Three tanks have a total capacity of 266 gallons. If two tanks are the same size and the
other tank is half of their size, how many gallons does the smallest tank hold

Answer:

x=18°

hope it helps.......

Answer:

x=15 degrees

hope it helps you

Answer:

x = -10

Step-by-step explanation:

62 = 12 - 5x

-12 .   -12

62 - 12 = -5x

50 = -5x

__ .  __

-5 .    -5

-10 = x    

Answer:

Step-by-step explanation:

Answer:

the approximate distance between the points is

√25+25 = 5√2

=7.07

Step-by-step explanation:

Answer:

w = 20m

l = 60m

Step-by-step explanation:

P = 2l + 2w

We know the perimeter = 160 and we know that l = 3w, so write what we know and solve for w.

P = 2l x 2w

160 = 2(3w) + 2w

160 = 6w + 2w

160 = 8w

Divide both sides by 8

20 = w

Now we can figure out the length, which is 3(w) or 3 x 20 = 60

Answer:

w = 20m, l = 60m

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(a)

the angles shown are alternate interior angles and are congruent

(c)

since they are congruent , then

- 1 + 8x = 7x + 11 ( subtract 7x from both sides )

- 1 + x = 11 ( add 1 to both sides )

x = 12

(d)

then

7x + 11 = 7(12) + 11 = 84 + 11 = 95

- 1 + 8x = - 1 + 8(12) = - 1 + 96 = 95

simplify both sides

There is not a solution for this equation.

Answer:

1 Pm

Step-by-step explanation:

Answer:

3:18 Pm

Step-by-step explanation:

Nice picture of mute button

The solution to the equation given by M * M * M = 729 is 9

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

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7 is not included and hence it is depicted on the number line using an open dot. Hence, solution to the inequality is option B.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

The given inequality is:

x + 8 > 15

Subtracting 8 on both sides of the equation:

x + 8 - 8 > 15 - 8

x > 7

Here, 7 is not included and hence it is depicted using an open dot.

Hence, option B is the correct answer.

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Answer:

The correct answer is-

b. The degree of the function is even, so the ends of the graph continue in the same direction. Because the leading coefficient is negative, the left side of the graph continues down the coordinate plane and the right side also continues downward.

Step-by-step explanation:

I took the test and got it right.

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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Answer:

variable x has value = -9

Step-by-step explanation:

x − 56 = −65

we have to isolate x by separating it from  56 by using property of equality.

to isolate x, we add 56 on both sides of equation.

x − 56 + 56 = −65 + 56

=> x = -9

Thus, variable x has value = -9

Answer:

is it c??

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because of the dashes on the angles, angle A is congruent to angle D and angle B is congruent to angle E. Since we know that 2 angles are congruent, the triangles are similar because of AA similarity

7. y=x+4

8. y=(-1/4)x+7

9. y=(-1/3)x-1

Answer:

the percent error in the student's measurement is 4.65%.

Step-by-step explanation:

The percent error can be calculated using the formula:

| (measured value - actual value) / actual value | * 100%

In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:

| (2.7 - 2.58) / 2.58 | * 100% = 4.65%

Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.

Therefore, the percent error in the student's measurement is 4.65%.

Answer:

A

Step-by-step explanation:

Trust me it's correct.

You are solving for the system of equations.

If λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

The equation Av = λv, where v is a non-zero vector, is satisfied by an eigenvector v and an eigenvalue given a square matrix A. In other words, the eigenvector v is multiplied by the matrix A to produce a scalar multiple of v. Due to their role in illuminating the behaviour of linear transformations and differential equation systems, eigenvectors play a crucial role in many branches of mathematics and science. When the eigenvector v is multiplied by A, the eigenvalue indicates how much it is scaled.

The eigenvalue and eigenvector states that, let v be a non-zero eigenvector of A corresponding to the eigenvalue λ.

Then, we have:

Av = λv

Taking transpose on both sides we have:

\(v^T A^T = \lambda v^T\)

The above equations thus relates transpose of vector and transpose of A to λ.

Now, consider a matrix:

\(\left[\begin{array}{cc}1&2\\3&4\\\end{array}\right]\)

Now, the eigen values of this matrix are λ1 = -0.37 and λ2 = 5.37.

The eigenvectors are:

\(v1 = [-0.8246, 0.5658]^T\\v2 = [-0.4159, -0.9094]^T\)

Now, for transpose of A:

\(A^T=\left[\begin{array}{cc}1&3\\2&4\\\end{array}\right]\)

The eigen vectors are:

\(u1 = [-0.7071, -0.7071]^T\\u2 = [0.8944, -0.4472]^T\)

Hence, we see that, if λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

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Answer:

(1,-2)

Step-by-step explanation:

Choose any value for x that is in the domain to plug into the equation.

Choose 0 to substitute in for x to find the ordered pair.

(0, -19/6)

Choose 1 to substitute in for x to find the ordered pair.

Remove parentheses.

y= -19/6 + 7(1)/6

Simplify

y=2

Use the

x and y values to form the ordered pair.

(1,−2)

Answer:

A group of people forming less than half of total population of a region or country

can be called as

Answer:

I'm thinking 15 units, but tell me if i'm wrong

Step-by-step explanation:

Since the distance is usually the absolute value of the distance between the two points, 5 plus 10 is 15. Hope this helps! :)

The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

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Answer:

Multiplication

Step-by-step explanation:

Answer:

75 inches

Step-by-step explanation:

I got u dawg

The maximum point that the middle of the rope reaches is 75 inches above the ground.

The correct answer is option (A)

"An amplitude of the cosine function is the amount by which it varies above and below the x -axis."

For given example,

The height of the middle of the rope, in inches, can be modeled by a cosine function with an amplitude of 36 inches.

⇒ h = 2a cos(x)

with a = 36 inches

If the minimum point that the middle of the rope reaches is 3 inches above the ground,

⇒ h = 2a cos(x) + 3

When the middle of the rope reaches the maximum point, then x = 0

⇒ h = 2 × 36 × cos(0) + 3

⇒ h = 72 × 1 + 3

⇒ h = 72 + 3

⇒ h = 75 inches

Therefore, the maximum point that the middle of the rope reaches is 75 inches above the ground.

The correct answer is option (A)

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The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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Answer:

The 90% confidence interval for the population mean is (300.78, 315.22).

Step-by-step explanation:

We have to calculate a 90% confidence interval for the mean.

The population standard deviation is know and is σ=17.

The sample mean is M=308.

The sample size is N=15.

As σ is known, the standard error of the mean (σM) is calculated as:

\(\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{17}{\sqrt{15}}=\dfrac{17}{3.873}=4.389\)

The z-value for a 90% confidence interval is z=1.645.

The margin of error (MOE) can be calculated as:

\(MOE=z\cdot \sigma_M=1.645 \cdot 4.389=7.22\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=M-t \cdot s_M = 308-7.22=300.78\\\\UL=M+t \cdot s_M = 308+7.22=315.22\)

The 90% confidence interval for the population mean is (300.78, 315.22).

Answer:

The Answer is A

Step-by-step explanation: Edge

Answer:

4 words in 2 minutes

Step-by-step explanation:

36 / 18 = 2

2 words per minutes

2 x 2 = 4

You can type 4 words in two minutes

Step-by-step explanation:

So if you can type 36 word in 18 minutes then divide 36 by 18 to get 2 words per minute. Now multiply 2 words by 2 minutes to get 4 words per minute, your answer.

Answer:

1

Step-by-step explanation:

the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)

Answer:

The correct answer to your question I believe is 1

Step-by-step explanation:

So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!