What solid is represented by this net? A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid

What Solid Is Represented By This Net? A. Cylinder B. Triangular Pyramid C. Rectangular Prism D. Triangular

Answers

Answer 1

Answer:

Triangular Prism

Step-by-step explanation:

Answer 2

Answer:

Triangular Prism

Step-by-step explanation:

Because I'm smart


Related Questions

FIRST WILL GET BRAINLLEST Each group of students receives a bag that has 8 red cubes, 2 green cubes, and 10 blue cubes. If each group makes 100 pulls and replaces the cube after each pull, how many times would you expect them to draw a green cube?

Answers

Answer:

10

Step-by-step explanation:

We can do the ratio of 8:2:10. If we add it all up, we get 20. We do 100/20 and get 5, so each number equals 5. Then we do 2*5.

Sorry if this is wrong.

What is the approximate area of the shaded sector in the circle shown below? O A. 25 in2 4.3 in 155 B. 5.82 in2 IC O C. 11.63 in2 D. 50 in2 SUBMIT

Answers

Answer:

D. 25 inch²

Step-by-step explanation:

Area of sector of a circle =(r^2∅) /2

where,

r = radius of the circle

∅= angle subtended by the arc at the center of circle in radians.

Given :

∅ =155°  

radius =4.3 in

Convert 155° to radian

πradian=180°

155°=π / 180°*155°

=2.705 radians

Area of sector of a circle =(r^2∅) /2

=(4.3^2 * 2.705) / 2

=(18.49 * 2.705) / 2

=50.01545 / 2

=25.007725 inch²

Approximately 25 inch²

25in^2

hope this helpsss ✓✓✓

Terry bought some gum and candy. The number of packages of chewing gum was one more than the number of mints. The number of mints was three times the number of candy bars. If gum was 6 cents a package, mints were 3 cents each, and candy bars were 10 cents each, how many of each did he get for 80 cents?

Answers

Answer:

2 Candy bars

6 Mints

7 Gum

Step-by-step explanation:

Candy bars=x

mints=3x

gum=3x+1

10(x)+3(3x)+6(3x+1)=80

10x+9x+18x+6=80

37x=80-6

37x=74

x=2

SO:

cand bars = x = 2

mints = 3x = 6

gum = 3x+1 = 7

Answer:

2 candy bars, 6 mints, and 7 packages of gumm

Step-by-step explanation:

The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping.

24x3 − 54x2 + 44x − 99

24x3 + 44x − 54x2 − 99

4x(____) − 9(____)

What is the common factor that is missing from both sets of parentheses?The polynomial 24x^3 − 54x^2 + 44x − 99 is factored by grouping.

Answers

The answer should be
24x3+44x-54x2-99

Answer:C

Step-by-step explanation:It’s C on edge

Which is the best approximation for the solution of the system of equations? y = A system of equations. y equals negative StartFraction 2 over 5 EndFraction x plus 1. y equals 3 x minus 2.x + 1 y = 3x – 2 A coordinate grid with 2 lines. The first line passes through (0, 1) and (5, negative 2). The second line passes through (0, negative 2) and (1, 1). the lines appear the intersect at a point that is almost to 1 and almost to 1. (0.45, 0.88) (0.88, 0.65) (0.88, 1.1) (1.3, 0.88)

Answers

Answer:

(0.88, 0.65)

Step-by-step explanation:

Given that the two equations of the line are:

y =( -2/5)x + 1 and  y = 3x – 2. To find the solution, we have to solve the equations simultaneously.

y =( -2/5)x + 1       .             .            .      1)

y = 3x – 2             .            .             .      2)

Subtracting equation 1 from equation 2:

3.4x -3 = 0

3.4x = 3

Dividing through by 3.4

3.4x/3.4 = 3/3.4

x = 0.88

To find y, substitute x = 0.88 in equation 2:

y = 3(0.88) - 2

y = 2.65 - 2

y = 0.65

This means that the solution to the system of equations is the point of intersection of the two lines which is at (0.88, 0.65)

Answer:

(0.88, 0.65)

Step-by-step explanation:

i just took the test

Anyone know this need help please

Answers

Answer:

81.1

Step-by-step explanation:

The formula to find the cirumference is C=πd

We know d=diameter

so.. C=25.8π

That's gives us 81.053

round it after to approximately 81.1

Answer:

find the equation to find a circumference of circle with that diameter

Step-by-step explanation:

google

Referring to triangle ABC, find the area of the triangle.
a = 4.34 ft, b = 3.78 ft, c = 5.27 ft
Round your answer to three significant digits.

