The hypotenuse is always?

Answer:

6

Step-by-step explanation:

Find out how many boys makeup the class.

100% = 40

1% = 40 ÷ 100 = 0.40

40% = 0.40 x 40 = 16

Find 25% of the class.

25% = 0.40 x 25 = 10

40 - 25 = 15% of the boys wear shirt jacs.

16 - 10 = 6

The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

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To determine the variable matrix \(\displaystyle X\) using the equation \(\displaystyle AX=B\), we need to solve for \(\displaystyle X\). We can do this by multiplying both sides of the equation by the inverse of matrix \(\displaystyle A\).

Let's start by finding the inverse of matrix \(\displaystyle A\):

\(\displaystyle A=\begin{bmatrix} 3 & 2 & -1\\ 1 & -6 & 4\\ 2 & -4 & 3 \end{bmatrix}\)

To find the inverse of matrix \(\displaystyle A\), we can use various methods such as the adjugate method or Gaussian elimination. In this case, we'll use the adjugate method.

First, let's calculate the determinant of matrix \(\displaystyle A\):

\(\displaystyle \text{det}( A) =3( -6)( 3) +2( 4)( 2) +( -1)( 1)( -4) -( -1)( -6)( 2) -2( 1)( 3) -3( 4)( -1) =-36+16+4+12+6+12=14\)

Next, let's find the matrix of minors:

\(\displaystyle M=\begin{bmatrix} 18 & -2 & -10\\ 4 & -9 & -6\\ -8 & -2 & -18 \end{bmatrix}\)

Then, calculate the matrix of cofactors:

\(\displaystyle C=\begin{bmatrix} 18 & -2 & -10\\ -4 & -9 & 6\\ -8 & 2 & -18 \end{bmatrix}\)

Next, let's find the adjugate matrix by transposing the matrix of cofactors:

\(\displaystyle \text{adj}( A) =\begin{bmatrix} 18 & -4 & -8\\ -2 & -9 & 2\\ -10 & 6 & -18 \end{bmatrix}\)

Finally, we can find the inverse of matrix \(\displaystyle A\) by dividing the adjugate matrix by the determinant:

\(\displaystyle A^{-1} =\frac{1}{14} \begin{bmatrix} 18 & -4 & -8\\ -2 & -9 & 2\\ -10 & 6 & -18 \end{bmatrix}\)

\(\displaystyle A^{-1} =\begin{bmatrix} \frac{9}{7} & -\frac{2}{7} & -\frac{4}{7}\\ -\frac{1}{7} & -\frac{9}{14} & \frac{1}{7}\\ -\frac{5}{7} & \frac{3}{7} & -\frac{9}{7} \end{bmatrix}\)

Now, we can find matrix \(\displaystyle X\) by multiplying both sides of the equation \(\displaystyle AX=B\) by the inverse of matrix \(\displaystyle A\):

\(\displaystyle X=A^{-1} \cdot B\)

Substituting the given values:

\(\displaystyle X=\begin{bmatrix} \frac{9}{7} & -\frac{2}{7} & -\frac{4}{7}\\ -\frac{1}{7} & -\frac{9}{14} & \frac{1}{7}\\ -\frac{5}{7} & \frac{3}{7} & -\frac{9}{7} \end{bmatrix} \cdot \begin{bmatrix} 33\\ -21\\ -6 \end{bmatrix}\)

Calculating the multiplication, we get:

\(\displaystyle X=\begin{bmatrix} 3\\ 2\\ 1 \end{bmatrix}\)

Therefore, the variable matrix \(\displaystyle X\) is:

\(\displaystyle X=\begin{bmatrix} 3\\ 2\\ 1 \end{bmatrix}\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

In order to determine whether or not the method of undetermined coefficients can be applied to find a particular solution of the given equation, we must first check if the right-hand side of the equation is in the correct form.

That is, it must be a linear combination of exponential and/or trigonometric functions, or a product of these functions with polynomials. In this case, the right-hand side is +(-1)e(t), which is a linear combination of an exponential function and a constant. Therefore, the method of undetermined coefficients can be applied to find a particular solution to the given equation.

In order to determine whether the method of undetermined coefficients can be applied to find a particular solution for the given equation y'' + 2y' - y = (-1)e^(t), we need to analyze the form of the non-homogeneous term, which is (-1)e^(t). The method of undetermined coefficients can be applied when the non-homogeneous term is a polynomial, an exponential, a sine or cosine function, or a combination of these types.

