F(x) = 2x^3 + 4x^2 , find f(-3)

Answers

Answer 1

Answer:

Step-by-step explanation:

54


Related Questions

How many terms does this equation have?

How many terms does this equation have?

Answers

Answer:

there is 3 terms I think

Step-by-step explanation:

In rhombus ABCD, AB=12 and AC=22. Find the area of the rhombus to the nearest 10.
a) 195
b) 221.3
c) 105.5
d) 100.8

Answers

Answer:

  c)  105.5 square units

Step-by-step explanation:

The area of a rhombus can be computed as half the product of the diagonal lengths.

__

Half the diagonal BD will be one leg of the right triangle formed by the diagonals and the sides of the rhombus. The length of that leg is found using the Pythagorean theorem:

  a² +b² = c²

  11² +b² = 12²

  b² = 144 -121 = 23

  b = √23 ≈ 4.796

This value is half the length of diagonal BD, so multiplying it by the length of diagonal AC will give the area of the rhombus.

  Area = 1/2(AC)(BD) = (22)(4.796) ≈ 105.5 . . . . square units

In rhombus ABCD, AB=12 and AC=22. Find the area of the rhombus to the nearest 10.a) 195b) 221.3c) 105.5d)

The topic is matrices ​

The topic is matrices

Answers

\(k \begin{bmatrix} 2&3\\5&6 \end{bmatrix}~~ = ~~ \begin{bmatrix} 6&9\\15&18 \end{bmatrix}\implies \begin{bmatrix} 2k&3k\\5k&6k \end{bmatrix}~~ = ~~ \begin{bmatrix} 6&9\\15&18 \end{bmatrix} \\\\\\ 2k=6\implies k=\cfrac{6}{2}\implies k=3\)

Tyler makes $17.50 an hour working 40 hours a week, 52 weeks a year at Epic Lady's Club. What is Tyler's monthly take home pay if 3% of his monthly take home pay is deducted by his employer towards retirement?

a
Approx. $91.00
b
Approx. $2,716.00
c
Approx. $3033.33
d
Approx. $2,942.33

Answers

Answer:

C

Explanation:

Approximately $3033.33

Faizah is paid $11 per hour for her work at a factory. She works 9 hours a day and 24 days a month. She saves $594 a month. Express the amount she saves as a percentage of her income.​

Answers

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Need help fast
(X-5)^2+11=20

Answers

Answer:

X= 8, 2

Step-by-step explanation:

So, to solve answers like these you have to have to take the root of both sides and then solve.  Please let me know if you have any questions or if I did not answer it correctly or misunderstood the question so that I can help correct my mistakes.  Hope this helps!!

Answer:

Answer: (x-2) • (x-8)

(X-5)^2+11=20

Step by Step explanation:

1. 1 • 16 = 16

2. Find two factors of 16 which will be -10

-16 + -1 = -17

-8 + -2 = -10

3. x2 - 8x - 2x - 16

4. x • (x-8)

2 • (x-8)

5. (x-2) • (x-8)

(((( Yo Welcome)))

Combine Like Terms
(4+7a^2)^2=

Answers

Answer:

16+56a^2+49a^4

a 12 inch thin‑crust cheese pizza is cut equally into eight slices. assuming a uniform distribution of sauce and toppings,

Answers

If there were any variations in the distribution during the preparation process, the slices might have slight differences in the amount of sauce and toppings.

each slice of the 12-inch thin-crust cheese pizza would have an equal distribution of sauce and toppings. This means that each slice would have the same amount of sauce and toppings spread evenly across its surface.

Since the pizza is cut equally into eight slices, each slice would represent 1/8th of the total pizza. Therefore, each slice would have an equal portion of the sauce and toppings.

It's important to note that the exact amount of sauce and toppings on each slice would depend on the original distribution applied to the pizza before it was sliced. If the pizza was prepared with a uniform distribution of sauce and toppings across the entire pizza, then each slice would indeed have an equal amount. However, if there were any variations in the distribution during the preparation process, the slices might have slight differences in the amount of sauce and toppings.

