The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour. If
the depth after 6 hours of draining is 8 feet then write an equation for the water depth, d, as a function of the
amount of time it's been draining, t, in hours.

Answer:

[tex]\sum\limits^5_{n=1} {2^{n-2}} = 15.5[/tex]

Step-by-step explanation:

Given

[tex]\sum\limits^5_{n=1} {2^{n-2}[/tex]

Required

The result

To do this, we simply substitute 1 to 5 for n.

So, we have:

[tex]\sum\limits^5_{n=1} {2^{n-2}} = 2^{1-2} + 2^{2-2} + 2^{3-2} + 2^{4-2} + 2^{5-2}[/tex]

[tex]\sum\limits^5_{n=1} {2^{n-2}} = 2^{-1} + 2^{0} + 2^{1} + 2^{2} + 2^{3}[/tex]

Evaluate each exponent

[tex]\sum\limits^5_{n=1} {2^{n-2}} = 0.5 + 1 + 2 + 4 +8[/tex]

[tex]\sum\limits^5_{n=1} {2^{n-2}} = 15.5[/tex]

Answer:

Answer is B edg2021

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Answer:

[tex] \bf \huge 78.5 \: c.m.[/tex]

Step-by-step explanation:

where,

finding the area of circle

⟼ A = πr²

⟼ A = 22/7 × 5²

⟼ A = 22/7 × 5 × 5

⟼ A = 3•14 × 5 × 5

⟼ A = 3•14 × 25

⟼ A = 78•5

∴ the area of circle is 78•5 centimeters

Answer:

Answer is C $0.75

Step-by-step explanation:

50b = 37.50

divide both sides by 50

50 cancels out b is by itself.

37.50 divide by 50= 0.75

The mistake Tory made is he divided b by 50 instead of multiplying b by 50. A correct equation is 50b = 37.50. Its solution is $0.75.

Division is a mathematical operation that involves the grouping of  a number into equal parts using another number. The sign used to denote division is ÷.

The equation that represents the total amount raised: total balloons sold x cost of one balloon

b x 50 = 37.50

b = 37.50/ 5-

b = $0.75

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Answer:

-10

Step-by-step explanation:

g(5) for g(x)= -2x

we put 5 to x

g(5) =  -2.5

       =-10

Answer:

B

Step-by-step explanation:

just took the test

Answer:

49

Step-by-step explanation: no idea i just evaluated like that

Answer:

49

Step-by-step explanation:

Alrighty, PEMDAS, lets get started:

9 + 3(10 ÷ 2) + 5²

So we start with the parenthesis:

10 ÷ 2 = 5

Now we do the exponent:

5² = 25

So we now have:

9 + 3 x 5 + 25

we do multiplication first:

3 x 5 = 15

so we have:

9 + 15 + 25 = 49

So 9 + 3(10 ÷ 2) + 5² = 49

hope this helps:)

do you even put attention in class or the teacher not showing shi but alright the answer is x=0

Answer:

51 ft²

Step-by-step explanation:

The figure is composed of two different triangles (triangle 1 and 2) and a rectangle

Area of the composite figure = area of triangle 1 + area of triangle 2 + area of rectangle

✔️Area of triangle 1 = ½*bh

b = 3 ft

h = 2 ft

Area of triangle 1 = ½*3*2 = 3 ft²

✔️Area of triangle 2 = ½bh

b = 3 ft

h = 3 ft

Area of triangle 2 = ½*3*3 = 4.5 ft²

✔️Area of rectangle = L*W

L = 3 + 8 = 11 ft

W = 4 ft

Area of rectangle = 11*4 = 44 ft²

✅Area of the composite figure = 3 + 4 + 44

= 51 ft²

Answer:

The perimeter is 25.

Step-by-step explanation:

Darling, I'm not always accurate but I hope this helps you with math!

Answer:

i think 1 half sorry if i am wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

ax+d>o

that ax+d is greater than o

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Answer:

B

Step-by-step explanation:

Hi there!

The first one is addition because if she got more, we are adding to it.

The last one seems to be a multiplication problem, "each friend"

I am so sorry if this is wrong, Hope you have a good day/night.

Answer:

Nurses use the quadratic equation for calculating the dosage of the patients, calculating drip rates, conversion between the systems, drug titration, and more.

Step-by-step explanation:

Nurses with an order to "give 750 mg every 4 hours as needed for pain" may receive 250 mg tablets from the pharmacy, requiring them to calculate the number of pills to administer. They also need to calculate the amount of medicine to give when drawing up liquid medicine for injection. In order to give 7.5 mg must be compared to the vial, which states, "5 mg per cc." Some medication orders require the nurse to calculate the dosage based on the patient's weight.

Quadratic equations are applicable in nursing particularly in the aspect of drug and dosage administration.

