What is A + 6 divided by 8 = 18? what is A? First to answer gets brainliest.

Answers

Answer 1

Answer:

A=138

Step-by-step explanation:

First you would multiply 18 times 8, which equals 144. Then you would subtract 6, which equals 138. So A=138.

Answer 2

Answer:

A = 138

Step-by-step explanation:

[tex] \frac{a + 6}{8} = 18 \\ a + 6 = 18 \times 8 \\ a + 6 = 144 \\ a = 144 - 6 \\ a = 138[/tex]


Related Questions

Find the area of the circle with the center C (1, -2) and passes through the point (4, 2). Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

r=√((4-1)²+(2+2)²)=√(9+16)=5

area of circle=π r²=3.14×5²=78.50=78.5

The area of the circle is found by calculating the radius using the distance formula and then applying the formula A = πr². Using the common approximation of π as 3.14, the area is found to be approximately 78.5 square units when rounded to the nearest tenth.

The first step in finding the area of the circle is to determine its radius. The radius can be found by calculating the distance between the center of the circle, C (1, -2), and a point on the circle, (4, 2). Using the distance formula, we get the radius r = √((4-1)² + (2-(-2))²)} = √{(3)² + (4)²} = √{9 + 16} = √{25} = 5 units. Next, we use the formula for the area of a circle, which is A = πr². Substituting the radius in, we find A = π(5)² = 25π. The approximation on the circle for π is 3.14, thus the area of the circle is approximately A = 25 * 3.14 = 78.5 square units, which should be rounded to the nearest tenth.

It is also noteworthy that any approximation on the circle may vary slightly depending on the value chosen for π, but using 3.14 is commonly accepted for most calculations. So our final answer is, rounding to the nearest tenth, the area of the circle is approximately 78.5 square units.

what is the perimeter?





Answers

Answer:

18 yards

Step-by-step explanation:

6+5+3+4= 18

18 yards
You add all of them up
Your welcome :)

Of 140 seventh graders, 15% earn the presidential fitness award. How many students earn the award?

Answers

Answer:

119

Step-by-step explanation:

Hope this helps! Brainliest is appreciated.

3 4/6 - 2 1/4 please help me

Answers

Answer:1 5/12

Step-by-step explanation:

3 4/6 - 2 1/4

Change to improper fraction we have

22/6 - 9/4

(2x22-3x9)/12

(44-27)/12

17/12=1 5/12

Answer:

1 5/12

Step-by-step explanation:

3 4/6 - 2 1/4

3 2/3 - 2 1/4

11/3 - 9/4

Lcm is 12

(11×4 - 9×3)/12

(44 - 27)/12

17/12

1 5/12

solve 4(3)+5(6+1) wut is dis

Answers

Answer: 47

Step-by-step explanation:

Answer:

47 is the answer

Step-by-step explanation:

Write the sentence as an equation.

19 increased by d is 234

Answers

Answer:

19+d=234

Step-by-step explanation:

"increased by d" is addition. "is" is equal. So Putting these together it would be 19+d=234.

Hope this helped!

Solve for x
3.5x=24.5

Answers

Answer:

8.166666666666666666666666666666666666666666

Step-by-step explanation:

Finding Side Lengths
2 in.
xin.
These two figures are the image and pre-image of a
dilation
Find the lengths of the missing sides.
4 in.
5 in.

Answers

Answer:

x = 2.5y = 5

Step-by-step explanation:

As the two figure are the image and pre-image of a dilation.

Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.

As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.

It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in

Lets determine the missing side of the right side triangle by the same rule.

As the original object has one of the sides is 5 in and the corresponding side of the image has x in. As the original figure is dilated by a scale factor of 1/2. so the missing side of x will be: x = 5/2 = 2.5

So, the value of x will be 2.5

Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.

so

y + 1 = 2(3)         ∵ 3 in (image side) is multiplied by 2

y + 1 = 6

y = 6 - 1

y = 5

So, the value of y = 5

Therefore,

x = 2.5y = 5

Answer:5.5

6

Step-by-step explanation:

I need some help please I will give u a heart.

