A toy box in the shape of a rectangular prism has a volume of 6,912 cubic inches. The base area of the toy box is 288 square inches. What is the height of the toy box?

Answers

Answer 1

Answer:

h= 24 inches

Step-by-step explanation:

(Volume)= (Base Area) * (Height)

6,912= 288h

h=


Related Questions

In the SuperLottery, three balls are drawn (at random) from ten white balls numbered from $1$ to $10$, and one SuperBall is drawn (at random) from ten red balls numbered from $11$ to $20$. When you buy a ticket, you choose three numbers from $1$ to $10,$ and one number from $11$ to $20$. If the numbers on your ticket match at least two of the white balls or match the red SuperBall, then you win a super prize. What is the probability that you win a super prize?

Answers

nCr(20, 2) = 190 ways of selecting 2 from 20

nCr(10, 1)    =   10 ways of selecting 1 from 10

To find the over all probability of winning,

Calculate the Harmonic Mean (19) and divide by 2

Equivalent to

1/ (1//190 + 1/10) =9.5

So the probability is 1/9.5 = 2/19.

Witch of the following numbers are greater then or equal to 4/7

A 2/5
B .57
C 2/3

Answers

Answer:

2/3

Step-by-step explanation:

Its simple. Ona calculator, if you type in these fractions, you can compare then decimal form values and see which is the biggest:

4/7 = .5714

2/5  = .04

.5/7.0714

2/3 = .66667

Since .6667 is greater than .5714, 2/3 is greater than 4/7

Answer:

B: .57

C: 2/3

Step-by-step explanation:

Divide 4/7 = .57

A: divide 2/5 = 0.4, which is less than 4/7 so we won't include this number as one of the answers

B: .57, which is equal to 4/7

C: divide 2/3 = 0.67, which is greater than 4/7

This question has two answers (B and C), because it is asking which numbers are greater than or equal to.

A grocery sold 5kg of wheat flour at Rs30 per kg and gained 20%. If he had sold it at Rs27 per kg, what would be his gain or loss percent.

Answers

Answer:

His gain percent would have been 8%

Step-by-step explanation:

The key to answering this question is to first calculate the price at which the wheat flour was bought.

Mathematically;

% profit = (selling price-cost price)/cost price * 100%

Let the cost price be $x

Thus;

% profit = (30-x)/x * 100

20 = 100(30-x)/x

20x = 3000-100x

100x + 20x = 3000

120x = 3000

x = 3000/120

x = Rs 25

So let’s assume he sold at Rs 27

His profit would have been 27-25 = 2

His gain or loss percentage would’ve been;

2/25 * 100/1 = 200/25 = 8% (gain, since selling price is greater than the cost price)

a number is multiplied by 5 and the results is twice the number added to 2 find the number

Answers

Answer:

5x=2x+2

3x=2

X=2/3

Hope this helps ФωФ

20 POINTS! Please help.! 1) Given the following three points, find by hand the quadratic function they represent. (0,6), (2,16), (3, 33) A. f(x)=4x2−3x+6 B. f(x)=4x2+3x+6 C. f(x)=−4x2−3x+6 D. f(x)=−4x2+21x+6 2) Given the following three points, find by hand the quadratic function they represent. (−1,−8), (0,−1),(1,2) A. f(x)=−3x2+10x−1 B. f(x)=−3x2+4x−1 C. f(x)=−2x2+5x−1 D. f(x)=−5x2+8x−1 3) Find the equation of a parabola that has a vertex (3,5) and passes through the point (1,13). A. y=−3(x−3)2+5 B. y=2(x−3)2+5 C. y=−2(x−3)2+5 D. y=2(x+3)2−5

Answers

Answer:

1) f(x) = 4·x² - 3·x + 6

2) f(x) = -2·x² + 5·x - 1

3) y = 2·(x - 3)² + 5

Step-by-step explanation:

1) The quadratic function that is represented by the points (0, 6), (2, 16), (3, 33) is found as follows

The general form of a quadratic function is f(x) = a·x² + b·x + c

Where, in (x, y), f(x) = y, and x = x

Therefore for the point (0, 6), we have;

