Mr. Jones teaches 154 students in 7 classes. How many
students does he have per class? (per single class – unit
rate)
Please help mee

The correct answer is results of the memory test.

Given that,

Dr. Huang asked the healthy volunteers in a group to read a chapter for an hour. The other half of the attendees spent 15 minutes studying. Dr. Huang next asked participants to recall specifics from the paragraph in a test.

To find :what was the dependent variable ?

It is something on which other elements depend. The test score for a instance, may be the dependent variable because it could vary based on a number of variables, including how much you studied, how much sleep you got the night before the test, and even how hungry you were.

Therefore, the correct answer is results of the memory test.

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The order approximately 1.1111 cubic yards of topsoil from the dirt store.

The volume of topsoil required in cubic feet.

The area of the garden is:

The area of the garden is found by multiplying the length and width of the garden. In this case, the garden is 15 feet by 12 feet, so the area is 15 ft x 12 ft = 180 sq ft.

Since we want a 2 inch thick layer of topsoil, we need to convert the thickness to feet:

2 inches = 2/12 feet = 0.1667 feet

The volume of topsoil required in cubic feet is therefore:

180 sq ft × 0.1667 ft = 30 cubic feet

To convert this to cubic yards, we divide by 27 (since there are 27 cubic feet in a cubic yard):

The dirt store sells topsoil by the cubic yard, so we need to convert our answer from cubic feet to cubic yards. Since there are 27 cubic feet in a cubic yard (3 feet x 3 feet x 3 feet)

30 cubic feet ÷ 27 = 1.1111 cubic yards

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Answer:

True

Step-by-step explanation:

The dilation is that the blue one is half the orange one

(0,2) half is (0,1)

(2,4) half is (1,2)

(4,0) half is (2,0)

(0,-2) half is (0,-1)

Answer:

RS 3933

Step-by-step explanation:

cost price =  RS4400

selling price =RS5060

now,

profit amount = selling price - cost price

                      =  RS5060 -RS4400

                       = RS660

profit %= profit amount / cost price * 100%

          = RS 660 / 4400 * 100

          = RS 15%

case II

profit % =15%

selling price = RS 3420

now,

profit amount = p% of cp

                      =15/ 100 *3420

                       =RS 513

selling price = cp +profit amount

                   = 3420+513

                    =RS 3933

Answer:

The cost of 1 gallon is $2.5

Step-by-step explanation:

Given

Cost of 14 gallons = $35

Required

Determine the cost of 1 gallon

From the given parameters, we have:

\(14\ gallons = \$35\)

Divide both sides by 14

\(\frac{14\ gallons}{14} = \frac{\$35}{14}\)

\(1\ gallon = \frac{\$35}{14}\)

\(1\ gallon = \$2.5\)

Hence,

The cost of 1 gallon is $2.5

The given function f(x) = 25e^(-2x) represent the exponential decay.

According to th egiven question.

We have an exponential function.

f(x) = 25e^(-2x)

As we know that

If \(P = P_{o} e^{-kt}\) be an exponential function, then it will represent

Where,

P is the final amount

\(P_{o}\) is the intial amount

t is the time interval

k is the constant of proportionality

For the given question if we compare the given exponential function with the standard exponentential function we get

\(P_{o}\) = 25

k = 2

and t = x

Now,

e^(-2) = 0.13

Since, e^(-2) < 1.

Hence, the given function f(x) = 25e^(-2x) represent the exponential decay.

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Answer: p=$1.47 c=$1.98 b=$1.20

Step-by-step explanation: Hope this helps!<3

Answer:

Answer: C. Alternate Interior Angles

Step-by-step explanation:

The picture here shows a bunch of angles, and we can see that there is one line that goes through 2 of the lines shown. That line includes all 1-8 angles. Here, we can assume that we are dealing with a pair of parallel lines, and a transversal. The one line going through 2 of the lines shown would be the transversal, and the other 2 lines would be the pair of parallel lines. For the 2 lines that are parallel with each other, there are angles taht are inbetween them, and others that are not. Angles 2, 7, 3, 6 are between the 2 parallel lines, and meaning that they are interior angles. Angles 1, 8, 4, and 5 are not inbetween the 2 parallel lines, so they are called exterior angles. We are given a list of classifications. I will tell what each of them are. Corresponding angles are angles that can be seen on the same side of the transversal, and same position. For example, angles 1 and 3. Consecutive interior angles are angles that are within the 2 parallel lines. They are just right infront of eachother, and both interior angles add up to 180 degrees. Pretty cool. For example, angles 2 and 3 are Consecutive interior angles. Alternate interior angles are angles located between the 2 parallel lines. Instead of them being right infront of eachother like Consecutive interior angles are, they are to the opposite sides. An example, angles 3 and 7 are alternate interior angles. Lastly, but not least, Alternate exterior angles are angles not between the 2 parallel lines. Just like alternate interior angles, they are on the orher side of the transveral across. An example of exterior angles are, angles 1 and 5. On with the question! Question asks for angles 2 and 6. Since they are inbetween the 2 parallel lines, they are interior angles. Crossing out option D, because it talks about exterior angles. Corresponding angles also does not work, because angles 2 and 6 are not on the same side of the transversal(not infront of each other). Corresponding angles also usually include and interior and exterios angle. With said, we can mark option A wrong. Consecutive interior angles are also wrong, the 2 interior angles are not infront of eachother, and are on opposite sides of the transversal. Leading to C Alternate Interior Angles to be the answer, I hope this helps you! Enjoy your day today. ‍⬛‍⬛‍⬛

