a rectangular prism has a length of 6cm, a height of 8cm, and a width of 17cm. what is its volume, in cubic cm?

Answer:

2x+4y,9

Step-by-step explanation:

here's your answer !

Answer:

68

Step-by-step explanation:

ABC AND DBF.

ABC = 4x +1= your answer

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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The optimal decision for the median selection problem (1, 3, 3) is that the median value can be either 1 or 3.

To construct an optimal decision tree for the median selection problem with the values (1, 3, 3), we need to determine the median value using a binary comparison approach. Here's the decision tree:

(a) Compare the first two values, 1 and 3:

If 1 is less than 3, move to Step 2.

If 1 is greater than 3, swap the positions of 1 and 3 and move to Step 2.

(b) Compare the second value, which is now 1, with the third value, which is 3:

If 1 is less than 3, the median is 3.

If 1 is greater than 3, the median is 1.

If 1 is equal to 3, the median is 1 or 3 (since they are equal in this case).

Based on this decision tree, the optimal decision for the median selection problem (1, 3, 3) is that the median value can be either 1 or 3.

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The length of f-c is 23 units.

From the diagram we know that e-f = 4, b-c = 18, and a-f = 21. We need to  set up and solve an equation to the length of f-c. To set up and solve an equation to the length of f-c let's assign variables to the lengths of the segments:

Let e-f = x, b-c = y, and a-f = z.

From the given information, we have:

x = 4, y = 18, and z = 21.

We need to find the length of f-c, which is the sum of b-c and a-f:

f-c = y + z.

Substituting the given values, we get:

f-c = 18 + 21 = 39.

Therefore, the length of f-c is 39 units.

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Answer: 116.4 and 63.6 degrees

Step-by-step explanation:

Let the angle be x, so supplement is 180-x.

This means x - 52.8 = 180 - x

2x = 232.8

x = 116.4

So the angle measures are 116.4 and 63.6 degrees

Answer:

es

Step-by-step explanation:

Answer:

A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.

Step-by-step explanation:

a) If $9,000 is invested at 8% interest compounded annually, after 1 year, the future value will be $9,720.

b) If $9,000 is invested at 8% interest compounded annually, after 2 years, the future value will be $10,497.60.

We can use an online finance calculator to determine the future value.

The future value represents the present investment compounded at an interest rate into the future.

N (# of periods) = 1 year

I/Y (Interest per year) = 8%

PV (Present Value) = $9,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = 9,720.00

Total Interest = $720.00

N (# of periods) = 2 years

I/Y (Interest per year) = 8%

PV (Present Value) = $9,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $10,497.60

Total Interest = $1,497.60

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Answer:

Weight = mass x gravitational field

           = 6kg x 10N/kg

           = 60N

Weight = mass x gravitational field

           = 70kg x 10N/kg

           = 700N

the pivot will be at the man's foot

Anti-clockwise moment = Clockwise moment.

So, we can substitute, when we find the value of one of the moment - either clockwise or anti-clockwise.

man

Anti-clockwise moment = force x distance

                                       = 700N x 0.9

                                       = 630Nm

load

Anti-clockwise moment= 60x(0.9+0.3)

                                     = 60 x 1.2m

                                     =70Nm

total moment is 702Nm (630+70)

As a result, we now know the moment of the clockwise moment, enabling us to find the upward force.

Moment= force x distance

             = ?N    x 1.3m

702Nm  = ?N x 1.3

divide by 1.3 both side

540N =?N

Force is 540N

Hope this helps!

From the steps shown in the table given, we can conclude that: D. in solving the equation, the subtraction property of equality was not applied.

If a + b = c, to apply the subtraction property of equality so that b is moved to the other side of the equation, we would have:

a + b - b = c - b

a = c - b

Thus, from the table given, the none of the steps showed that the subtraction property of equality was applied in solving the equation, so, the answer is: D.

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The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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The slope of a plot of ln k versus 1/t equal to: −E_a/R

The Arrhenius equation is one that describes the relation between the rate of reaction and temperature for many physical and chemical reactions.

Arrhenius equation is expressed as:

k = \(Ae^{-E_{a}/RT }\)

Taking natural log on both sides,

ln k = ln \(Ae^{-E_{a}/RT }\)

In k = In A - E_a/RT

In k = In A - (E_a/R * (1/T))

This equation is in the form of y = mx + c

The plot of ln k vs 1/T gives a straight line with negative slope.