Answers

Answer: area of triangle = 13.4 ft  ( after rounding the answer to 3 significance figures)

Step-by-step explanation:

formula for the area of triangle

= S + S + S

= 4.34 + 3.78 + 5.27

= 13.9 ft

= 13.4 ( after rounding off to three significant figures )

           

What is the interquartile range (IQR) of the data set below?

Answers

Answer:

The Inter Quartile Range is 20.

Step-by-step explanation:

The interquartile range is Q3 - Q1. So first let's find the median (Q2) so we can find Q1 and Q3. Since there is an even amount of numbers, we need to find the average of the middle to numbers. My work is in the attached image.

If this helps, I would appreciate it if you gave me brainliest :)

Answer:

They are right

Step-by-step explanation:

On a trip, a car traveled 80 miles in an hour and a half, then was stopped in traffic for 30 minutes, then traveled 100 miles during the next 2 hours. What was the car's average speed in miles per hour for the 4-hour trip?

Answers

Answer:

45 mph

Step-by-step explanation:

Please Help Me Asap Will Give BRAINLIEST What are the solutions to the system of equations? {y = 1/4x^2 − 2 y = −1/2x} Graph the system of equations to solve. (0, 0) and (−4, 2) (2.9, 0) and (−2.9, 0) (−4, 2) and (2, −1) (0, 0) and (0, −2)

Answers

Answer:

{y = 1/4x^2 − 2 y = −1/2x}

(0,0)

(-6,3)

Step-by-step explanation:

Rewrite as system of equations

y=-1/2x

1/4x^2-2y=-1/2x

Move expression to left and change its sign

y+1/2=0

1/4x^2-2y+1/2x=0

Multiply both sides of equation by 2

2y+x=0

1/4x^2-2y+1/2x=0

Sum the equation vertically and eliminate variable (2y)

3/2x+1/4x^2=0

Solve the equation

x=0

x=-6

Substitute the value of x into equation

y+1/2*0 = 0

y+1/2*(-6) = 0

Solve equation for y

y=0

y=3

so the solution is

(x1,y1)=(0,0)

(x2,y2)=(-6,3)

Finding changed average

Answers

Answer:

15.

Step-by-step explanation:

The new average will be 11 + 4 = 15.

Answer: The overall average will increase by 4 from 11 to 15

Step-by-step explanation: If each of the six integers is increased by four, that will add 6×4 to the total.

The original average was based on six numbers totaling 66, then divided by 6 to get the average, 11.

So add 66 + 24 = 90

Divide 90/6 = 15. The new average.

That is 4 more than the original 11.

what are the four different ways to solve a quadratic equation? When would you prefer to use each method?

Answers

Answer:

1. Factorization method

2. Formula method

3. Completing the square method

4. Graphical method

Step-by-step explanation:

There are four methods of solving quadratic equation:

1. Factorization method

2. Formula method

3. Completing the square method

4. Graphical method

1. Factorization method: Use factorization method when the quadratic equation can easily be factorize.

Example: x^2 - 4x - 12 = 0

(x-2)(x+6)

2. Formula method: This can be used when factoring the quadratic equation looks difficult or you are given instruction to use formula method

3. Completing the square method: Use completing the square method when you are instructed to do so.

4. Graphical method: This method is used when instructed to find x intercept.

Factorization method ,Formula method,Graphical method and completing the square method

IF YOU GET ALL OF THESE CORRECT I WILL MARK YOU BRAINIEST:


-What is an ordered pair?
-What is first in an ordered pair, the x-value or the y-value?
-How do you find the distance between two points in a coordinate plane? -What is the distance between (4,3) and (4, -2)?

Answers

Answer:

1. an ordered pair is a pair or numbers in a specific order. It's a set of points.