Answers

Answer:

Step-by-step explanation:

[tex]3\frac{1}{4}+2\frac{1}{6}=3+2+\frac{1}{4}+\frac{1}{6}\\\\=5+\frac{1}{4}+\frac{1}{6}\\\\LCM(4,6)=12\\\\\frac{1*3}{4*3}=\frac{3}{12}\\\\\frac{1*2}{6*2}=\frac{2}{12}\\\\5+\frac{1}{4}+\frac{1}{6}=5+\frac{3}{12}+\frac{2}{12}\\\\=5+\frac{3+2}{12}=5+\frac{5}{12}\\\\=5\frac{5}{12}[/tex]

Answer:

[tex]5\frac{5}{12}[/tex]

Step-by-step explanation:

Simplify the expression

Exact form: [tex]\frac{65}{12}[/tex]

Decimal Form: 5.416 (The six has a line on top indicating that it goes one forever basically)

Mixed Number form: [tex]5\frac{5}{12}[/tex]

Hopefully this helps

Also Give me your heart ;)

The hypotenuse of a 30°-60°-90°
triangle has a length of 12 cm.
Which could be the length of a leg
of the triangle?

Answers

Answer: Below

Step-by-step explanation:

If you don't know Trigonometry, in a 30-60-90 triangle, the hypotenuse is always twice as long as the side opposite the 30° angle and the side opposite the 60° angle is √3 times as long as the side opposite the 30° angle.  

 

So, since the hypotenuse has length 12 cm,  

 

    side opposite 30° angle (shorter leg) = 6 cm

 

    side opposite 60° angle (longer leg) = 6√3 cm

The possible lengths of the legs are 6 and 6√3

How to determine the length of a leg?

The triangle is given as:

30-60-90 triangle

And we have:

Hypotenuse = 12 cm

A 30-60-90 triangle is a unique triangle with the following parameters

Opposite = Hypotenuse/2

Adjacent = Hypotenuse/2 * √3

So, we have:

Opposite = 12/2

Adjacent = 12/2 * √3

Opposite = 6

Adjacent = 6√3

Hence, the possible lengths of the legs are 6 and 6√3

Read more about right triangles at:

https://brainly.com/question/2437195

Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?
48 divided by 4 = g
4 divided by 48 = g
g divided by 4 = 48
4 divided by g = 48

Answers

Answer:

its The first one  

Step-by-step explanation:

Ok so to do an average, you add all number together (48) then you Divide by the number of items added (4 games) then it's the first one. Hope this helps, sorry if someone then answer it.  

Answer:

A

Step-by-step explanation:

I took the test

A polynomial function can be written as (x - 2)(x - 3)(x + 5). What are the x-intercepts of the
graph of this function?
a. (2,0), (3, 0), (-5,0)
b. (-2,0), (-3,0), (5,0)
c. (2,0), (3, 0), (5,0)
d. (-2, 0), (-3,0), (-5,0)

Answers

Answer:

a) : (2,0), (3,0), (-5,0)

Step-by-step explanation:

(x - 2)(x - 3)(x + 5)=0 (y=0)

x-2=0, x-3=0, x+5=0

x=2, x=3, x=-5

x-intercepts: (2,0), (3,0), (-5,0)

A town has a population of 5000 and
grows at 2% every year. What will be the
population after 5 years, to the nearest
whole number?

Answers

Final answer:

To calculate the population after 5 years at a 2% growth rate, you apply the formula for exponential growth, resulting in an estimated population of 5512 to the nearest whole number.

Explanation:

To calculate the population of a town after 5 years with a 2% annual growth rate, you would use the formula for exponential growth. In this case, the initial population is 5000 and the growth rate is 0.02 (2%). The population after n years is given by the formula P(n) = P(0) × (1 + r)ⁿ, where:

P(0) is the initial population,r is the growth rate,and n is the number of years.

After 5 years, the formula will look like this:

P(5) = 5000 × (1 + 0.02)⁵

Calculating the above:

P(5) = 5000 × (1.02)⁵P(5) = 5000 × 1.10408P(5) = 5512.41

To the nearest whole number, the population of the town after 5 years will be 5512.

When a function goes through the origin how can I find the slope

Answers

Answer:

m= y/x

Step-by-step explanation:

The equation to find the slope (m) is to determine 2 points then divide the difference of y-coordinates with the x-coordinates.

The equation will look like this:

m= (y2-y1)/(x2-x1)  

When a function goes through the origin(0, 0), that means the line doesn't have c variable, the equation of the line will be as simple as y=mx

Then the equation to find the slope(m) will be:

y=mx

m=y/x

You can directly divide y-coordinate with x-coordinate to find the slope.