6 = 0·x² + 0·x + c

c = 6

We have c = 6

For the point (2, 16), we have;

16 = a·2² + b·2 + 6

10 = 4·a + 2·b.............................(1)

For the point (3, 33), we have;

33 = a·3² + b·3 + 6

27 = 9·a + 3·b............................(2)

Multiply equation (1) by 1.5 and subtract it from equation (2), we have;

1.5 × (10 = 4·a + 2·b)

15 = 6·a + 3·b

27 = 9·a + 3·b - (15 = 6·a + 3·b) gives;

27 - 15 = 9·a - 6·a+ 3·b - 3·b

12 = 3·a

a = 12/3 = 4

a = 4

From equation (1), we have;

10 = 4·a + 2·b = 4×4 + 2·b

10 - 4×4 = 2·b

10 - 16 = 2·b

-6 = 2·b

b = -3

The function, f(x) = 4·x² - 3·x + 6

2) Where the points are (-1, -8), (0, -1), (1, 2), we have;

For point (-1, -8), we have -8 = a·(-1)² - b·(-1) + c = a - b + c......(1)

For point (0, 1), we have -1 = a×0² + b×0 + c = c.........................(2)

For point (1, 2), we have 2 = a×1²+ b×1 + c = a + b + c..............(3)

Adding equation (1) to equation (3) gives

-8 + 2 = a - b + c +  a + b + c = 2·a + 2·c  where, c = -1, we have

-8 + 2 = -6 = 2·a + 2

2·a = -6 + 2 = - 4

a = -8/2 = -2

From equation (3), we have;

2 = a + b + c

b = 2 - a - c = 2 - (-2) - (-1) = 2 + 2 + 1 = 5

f(x) = -2·x² + 5·x - 1

3) The equation of a parabola that has vertex (3, 5) and passing through the point (1, 13) is given by the vertex equation of a parabola

The vertex equation of a parabola is y = a(x - h)² + k

Where;

(h, k) = Vertex (3, 5)

(x, y) = (1, 13)

We have

13 = a·(1 - 3)² + 5

13 = a·(-2)² + 5

13 - 5 = a·(-2)² = 4·a

4·a = 8

a = 8/4 = 2

The equation is y = 2·(x - 3)² + 5.

Evaluate 6 · 3 ÷ √9 - 1. plz help, will mark brainliest A. 2 B. 3 C. 5 D. 6

Answers

Answer: C. 5

Step-by-step explanation:

[tex]6 \cdot3\div \sqrt{9}-1[/tex]

[tex]6 \cdot 3=18[/tex]

[tex]\sqrt{9}=3[/tex]

[tex]18\div \:3-1[/tex]

[tex]18\div \:3=6[/tex]

[tex]6-1[/tex]

[tex]=5\\[/tex]

The value is 16.

What is square root?

The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents. Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 3^2. Here, the exponent is 2, and we call it a square.

We can use four methods to find the square root of numbers and those methods are as follows:

Repeated Subtraction Method of Square RootSquare Root by Prime Factorization MethodSquare Root by Estimation MethodSquare Root by Long Division Method

Given:

6 · 3 ÷ √9 - 1

6*3 = 18

√9 - 1 = 3-1 = 2

So,

6 · 3 ÷ √9 - 1

=18- 2

=16

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Simplify. Can you explain it also?
[tex] \frac{9 {c}^{3} {de}^{2} }{12 {c}^{2}d {e}^{3} }[/tex]

Answers

Answer:

The answer is

[tex] \frac{3c}{4e}[/tex]

Step-by-step explanation:

[tex] \frac{9 {c}^{3}d {e}^{2} }{12 {c}^{2} d {e}^{3} } [/tex]

To solve the fraction reduce the fraction with d

That's we have

[tex] \frac{9 {c}^{3} {e}^{2} }{12 {c}^{2} {e}^{3} } [/tex]

Next simplify the expression using the rules of indices to simplify the letters in the fraction

For c

Since they are dividing we subtract the exponents

We have

[tex] {c}^{3} \div {c}^{2} = {c}^{3 - 2} = c^{1} = c[/tex]

For e

[tex]e^{2} \div {e}^{3} = e^{2 - 3} = {e}^{ - 1} = \frac{1}{e} [/tex]

Substituting them into the expression we have

[tex] \frac{9c}{12e} [/tex]

Reduce the fraction by 3

We have the final answer as

[tex] \frac{3c}{4e} [/tex]

Hope this helps you

Can anyone help me with this question ?

