The height of the prism is 6 inches. What is the volume of the hexagonal prism? Show your work

Answer: 7/9

Step-by-step explanation: 3 + 4 = 9

add the /9 = 7/9

the only student that is correct is Stepheh. "The vertex is at (–4, –1)."

Here we have the quadratic equation:

f(x) = (x + 3)*(x + 5)

The first claim is: "The y-intercept is at (15, 0)."

This is clearly false, as the y-intercept is at x = 0, and in that point we have x = 15.

The second claim is:

"The x-intercepts are at (–3, 0) and (5, 0)"

This is false, in the factored equation we can see that the x-intercepts are x =-3 and x = -5.

Third claim:

"The vertex is at (-4, -1)"

The middle value between the zeros is:

(-3 + (-5))/2 = -4

Evaluating the function in x = -4 we get the y-value of the vertex:

f(-4) = (-4 + 3)*(-4 + 5) = -1*1 = -1

So the vertex is at (-4, -1), this claim is true.

The fourth claim is:

"The midpoint between the x-intercepts is at (4, 0)."

Which is false, we already saw that the midpoint between the x-intercepts is at x = -4

Then the only student that is correct is Stepheh. "The vertex is at (–4, –1)."

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Step-by-step explanation:

ans...9days.......,........

Answer:

the answer is 67

Step-by-step explanation:

calculator

Answer:

Using point-slope form we get:

y - 6 = 1/3(x + 6)

y - 6 = 1/3x + 2

y = 1/3x + 8

Answer: 

\(\frac{4}{3}\)

Step-by-step explanation:

       Slope can be found with change in y over change in x.

                \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

               \(\frac{-12--8}{5--8}\)

               \(\frac{-12+8}{5-8}\)

               \(\frac{-4}{-3}\)

               \(\frac{4}{3}\)

       Since we have a negative in the numerator and the denominator of our fraction, the simplest form is a "fully positive" \(\frac{4}{3}\).

The slope of the line that passes through the points (8, -8) and (5, -12) is 4/3

The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Given the points (8, -8) and (5, -12), we can plug in the values:

Slope (m) = (-12 - (-8)) / (5 - 8)

Slope (m) = (-12 + 8) / (5 - 8)

Slope (m) = -4 / -3

Slope (m) = 4/3

So, the slope of the line that passes through the points (8, -8) and (5, -12) is 4/3

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Answer:

r = 0.5 or 1/2

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)^t

Simply plug in our known variables:

2700 = 800(1 + r)³

Now we solve for r:

Divide both sides by 800

27/8 = (1 + r)³

Take the cube root on both sides

∛27/8 = ∛(1 + r)³

Simplify

3/2 = 1 + r

Subtract 1 on both sides

r = 1/2

r = 0.5

Answer:

For compound interest, 50%.

Step-by-step explanation:

(I'm assuming this question is asking for the compound interest):

The formula for compound interest is given by:

\(A=P(1+\frac{r}{n})^{nt}\)

Plug in the values we know. We can use 1 for n:

\(2700=800(1+r)^3\\27/8=(1+r)^3\\1+r=\sqrt[3]{27/8}\\r=3/2-1\\r=1/2=.5\)

So, the interest rate is 50%.

According to the given information, the measure of the larger acute angle in the 3-4-5 right triangle is approximately 36.87 degrees.

What is 3-4-5 right angle triangle?

A 3-4-5 right triangle is a right triangle where the lengths of the three sides are in the ratio of 3:4:5. In other words, the length of the longest side (the hypotenuse) is 5 times the length of the shortest side, and the length of the remaining side is 4 times the length of the shortest side. This special right triangle has angles of 30 degrees, 60 degrees, and 90 degrees, which are the angles of a 30-60-90 triangle. The sides of a 3-4-5 right triangle can be scaled up or down by any common factor (e.g. 6-8-10, 9-12-15, etc.) and will still form a right triangle with the same angles.

In a 3-4-5 right triangle, the larger acute angle is opposite to the longer leg, which has a length of 4. To find the measure of this angle, we can use the inverse tangent function:

tan(theta) = opposite / adjacent = 3/4

\(theta = tan^{-1} (3/4)\)

Using a calculator, we can find that:

theta ≈ 36.87 degrees

Therefore, the measure of the larger acute angle in the 3-4-5 right triangle is approximately 36.87 degrees.

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Answer:

3+3+5+16+28+22=77

100-77=23% for insurance and taxes

23/100 x 360= 82.8 degrees

If clothing is 3%, do that % over 100 x $40,000 to get how much spent.

3/100 x 40000= $1200 on clothes

Answer:

catastrophic

Step-by-step explanation:

Cuz it means "destructive"

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Given:

Principal value = $6520

Annual rate of interest = 2.5% compounded continuously.

Time = 3 years

To find:

The amount of money after three years.

Solution:

Formula for the value of the amount is:

\(V=Pe^{rt}\)

Where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest.

Putting \(P=6520,r=0.025,t=3\), we get

\(V=6520e^{(0.025)(3)}\)

\(V=6520e^{0.075}\)

\(V=7027.80466\)

\(V\approx 7027.80\)

Therefore, the amount of money after three years is about $7027.80.

