A recycling bin is in the shape of a right rectangular prism. The bin is 12 meters long, 512 meters wide, and 612 meters tall. What is the volume of the recycling bin? 3534 m³ 360 m³ 429 m³ 51834 m³

area/width

=length

=1176÷21

=56m

Answer:

Length = 56 meters

Step-by-step explanation:

We can find the length of the rectangle which has an area of 1,176 square meters and width of 21 meters with this formula:

[tex]\boxed{Area(A)=length(l)\times width(w)}[/tex]

Given:

Then:

[tex]\begin{aligned}A&=l\times w\\1,176&=l\times21\\l&=1,176\div21\\l&=56\ m\end{aligned}[/tex]

Final answer:

To convert the 3-ton weight of Mr. Johansson's truck to ounces, we multiply 3 tons by 2,000 to get pounds and then multiply that figure by 16 to get 96,000 ounces.

Explanation:

Mr. Johansson's truck weighs 3 tons. To convert this weight to ounces, we need to know that one ton is equal to 2,000 pounds and one pound is equal to 16 ounces.

First, we convert tons to pounds:
3 tons x 2,000 pounds/ton = 6,000 pounds

Next, we convert pounds to ounces:
6,000 pounds x 16 ounces/pound = 96,000 ounces

Therefore, the weight of Mr. Johansson's truck is 96,000 ounces. This conversion showcases the application of the conversion factors between tons, pounds, and ounces, providing a precise measure of the truck's weight in a more universally comprehensible unit.

Final answer:

The truck weighs 96,000 ounces.

Explanation:

To convert tons to ounces, we can use the conversion factor that 1 ton is equal to 32,000 ounces.

So, to find how many ounces the truck weighs, we can multiply the weight of the truck in tons by the conversion factor.

Weight of the truck in ounces = Weight of the truck in tons x Conversion factor

Weight of the truck in ounces = 3 tons x 32,000 ounces/ton

Weight of the truck in ounces = 96,000 ounces.

Answer with explanation:

Coefficient of determination(r²), is defined as, how well the data values are associated with each other when Regression line is drawn. In regression analysis, the coefficient of determination  measures , how well the regression predictions approximate the real data points, means it measures the closeness between two variables.The Value of r², lies between  0 to 1. If value of r²=1, it shows ,regression line that is data values are Perfectly associated with each other.

If ,r²=0, it means there is no variation between two variables.There is 0% variation between two variables.

→Coefficient of Variation=[Correlation coefficient]²

                                         =r²

                                        =(0.854)²

                                        =0.854 × 0.854

                                         =0.729316

                                          =0.730(Approx)

Answer:  The inverse f the given statement is

"If a polygon is not a Pentagon, then it does not have five sides".

Step-by-step explanation:  We are given to write the inverse of the following conditional statement:

"If a polygon the has five angles, then it is a Pentagon".

INVERSE of a conditional statement :

If the conditional statement is

"If p, then q",

then its inverse statement is given by

"If not q, then not p".

Therefore, the inverse of the given statement is

"If a polygon is not a Pentagon, then it does not have five sides".

Answer:

It is Option C If a polygon does not have five angles then it is not a pentagon.

Step-by-step explanation:

The absolute value of -12 is 12 and we can find it on the number line by going 24 times right from -12.

The absolute value or modulus of a real number x, and we know that modulas always gives a positive number.

The number which is given in the question is -12 and we have to find the absolute value of this number. To find out the absolute value we have to put this number in modulas.

I -12 I  =it will give us 12

to make -12 to 12 we need to first take it to 0 by adding 12 and then from 0 to 12 by adding another 12. We have added 24 to-12 to reach 12.

In this way we can find the absolute value of -12 on number line.

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Amount Saved = Original Price x Discount % / 100. So,

Amount Saved = 60 x 20 / 100

Amount Saved = 1200 / 100

Amount Saved = $12 (answer)

Solution:

Question 1:

we are given that

A football player who runs 5yds/sec and starts on the 25 yard line.

So here rate is 5yds/sec

and 25 yards is the y- intercept.

Hence it can be written as

[tex]y=5x+25[/tex]

Question 2:

Based on the given equations, which one represents the greatest rate?

As we know in the standard form of equation of starlight line

[tex]y=mx+b[/tex]

m represents the rate or gradient.

As we can observe from the given options [tex]y = 7x + 5[/tex] has the greatest gradient.

Hence the correct option is [tex]y = 7x + 5[/tex]

The residuals of any data set should get added to zero. If there are three residuals (say A, B, and C) in any data set, then it could be written as A + B + C = 0.

Given are the two residuals -10 and -20 out of three point in a particular data set.

Let's assume A = -10 and B = -20, so that we could find third value C of the given data set.

We know A + B + C = 0

(-10) + (-20) + C = 0

(-30) + C = 0

C = 30

It means that third residual must be 30.

Hence, the final answer is 30.

Answer:

30

Step-by-step explanation:

Mathematics defines function as an expression that points a relationship between two variables.

Sequence is a list of numbers in certain order.

The function that defines the sequence -6,-10,-14,-18 is [tex]\rm f(x)= -4x-2[/tex]

Given:

[tex]\rm f(1)=-6\\f(2)=-10\\f(3)=-14\\f(4)=-18\\f(6)=-26[/tex]

Substituting x=1 in function [tex]\rm f(x)= -4x-2[/tex]

[tex]\begin{aligned}\rm f(1)&= -4(1)-2\\&=-6\end[/tex]

x=2

[tex]\begin{aligned} \rm f(2)&= -4(2)-2\\&=-10\end[/tex]

x=6

[tex]\begin{aligned}\rm f(6)&= -4(6)-2\\&=26\end[/tex]

Therefore the function [tex]\rm f(x)= -4x-2[/tex] defines the sequence.

Learn more about the topic here:

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