What is the equation of the line that passes through the point (9, -7) and has a slope of zero? A. x=9 B. x= -7 c. y=9 D y = -7​

Answer:

Part C

Step-by-step explanation:

Answer:

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A. (8 * t) + (8 * 8) is equivalent to 8t + 64

B. 4t + 8 + 4t is equivalent to 8t + 8

C. 4(2t + 2) is equivalent to 8t + 8

D. 8t + 64 is equivalent to 8t + 64

E. 8t + 16 is equivalent to 8t + 16

F. (8 + t) + (8 + 8) is equivalent to 16 + t.

So the expressions that are equivalent to 8(t + 8) are B and C, the expression that is equivalent to 8t + 8 is E, and the expression that is neither is F.

In the given problem, we are comparing the given expressions to see if they are equivalent to 8(t + 8), 8t + 8, or neither.

Expression A: (8 * t) + (8 * 8) = 8t + 64

This expression is equivalent to 8t + 64, which is not the same as 8(t + 8) or 8t + 8.

Expression B: 4t + 8 + 4t = 8t + 8

This expression is equivalent to 8t + 8, which means that adding up 4t and 8, and then adding 4t again to the result is the same as multiplying 8 with t and adding 8 to the result.

Expression C: 4(2t + 2) = 8t + 8

This expression is also equivalent to 8t + 8, which means that multiplying 2t + 2 with 4 is the same as multiplying 8 with t and adding 8 to the result.

Expression D: 8t + 64 = 8t + 64

This expression is the same as 8t + 64, which is not equivalent to either 8(t + 8) or 8t + 8.

Expression E: 8t + 16 = 8t + 16

This expression is the same as 8t + 16, which is not equivalent to either 8(t + 8) or 8(t + 8).

Expression F: (8 + t) + (8 + 8) = 16 + t

This expression is not equivalent to either 8(t + 8), 8t + 8, or neither.

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--The question is incomplete, answering to the question below--

"Drag each expression to show whether it is equivalent to 8(t + 8), 8t + 8, or neither.

A. (8 * t) + (8 * 8)

B. 4t + 8 + 4t

C. 4(2t + 2)

D. 8t + 64

E. 8t + 16

F. (8 + t) + (8 + 8)"

Answer: 2.25 or 2  1/4 pound of walnut

Step-by-step explanation: So here you need to figure out how many pound of walnut can you purchase with 1 dollar first. To do that, you need to -- 3.75 ÷ 3/4 which you can convert to 3.75 ÷ 0.75 and the answer would be 5.

Now if you do this -- 11.25 ÷ 5 = 2.25

So the answer is 2.25 or 2 and 1/4 pound of walnut

Answer:

the 2nd colonie of bacteria grows faster

Step-by-step explanation:

Answer:

a. Bacteria B grows at a faster rate because it has a higher number than Bacteria A. By solving the problem of both Bacteria A and Bacteria B, you would see why Bacteria B grows at a faster rate.

b. Bacteria B grows faster by 35000

Step-by-step explanation:

For the equation y=mx+b, we need to identify "b" (the y-intercept).

For the equation y=mx+b, we need to identify "b" (the y-intercept).

If you are familiar with the slope (m), you can utilize any of the given points by replacing the Y value with y and the X value with x.

Find the solution to b = Y-mX.

The quantity m is known as the line's slope in the equation for a straight line, y = mx + b.

If x is set to 0, then y will equal b because it will equal m • 0 + b.

The graph's y-axis crossing point, designated by the number b, is located there.

To determine the y-intercept, use the slope and a single point (b).

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To find the work done by the material, we can use the equation for work in terms of pressure and volume:

Work = -pΔV

However, in this case, the pressure remains constant, so the equation simplifies to:

Work = -p(V2 - V1)

Given:

Temperature T1 = 272 K

Temperature T2 = 300 K

Pressure p = constant

To find the work done, we need to evaluate the change in volume (ΔV) between the initial and final states. To do this, we can rearrange the equation given to solve for ΔV:

p = A / (V1 * T1) - B / (V1 * T1^2)

Simplifying, we have:

(V2 - V1) = A / (p * T2) - B / (p * T2^2)

Now, we can substitute the given values into the equation and calculate the work done:

Work = -p(V2 - V1)

Remember that pressure (p) is constant, so we can substitute it directly into the equation.

