What is the volume of the following
rectangular prism?
2 units
units
7 1/3

Answer:

Step-by-step explanation:

x = 1 + 3i

x^2 = (1 + 3i)(1 + 3i)

x^2 = 1 + 6i - 9 = -8 + 6i

By a similar method

y = (x - i)

y^2 = x^2 - 2i*x + i^2

y^2 = x^2 - 2ix - 1

y^2 = -8+6i - 2i(1 + 3i) -1

y^2 = -8+6i -2i - 6i - 1

y^2 = -8 - 2i - 1

y^2 = - 9 - 2i

x^2 - y^2 = -8 + 6i - (9 - 2i)

x^2 - y^2 = -8 + 6i - 9 + 2i

x^2 - y^2 = -17 + 8i

Answer:

$2.18

$15.45-$2.37=$13.08

$13.08/6

$2.18

Answer:

18%

Step-by-step explanation:

I know this because i am a smoot person  l o l. Hope this helps!

Simplifying

2x + 9 + -10 = -5

Reorder the terms:

9 + -10 + 2x = -5

Combine like terms: 9 + -10 = -1

-1 + 2x = -5

Solving

-1 + 2x = -5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + 2x = -5 + 1

Combine like terms: -1 + 1 = 0

0 + 2x = -5 + 1

2x = -5 + 1

Combine like terms: -5 + 1 = -4

2x = -4

Divide each side by '2'.

x = -2

Simplifying

x = -2

I hope it helps you

Answer:

g (-1) = (-1)² = 1

f(g(-1)) = f(1)

f(1) = 1 - 7 = -6

[tex]\boxed{\underline{\bf \: ANS WER}}[/tex]

[tex] \sf \frac{6}{x} = 18 \\ [/tex]

Variable x cannot be equal to 0 as division by zero is not defined. Multiply both sides of the equation by x.

[tex] \sf \: 6=18x [/tex]

Swap sides so that all variable terms are on the left-hand side.

[tex] \sf \: 18x=6 [/tex]

Divide both sides by 18.

[tex] \sf \: x=\frac{6}{18} \\ [/tex]

Reduce the fraction [tex] \sf\frac{6}{18}[/tex] to its lowest terms by extracting and cancelling out 6.

[tex] \sf \: x=\frac{1}{3} \\ [/tex]

[tex] \sf \: x=\frac{1}{3}\approx \boxed{\underline{0.33... }}\\ [/tex]

______

Hope it helps.

ᏒᎯᎨᏁᏰᎾᏯᏕᎯᏝᎿ2222

Answer:

5yz

Step-by-step explanation:

1st expression=10xyz

=5*2*x*y*z

2nd expression=15(y)2 (z)2

=5*3*y*y*z*z

therefore H.C.F=5yz

underlines are taking common.

Answer:

Step-by-step explanation:

Given,

There are 3 girls for every 2 boys

So,

For every 1 girl

[tex] = \frac{2}{3} \: boys [/tex]

Therefore,

For every 21 girls,

[tex] = \frac{2}{3} \times 21 \: boys[/tex]

= 14 boys (Ans)

Answer:

28

Step-by-step explanation:

it is increasing by 5 then 6,7,8,9...

Answer:

28

Step-by-step explanation:

Answer:

i believe that answer would be D

Step-by-step explanation:

Welcome to Brainly! I'm happy to help!

We see that there are 1,610 meters in a mile. However, we are looking for millimeters, not meters. But, knowing the meters will help us out.

A millimeter is a very small measurement. There are 1,000 millimeters in 1 meter. A meter is much larger. So, if we want to convert 1,610 meters to millimeters, there are going to be way more millimeters because they are so minute.

This means that we will have to multiply. We know that there are 1,000 millimeters in 1 meter, so if we multiply our meters by 1,000 (which is basically just adding 3 zeros), we will get the number of millimeters in one mile!

1,610×1,000=1,610,000 (one million six hundred and ten thousand!)

Don't forget that we are looking for 3 miles though, so we can take the number of millimeters in one mile and multiply by three.

1,610,000×3=4,830,000 (four million eight hundred and thirty thousand!)

So, Tobias ran 4,830,000 millimeters!

Have a wonderful day and keep on learning! :D

The stacked boxes would be 2.72 feet tall

The height of the stacked box is the sum of the lengths of the two boxes

1 4/11 is a mixed number and it has to be converted to a decimal

A mixed number is a number that has a whole number and a proper fraction.