Step-by-step explanation:

Answer:

I think the answer you're looking for is 86400

Step-by-step explanation:

Constructing a confidence interval for the mean of a distribution based on one sample is Confidence level = 1 - significance level.

The definition of the confidence level is (1-α). Zα is the number of standard deviations from the mean at which X with a certain probability lies. If Z = 1.96 is selected, the likelihood that the real mean falls inside the range is set at 0.95, hence we are asking for the 95% confidence interval.

Let us consider,

Confidence level = c

significance level \(= \alpha\)

\(c = 1 - \alpha\)

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Answer:

253 is the answer

Step-by-step explanation:

Divide 2,277 and 9.

The equation of the tangent line to the curve at the point (0, -2) is y = -6x - 2.

To find the equation of the tangent line, we need to find the slope of the curve at the given point and then use the point-slope form of a line.

First, let's find the derivatives of x and y with respect to t:

dx/dt = 4t³ - 18t

dy/dt = 2t - 6

Now, substitute t = 0 into the derivatives to find the slope of the tangent line at the point (0, -2):

dx/dt = 4(0)³ - 18(0) = 0

dy/dt = 2(0) - 6 = -6

So, the slope of the tangent line is -6.

Next, we use the point-slope form of a line:

y - y₁ = m(x - x₁)

Substituting the coordinates of the given point (0, -2) and the slope -6:

y - (-2) = -6(x - 0)

y + 2 = -6x

Simplifying the equation, we get:

y = -6x - 2

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The subset of the data set with x2, x3, and x4 would include 6 missing values.

The subset of the data set with x2, x3, and x4 would include 6 missing values.

1. Subset the data set to include only x2, x3, and x4.

2. Count the number of missing values in each variable.

3. Add the number of missing values for each variable together.

4. The total number of missing values in these three variables is 6.

The subset of the data set with x2, x3, and x4 would include 6 missing values.

Subset the data set to include only x2, x3, and x4.

The complete question is :

Subset the data set to include only x2, x3, and x4. How many missing values are there in these three variables?

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Answer:

11.6 sq. inches

Step-by-step explanation:

The lateral area of a cone can be found using the formula:

L = πrℓ

where r is the radius of the circular base and ℓ is the slant height.

Substituting in the given values, we have:

L = 3.14 x 2.6 x 1.5

L ≈ 11.6

Rounding to the nearest tenth, the approximate lateral area of the cone is 11.6 square inches.

Answer:

the shortest distance is the distance from a point to a line that make 90° .

so AC is the shortest distance.

d^2=(-3-1)^2 + (-3--1)^2

=(-4)^2 + (-2)^2

=16 + 4

=20

d=√20

this is the distance between point A and point C.

Answer:

Image result for Plot root 18 on the x-axis. Consider using the grid to help.

Step 1: Draw the graph of y=√x . Step 2: Move the graph of y=√x by 1 unit to the right to obtain the graph of y=√x−1 . Step 3: Move the graph of y=√x−1 by 2 units up to obtain the graph of y=√x−1+2 . The domain of the function y=√x−1+2 is x≥1 .

Answer:

7.6 ≤w

Step-by-step explanation:

Hey there!

In order to solve this inequality, you need to simplify the inequality like the following:

Subtract 3.4 from both sides

7.6 ≤w

This means that w is greater than or equal to 7.6

(See attached file for the plot!)

Description:

Point Z is located in Quadrant III of the coordinate plane

It is 4 units to the left

It is 5 units down

Is this satisfactory enough? Let me know if it helped!

Answer:

D

Step-by-step explanation: 2 x square root of 2 is 2.8284.......

Answer:

C

Step-by-step explanation:

Comment

The square root of 48 is nowhere near 12. That means that A and D are wrong. On a test that's an important consideration because if you have to guess, you've just cut the possibilities down to 2.