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The people who responded to a survey reported that they had either brown, green, blue, or hazel eyes. The results of the survey are shown in the table. A 2-column table has 4 rows. The first column is labeled Eye Color with entries brown, green, blue, hazel. The second column is labeled Number of People with entries 20, 6, 17, 7. What is the probability that a person chosen at random from this group has brown or green eyes? StartFraction 3 Over 25 EndFraction StartFraction 7 Over 25 EndFraction StartFraction 13 Over 25 EndFraction StartFraction 17 Over 25 EndFraction

Answers

Answer:

13/25

Step-by-step explanation:

The total number of people is 20 + 6 + 17 + 7 = 50.

Of these, the number that have brown or green eyes is 20 + 6 = 26.

So the probability is 26/50, which reduces to 13/25.

The probability that a person chosen at random from this group has brown or green eyes is; 13/25

How to find the probability?

From the given data values, we can deduce that;

Total number of people = 20 + 6 + 17 + 7 = 50.

Now, the total number of people that have brown or green eyes is;

Total(brown or green eyes) = 20 + 6 = 26.

Thus, the probability that a person chosen at random from this group has brown or green eyes is;

P(brown or green eyes) = 26/50 =  13/25.

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Emmy goes through a 50-ounce jug of laundry detergent in 40 loads. At the store, she
bought a jumbo jug of detergent. The jumbo jug contains 150 ounces of detergent.
How many loads of laundry can Emmy do with the jumbo jug of laundry detergent?

Answers

Observing 150 is 3 times 50
So to keep it equivalent
40 times 3 is 120

Hence 120 loads of laundry is required with jumbo jug of laundry detergent.

What is laundry detergent?

A sort of detergent (cleaning agent) used to clean soiled laundry is laundry detergent (clothes). There are two types of laundry detergent produced: powder (washing powder) and liquid. Builders (about 50% by weight), surfactants (15%), bleach (7%), enzymes (2%), soil deposition inhibitors, foam regulators, corrosion inhibitors, optical brighteners, color transfer inhibitors, perfumes, dyes, fillers, and formulation aids may all be present in laundry detergents.

∵ Number of jumbo jug = 150 /50

                                     n = 3

∴ Laundry loads required of detergent:

 = 40 * n

= 40 * 3

= 120 loads

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plz answer don't send link ​

plz answer don't send link

Answers

Here you go the answer is in the picture
plz answer don't send link

All rectangles are rhombuses. True/False

Answers

Answer:

False.

Step-by-step explanation:

The definition of a rectangle is that it has 2 pairs of congruent opposite sides.

When a rhombus has to be equal in ALL sides.

Another proof is that a rectangle have 4 90 degree angles.
Whilst a rhombus DOES not have a single right angle no matter the case.

A more advanced proof would be if the diagonals would be perpendicular or if the diagonals would bisect two angles of a rhombus.
Whilst a rectangle’s diagonal are only congruent, not neccisalry perpendicular or bisects two angles.

A company has 14 employees at the cental, 8 employees at the north and 6 employees at the south. They want to lay off 12 employees. In how many ways can this be done?

Answers

Here are 98,280 ways to lay off 12 employees from the company.

What is combination?

In mathematics, a combination is a way of selecting objects from a set, where the order in which the objects are selected does not matter. Combinations are used in various areas of mathematics and statistics, as well as in real-world applications such as probability theory, genetics, and computer science.

We can solve this problem using combinations. We need to choose 12 employees out of a total of 14+8+6=28 employees. The number of ways to do this is:

\({28 \choose 12} \\= \frac{28!}{12!16!} = 98,!280\)

Therefore, there are 98,280 ways to lay off 12 employees from the company.