Answers

88.75 for each shirt

Answer:

each shirt costs $17.50.

Step-by-step explanation:

we have the equation 4(12.50) + 4(2x) = 190

because each friend (4 total friends) get one hat and two shirts.

we simplify the equation to 50 + 8x = 190

subtract 50 from both sides

8x = 140

divide both sides by 8

x = 17.5

therefore, each shirt costs $17.50.

ASAP i need to know the complete working​

Answers

Answer:

a(1):30%

(2):2135.34

(3):15000

Step-by-step explanation:

a(1):the total is 18750 and 5625 was not taxed therefore 5625 of 18750 was not taxed so get the amount expressed as a percentage by multiplying by 100

{5625/18750}×100

(2):so get the tax from the taxable amount and the taxable amount is 13125 and the tax is 22% of it so (22/100)×13125=2887.5

she takes home the amount remaining after taxation so 18750-2887.5(tax)(don't subtract 5625)=15862.5

she receives the above amount in 52 equal amounts so divide 15862.5/52 to get one amount =305.048 (meaning that per week she receives one of the 52 equal amounts I guess)

(3):so the original salary before moving to A was 100% but after moving it increases by 25 so the salary is 125% =18750(don't deduct tax I guess) so it will be (100/125)×18750

A carpenter has a 10 1/2 foot wood plank. He cuts off 4 1/4 feet to replace a deck board as well as 3 2/3 feet to repair a step. He uses the rest of the plank for a shelf. How many feet of wood does the carpenter have for the shelf? PLEASE SHOW YOUR WORK AND EXPLAIN HOW YOU GOT THE ANSWER PLEASE I WILL MARK YOU BRAINIEST.

Answers

Answer:

The carpenter used 2 7/4 feet of plank for the shelf

Step-by-step explanation:

Total length of plank =10 1/2 foot

He used

For Deck board=4 1/4 feet

Step=3 2/3 feet

Shelf=x feet

Total plank=deck board + step + shelf

10 1/2 = 4 1/4 + 3 2/3 + x

Change the fractions

21/2 = 17/4 + 11/3 + x

Add 17/4 + 11/3

21/2 =51+44/12 + x

21/2= 95/12 + x

Collect like terms

21/2 - 95/12 =x

126-95/12 = x

31/12=x

2 7/12 =x

Therefore, the carpenter used 2 7/4 feet of plank for the shelf

Answer:

Step-by-step explanation:

Total length of plank =10 1/2 foot

He used

For Deck board=4 1/4

Step=3 2/3

Shelf=x

Total plank=deck board + step + shelf

10 1/2 = 4 1/4 + 3 2/3 + x

Combine like terms to create an equivalent expression. -3.6-1.9t+1.2+5.1t

Answers

Answer:

3.2t-2.4

Step-by-step explanation:

[tex]\\-3.6-1.9t+1.2+5.1t\\\mathrm{Group\:like\:terms}\\\\=-1.9t+5.1t-3.6+1.2\\\\\mathrm{Add\:similar\:elements:}\:-1.9t+5.1t=3.2t\\\\=3.2t-3.6+1.2\\\\=3.2t-2.4[/tex]

Answer:

3.2t -2.4

Step-by-step explanation:

-3.6-1.9t+1.2+5.1t

Like by terms = -1.9t+5.1t  - 3.6 +1.2

Solve left to right step 1 = 3.2t  - 3.6 +1.2

Solve step 2  = 3.2t - 2.4

Ohm's law states That the current That the current (I) In amps equals the voltage (E) In volts divided by the resistance (R) in ohms. If you connected a two megohm resistor (2 x 10 6 ohms) Across a 2.4 kilovolt Voltage source parentheses 2.4Times 10 to the third power volts) What would be the current in amps