2. The x-value is always first in an ordered pair, y-value second

3. The distance between the points is 5 units

Step-by-step explanation:

1. For example, (x,y)

2. no explanation needed

3.You can find the distance of two points by using the distance formula [tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]. To find the distance between (4,3) and (4,-2), we can plug the points into the distance equation. When solved, we get d=5, so the distance between the two points is 5 units.

hope this helps! please give brainliest!!

Answer:

An ordered pair is a pair of values. The order in which the values appear is very important, since (x, y) is a whole different thing from (y, x).

The first in an ordered pair is the x-value, since mathematics usually goes by the order of the alphabet: a before b, and x before y.

The distance between two points in a coordinate plane is [tex]d = \sqrt{(x1 - x2)^2 + (y1 - y2)^2}[/tex], which is the distance formula.

The distance between (4, 3) and (4, -2)...

d = [tex]\sqrt{(4 - 4)^2 + (3 - (-2))^2}[/tex] = [tex]\sqrt{0^2 + 5^2}[/tex] = [tex]\sqrt{5^2}[/tex] = plus or minus 5.

Since distance can't be negative, the distance between the coordinates is 5 units.

Hope this helps!

how to convert 3mm into cm​

Answers

Answer:

0.3 cm

Step-by-step explanation:

1 cm = 10 mm

1) Using proportion:

1 cm ----- 10 mm

x cm -----  3 mm

x = 1 cm * 3 mm/10 mm = 0.3 cm

2) 3 mm * 1cm/10mm = 0.3 cm

Answer:

3mm = 0.3 cm

Step-by-step explanation:

1 cm = 10 mm

3mm = 3/10 = 0.3cm

Function f is given by the table of values shown.
x|0|1|2|3
f(x)|7|0|-5|-8
If function fis reflected across the x-axis to obtain function g, complete the table of values which represents function g.​

Answers

Answer:

x | 0 | 1 | 2 | 3

f(x) | - 7 | 0 | 5 | 8

Step-by-step explanation:

When you reflect a point say across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). Therefore if the function f( x ) is reflected across the x - axis, it's new function would be y = - f( x ). This new function is function g, so you can also say y = - g( x ).

Given the following table ...

x | 0 | 1 | 2 | 3

f(x) | 7 | 0 | - 5 | - 8 ... we can keep the x - values constant, but take the opposite of each y - value, or " f( x ). " Doing so the new table should be the following -

x | 0 | 1 | 2 | 3

f(x) | - 7 | 0 | 5 | 8 ... note that 0 remains constant as you can't take it's opposite, it remains zero. Therefore, the function g is represented by the above table.

The values of g(x) are as follows:

x    | 0 | 1 | 2 | 3

g(x) | -7 | 0 | 5 |  8

What is a Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

As per the given data:

We are given a function f(x) and a table where the values of f(x) at different values of x is given.

The table for the values is as follows:

x    | 0 | 1 | 2 | 3

f(x) | 7 | 0 |-5 | -8

We have to find the values for the function g(x) which is obtained when f(x) is reflected about the x-axis.

When any function is reflected about the x-axis, the values of the y-axis will have their signs changed, i.e. the y-axis values will become -ve if they are positive and +ve if they are -ve.

For g(x):

x    | 0 | 1 | 2 | 3

g(x) | -7 | 0 | 5 |  8

Hence, the values of g(x) are as follows:

x    | 0 | 1 | 2 | 3

g(x) | -7 | 0 | 5 |  8

To learn more about Function, click:

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:o help (08.06 MC)Consider the following dot plot. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?

Answers

Answer:

no

Step-by-step explanation:

the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.

Use the diagram to answer the question. Triangle R S T. Segment R S measures 10 units Segment R T measures 8 units. Angle T is a right angle. What is the measure of ∠R? Enter the correct value rounded to one decimal place, if necessary, like this: 42.5

Answers

Answer:

angle R= 36.869

Step-by-step explanation:

CosR=8/10

cosR=0.8

R= inverse cos (0.8)

R=36.869

The angle R of the triangle RST whose segment RS measures 8 units, angle T is aright angle is 36.87 degrees.

What is a triangle?