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Please select the correct answer from the group of answer choices for each part of the question:
1a. Consider the computing load of a sum of 100 scalar variables and one matrix subtraction of a pair of two-dimensional array with dimensions 100x100. Assume the matrix subtraction is fully parallelizable, calculate the speedup using 100 processors assuming 10 processors carry 20% of the load and the rest load is shared among the rest 90 processors evenly?
A: 101/3
B: 101/2
C: 101
D: 100
1b: For the following vector MIPS code DAXPY which performs Y=a x X+Y, fill the two blank instructions.
L.d $f1, a($sp) ;load scalar a
Lv $v0, 0($s0) ;load vector x
__________________ ;vector-scalar multiply
Lv $v2, 0($s1) ;load vector y
___________________ ;add y to product
Sv $v3, 0($s1) ; store the result
A:
mul.d $v1, $v0, $f1
add.d $v3, $v1, $v2
B:
mulvs.d $v1, $v0, $f1
addv.d $v3, $v1, $v2
C:
mul.d $v2, $v0, $f1
add.d $v3, $v1, $v2
D:
mulvs.d $v2, $v0, $f1
addv.d $v3, $v1, $v2
1c. Which of the following statement is incorrect?
A: Both multithreading and multicore rely on parallelism to get more efficiency from a chip.
B: In coarse-grained multithreading, switching between threads only happens after significant events such as last-level cache miss.
C: In fine-grained multithreading, switching between threads happens after every instruction.
D: Simultaneous multithreading (SMT) uses threads to improve resource utilization of statically scheduled processor.
1d. In the roofline model, the attainable GFLOPs/sec is set by _____?
A: Peak Memory BW x Arithmetic Intensity
B: Peak Floating-Point Performance
C: Min (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)
D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)

Answers

The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).

1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.

The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.

The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.

In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.

Therefore, the correct answer is C: 101.

1b. A:

mul.d $v1, $v0, $f1

add.d $v3, $v1, $v2

The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.

1c. C: In fine-grained multithreading, switching between threads happens after every instruction.

In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.

1d. B: Peak Floating-Point Performance

In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.

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Which statement is true about the ratios of squares to circles in the tables? O The ratios in Table A are greater than the ratios in Table B. O The ratios in Table B are greater than the ratios in Table A. o Only some of the ratios in Table A are greater than the ratios in Table B. O The ratios in Table A are equal to the ratios in Table B.​

Answers

[B]   The ratios in Table B are greater than the ratios in Table A.

Step-by-step explanation:

Can i get brainlist

Answer: Answer is b

Step-by-step explanation: I took the test and got 100%

what is the shortest possible length of the line segment that is cut off by the first quadrant and is tangent to the curve y

Answers

The shortest possible length of the line segment cut off by the first quadrant and tangent to the curve y = f(x) is the distance between the origin and the point of tangency.

Consider a curve y = f(x) that passes through the origin and lies entirely in the first quadrant. Let P = (a, f(a)) be a point on the curve where the tangent line at P is parallel to the x-axis. Then, the line segment cut off by the first quadrant and tangent to the curve at P is the line segment from the origin to P.

Since the tangent line at P is parallel to the x-axis, its slope is zero. The slope of the tangent line at P is also equal to the derivative of the curve at a, f'(a). Therefore, we have:

f'(a) = 0

This implies that a is a critical point of the curve, which means that either f'(a) does not exist or f'(a) = 0. Since the curve lies entirely in the first quadrant and passes through the origin, we must have f(0) = 0 and f'(0) > 0.

If f'(a) = 0, then P = (a, f(a)) is a point of inflection of the curve, and the tangent line at P is horizontal. In this case, the line segment from the origin to P is simply the y-coordinate of P, which is f(a).

If f'(a) does not exist, then P is a corner point of the curve, and the tangent line at P is vertical. In this case, the line segment from the origin to P is simply the x-coordinate of P, which is a.

Therefore, the shortest possible length of the line segment cut off by the first quadrant and tangent to the curve at P is given by the distance between the origin and P, which is either f(a) or a, depending on whether P is a point of inflection or a corner point.

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Jamie needs to build a fence around his garden, as illustrated by polygon ABCDEF on the coordinate grid below. If each unit represents one yard, what is the total length of Jamie's fence in yards?
6
B
4
с
-6
4
- 2
0
4
6x
-64
Previous
Pause
Next
Type here to search
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9
00
2:28 PM
9/22/2020

Answers

Answer:

26 yards

Step-by-step explanation:

The complete question is attached in the image below.