Slope = −E_a/R

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Answer:

15

Step-by-step explanation:

let's begin by find our variables!

in this case June= x, July = y, and August = z

now that we found our variables let make an equation

x + y + z = 40

we know that x (June)= 12 y (July)= 13 so let's plug that, in place of the variables

12 + 13 + z = 40

Combine like terms

25 + z = 40

Subtract 25 out of 25 and out of 40

25 - 25 + z = 40 - 25

z= 15

now let's plug in all our variable values x = 12; y = 13; z = 15

12 + 13 + 15 = 40 ✓

Answer:

5 × 5

Step-by-step explanation:

the area (A) of a square is calculated as

A = s² ( s is the side length ) , then

A = 5² = 5 × 5 = 25 in²

The value of the length of the arc indicated is,

⇒ 28π/3 feet

We have to given that;

Radius of circle = 14 feet

And, Central angle = 120 degree

Hence, We can formulate;

⇒ Arc length = 14 x 120 x π /180

⇒ Arc length = 28π/3

Thus, The value of the length of the arc indicated is,

⇒ 28π/3 feet

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Domain: (-∞, ∞)

Range: (-∞,1]

Answer:

Domain = All Real Numbers

Range = y≤1

Step-by-step explanation:

Since parabolas are continuous, the domain is all real numbers. The range, or y value, is all real numbers less than or equal to 1 (y≤1), since 1 is the vertex.

Hope this helps :)

"The multiplier for decay is given by the formula:

multiplier = (1 - (decay rate/100))^n

where "decay rate" is the percentage rate of decay per time period (usually per year), and "n" is the number of time periods.

For a decay rate of 1%, the multiplier would be:

multiplier = (1 - (1/100))^n = 0.99^n

For a decay rate of 2%, the multiplier would be:

multiplier = (1 - (2/100))^n = 0.98^n

The value of the multiplier depends on the number of time periods "n". For example, if we want to find the value of an initial quantity after 3 years of 1% decay, we would use the multiplier of 0.99 raised to the power of 3:

multiplier = 0.99^3 = 0.9703

This means that the final quantity would be 97.03% of the initial quantity.

Similarly, if we want to find the value of an initial quantity after 5 years of 2% decay, we would use the multiplier of 0.98 raised to the power of 5:

multiplier = 0.98^5 = 0.9039

This means that the final quantity would be 90.39% of the initial quantity." (ChatGPT, 2023)

The model equation to find the number of hours she should work to earn $728 per week is given as 16a +56b = 728

It is given that,

Elena is earning as a swimming instructor = $16.00 an hour

Also, she is earning as an intern in a genetics = $56.00 per hour

The condition which is given is that, Elena needs to earn at least $728

per week in order par her college fees

We need to find the, equation which can resolve this situation to find the number of hours she should work to earn $728 per week

Let the number of hours she works teaching swimming = a

And, let number of hours she works as an intern in genetics = b

Then, the equation can be made as = 16a +56b = 728

Hence, the model equation to find the number of hours she should work to earn $728 per week is given as 16a +56b = 728  

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Answer: 21/100

Step-by-step explanation:

Number of green marbles = 21

Number of blue marbles = 35

Number of red marbles = 18

Number of yellow marbles = 26

Total number of marbles = 100

The probability of choosing a free marble will be:

= Number of green marbles / Tot number of marbles

= 21 / 100

Answer:

False

Step-by-step explanation:

Step-by-step explanation:

\( = 3 {x}^{3} - {x}^{2} + 2 {x}^{3} - 8 {x}^{2} \\ = 3 {x}^{3} + 2 {x}^{3} - {x}^{2} - 8 {x}^{2} \\ = 5 {x}^{3} - 9 {x}^{2} \)

HOPE THIS HELPS

Answer:

D = kv^2, where k is a non-zero constant

Step-by-step explanation:

Answer:

40,320 ways

Step-by-step explanation:

By the Fundamental Counting Principle, she can do it in 8! ways:

8! = 8*7*6*5*4*3*2*1 = 40,320

The value of the probability P(z < -2.6) is 0.0046612

From the question, we have the following parameters that can be used in our computation:

To calculate the probability P(z < -2.6), we make use of a graphing calculator

Using the above as a guide, we have the following:

P(z < -2.6) = 0.0046612

Hence, the value is 0.0046612

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Answer:

The answer is 1.45*10^6

Answer: 1.45x10^6

Step-by-step explanation:

pls mark brainliest

The algebraic expression for "The product of 9 and two more than a number" is 9(x + 2).

In the given word phrase, "a number" is represented by the variable x. The phrase "two more than a number" can be translated as x + 2 since we add 2 to the number x. The phrase "the product of 9 and two more than a number" indicates that we need to multiply 9 by the value obtained from x + 2. Therefore, the algebraic expression for this word phrase is 9(x + 2).

"A number": This is represented by the variable x, which can take any value.

"Two more than a number": This means adding 2 to the number represented by x. So, we have x + 2.

"The product of 9 and two more than a number": This indicates that we need to multiply 9 by the value obtained from step 2, which is x + 2. Therefore, the algebraic expression becomes 9(x + 2).

In summary, the phrase "The product of 9 and two more than a number" can be algebraically expressed as 9(x + 2), where x represents the number.

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