The product of the two legs of a right triangle is 20. What is the triangle's area?

Answer:

D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

So there are 60 minutes in an hour, so we convert. Then we find out we have 90 minutes so we do 2×9 so the answer is 18 miles

Answer:

see the attachment photo!

Answer:

-0.76

Step-by-step explanation:

Answer:

-0.76

Step-by-step explanation:

this is pretty simple subtraction but you just take 14.36 and subtract it by 15.12 and you know it will be a negative number because 15.12 is bigger than 14.36 and so your answer is -0.76

Answer:

I believe it is $3.

Explanation:

m=sum/number

m=12/4 which is 3.

I hope this helps!

Answer:

SAS

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

Answer:

Theres no graph form

Step-by-step explanation:

The integral of the given expression is `3/4 ln(x) - 3/8 tan^(-1)(x/2) + C` where C is the constant of integration.

Given the following integrand `[(3x^2 -x) / (x^3 + 4x)]`, we need to express it as a sum of partial fractions and then evaluate the integral. Express the integrand as a sum of partial fractions. We can do this by breaking up the integrand using partial fractions as follows: `[(3x^2 -x) / (x^3 + 4x)] = A/x + (Bx + C) / (x^2 + 4)`

To solve for A, B, and C, we find the least common multiple of the denominators on both sides of the equation `(x^3 + 4x) = x(x^2 + 4)`.So we get: `3x^2 - x = A(x^2 + 4) + (Bx + C) x`. Then, by expanding this equation, we get: `3x^2 - x = Ax^2 + 4A + Bx^2 + Cx`.Hence, we have the system of equations:3 = A + Bx0 = C4A = 3B We can then solve for A, B, and C to get:A = 3/4B = 0C = -3/4.

So we have: `[(3x^2 -x) / (x^3 + 4x)] = 3/4 * 1/x - 3/4 * (x / (x^2 + 4))`Evaluate the integral Having expressed the integrand as a sum of partial fractions, we can now evaluate the integral of the expression:∫ `[(3x^2 -x) / (x^3 + 4x)]` dx= ∫ `(3/4 * 1/x - 3/4 * (x / (x^2 + 4)))` dx= `3/4 ln(x) - 3/8 tan^(-1)(x/2) + C`.

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It is not surjective because there is no element in the range that maps to the value 2. The absolute value function only takes non-negative values, so the range is limited to [0, 2), excluding 2.

The function f(x) = |x|, defined on the interval [-2, 1] with the range [0, 2], is injective but not surjective.

To show that it is injective, we need to demonstrate that distinct elements in the domain map to distinct elements in the range. Since the absolute value function |x| always returns a non-negative value, any negative value in the domain will be mapped to its positive counterpart in the range. For example, f(-2) = |-2| = 2 and f(1) = |1| = 1. Thus, distinct elements in the domain have distinct images in the range, establishing injectivity.

However, It is not surjective because there is no element in the range that maps to the value 2. The absolute value function only takes non-negative values, so the range is limited to [0, 2), excluding 2.

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The number of people at the break even point is 1250 and the total ticket sold is $100000

The cost function is given as:

C(x) = 64x + 20000

The venue charges $80 per ticket.

So, the revenue function is

R(x) = 80x

At break even point, we have

R(x) = C(x)

Substitute the known values in the above equation

80x = 64x + 20000

Evaluate the like terms

16x = 20000

Divide both sides by 16

x = 1250

Substitute x = 1250 in R(x) = 80x

R(1250) = 80 * 1250

Evaluate

R(1250) = 100000

Hence, the number of people at the break even point is 1250 and the total ticket sold is $100000

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If the sample size in part c is larger, then the sample standard deviation will be a better estimate of the population

standard deviation.  If the sample size is smaller, then the sample standard deviation will be less reliable and may not

be a good estimate of the population standard deviation.

To describe the standard deviation in part c relative to the population standard deviation from which the samples were

generated, you can use the concept of the sample standard deviation.

The sample standard deviation is a measure of the variation in a set of data that is calculated by taking the square root

of the variance of the data set. The variance is the average of the squared differences from the mean. It is important to

note that the sample standard deviation is an estimate of the population standard deviation, which is the true measure

of the variability in the population. The larger the sample size, the closer the sample standard deviation will be to the

population standard deviation. Therefore, if the sample size in part c is larger, then the sample standard deviation will

be a better estimate of the population standard deviation.

Conversely, if the sample size is smaller, then the sample standard deviation will be less reliable and may not be a

good estimate of the population standard deviation.

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The mean could be used to describe a data set by itself, while interquartile range would almost never be used to describe a data set by itself.

Descriptive statistics :-

These are operations which are used to summarize certain characteristics a set of data has.

Descriptive statistics can be defined as a field of statistics that is used to summarize the characteristics of a sample by utilizing certain quantitative techniques.

It helps to provide simple and precise summaries of the sample and the observations using measures like mean, median, variance, graphs, and charts.

Univariate descriptive statistics are used to describe data containing only one variable. On the other hand, bivariate and multivariate descriptive statistics are used to describe data with multiple variables.

Mean and range deals with the full set of data while interquartile range measures just the middle half of the data and is denoted as option A.

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Answer:

b

Step-by-step explanation:

Answer:yaba

Step-by-step explanation:

yaba

Using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

So, using calibration on the x-axis, the approximate age of the neanderthal fossils came out to be 40,110 years old.