Make sure to provide the appropriate units for pressure, volume, and work in order to obtain the correct numerical value.

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Answer:

X = 21

Step-by-step explanation:

We know that's 90 degrees in total so we add both angles and equal them to 90 to solve for x

x + 4 + 3x + 2 = 90          Combine like terms

4x + 6 = 90

      - 6    -6                        subtract 6

4x = 84

/4      /4                       isolate x

x = 21

Answer:

182

Step-by-step explanation:

take 520 and multiply by 0.35

The number of female students participated in a chess tournament is 338.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, 520 students participating in a chess tournament, 35% were male.

Number of male students = 35% of 520

35/100 ×520

= 0.35×520

= 182

So, the number of female students

= 520-182

= 338

Therefore, the number of female students participated in a chess tournament is 338.

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The table has a greater rate of change.

The rates of change are equal.

In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.

The slopes are equal.

The equation has a greater slope.

In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.

The function rule has a greater slope.

The slopes are equal.

In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.

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The length of the dilated line segment is 80 units.

Dilation is the increase or decrease in the size of a figure or object.

The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).

The distance between points (8, 32) and (56, 96) is:

\(Distance = \sqrt{(96-32)^2+(56-8)^2} =80\ units\)

The length of the dilated line segment is 80 units.

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The interval containing the middle 95% of the simulation data is approximately 0.3426 to 0.5374.

To create an interval containing the middle 95% of the data based on the simulation results, we can use the concept of confidence intervals. Since the simulation was repeated 100 times, we can calculate the proportion of tails in each set of 100 flips and then find the range that contains the middle 95% of these proportions.

Let's calculate the interval:

Calculate the proportion of tails in each set of 100 flips:

Proportion of tails = 44/100 = 0.44

Calculate the standard deviation of the proportions:

Standard deviation = sqrt[(0.44 * (1 - 0.44)) / 100] ≈ 0.0497

Calculate the margin of error:

Margin of error = 1.96 * standard deviation ≈ 1.96 * 0.0497 ≈ 0.0974

Calculate the lower and upper bounds of the interval:

Lower bound = proportion of tails - margin of error ≈ 0.44 - 0.0974 ≈ 0.3426

Upper bound = proportion of tails + margin of error ≈ 0.44 + 0.0974 ≈ 0.5374

Therefore, the interval containing the middle 95% of the simulation data is approximately 0.3426 to 0.5374.

Now, we can compare the observed proportion of 44 tails in 100 flips with the simulation results. If the observed proportion falls within the margin of error or within the calculated interval, then it can be considered consistent with the simulation results. If the observed proportion falls outside the interval, it suggests a deviation from the expected result.

Since the observed proportion of 44 tails in 100 flips is 0.44, and the proportion falls within the interval of 0.3426 to 0.5374, we can conclude that the observed proportion is within the margin of error of the simulation results. This means that the result of 44 tails in 100 flips is reasonably likely to occur with a fair coin based on the simulation.

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The three-digit number is 194. Using the given information:x - 3 cannot be 0.x cannot be 3.The ones digit cannot be 3, so x must be greater than or equal to 4.

Let the ones digit be x.Tens digit = x + 5Hundred digit = (x + 5) - 8 = x - 3The number is 3-digit, so the hundreds digit cannot be zero.Therefore, the ones digit is greater than or equal to 1 and less than or equal to 9.The tens digit must be greater than or equal to 0 and less than or equal to 9.The hundreds digit must be greater than or equal to 1 and less than or equal to 9.Using the given information:x - 3 cannot be 0.x cannot be 3.The ones digit cannot be 3, so x must be greater than or equal to 4.Using x = 4, x = 5, x = 6 and x = 7, we get:Tens digit = 4 + 5 = 9, hundreds digit = 4 - 3 = 1. Therefore, the number is 194.

