Find the slope (rate of change) of a line that passes through (-2, -3) and (1, 1).

1. 1/3
2. 1
3. 2
4. 4/3

The length of an edge of the cubical tank is approximately 9.41 cm.

To find the length of an edge of the cubical tank, we can use the given information.

We know that the water in the cubical tank was poured into an empty rectangular container until it was completely filled. Therefore, the volume of water in the rectangular container is equal to the volume of the cubical tank.

Let's assume that the length of an edge of the cubical tank is x cm. Since it is a cube, the volume of the cubical tank is x^3 cubic cm.

Now, let's calculate the volume of the rectangular container. We know that there were 788 cm of water left in the cubical tank. So, the volume of the rectangular container is 788 cubic cm.

Since the volume of the cubical tank is equal to the volume of the rectangular container, we have the equation: x^3 = 788.

To solve for x, we take the cube root of both sides of the equation: x = ∛788.

Calculating this, we find that x ≈ 9.41 cm.

Therefore, the length of an edge of the cubical tank is approximately 9.41 cm.

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Answer:

Zach chose C as the correct answer

Answer:

588 kilómetros

Step-by-step explanation:

La función con la que estamos trabajando según la pregunta es;

F (x) = 6x ^ 2 -12

Ahora, la pregunta que simplemente nos hace es encontrar el valor de F (x) dado que x = 10

Entonces, lo simple que hacemos aquí es hacer una sustitución de x = 10 Eso sería;

F (10) = 6 (10) ^ 2 - 12 = 600-12 = 588

The correct option is A) 5 – 1 ≠ 1 – 5  shows why the commutative property doesn't work under subtraction

The commutative property works for addition and multiplication. It says that when adding or multiplying, you can switch the order of the numbers around and still get the same answer.

For instance, in simple terms, the commutative property of addition states that changing the order of the addends will not change the sum. That is, a + b = b + a.

Similarly, the commutative property of multiplication states that changing the order of the factors will not change the product. That is, a × b = b × a.

However, the commutative property does not work for subtraction and division. You cannot change the order of numbers around and still get the same answer when you're subtracting or dividing. In other words, the order of the numbers matters in these cases.

That is, a - b ≠ b - a; a / b ≠ b / a.Here, the options C and D are not valid since they both represent addition operations, whereas the question demands subtraction. Between options A and B, A represents the subtraction operation and the result for this option is not the same as the result for the reverse subtraction operation which is why A is the right option.

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The volume of the composite figure is

8379 ft

The volume of the composite figure is solved by adding up the individual volumes

volume of the composite figure = volume of the rectangular prism+ volume of the triangular prism

volume of the composite figure = (area of base * height) + (area of base * height/3)

volume of the composite figure = )21 * 21 * 16) + (21 * 21 * 9/3)

volume of the composite figure = 7056 + 1323

volume of the composite figure = 8379 ft

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Answer:

144, but i think it's B

Step-by-step explanation:

36 * 4 = 144

Answer:

Common ratio : 2

nth term : 4 × 2^(n-1)

Step-by-step explanation:

Good luck *_*

Hope this helps ^^

The distance that Evan has left to hike is 13/30 mile.

From the information, Eva is hiking a real that has a length of 5/6 miles.

He has also hiked 2/5 miles. Therefore, in this situation, the distance that he has left will gotten by subtracting the fractions.

This will be:.

Distance left = Total distance - Distance hiked

Distance left = 5/6 - 2/5

= 25/30 - 12/30

= 13/30

The distance is 13/30 miles.

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We can be 90% confident that the true average number of sick days for an employee who is 28 years old falls between 4.31 and 9.85 days per year, based on the provided data

First, we can plug in the value of 28 for Age in the regression line equation to get the estimated average number of sick days for an employee who is 28 years old:

Next, we can use the standard error to calculate the margin of error for a 90% confidence interval:

Finally, we can construct the confidence interval by adding and subtracting the margin of error from the estimated average number of sick days:

Confidence interval = 7.079032 ± 2.767462 = (4.31157, 9.84649)

Therefore, we can be 90% confident that the true average number of sick days for an employee who is 28 years old falls between 4.31 and 9.85 days per year, based on the provided data.

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Complete Question:

The estimated regression line and the standard error are given. Sick Days=14.310162−0.2369(Age) se=1.682207 Find the 90% confidence interval for the average number of sick days an employee will take per year, given the employee is 28. Round your answer to two decimal places.

Employee 1 2 3 4 5 6 7 8 9 10

Age 30 50 40 55 30 28 60 25 30 45

Sick Days 7 4 3 2 9 10 0 8 5 2.