Answers

Answer:

1.2 milli amps

Step-by-step explanation:

From ohms law the expression for voltage is given as

[tex]V= IR[/tex]

Now given that

Voltage, V= [tex]2.4*10^3[/tex] volts

Resistance R= [tex]2*10^6[/tex] ohms

Applying ohms law the current can be calculated by making I the subject of formula

that is I= V/R

[tex]I= \frac{2.4*10^3}{2*10^6} \\\\I= \frac{2.4}{2} *10^(^3^-^6^)\\\\I=1.2*10^-^3[/tex]

The current in amps is 1.2 milli amps

Choose all properties that were used to simplify the following problem:
(38 +677) + (-38)

[677 + 38) + (-38)
677 + [38 + (-38)]
677 + 0
677
additive identity
additive inverse
commutative property of addition
associative property of addition
distributive property

Answers

The properties 1‚ 2‚ 4‚ and 5. are used

The properties used to simplify problem are 1 , 2 and 4.

A problem which is simplified is given ; (38 +677) + (-38).

What are the correct options ?

How will you represent the associative properties of addition ?

Associative properties are represented by ;  (A + B ) + C = A + ( B + C ).

As per the data given in question ;

Let's check which options are suitable.

( 38 + 677 ) + ( -38 ) = 38 + ( 677 - 38 )

(A + B ) + C = A + ( B + C )

So , this is the associative property.

677 + 0 = 677

A + 0 = A

So , this is the additive identity.

677 + [38 + (-38)]

Here ; 38 + ( -38 ) represents ;

A + (-A) = 0.

So , this is the additive inverse.

Thus ,  the properties used to simplify problem are 1 , 2 and 4.

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show that (2x+3)^3 = 8x^3+36x^2+54x+27 for all values of x

Answers

Answer:

see explanation

Step-by-step explanation:

Given

(2x + 3)³

= (2x + 3)(2x + 3)(2x + 3) ← expand the last 2 factors using FOIL

= (2x + 3)( 4x² + 12x + 9)

= 2x(4x² + 12x + 9) + 3(4x² + 12x + 9) ← distribute parenthesis

= 8x³ + 24x² + 18x + 12x² + 36x + 27 ← collect like terms

= 8x³ + 36x² + 54x + 27

SUPER URGENT HELP NEEDED! BRAINLIEST AVAILABLE!

HELP IN NEED THESE ANSWERED ASAP! WILL GIVE BRAINLIEST TO THE PERSON WHO CAN ANSWER THESE QUICKEST AND I NEED ANSWERS TO ALL 4, BUT DON'T NEED ANY WORKING OUT, BUT IF YOU WANT TO YOU CAN! ALSO IF YOU ONLY KNOW THE ANSWER TO 1 OR 2 OF THEM, JUST SEND THAT, AND I WILL STILL GIVE YOU BRAINLIEST!

Answers

Answer:

1B)[tex] 11[/tex]

1C)$ 5104$

1D) $A=3 B=-51$

1E) [tex] \frac{1}{8}[/tex]

Step-by-step explanation:

The above answer!

PlZ HELP NOW ASAP!!!

Answers

Answer:

x=33

Step-by-step explanation:

x for ?

sinx=opposite/hypotenuse

sinx=162.5/298=0.54530201

convert to degrees using arcsin(0.54530201)= 33.043

33 degrees rounded to the nearest ones

Which function is a quadratic function? a(x) = –2x3 + 2x – 6 b(x) = 5x3 + 8x2 + 3 c(x) = –8x2 + 3x – 5 d(x) = 6x4 + 2x – 3

Answers

Answer:

             c(x) = –8x² + 3x – 5

Step-by-step explanation:

Function is quadratic if there is x² and no higher exponent with any x

Answer:

C

Step-by-step explanation:

for edge

Water flows through a pipe at a rate of 4 quarts per day. Express this rate of flow in liters per week. Round your answer to the nearest tenth.

