In the given figure if p||q what is the value of b?​

In The Given Figure If P||q What Is The Value Of B?

Answers

Answer 1

Answer:

120°

Step-by-step explanation:

We can see that b=a by opposite exteriors.

So a+1/2a=180

1.5a=180

a=180/1.5=120

And since b and a are equal, b also equals 120°


Related Questions

Write a verbal expression for each algebraic expression. 1. ²⁄₄ w to the 4th power 2. ˣ⁄₉ 3. ⅗ (3 - x))

Answers

Answer:

see below

Step-by-step explanation:

1) (2/4w)⁴

The product of two over four and w, to the fourth power.

2) x/9

The quotient of x and 9.

3) 3/5 (3 - x)

The product of three over five and the difference of 3 and x.

Answer:

See below

Step-by-step explanation:

1) The quotient of 2 and four times w to the 4th power

2) The quotient of x and 9

3) The quotient of 3 and 5 multiplied with the difference of 3 and x.

I NEED HELP!! which expression is the radical form of x - 9/8

Answers

Answer:

Step-by-step explanation:

Please use " ^ " to indicate exponentiation.

Your "x - 9/8" should be     x ^(-9/8).

The 8 represents "the eighth root" of x, and the -9 represents the power to which x is to be raised.  Finally, the " - " sign shows that this 9th power is in the denominator.

x ^(-9/8)     in radical form is     ----------------

[tex]1 divided by \sqrt[8]{x^9\\} \\[/tex]

Which of the following expressions demonstrates the distributive property?
3 + 4 + 5 = 4 + 3 + 5
-2(5 + 7) = -2(7 + 5)
O 3(-8 + 1) = 3(-8) + 3(1)
6[(7)(-2)] = [(6)(7)](-2)

Answers

Answer:

3(-8 + 1) = 3(-8) + 3(1)

Step-by-step explanation:

The distributive property is quite literally when you distribute numbers. This is the only instance of that happening here

The first two are the communitive property of addition, and the last one is the communitive property of multiplication.

Cheers.

Answer:

c

Step-by-step explanation:

is 1 whole 1 by 3 considered as an integer??

Answers

Answer:

No it's not.

Step-by-step explanation:

[tex]1 \frac{1}{3} = \frac{4}{3} = 1.333333[/tex]

Integers are set of numbers consisting

Whole numberNatural numberNegative numbers

It doesn't consist

Fractions &Decimals

Hope this helps ;) ❤❤❤

Answer:

[tex]\boxed{\sf No}[/tex]

Step-by-step explanation:

[tex]\displaystyle 1 \frac{1}{3} =1.3333333...[/tex]

Integers are whole numbers that can be positive or negative. Integers do not include fractions and decimals.

un automóvil recorre 90 km con 2 galones de gasolina cuantos kilómetros recorre con 11 galones de gasolina y cuantos galones de gasolina necesita para recorrer 650 km

Answers

Answer:

Recorrera 495 km con 11 galones de gasolina

Y necesitara 14.44 galones para recorrer 650 km

Step-by-step explanation:

k          g                                                                  k             g

90         2                                                                 90           2

x            11                                                                650         x

=(11 x 90)/2                                                              =(650x2)/90

=990/2                                                                    =1300/90

=495 km                                                                 =14.44

Flaming BBQ restaurant makes a dipping sauce with 9 mL of hot sauce for every 6 ounces of barbecue sauce. Which of the following mixtures will taste the same as flaming BBQ's dipping sauce?
Choose 3 answers:
A. 6 mL of hot sauce mixed with 20 oz of barbecue sauce
B. 3 mL of hot sauce mixed with 2 oz of barbecue sauce
C. 45 mL of hot sauce mixed with 30 oz of barbecue sauce
D. 24 mL of hot sauce mixed with 18 oz of barbecue sauce
E. 12 mL of hot sauce mixed with 8 oz of barbecue sauce

pls help me ;-;​

Answers

Answer:

B, C , and E

Step-by-step explanation:

for 9 ml of hot sauce (x) +6 ounces of BBQ sauce(y)= flaming BBQ(c)

9x+6y=c

B: 3x+2y will give the same taste ( the quantity reduced to one third)

C: 45x+30y will give the same taste ( the quantity multiply by 5)

E:12 x+8y will give the same taste ( the quantity multiplied by 0.75)

Which point would be a solution to the system of linear inequalities shown below? {see image for inequalities}

(-10, -2)
(−5,2)
(10,7)
(10,−2)

Answers

Answer:

(10, -2)

Step-by-step explanation:

The inequalities are:

y < x - 7               (1)

y < (1/5)x - 2        (2)

To solve this problem, we have to solve both equations simultaneously and then find the value of x and y that makes the inequality true.

