if x -1 = 2y/3,then y=​

If the data of the research subjects are presented in a frequency distribution graph, a histogram-type graph should be used.

If the data are presented in a frequency distribution graph, then the type of graph that should be used is a histogram. A histogram is a type of bar graph that displays the distribution of a continuous variable by dividing the range of values into intervals, and bins, and counting the number of observations that fall within each bin.

If the academic majors were nominal a bar graph could also be used to display the frequency of each major. In a bar graph, each category would be plotted on the horizontal axis, and the frequency of students in each category would be plotted on the vertical axis.

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The rate at which the length of the cylinder is changing can be determined using the formula for the volume of a cylinder and applying the chain rule of differentiation. The rate of change of the length h is found to be -0.8192 in/sec.

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius and h is the length of the cylinder. We are given that V = 128π cubic inches.

Differentiating both sides of the equation with respect to time, we get dV/dt = d(πr²h)/dt. Using the chain rule, this becomes dV/dt = π(2r)(dr/dt)h + πr²(dh/dt).

Since the radius r is decreasing at a constant rate of 0.05 inches per second (dr/dt = -0.05), and the volume V is constant (dV/dt = 0), we can substitute these values into the equation. Additionally, we know that r = 2.5 inches.

0 = π(2(2.5)(-0.05))h + π(2.5)²(dh/dt).

Simplifying the equation, we have -0.25πh + 6.25π(dh/dt) = 0.

Solving for dh/dt, we find that dh/dt = -0.25h/6.25 = -0.04h.

Substituting h = 8 (since V = πr²h = 128π, and r = 2.5), we get dh/dt = -0.04(8) = -0.32 in/sec.

Therefore, the rate at which the length h is changing when the radius r is 2.5 inches is -0.32 in/sec, which is equivalent to -0.8192 in/sec (rounded to four decimal places). The correct answer is (b) -0.8192 in/sec.

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There can be a maximum of 1183 bags, each containing 5 red cubes and 5 blue cubes.

Let x be the number of red cubes in each bag and y be the number of blue cubes in each bag. Then, the number of red cubes in all bags is 5915/x, and the number of blue cubes in all bags is 1715/y.

Since the number of cubes in each bag is the same and there will not be any cubes left over, we must have 5915/x = 1715/y = z, where z is the number of bags.

To find the greatest value of z, we need to find the greatest common factor (GCF) of 5915 and 1715. We can use the Euclidean algorithm:

5915 = 1715 × 3 + 720

1715 = 720 × 2 + 275

720 = 275 × 2 + 170

275 = 170 × 1 + 105

170 = 105 × 1 + 65

105 = 65 × 1 + 40

65 = 40 × 1 + 25

40 = 25 × 1 + 15

25 = 15 × 1 + 10

15 = 10 × 1 + 5

10 = 5 × 2 + 0

The GCF of 5915 and 1715 is 5, so each bag will contain 5 red cubes and 5 blue cubes. The number of bags is z = 5915/5 = 1183.

Therefore, there can be a maximum of 1183 bags, each containing 5 red cubes and 5 blue cubes.

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Timothy purchased a computer for $1,000. The value of the computer depreciates by 20% every year. This situation represents decay in the value of the computer. The rate of growth or decay, r, is equal to -20%.

So the value of the computer each year is 80% of the value in the previous year. It will take 3.5 years for the value of the computer to reach $512.

For example, if Timothy purchased a computer for $1,000 and the value depreciates by 20% every year, this means that each year the computer will be worth 80% of its original value.

A percent is a way of expressing a number as a fraction of 100. It is usually written as a number followed by the percent sign (%). For example, 20% can be written as 0.2 or 20/100. Percentages are often used to express how much of a total amount a certain number represents.

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Out of the 1300 cargo containers, approximately 30 containers (2.28% of 1300) are expected to weigh more than the mean by 2 standard deviations.

If the distribution of weights of a sample of 1300 cargo containers is symmetric and bell-shaped, we can assume that it follows a normal distribution. In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, and approximately 95% of the data falls within two standard deviations of the mean.

Therefore, if we want to know what percent of the data is above the mean by 2 standard deviations, we need to calculate the area under the normal distribution curve to the right of the mean plus 2 standard deviations. This is equivalent to finding the area in the upper tail of the distribution.

