terms that happen to have the same variable to be like terms.

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

Carbon (C), nonmetallic chemical element in Group 14 (IVa) of the periodic table. Although widely distributed in nature, carbon is not particularly plentiful—it makes up only about 0.025 percent of Earth's crust—yet it forms more compounds than all the other elements combined.

Answer:

Step-by-step explanation:

Let be x the unknown number. We know that 2/5 of that number is equal to 16, this means that 2/5 multiplied by x is equal to 16, hence the equation we are looking for is:

Solving for x we have:

Therefore the number we are looking for is 40

Answer:

b

Step-by-step explanation:

it's b if I am wrong I am sorry

Answer:

0.438

Step-by-step explanation:

Given the data:

980.9, 1036.5, 1099.5, 1153.9, 1409.0, 1456.4, 1718.4, 1721.2

Coefficient of skewness:

3 * (mean - median) / standard deviation

The mean of the dataset :

Σ(X) / N ; N = sample size = 8

980.9+1036.5+1099.5+1153.9+1409.0+1456.4+1718.4+1721.2

= 10575.8 / 8

= 1321.975

Median :

980.9, 1036.5, 1099.5, 1153.9, 1409.0, 1456.4, 1718.4, 1721.2

1/2(n + 1)th term

1/2(9) = 4.5th term

(1153.9+1409.0) / 2

= 1281.45

Standard deviation:

Sqrt[Σ(X - mean)²/ (N - 1)]

Using calculator :

Standard deviation estimate of population = 277.882456

Coefficient of skewness :

3(1321.975 - 1281.45) / 277.882456

121.575 / 277.882456

= 0.4375051

= 0.4375

Using software excel :

Using excel's AVERAGE, MEDIAN and STDEV.P functions, the Coefficient of skewness can be obtained using the formula :

3 * (mean - median) / standard deviation

Coefficient of skewness obtained is 0.438

Answer:

(0,3) (3,5)

Step-by-step explanation:

You already have a point of (0,3) so graph that point and then using the slope go up 2 and right 3 so the other point you'll have is (3,5).

Equation: y = 2/3x + 3

Perpendicular slope is opposite sign reciprocal i.e. -3/2

Equation: y = -3/2x + 3

points on graph (0,3) (2,0)

The answer is:

C. circumference

Work/explanation:

Here's the correct answer:

The distance around a circle is called the circumference.

How to find the circumference :

the solution to the system of equations is x = 7.14 and y = 13.57.

In mathematics, an equation is a statement that asserts the equality of two mathematical expressions, usually containing one or more variables.

Given equations are:

5 - 0.7x = 0.2y ...........(1)

-y + 0.4x = 4.3 ...........(2)

To solve for x and y, we can use the elimination method, which involves multiplying one or both equations by a constant to eliminate one of the variables. Here's how we can do it:

First, let's multiply equation (1) by 5 and equation (2) by 2 to eliminate the y variable:

25 - 3.5x = y (multiplying equation (1) by 5)

-2y + 0.8x = 8.6 (multiplying equation (2) by 2)

Now we can substitute the expression for y from equation (1) into equation (2) and solve for x:

25 - 3.5x = 0.2(25 - 3.5x) (substituting y from equation (1))

25 - 3.5x = 5 - 0.7x

-2.8x = -20

x = 7.14

Substituting this value of x back into equation (1), we can solve for y:

5 - 0.7(7.14) = 0.2y

y = 13.57

Therefore, the solution to the system of equations is x = 7.14 and y = 13.57.

By using ALEKS graphing calculator, we get the same values of x and y.

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Answer:

rs. 52

Step-by-step explanation:

40(70) + 60(80) + 20x = 7200(1.2)

 2800 + 4800 + 20x   = 8640

                7600 + 20x = 8640

                             20x = 1040

                                 x = 52

Answer:25.45

Step-by-step explanation:

52936/1 year x 1 year/52 weeks x 1 week/40hours

Answer: the answer is (3,-2)

Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)

therefore

(-3,2) becomes (3,-2)

I'm pretty sure

Answer:

d) connect literature to the society it was written in

Step-by-step explanation:

i did the test

Both historical and feminist criticisms D. connect literature to the society it was written in.

Historical criticism involves the provision of historical evidence to examine the literary context of a work. It provides facts about the author's life, showing the historical circumstances that surround the author.

On the other hand, feminist criticism develop and discover female writings to interpret their symbolism in the light of male-dominated points of view. Some notable feminist criticism includes "Thinking About Women" (1968) by Marry Ellman, "Sexual Politics" (1969) by Kate Millet, and "The Female Eunuch" by Germaine Greer.