So the answer must  be B or C. Furthermore, you don't have to go to the trouble of factoring 48 to show that it is 4 sqrt(3). There's no other choice.

So what about x^5. 5 is an odd number. That means that one of the xs is left underneath the square root sign. That makes B incorrect. Without doing a calculation, I know that C is the answer.

Note

x^5 = x * x * x * x * x

The rule is for ever 2 factors that are the same, 1 factor is put in front of the square root sign and the other 1 is thrown out.

√x^5 = √x * x * x * x * x  = x * x √x

Therefore the answer to the problem is 4 x * x√3 x = 4x^2√3x

The y-intercept of the continuous function in the table is (0, –6) which can be determined by looking at the first point, (0, –6).

A continuous function is a function that is defined for all values of its independent variable, and whose graph is a continuous line without breaks or gaps. It typically means that a function's value for an input can be calculated without having to consider the values of the function for other inputs.

The y-intercept of a continuous function is the point at which the graph of the function crosses the y-axis. It is the point where the x-coordinate is zero. In other words, it is the point where the graph of the function intersects the y-axis.

In the given table, the y-intercept can be determined by looking at the first point, (0, –6). This means that the y-coordinate is –6 when the x-coordinate is 0. Therefore, the y-intercept of the continuous function in the table is (0, –6).

The y-intercept also helps us to determine the slope of the function. The slope is the rate at which the function changes as we move along the x-axis. The slope can be calculated by looking at the change in the y-coordinate for a given change in the x-coordinate.

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The y-intercept οf the cοntinuοus functiοn in the table is (0, –6) which can be determined by lοοking at the first pοint, (0, –6).

A cοntinuοus functiοn is a functiοn that is defined fοr all values οf its independent variable, and whοse graph is a cοntinuοus line withοut breaks οr gaps. It typically means that a functiοn's value fοr an input can be calculated withοut having tο cοnsider the values οf the functiοn fοr οther inputs.

The y-intercept οf a cοntinuοus functiοn is the pοint at which the graph οf the functiοn crοsses the y-axis. It is the pοint where the x-cοοrdinate is zerο. In οther wοrds, it is the pοint where the graph οf the functiοn intersects the y-axis.

In the given table, the y-intercept can be determined by lοοking at the first pοint, (0, –6). This means that the y-cοοrdinate is –6 when the x-cοοrdinate is 0. Therefοre, the y-intercept οf the cοntinuοus functiοn in the table is (0, –6).

The y-intercept alsο helps us tο determine the slοpe οf the functiοn. The slοpe is the rate at which the functiοn changes as we mοve alοng the x-axis. The slοpe can be calculated by lοοking at the change in the y-cοοrdinate fοr a given change in the x-cοοrdinate.

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Complete question:

Which is a y-intercept of the continuous function in the table?

The thickness of the ring would be 20.7 cm if the diameter of the rings were to be shrunk down to the width of a dollar bill (6.6 cm) and the ring wraps around itself once.

If the diameter of the rings were to be shrunk down to the width of a dollar bill (6.6 cm), we can use the formula for the circumference of a circle, which is C = 2πr, where C is the circumference and r is the radius of the circle.

If we assume that the original diameter of the rings is d, then the radius (r) would be d/2. So, if we shrink the diameter down to 6.6 cm, then the radius would be 6.6/2 = 3.3 cm.

Now, we can use the formula for the circumference to find the length of the circle that has a radius of 3.3 cm:

C = 2πr
C = 2π(3.3)
C = 20.7 cm

Therefore, if the diameter of the rings were to be shrunk down to the width of a dollar bill (6.6 cm), the length of the circle would be 20.7 cm.

To find the thickness of the rings, we need to divide the length of the circle by the number of times the ring wraps around itself (the height of the ring). Let's assume the ring wraps around itself once.

So, the thickness of the ring would be:

Thickness = Length of the circle / Number of wraps
Thickness = 20.7 cm / 1 wrap
Thickness = 20.7 cm

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Answer:

294 square meters

Step-by-step explanation:

The surface area of a certain pyramid is 54 square meters. Its volume is 648 cubic meters. If a similar pyramid has a volume of 8232 cubic meters, what is its surface area?

We solve the above question using Proportion

The surface area of a certain pyramid

= 54 square meters.

Volume of certain pyramid =

648 cubic meters.

Surface area of similar pyramid = x

Volume of similar pyramid = 8232 cubic meters.

Hence,

Surface area : Volume

= Surface area/ Volume

= 54 m²/648 m³ = x/8232 m³

Cross Multiply

54 × 8232 = 648 × x

x = 54 × 8232/648

x = 294 square meters

Answer: positive then greater than

Step-by-step explanation:

For a rectangular prism, the