To solve the inequality, subtract inequality (2) from inequality (1) which gives:

0 < (4/5) x - 5

-(4/5)x < -5

Dividing both sides of the equation by -4/5 gives:

-(4/5)x / (-4/5) < -5/ (-4/5)

x > 6.25

Put x > 6.2 in inequality 1

y < 6.25 - 7

y < -0.75

The solution of the inequality is x > 6.25 and y < -0.75

From the list of option, the correct answer is (10, -2) since 10 > 6.25 and -2 < -0.75

Which function has a range of y < 3? y=3(2)x y = 3(3)x y = -(2)x+ 3 y = (2)x-3

Answers

Answer:

Third option is the correct answer

[tex]y = -(2)x+ 3[/tex]

Step-by-step explanation:

Given functions are:

[tex]y=3(2)x\\ y = 3(3)x\\ y = -(2)x+ 3\\ y = (2)x-3[/tex]

To find:

The function which has a range [tex]y <3[/tex] ?

Solution:

First of all, let us learn about the terms Domain and Range for a function:

[tex]y = f(x)[/tex]

Domain is the value of [tex]x[/tex] which is given as input to the function and gives a valid value of output as [tex]y[/tex] (i.e. function is defined).

Range of a function is the value [tex]y[/tex] that comes as output when given a valid value of [tex]x[/tex] as input.

Now, let us consider the given options above.

Third option is the correct answer.

[tex]y = -(2)x+ 3[/tex]

As we can see, [tex](2)x[/tex] is subtracted from 3 so [tex]y[/tex] will have a value which is lesser than 3.

i.e. range will be [tex]y <3[/tex].

No other function has such condition present in it.

[tex]y = -(2)x+ 3[/tex] is the correct answer.

Line R: 2x + 2y = 18 Line M: x + y = 9 Which statement is true about the solution to the set of equations?

Answers

Answer:

Step-by-step explanation:

2x + 2y = 18

-2x -2y = -18

0 = 0

infinite solution of equations

which ordered pair isa solution of the equation y=8x+3 A.Only (1,11) B.Only (-1,-5) C.Only (1,11) and (-1,-5) D Neither

Answers

Answer:

C (1,11) and (-1,-5)

Step-by-step explanation:

-5/6 + 1 2/9
Can some one help me out?

Answers

Answer:

[tex]2 \frac{4}{9} [/tex]

[tex] = \frac{ - 5}{6} + 1 \frac{2}{9} [/tex]

[tex] = \frac{ - 5}{6} + \frac{11}{9} [/tex]

[tex] = \frac{ - 5 \times 2 + 11 \times 1}{9} [/tex]

[tex] = \frac{ - 10 + 9}{9} [/tex]

[tex] = \frac{-1}{9} [/tex]

Una profesora compra 28 manzanas para compartir con sus estudiantes; al día siguiente revisa la cesta con las frutas y ve que se le han dañado 2/7 del total de manzanas que había comprado. Para reponer las frutas dañadas ella debe comprar

Answers

Answer:

La profesora debe comprar 8 manzanas para reponer la cesta de frutas.

Step-by-step explanation:

La profesora debe reponer la cesta de frutas por la cantidad de manzanas que se encuentran dañadas. La cantidad de manzanas dañadas es igual a las dos séptimas partes del total de manzanas. Es decir:

[tex]x = \frac{2}{7} \times (28\,manzanas)[/tex]

[tex]x = \frac{56\,manzanas}{7}[/tex]

[tex]x = 8\,manzanas[/tex]

La profesora debe comprar 8 manzanas para reponer la cesta de frutas.

