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LUCKY_DIMON [66]
3 years ago
10

Write an algebraic expression for each verbal expression. Then simplify, indicating the properties used. 4 times the difference

of f squared and g, increased by the sum of f squared and 2g
Mathematics
1 answer:
MissTica3 years ago
6 0
4(f ^2-g)+f^2+2g is your answer
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What is the volume of this? PLEASE ANSWER,, answer choices are •213 •336 •288
enyata [817]

Answer:

288 cm³

Step-by-step explanation:

The volume (V) of the triangular prism is

V = area of triangular base × height

area of base = \frac{1}{2} × 6 × 8 = 24 cm², hence

V = 24 × 12 = 288 cm³

7 0
3 years ago
Robert invests $3,250 into a money market account with an annual 1.7% simple interest rate. If he does not add or subtract any m
Trava [24]

I = PRT/100    where P = pricipal, R = rate and T = number of years. I = interest.

So answer is (3250 * 1.7 * 3) / 100  =  $165.75

4 0
3 years ago
How many gallons of water will be in the fish tank after 3 minutes?
enyata [817]

If Mai is filling her fish tank with water flowing into the tank at a constant rate, and the tank fills 0.8 gallons in 0.5 minutes, then the tank will be filled with 4.8 gallons of water after 3 minutes.

As per the question statement, Mai is filling her fish tank with water flowing into the tank at a constant rate, and the tank fills 0.8 gallons in 0.5 minutes.

We are required to calculate the volume of water in gallons, that will be filled in the above mentioned tank after 3 minutes.

Here, it is given that, the tank gets filled with 0.8 gallons of water in 0.5 minutes, and that, the water flows into the tank at a constant rate.

So first, let us calculate the water flow rate into the tank per minute, that is, [(0.8 * 2) = 1.6 gallons] per minute, since [(0.5 minutes * 2) = 1 minute]

Therefore, the tank will get filled with [(1.6 * 3) = 4.8 gallons] of water in 3 minutes, if the water inflow rate is 1.6 gallons per minute.

  • Gallons: A gallon (gal) is a measuring unit for volume and capacity, typically used by the U.S. customary and earlier by the British Imperial Systems of Measurement, with 1 US gallon being equal to 3.785411784 Litres, and 1 imperial gallon being equal to 4.54609 L.

To learn more about Gallons and Constant Flow Rates, click on the link below.

brainly.com/question/17856253

#SPJ1

4 0
1 year ago
A square and a rectangle have the same perimeter is the length of the side of the square is 4X minusone the score of the rectang
Assoli18 [71]

Square Perimeter = 4(4x-1)

Rectangle Perimeter = 2(2x+1) + 2(x+2)

Square Perimeter = Rectangle Perimeter

4(4x-1) = 2(2x+1) + 2(x+2)

16x - 4 = 4x + 2 + 2x + 4

16x - 4 = 6x + 6

-6x +4 -6x +4

10x = 10

x = 1

5 0
3 years ago
The 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively. ​What is the 1st term of the sequence.
Ostrovityanka [42]

Answer:

<h3>             a₁ = -1</h3>

Step-by-step explanation:

a_n=a_1+d(n-1)\\\\a_8=a_1+d\cdot7\\\\a_{20}=a_1+d\cdot19\\\\a_{20}-a_8=a_1+19d-(a_1+7d)=12d\\\\56-20=2d\\\\12d=36\\\\d=3\\\\\\ a_1+3\cdot7=20\\\\a_1=20-21=-1

6 0
3 years ago
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