It is a three sides figure whose angles form a sum of 180 degrees.

What is line segment?

It is a line which joins two points on a surface.

How to measure an angle?

We know that the sum of angles in a triangle is equal to 180 degrees. We know that the angle RTS is 90 degrees. So firstly we will calculate the angle RST which comes from    sin(α)=8/10

sin(α)=0.8

α= Inverse of sin(0.8)=53.13 degrees

Let the angle TRS is x so,

x+53.13+90=180

x=36.87

Hence the measure of the angle R is 36.87.

Learn more about angles at https://brainly.com/question/25770607

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Which of the following shows 3 + (x + 6y) rewritten using the Associative Property of Addition? 3 + x + 6y 3x + (6 + y) x + (3 + 6y) (3 + x) + 6y

Answers

Answer:

x + (3 + 6y)

Step-by-step explanation:

This shows that you can regroup the numbers however you want with addition and multiplication, so this is the right answer.

Hope this helps!

The answer is x + (3+6y). This is because the associative property of addition is when the parenthesis change its place, however, the value still stays the same. This choice shows that.

Why is the HCF x*2 ? Please explain thanks for number d

Answers

Answer:

x² is HCF (Height common factor)

Step-by-step explanation:

Given:

x² , x³

Find:

HCF (Height common factor)

Computation:

HCF (Height common factor) is uused to find Height common factor from the given numbers.

x² , x³

Takling x² as common

x² (1 , x)

So,

x² is HCF (Height common factor)

What is the value of this expression when g= -3.57
8- 12g-51

Answers

8-(12x-3.57)-51=-0.16

Answer:

-0.16

Step-by-step explanation:

Since it states g is equal to -3.57, we have to plug in -3.57 into the equation wherever it says g.

[tex]8-12(-3.57)-51[/tex]

We can multiply -12 and -3.57 to get 42.84.

[tex]8+42.84-51[/tex]

Now we can add 8 to 42.84 to get 50.84. Then, we subtract 51 from 50.84 to get our answer, -0.16!

nth term of this sequence 1, 10, 19, 28

Answers

Answer:

The nth term of the sequence is

9n - 8

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 1

d = 10 - 1 = 9 or 19 - 10 = 9 or 28 - 19 = 9

So the nth term of the sequence is

A(n) = 1 + (n - 1)9

= 1 + 9n - 9

= 9n - 8

A(n) = 9n - 8

Hope this helps you

Consider the function f(x) = x^2 +2\sqrt{x}. Evaluate 2f(2) - f(8).

Answers

Answer:

-56 + 3 sqrt(2) /2

Step-by-step explanation:

f(x) = x^2 +2/sqrt{x}.

2f(2) - f(8).

First find f(2)

f(2) = 2^2 +2/sqrt{2} = 4 + 2/ sqrt(2)

Then f(8)

f(8) = 8^2 +2/sqrt{8} = 64 + 2 / sqrt(4)sqrt(2) = 64+ 2/2sqrt(2) = 64 + 1/ sqrt(2)

2f(2) - f(8).

2 * (4 + 2/ sqrt(2)) - (64 + 1/ sqrt(2))

8 + 4/ sqrt(2)  - 64 - 1/ sqrt(2)

Combine like terms

-56 +  3 / sqrt(2)

Rationalizing the second term

-56 + 3/ sqrt(2) * sqrt(2)/sqrt(2)

-56 + 3 sqrt(2) /2

HALP PLS 1000 students are arranged in several rows (more than 16). The numbers of students in each row are consecutive positive integers. How many students are there in the first row? (A) 20 (B) 25 (C) 28 (D) 44 (E) 80

Answers

Answer:

The correct option is;

(C) 28

Step-by-step explanation:

The information given are that;

The total number of students = 1000

The number of students in each row are consecutive positive numbers

Let the number of students in the first row be x,

Let the number of rows be 17

We have;

The number of students in  the last row = x + 16

The number of students in  the penultimate row = x + 15, we continue  to get;

n×x + n/2×(n-1) = 1000

(The term n/2×(n-1) is from the sum of an arithmetic progression formula)

Which gives;

17×x + 17/2×16 = 1000

17×x = 1000 - 17/2×16 = 1000 - 136 = 864

x = 864/17 = Which is not an integer,

We continue checking till we get to 25 rows which gives;

25×x + 25/2×24 = 1000

25×x + 300 = 1000

25×x  = 1000 - 300 = 700

x = 700/25 = 28

The number of student in the first row = 28 students.