X multiplied by 1/5 equals 6/3 what is x

Answers

Answer:

Step-by-step explanation:

x/5=6/3

3x=30

x=10

Answer:

x=10

Step-by-step explanation:

x*1/5 = 6/3

Simplify 6/3 =2

1/5x = 2

Multiply each side by 5

1/5x *5 = 2*5

x = 10

Use the equation to answer the question.


12a+9b=k(2a+32b)


Which value of k makes the equation true?

a.6

b.2

c.4

d.3

Answers

Final answer:

To find the value of k that makes the equation true, we can start by expanding both sides of the equation. Then, rearrange the equation to isolate the terms with a on one side and the terms with b on the other side. Finally, solve for k to find the value that makes the equation true.

Explanation:

To find the value of k that makes the equation true, we can start by expanding both sides of the equation:



12a + 9b = k(2a + 32b)



12a + 9b = 2ka + 32kb



Next, we can rearrange the equation to isolate the terms with a on one side and the terms with b on the other side:



12a - 2ka = 32kb - 9b



This simplifies to:



(12 - 2k)a = (32k - 9)b



To make this equation true, the coefficient of a must be equal to the coefficient of b. Therefore, we can set up an equation:



12 - 2k = 32k - 9



Solving for k:



12 + 9 = 32k + 2k



21 = 34k



k = 21/34



Therefore, the value of k that makes the equation true is 21/34.

Learn more about Solving equations here:

https://brainly.com/question/14410653

#SPJ12

Find the discrimanant and the number of real roots for this equation 9x^2+12x+4=0

Answers

For this case we have that by definition, the discriminant of a quadratic equation [tex]ax ^ 2 + bx + c = 0[/tex], is given by:

[tex]d = b ^ 2-4 (a) (c)[/tex]

[tex]d> 0[/tex]: Two different real roots

[tex]d = 0[/tex]: Two equal real roots

[tex]d <0[/tex]: Two different complex roots

If we have [tex]9x ^ 2 + 12x + 4 = 0[/tex], then:

[tex]a = 9\\b = 12\\c = 4[/tex]

Substituting the values:

[tex]d = 12 ^ 2-4 (9) (4)\\d = 144-144\\d = 0[/tex]

Thus, we have two equal real roots.

ANswer:

We have two equal real roots.

7. Hannah wants to rent a bike. Bike rentals
cost $15 per hour plus a one-time fee of $8.
Write an equation to represent the
relationship between the number of hours h
Hannah rents the bike and the total cost c.

Answers

Answer:

c=8+15h

Step-by-step explanation:

A mug is 2/3 full. The mug contains 5/6 of a cup of water. Find the capacity of the mug.

Answers

1/6 of the cup is left

We want to find the total capacity of the mug given that we know how much liquid there is in a 2/3 full mug.

We will find that the capacity of the mug is 1.25 cups.

We know that when the mug is 2/3 full, it has 5/6 cups.

Then if we define C as the total capacity of the mug, we can write:

(2/3)*C = 5/6 cups.

Now we can solve the above equation for C:

C = (3/2)*(5/6) cups = 1.25 cups.

The capacity of the mug is 1.25 cups.

If you want to learn more, you can read:

https://brainly.com/question/1859979

if y varies directly as x, find the constant of variation if y= 32 when x= 8

Answers

Answer:

K = 4

Step-by-step explanation:

If y varies directly as x

y = k x

Divide both sides by by x

K = y/x

When y = 32 and

x = 8

K = 32/8

K = 4

Six tenths of what number is 5.4? Write the equation that you would use to solve this problem and show steps that are needed to solve it.

Answers

Answer:

bruh bruh bruh bruh bruh

Step-by-step explanation:

cringe

Answer:9

Step-by-step explanation:

multiply the 5.4 by 10 and the 0.6 by ten, then divide the 54 by 6

You get 9, then multiply that by 0.6, and you get 5.4

you multiply because the statement includes "of" which means multiplication

70 POINTS PLEASE HELP. WILL MARK BRAINLIEST
Mrs. Ashe is planning to take her study group on a field trip to an amusement park. The regular cost is $50 per person. There is a party special that costs $35 per person with an additional $300 fee for a private room where students can eat lunch. Mrs. Ashe is trying to decide if she should use the regular price or the party special.