Given \qquad m \angle LONm∠LONm, angle, L, O, N is a straight angle. \qquad m \angle MON = 8x - 13^\circm∠MON=8x−13 ∘ m, angle, M, O, N, equals, 8, x, minus, 13, degrees \qquad m \angle LOM = 7x - 17^\circm∠LOM=7x−17 ∘ m, angle, L, O, M, equals, 7, x, minus, 17, degrees Find m\angle MONm∠MONm, angle, M, O, N:

Answers

Answer:

[tex] \boxed{99°}[/tex]

Step-by-step explanation:

m<MON = 8x - 13°

m<LOM = 7x - 17°

To find : m <MON

First, we have to find the value of x :

Create an equation

[tex] \mathrm{8x - 13 + 7x - 17 = 180}[/tex] ( sum of angle in straight line )

Collect like terms

[tex] \mathrm{15x - 13 - 17 = 180}[/tex]

Calculate

[tex] \mathrm{15x - 30 = 180}[/tex]

Move constant to R.H.S and change its sign

[tex] \mathrm{15x = 180 + 30}[/tex]

Calculate the sum

[tex] \mathrm{15x = 210}[/tex]

Divide both sides of the equation by 15

[tex] \mathrm{ \frac{15x}{15} = \frac{210}{15} }[/tex]

Calculate

[tex] \mathrm{x = 14}[/tex]

Now, let's find the value of m<MON

[tex] \mathrm{8x - 13}[/tex]

Plug the value of x

[tex] \mathrm{ = 8 \times 14 - 13}[/tex]

Calculate the product

[tex] \mathrm{ = 112 - 13}[/tex]

Calculate the difference

[tex] \mathrm{ = 99}[/tex] °

Hope I helped!

Best regards!

Answer:

48

Step-by-step explanation:

because i say so

Duane is making a casserole for dinner. He has been cooking the casserole for 48 minutes. The casserole
needs to cook for 47 more minutes.
How many minutes does the casserole cook in total?

Answers

Answer:

95 minutes

Step-by-step explanation:

Add together how long it has been cooking plus how long it needs to cook

48+47 = 95

95 minutes

Answer:

155

Step-by-step explanation:

Add 60 and 48 to get 108 then add 108 and 47 to get 155

Ahmad the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were clients 3 who did Plan A and 2 who did Plan B. On Tuesday there were 5 clients who did Plan A and 6 who did Plan B. Ahmad trained his Monday clients for a total of 3 hours and his Tuesday clients for a total of 7 hours. How long does each of the workout plans last? please help

Answers

Answer:

Plan A last for 30 minutes

Plan B last for 45 minutes

Step-by-step explanation:

There are two plans:

Plan A

Plan B

Monday

Plan A=3 clients

Plan B=2 clients

Total hours=3

Tuesday

Plan A=5 clients

Plan B=6 clients

Total hours=7

The equation for the unknown

3A + 2B=3 (1)

5A + 6B=7 (2)

Multiply (1) by 3 and (2) by (1)

9A + 6B=9 (3)

5A + 6B=7 (4)

Subtract (4) from (3)

4A=2

Divide both sides by 4

4A/4 = 2/4

A=1/2 hours

Substitute A=1/2 into (1)

3A + 2B=3

3(1/2) +2B=3

3/2 + 2B=3

2B= 3 - 3/2

2B= 6-3/2

2B=3/2

Divide both sides by 2

B=3/2÷2

=3/2×1/2

B=3/4 hours

A=1/2 hours

B=3/4 hours

60 minutes=1 hour

A=1/2 hours

1/2 × 60 minutes

=60/2

=30 minutes

B=3/4 hours

=3/4×60 minutes

=180/4

=45 minutes

Plan A last for 30 minutes

Plan B last for 45 minutes

maggie’s brother is 3 years younger than twice her age. The sum of their age is 24. How old is Maggie

Answers

Answer:

I HOPE IT WILL WORK

Step-by-step explanation:

let age of Maggie =x years

as given that Maggie brother is 3 year less than twice of her age

hence

brother = (2x-3) years

also given that sum of ages =24

hence

x+(2x-3)=24

3 x-3=24

3 x=27

x=9 years Maggie

so his brother=9-3=6 years

pls hit the star and brainlist it if you found it helpfull thanks

50 points! I would appreciate an explanation, I actually want to know how to do this. Thanks! :P

Answers

Answer:

1.

