Subtract: 3x^2 - 7x + 4 from 5x^2 - 3x + 8.

Answers

Answer 1

Answer: subtrace x from y means y-x so
subtract 3x^2-7x+4 from 5x^2-3x+8 means
5x^2-3x+8-(3x^2-7x+4)=
5x^2-3x+8-1(3x^2-7x+4)
5x^2-3x+8-3x^2+7x-4=
5x^2-3x^2-3x+7x+8-4=
2x^2+4x+4

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Make r the subject of the formula: V=pier^2h

Answers

If you mean π. Then, all that will be ;
V=πr²h
First of all, you have to divide the both the sides by πh. You have to do this because the relationship between r and those two characters is multiplication. The opposite of multiplication is division. Anyway;
V/πh=πr²h/πh
V/πh=r²
Next you have to take the square root of both sides. This is done to cancel the square. Anyway;
√V/πh=√r²
The square root cancels the ². Anyway, you will be left with;
√V/πh=r
So;
r=√V/πh.
Hope i helped. Have a nice day.

V = πr²h
Divide by h
V/h = πr²
Divide by π
V/πh = r²
Square Root
√(V/πh) = r
r = √(V/πh)

Can someone please help me

Answers

Answer:

Step-by-step explanation:

A rectangular box has dimensions 4 by 5 by 2 . Increasing each dimension of the box by the same amount yields a new box with volume six times the old. Use the ALEKS graphing calculator to find how much each dimension of the original box was increased to create the new box. Round your answer to two decimal places.

Answers

Answer:

2.68 units

Step-by-step explanation:

We are given that a rectangular box has dimensions 4 by 5 by 2.

We have to find that how much each dimension of the original box was increased to create the new box

Let x be the increased value in each dimension

We know that volume of rectangular box=lbh

Volume of original box= $4* 5* 2$ =40 cubic units

Volume of new box = $6* 40=240 cubic units$

Dimension of new box= $(x+4)(5+x)(2+x)$

Volume of new box=240

$(x+5)(x+4)(x+2)=240$

$x^3+11x^2+38x+40-240=0$

$x^3+11x^2+38x-200=0$

By graph we get

x=2.679

Round to two decimal places then we get

x=2.68

Hence, each dimension was increased by 2.68 units

The perimeter of a square is 24 cm. what is the length of the diagonal

Answers

A square is equal on all 4 sides and in this problem all sides are equal to 6. Therefore you have an isosceles right triangle with two sides of six making the Hypotenuse 6*the square root of two.
( the rule for an isosceles right triangle is the two legs are equal to X and the Hypotenuse is equal to X* the square root of 2

Barney and Betty break into a parking meter with $5.05 in dimes and quarters in it, and agree that Barney get all the dimes, and Betty will get all the quarters. Barney ends up with five more coins than Betty. How much money did each get?

Answers

so remember that a quarter=25 cents and a dime=10 cents so
represent q=# of quarters
d=# of dimes

so barney gets dimes so replace barney with d and betty with q
barney get 5 more coins than betty
d=5+q
total=5.05=0.25q+0.10d since each is worth 0.25 and 0.10 so we have
d=5+q and 5.05=0.25q+0.10d
subsitue (5+q) for d
5.05=0.25q+0.10(5+q)
distribute
5.05=0.25q+0.50+0.10q
add like terms
5.05=0.35q+0.50
subtract 0.50 from both sides
4.55=0.35q
divide both sides by 0.35
13=q
subsitute
d=5+q
d=5+13
d=18

barney got 18 coins and betty got 13 coins

The warehouse of the Alpha DistributionCompany measures 450 feet by 300 feet. If
65% of the floor space is covered, how many square feet are NOT covered?

Answers

Answer:

47,250 ft^2

Step-by-step explanation:

Area: 450 * 300 = 135,000 ft^2
65% of 135,000 =

135,000 * 0.65 = 87,750 ft^2 (space covered)
135,000 - 87,750 = 47,250

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