please help me(i'm not smart so i don't get this at all T-T)

original length =3cm

Answer:

solution given;

let length be x

its

volume be x ³

we have when length is increased by 1cm volume increased by 37cm³ so

(x+1)³=x³+37cm³

x³+1³+3x²+3x=x³+37

3x²+3x-36=0

3(x²+x-12)=0

x²+4x-3x-12=0

x(x+4)-3(x+4)=0

(x+4)(x-3)=0

either

x=-4 rejected

or

x=3cm

The length (in centimeters) of each edge of the original cube will be 3.

Assume the side length of the cube under consideration is L units. The volume of the cube is then equal to L³ cubic units.

We have when length is increased by 1 cm volume increased by 37 cm³, so from the given condition the equation formed as;

(L+1)³=L³+37 cm³

Open the bracket and apply the necessary identities;

L³+1³+3L²+3L=L³+37

3L²+3L-36=0

3(x²+x-12)=0

Applying the factorization method;

L²+4L-3L-12=0

L(L+4)-3(L+4)=0

(L+4)(L-3)=0

L=-4 cm (Negative length is not possible.)

L=3cm

Hence,the length (in centimeters) of each edge of the original cube will be 3.

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Explicación:

   conversión de 45.000.000 gr  a kg

       45.000.000 gr ( 1 kg / 1000 gr) = 45.000 kg

    conversión de 45.000 kg   a  toneladas

       45.000 kg ( 1 ton / 1000 kg) = 45 ton

Respuesta:  Espero te sirva...

Answer:

One-third of the volume

Step-by-step explanation:

Volume of cylinder = πr²h

Volume of cone = (1/3)πr²h

Answer:

From least to greatest, the correct order is: [tex]-\frac{157}{20}[/tex]; -7.666....; -7.64; and [tex]\sqrt{50}[/tex].

Step-by-step explanation:

Since [tex]\sqrt{50}[/tex] is the only positive number, that means that it will be the greatest number on the list. [tex]-\frac{157}{20}[/tex] is equivalent to -7.85, which makes it the smallest number. So you can conclude that the correct order is [tex]-\frac{157}{20}[/tex]; -7.666...; -7.64; and [tex]\sqrt{50}[/tex].

9514 1404 393

Answer:

  $2,104.33 at the beginning of the month, or

  $2,111.35 at the end of the month

Step-by-step explanation:

The amount you can withdraw at the end of the month is given by the annuity formula ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where principal P is earning annual rate r for t years

  A = $400,000(0.04/12)/(1 -(1 +0.04/12)^(-12·25)) ≈ $2,111.35

If the withdrawal is at the beginning of the month, then the amount is less by a factor of (1+0.04/12) ≈ 1.003333. It will be $2,104.33.

Answer:

1,260,000

Explanation:

Using the calculator on any Windows computer, first put "1.26" in. After doing so, press the "exp" button that should be there if you're using the calculator on a Windows computer. After pressing that, put in "6", then press equals. After doing it correctly, you should get this answer.

Answer:

How many molecules of water are there in 10 lbs of water?

Step-by-step explanation:

Answer:

x = 15

AC = 95

Step-by-step explanation:

6x + 5 = 8x - 25

combine like terms:

2x = 30

x = 15

AC = 95

Answer:

205 is 55% of 372 and is 335 90% of 372

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

uhhh

Answer:

42% chance

Step-by-step explanation:

Since there are 21 red marbles and 29 blues ones, the total amount of marbles is 50. There are only 21 red marbles out of 50 marbles so there is a 21/50 chance that you will pick a red marble.

Answer: C) 1/a^12•b^8

Step-by-step explanation:

Answer:

Step-by-step explanation:

$1000×1.04⁵ ≅ $1216.65

interest ≅ $216.65

Answer:

The radius of the watermelon was 5 milimeters.

Step-by-step explanation:

Since Joel went to the market to buy a juicy watermelon and found the volume was 523.6 square mm., To determine what is the radius of the watermelon, the following calculation must be performed, knowing that the volume of a sphere is equal to four thirds multiplied by pi, multiplied by the radius cubed:

4/3 x 3.14 x X^3 = 523.6

4.186 x X^3 = 523.6

X^3 = 523.6 / 4.186

X = 3√ 125.06

X = 5

Therefore, the radius of the watermelon was 5 milimeters.

Answer:

The maximum height is 14 feet and it will take 0.75 s to reach there.

Step-by-step explanation:

A ball is thrown directly upward from a height of 5 ft with an initial velocity of 24 ft/sec.

The function is :

[tex]s(t) = -16t^2+24t+5[/tex] ....(1)

It gives the height of the ball, in feet, t seconds after it has been thrown.

For maximum height,

s'(t) = 0

So,

-32t+24 = 0

t = 0.75 s

It will take 0.75 s to reach the maximum height.