The distance between two points O(\(x_1,y_1\)) and P(\(x_2,y_2\)) is:

\(|OP|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The location of the points of the polygon are as follows:

A(-5, 5), B(0. 5), C(4,2), D(1, -2), E(-2, -2), F(-5, 2). Therefore:

\(|AB|=\sqrt{(0-(-5))^2+(5-5)^2}=5\ yards \\\\|BC|=\sqrt{(4-0)^2+(2-5)^2}=5\ yards \\\\|CD|=\sqrt{(1-4)^2+(-2-2)^2}=5\ yards \\\\|DE|=\sqrt{(-2-1)^2+(-2-(-2))^2}=3\ yards\\ \\|EF|=\sqrt{(-5-(-2))^2+(2-(-2))^2}=5\ yards \\\\|FA|=\sqrt{(-5-(-5))^2+(2-5)^2}=3\ yards\)

The perimeter of the fence = |AB| + |BC| + |CD| + |DE| +  |EF| + |FA| = 5 + 5 + 5 + 3 + 5 + 3 = 26 yards.

Jamie needs to build a fence around his garden, as illustrated by polygon ABCDEF on the coordinate grid

arrange the numbers in increasing order a. 8.08 8.081 8.09 8.008b. 14.204. 14.200. 14.240 14.210

Answers

Given:

a)

\(8.08,8.081,8.09,8.008\)

b)

\(14.204,14.200,14.240,14.210\)

Required:

To arrange in the increasing order.

Explanation:

a)

Here, the first two places' numbers are the same.

Let us check the hundredth decimal place.

The lowest number is 8.008.

The second lowest number is 8.08.

The third lowest number is 8.081

The fourth lowest number is 8.09.

So, the numbers are in ascending order is,

\(8.008,8.08,8.081,8.09\)

b) Here, the first t places' numbers are the same.

Let us check the hundredth decimal place.

The lowest number is 14.200.

The second lowest number is 14.204.

The third lowest number is 14.210.

The fourth lowest number is 14.240.

So, the numbers ar

Wayne bought a TV on hire purchase terms he paid the deposit of 2000 the remaining amount was paid in five equal monthly installments he paid a total of 9200 how much was each installment​

Answers

Answer:

4,600 đnjxjbsbsbdbdhehsh

describe fully the single transformation which takes shape A to shape B

Answers

Answer:

You need to show us the shapes first bro

Step-by-step explanation:

You are on the planning committee for the city road race.
Your job is to plan a route for the race according to the
rules below.
- The race has to be more than 3 miles but less than
5 miles in length.
- The race should start and stop at the same place.
- No part of the race can run through Central Avenue.
.
Here is a city map. Each city block (small square on the
map) is 0.1 mile by 0.1 mile.
Use a coordinate grid to draw the race route. Label the
vertices of the polygon that you draw with coordinate
pairs. Show and explain why your route meets all of the
rules. Then write a description of the route using
directional words and street names.

PLEASE HELP NEED TO FINSH BEFORE 10 WHOEVER ANSWERS THIS I WILL GIVE BRAINLIEST

Answers

Answer:

To plan a route for the city road race that meets the given rules, we can use the following steps:

Determine a starting and ending point that is not on Central Avenue. For example, we can choose the intersection of Maple Street and Oak Street.

Choose a path that is more than 3 miles but less than 5 miles in length. One possible path is to go east on Oak Street for 0.5 miles, then turn right (south) on Pine Street for 1 mile, then turn right (west) on Elm Street for 1 mile, then turn left (south) on Cedar Street for 0.5 miles, then turn left (east) on Maple Street for 1 mile, and finally turn right (south) on Oak Street for 0.5 miles to return to the starting point.

Verify that no part of the race runs through Central Avenue. This is satisfied by the chosen path.

Draw the race route on a coordinate grid, labeling the vertices with coordinate pairs.

The race route can be represented by the following polygon:

(5,0) (6,0)

+-----+

| |

| |

| |

| |

| |

+-----+

(6,-2) (5,-2)

Here is a description of the race route using directional words and street names:

Start at the intersection of Maple Street and Oak Street. Go east on Oak Street for 0.5 miles, then turn right (south) on Pine Street for 1 mile, then turn right (west) on Elm Street for 1 mile, then turn left (south) on Cedar Street for 0.5 miles, then turn left (east) on Maple Street for 1 mile, and finally turn right (south) on Oak Street for 0.5 miles to return to the starting point at the intersection of Maple Street and Oak Street.

Use partial fractions to rewrite the sum of an infinite series from n=1 to [infinity] for (1)/(n(n+3))as a telescoping series and find its sum

Answers

The sum of infinite series using partial fractions becomes 3/10.

