Answer:
27x^3+48x^2-99x
Step-by-step explanation:
The total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
It is given that:
Two rectangular box are shown in the picture.
The volume of the rectangular box = length×width×height
The total volume of the two boxes = (x+3)(x+5)3x + 2x(3x+9)(4x-8)
After simplification:
= 3x³ + 24x² + 45x + 24x³ + 24x² - 144x
= 27x³ + 48x² - 99x
Thus, the total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.
Learn more about the rectangular prism here:
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Given f(x) = 5x - 4, find f(2).
Answer:
6
Step-by-step explanation:
f(x)=5x-4
f(2)=5(2)-4
10-4=6
Find the area of the circle given the radius. Round to the
nearest hundredth when necessary.
r = 16.5 in
x+2/2x+3=y+1 rearrange and make x the subject
Answer:
x = y/2 - 1
Step-by-step explanation:
Solve for x:
2 x + 3 = y + 1
Hint: | Isolate terms with x to the left hand side.
Subtract 3 from both sides:
2 x = y - 2
Hint: | Solve for x.
Divide both sides by 2:
Answer: x = y/2 - 1
Which of these graphs do not represent constant rates of change? Check all that apply
Answer:
A and B
Step-by-step explanation:
Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
y = -3 ÷ 2x - 3
Step-by-step explanation:
As it can be seen that the line is passed by y-axis at -3.
Now we have to determine the slope
For this, use the following formula
= (x2 - x1) ÷ (y2 - y1)
At
(-2, 0), (0, -3)
So,
= (-3-0) ÷ (0+2)
= -3 ÷ 2
Now
Put in the following equation
y = mx + b.
where,
m = slope
b = y-intercept
So,
y = -3 ÷ 2x - 3
what is the opportunity cost of one gun in this nation
Write the expression using a positive exponent 8^-5
Answer:
1/8^5 is the simplified answer
Step-by-step explanation:
3x(x+30°) i really need help asap
A13x2+390x here is the answer
Answer:
x=15
Step-by-step explanation:
Simplifying
x + 30 = 3x
Reorder the terms:
30 + x = 3x
Solving
30 + x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
30 + x + -3x = 3x + -3x
Combine like terms: x + -3x = -2x
30 + -2x = 3x + -3x
Combine like terms: 3x + -3x = 0
30 + -2x = 0
Add '-30' to each side of the equation.
30 + -30 + -2x = 0 + -30
Combine like terms: 30 + -30 = 0
0 + -2x = 0 + -30
-2x = 0 + -30
Combine like terms: 0 + -30 = -30
-2x = -30
Divide each side by '-2'.
x = 15
Simplifying
x = 15
pls help this is due in 30 min
Thank you sm
2120
Question #7MultipleChoice
Show Answer
Subtract the following fractions. (Reduce answers to lowest terms.)
3/10 - 1/4=
3/14
3/6
1/2
1/20
Answer:
1/20
Step-by-step explanation:
3/10 - 1/4
First, convert the fractions to a common denominator:
3/10 *2/2 = 6/20
1/4 * 5/5 = 5/20
Now put them back into the equation and solve:
6/20 - 5/20 = 1/20
Another way to do this:
3/10 - 1/4
Convert the fractions into decimals:
3/10 = 0.3
1/4 = 0.25
substitute back into the equation and solve:
0.3 - 0.25 = 0.05
convert back into fractions:
0.05 = 1/20
Your answer should be a polynomial in standard form.
(q^2-2q+5)(q^2-5)=
Answer:
q⁴ - 2q³ + 10q - 25
Step-by-step explanation:
Step 1: Write out expression
(q² - 2q + 5)(q² - 5)
Step 2: Distribute
q⁴ - 2q³ + 5q² - 5q² + 10q - 25
Step 3: Combine like terms
q⁴ - 2q³ + 10q - 25
A boy flying a kite lets out 300 feet of string. The height of the kite is 185 feet. What is the angle
formed between the string and the ground?
