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An equation which should be used to calculate the volume of the geometric figure (see attachment) is: A. V = 1/3(6)4)(8).

Based on the geometric figure shown, we can logically deduce that it is a pyramid. Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

Where:

Substituting the parameters into the formula, we have:

Volume = 1/3 × 6 × 4 × 8

Volume = 1/3(6)4)(8).

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Answer:

226 grams

Step-by-step explanation:

The half-life of a radioactive substance is the time taken for half the quantity of the substance to decay such that the amount life after the given period of time is half the original quantity.

As such, given that the half-life of a certain radioactive element is 35 hours and there are 904 grams available, it means that after 35 hours,

Amount decayed = 1/2 * 904 grams

= 452 grams

Amount left = 904 grams - 452 grams

= 452 grams

After another 35 hours (now a total of 70 hours),

Amount decayed = 1/2 * 452 grams

= 226 grams

Amount left = 452 grams - 226 grams

= 226 grams

Answer:

Step-by-step explanation:

Answer:

(x-9)(x+2) = x^2 + 2x -9x -18  = x^2 -7x -18

Answer is B

Step-by-step explanation:

Answer:

-y^(2)+x+y

Step-by-step explanation:

Step-by-step explanation:

6(2x^2 - x - 28)

6(2x + 7)(x - 4)

Answer:

21

Step-by-step explanation:

because it is only part of the bottom one so it should be 21 sorry if it wrong

Cos(angle) = adjacent leg/ hypotenuse

Cos(30) = x/24

X = cos(30) x 24

X = 20.78

X = 21

Answer:

the answer is 12

Step-by-step explanation:

you basically have to divide 8 by 2/3 then you would get 12

8(4-x) = 772

32 - 8x = 772

-8x = 772 - 32

-8x = 740

8x = -740

x = -740/8

x = -92.5

hope it helps!

50=100%

X=90%

X=50*90%/100

X=45

Answer:

45

Step-by-step explanation

90/100 × 50/1 50 goes into 100 2

90/2 × 1/1 = 45

Hope this helps

Answer:

42%

Step-by-step explanation:

1) so out of the 50 girls surveyed, only 21 students played in the league. We can write this as 21/50

to convert this into percentage multiply by 2 on both sides:

21*2=42

50*2=100

42/100=42%

42% of girls played in the league

hope this helps!

Answer:

D. 604

Step-by-step explanation:

411/3 = 137

137 + 388 = 525

----------------------------------

(n) 604 - 79 = 525

Answer:

2000 problems

Step-by-step explanation:

1st week - 0.25x

2nd week - 1.10(0.25x)

3rd week - 0.6(0.25x + 1.10(0.25x))

4th week - 320

Than to solve for the monthly quota, equate the sum of all the problems solved to x and determine its value. Thus, the students solved 2000 problems all in all.

Enjoy Your Answer!

Answer:

2000

Step-by-step explanation:

Answer:

Fraction form -15/2

Decimal form -7.5

Step-by-step explanation:

4x+30=0

subtract 30 from both sides

4x=-30

divide both sides by 4

x=-30/4

simplify

-15/2 or -7.5

Answer:

1=1

2=4

3= <NTR=115

   <RTM=45

  <STN=45

4= A-124

    B-45

    C-45

    D-90

    E-124

5=15

6=?

Step-by-step explanation:

FGHJK

Answer:

Hello,

2 (d + 7) (d - 7)

Step-by-step explanation:

2 d² - 98 = 2 (d² - 49) = 2 (d² - 7²)

a² - b² = (a + b) (a - b)

2 (d² - 7²) = 2 (d + 7) (d - 7)

Answer:

It loses $400 a year

Step-by-step explanation

$2000 x 20% or .20 = $400 per year is what the computer loses.

It loses a great deal of value a year.

Answer: 100n

Step-by-step explanation:

Each year it looses 100$ of its value each year.

Answer:

If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.

Step-by-step explanation:

I have a book on this kinda stuff! :D

Answer:

If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.

Step-by-step explanation: ED2022

Answer:

False and also the last word is data not date.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

4/25

First we have to divide 1/5 by 5. To do this we must follow the rules of dividing fractions which is switching the numerator and denominator of the second number/fraction, so 5 becomes 1/5. Next, we have to multiply the two fractions: 1/5 x 1/5= 1/25 (This is the amount of apricots in 1 bag). If we multiply that by 5, its going to 5/25 which is now 5 bags. 5/25 - 1/25=4/25 and that is our final answer.

Answer:

6 units²

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

The total number of marbles is 5+5+4 = 14

P(red and blue) = number of red and blue / total

                          =5+5 / 14

                          = 10/14

                          = 5/7

Answer:

C

Step-by-step explanation:

Answer 190 square inches

Step-by-step explanation:

If there wasn't a piece cut off of the rectangle, you would multiply 22 by 15 because those are the side lengths. However, there is a piece missing so it will not have a great of an area. On the left side, it says that the width is 8 because part of the side is cut off. On the other side, it says 22. This shows that 14 inches is cut off. So width of the missing piece is 14. Then you need to find the length. On the bottom. It says the length is 5 where the top says 15. That shows that 10 inches are missing. That means the missing side is 14x10 which is 140 square inches. If the rectangle was a whole, it would be 330. You subtract 140 from that and it makes 190 square inches.

Answer:

190 square inches.

Step-by-step explanation:

here is my work to follow to figure out a problem like this.

Answer:

its 52.5. I just did it on edge

Step-by-step explanation:

The area of the regular polygon is 52.5 in².

Area is the region bounded by a plane shape.

To calculate the area of the regular pentagon, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the area of the regular polygon is 52.5 in².

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Answer:

11.25

Step-by-step explanation:

AB: < 14-3 , 17-12 >

AB: < 11, 15 >

AC = ¾< 11, 15 >

AC = < 8.25 , 11.25 >

OC = OA + AC

OC = < 3 , 12 > + < 8.25 , 11.25 >

OC = < 11.25 , 23.25 >

C: (11,25,23.25)

Answer:

Step-by-step explanation:

let the national average be x

11/100 * x = 11x/100

25.47 - x = 11x/100

100(25.47-x) = 11x

2547 - 100x = 11x

2547 = 11x + 100x

2547 = 111x

x = 2547/111

x = 22.945945945946

22.95

Answer:

$2,975.85

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 3.5% into a decimal:

3.5% -> [tex]\frac{3.5}{100}[/tex] -> 0.035

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

[tex]A=2,500(1+\frac{0.035}{4})^{4(5)}[/tex]

[tex]A=2,975.85[/tex]

After 5 years, the account will have $2,975.85

Answer:

J

Step-by-step explanation:

you get -6, -3, and -1 which are all less than 2

By options all the solutions are,

⇒ x = - 3, 0 , 2

Because all are less than 5.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

Inequality is,

⇒ x - 3 < 2

Now, We can simplify as;

⇒ x - 3 < 2

Add 3 both side,

⇒ x  - 3 + 3 < 2 + 3

⇒ x < 5

Hence, By options all the solutions are,

⇒ x = - 3, 0 , 2

Because all are less than 5.

Learn more about the inequality visit:

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Answer:

Step-by-step explanation:

make 2 2/3 into an improper fraction by multiplying 2 by 3 and adding to 2

8/3

8/3 divided by 1/4 is the same as 8/3 multiplied by 4/1 (just 4)

[tex]\frac{8}{3}*\frac{4}{1} =\frac{32}{3}[/tex]

32/3=10 2/3