Firstly we should decompose the given equation by partial fraction

1/(n(n+3)) = A/n + B/(n+3)

Multiplying both sides by n(n+3), we get:

1 = A(n+3) + Bn

Putting n = 0, we get:

1 = 3A

So A = 1/3.

Putting n = -3, we get:

1 = -3B

So B = -1/3.

Therefore

1/(n(n+3)) = 1/3n - 1/3(n+3)

Rewriting in the form of telescoping series:

∑(1/(n(n+3)), n=1 to infinity) = ∑(1/3n - 1/3(n+3), n=1 to infinity)

= (1/3 + 1/6) - (1/6 + 1/9) + (1/9 + 1/12) - (1/12 + 1/15) + ...

Now here the first term of the second pair gets canceled by the second term in the first pair and it goes on.

Leading many pairs to cancel out.

∑(1/(n(n+3)), n=1 to infinity) = (1/3 + 1/6) - 1/15 = 3/10

Therefore, the sum of the given series is 3/10.

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how many yards are in 45 inches

Answers

Answer:

1.25

Step-by-step explanation:

54 is 32% of what number? Round to the nearest hundredth if necessary.

Answers

Answer:

The answer 168.75 without rounding and rounding its also 168.75

Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured in meters.
Here is a graph that represents d.
80
60
40
20 40 60 80 100 120 140 160 180
time (seconds)
Select all statements in function notation that represent the situation.
Od(30) = d (70)
Id(10) = 20
Od (90) < d (160)
Id(t) = 10 when t is 20
Od (0) = 0
Id(0) = 170
Id(170) = 0

Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured

Answers

Answer:

:)

Step-by-step explanation:

d(0)=0

d(0)=170

d(90)<d(160)

d(t)=10 when t is 20

The true statements from the function are:

d(30) = d(70)d(10) = 20d(0)=0d(170) = 0.

Functions can be represented as graphs and equations.

The equation of the graph is represented as:

\(y = d(t)\)

From the graph, we have the following parameters

\(d(30) =d(70) = 40\)

\(d(10) = 20\)

\(d(0) = d(170) = 0\)

Hence, the true options are (a), (b), (e) and (h)

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help needed please an thank you​

help needed please an thank you

Answers

Answer:

A

Step-by-step explanation:

Answer:

the answer is A your welcome

An in vestment of $1 was put in a account.every 8 years the money was doubled.no additional money was added to the account.would the expression 1x2x2x2x2x2x2 correctly represent how much was in investment account after 48 years?explain

Answers

Answer:

Yes

Step-by-step explanation: Because ever eight years the money in the account doubles, and 48/6=8 so your money would double 6 times, just like it does in the expression.

4. Is it appropriate to use an absolute value inequality to represent how a player wins
this game? Why? (2 points: 1 point for an answer, 1 point for an explanation)

Answers

Using it's concept for the difference between points, the absolute value inequality |x - y| < 10 represents when Erik wins the game, and the inequality |x - y| ≥ 10 represents when Nina wins the game.

What is the missing information?

Erik and Nita are playing a game with numbers. In the game, they each think of a random number from zero to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers to greater than 10, then Nita wins. Use what you know about inequalities and absolute values to better understand the game.

What is the absolute value function?

The absolute function is defined by:

|x| = x, x ≥ 0.|x| = -x, x < 0.

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

For this problem, we have that:

Erik's number is x.Nina's number is y.

The difference between these two numbers is:

|x - y|.


Erik wins if the difference is less than 10, hence:

|x - y| < 10.

Hence:

Using it's concept for the difference between points, the absolute value inequality |x - y| < 10 represents when Erik wins the game, and the inequality |x - y| ≥ 10 represents when Nina wins the game.

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Write an equation for the line that passes through the points (0,-6) and (-3,0). HELP

Answers

Answer:

Equation: y = -2x - 6.

Step-by-step explanation:

picture

Write an equation for the line that passes through the points (0,-6) and (-3,0). HELP

Kim has a rope that is 1/2 meter long.she wants to cut it into 5 pieces.each piece must be the same size.how long will each piece be?

Answers

Each piece must be the same size, each piece will be 1/10 meter long.

