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, how many dump trucks will it take to transport the rock? Calculate the total volume of rock that the transport company is responsible for. Calculate the maximum volume of each dump truck. How many trucks are needed to deliver the rock in one trip?

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: log_{5}(2x) = 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x= {5}^{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x= 625[/tex]

[tex]\qquad \sf  \dashrightarrow \: x= 625 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 312.5[/tex]

I Hope you understood the procedure ~

the left is number 1 graphed. middle is number 2.

right is number 3.

The coordinates of point ​D' are (36,0).

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

QUAD has coordinates​ Q(0,0), ​U(0,3​), ​A(6​,3​), and ​D(6​,0).

The scale factor for ​Q'U'A'D' is 6.

So, the coordinates of ​Q'U'A'D' after dilation is:

Q'(0,0), ​U'(0,3*6​), ​A'(6*6​,3*6​), and ​D'(6*6​,0).

and Q'(0,0), ​U'(0,18​), ​A'(36​,18), and ​D'(36​,0).

Hence, the coordinate of D' is (36,0).

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Answer:

[tex]-\dfrac 65[/tex]

Step-by-step explanation:

[tex]~~~~~~~6x +5y = 10\\\\\implies 5y = 10-6x\\\\\implies y = \dfrac 15(10-6x)\\\\\implies y=-\dfrac65x+2\\\\\text{It is now in slope-intercept form(y=mx+c), where m is the slope.}\\ \\\text{Hence,}~ m = -\dfrac 65[/tex]

Answer: here u go

Step-by-step explanation:

The statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.

To answert the question, we need to know what an atom is.

An atom is the smallest indivisible part of a substance. It is represented by letters.

So, since the atom of this radionuclide contains 31 protons and 36 neutrons.

So, its atomic number is 31. Its mass number is number of protons + number of neutrons = 31 + 36 = 67. Its symbol is superscript 67 and subscript 31.

So, the statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.

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Answer:

  7/80 lb

Step-by-step explanation:

We are given that 1/10 of the 7/8 pound package is raisins.

__

The weight of raisins is ...

  (1/10)(7/8 lb) = 7/80 lb

Answer:

Week 8

Step-by-step explanation:

week 1 8

week 2 11

week 3 14

week 4 17

week 5 20

week 6 23

week 7 26

week 8 29

Answer:

[tex]\sf m = \dfrac{2}{5}[/tex]

Explanation:

A system of equations will have no solution when:

Meaning they shall have the same slope but different constant.

[tex]\sf y = \dfrac{2}{5} x - 7[/tex]       Here slope: 2/5  and constant: -7

Another equation:

[tex]\sf y = \dfrac{2}{5} x + 3[/tex]       Has the same slope but different constant.

Answer:

m = 2/5

Step-by-step explanation:

Understanding :

A system of equations have no solutions when they do not cross/intersect each other at any point.

This is only possible when the slopes of the lines are equal.

Solution :

Hence,

Answer:

60

Step-by-step explanation:

[tex]\begin{aligned}f(x) & =x^2-4\\\implies f(8) & =(8)^2-4\\& =64-4\\& =60\end{aligned}[/tex]

Answer:

120% are sixth graders

But, If you meant to say 18 basketball players and 15 6th graders, the percentage would be around 83.3%

I accidentally deleted the thing that said answer but the answer is 170.7

Step-by-step explanation:

You multiply 1.5 times 21.5 you get 32.25 then you round and get 32.3 lastly you do 203 minus 32.3 to get 170.7.

The mean is the ratio of the actual number of observations to the sum of the observations. Then the mean will be 2.5.

The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency. Arithmetic mean is a term used to describe the average.

The graph below represents data that was collected by students on the number of social media posts they made the previous day.

Then the mean will be

The sum of the observation will be

Observation sum = 4 + 2 + 2 + 3 + 3 + 2 + 1 +3

Observation sum = 20

Then the mean will be

Mean = 20/8

Mean = 2.5

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The option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.

The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.

We have:

A group of researchers wants to determine whether the type of psychotherapy has an effect on the number of PTSD symptoms in refugees.

As we can see in the problem, there are three treatment conditions are given.

Alternative hypothesis H₁: Not all means are equal

[tex]\rm H_0: \mu_1\neq \mu_2\neq \mu_3[/tex]

Thus, the option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.

