If the volume of the cube is (4)(4)(4) =
64 cm3, what is the volume of the oblique
prism if it has been tilted at 60°?

Answer:

Step-by-step explanation:

change in x (horizontal) = 4 - 1 = 3

Change in y (vertical)  = 9 - 3 = 6

Slope = change in x / change in y

slope = 3 / 6 = 1/2

The number of hours the student should record on the nighttime picture to complete a day-night cycle = 13 hours

The correct answer is an option (c)

We need to find the number of hours the student should record on the nighttime picture to complete a day-night cycle.

From the following pictures we can observe that, the sunrise time is 7:10 A.M. and the sunset timing is 6:10 P.M.

This means that thet daytime is of 11 hours (from 7:10 A.M. to 6:10 P.M.)

We know that the number hours in a day = 24

Let us assume that x represents the nighttime hours.

From this situation we get an equation,

x = 24 - 11

x = 13 hours

And the nighttime cycle would be:

from 6:10 P.M. to 7:10 A.M.

Therefore, the required number of hours = 13 hours

The correct answer is an option (c)

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Find the complete question below.

1. The payment amount and the interest on the loan, we need to use the formula for calculating compound interest. The formula is: A = P(1 + r)^n

Where:
A is the total amount after n years,
P is the principal amount (loan amount),
r is the interest rate per period (in this case, 10% per year),
n is the number of periods (in this case, 2 years).

(a) To find the amount of the payment, we need to calculate the total amount (A) and subtract the principal amount (P):

A = P(1 + r)^n
A = $1,600,000(1 + 0.10)^2
A = $1,600,000(1.10)^2
A = $1,600,000(1.21)
A = $1,936,000

Payment amount = A - P = $1,936,000 - $1,600,000 = $336,000

(b) To find the amount of interest, we subtract the principal amount from the total amount:

Interest = A - P = $1,936,000 - $1,600,000 = $336,000

Therefore, the amount of the payment is $336,000 and the amount of interest is also $336,000.

2. To find the interest rate, we can use the formula for compound interest:

A = P(1 + r)^n

Where:
A is the future amount ($2.42 million),
P is the present amount ($2 million),
r is the interest rate per period (unknown),
n is the number of periods (1 year).

We can rearrange the formula to solve for r:

r = (A/P)^(1/n) - 1
r = ($2.42 million / $2 million)^(1/1) - 1
r = 1.21 - 1
r = 0.21

Therefore, the interest rate is 21%.

3. To find the original loan amount, we can use the formula for calculating the future amount with compound interest:

A = P(1 + r)^n

Where:
A is the total cost of repaying the loan ($82 million),
P is the original loan amount (unknown),
r is the interest rate per period (8% per year),
n is the number of periods (1 year).

We can rearrange the formula to solve for P:

P = A / (1 + r)^n
P = $82 million / (1 + 0.08)^1
P = $82 million / 1.08
P ≈ $75.93 million

Therefore, the amount of the original loan was approximately $75.93 million.

4. To find the number of years required for the investment to reach at least $425,000, we can use the formula for compound interest:

A = P(1 + r)^n

Where:
A is the future amount ($425,000),
P is the initial investment ($280,000),
r is the interest rate per period (15% per year),
n is the number of periods (unknown).

We can rearrange the formula to solve for n:

n = log(A/P) / log(1 + r)
n = log($425,000/$280,000) / log(1 + 0.15)
n ≈ 4.61 years

Therefore, it would take approximately 4.61 years for the investment to cumulate to at least $425,000 at a 15% per year interest rate.

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It will take 3 hours to bake 3 pans of baked macaroni if the oven can only bake one pan of baked macaroni for 1 hour.

If Jeanna's oven can only bake one pan of baked macaroni for 1 hour, then it will take 3 hours to bake 3 pans of baked macaroni. This is because the time it takes to bake the pans is directly proportional to the number of pans being baked. Therefore, if it takes 1 hour to bake 1 pan, it will take 3 hours to bake 3 pans. So, the answer is 3 hours.

It is important to note that the number of pans Jeanna wishes to bake, which is 34 pans, is irrelevant to the question. The question only asks for the time it will take to bake 3 pans of baked macaroni, so the number of pans Jeanna wishes to bake does not affect the answer.

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Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

Use the distance formula to solve for the direct distance from (4,-4) up to (-14,8)

Since 1 grid is equal to 0.125 miles. Multiply the distance in units and we get

Rounding to 2 decimal places, the direct distance is 2.70 miles.