(a) The Domain is the set of inputs of the function.

Considering that the function takes a period of 3 weeks (21 days), the domain is [0, 21], once we can't evaluate what happens after the 21st day.

[tex]\text{Domain is } [0, 21][/tex]

Otherwise, it could be [tex][0, \infty)[/tex]

Note: We include 0 and 21.

Once the greatest balance was $400, it will not exceed $400, either it doesn't show negative values.

[tex]\text{Range is } [0, 400][/tex]    

Note: We include 0 and 400.

(b)

Once the greatest balance was $400, when x=0, it seems that the y-value is half of $400, therefore, approximately $200. It also represents the initial value, the amount of money when she opened the account.

(c)

[tex]f(x)=B(d)[/tex]

[tex]B(12)=0[/tex]

(d)

It is in segment 4.

The balance equal to zero means that the y-value of the graph is zero, therefore in the x-axis.

Which expression, in exponential form, is equivalent to 26x3y 47z5r3 A) ( 26x3y 47z5r3 )2 B) (26xy) 1 2 (47zr) 1 2 C) 26 1 2 x 3 2 y 1 2 47 1 2 z 5 2 r 3 2 D) 26x 3 2 y 1 2 47z 5 2 r 3 2

Answers

Answer:

The answer is "all the choices were wrong"

Step-by-step explanation:

Given value:

[tex]\bold{26x^3y 47z^5r^3}[/tex]

In the given question all the choices were wrong because it is not equivalent to given equation:

In choice A) [tex]( 26x^3y 47z^5r^3 )^2[/tex] in the value is whole squared, that's why it is wrong.

In choice B) [tex](26xy)^{12} (47zr)^{12}[/tex] when we open its value it will give different values, that's why it is wrong.

In option C and D( [tex]26^{12} x^{32} y^{12} 47^{12} z^{52} r^{32}[/tex] and [tex]26x^{32} y^{12}47z^{52} r^{32}[/tex]) both values will give different values.  

Answer:

it's C

Step-by-step explanation:

I just did it

How to do this question plz answer me step by step plzz plz ​

Answers

Answer:

24.99 cm

Step-by-step explanation:

We are provided with the radius of the circle so we can use that to solve for the circumference(perimeter) of the circle. The formula to solve for the circumference is 2*pi*r.

2*pi*7 = 14pi = 43.98 cm

Although this is the circumference of the entire circle... To solve for the circumference of a quarter-circle we must find the quarter of that:

43.98 * 1/4 = 10.99 cm

We are already provided with the other two sides, which are both equal to 7 cm since they are radii.

Perimeter = 10.99 +7 + 7 = 24.99 cm

Hope this helps!

Manipulate the radius and height of the cone, setting different values for each. Record the radius, height, and exact volume of the cone (in terms of π). The first one has been done for you. Also calculate the decimal value of the volume, and verify that it matches the volume displayed by the tool. (You might see some discrepancies in the tool due to rounding of decimals.)

Answers

Answer:

The decimal value of the volume already given= 1885.2 unit³

For radius 11 unit height 12 unit

Volume= 484π unit³

Volume= 1520.73 unit ³

For radius 4 unit height 6 unit

Volume= 32π unit³

Volume= 100.544 unit³

For radius 20 unit height 15 unit

Volume= 2000π unit³

Volume= 6284 unit³

Step-by-step explanation:

The decimal value of the volume already given= 600π

The decimal value of the volume already given= 600*3.142

The decimal value of the volume already given= 1885.2 unit³

For radius 11 unit height 12 unit

Volume= πr²h/3

Volume= 11²*12/3 *π

Volume= 484π unit³

Volume= 1520.73 unit ³

For radius 4 unit height 6 unit

Volume = πr²h/3

Volume= 4²*6/3(π)

Volume= 32π unit³

Volume= 100.544 unit³

For radius 20 unit height 15 unit

Volume= πr²h/3

Volume= 20²*15/3(π)

Volume= 2000π unit³

Volume= 6284 unit³

Here's the right answer.

two years ago a woman wad 7 times as old as her daughter, but in 3 years time she would be x times as old as the girl. how old are they now?