Answers

Answer:

26.5 liters

Step-by-step explanation:

We know that 1 gallon is 4 quarts, and 1 gallon is approx. 3.78 liters. There's 7 days in a week, so 7 gallons of water is being flowed through. Multiplying 3.78  by 7, we get 26.46 liters per week. Rounding to the nearest tenth, and we get 26.5 liters.

ANSWER QUICKLY PLZZZZZZ ASAP ​

Answers

Answer:

m = 2G² + 5

Step-by-step explanation:

[tex]G = \sqrt{ \frac{m - 5}{2} }[/tex]

To make m the subject square both sides of the equation

That's

[tex] \frac{m - 5}{2} = {G}^{2} [/tex]

Cross multiply

m - 5 = 2G²

Move 5 to the right side of the equation to make m stand alone

We have the final answer as

m = 2G² + 5

Hope this helps you

Answer:

A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for .

The rectangle is 4 inches long and 3 inches wide. The semi-circle sits on top of the rectangle on a side that is 4 inches long.

Step-by-step explanation:

Please answer it now in two minutes

Answers

Answer:

x = 84

Step-by-step explanation:

∠ UWV is an angle in a semicircle and is right = 90°

VW = UW  thus Δ UVW is right isosceles, thus

∠ UVW = ∠ WUV = 45° ( sum of angles in triangle ) , thus

x - 39 = 45 ( add 39 to both sides )

x = 84

Pattern A starts at 20 and has the rule 'subtract 2 Pattern B starts at 20 and has
the rule 'subtract I". Which shows the first several terms of Patterns A and B?
Pattern A: 20, 17, 15, 13, 11,
Pattern B: 20, 19, 18, 17, 16, 15
Pattern A: 20, 18, 16, 14, 12, 10
Pattern B: 20, 21, 22, 23, 24, 25
Pattern A: 20, 18, 16, 14, 12, 10
Pattern B: 20, 19, 18, 17, 16, 15
Pattern A: 20, 22, 24, 26, 28, 30
Pattern B: 20, 21, 22, 23, 24, 25

Answers

Answer:

The correct option is C.

Step-by-step explanation:

The two patterns are defined as follows:

Pattern A starts at 20 and has the rule 'subtract 2'.Pattern B starts at 20 and has  the rule 'subtract 1'.

Form the two patterns as follows:

Pattern A : 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0

Pattern B : 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0

The first several terms of Patterns A and B are shown by:

Pattern A: 20, 18, 16, 14, 12, 10

Pattern B: 20, 19, 18, 17, 16, 15

Thus, the correct option is C.

1. An atom consist of charged particles called electrons and protons. Each proton has a charge of +1 and each electron has a charge of -1.Remember number of electrons is equal to number of protons, while answering these questions i) What is the charge on an atom? Ii) What will be the charge of an atom if it loses an electron? Iii) What will be the charge of an atom if it gains an electron?

Answers

Answer:

I) no charge

ii) it will be positively charged

iiI) it will be negatively charged

Step-by-step explanation:

An atom is composed of electrons, neutrons and protons. Electrons are negatively charged while protons are positively charged. The number of electrons and protons in a neutral atom are exactly the same. This ensures the electrical neutrality of the atom.

However, if an atom looses an electron, there are now more protons than electrons present in the atom hence the atom is positively charged.

Similarly, if an atom gains an electron, it now contains more electrons than protons, hence it is negatively charged.

Remember, a percent is a fractional part
of 100. In a bag of candy, 15 of the 50
pieces are red. What percentage of the
candy is red?
mex
B 50%.
C 3006
D 659​

Answers

Answer:

Step-by-step explanation:

B

Answer:

The answer would be 30% (although I don't see that as an answer).

Step-by-step explanation:

This is because when you multiply the denominator times a number that makes the denominator 100 and multiply that same number by the numerator you get the percentage of the sample you are looking at on the numerator.

15/50 = (15*2)/(50*2) = 30/100 = 30%

The number that is 75% of one less than a number n.

Answers

Answer:

The number is n-0.75

Step-by-step explanation:

Here in this question, we are interested in giving a number which is 75% of 1 less than a number n.

