What is the range for the following set of measurements? 7.1 g, 9.8 g, 2.3 g, 8.5 g, 7.4 g, 5.7 g

The number of trucks needed to deliver the rock in one trip will be 6.

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

V =  a x b x c

A transport company needs to deliver 500,000 pounds of rocks to a construction site.

The company owns a set of dump trucks- each with a container in the shape of a rectangular prism (figure A).

If each pound of rock has a volume of 0.01 cubic feet.

Then the total volume of rock that the transport company is responsible for.

Volume of rocks = 0.01 x 500,000

Volume of rocks = 5,000 ft³

Then the maximum volume of each dump truck will be

Volume of truck = 12 x 9 x 8

Volume of truck = 864 ft³

Then the number of the trucks are needed to deliver the rock in one trip will be

Number of trucks = 5000 / 864

Number of trucks = 5.787

Number of trucks ≅ 6

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Answer:

Step-by-step explanation:

16, 18, 23, 25, 26, 34, 37, 37, 40, 41, 46

( 16 + 18 + 23 + 25 + 26 + 34 + 37 + 37 + 40 + 41 + 46 ) ÷ 11 = 31.181818...

mean ≈ 31

median = 34

mode = 37

Step-by-step explanation:

If 5x - 8 = 12 , then x = 4

5x - 8 = 12

5x = 12 + 8

5x = 20

x = 20/5

x = 4

If -2(3x + 5) = -17 + x , then x = 1

-2(3x + 5) = -17 + x

-6x - 10 = -17 + x

x + 6x = 17 - 10

7x = 7

x = 7/7

x = 1

Hi Student!

The first step that we need to take before trying to solve the problem is that we need to take out important information from the problem.  The first important piece of information that is given to us is that we are trying to find an equation of a line that is parallel to a different line.  This means that our slope is going to be the same as the initial line given.  The second piece of information that is given is a point through which our line passes through which will help us greatly when solving for our line.

The next step that we must take is to solve for y in the given equation so we can see what the slope is.

Subtract 6x from both sides

Divide both sides by 5

Now that we have completely solved for y, we can see that the slope is -1.2 using the y = mx + b formula which states that m is the slope.

Moving onto the next step, we must use the point-slope formula to determine what the new equation is that has the same slope and passes through (-4, -2).

Insert the Values

Simplify the Equation

Distribute the Equation

Subtract 2 from both sides (to isolate y)

Therefore, our final answer for the equation of the line parallel to 6x + 5y = 1 and that passes through (-4, -2) is y = -1.2x - 6.8.

The coordinates of the image of (-3, -7) after the translation will be equal to .(-12,2)

The process of changing the location of the image on the coordinate system will be known as the translation. Here the image is translated as (x-9,y+9).

The given coordinate of the point is:- (-3,-7)

So the translation will be calculated as:-

=(x-9,y+9 )

=(-3-9,-7+9

=(-12,2)

Hence coordinates of the image of (-3, -7) after the translation will be equal to (-12,7)

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Answer:Don’t know I will just get points.Thx

Step-by-step explanation:

Answer:

3 - 2n

Explanation:

Difference means we have to subtract integers.

Let the number be n. Twice of this number: 2n

Difference of 3 and twice this number: 3 - 2n

Answer:

mPS = 80°

Step-by-step explanation:

angles on a circle subtended by the same arc are congruent

∠ PQS and ∠ PRS are both subtended by arc PS , then

10 + 3x = 110 - 7x ( add 7x to both sides )

10 + 10x = 110 ( subtract 10 from both sides )

10x = 100 ( divide both sides by 10 )

x = 10

then

∠ PQS = 110 - 7x = 110 - 7(10) = 110 - 70 = 40°

the inscribed angle PQS is half the measure of its intercepted arc PS , then

PS = 2 × 40° = 80°

The value of p is equal to 76 when q is equal to 4

Given :

If p is inversely proportional to the square of q

when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]

given that p is inversely proportional to the square of q. the equation becomes

[tex]p=\frac{k}{q^2}[/tex]

when p is 19 the value of a is 8

Replace the values and find out q

[tex]p=\frac{k}{q^2}[/tex]

[tex]22=\frac{k}{8^2}[/tex]

[tex]22=\frac{k}{64}[/tex]

Multiply both sides by 64

k=1216

Now we find out p when q is 4

Replace k value and q value to find out p

[tex]p=\frac{k}{q^2}[/tex]

[tex]p=76[/tex]

The value of p is equal to 76 when q is equal to 4

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Answer:

P = 88.

Step-by-step explanation:

P = k/q^2

22 = k/ 8^2

k = 22 * 64 = 1408.

So P = 1408/q^2

When q = 4:

P = 1408/4^2

q = 88

Answer:

The answer is 1

Step-by-step explanation:

Answer:

y = -5/4x + 7 1/4

Step-by-step explanation:

The difference in y (10) over the difference in x (8)

Answer:

Hey!

Well based on my knowledge it usually says that on the tissue box itself.... (in fine print)

i may be wrong.... but do check...