The average speed of the car is 40 km/hr.

It would take a car 3 hours to cover 120 km at a speed of 40 km/h.

The car moves for a time period of 3 hours.

The car has to travel a total distance of 120 km.

As we know the formula of speed is distance/time,

Hence, s = d/t km/hr

Let speed, distance and time be s, d, t respectively.

So by putting the values,

speed s = d/t = 120/3 = 40 km/hr.

Hence it can be said that the car would cover 120 km at the speed of 40 km/hr in 3 hours.

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Answer:

6. 2 bags

9. $54

Step-by-step explanation:

This should be right because you have to divide to find what is the rate.

Answer:

Step-by-step explanation:

finding the first term by putting n=1

t(1)=4.\((1)^{2}\) +2 = 4.1 +2 = 4+2 = 6

finding the second term by putting n=2

t(2)=4.\((2)^{2}\) +2 = 4.4 +2 = 16+2 = 18

finding the third term by putting n=3

t(3)=4.\((3)^{2}\) +2 = 4.9 +2 = 36+2 = 38

hence first three terms are:

               6,18,38,......,4\(n^{2}\) +2

The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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Answer:

B

Step-by-step explanation:

I took the test

Answer:

B

Step-by-step explanation:

Answer:

a)cross-sectional correlation

Step-by-step explanation:

a test to see whether two variables, measured at the same point in time, are correlated is known as a cross-sectional correlation test

A longitudinal study is a research design that involves repeated observations of the same variables over long periods of time

and so on

The compression technique that encodes the digital value of an analog sample based on the change from the previous sample is known as Differential Pulse Code Modulation (DPCM).

In this technique, the digital value of the current sample is predicted by using the value of the previous sample. The difference between the predicted value and the actual value of the sample is then encoded and transmitted or stored. By only transmitting the difference between the predicted and actual values, DPCM can achieve a higher compression ratio than other compression techniques that rely on transmitting the absolute value of each sample. DPCM is commonly used in applications such as speech and audio compression, where small differences between consecutive samples can be accurately predicted and transmitted with minimal loss of quality. Overall, DPCM is a powerful compression technique that is widely used in various industries to efficiently encode and store analog signals in a digital format.

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The new population mean after changing one score from 20 to 5 is 7.8 for a population of N 5 15 scores has a mean of m 5 8.

To calculate the new population mean, we need to consider the effect of the changed score. The original population had N scores with a mean of 8. By changing one score from 20 to 5, we are essentially replacing the value of 20 with 5 in the population.

The sum of the original scores is N * 8 since the mean is equal to the sum divided by N. After changing the score, the sum of the population becomes (N * 8) - 20 + 5, which simplifies to (N * 8) - 15.

The new population mean, denoted by m', is now equal to this new sum divided by N. Therefore, m' = ((N * 8) - 15) / N. Simplifying further, we get m' = 8 - (15 / N).

Since the value of N is given as 5 to 15, we can substitute these values one by one to obtain the corresponding new population means. For N = 5, m' = 8 - (15 / 5) = 5. For N = 6, m' = 8 - (15 / 6) ≈ 5.5. We can continue this process for each value of N from 5 to 15. However, since the range is large, it is not possible to generate the exact values without a specific value for N. Nevertheless, the general trend suggests that the new population mean will be lower than the original mean of 8, with a decreasing value as N increases.

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Answer:

It could take up less space and be more convenient.

Answer:

none

Step-by-step explanation:

the advantage depends

Answer:

Step-by-step explanation:

The required answer is the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

Explanation:-

a. Economic order quantity (EOQ) is defined as the optimal quantity of inventory to be ordered each time to reduce the total annual inventory costs.

It is calculated as follows: EOQ = sqrt(2DS/H)

Where, D = Annual demand = 100 x 52 = 5200S = Order cost = $57 per order H = Annual holding cost = 0.30 x 10.75 = $3.23 per bag per year .Therefore, EOQ = sqrt(2 x 5200 x 57 / 3.23) = 234 bags. The average time between orders (TBO) can be calculated using the formula: TBO = EOQ / D = 234 / 100 = 2.34 weeks ≈ 2 weeks (rounded to nearest whole number).

Hence, the EOQ is 234 bags and the average time between orders is 2 weeks (approx).b. R is the reorder point, which is the inventory level at which an order should be placed to avoid a stockout.

It can be calculated using the formula:R = dL + zσL

Where,d = Demand per day = 100 / 5 = 20L = Lead time = 1 week (5 working days) = 5 day

z = z-value for 92% cycle-service level = 1.75 (from standard normal table)σL = Standard deviation of lead time demand = σ / sqrt(L) = 16 / sqrt(5) = 7.14 (approx)

Therefore,R = 20 x 5 + 1.75 x 7.14 = 119.2 ≈ 120 bags

Hence, the reorder point R should be 120 bags.c. An inventory withdraw of 10 bags was just made. Is it time to reorder?The current inventory level is 310 bags, which is greater than the reorder point of 120 bags. Since there are no open orders or backorders, it is not time to reorder.d. The store currently uses a lot size of 500 bags (i.e., Q = 500).What is the annual holding cost of this policy.