In this case, the non-homogeneous term is an exponential function (-1)e^(t). Therefore, the method of undetermined coefficients can be applied to find a particular solution for the given equation.

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T-test is commonly used to examine whether two groups are significantly different from each other or not.

A t-test is an inferential statistic used to determine if there is a significant difference between the means of two groups and how they are related. T-tests are used when the data sets follow a normal distribution and have unknown variances, like the data set recorded from flipping a coin 100 times.

It is a statistical test that is used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually has an effect on the population of interest, or whether two groups are different from one another.

T-test is used to determine whether two groups are different or not.

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The T-test is commonly used to examine whether two groups are significantly different from each other or not.

A T-test is used to determine if two groups are different.

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Answer:

Step-by-step explanation:

A

Answer:

The answer is B,C,D and E

The points that show the proportionality rate 1/3 are (3, 1), (9, 3), (12, 4) and (18, 6).

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

We have constant of proportionality is 1/3.

And the proportionality is represented as x/y = k, where x and y are two expressions and k is constant.

So, x / y = 1/3

A) (5,8)

x/y = 5/8 ≠ 1/3

B) (3,1)

x/y = 1/3

C) (9,3)

x/y = 3/9 = 1/3

D) (12,4)

x/y = 4/12 = 1/3

E) (18,6)

x/y = 6/18 = 1/3

Therefore, B, C, D and E are the answers.

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The value of c that satisfies the equation  \(\sum_{n=1}^{\infty} e^{nc}=10\)  is approximately -0.0451.

What is a equation?

An equation is a mathematical statement that asserts the equality of two expressions.

To find the value of c such that the infinite series \(\sum_{n=1}^{\infty} e^{nc}\) is equal to 10, we can use the formula for the sum of an infinite geometric series with \(a = e^c\).

The formula for the sum of an infinite geometric series is given by:

S = a / (1 - r),

where S is the sum of the series, a is the first term, and r is the common ratio.

In this case, \(a = e^c\) and the common ratio \(r = e^c\).

We can rewrite the equation as:

\(10 = e^c / (1 - e^c)\)

Next, let's solve for c:

\(10(1 - e^c) = e^c\)

\(10 - 10e^c = e^c\)

\(10 = 11e^c\)

\(e^c = 10 / 11\)

Taking the natural logarithm (ln) of both sides:

\(c = ln(10 / 11)\)

Using a calculator, we can find the approximate value of c:

c ≈ -0.0451.

Therefore, the value of c that satisfies the equation  \(\sum_{n=1}^{\infty} e^{nc}=10\)  is approximately -0.0451.

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Answer:

See below.

Step-by-step explanation:

Function A.

x  y

3  3

5  7

6  9

slope = (9 - 7)/(6 - 5) = 2

y = 2x + b

3 = 2(3) + b

b = -3

y = 2x - 3

Function A is y = 2x - 3

Function B.

(0, 3)

(-5, 0)

slope = (0 - 3)/(-5 - 0) = -3/-5 = 3/5

b = 3

Function B is y = 3/5 x + 3

Function C is 3x + 1

The rate of change of a linear function is the slope.

Answer:

Function B

Function A

Function C

Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

The area of the shaded square is 4 square centimeters, and the radius of the circle is approximately 1.41 cm.

To find the area of the shaded square and the radius of the circle, we will follow these steps:
Step 1: Identify the dimensions of the square.
From the student question, we know that the square has sides of 2 cm each.
Step 2: Find the area of the square.
The area of a square can be calculated using the formula:

Area = side × side.
In this case, the area of the square is:

2 cm × 2 cm = 4 square centimeters.
Step 3: Find the diagonal of the square.
The diagonal of a square can be found using the Pythagorean theorem:

diagonal² = side² + side².
In this case, the diagonal² = 2 cm² + 2 cm² = 4 cm² + 4 cm² = 8 cm².
Taking the square root of both sides, we get: diagonal = √8 cm ≈ 2.83 cm.
Step 4: Find the radius of the circle.
Since the circle is inscribed in the square, its diameter is equal to the diagonal of the square.

Thus, the radius of the circle is half the diagonal.
Radius = diagonal ÷ 2 ≈ 2.83 cm ÷ 2 ≈ 1.41 cm.