Which expression can be used to find the surface area of the following square pyramid?

Answers

Answer:

Step-by-step explanation:

The slant height of one side of this pyramid is 5, and the base of this side is 4.  Thus, the area of one slant side is (1/2)(5)(4) = 10 units^2.

There are 4 such sides.  Thus, the total slant surface area is 4(10 units^2), or 40 units^2.  

If you also want to include the base area, the total would be

40 units^2 + 16 units^2 = 56 units^2.

Help ASAP for this question All of the following are equivalent except
0.6 0.06 6% 3/50

Answers

Answer:

0.6

Step-by-step explanation:

0.6 0.06 6% 3/50 are equivalent to

0.6 0.06 6% 6/100.  0.6 is 10 times larger than the other three.

Thus, 0.06 6% 3/50 are equivalent, and 0.6 does not belong to the group.

Please Help I will mark Brainliest or whatever Match each function formula with the corresponding transformation of the parent function y = (x - 1)∧2 1. y = ( x - 1) 2 - 3 Reflected over the y-axis 2. y = - ( x - 1) 2 Translated up by 1 unit 3. y = ( x + 3) 2 Reflected over the x-axis 4. y = ( x - 2) 2 Translated down by 3 units 5. y = ( x + 1) 2 Translated right by 1 unit 6. y = ( x - 1) 2 + 1 Translated left by 4 units

Answers

Answer:

1 -> D

2 -> C

3. -> F

4. -> E

5. -> A

6. -> B

Step-by-step explanation:

Match each function formula with the corresponding transformation of the parent function y = (x - 1)∧2

1. y = ( x - 1) 2 - 3    A. Reflected over the y-axis

2. y = - ( x - 1) 2      B. Translated up by 1 unit

3. y = ( x + 3) 2       C. Reflected over the x-axis

4. y = ( x - 2) 2        D. Translated down by 3 units

5. y = ( x + 1) 2        E. Translated right by 1 unit  

6. y = ( x - 1) 2 + 1    F. Translated left by 4 units

Using the standard transformation rules

f(x) -> a*g(bx-h) + k, we can obtain the following results

Answers:

1 -> D

2 -> C

3. -> F

4. -> E

5. -> A

6. -> B

The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nearest whole number, if necessary.

Answers

Answer:

The rhombus ABCD has an area of 22 square units.

Step-by-step explanation:

The coordinates of rhombus ABCD are shown in the image attached below. The area of the rhombus can be found in terms of their diagonals, which are now calculated by Pythagorean Theorem:

[tex]AC = \sqrt{[6-(-4)]^{2}+[8-(-4)]^{2}}[/tex]

[tex]AC = 15.620[/tex]

[tex]BD = \sqrt{(4-6)^{2}+[0-(-2)]^{2}}[/tex]

[tex]BD \approx 2.828[/tex]

The area of the rhombus is: ([tex]AC = 15.620[/tex] and [tex]BD \approx 2.828[/tex])

[tex]A = \frac{AC\cdot BD}{2}[/tex]

[tex]A = \frac{(15.620)\cdot (2.828)}{2}[/tex]

[tex]A = 22.087[/tex]

The rhombus ABCD has an area of 22 square units.

Answer:

22 units

Step-by-step explanation:

Match each statement (term) with its value in relation to 0 (definition). Match Term Definition

Answers

Answer:

Step-by-step explanation:

a building is 35ft tall=35

the scuba diver was 35ft below sea level=-35

the basement is 7.6ft below ground=-7.6

oliver owes his sister $23=-23

erica jumped 2.3ft above ground=2.3

Answer:

a building is 35ft tall=35

the scuba diver was 35ft below sea level=-35

the basement is 7.6ft below ground=-7.6

oliver owes his sister $23=-23

erica jumped 2.3ft above ground=2.3

Step-by-step explanation:

In triangle ABC angle bisector AE is equal to EC. Given AC=2·AB, find m∠ABC, in degrees.