We can use algebra to solve the problem.Using the information in the question:x - 3 = hundreds digit x + 5 = tens digit. We need to find the value of x, so we can use the equation:x - 3 = tens digit - 8x - 3 = x + 5 - 8Simplifying:x - 3 = x - 3Therefore, we have:0 = 0This means that any value of x will satisfy the given information.In other words, there are many three-digit numbers that have a tens digit that is 5 more than the ones digit and a hundreds digit that is 8 less than the tens digit. However, we also know that the hundreds digit cannot be zero.Therefore, the ones digit is greater than or equal to 1 and less than or equal to 9.The tens digit must be greater than or equal to 0 and less than or equal to 9.The hundreds digit must be greater than or equal to 1 and less than or equal to 9.Using the given information:x - 3 cannot be 0.x cannot be 3.The ones digit cannot be 3, so x must be greater than or equal to 4.Using x = 4, x = 5, x = 6 and x = 7, we get:Tens digit = 4 + 5 = 9, hundreds digit = 4 - 3 = 1. Therefore, the number is 194.

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HL stands for hypotenuse-Leg

HA stands for angle-angle

LL stands for side-side

LA stands for angle-side.

HL Congruence Property: This property states that if the hypotenuse  and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the two triangles are congruent.

HA Congruence Property: This property states that if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the two triangles are congruent.

LL Congruence Property: This property states that if the corresponding sides of two triangles are congruent, then the two triangles are congruent.

LA Congruence Property: This property states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

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The HL Congruence Property, HA Congruence Property, LL Congruence Property, and LA Congruence Property are properties used to prove that two triangles are congruent. Congruent triangles have the same size and shape.

1. HL Congruence Property:
The HL Congruence Property states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent. "HL" stands for "Hypotenuse-Leg." This property is based on the fact that if the hypotenuse and one leg of a right triangle are equal to the corresponding parts of another right triangle, then all three corresponding sides of the triangles will be equal, and the triangles will have the same shape.

For example, if we have two right triangles, triangle ABC and triangle DEF, and we know that AB is congruent to DE (one leg), and AC is congruent to DF (hypotenuse), then we can conclude that triangle ABC is congruent to triangle DEF.

2. HA Congruence Property:
The HA Congruence Property states that if two angles and the side between them of one triangle are congruent to two angles and the side between them of another triangle, then the two triangles are congruent. "HA" stands for "Angle-Side-Angle." This property is based on the fact that if two angles and the side between them are equal in two triangles, then the remaining angles and sides will also be equal, and the triangles will have the same shape.

For example, if we have two triangles, triangle ABC and triangle DEF, and we know that angle A is congruent to angle D, angle B is congruent to angle E, and side AB is congruent to side DE, then we can conclude that triangle ABC is congruent to triangle DEF.

3. LL Congruence Property:
The LL Congruence Property states that if two pairs of corresponding sides of two triangles are congruent, then the triangles are congruent. "LL" stands for "Leg-Leg." This property is based on the fact that if two pairs of corresponding sides of two triangles are equal, then the remaining side and angles will also be equal, and the triangles will have the same shape.

For example, if we have two triangles, triangle ABC and triangle DEF, and we know that AB is congruent to DE and BC is congruent to EF, then we can conclude that triangle ABC is congruent to triangle DEF.

4. LA Congruence Property:
The LA Congruence Property states that if two pairs of corresponding angles of two triangles are congruent, and the included sides are congruent, then the triangles are congruent. "LA" stands for "Leg-Angle." This property is based on the fact that if two pairs of corresponding angles and the included side of two triangles are equal, then the remaining side and angles will also be equal, and the triangles will have the same shape.

For example, if we have two triangles, triangle ABC and triangle DEF, and we know that angle A is congruent to angle D, angle B is congruent to angle E, and side AB is congruent to side DE, then we can conclude that triangle ABC is congruent to triangle DEF.

These properties provide a way to prove that two triangles are congruent by comparing their corresponding sides and angles. By identifying congruent parts, we can establish the congruence of the entire triangle. Remember to apply the appropriate property based on the given information to determine the congruence of triangles.