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Step-by-step explanation:

(0 + a) = a

due to the addition property of zero.

what remains is

a + 8

Answer:

Hello your answer is either A. B. C. OR D.

Step-by-step explanation:

This is correct cus it cant be wrong
also my other acc
is brokededed =(

Answer:

it could be one of those answers

Step-by-step explanation:

:P

Nuggets~

An experiment usually has three kinds of variables: independent, dependent, and controlled. The independent variable is the one that is changed by the scientist.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.

The variable you alter, regulate, or change in an experimental study to examine its effects is known as an independent variable. It is named "independent" because it is unaffected by any other study variables.

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Answer:

a. Mean = £27928.57

b. Mean without Deva's income = £19416.67

Step-by-step explanation:

The mean is calculated by dividing the sum of values by number of values. Given 7 values will be used to calculate mean.

So,

Number of values = n = 7

Now,

\(Mean = \frac{Sum}{No.\ of\ values}\\=\frac{13500+27500+13750+79000+19250+27500+15000}{7}\\=\frac{195500}{7}\\=27928.5714..\)

Rounding off to two decimal places

Mean income = £27928.57

Now we have to calculate mean without Deva's income so the number of values will be 6 and the sum will be:

\(Sum = 195500-79000 = 116500\)

The mean without Deva's income is:

\(Mean = \frac{116500}{6} = 19416.6666..\)

Rounding off to 2 DP

Mean = £19416.67

Hence,

a. Mean = £27928.57

b. Mean without Deva's income = £19416.67

Answer:

11

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

half of IQR is 17

110 + 17 = 127 (this represents the 3rd quartile)

110 - 17 = 93 (this represents the 1st quartile)

The 3rd quartile represents 75% of the data so 75% of the students complete the test in 127 minutes or less

Answers:

Letters 'a', b, and h are never used.

Letters c and f show up twice each; e shows up 3 times.

=====================================================

Explanations:

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

None of the angle pairs mentioned are consecutive interior angles. These types of angles are on the same side of the transversal, and inside the parallel lines. So we never use option 'a'. We cross off option h as well for pretty much identical reasoning. Options 'a' and h are the same thing, just slightly different wording.

We cross off option b as well because none of the angles add up to 90 degrees.

The percentage of the population in decimal is p=0.42

The mean of the sample of the binomial distribution=75.6

The standard deviation of the sample of the binomial distribution=6.622

How to convert a decimal to a percentage?

To convert a decimal number into a percentage value, multiply the decimal by 100.

What is binomial distribution?

The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.

Given that,

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

n = 180

Using the binomial distribution,

mean = \(n \times p\) = \(180 \times 0.42\) = 75.6

standard deviation = \(\sqrt{n \times p \times q}\) = \(\sqrt{180 \times 0.42 \times 0.58}\) = 6.622

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The percentage of the population in decimal is p=0.42

The mean of the sample of the binomial distribution=75.6

The standard deviation of the sample of the binomial distribution=6.622

How to convert a decimal to a percentage?

To convert a decimal number into a percentage value, multiply the decimal by 100.

What is binomial distribution?

The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.

Given that,

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

n = 180

Using the binomial distribution,

mean =   75.6

standard deviation =  6.622

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Answer:

3.5

Step-by-step explanation:

I think it's mid point is 3.5

Answer:

1: 9,225000000000000000

2: 0.000000063

Step-by-step explanation:

Answer:

0.000000063

Step-by-step explanation:

Answer:

X= 3/2

Step-by-step explanation:

hope this helps

Answer:

If a line is parallel with Another...

They will have the same Gradient or equal Gradient (m)

So for two parallel lines

m=m'

So the gradient of the second or other line would be Same

Now

y= -3x + 10

comparing with

y= mx + c

m = -3

So the other line would have the same gradient.

from the options provided in the comment section...

y= -3x + 12

Is your Most probable answer cos it has the same gradient

Answer:

15

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

Answer:

50minutes or 5/6hr

Step-by-step explanation:

Speed of Man is 10km/hr

or 10km/60min = 1km/6min.

5km can be distributed in five parts as like

1+1+1+1+1

So time taken, 6+5+6+5+6+5+6+5+6 = 50min.

Ans will be 50min or 5/6hr