Answer:

scalene triangle

Step-by-step explanation:

Answer:

just flip it

Step-by-step explanation:

Answer:

1) B) 10

2) B) 9

Step-by-step explanation:

1) 10x+15=115

10x=100

x=10

2) 12x+17=125

12x=108

x=9

Answer:

B

Step-by-step explanation:

The guy above me is correct

Answer:

-8

Step-by-step explanation:

-5x-15=25

-5x=40

x= -8

Answer:

\(y = 23\).

Step-by-step explanation:

Two right triangles are congruent by the \(\texttt{HL}\) postulate if and only if:

In this example, the hypotenuses of the two right triangle are \(\textsf{CO}\) and \(\textsf{FD}\), respectively.

For these two right triangles to be congruent by \(\texttt{HL}\), these two lengths should be equal to one another. Equate these two lengths and solve for \(y\):

\(\textsf{CO} = \textsf{FD}\).

\(73 = (3\, y + 4)\).

\(y =23\).

Answer

1

The congruent side must be between the congruent angles to be ASA

"1" has a congruent angle and a congruent side, but there are vertical angles, and these angles are congruent, so it is ASA

a)

Form:

The given form is factored form of quadratic equation.

Key features:

Factors of the quadratic equation are;

x= 5 and x = -3

Specific key features:

Converting the factored form in standard form,

x² -2x -15 = 0

Coefficients:

a = 1

b = -2

c = -15

Direction of opening:

Coefficients of x² is positive, thus the parabola opens Upwards.

b)

Form:

The given form is vertex form of quadratic equation.

Key features:

Standard form of vertex from:

a( x-h )² + k

Specific key features:

a, h, k are real numbers and a≠ 0

Direction of opening:

Coefficients of x² is negative, thus the parabola opens Downwards.

c)

Form:

The given form is Standard form of quadratic equation.

Key features:

Standard form of quadratic equation:

ax² +bx +c = 0

Specific key features:

Coefficients:

a = -1

b = 3

c = 7

Direction of opening:

Coefficients of x² is negative, thus the parabola opens Downwards.

Hence Quadratic equation can be elaborated in this way.

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To calculate the principal repaid by the 17th monthly payment of $750 on a $22,000 loan at 15% compounded monthly, we need to calculate the monthly interest rate, the remaining balance after 16 payments, and the interest portion of the 17th payment.

The monthly interest rate is calculated by dividing the annual interest rate by the number of compounding periods per year. In this case, it would be 15% / 12 = 1.25%.

The remaining balance after 16 payments can be calculated using the loan balance formula:

\($$B = P(1 + r)^n - (PMT/r)[(1 + r)^n - 1]$$\)

Where B is the remaining balance, P is the initial principal, r is the monthly interest rate, n is the number of payments made, and PMT is the monthly payment amount.

Substituting the values into the formula, we get:

\($$B = 22000(1 + 0.0125)^{16} - (750/0.0125)[(1 + 0.0125)^{16} - 1]$$\)

After calculating this expression, we find that the remaining balance after 16 payments is approximately $17,135.73.

The interest portion of the 17th payment can be calculated by multiplying the remaining balance by the monthly interest rate: $17,135.73 * 0.0125 = $214.20.

Therefore, the principal repaid by the 17th payment is $750 - $214.20 = $535.80.

A 95% confidence interval around this sample proportion is; (0.0234, 0.0866)

The formula for the confidence interval of proportion is;

CI = p ± z√(p(1 - p)/n)

where;

p is sample proportion

n is sample size

z is z-score at confidence level

Sample proportion is gotten by the formula;

p = x/n

p = 11/200

p = 0.055

At CL of 95%, z = 1.96

Thus;

CI = 0.055 ± 1.96√(0.055(1 - 0.055)/200)

CI = 0.055 ± 0.0316

CI = (0.0234, 0.0866)

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The equivalent expression of the expression \(\sqrt[4]{\frac{16x^{11}y^{8} }{81x^{7}y^{6} } }\) is \(\frac{2}{3}\sqrt[x]{y}\)

What is equivalent expression?