Part 1:

A) Write an equation in slope-intercept form (y=mx+b) to show the total cost of the regular price with x people, where x = number of students in the study group and y = the total cost. (10 points)



B) Write an equation in slope-intercept form (y=mx+b) to show the total cost of the party special with x people, where x = number of students in the study group and y = the total cost. (10 points)

Answers

Answer:

a) y = 50x + 0

b) y = 35x + 300

Step-by-step explanation:

a) The price is $50 (per person), so you multiply 50 by the number of people going (which is x).

b) The price is $35 dollars (per person), so you multiply 35 by the number of people (which again would be x). There is also an extra cost of $300.

Hope this helps! :)

brainlist if correct

The value of 3over2 + 3over3 = ___.

Answers

2 and 1/2 sinc 3 over 3 is 1 and add that to 3/2 then simplify

Answer:

15/6 or 2.5

Step-by-step explanation:

Step 1:  Convert words into an expression

The value of 3over2 + 3over3 = ___.

3/2 + 3/3 = ?

Step 2:  Make common denominators

3/2 * 3/3 = 9/6

3/3 * 2/2 = 6/6

Step 3:  Add

9/6 + 6/6

15/6

Answer:  15/6 or 2.5

the box that contains the salt lick is 1 1/4 feet by 1 2/3 feet 5/6 feet.how many cubes of salt lick fit in the box?explain or show your reasoning.

Answers

Answer:

24

Step-by-step explanation:

24 cubes. Reasoning varies. Sample reasoning: The length of the box

can fit or 5/4 : 5/12 =3 cubes. The width of the box can fit or 5/3 : 5/12 = 4 cubes.  The height of the box can fit 5/6 : 5/12 = 2 cubes. The box can fit

or 24 cubes.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Length of the box = 5/6 ft

Width of the box = 5/4 ft

Height of the box = 5/3 ft

Sides of the cube salt lick = 5/12 ft

Number of salt lick in the box (length) = 5/6 ÷ 5/12

= 2 cubes.

Number of salt lick in the box (width) = 5/4 ÷ 5/12

= 3 cubes.

Number of salt lick in the box (length) = 5/3 ÷ 5/12

= 4 cubes.

Total number of salt lick = 4 × 3 × 2

= 24 cubes.

George is playing cards what is probability of pulling an ace or Jack from the deck

Answers

Answer: 4/52 or 1/13 (simplified)

Step-by-step explanation: There are 52 cards in a deck and 4 aces

Answer:

1/13

Step-by-step explanation:

There are 13 types of cards in a deck and there are 4 cards in each. So if you wanted to pull a ace or jack from the deck it would be 1/13

The government of the Republic of Lemon Island plans to transform their lemon-based
economy into a tourism-based economy. They develop the following model to predict the
long-term effect of this transformation for the size of their economy y:
dy
dt = (A − Be−t/5
)y; A, B > 0.
(a) Find the general solution y(t) for this equation.
(b) The Republic of Lemon Island has a current economic growth of 2% per year and
the government expects the transformation to cause this growth rate to triple in
the long term. Explain why values A = 0.06 and B = 0.04 are a good choice to
approximate this behaviour.
(c) Using A = 0.06 and B = 0.04, find the particular solution y(t) assuming that the
size of the economy of Lemon Island before the transformation is $50 000 000, and
that the transformation causes the size of the economy to shrink by $10 000 000 at
t = 0.
(d) The size of the economy of Lemon Island without the transformation can be mod-
eled using the same equation with parameters A = 0.02 and B = 0.
In which year after the transformation will the size of the transformed economy
surpass the size of the economy without the transformation?
(e) Elections on Lemon Island are in five years time. The Lemon Island Polling In-
stitute (LIPI) predicts that the current government will only be re-elected, if the
growth rate of the economy is, by then, at least 4%. According to the first model,
can the current government expect to be re-elected?

Answers

Step-by-step explanation:

dy/dt = (A − Be^(-t/5)) y

(a) Find the general solution by separating the variables and integrating.

dy / y = (A − Be^(-t/5)) dt

dy / y = [A + 5B (-⅕ e^(-t/5))] dt

ln |y| = At + 5B e^(-t/5) + C

y = e^(At + 5B e^(-t/5) + C)

y = Ce^(At + 5B e^(-t/5))

(b) As t approaches infinity, dy/dt approaches Ay.  The rate of growth, A, is triple the initial rate of growth 0.02, so A = 0.06.