Put t = 0.75 s in equation (1). So,

[tex]s(0.75) = -16(0.75)^2+24(0.75)+5\\\\s=14\ feet[/tex]

So, the maximum height is 14 feet and it will take 0.75 s to reach there.

Answer:

The probability that a carpet that is 7 feet by 14 feet contains no flaws is 99.996%.

Step-by-step explanation:

Given that flaws in a carpet tend to occur randomly and independently at a rate of one every 260 square feet, to determine what is the probability that a carpet that is 7 feet by 14 feet contains no flaws, the following calculation must be performed:

7 x 14 = 98

1/260 = 0.003

98 = 100

0.003 = X

0.003 x 100/98 = X

0.0039 = X

100 - 0.0039 = 99.996

Thus, the probability that a carpet that is 7 feet by 14 feet contains no flaws is 99.996%.

Answer:

C. subtracting 6

Step-by-step explanation:

If you add 6 to a number then subtract t you get the same number because they are inverse operations

Hope I helped! (p.s. maybe brainliest answer)

On comparing, we get {a} = 0 and {b} = 4.

The general form of a complex number is -

z = a + ib

Given is the number as -

√-16

We can write the number √-16 in the form of (a + ib) as follows. We have -

√-16

√(- 1 x 16)

√(i² x 16)

√i² x √16

i√16

0 + i√16

0 + 4i

Therefore, on comparing, we get {a} = 0 and {b} = 4.

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Answer:

280? srry if i wrong

Step-by-step explanation:

Answer:

Ann went 21 miles in the taxi

Step-by-step explanation:

Answer:

I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.

Step-by-step explanation:

Since I have one type of nut that sells for $ 4.50 / lb and another type of nut that sells for $ 8.00 / lb, and I would like to have 28 lbs of a nut mixture that sells for $ 7.80 / lb, to determine how much of each nut will I need to obtain the desired mixture, the following calculation must be performed:

8 x 0.95 + 4.5 x 0.05 = 7.825

8 x 0.94 + 4.5 x 0.06 = 7.79

0.94 x 28 = 26.32

26.4 x 8 + 1.6 x 4.5 = 218.4

218.4 / 28 = 7.8

Thus, I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.

Answer:

x = 140

Step-by-step explanation:

Using the exterior angle rule ( an exterior angle of a triangle is equal to the opposite interior angles of a triangle )

x is the interior angle and the given angles ( 50 and 90 ) are the opposite interior angles

So

x = 50 + 90

50 + 90 = 140

x = 140

Note: there is a right angle ( indicated by the little square. A right angle has a measure of 90 degrees so that's where the 90 came from)

The statements that are valid based on the survey results are:

About 20% of the students are taking chemistry.

About twice as many students are taking health science than are taking physics.

For every 150 students we could predict that at least 18 of the students are taking physics.

Option A, B, and C are correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

About 20% of the students are taking chemistry:

To calculate the percentage of students taking chemistry, we divide the number of students taking chemistry by the total number of students surveyed and multiply by 100:

10/50 x 100% = 20%

Therefore, the statement "About 20% of the students are taking chemistry" is valid based on the survey results.

About twice as many students are taking health science than are taking physics:

The number of students taking health science is 12, and the number of students taking physics is 6. To see if twice as many students are taking health science than physics, we can compare the ratios:

Health science : Physics = 12 : 6 = 2 : 1

Since the ratio is 2:1, we can conclude that the statement "About twice as many students are taking health science than are taking physics" is valid based on the survey results.

For every 150 students, we could predict that at least 18 of the students are taking physics:

To make this prediction, we need to calculate the proportion of students taking physics based on the survey results:

6/50 = 0.12

To predict how many students are taking physics in a larger population, we can multiply the proportion by the size of the population:

0.12 x 150 = 18

Therefore, the statement "For every 150 students we could predict that at least 18 of the students are taking physics" is valid based on the survey results.

For every 25 students, we could predict that at least 4 of the students are taking Earth Science:

To make this prediction, we need to calculate the proportion of students taking Earth Science based on the survey results:

4/50 = 0.08

To predict how many students are taking Earth Science in a larger population, we can multiply the proportion by the size of the population:

0.08 x 25 = 2

Therefore, the statement "For every 25 students we could predict that at least 4 of the students are taking Earth Science" is not valid based on the survey results, as we would predict that at least 2 students are taking Earth Science, not 4.

Therefore,

The statements that are valid based on the survey results are:

About 20% of the students are taking chemistry.

About twice as many students are taking health science than are taking physics.

For every 150 students we could predict that at least 18 of the students are taking physics.

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Answer:28

Step-by-step explanation:

Answer:

29/7 or in decimal form: 4.1428...

Step-by-step explanation:

C = 180 - 112 = 68°

A = 180 - 68 - 51 = 61°

B = 180 - 61 = 119°

Another way :

We know that B = C + 51 ==> B = 68 + 51 = 119°