Annual ordering cost. Without calculating the EOQ, how can you conclude the lot size is too large?Annual ordering cost = (D / Q) x S = (5200 / 500) x 57 = $592.80 per year.

Annual holding cost = Q / 2 x H = 500 / 2 x 0.30 x 10.75 = $806.25 per year. Total annual inventory cost = Annual ordering cost + Annual holding cost= $592.80 + $806.25 = $1,399.05Without calculating the EOQ, we can conclude that the lot size is too large if the annual holding cost exceeds the annual ordering cost.

In this case, the annual holding cost of $806.25 is greater than the annual ordering cost of $592.80, indicating that the lot size of 500 bags is too large.e.

The annual cost saved by shifting from the 500-bag lot size to the EOQ can be calculated as follows:Total cost at Q = 500 bags = $1,399.05Total cost at Q = EOQ = Annual ordering cost + Annual holding cost= (D / EOQ) x S + EOQ / 2 x H= (5200 / 234) x 57 + 234 / 2 x 0.30 x 10.75= $245.45 + $93.68= $339.13

Annual cost saved = Total cost at Q = 500 bags - Total cost at Q = EOQ= $1,399.05 - $339.13= $1,059.92

Hence, the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

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The width of the plainfield is 56 yards, and the length is 216 yards.

Let's start by defining the variables we'll need to solve the problem. We'll use "P" to represent the perimeter of the plainfield, "l" to represent the length of the field, and "w" to represent the width of the field.

From the problem statement, we know that the perimeter of the plainfield is 544 yards, so we can write:

P = 544

The perimeter of a rectangle is given by the formula P = 2(l + w), so we can substitute our variables and get:

2(l + w) = 544

Simplifying this expression, we get:

l + w = 272

Now we need to use the information given about the relationship between the length and width of the field to write an equation that relates the two variables. We know that the length is 8 yards less than a quadruple of the width, so we can write:

l = 4w - 8

We can substitute this expression for "l" in the equation we derived earlier:

l + w = 272

(4w - 8) + w = 272

5w - 8 = 272

5w = 280

w = 56

So the width of the field is 56 yards. We can use the equation we derived earlier to find the length:

l = 4w - 8

l = 4(56) - 8

l = 216

So the length of the field is 216 yards.

Therefore, the width of the plainfield is 56 yards, and the length is 216 yards.

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Strings are sequences of any types of characters (including numbers that are treated as characters rather than digits). Therefore, the correct option is option 2.

The reason for this is that strings are essentially a collection or sequence of characters that are enclosed within quotation marks. They can contain any type of character, including letters, numbers, symbols, and spaces. Unlike numbers, which are treated as digits and can be used in mathematical operations, strings are treated as individual characters and are primarily used for text-based data.

Scalars, variables, and constants can all be used to store data, but they are not necessarily sequences of characters like strings are. Scalars are single values, such as numbers or booleans. Variables can hold any type of data, including scalars, arrays, and objects. Constants are variables whose value cannot be changed once they are defined. While strings can be assigned to variables and constants, they are not the same thing as these types of data. Hence, the correct answer is option 2.

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Answer:

98.

Step-by-step explanation:

98 degrees because 3 and 6 are interior alternate angles.

Answer:

∠ 3 = 98°

Step-by-step explanation:

∠ 6 and ∠ 3 are alternate angles and are congruent, thus

∠ 3 = ∠ 6 = 98°

Answer:

Y= 2/4x + -3

Step-by-step explanation:

Answer:

an=a1+(n-1)*-6

Step-by-step explanation:

a1= 3

the recursive formula is an= a1+ (n-1)d

d= how you get from one to the other

to get from 3 to -18 you could either subtract 21 or multiply it by -6

to find which one you have to look at the next number which is 108

to get from -18 to 108 you would either add 126 or multiply it by -6

since multiplying by -6 is in both that is the answer

d= -6

an=a1+(n-1)*-6

Answer:

Step-by-step explanation:

Therefore, the dimensions of the pool are 30 meters in length, 12 meters in width, and 3 meters in depth.

To find the dimensions of the rectangular pool, we first need to determine the ratio of the length, width, and depth. We are given that the ratio is 10:4:1. We can represent this ratio as:
Length = 10x
Width = 4x
Depth = x

Where x is a common factor that we will use to determine the actual measurements of the pool.
Now, we are given that the volume of the pool is 1,080 cubic meters. We can use the formula for the volume of a rectangular prism, which is:
Volume = Length x Width x Depth
Substituting the values we have for the length, width, and depth, we get:
1,080 = (10x) x (4x) x (x)
Simplifying the equation, we get:
1,080 = 40x^3
Dividing both sides by 40, we get:
27 = x^3
Taking the cube root of both sides, we get:
x = 3

Now that we know x is equal to 3, we can find the actual measurements of the pool by substituting x back into the original ratio we were given.
Length = 10x = 10(3) = 30 meters
Width = 4x = 4(3) = 12 meters
Depth = x = 3 meters

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