Therefore, quadratic equations are applicable in nursing particularly in dosage administration.

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Answer:

C

Step-by-step explanation:

The primary objective of an IPO is to raise capital for a business. It can also come with other advantages. The company gets access to investment from the entire investing public to raise capital.

The purpose of an initial public offering (IPO) is to raise money. It could potentially have other benefits, hence option C is correct.

The corporation can raise money by accepting investments from the whole investing public. An IPO's main goal is to help businesses raise finance.

An initial public offering (IPO) is the process of selling new shares of a private company to the public. To hold an IPO, businesses must satisfy Securities and Exchange Commission (SEC) and exchange standards.

Company insiders may use an IPO to diversify their holdings or generate liquidity by selling all or a portion of their private shares as part of the public offering.

Learn more about IPO, here:

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Answer:

D

Step-by-step explanation:

1/12 X 110 = .0833333333 x 110 = 9.16

D. 9

Step-by-step explanation:

110÷12 = 9.1 however just round down to 9

since there are 12 equal pieces of the pie graph you would also count yellow and not exclude it

Answer:

Hi! The answer to your question is [tex]x^{2}[/tex]+11x+28

Step-by-step explanation:Answer:

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Hope this helps!!

Stay Safe!!

- Brooklynn Deka

Answer:

C(g) = 27

Step-by-step explanation:

2.25(12) = 27

You just plug in your g value and solve.

It would cost $27 to buy 12 gallons of gasoline. Substitute the value of g (number of gallons) into the cost function C(g).

In the cost function C(g) = 2.25g, the variable g represents the number of gallons of gasoline we want to buy. We want to find out the cost of buying 12 gallons, so we will replace g with 12 in the equation:

C(12) = 2.25 * 12

Perform the multiplication.

Now, we simply calculate the value of 2.25 * 12:

C(12) = 27

So, the result is 27. It means that it would cost $27 to buy 12 gallons of gasoline using the given cost function C(g) = 2.25g. The cost is calculated by multiplying the number of gallons (12) by the cost per gallon (2.25).

To know more about gasoline:

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Answer:

74

Step-by-step explanation:

1. Showing your knowledge in the problem

Well, you know that a straight line is 180 degrees, right? And you know that the angles are 52 degrees and 54 degrees. So, your equation would be set up like this: 52 + 54 + ____ = 180

2. What is 52 + 54?

106

3. Subtract 180 - 106

74

Hope that helps!

Answer:

180 - 52 - 54 = 74

x = 180 - 74 = 106°

Answer:

5555

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

7x4 is 28 which means you have to multiply 3x4. That gives you 12. 28:12 is the proper ratio. (Hope this helped!)

Answer:

b.28/12

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The numerator is the number of apples and the denominator the total number of fruit.

There are 6 apples, then numerator = 6

Answer:

if jasmine writes the fraction of fruit that are apples and does not reduce the fraction...

●6/10

Answer:

gohdsyuufdyiikkjhfddyiooufddtuiokhfd

Answer:

1:1.66

Step-by-step explanation:

you can round it up to 1:1.7 if that's what your teacher says

Answer:

33 students

If you divided the class into groups with 4 boys and 7 girls in each group, there will be 11 students in each group.

The total number of students in the class therefore must be a multiple of 11.

The only multiple of 11 between 24 and 40 is 33.

There are therefore 33 students.

4/11×33=12 are boys and 7/11×33=21are girls.

12:21= 4:7

hope it helps you

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Answer:

[tex]\csc\theta=\dfrac{1}{a}[/tex]

Step-by-step explanation:

Given that,

[tex]\sin\theta=a[/tex]

We need to find the value of [tex]\csc\theta[/tex].

We know that, the relation is given as follows :

[tex]\sin\theta=\dfrac{1}{\csc\theta}\\\\\csc\theta=\dfrac{1}{\sin \theta}[/tex]

Put [tex]\sin\theta=a[/tex]

So,

[tex]\csc\theta=\dfrac{1}{a}[/tex]

So, the answer is equal to [tex]\dfrac{1}{a}[/tex].

Answer:

1 out of 8 chance it will be listed exactly

Answer:

322.28

A

Step-by-step explanation:

Area of the rectangle

L = 30

W = 21

Area = 30 * 21

Area = 630

Area of the circles

Radius = 7 m

Area = pi r^2

Area = 3.14 * 7^2

Area = 153.86 m^2

Area of both circles = 307.72

Area of the Shaded Region

Area of shaded region = area of the rectangle - area of 2 circles.

Area of Shaded Region = 630 - 307.72

Area of Shaded Region = 322.28

Ecology is the study of relationships of living organisms and their environment

Step-by-step explanation:

Ecology in a simple sense is the the study of ecosystems