Using a standard normal table or a calculator, we can find that the area to the right of mean plus 2 standard deviations in a standard normal distribution is approximately 2.28%. Since the given distribution is assumed to be a normal distribution, we can conclude that approximately 2.28% of the cargo containers weigh more than the mean by 2 standard deviations.

Therefore, out of the 1300 cargo containers, approximately 30 containers (2.28% of 1300) are expected to weigh more than the mean by 2 standard deviations.

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To find the horizontal asymptotes with square root in denominator, first, we have to divide the numerator and denominator by the highest power of x under the radical.

We need to simplify the expression by multiplying the numerator and denominator by the conjugate of the denominator. Finally, we take the limit as x approaches infinity and negative infinity to find the horizontal asymptotes. If the limit is a finite number, then it is the horizontal asymptote, but if the limit is infinity or negative infinity, then there is no horizontal asymptote.

Here is an example of how to find horizontal asymptotes with square root in denominator: Find the horizontal asymptotes of the function f(x) = (x + 2) / √(x² + 3)

Dividing the numerator and denominator by the highest power of x under the radical gives: f(x) = (x + 2) / x√(1 + 3/x²)

As x approaches infinity, the denominator approaches infinity faster than the numerator, so the fraction approaches zero. As x approaches negative infinity, the denominator becomes large negative, and the numerator becomes large negative, so the fraction approaches zero. Hence, the horizontal asymptote is y = 0.

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Answer:

lam at po

Step-by-step explanation:

sa points pa brainlist nalng po

The inverse function is:

\(f^{-1}(x) = \sqrt[3]{x}^8 - 3\)

The domain is the set of all real numbers and the range is:

R: [-3, ∞)

For a function y = f(x), we define the domain as the set of possible values of x, and the range as the possible set of values of y.

Here we want to find the inverse of the function:

\(f(x) = (x + 3)^{3/8}\)

Evaluating on the inverse, we should get the identity function, then we will get:

\(f(f^{-1}(x)) = ( f^{-1}(x) + 3)^{3/8} = x\)

Solving that for the inverse, we will get:

\(( f^{-1}(x) + 3)^{3/8} = x\\\\ f^{-1}(x) = x^{8/3} - 3\\\\ f^{-1}(x) = \sqrt[3]{x}^8 - 3\)

Now, the domain is the set of all real numbers because we don't have any problem with the values of x, and the minimum of the first term is 0 (when x = 0) and then it increases, then the range is:

R: [-3, ∞)

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Answer:

62.5 miles per hour

Step-by-step explanation:

Answer:62.5 miles an hour

Step-by-step explanation: You would divide 250 by 4.

Answer:

Step-by-step explanation:

Candice = 25mph for 4 hours.

Candice has driven= 25 * 4= 100miles.

Liz =50mph

Liz time to catch up to candice= 50 * 2= 100miles.

Therefore, It would have taken Liz two hours to catch up with Candice

The surcharge for each additional point after 6 is $25 per point.

This means that if you accumulate 7 points within 3 years, you will be subject to a surcharge of $175 ($150 for the first 6 points and $25 for the additional point).

If you accumulate 8 points within 3 years, the surcharge will be $200 ($150 for the first 6 points and $50 for the additional two points), and so on.

This information is based on the New Jersey Motor Vehicle Commission's (NJMVC) point system. The NJMVC assigns points for various traffic violations, such as speeding, reckless driving, and failure to yield.

If you accumulate too many points within a certain period of time, your driving privileges may be suspended or revoked.

It's important to note that the NJMVC point system is just one example of how states in the US handle driver's license points and surcharges. Each state has its own system, so it's important to check with your local Department of Motor Vehicles (DMV) or equivalent agency to understand how points and surcharges work in your area.

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Answer:

x=-2

Step-by-step explanation:

(6-x)/2 = 4

Multiply each side by 2

(6-x) /2 *2 = 4*2

6-x = 8

Subtract 6 from each side

6-x-6 = 8-6

-x = 2

Multiply each side by -1

x=-2

In order to find the number of weeks w it will take Anita to reach her goal, we need to solve the following equation for w:

So, we can apply the same operations on both sides of the equation, until we isolate the variable w and find its value.