Answers

Answer:

The present age of the woman is 37 years and her daughter is 7 years

Step-by-step explanation:

two years ago a woman was 7 times old as her daughter, but in 3 years time she would be 4 times old as the girl. how old are they now

Two years ago a woman wad 7 times as old as her daughter

Let her daughter=x-2

The woman=y-2

x-2

7(y-2)=7y-14

x-2=7y-14

x-7y=-14+2

x-7y= -12 (1)

but in 3 years time she would be 4 times as old as the girl.

x+3

y+3

x+3

4(y+3)=4y+12

x+3=4y+12

x-4y=12-3

x-4y=9. (2)

x-7y= -12 (1)

x-4y=9. (2)

Subtract (1) from (2)

4y-(-7y)=9-(-12)

-4y+7y=9+12

3y=21

y=21/3

y=7

Substitute

y=7 into (1)

x-7y= -12

x-7(7)=-12

x-49=-12

x= -12+49

=37

The present age of the woman is 37 years and her daughter is 7 years

What is 10+x-15-3x please

Answers

Answer:

-2x-5

Step-by-step explanation:

10+x-15-3x

Combine like terms

10-15   +x-3x

-5 -2x

We normally put the variable first

-2x-5

Write and solve an inequality for x.
I will give BRAINLIEST TO ANYONE WHO ANSWERS CORRECTLY!

Answers

Answer:

A

Step-by-step explanation:

So, we are given a right triangle and we know that 2x+4 is the length of the hypotenuse and 8 is the length of one of the sides.

Remember that the hypotenuse in a right triangle will always always be the longest side. Therefore, we can write the following inequality:

[tex]2x+4>8\\2x>4\\x>2[/tex]

The answer is A.

Answer:x>2

Step-by-step explanation:

2x+4>8

2x>8-4

2x>4

x>4/2

x>2

4.257 inches rounded to the nearest tenth is

Answers

[tex]4.257\approx4.3[/tex]

[tex]\text{Round to the nearest tenths place}\\\\4.257\\\\\text{"2" would be the number in the tenth place}\\\\\text{We would need to round up if the number to the right of the number is}\\\text{5 or greater}\\\\\text{In this case, the next number "5", so we would round up}\\\\\text{Therefore, your answer should be:}\\\\\boxed{4.3\,\, in}[/tex]

∠4 and ∠6 can be classified as:

Answers

Answer:

same side interior angles

Step-by-step explanation:

<4 and <6 are same side interior angles

Same  side interior angles are on the same side of the transversal and inbetween the two lines

How do I solve this?​

Answers

Answer:

[tex]\Large \boxed{- \frac{1}{5}}[/tex]

Step-by-step explanation:

[tex]\displaystyle \sqrt[3]{-\frac{1}{125} }[/tex]

Distribute the cube root to the numerator and denominator.

[tex]\displaystyle -\frac{\sqrt[3]{1} }{\sqrt[3]{125} }[/tex]

Solve for the cube root.

[tex]\displaystyle - \frac{1}{5}[/tex]

Mildred’s salary has increased from £24,600 to £25,338. By what percentage has her salary increase?

Answers

Answer:

The answer is 3%

Step-by-step explanation:

To find the percentage increase we use the formula

[tex]Percentage \: change = \frac{ change}{original \: quantity} \times 100[/tex]

To find the change subtract the smaller quantity from the bigger one

From the question

original price = $24,600

Current price = $ 25,338

Change = $25,338 - $ 24,600

Change = $ 738

So the percentage increase is

[tex] \frac{738}{24600} \times 100[/tex]

[tex] = \frac{3}{100} \times 100[/tex]

We have the final answer as

Percentage increase = 3%

Hope this helps you

A radioactive substance decays exponentially. A scientist begins with 350 milligrams of a radioactive substance. After 14 hours, 175 mg of the substance remains. How many milligrams will remain after 20 hours

Answers

Answer:

N(t)=N∗.5t/h where n(t) is amount of substance left, N = initial amount, t = current time, and h = half-life time.h = 24 hours t= 45 hours, N = 130mg

therefore, N(t)=130∗.545/24=35.44mg

Step-by-step explanation:

N(t)=N∗.5t/h where n(t) is amount of substance left, N = initial amount, t = current time, and h = half-life time.h = 24 hours t= 45 hours, N = 130mg

therefore, N(t)=130∗.545/24=35.44mg

Answer:

≈ 130 mg

Step-by-step explanation:

This is about the half-life of the substance.