Therefore, using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

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The correct question is given below:
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil?

a. 5,730 years old

b. 34,380 years old

c. 40,110 years old

d. 45,840 years old

Answer:

perseveration

Step-by-step explanation:

The term you are looking for is "perseveration."

The first four terms of the Taylor series for the function (2x) about the point (a=1) are (2x + 2x - 2).

To find the first four terms of the Taylor series for the function (2x) about the point (a = 1), we can use the general formula for the Taylor series expansion:

\(\[f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \frac{f'''(a)}{3!}(x-a)^3 + \ldots\]\)

Let's calculate the first four terms:

Starting with the first term, we substitute

\(\(f(a) = f(1) = 2(1) = 2x\)\)

For the second term, we differentiate (2x) with respect to (x) to get (2), and multiply it by (x-1) to obtain (2(x-1)=2x-2).

\(\(f'(a) = \frac{d}{dx}(2x) = 2\)\)

\(\(f'(a)(x-a) = 2(x-1) = 2x - 2\)\)

Third term: \(\(f''(a) = \frac{d^2}{dx^2}(2x) = 0\)\)

Since the second derivative is zero, the third term is zero.

Fourth term:\(\(f'''(a) = \frac{d^3}{dx^3}(2x) = 0\)\)

Similarly, the fourth term is also zero.

Therefore, the first four terms of the Taylor series for the function (2x) about the point (a = 1) are:

(2x + 2x - 2)

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Applying this property to this case:

The constant 10.35 in the function V = 10.35 * sqrt(p) represents a vertical stretch/transformation of the square root function. It scales the output values of the square root function by a factor of 10.35.

The square root function, sqrt(p), maps input values (p) to their square root outputs. When we introduce the constant 10.35 in the equation V = 10.35 * sqrt(p), it affects the behavior of the function.

The constant 10.35 acts as a vertical stretch or transformation of the square root function. It multiplies the square root values by 10.35, causing a proportional increase in the output values. This means that for every input value p, the resulting square root value is multiplied by 10.35.

For example, if the square root of p is 2, the corresponding value of V would be 10.35 * 2 = 20.7. Similarly, if the square root of p is 5, the resulting V would be 10.35 * 5 = 51.75.

Therefore, the constant 10.35 in the equation V = 10.35 * sqrt(p) represents a vertical stretch or scaling of the square root function, multiplying its output values by a factor of 10.35.

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Answer:

how old are they im confused

Step-by-step explanation:

Answer:

where are the numbers

Answer:

28

Step-by-step explanation:

The midpoint is halfway, so if half the length is 14 then the full length is 28 (14 × 2 = 28)

Hope this helps!

The correct description will be;

⇒ y = - 2x + 3

4x + 2y = 6

These are independent.

⇒ y = -2x + 3

4x + y = 9

These are consistent.

⇒ y = -2x+3

4x + 2y = 9

These are inconsistent.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expressions are,

1. y = -2x+3

4x + 2y = 6

2. y = -2x+3

4x+y=9

3. y = -2x+3

4x + 2y = 9

Now,

From (1);

1. y = -2x+3

4x + 2y = 6

⇒ 2x + y = 3

4x + 2y = 6

⇒ 2x + y = 3

So We get;

⇒ 2/2 = 1/1 = 3/3

⇒ 1/1 = 1/1 = 1/1

These are independent.

From (2);

1. y = -2x+3

4x + y = 9

⇒ 2x + y = 3

4x + y = 9

So We get;

⇒ 2/4 ≠ 1/1

⇒ 1/2 ≠ 1/1

These are consistent.

From (3);

1. y = -2x+3

4x + 2y = 9

⇒ 2x + y = 3

4x + 2y = 9

So We get;

⇒ 2/4 = 1/2 = 3/9

⇒ 1/2 = 1/2 ≠ 1/3

These are inconsistent.

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Answer:

80 degrees

Step-by-step explanation:

180 - 100 = 80

Answer:

f(x) = x – 4

checking for all the functions by replacing x as 3

f(x) = 4 – x

f(3) = 4 - 3

f(3) = 1

does not match

f(x) = –4x

f(3) = -4(3)

f(3) = -12

does not match

f(x) = x + 4

f(3) = 3 + 4

f(3) = 7

does not match

f(x) = x – 4

f(3) = 3 - 4

f(3) = -1

matches

Answer:

f(x) = x - 4

Step-by-step explanation:

The options are:

f(x) = 4 – x

f(x) = –4x

f(x) = x + 4

f(x) = x – 4

For f(x) = 4 – x, when x=3, f(x)=1 so it cannot be right.

For f(x) = –4x, when x=3, f(x)=-12 so it cannot be right either.

f(x) = x + 4, when x=3, f(x)=7 so it cannot be right.

The only choice left which is also the right answer is f(x) = x – 4

n

\( - 8 |5n| - 4 = - 4\)

\( - 8 |5n| = - 4 + 4\)

\( - 8 \times 5n = 0\)

\( - 40n = 0\)

\( - 40n \: over - 40 = 0 \: over - 40\)

\(n = 0\)

Answer:

I believe the slope is 1

Step-by-step explanation:

Answer:

The slope is 1

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-4)-5/(-7)-2

m=-9/-9

m= 1

Answer:

Point-slope form:

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

Slope-intercept form:

\(y = - 4x - 2\)

Standard form:

\(4x + y = - 2\)

Step-by-step explanation:

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

\(y - 2 = - 4x - 4\)

\(y = - 4x - 2\)

\(4x + y = - 2\)