The first thing we do here is to calculate the value of 75% of 1.

That would be;

75/100 * 1 = 0.75

So this value less than n will be;

n- 0.75

Solve for xxx. 12x+7 4012x+7 40

Answers

Answer:

[tex]x = 2.75[/tex]

Step-by-step explanation:

I'm assuming you have an equation

[tex]12x + 7 = 40\\[/tex]

and you want to solve for x.

This is easy. First, subtract 7 from each side of the equation.

[tex]12x+7-7 = 40-7[/tex]

[tex]12x = 33[/tex]

Then divide both sides by 12, to get x alone on the left side.

[tex]\frac{12x}{12} = \frac{33}{12}[/tex]

[tex]x = \frac{33}{12} = 2.75[/tex]

Find the vertex and the length of the latus rectum. x= 1/2 (y - 5)² + 7

Answers

Answer:

Vertex = (7,5)

Length of latus rectum = 2 units

Step-by-step explanation:

The vertex form of a parabola is

[tex]x=a(y-k)^2+h[/tex]    ...(1)

where, (h,k) is vertex and length of latus rectum is [tex]\left|\dfrac{1}{a}\right|[/tex].

The given equation is  

[tex]x=\dfrac{1}{2}(y-5)^2+7[/tex]    ...(2)

On comparing (1) and (2), we get

[tex]h=7,k=5,a=\dfrac{1}{2}[/tex]

So, vertex of parabola is (7,5).

Length of latus rectum is

[tex]L.R.=\left|\dfrac{1}{a}\right|=\left|\dfrac{1}{\frac{1}{2}}\right|=2[/tex]

Therefore, the length of the latus rectum is 2 units.

pls i want help in this sum​

Answers

Step-by-step explanation: The first rectangle to the right is 24 because 10+14 equals 24. The rectangle to the left is 19 because 10+9 equals 19. Finally the rectangle on the bottom is 23 because 14+9 is 23

Evaluate 5(14 - 2³) +8 ÷ 2.? Plz help me, will mark you as brainliest A. 26 B. 34 C. 44 D. 56

Answers

Answer:

[tex]\large \boxed{\sf B. \ 34}[/tex]

Step-by-step explanation:

[tex]5(14 - 2^3 ) +8 \div 2[/tex]

[tex]\sf Solve \ brackets.[/tex]

[tex]2^3 =8[/tex]

[tex]5(14 - 8 ) +8 \div 2[/tex]

[tex]14-8=6[/tex]

[tex]5(6 ) +8 \div 2[/tex]

[tex]\sf Multiply \ and \ divide.[/tex]

[tex]5(6)=30[/tex]

[tex]8 \div 2 = 4[/tex]

[tex]30 +4[/tex]

[tex]\sf Add.[/tex]

[tex]34[/tex]

Answer: 34

Step-by-step explanation: It's very easy to make mistakes in order of operations problems if you try to do too much of the problem in your head.

It really is worth the extra time it takes to write out every step.

P  E  M  D  A  S

Parenthses

Exponents

Multiplication/Division

Addition/Subtraction

In this problem, simplify (14 - 2³) first

because it's located inside the parenthses.

2³ is 8 so our second step reads 5(14 - 8) + 8 ÷ 2.

14 - 8 is 6 so we have 5(6) + 8 ÷ 2.

Now multiplication and division are based on order of appearance.

Since multiplication comes first, we do it first.

5(6) is 30 so we have 30 + 8 ÷ 2.

Now we can do the division.

8 ÷ 2 is 4 and we have 30 + 4 which is 34.

ANSWER QUICKLY PLZZZZZZ
ANSWER QUESTION C​

Answers

Answer:

[tex] \boxed{12}[/tex]

Step-by-step explanation:

E is 5 more than d

f is 7 less than d

a) e = d + 5

b) f = d - 7

c) plug the values of e and f

[tex] = d + 5 - (d - 7)[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] = d + 5 - d + 7[/tex]

Since, two opposites add up to zero , remove them from the expression

[tex] = 5 + 7[/tex]

Add the numbers

[tex] = 12[/tex]

Hope I helped!