Answers

Answer:

  m∠ABC = 90°

Step-by-step explanation:

Given that AE = EC, triangle AEC is isosceles. Then the altitude from E to AC at D will be the perpendicular bisector of AC.

We know that AC = 2·AB, so AD = AC/2 = AB. Now, we can show triangles AED and AEB are congruent by SAS, so ...

  m∠ABC = m∠ADC = 90°

The questions no l and p.
please help me as soon as possible!!!!!​

Answers

Answer:

l = 2cosΘ p = see attachment

Step-by-step explanation:

√2+√2+2cos 4Θ

√2+√2(1 + cos 4Θ)

√2 + √2(2 cos² 2Θ)

√2 + √4 cos² 2Θ                      cos 2Θ = 2 cos²Θ - 1

√2 + 2cos 2Θ

√2(1 + cos 2Θ)

√4cos²Θ

2cosΘ

Answer:

Step-by-step explanation:

I'm only going to do the first one, because the tangent problem is going to give us both night mares.

Start with cos(4*theta), There are various places on the internet which solves this, so I won't bother. Basically it comes down to using cos(2*theta).

cos(4theta) = 8*cos^4(theta) - 8*cos^2 (theta) + 1

2*cos(4*theta) = 16*cos^4(theta) - 16cos^2(theta) + 2

2 + 2cos(4*theta) = 16cos^4(theta) - 16cos^2(theta) + 4

(2 + 2cos(4*theta) = (4 cos^2(theta) - 2 )^2

sqrt(2 + 2cos(4theta) = 4cos^2(theta) - 2

=====================================

sqrt(2 + 4cos^2(theta) -2 ) = sqrt( 4 cos^2(theta) = 2 cos(theta) = RHS

Other Questions
Jackpot Mining Company operates a copper mine in central Montana. The company paid $1,150,000 in 2021 for the mining site and spent an additional $630,000 to prepare the mine for extraction of the copper. After the copper is extracted in approximately four years, the company is required to restore the land to its original condition, including repaving of roads and replacing a greenbelt. The company has provided the following three cash flow possibilities for the restoration costs: (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) Cash flow Probability1 $330,000 25%2 430,000 40%3 630,000 35%To aid extraction, Jackpot purchased some new equipment on July 1, 2021, for $150,000. After the copper is removed from this mine, the equipment will be sold. The credit-adjusted, risk-free rate of interest is 10%. Required: a. Determine the cost of the copper mine. b. Prepare the journal entries to record the acquisition costs. Identify the algebraic series. A) 10, 23, 36...... B) 4 + 8 + 16 +...... C) 100, 90, 81,...... D) 84 + 73 + 62 +....... A centrifugal pump is operating at a flow rate of 1 m3/s and a head of 20 m. If the specific weight of water is 9800 N/m3 and the pump efficiency is 85%, the power required by the pump is most nearly: 1 - Fill the space blanksIf we make a sequence selecting three elements from three different elements{1, 2, 3} and we permit overlapped elements for the sequence, then the totalnumber of sequences is [ ] . If we do not take into account the order, the totalnumber of the selections is [ ] .I'm totally lost in this, what is overlapped elements? This is about what math content? And what is the answer? Please i need help. APPLYING VAN IDEASRussia surrendered Poland with thea Treaty of Brest-Litovsk.b. Treaty of the Vare.c. Treaty of Paris.d. Treaty of Versailles. Evaluate the following: 3 (2). (5 points) a. -5 B. -1 c. 1 d. -6 Please help.. tysm if you do Tara has had many negative experiences over which she had little control. At this point, Tara has given up trying to make her life better because she believes she can do nothing to change her life for the better. Taras negative attitude may lead her to develop: Bermuda Triangle Corporation (BTC) currently has 390,000 shares of stock outstanding that sell for $102 per share. Assume no market imperfections or tax effects exist. Determine the share price and new number of shares outstanding if: (Do not round intermediate calculations. Round your price per share answers to 2 decimal places, e.g., 32.16, and shares outstanding answers to the nearest whole number, e.g., 32.) a. BTC has a five-for-three stock split. b. BTC has a 10 percent stock dividend. c. BTC has a 37.0 percent stock dividend. d. BTC has a four-for-seven reverse stock split. 