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Answer:

see explanation

Step-by-step explanation:

(a)

given 2 intersecting chords in a circle, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

FH × HG = DH × HE ( substitute values )

2y = 3 × 4 = 12 ( divide both sides by 2 )

y = 6

then

DE = 3 + 4 = 7

FG = 2 + y = 2 + 6 = 8

(b)

given 2 secants from an external point to a circle, then the product of one secant's external part and the entire secant is equal to the product of the other secant's external part and the entire secant , that is

AB × AC = AD × AE ( substitute values )

5(5 + x) = 6 × (6 + 6)

25 + 5x = 6 × 12 = 72 ( subtract 25 from both sides )

5x = 47 ( divide both sides by 5 )

x = 9.4

then

AE = 6 + 6 = 12

AC = 5 + x = 5 + 9.4 = 14.4

Answer:

Step-by-step explanation:

Answer:

The right one is ........

Answer:

if im not wrong all answers are 7

Step-by-step explanation:

if you add all the numbers u get 49 and if u divide by 7 cuz u have seven numbers. you should get 7 thats you mean. then for median if u put them from least to greatest ur middle number would still be seven and then your mode would be seven since seven shows up the most.

Answer:

x = 18

Step-by-step explanation:

Let's find x :-

[tex] {x}^{2} - 11 + 3 = 180^{o} [/tex]

[tex] {x}^{2} - 8x = 180[/tex]

[tex] {x}^{2} = 8x - 180 = 0[/tex]

[tex](x - 18)(x + 10)[/tex]

[tex]x = 18[/tex]

Answer:

( r^-7 )^6 = r^-42 ( in exponential form )

        ( or )

1 / r^42 ( in fractional form )

Step-by-step explanation:

( r^-7 )^6

Formula : -

( a^m )^n = a^( mn )

Here,

a = r

m = - 7

r = 6

mn

= - 7 * 6

= - 42

Hence,

( r^-7 )^6 = r^-42 ( in exponential form )

        ( or )

( r^-7 )^6 = 1 / r^42 ( in fractional form )

Answer:

A

Step-by-step explanation:

If you read the sentences aloud, A is the only answer that makes grammatical sense, since colons are short pauses in sentences, much like commas. Colons are also commonly used for the beginning of a list, as shown here.

Hope this helped!

Answer:

state the formula which is S.I =P×T×R

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{11}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +11}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right)~~ = ~~\stackrel{\stackrel{midpoint}{\downarrow }}{(7~~,~~-2}) \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{ x +11}{2}~~ = ~~7\implies x+11=14\implies \boxed{x=3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -3}{2}~~ = ~~-2\implies y-3=-4\implies y=-1\implies y=-1i\implies \boxed{y=-i}[/tex]

Answer: Answer below

Step-by-step explanation:

just draw 2 rectangles and draw 3 lines in each one to make 4 equal sections

Answer:

2.5 cups

Step-by-step explanation:

[tex]\frac{2}{12} =\frac{x}{15}[/tex] (x is the amount of cups of zucchini you will need to feed 15 people)

This proportion is showing that 2 cups of zucchini can feed 12 people, and we will use it to find how much zucchini we will need to feed 15 people.

Cross multiply

30 = 12x

divide both sides by 12 to isolate x

[tex]\frac{30}{12}[/tex] = x

2.5 = x

That is your answer

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The brick layer builds ( 1 wall ) / ( 6 hrs )

That's the same as ( 1/6 wall ) / ( 1 hour )

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

The apprentice builds ( 1 wall ) / ( 16 hrs )

That's the same as ( 1/16 wall ) / ( 1 hour )

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

Let t = the time that the brick layer works

t + 5 = the timer the apprentice works

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

( brick layer's rate ) x ( brick layer's time ) +

( apprentice's rate ) x ( apprentice's time ) = 1

( 1 is the whole job )

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

(1/6) · t + (1/16) · (t + 5) = 1

Multiply both sides by 48

8t + 3t + 15 = 48

11t = 33

t = 3

t + 5 = 8

the brick layer works 3 hrs

The apprentice works 8 hrs

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

Check:

(1/6) · t + (1/16) · (t + 5) = 1

(1/6) · 3 + (1/16) · (3 + 5) = 1

1/2 + 1/2 = 1