Answer:
The string, the height and the ground form a right triangle
The hypotenuse = 300
height =185 = opposite side
sine of the angle = 185 / 300 = 0.6166666667
arc sine (.616666666666) =
38.073 degrees
Step-by-step explanation:
what has an infinite number of points and lines on a flat surface.
Answer: a plane
Step-by-step explanation: A flat surface made up of points that extends infinitely in all directions. There is exactly one plane through any three points that are not on the same line. Two dimensions with length (infinite) and width (infinite).
y varies directly with x, and y=24 when x=-15. what is x when y=16? a) 10 b) -22.5 c) -10 d) -25.6
Answer:
c
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 24 when x = - 15, then
24 = - 15k ( divide both sides by - 15 )
k = [tex]\frac{24}{-15}[/tex] = - [tex]\frac{8}{5}[/tex] = - 1.6 , thus
y = - 1.6x ← equation of variation
When y = 16, then
16 = - 1.6x ( divide both sides by - 1.6 )
x = - 10 → c
I NEED HELP ASAP 40 POINTS
Answer the following questions.
1) Choose the correct name for the set of numbers.
{..., – 3, -2, - 1,0, 1, 2, 3, ...}
whole numbers
integers
rational numbers
natural numbers
real numbers
irrational numbers
Answer:
integers
they include all whole numbers and their negative counterpart
Answer:
Step-by-step explanation:
the correct name for the set of numbers is integers numbers.
arun had 50 rupees if he had spent 3 by 5 of his money on an alarm clock how much money is he left with him
Answer:
total money=rupees 50
3/5 of 50= rupees 30
money he spent = rupees 30
money he's left with =50-30=20
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Answer:
Step-by-step explanation:
like u told me social studis
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if Kyle's terrarium had a volume of 64 ft3 ,what would the edge length be?
Answer:
4 ft
Step-by-step explanation:
Volume of a cube = [tex]x^{3}[/tex] (where x equals the side/edge length)
V = [tex]x^{3}[/tex]
64 = [tex]x^{3}[/tex]
64 divided by 3 = 4 ft
What is -2(x + 3 ) = -2x-6
Answer:
0 = 0 (infinite solutions)
Step-by-step explanation:
-2(x+ 3) = -2x - 6
Multiply -2 to x and 3
-2x -6 = -2x - 6
Add 2x on one side to get zero, and add 6 to the other side to get 0
0 = 0
There are infinite solutions
HELP PLEASE
what is the slope of the function
Answer:
1/2 probably
Step-by-step explanation:
I am doing math homework and need some assistance solving, 2(2t+4)=3/4(24-8t)
Answer:
They are equal
Step-by-step explanation:
If you do 2 plus 4 in the parentheses then that equals 6 and 6t time 2 is 12t because the t doesnt have a value therefore it sticks onto the answer and if you convert the 3/4 into .75 then you can subtract the 24 by 8t and get 16 then when you multiply the 16 by 3/4 it will take .75 off of 16 and the answer is the same therefore they are equal equations.
stadium already has 250 people in it at noon.If 35 people per minute enter the stadium,how many are in the stadium at 1:30 p.m. when a concert is supposed to begin?
Answer:
3,400 people
Step-by-step explanation:
First, find how many minutes are between noon and 1:30 pm
This is an hour and 30 minutes, so it will be 90 minutes
Then, multiply 90 by 35, since 35 people enter per minute
90(35)
= 3150
Then, add the 250 people that were already in it
3150 + 250
= 3400
So, there will be 3,400 people in the stadium
Answer:
3400
Step-by-step explanation:
250+35m=noon
Help me plz !!!!!!!!!!!!!!!!!!!!!
Answer:
letter b. 30% decrease
What is the simplest form of 63/91
Answer:
Step-by-step explanation:
9/13
divide them by 7
Which step is the most efficient way to find the solution of x + 4 > -8? Answer choices: A: Add 4 to both sides. B: Subtract 4 from both sides and switch the inequality symbol. C: Substitute 1 for x and see if it works. D: Subtract 4 from both sides.
Answer:
d
Step-by-step explanation:
The most efficient step to finding the solution to the given inequality is, to subtract 4 from both sides. Option D is correct.