We obtain:

Therefore, Anita will have saved enough money for the snowboard in 5 weeks.

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

Hyperbola will form out from the cone.

The generator, vertex, and vertical axis are three crucial components of the double-napped cone. Conic sections or conics are the curves that result from the division of a double-napped cone into sections by a plane.

A plane intersects with both parts of a double cone to form a hyperbola, which is an open curve with two branches. The hyperbola will be symmetrical regardless of whether the plane is parallel to the axis of the cone or not.

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What's wrong with you?

Answer:

UHHHHh

Step-by-step explanation:

wh- That's just...

Answer:

distributive property

Step-by-step explanation:

distributive property, because 4 carries over to each variable and then the two product are added.

4(x+y)=4x+4y

Answer:

9.75

Step-by-step explanation:

20h = 195

h = 195/20

h = 9.75

Answer: $9.75/hour

Answer:

9.75

here is the answer I hope it helps.

The table with a constant of proportionality of –3 are

A. 'x' is 1 2 3. 'y' is -3,-6,-9

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

y = k × x

where,

k = constant of proportionality

A. 'x' is 1 2 3. 'y' is -3,-6,-9

y = k × x

-3 = k × 1

- 3 = k

k = -3

B. 'x' is 1, 2, 3. 'y' is -1, -2, 0

y = k × x

-1 = k × 1

-1 = k

k = -1

C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

y = k × x

-3 = k × 1

-3 = k

k = -3

D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

y = k × x

-3 = k × 1

-3 = k

k = -3

or

y = k × x

-3/2 = k × 2

-3/ 2 = 2k

k = -3/2 ÷ 2

k = -3/2 × 1/2

k = -3

Therefore, the table with a constant of proportionality of –3 are

A. 'x' is 1 2 3. 'y' is -3,-6,-9

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

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Answer:

The answer is B. (4,6)

(4 - 2)2 + (6 - 6)2 = 4

2(2) + 0(2) = 4

4 + 0 = 4

Answer:

I will try to help but where us ur question ¿

Answer:

-5a + 23

Step-by-step explanation:

Step 1: Distribute.

Step 2: Combine like terms.

Therefore, the answer is -5a + 23.

Answer:

−5+23

Step-by-step explanation:

3-5+20

23-5

-5+23

Answer:12.5 pieces

Step-by-step explanation:2/5 as a decimal is .4.      

5/.4=12.5

The estimated per unit selling price of the new line of clothing is $X.

What is the estimated per unit selling price of the new line of clothing?

The estimated per unit price selling for the new line of clothing can be determined by considering various cost factors.

Using the 80% learning curve, the direct labor cost is calculated based on the time required to complete the 50th item, derived from the time for the first item.

This labor cost is obtained by multiplying the time for the 50th item by the direct labor rate. The total manufacturing cost includes the direct labor cost, production material cost, factory overheads (125% of direct labor), and packing costs (75% of direct labor).

Finally, a desired profit of 20% of the total manufacturing cost is added to determine the unit selling price. This estimation encompasses the expenses related to labor, production materials, factory overheads, packing, and desired profit margin.

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The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.

In this case, we are estimating the difference in population means between two groups - upperclassmen and underclassmen. The point estimate is calculated by subtracting the sample mean of the underclassmen from the sample mean of the upperclassmen, which gives us

0.76 - 0.60 = 0.16.
the point estimate of the difference in population mean exercised between underclassmen and upperclassmen is 0.16 hours, which was calculated by subtracting the sample mean of underclassmen from the sample mean of upperclassmen.
Point Estimate = (Sample Mean of Upperclassmen) - (Sample Mean of Underclassmen)
Point Estimate = (0.76) - (0.60)
Point Estimate = 0.16

Hence, the point estimate of 0.16 suggests that, on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours. This is a rough estimate of the difference between the two population means based on the provided sample data.

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Answer:

Alexander made a total of $825 last week in commission sales

Step-by-step explanation:

C=S×r

where;

C=commission earned

S=total value of stock sales

r=commission rate

Answer:

13/100×$7000

$910 for last week

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this Helps ;)

Answer:

5220 miles

Step-by-step explanation:

29x180

Answer:

5220 miles

Step-by-step explanation:

Multiply the number of days she rode by how many miles she rode each day

29*180 = 5220