To determine the length of each piece, we divide the total length of the rope (which is 1/2 meter) by the number of pieces (which is 5).

In this case, we are dividing the length of the rope into 5 equal parts. By dividing 1/2 meter by 5, we are essentially distributing the length evenly among the 5 pieces.

Dividing 1/2 meter by 5 gives us 1/10 meter. This means that each piece will have a length of 1/10 meter.

By ensuring that each piece is the same size, Kim can divide her 1/2 meter rope into 5 equal pieces, with each piece measuring 1/10 meter in length.

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100 POINTS PLEASE HELP! Which of the following is a consumer? A. Mushroom B. Fern C. Seaweed D. Pine tree. Mushroom. Today you will need to look at the following problem and explain what Susan did incorrectly. a/an ________ _________ drug will be effective on both gram-positive and gram-negative bacteria, but not in a wide range identify the true statments. select all that apply. constructos must have the same name as the class. What kind of bad weather did Brian experience in chapter 16?In hatchet 14. (19 pts) Researchers are interested in comparing the distributions of the length of time (in minutes) individuals spend at the drive thru at the bank compared to the drive thru at a fast food rest A client with diabetes has started thyroid hormone replacement therapy. the nurse should monitor closely for which effects? Micah wants to know how much principal, P, he should invest at interest rate, r, to have an amount, A, of money at the end of t years. He knows that the formula for the final amount earned using simple interest can be found using the formula, A - P(1 + rt). Which equation is rewritten correctly to isolate principal, P Solve 3(x + 1) + 6 = 33. The equation of the line A is 3x+2y=10.line B is parallel to line A and passes through the points (4,6).find the equation of the line B. Addy company has 2 products: A and B. The annual production and sales of Product A is 1700 units, and the annual production and sales of Product B is 1100 units. The company has traditionally used Direct Labor Hours to apply all manufacturing overhead to products.Product A requires 0.3 Direct Labor Hours per unit.Product B requires 0.6 Direct Labor Hours per unit.Total estimated overhead for the period is $98,785The company is considering switching to an Activity Based Costing system. The new ABC system would have 3 overhead cost pools, with overhead costs and activity as follows: Estimated Overhead Expected ActivityActivities Cost Product A Product B Product CActivity 1 $30,528 1000 MH 600 MH 1600 MHActivity 2 $17,385 1700 Setups 200 Setups 1900 SetupsTotal $50,872 510 DLH 660 DLH 1170 DLHThe pre-determined overhead rate under the traditional costing system is closest to:a. $9.15.b. $43.48.c. $84.43.d. $19.08. A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and the thirdis a money market fund that provides a safe return of 8%. The characteristics of the risky funds are as follows:Expected ReturnStock fund (S)Bond fund (B)13Standard Deviation38%18The correlation between the fund returns is 0.12. a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds? a 2% increase in customer retention has the same net effect on a business as decreasing costs by 10% A talent competition has 5 judges, each of whom awards a score between 0 and 10 for each performer. Fractional scores, such as 8.3, are allowed. A performers final score is determined by dropping the highest and lowest score received, then averaging the three remaining scores. Write a program that uses this method to calculate a contestants score. Which of the following best describes the relationship between gas and volcaniceruptions?A The more gas magma contains, the more explosive a volcanic eruption will be.BThe presence of gas in magma decreases the likelihood of a volcanic eruption.As gas builds up in magma, volcanic eruptions occur once in the magma chamberand once above groundGas found in magma determines only the intensity of eruptions involvingcomposite volcanoes and not shield volcanoes.D Real is your boss and the treasurer of Free Cash Flow (FCF). She asked you to help her estimate the intrinsic value of the company's stock. FCF just paid a dividend of GHS 1.00, and the stock now sells for GHS 15.00 per share. Real asked a number of security analysts what they believe FCF's future dividends will be, based on their analysis of the company. The consensus is that the dividend will be increased by 10% during Years 1 to 3, and it will be increased at a rate of 5 5% per year in Year 4 and thereafter. Real asked you to use that information to estimate the required rate of return on the stock The virginia opossum arrived in north america in the pleistocene.True or False (b) Explain whether the energy-level differences have a realistic order of magnitude. What is the range of the following set of data?4, 8, 3, 5, 5, 7, 6, 4