When t = 0, dy/dt = (A − B)y.  The rate of growth, A−B, is 0.02.  We know A = 0.06, so B = 0.04.

(c) Given that A = 0.06, B = 0.04, and y(0) = 50×10⁶ − 10×10⁶ = 40×10⁶:

40×10⁶ = Ce^(0.06(0) + 5(0.04) e^(-0/5))

40×10⁶ = Ce^(0.2)

C = 40×10⁶ e^(-0.2)

y = 40×10⁶ e^(-0.2) e^(0.06t + 0.2 e^(-t/5))

y = 40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5))

(d) If A = 0.02 and B = 0, and there is no transformation (y(0) = 50×10⁶), then:

50×10⁶ = Ce^(0.02(0) + 0)

50×10⁶ = C

y = 50×10⁶ e^(0.02t)

Comparing to the answer from part (c):

40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5)) = 50×10⁶ e^(0.02t)

e^(-0.2 + 0.04t + 0.2 e^(-t/5)) = 5/4

-0.2 + 0.04t + 0.2 e^(-t/5) = ln(5/4)

-5 + t + 5e^(-t/5) = 25 ln(5/4)

t + 5e^(-t/5) = 5 + 25 ln(5/4)

Solve with a calculator:

t = 9.886

The transformed economy surpasses the untransformed economy in the 10th year.

(e) In year t=5, the size of the transformed economy is:

y = 40×10⁶ e^(-0.2 + 0.06(5) + 0.2 e^(-5/5))

y = 47.6×10⁶

The percent growth is:

(47.6×10⁶ − 40×10⁶) / 40×10⁶ × 100% = 19%

The growth rate is greater than 4%, so the current government can expect to be reelected.

What does 5.9E4 mean?

Answers

Answer:

59,000

Step-by-step explanation:

That is scientific notation, as used in a calculator, for example, to mean

5.9 * 10^4

5.9 * 10^4 = 5.9 * 10,000 = 59,000

Which equation has real zeros corresponding to
the x-intercepts of the graph?
y = log3(x) – 1
y = 3x - 3
y=-3(x - 1) + 3
y = log3(2x) - 2

Answers

Answer:

A

Step-by-step explanation:

y = log3(x) – 1

I don't know why but this is the correct answer.

[tex]y = \log_{3}x - 1[/tex] is the equation with real zeros corresponding to the x-intercepts of the graph.

How to find a function based on a graph

According to the statement, we must find a function such that all values of [tex]x[/tex] so that [tex]y(x) = 0[/tex] and are the same of the graph. A quick approach consists in solving on each expression:

Expression A

[tex]\log_{3}x-1 = 0[/tex]

[tex]\log_{3}x = 1[/tex]

[tex]x = 3[/tex]

Expression B

[tex]3\cdot x - 3 = 0[/tex]

[tex]3\cdot x = 3[/tex]

[tex]x = 1[/tex]

Expression C

[tex]-3\cdot (x-1) + 3 = 0[/tex]

[tex]-3\cdot x +6 = 0[/tex]

[tex]x = 2[/tex]

Expression D

[tex]\log_{3}2x - 2 = 0[/tex]

[tex]\log_{3}2x = 2[/tex]

[tex]2\cdot x = 9[/tex]

[tex]x = \frac{9}{2}[/tex]

Hence, we conclude that [tex]y = \log_{3}x - 1[/tex] is the equation with real zeros corresponding to the x-intercepts of the graph. [tex]\blacksquare[/tex]

Remarks

The graph is missing and all functions are poorly formatted. Correct statement is shown below:

Which equation has real zeros corresponding to the x-intercepts of the graph?

A. [tex]y = \log_{3} x - 1[/tex]

B. [tex]y = 3\cdot x -3[/tex]

C. [tex]y = -3\cdot (x-1) + 3[/tex]

D. [tex]y = \log_{3}2x -2[/tex]

To learn more on logarithms, we kindly invite to check this verified question: https://brainly.com/question/7302008

Factor these completely. -a^2-2a+80

Answers

Answer:

-(a-8)*(a+10)

Step-by-step explanation:

Algebra 1, Section 7.08

Answers

Answer:

=2x^3+5x+2

Step-by-step explanation:

hope this helps

Other Questions
The daily demand for gasoline at a local gas station is normally distributed with a mean of 1200 gallons, and a standard deviation of 350 gallons. If R is a random number between 0 and 1, then which of the following correctly models daily demand for gasoline? a) 1200 + 350 R b) 1200 + 350*NORMSDIST(R) c) NORM.INV(R, 1200, 350) d) Both b) and c) are correct. "The forward rate of the Swiss franc is $.50. The spot rate of the Swiss franc is $.48. The following interest rates exist: You need to purchase SF200,000 in 360 days. If you use a money market hedge, the amount of dollars you need in 360 days is:" Which quantity refers most directly to the average molecular kinetic energy present in a substance?thermal energytemperaturespecificheatheat of fusion the radius of a birthday cake is 5 inches.Icing will decorate the circumference of the cake.What procedure can be used to find the approximate circumference of the cake? If you were in the Kshatriya caste, which religion do you think you would be most drawn to? Why? People who are old enough most likely remember September 11, 2001, the fateful day that over two thousand people died in the terrorist attacks on New York City's World Trade Center, the Pentagon in Washington, and in the flight that aborted in Pennsylvania. Describe the memory effect that explains why people are likely to remember this day. Visual mixing is often associated with the post-Impressionist era of the late nineteenth century and can be observed in the works of artists such as Seurat and van Gogh. The techniques of ____________ and _________ both use small bits of juxtaposed color to produce different color sensations. A flat coil of wire has an area A, N turns, and a resistance R. It is situated in a magnetic field, such that the normal to the coil is parallel to the magnetic field. The coil is then rotated through an angle of 90, so that the normal becomes perpendicular to the magnetic field. The coil has an area of 1.5 10-3 m2, 50 turns, and a resistance of 166 . During the time while it is rotating, a charge of 7.3 10-5 C flows in the coil. What is the magnitude of the magnetic field? Your cellular phone contract is due for renewal and the company offers you a new free phone. Since you want to use your new phone, you decide to recycle your old phone. Your action a. Creates wealth by moving the phone from lower value use to higher value use b. Destroys wealth since you lose your phone c. Creates wealth by making you feel richer d. All of the above Click this link to view O*NET's Tasks section for Personal Financial Advisors. Note that common tasks are listedtoward the top, and less common tasks are listed toward the bottom According to O*NET, what are some commontasks performed by Personal Financial Advisors? Check all that apply.storing money in a bank for clientsinterviewing clientsanalyzing client risk to determine whether to offer a loanrecommending strategies to help clients achieve their financial goalsprocessing clients' insurance claimsanswering clients' questions Water at 80 deg. F and 20 psia is heated in a chamber by mixing it with saturated water vapor at 20 psia. If both streams enter the mixing chamber at the same mass flow rate, determine a) the temperature (Ans. approx 230 deg. F) and b) the quality of the exiting steam (Ans. around 0.4). Solve the equation:x + 3x - 4x=0 Catalina and Christian share a work station on the assembly line. Catalina works the morning shift and Christian works the afternoon shift. Catalina is 52" tall and Christian is 510" tall. The workstation can be lowered to Catalinas height and then raised to Christians height. Catalina and Christians jobs have a(n) ______ design.A. mechanisticB. organicC. biologicalD. perceptual-motor Extension: If one mole of glucose contains 2870 KJ of energy and one mole of ATP releases 30.7 KJ of energy during a reaction, what is the percentage of energy in glucose that is available for the body to use? Women won the right to vote after America's victory in:OA. World War IOB. The Civil WarO C. World War IIO D. The Spanish-American War Write a do-while loop that repeatedly prompts for and takes input until a value in the range 0 through 15 inclusive is input. Include code that prevents the loop from executing forever on input of a wrong data type Which expression is equivalent to 20c - 8d?A. 2(10c + 4d)B. 4(5c - 8d)C. 4(5c - 2d)D. c(20 -8d)(explain please.) Almost all medical schools require applicants to take the Medical College Admission Test (MCAT). To estimate the mean score of those who took the MCAT at WSSU, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 6.5. Suppose that (unknown to you) the mean score of those taking the MCAT at WSU is 25.0. You sampled 25 students. What is the probability that the mean score of your sample is between 22 and 28 "Which was a reason for European imperialism in the late nineteenth century?" decline in worldwide trade need for raw materials abolition of slavery discovery of gold in Africa How did president hoover try to help banks during the crisis