Given that,
To determine which step is the most efficient way to find the solution of x + 4 > -8.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Given inequality,
x + 4 > -8
Subtract 4 from both sides,
x + 4 - 4 > - 8 - 4
x > -12
Thus, the most efficient step to finding the solution to the given inequality is, to subtract 4 from both sides. Option D is correct.
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Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume
of the ramp?
7.5 m3
11.5 m
1 m
4 m
28 m
2 m
3.5 m
15 m
Answer:11.5
Step-by-step explanation:I’ve done this in a test before and that is the correct AnSwEr
5. If x^1/2 =8, what is the value of x?
The product of Bart's age and 26 is 338. Write and solve a multiplication equation to find Bart's age. Yeah
Answer:
13 years old
Step-by-step explanation:
A product is 2 numbers that are multiplied together.
So, to find the unknown number, simply divide 338 by 26
338/26=13
Bart is 13 years old.
For questions 1 - 6, solve each quadratic equation.
1. (x + 5)(x - 2) = 0
2. (3x - 1)(2x + 5) = 0
3. x^2-3x -4 = 0
4.2x^2 -5x - 3 = 0
5. x^2 - 16 = 0
6.9x^2 - 25 = 0
Answer:
1. -5
2. 1/3 (1 third)
3. -3
4. -1\2 (negative one and a half)
5.-4
6. 1.66666
Step-by-step explanation:
1. Let's solve your equation step-by-step. ( x + 5 ) ( x − 2 ) = 0 Step 1: Simplify both sides of the equation. x 2 + 3 x − 10 = 0 Step 2: Factor left side of equation. ( x − 2 ) ( x + 5 ) = 0 Step 3: Set factors equal to 0. x − 2 = 0 or x + 5 = 0 x = 2 or x = − 5. <—— this is for the first explanation
2. Step 1: Simplify both sides of the equation. 6 x 2 + 13 x − 5 = 0 Step 2: Factor left side of equation. ( 3 x − 1 ) ( 2 x + 5 ) = 0 Step 3: Set factors equal to 0. 3 x − 1 = 0 or 2 x + 5 = 0 x = 1 3 or x = − 5 2 Answer: x = 1 3 or x = − 5 2
<———— this is for the second explanation
3.Step 1: Factor left side of equation. ( x + 1 ) ( x − 4 ) = 0 Step 2: Set factors equal to 0. x + 1 = 0 or x − 4 = 0 x = − 1 or x
<———- this is for the third explanation
4.Step 1: Factor left side of equation. ( 2 x + 1 ) ( x − 3 ) = 0 Step 2: Set factors equal to 0. 2 x + 1 = 0 or x − 3 = 0 x = − 1 2 or x = 3
<—————- this is for the fourth explanation
5. Step 1: Add 16 to both sides. x 2 − 16 + 16 = 0 + 16 x 2 = 16 Step 2: Take square root. x = ± 16 x = 4 or x = − 4
<—————- this is for the fith explanation
6. Step 1: Add 25 to both sides. 9 x 2 − 25 + 25 = 0 + 25 9 x 2 = 25 Step 2: Divide both sides by 9. 9 x 2 9 = 25 9 x 2 = 25 9 Step 3: Take square root. x = ± 25 9 x = 1.666667 , − 1.666667
<—————- this is for the sixth explanation
Hope this helps :)
Jenna's retirement party will cost $9 if she invites 3 guests. If there are 5 guests, how much will Jenna's retirement party cost? Assume the relationship is directly proportional.
Answer:
$15
Step-by-step explanation:
3 guest = $9 (9/3 = 3 so each guest is $3)
so
5 guest = $15 (3 x 5 = 15)
The product (x + 3y)(3x – y) =
Answer: 3x²-3y²+8xy
Step-by-step explanation:
When you multiply two factors, you want to use the FOIL method.
First
Outer
Inner
Last
(x+3y)(3x-y) [distribute by FOIL]
3x²-xy+9xy-3y² [combine like terms]
3x²+8xy-3y² [rewrite]
3x²-3y²+8xy
Now, we know the product is 3x²-3y²+8xy.