A proper fraction is a fraction is which the numerator is less than the denominator.

The whole number is 1 and the proper fraction is 4/11

To convert to a decimal, divide the numerator by the denominator. Add this number to the whole number

4/11 = 0.36

1 + 0.36 = 1.36 feet

Height of the stacked boxes = 1.36 + 1.36 = 2.72 feet

To learn more about decimals, please check:

https://brainly.com/question/18657762?referrer=searchResults

Answer:

(8,0)

and infinite number of ordered pairs make the equation

true 4,4 ... 5,3 ... 9,-1 ....

the solution can be said to be the loation where the graph crosses the x axis that point is (8,0)

Step-by-step explanation:

Answer:

Just divide 2/3 by 3 (or multiply by 1/3), 6 times to get the answer.

Answer:

-315

Step-by-step explanation:

Plug in 5 as a and -7 as b into the term:

9ab

9(5)(-7)

Multiply:

= -315

So, the answer is -315.

[tex]\huge\boxed{\textsf{Hey there!}}\\\\\\\huge\boxed{\mathsf{9ab}}\\\huge\boxed{\mathsf{= 9(5)(-7)}}\\\huge\boxed{\mathsf{= 45(-7)}}\\\huge\boxed{\mathsf{= -315}}\\\huge\boxed{\frak{Answer: -315}}\huge\checkmark\\\\\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

√8 < √9 = 3

and

√42 > √36 = 6

which means the positive integers between √8 and √42 are 3, 4, 5, and 6, and their sum is 18.

A solution to a system of equations are where the two lines cross over each other.

System A the graph shows one line which means the two lines are on top of each other. This means any point on the lines are a solution so there are infinite number of solutions.

System B, the lines cross at one point is there is only one solution which is at (-3,2)

System C the two lines are parallel to each other and never cross so there are no solutions.

Step-by-step explanation:

(i) Infinite solution

If there is only one line then it is a infinite solution.

(ii) One solution

Both are intersecting each other.

Solving

-x - 1 = x + 5

-x - x = 5 + 1

-2x = 6

x = 6/-2

x = -3

y = -x + 5

y = -3 + 5

y = 2

(iii) No solution

Because they are parallel to each other

Answer:

A. b2 – 4ac = 0

Step-by-step explanation:

Hey user☺☺

Option a is correct

Because the graph has only one solution.

As the graph touches the x-axis at one point that means that it will have only one solution for x. But we know that a quadratic equation has two solutions. So the graph will have two equal solution and therefore the discriminant will be 0.

Hope this will help☺☺

Answer:

answer is D

Step-by-step explanation:

i promise good luck

Answer:

d

Step-by-step explanation:

change the fractions into improper fractions

then multiply nominators by nominators

then same for denominators

then simplify

Answer:

5

Step-by-step explanation:

Dont ask why i think its 5 mph

Answer:

Line segment. (That's what I know)

Step-by-step explanation:

There are two points on the ends, so its a line segment. I think thats it

Answer:

7 + b/5 = 4

OR

b/5 + 7 = 4

Step-by-step explanation:

also, b = -15

Answer:

Rational numbers are those numbers that are integers and can be expressed in the form of x/y where both numerator and denominator are integers whereas irrational numbers are those numbers which cannot be expressed in a fraction. ... The denominator of a rational number is a natural number(a non-zero number).

Answer:

Rational

Step-by-step explanation:

A rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] ← where a and b are integers

Given

1.304

= 1 + [tex]\frac{304}{1000}[/tex]

= [tex]\frac{1304}{1000}[/tex] ← as a rational number

Answer:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

Step-by-step explanation:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

Answer:

0.13, 0.6, 0.7

Step-by-step explanation:

Basically when comparing a decimal from least to greatest look at the tenths place. Whoever's is the smallest, is the smallest decimal. Then you look at the second smallest etc. If two tenths are the same then you would compare the hundredths place so on.

Answer:

523.2 students

Step-by-step explanation:

87.2%×600=523.2 students

Answer:

523.2

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

x > 2

Step-by-step explanation:

Distribute and cross-simplify 1/2 with parenthesis

4x + x + 2 > 12

Solve left side

5x + 2 > 12

Subtract 2 from both sides

5x > 10

Divide both sides by 5

x > 2

Answer:

triangles that have the same size and shape.