1. Select the correct statement regarding relevant costs and revenues. A. Sunk costs are relevant for decision-making purposes. B. Relevant costs are frequently called unavoidable costs. C. Direct labor is an example of a unit-level cost. D. Only variable costs are relevant for decision making.2. Expected future revenues that differ among the alternatives under consideration are often referred to as:_______.A. Alternative revenues.B. Preferential revenues.C. Relative revenues.D. Differential revenues.3. The benefits sacrificed when one alternative is chosen over another are referred to as:______.A. Avoidable costs.B. Opportunity costs.C. Sacrificial costs.D. Beneficial costs. Write a single scene that uses rich descriptions to build suspense. Use vivid imagery that conveys elements of the supernatural in order to present a single, suspenseful moment to your readers. How many even 3 digit positive integers can be written using the numbers 3,4,5,6,and 7? Spacefood Products will pay a dividend of $ 2.40 per share this year. It is expected that this dividend will grow by 6% per year each year in the future. What will be the current value of a single share of Spacefood's stock if the firm's equity cost of capital is 13%? The following passage is Article 6 of the Declaration of the Rights of Man, approved by the National Assembly of France, August 26, 1789. Use the passage to answer the following question: Liberty consists in the freedom to do everything which injures no one else; hence the exercise of the natural rights of each man has no limits except those which assure to the other members of the society the enjoyment of the same rights. These limits can only be determined by law. How would English Enlightenment philosopher John Locke feel about the article? (5 points) He would disapprove of it because it calls for limited individual freedom. He would disapprove of it because it implies that humans are naturally bad. He would approve of it because it appeals to the idea of natural law. He would approve of it because it proves the theory of the social contract. Need Assistance*Please Show Work* 5. Read the outline.What type of problem-and-solution organization does this outline use?1. The overall problem: Company must decide if installing permanentcatwalks is more cost effective than using temporary scaffolding,II. Three options available:A. Continue to rent temporary scaffolding and have it installed by contractorsB. Purchase scaffolding and have it installed by company employeesC. Have permanent catwalks designed and installedIII. Conclusion: Permanent catwalks are best ideaproblem/solution/solution/recommendationproblem/cause/solution Which methods can be used to run a query? Check all that applyOn the Create tab, in the Queries group, click Run.In query Design view, on the Design tab, click RunSwitch to Datasheet view before any other commandsClose the Show Table dialog box in the Datasheet viewOn the Create tab, in the Queries group, click Create Query Net capital outflow and net exports An open economy interacts with the rest of the world through its involvement in world markets for goods and services and world financial markets. Although it can often result in an imbalance in these markets, the following identity must remain true: In other words, If a transaction directly affects the left side of this equation, then It must also affect the right side. The following problem will help you understand why this Identity must hold. Suppose you are a fashion designer Living In the United States, and a trendy boutique in Bangkok just purchased your entire inventory for THB 80,000. Determine the effects of this transaction on exports, imports, and net exports in the U.S. economy, and enter your results in the following table. If the direction of change is 'No change,'' enter ''0'' in the Magnitude of Change column. Hint: The magnitude of change should always be positive, regardless of the direction of change. Because of the identity equation that relates)_________ to net exports, the in U.S. net exports Is matched by _________in U.S. net capital outflow. Which of the following Is an example of how the United States might be affected in this scenario?a. You store the Thai baht in your safety deposit box at home. b. You purchase THB 48,000 worth of stock in a Thai corporation and THB 32,000 worth of Thai bonds. c. You exchange the THB 80,000 for dollars at your local bank, which then uses the foreign currency to purchase stock in a Thai corporation. What is the value of 13 squared? The energy transfer diagram represents the energy of a person diving into a pool. A wide arrow labeled gravitational potential energy 8000 J with a small arrow turning away from it labeled thermal energy ? J. The rest of the arrow goes forward labeled kinetic energy 7000 J. How much thermal energy is generated? 1000 J 2000 J 7000 J 15,000 J