Best regards!

an inch worm is how long in general

Answers

Answer:

A inch

Step-by-step explanation:

Other Questions
Smoking by Race for Males Aged 18-24 Smoker Nonsmoker Row Total (S) (N)White(W) 290 560 850 Black(B) 30 120 150 Column Total 320 680 1,000Calculate the probabilities given below (Round your answers to 4 decimal places.):i. P(S) 0.3200 ii. P(W) 0.8500iii. P(S | W) 0.2720 iv. P(S | B) 0.0300 v. P(S and W) 0.9062 vi. P(N and B) 0.1765 Arrange these structures in order of lower level of organization to upper level and write the level against each structure. neuron , nervous system , electron , man , mass of neuron , carbon , mitochondria , brain , protein If someone has a power of attorney to sign the purchase agreement on behalf of the seller, which of the following would be the proper way to sign?a. Philip Adams, sellerb. Philip Adams, by Alice Jackson, his attorney in factc. Alice Jackson, attorney in fact for the sellerd. Philip Adams, by his attorney in fact Use inverse operations to solve each equation. Explain each step and identify the property used to reach step. 19 = h/3 - 8 Which continent lies at approximately 20 S, 140 E? South America Asia Australia North America In this task, you will further explore some of the issues you learned about in the unit. You will alsoresearch the UN agencies that work on resolving these issues.Complete the table with the following information for each global issue: Write a description of the issue in your own words. These issues were covered in the unit, but youmay need to research them for further clarity.Identify the UN agencies that are involved in resolving each issue. To research the agencies, consultthis list of UN agencies e. Keep in mind that more than one UN agency may be assigned to dealwith some problems.The issue of population is addressed in the first row of the table as an example. Please help it's an emergency. What if the following choices will simplify 7-5(3)^2 answers:1)182)123)-384)None of the choices are correct what are the 21St century competencies or skills required in the information society? Evaluate 26 + a if a = 8 A company offers ID theft protection using leads obtained from client banks. Three employees work 40 hours a week on the leads, at a pay rate of $13 per hour per employee. Each employee identifies an average of 3,500 potential leads a week from a list of 4,900. An average of 8 percent of potential leads actually sign up for the service, paying a one-time fee of $90. Material costs are $1,500 per week, and overhead costs are $9,000 per week.Calculate the multifactor productivity for this operation in fees generated per dollar of input. (Round your answer to 2 decimal places.)Multifactor productivity In March, Coronado Company completes Jobs 10 and 11. Job 10 cost $29,900 and Job 11 $40,300. On March 31, Job 10 is sold to the customer for $40,300 in cash. Journalize the entries for the completion of the two jobs and the sale of Job 10. (Credit account titles are automatically indented when amount is entered. Do not indent manually.) Does anyone know the answer to this Red Sun Rising just paid a dividend of $2.43 per share. The company said that it will increase the dividend by 15 percent and 10 percent over the next two years, respectively. After that, the company is expected to increase its annual dividend at 4.1 percent. If the required return is 11.5 percent, what is the stock price today Find the GCF of 15 and 25 All of the following are true regarding traditional manufacturing except a.traditional manufacturing practices tolerate defects. b.traditional manufacturing practices increase inventory to protect against process problems. c.traditional manufacturing practices decrease lead time to protect against uncertainty. d.traditional manufacturing practices emphasize product oriented layout. Match each type of meter with its description "A customer opens a margin account by purchasing 300 shares of XYZ stock at $80 per share and deposits the required margin. If the stock declines in value by 25%, the customer's equity in the account will:" b. How were Aristotle's and Socrates ideas different Explain the role of ignorance in the rapid spread of the Corona Virus Midwest Fabricators Inc. is considering an investment in equipment that will replace direct labor. The equipment has a cost of $85,000 with a $7,000 residual value and a ten-year life. The equipment will replace one employee who has an average wage of $20,210 per year. In addition, the equipment will have operating and energy costs of $4,130 per year. Determine the average rate of return on the equipment, giving effect to straight-line depreciation on the investment. If required, round to the nearest whole percent. %