The expression is given as-

\(\sqrt[4]{\frac{16x^{11}y^{8} }{81x^{7}y^{6} } }\)

Take the 4th root of 16 and 81

\(\frac{2}{3} \sqrt[4]{\frac{x^{11} y^{8} }{x^{7}y^{6} } }\)

Apply the law of indices

\(\frac{2}{3}\sqrt[4]{x^{11 - 7} y^{8 - 6} }\)

Evaluate the difference

\(\frac{2}{3}\sqrt[4]{x^{4}y^{2} }\)

Take the 4th root of y^2

\(\frac{2}{3}x\sqrt{y}\)

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Answer:

x = 136

Step-by-step explanation:

The two angles are vertical angles and vertical angles are equal

x = 136

Answer:

x=13

Step-by-step explanation:

The two angles are vertical angles and vertical angles are equal  

x = 136

Answer:

544

Step-by-step explanation:

You can Section the figure off into 3 and find the area of each. The sum was cut off in the image, but the total is 544 :)

Step-by-step explanation:

First, solve the volume of the solid without the groove:

V1 = (14 cm)(8 cm)(6cm) = 672 cm^3

Now solve for the volume of the groove:

V2 = (8 cm)(8 cm)(2 cm) = 128 cm^3

The volume of the block that Goran made is

V = V1 - V2 = 544 cm^3

The numeric values and limits for the function are given as follows:

For Graph 1, we have that the function has no breaking points, hence both the numeric value and the limit at x = -3 are of -4.

For Graph 2, the function has an open circle at x = -3, meaning that the function is not defined for x = -3, that is, f(-3) = DNE. To the left and to the right of x = -3, y -> 4, hence the limit is of 4.

Graph 3 is similar to graph 2, with the lone difference being the closed circle at y = 1 representing the numeric value, hence:

f(-3) = 1, lim x -> -3 f(x) = 4.

For graphs 4 and 5, the function approaches x = -3 by different values from left and right, meaning that the limit does not exist in any of the cases. The numeric values are represented by the closed circle.

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Answer:

e=5

Step-by-step explanation:

7e-4=31  Add 4 on both sides of the equation.

7e=35     Divide both sides of the equation by 7.

/7   /7

e=5

I hope this helps!! Have a great day o(*U▽U*)ブ

Answer:

do it got a picture

on the edge2020

Step-by-step explanation:

in Marie's drawing, her dining table measures 1 ft by 1.25 ft, and her kitchen measures 3 ft by 3.5 ft.

what is  drawing?

Drawing is a visual art form in which an artist uses various tools and materials, such as pencils, pens, charcoal, ink, and pastels, to create two-dimensional images on a surface, such as paper or canvas.

what is dimensional images?

Dimensional images are images that convey the impression of depth or three-dimensionality. They give the illusion of depth by creating the illusion of spatial relationships between the objects depicted in the image.

In the given question,

If Marie is drawing everything with dimensions that are 1/4 of the actual size, we can find the dimensions of her dining table and kitchen in her drawing by multiplying the actual dimensions by 1/4.

Dining table:

Actual dimensions: 4 ft by 5 ft

Drawing dimensions: (1/4) x 4 ft by (1/4) x 5 ft

Simplifying: 1 ft by 1.25 ft

Living room:

Actual dimensions: 12 ft by 14 ft

Drawing dimensions: (1/4) x 12 ft by (1/4) x 14 ft

Simplifying: 3 ft by 3.5 ft

Therefore, in Marie's drawing, her dining table measures 1 ft by 1.25 ft, and her kitchen measures 3 ft by 3.5 ft.

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Answer:

8 girsl can sing

8 girls cannot sing

Total number of girls = 16

Step-by-step explanation:

The ratio of girls who csan sing to girls who cant sing is 1:1

Which means the number of girls who can sing and cannot sing are equal .

IF the number of girls who can sing is 8 then the number of girls who cant sing is also 8.

8:8

Dividing both sides by 8 gives

1:1

The total number of girls would be (8+8= )16.

Answer:

B

Step-by-step explanation:

3x + 2 - 2 = 11 -2

3x = 9

3x divided by 3 = 9 divided by 3

x=3

2x⁴+2x³-12x² is the correct option.

Given is an expression, 2x²(x+3)(x-2), we need to expand it,

To expand the given expression, we must multiply each term of every expression to each term of the other two expressions.

The expansion is as follows :

= 2x²(x+3)(x-2)

= 2x²(x²+3x-2x-6)

= 2x²(x²+x-6)

= 2x⁴+2x³-12x²

Thus, the required expended form is 2x⁴+2x³-12x².

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The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.

If Chastity ran a hypothesis test with an alpha level of .01 and her test statistic fell outside of the critical region, it means that the test statistic does not provide enough evidence to reject the null hypothesis.

In this case, Chastity should fail to reject the null hypothesis and accept it as the plausible explanation. This implies that there is not enough evidence to support the alternative hypothesis.

When a test statistic falls outside of the critical region, it indicates that the observed data is not extreme enough to reject the null hypothesis. The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.

In summary, when Chastity's test statistic falls outside of the critical region, she should fail to reject the null hypothesis and accept it as the plausible explanation. This means that there is not enough evidence to support the alternative hypothesis at the given alpha level of .01.

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