65.6

First find the hypotenuse:

(hyp)²=(opp)²+(adj)² theo. of pyth.

(hyp)²=(11)²+(5)² subt.

(hyp)²=121+25 calc.

√(hyp)²=√146

hyp=12.08cm

sinx = 11/12.08

x=sin-¹(11/12.08)

x=65.6°

Step-by-step explanation:

k has to be replaced by k+1.

so,

4 / ((k+1)(k+1 + 3)) = 4 / ((k+1)(k+4))

I am not sure how far your teacher expects you to go with this.

just in case, I will do also the full multiplications

4 / ((k+1)(k+4)) = 4 / (k² + 4k + k + 4) = 4 / (k² + 5k + 4)

and if you need the factor to go from Pk to Pk+1 :

Pk+1 / Pk = (4/((k+1)(k+4))) / (4/(k(k+3)) =

= (4/((k+1)(k+4))) × (k(k+3))/4 =

= (k(k+3)) / ((k+1)(k+4))

Answer:

9-1=8

Step-by-step explanation:

he started with 9 but at the end of the day he had 8. meaning he ate 1 peice

Answer:

Step-by-step explanation:

-u-5+10u-25=9u-30

it was easy.

Answer:

Sherlyn swam 42 minutes on Saturday

Step-by-step explanation:

danced for 3 2/4 hours on Saturday

3 2/4 hours is equivalent to 3.5 hours

1 / 5 of (that time) 3.5 hours is (1 / 5) * 3.5 = 0.7 hours

Because one hour is equal to sixty minutes, in order to change the units you have to multiply the number of hours, 0.7, by 60.

0.7 x 60 = 42 minutes

Let me know if you have any questions !

AND WELCOME TO BRAINLY :)

Answer:

Step-by-step explanation:

Hey there!

ASSUMING

(3x)° + 45° = 180°

3x + 45 = 180°
SUBTRACT 45 to BOTH SIDES

3x + 45 - 45 = 180 - 45

SIMPLIFY IT!
3x = 180 - 45

3x = 135

DIVIDE 3 to BOTH SIDES

3x/3 = 135/3

SIMPLIFY IT!

x = 45°

Therefore, the answer should be:

x = 45

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Given:

To solve:

(3x)°+45°=180°

First, subtract by 45 from both sides.

3x+45-45=180-45

Solve.

Subtract these numbers goes from left to right.

180-45=135

3x=135

Divide by 3 from both sides.

3x/3=135/3

Solve.

Divide these numbers from left to right.

135/3=45

[tex]\Longrightarrow: \boxed{\sf{x=45}}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

B. 1/4

Step-by-step explanation:

We can use the distance = rate ⋅ time formula to find the distance Lee traveled. The formula d = rt looks like this when we plug in the numbers from the problem. The unknown distance is represented with the variable d. To find d, all we have to do is multiply 65 and 2.5.

Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130

GCF of 52 and 130 is 26

I found a similar question here so that's what I can only tell you. I hope it will help you.

Answer: y = -13

Step-by-step explanation:

Given:

[tex]\displaystyle \frac{y-8}{3} =-7[/tex]

Multiply both sides by 3:

[tex]\displaystyle y-8 = -21[/tex]

Add 8 to both sides:

[tex]\displaystyle y= -13[/tex]

Given equation,

Aim :

Cross multiplying them,

>> y - 8 = -7 × 3

>> y - 8 = -21

Transposing -8 from L.H.S. to R.H.S.,

>> y = -21 + 8

>> y = -13

Therefore :

Using the normal distribution, it is found that the probability that a data value is between 28 and 35 is given by:

A. 29.6%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Researching the problem on the internet, the mean and the standard deviation are given by:

[tex]\mu = 26, \sigma = 4[/tex].

As a proportion, the probability that a data value is between 28 and 35 is the p-value of Z when X = 35 subtracted by the p-value of Z when X = 28, hence:

X = 35:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{35 - 26}{4}[/tex]

Z = 2.25

Z = 2.25 has a p-value of 0.988.

X = 28:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{28 - 26}{4}[/tex]

Z = 0.5

Z = 0.5 has a p-value of 0.692.

0.988 - 0.692 = 0.296 = 29.6%, which means that option A is correct.

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Inequalities help us to compare two unequal expressions. The correct option is C.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The situation that can be represented by the inequality 150 ≤ 15x + 55 is Thomas has 55 baseball cards in his collection. He will buy 15 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at most 150 baseball cards?

Hence, the correct option is C.

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Answer:

11 + 13i

Step-by-step explanation:

A must know is that

[tex] \sqrt{i} = - 1[/tex]

Complex numbers

1st: foil the equations

[tex] - 3(1 - 2i) + 7i(1 - 2i)[/tex]

[tex] - 3 + 6i + 7i- 14 {i}^{2} [/tex]

2nd Combine like terms and substitute

[tex]i ^{2} for \: - 1[/tex]

[tex] - 3 + 14 + 13i[/tex]

[tex]11 + 13i[/tex]