Let's rewrite the recurrence T(n) = 2T(n/2) + Θ(lg n) in terms of m and S(m):

To solve the recurrence T(n) = 2T(n/2) + Θ(lg n) using the change-of-variables method, we define m = lg n and S(m) = T(2^m).

Now, let's rewrite the recurrence in terms of m and S(m).

First, let's substitute the value of n in terms of m:

n = 2^m

Next, let's express T(n) in terms of m and S(m):

T(n) = T(2^m) = S(m)

Now, let's rewrite the recurrence T(n) = 2T(n/2) + Θ(lg n) in terms of m and S(m):

T(n) = 2T(n/2) + Θ(lg n)

S(m) = 2T(2^(m-1)) + Θ(m)

Since n = 2^m, we can substitute n/2 with 2^(m-1):

S(m) = 2T(2^(m-1)) + Θ(m)

This is the rewritten recurrence in terms of m and S(m).

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Answer:ok so u have to help

Step-by-step explanation:

Answer:

The is answer is 120sq. ft.

Step-by-step explanation:

To find the area mulitply 10 by 12 and you get 120.

Answer:

A ≈ 55.6 cm²

Step-by-step explanation:

The area (A) of the shaded region is calculated as

A = area of circle × fraction of circle

central angle of shaded region = 360° - 230° = 130° , then

A = πr² × \(\frac{130}{360}\)

   = π × 7² × \(\frac{13}{36}\)

   = 3.14 × 49 × \(\frac{13}{36}\)

   ≈ 55.6 cm° ( to the nearest tenth )

the general formula of a parabola is

we can replace the the points to find a,b and c

First (0,4)

Then (-5,1.5) and c=4

Answer:

Check pdf

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

\(f(x) = {x}^{3} + 4( {x}^{2}) \\ \\ f( - 2) = ( { (- 2)}^{3} ) + 4( { (- 2})^{2} ) \\ \\ = - 8 + 16 = 8\)

just put -2 in place of x

the answer is 8

Answer:

x × 3 + 5\(x^{2}\) - x- 5

reorder the terms

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

collect like terms

2x + 5\(x^{2}\) - 5

reorder the terms

Solution

5\(x^{2}\) + 2x -5

Answer:

\( {x}^{3} + 5 {x}^{2} - x - 5 \\ {x}^{2} (x + 5) - 1(x + 5) \\ (x + 5)(x - 1) \\ \\ (x + 5)( {x}^{2} - {1}^{2} ) \\ (x + 5)(x - 1)(x + 1) \\ \)

Answer:

15-8+-16

Step-by-step explanation:

The correct formula for the expression is,

⇒ f (x)  = - 6 cos (π/4.5x - 2π) + 2

Since, Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a function:

f(x) = a cos(bx + c) + d

Here a is the amplitude:

Since, The value of d is the average of maximum and minimum.

Hence,  d = (9 - 5)/2 = 4/2 = 2

And, The value of 'a' is the difference between the maximum value and d.

Hence,  a = -4 -(2) = - 6

Here, the half-period is,

= π - 3π/4) = π/4

=  b = 2π/9 = π/4.5

The value of c is the value makes the cosine zero at x= 9

⇒  (π/4.5)(9) +c = 0

⇒  c = -2π

Hence, Function is,

f (x) = - 6 cos (π/4.5x - 2π) + 2

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Answer:

The correct answer would be:

f (x) = - 6 cos (π/4.5x - 2π) + 2

Answer:

20.24

Step-by-step explanation:

Recall SOH, CAH, TOA and realize that TOA is the easiest one

we have

\(tan(39)=\frac{x}{25}\\tan(39)*25=x\\20.24=x\)

Answer:

Not larger or smaller; the areas are the same

Step-by-step explanation:

Recall that the formula for the area of a triangle of base b and height h is

A = (1/2)(b)(h).

In the first case, h = 3 ft and b = 2.5 ft.  This results in an area of 3.75 ft^2.

In the second case, h = 2.5 ft and b = 3 ft.  The area is the same:  3.75 ft^2.

This is because A = (1/2)(b)(h) has the same value regardless of the order in which b and h  are used as multipliers.

There is no difference in the areas of the two signs.  The areas are the same.

Answer:

7(4x+7)

Step-by-step explanation:

28x+49

Rewriting

4*7*x + 7*7

Factor out a 7

7(4x+7)

Answer:

7(4x+7)

Step-by-step explanation:

Just divide both numbers by the common factor,7.