There is a formula for this kind of calculations:

N(t)= N₀*(0.5)^(t/T), where

N(t) = substance left after time period of t,t = time passed,N₀ = initial amount of the substance,T = hal-life time of the given substance.

In our case, we have:

N₀ = 350 mg,t= 20 hours,T = 14 hours  as half of substance decays during this time period,

And the calculation:

N(20)= 350*(0.5)^(20/14)N(20) ≈ 130 mg

Answer: about 130 mg of substance remains after 20 hours

Based on the table, which best predicts the end
behavior of the graph of f(x)?

Answers

Answer:

approaching negative infinity

Step-by-step explanation:

Since as x increases, the values of f(x) are approaching infinity, the function approaches negative infinity as the end behavior.

Answer:

Below.

Step-step-explanation:

As x increases from negative infinity f(x) decreases in value .

As x increases to positive infinity f(x) decreases in value.

For values of x  on the negative side  the graph rises  to the left and on the positive x -axis it falls to the right.

A caterer needs to know the volume of the remaining cake to determine how many servings she has. What is the volume of the remaining cake?

Answers

Answer: D. 288 in^3

Explanation:

To find volume of the remaining shape:

V (remaining) = V (original shape) - V (taken)

Find Volume of the original shape:

V(original) = 16 x 6 x 4 = 384 in^3

Find the volume of the taken shape:

V(taken) = 8 x 4 x 3 = 96 in^3

Find the volume of the remaining shape:

V (remaining) = 384 - 96 = 288in^3



Step-by-step explanation:

Hello, there!!!

Let's simply work with it,

Firslty let's assume the whole cake, when you assume the cake in whole. you get,

length (l)= 16 in

breadth (d)= 6 in

and height (h)= 4 in

now, as it is a rectangle shaped cake,

volume of a whole cake (v)= l×b×h

or, v= 16 in × 6 in × 4 in.

Therefore, the volume of whole cake is 384 cubic inch.

now,

let's find the volume of eaten part,

As per the picture, the 1/4th part of cake is eaten so,

length = 8 in

breadth = 3in

and height = 4in.

so, volume of eaten part = l × b × h

v= 8in × 3in × 4in

Therefore , v= 96 cubic inch.

now, lastly finding the volume of remaining part,

v. of remaining part = v.of whole cake - v. of eaten part.

or, v. of remaining part = 384 in^3 - 96 in^3

Therefore, the volume of remaining part is 288in^3.

Hope it helps....