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Answer:

That is an interesting fact! Thank you. If you need help, let me know and I may be able to help.

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The time it will take the second crocodile to finish its snack is 120 seconds

Let x represent the rate of the first crocodile and let y represent the rate of the second crocodile.

The two crocodiles working together can finish a snack in 40 seconds. Thus;

(1/x + 1/y)40 = 1

It takes one of the crocodiles 60 seconds to finish its snack. Thus;

(1/x + 1/60)40 = 1

40/x + 2/3 = 1

x = 120 seconds

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Complete question:

Two crocodiles together can finish their snack in 40 seconds. one of the crocodiles can finish the snack in 60 seconds. how long will it take the second crocodile to finish the same snack?

Answer:

2.5 years

Step-by-step explanation:

convert percent to a decimal --> 5% = .05

y = number of years

$100 = 0.05y ($800)

100/800 = 0.05y

0.125 = 0.05y

2.5 = y

The correct answer is:

**C) 0.28**

The sum of deviations refers to the sum of the differences between individual data points and the mean of the dataset. In any dataset, the sum of deviations from the mean will always equal 0.

This is because, when calculating the mean, you sum all the data points and then divide by the number of data points. The mean represents the "middle" or "balance" point of the dataset. When you add up the differences between each data point and the mean, the positive and negative deviations will cancel each other out, resulting in a sum of 0.

So, any non-zero value for the sum of deviations is impossible. In this case, 0.28 is the only non-zero value.

Answer:

4

Step-by-step explanation:

Answer:

1. wavelength

2.trough

3.node

4.peak

Step-by-step explanation:

Answer:

2.8 hours

Step-by-step explanation:

How long did it take them to drive to the grandparents' house and how long did it take them to drive back?

To calculate the time it took to drive to the grandparents' house, we divide the distance by the average speed: 140 mi / 56 mi/h = 2.5 hours

To calculate the time it took to drive back, we divide the distance by the average speed: 140 mi / 50 mi/h = 2.8 hours.

The given statement is true. Rank A = rank M

To prove this, we can use formula which states that rank of a matrix A is equal to the dimension of its row space or column space.

Let's consider the matrix M of TA with respect to bases B of Rm and B of Rn. Since M is the matrix of a linear transformation, its row space and column space are the same as the range of TA.

Now, according to the hint, we can use formula for both matrices A and M. We have rank A = dimension of row space of A and rank M = dimension of row space of M = dimension of column space of M (since row space and column space of M are the same).

Since M is the matrix of TA, its column space is a subspace of the range of TA. Therefore, dimension of column space of M ≤ dimension of range of TA. But we know that rank A = dimension of range of TA.

Hence, we have rank M ≤ rank A.

On the other hand, we can also consider the matrix A as the matrix of a linear transformation from Rn to Rm. Then, by the same argument, we can show that rank A ≤ rank M.

Therefore, we have rank A = rank M.

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Answer:

C≈81.68cm is the answer.

Answer:

m(∠HAE) = 69°

Step-by-step explanation:

From the figure attached,

∠HAG = ∠HAE + ∠GAE

By substituting the values of the angles given in the picture,

130° = (3x + 15)° + (2x + 25)°

Now add the like terms.

(3x + 2x) + (15 + 25) = 130

5x + 40 = 130

5x = 130 - 40

5x = 90

x = \(\frac{90}{5}\)

x = 18

Since, m(HAE) = (3x + 15)

                       = 3(18) + 15

                       = 54 + 15

                       = 69°

Order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

To find the order of matrix:

To prove:

Therefore, order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

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Answer:

The answer is x = 3

Step-by-step explanation:

edge2020

Answer:

6/16 and 4/16

Step-by-step explanation:

Hope this helps :D

Answer:

The measurement of the third angle would be 139 degrees.

Step-by-step explanation:

Using the triangle sum theorem, you already know that all interior angles of a triangle add up to 180 degrees. So since you already have two angle measurements, all you have to do is add them together and subtract them from 180 degrees. In this case it is 29+12, which equals 41. Now you subtract that from 180 and get 139.

I hope this helps!