Answer:

C is your answer

Step-by-step explanation:

Because it’s scientific notation 4.325x10^6 is adding 6 zeros behind your decimal so it would be

4,325,000,000 that proves its c

Answer:

C 35 hours

Explanion

5.25+4.75=10 every two days

10/2=5 hours a day

5x7=35 hours a week

Please mark brainliest

Answer:

$43,264

Step-by-step explanation:

theres 52 weeks in a year so you just do $832 x 52

Answer:

The value of k is -21

Step-by-step explanation:

ax² + bx + c = 0

Sum of the roots = -b/a

3x² + kx + 1 = 0

= sum of the roots = -k/3

-k/3 = 7

Now, Multiply both side by (-3) we get,

(-3)-k/3 = 7(-3)

k = -21

Thus, The value of k is -21

-TheUnknownScientist 72

Answer:

$14,362

Step-by-step explanation:

The computation of the minimum unit cost is shown below:

Given that

0.6x^2 - 108x + 19,222

And as we know that the quadratic equation form is

ax^2 + bx + c

where

a = 0.6

b = -108

c = 19,222

Now for determining the minimal cost we applied the following formula which is

\(= \frac{-b}{2a} \\\\ = \frac{-(-108)}{2\times 0.6} \\\\ = \frac{108}{1.2}\)

= 90

Now put these values to the above equation

\(= 0.6\times 90^{2} - 108 \times 90 + 19,222\)

= 14,362

Answer: -4h-4

Step-by-step explanation: the -4 stays the same, and then it’s just 2h -6h.

Answer:

x = 16

Step-by-step explanation:

An insurance company experienced the following mobile home losses in 10,000's of dollars for 50 catas- trophic events: The answers are as follows:

(a) To find the five-number summary of the data, we arrange the losses in ascending order:

1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 7, 7, 9, 9, 10, 11, 12, 22, 24, 28, 29, 31, 33, 36, 38, 38, 38, 39, 41, 48, 49, 53, 74, 82, 117, 134, 192, 207, 224, 225, 236, 280, 301, 308, 351, 527

The five-number summary consists of the minimum value (1), the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value (527):

Minimum: 1

Q1: 5

Q2 (Median): 29

Q3: 74

Maximum: 527

Using these values, we can draw a box-and-whisker diagram.

(b) The Interquartile Range (IQR) is calculated by subtracting Q1 from Q3: IQR = Q3 - Q1 = 74 - 5 = 69

The inner fences are calculated as follows:

Lower Inner Fence (LIF) = Q1 - 1.5 * IQR

Upper Inner Fence (UIF) = Q3 + 1.5 * IQR

The outer fences are calculated as follows:

Lower Outer Fence (LOF) = Q1 - 3 * IQR

Upper Outer Fence (UOF) = Q3 + 3 * IQR

(c) The box plot can be drawn using the five-number summary, the fences, and identifying suspected outliers and outliers based on their position relative to the fences.

(d) Based on the distribution of losses, we can observe that there are some high values that significantly deviate from the majority of the data points, which are relatively lower. This indicates a right-skewed distribution, where the majority of losses are concentrated at the lower end, with a few extreme values at the higher end.

The presence of suspected outliers and outliers also suggests the presence of significant variability in the losses experienced by the insurance company.

Note: The specific values and the visual representation of the box-and-whisker diagram and box plot may vary based on the software or method used for analysis.

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Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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Answer:

multiply the feet by 3

Step-by-step explanation:

one yard is 3 feet so you multiply the feet by 3

the correct answer is a. likely to be due to true differences between the groups.

If we say we have statistically significant results, it means that the results are likely to be due to true differences between the groups. Statistical significance is a term used in hypothesis testing to determine if the observed differences between groups are likely to be real and not due to chance.

When conducting a statistical analysis, researchers compare the data from different groups or samples to see if there is a significant difference between them. This involves calculating a p-value, which represents the probability of obtaining the observed results if there were no true differences between the groups.

If the p-value is less than a predetermined threshold, typically 0.05, then the results are considered statistically significant. This means that the likelihood of obtaining the observed results by chance alone is very low, and it is more likely that the differences between the groups are due to a real effect.

For example, let's say we conduct a study to compare the effectiveness of two different treatments for a medical condition. If we find that the p-value is less than 0.05, we can conclude that there is a statistically significant difference between the treatments, and the observed improvement in one group is likely to be due to the treatment itself rather than random chance.

In summary, when we say we have statistically significant results, it means that the observed differences between groups are likely to be due to true differences rather than chance. This provides evidence for the presence of a real effect or relationship between the variables being studied.

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