Historical and feminist criticisms do not:

Thus, both historical and feminist criticisms connect literature to society.

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The height of the sand in the display container is 12 inches when the display container is right triangular prism.

What is right triangular prism ?

A right triangular prism is a three-dimensional geometric shape with two parallel triangular bases and three rectangular faces. The rectangular faces connect the corresponding vertices of the triangular bases.

To find the height of the sand in the display container, we need to use the fact that the volume of sand in the storage container is equal to the volume of sand in the display container.

The storage container has a length, width, and height of 6 inch, 6 inch, and 6inche, respectively. Then, the volume of the storage container is:

\(V_{storage} = L * W * H = 6 * 6 * 6 = 216 inch^3\)

Similarly, let's assume that the display container has a base of length 4 inch and height 9 inches and height of sand be H.

Then, the volume of the display container is:

\(V_{display} = (1/2) * b * h * H = (1/2) * 4 * 9 * H = 18H\)

where (1/2) is the area of the triangle base of the display container.

Since the volumes of sand in both containers are equal, we can set these expressions equal to each other and solve for h:

216 = 18H

H = 12 inches

Therefore, the height of the sand in the display container is 12 inches.

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The volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells is \($4\pi$\) cubic units.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

To find the volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells, we need to follow these steps:

Sketch the region and the axis of rotation. The region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) is a quarter-circle with radius 2 centered at the origin. The axis of rotation is the x-axis.

Choose a vertical strip with width $\Delta x$ that runs parallel to the y-axis and intersects the region. The height of this strip is given by the equation $y = 4 - x^2$.

Imagine rotating this strip around the x-axis to form a cylindrical shell with thickness \($\Delta x$\), height \($4 - x^2$\), and radius \($x$\).

The volume of this cylindrical shell is given by the formula \($V = 2\pi x(4-x^2)\Delta x$\).

To find the total volume of the solid, we need to add up the volumes of all the cylindrical shells. This can be done by taking the limit as the width of the strips $\Delta x$ approaches zero and summing up the volumes of the resulting shells. This gives us the integral:

\($V = \int_{0}^{2} 2\pi x(4-x^2) dx$\)

We can simplify this integral by expanding the expression inside the parentheses, which gives us:

\($V = \int_{0}^{2} 8\pi x - 2\pi x^3 dx$\)

We can then integrate each term separately to get:

\($V = [4\pi x^2 - \frac{1}{2}\pi x^4]_{0}^{2}$\)

\($V = (4\pi \cdot 2^2 - \frac{1}{2}\pi \cdot 2^4) - (4\pi \cdot 0^2 - \frac{1}{2}\pi \cdot 0^4)$\)

\($V = 8\pi - 4\pi = 4\pi$\)

Therefore, the volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells is \($4\pi$\) cubic units.

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Answer:

P = 3/8

q = 1/2

Step-by-step explanation:

(3/8)^3/8 × (3/8)^1/8 = P^q

Because of the same base, pick one of the bases

Then, add the powers

(3/8)^3/8 × (3/8)^1/8 = P^q

= (3/8)^3/8 + 1/8

= (3/8)^(3+1)/8

= (3/8)^4/8

= (3/8)^1/2

Therefore,

P^q = (3/8)^1/2

Where,

P = 3/8

q = 1/2

P^q = (3/8)^1/2

= √(3/8)

Answer:

7.75

Step-by-step explanation:

41.25 divided by 5 is 8.25

30 divided by 4 is 7.5

7.75 > 7.5 but 7.75 < 8.25

I hope this helps!

Using the formula of geometric progression, the amount of rabbit in 1872 is approximately 4702

A geometric progression is a special type of progression where the successive terms bear a constant ratio known as a common ratio. It is also commonly referred to as GP. The GP is generally represented in form a, ar, ar².... where 'a' is the first term and 'r' is the common ratio of the progression. The common ratio can have both negative as well as positive values. To find the terms of a geometric series, we only need the first term and the constant ratio.

Data;

Sn = a₁ (1 - rⁿ) / 1 - r

Sₙ = 24(1 - 1.4¹³) / 1 - 1.4

Sₙ = 4702.3

The rabbit present after 13 years is 4702

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Answer:A

Step-by-step explanation: because every hour it increases by 10$

Answer:

yes .it is totally correct

Answer:

Each change in the solution area makes the inequality true.

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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