Other Questions
Three grams of musk oil are required for each bottle of Mink Caress, a very popular perfume made by a small company in western Siberia. The cost of the musk oil is $2.20 per gram. Budgeted production of Mink Caress is given below by quarters for Year 2 and for the first quarter of Year 3:Budget Production, in bottlesYear 2:First 72,000Second 102,000Third 162,000Fourth: 112,000Year 3:First 82,000Musk oil has become so popular as a perfume ingredient that it has become necessary to carry large inventories as a precaution against stock-outs. For this reason, the inventory of musk oil at the end of a quarter must be equal to 20% of the following quarters production needs. Some 43,200 grams of musk oil will be on hand to start the first quarter of Year 2.Required: Prepare a direct materials budget for musk oil, by quarter and in total, for Year 2. (Round "Unit cost of raw materials" answers to 2 decimal places.) 50.For the direct variation such that when y = 2 then x = 3, find the constant of variation ( k ) and then find the value of y when x = 0.5. 3. Solve 6 + 5 2 4 9 2 x = 7 Which was a result of the US occupation of Japan after world war 2 write a thirdthird-degree polynomial expression that has only two terms with a leading term that has a coefficient of five and a constant of negative two Urgent!!! Please simplify Which of the following is a major agricultural export of East Africa?Question 2 options:corncocoacoffeesugar cane Derrick Iverson is a divisional manager for Holston Company. His annual pay raises are largely determined by his divisions return on investment (ROI), which has been above 20% each of the last three years. Derrick is considering a capital budgeting project that would require a $3,080,000 investment in equipment with a useful life of five years and no salvage value. Holston Companys discount rate is 17%. The project would provide net operating income each year for five years as follows:Sales $3,400,000Variable expenses 1,450,000Contribution margin 1,950,000Fixed expenses: Advertising, salaries, and other fixedout-of-pocket costs $670,000 Depreciation 828,000 Total fixed expenses 1,498,000Net operating income $452,000Required:a. Compute the project's net present value.b. Compute the project's simple rate of return.c. Would the company want Derrick to pursue this investment opportunity?d. Would Derrick be inclined to pursue this investment opportunity? Cullumber Company incurs these expenditures in purchasing a truck: cash price $26,070, accident insurance (during use) $1,780, sales taxes $1,550, motor vehicle license $320, and painting and lettering $2,050.Required:What is the cost of the truck? PLEASE HELP ME OUT!!How did Cold War tensions between the United States and the Soviet Unioncontribute to the escalation of the Cuban Missile Crisis?A. They forced members of the Non-Aligned Movement to negotiatea resolution to the crisis.B. They convinced U.S. leaders that only a military strike againstCuba could end the crisis.C. They made it difficult for either country to agree to a compromisesolution to the crisis.D. They prevented either side from communicating with the otherthroughout the crisis. Krishna and Seldon now try a homework problem. A policeman sitting in his unmarked police car sees an approaching motorcyclist go through a red light two blocks away. He turns on his siren at a frequency of 1000 Hz as the motorcyclist heads directly toward him at 61 mph (27.27 m/s). What frequency does the motorcyclist hear? (Enter your answer to at least the nearest integer. Assume the speed of sound in air is 331 m/s.) Hz What frequency does the motorcyclist hear when stopped with the police car approaching at 61 mph (27.27 m/s)? (Enter your answer to at least the nearest integer. Assume the speed of sound in air is 331 m/s.) Hz The Greek government decides to introduce new austerity measures, which reduce government direct spending by $16 billion. Greece has a marginal propensity to consume of 0.6. What will be the final change in real GDP as a result of this decreased spending? Please give your answer as a whole number in billions of dollars. 16.72911 liters rounded to the nearest whole isliters 5. Eight adults and six children travel in a cable car.Estimate the total mass of the people in the cable car. 1. Hypothesis Test. Gender bias researchers compared the promotion rate of 412 women in manufacturing management positions to the national average which was known to be 75 months for a mostly male population. They measured the number of months each woman worked in middle management. Given a 0.01 level of significance, the correct statistical conclusion is to reject the null.A. TrueB. False2. Hypothesis Test. Gender bias researchers compared the promotion rate of 412 women in manufacturing management positions to the national average which was known to be 75 months for a mostly male population. They measured the number of months each woman worked in middle management before being promoted to senior management, and found an average 79 months (s.d. = 19). Researchers want to know if women are promoted more slowly (i.e. after a larger number of months). What is the correct research conclusion? A. Evidence suggests there is no difference in promotion rates. B. Evidence suggests a small difference in promotion rates favoring males. C. Evidence suggests a large difference in promotion rates favoring males. D. No way to tell. Please answer answer question a uniform rod of length 1.5m is placed over a wedge at 0.5m from one end .a force of 100 N is applied at its one end near the wedge to keep it horizontal .find weight of rod and reaction of wedge Conclusions and recommendations are the most widely read sections of any report. Conclusions summarize a nd explain your findings and are the heart of your report. The ability to draw sound conclusions and make clear recommendations from your research is crucial to business success.When drawing conclusions, make sure you________. Consider the scenario:You are making recommendations after researching and writing a report on employee vacation time and job satisfaction. What writing tips should you keep in mind when writing your recommendations? A. Your recommendations should always be the result of prior logical analysis. B. Your recommendations should never be in the form of a command. C. You can combine recommendations and conclusions. D. You should use words such as maybe and perhaps. E. You can omit conclusions and move straight to recommendations in short reports. why is it so important study history Two objects, one of mass m and the other of mass 2m, are dropped from the top of a building. When they hit the ground:_______.a) the heavier one will have four times the kinetic energy of the lighter one. b) the heavier one will have twice the kinetic energy of the lighter one. c) the heavier one will have times the kinetic energy of the lighter one. d) both of them will have the same kinetic energy.