the equivalent expression is:
60*x^8
Which is option B.
How to get the equivalent expression?
Here we start with:
4*x^2*√(5x^4)*3*√(5x^8)
Remember that square roots are distributive, then we can just write:
(4*3)*(x^2)*(√(5x^4)*√(5x^8))
12*x^2*√(25x^12)
Now, the square root can now be solved
12*x^2*√(25x^12) = 12*x^2*5*x^6
= (12*6)*(x^2*x^6)
Remember that in the right side, the exponents just add, then we get:
(12*6)*(x^2*x^6) = 60*x^{2 + 6} = 60*x^8
Then the equivalent expression is:
60*x^8
Which is option B.
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You are given a rectangular sheet of metal that is 32 inches by 24 inches. You are required to cut a lenght from each corner of the sheet so that you may fold up the ends and create a box. What is the domain of the function you will use to find the volume of the box? Explain your answer.
Answer: 768
Explanation In order to find the domain you have to multiple 32 by 24 which gives you 768.
What is the measure
of ZA, in degrees?
20
Jeremiah dad Ordered five large pepperoni pizzas in each large cheese pizzas for the birthday party he spent a total of 144 on pizza if a pepperoni pizza cost 12 right and solve a linear equation to find the cost of a cheese pizza
This question is incomplete because part of the information is missing; here is the complete question:
Jeremiah's dad ordered 5 large pepperoni pizzas and 8 large cheese pizzas for the birthday party. He spent a total of $144 on pizza. If a pepperoni pizza costs $12, write and solve a linear equation to find the cost of a cheese pizza.
The answer to this question is $10.50
Explanation:
The first step to solve this problem is to write a linear equation. In this, the unknown should be represented by an x, and other variables should be included using correct mathematical symbols. Here is the process:
1. In an equation there is always an equality symbol = and mathematical expressions on both sides.
2. In this situation, the value after the = symbol should be 144 or the total spend on pizzas.
3. The values missing should be expressed as 5 (12) + 8x because there are 5 pepperoni pizzas and each of these costs $12; also, this should be added to the 8 cheese pizza and x represents the missing value (the price of a cheese pizza.)
4. Solve the equation
5 (12) + 8x = 144 -Simplify using multiplication
60 + 8x = 144 - Solve by moving the number to the right side and changing the symbol
8x = 144 - 60
8x = 84
x = 84 ÷ 8
x = 10.5
Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 2.2 × 105 words.
A father receives a postcard from his son who is
away at college. It simply reads
SEND
MORE
MONEY
The father is slightly upset that this is all his son
wrote but noticed something interesting. If each
letter is replaced with a single and unique digit, it
would make a true addition statement. The father
replies that he would send money if his son could
figure out what digit each letter would represent.
Answer:
S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2
Step-by-step explanation:
The given letters are;
SEND
MORE
MONEY
If we are to add the first two words to get the third word, then we have;
SEND + MORE = MONEY
Where, the letters are unique digits
The maximum value of M = 1, because, the two words are in thousands and their sum is in tens of thousands, they can make up to only a 10
Therefore, S = 9
O = 0
D + E = 10 + Y
1 + N + R = 10 + E
1 + E = N
∴ 1 + N + R = 10 + E gives;
1 + 1 + E + R = 10 + E
R = 10 + E - (1 + 1 + E) = 8
R = 8
We have;
9 XXX + 108X = 10XXX
From 1 + N + R = 10 + E, we have;
1 + N + 8 = 10 + E
END + RE = NEY
E(1 + E)D + 8E = (1 + E)EY
(1 + E)EY - E(1 + E)D = 8E
10 + Y - D = E
By trial and error, we have;
If Y = 2 and D = 3, we have E = 9 which is not unique
Y = 4 and D = 3, we have E = 11 which is a double digit
Y = 2 and D = 7, we have E = 5
∴ N = 6 which is unique
Trying the combination gives;
S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2
SEND + MORE = MONEY → 9567 + 1085 = 10652 which is correct.
Whats 2+2 tho
Cuz i uh forgot..yea
Answer:
I gotchu fam ..... 2+2=4
by combining like terms
4x2 - 3x + 11 -2x
Answer:
-5x +19
Step-by-step explanation:
That's the answer
evaluate −5x+8 when x=3.
Answer:
-7
Step-by-step explanation:
-5(3) +8
-15+8
7
Answer:
plug x in
-5 (3) + 8
-15 + 8
-7
Step-by-step explanation:
You only have nickels and dimes in your piggy account. The total comes to 595 cents. What are the three combinations of nickels and dimes you could have?
Answer:
59 dimes and 1 nickel
54 dimes and 11 nickels
1 dime and 117 nickels
Step-by-step explanation:
i know this from using the equation [tex]5n+10d=595[/tex] the n is nickels and the d is dimes
look at the picture &’ help.
Step-by-step explanation:
the first option is the answer because the exponent always stands base 10 power a value or (10^n)
Which equations are equivalent
Answer:
Step-by-step explanation:
wheres the picture?
n the pictured triangle, ∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?
Step-by-step explanation:
can u also attach the pictured triangle so we can know it exactly
The earth's crust is:
1.broken into several plates
2.floating on top of the mantle
3.made of granite and basalt
4.all of the above
Answer:
Well ummmmm 1
Step-by-step explanation:
Answer:
All of the above because we know that the earths crust is above the mantle AND that there are several plates, and I read in an article that the earth is made of basalt and granite
I also got this right on a test in odsseyware:-)
Step-by-step explanation:
HELP PLSSSSSSSSS I BEG U
Mark starts a rock climb when he is 1 mile above sea level. He can climb at the rate of 1.5 miles per hour. Which of the following functions would express Mark's height above sea level over time?
A. f( x) = 1.5 x
B. f( x) = 2.5 x
C. f( x) = 1 + 1.5 x
Answer:
C.
Step-by-step explanation:
Its C because you start out at 1 mile above sea level, then each time Mark climbs he goes up 1.5 miles per hour. f(x)= 1(starting point) + 1.15x (miles per hour).
Helps me solve this problem please
Answer:
I think it would be -2 or h(x)=-2
Step-by-step explanation:
because if x=3 then that would be 5 x 3 and that would be 15 so 15-17=-2
hope this helps if not sorry!! :)
Given the following function, find f(-2), f(0), and f(1).
f(x) = 5x +5
f(-2) =
Answer:
f(-2) = -5
f(0) = 5
f(1) = 10
Step-by-step explanation:
f(-2) = 5(-2) + 5 → -10 + 5 = -5
f(0) = 5(0) + 5 → 0 + 5 = 5
f(1) = 5(1) + 5 → 5 + 5 = 10
which form most quickly reveals the vertex?
choose 1 answer:
a. g(x)=-2x^2-16x-14
b. g(x)=-2(x+4)^2+18
c. g(x)=-2(x+1)(x+7)
what is the vertex?
vertext= (___,___)
Answer:
The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18 ⇒ b
The vertex = (-4, 18)
Step-by-step explanation:
The vertex form of the quadratic function f(x) is:
f(x) = a(x - h)² + k, where
a is the coefficient of x²(h, k) are the coordinates of the vertex pointThe most quickly reveals to find the vertex is the vertex form above
Look at the answer and try to find a similar form to the vertex form above
∵ g(x) = -2(x + 4)² + 18
∴ a = -2
∴ h = -4
∴ k = 18
⇒ That means this form is similar to the form above
∴ The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18
∴ The vertex = (-4, 18)
help me please!!!!!!!!!!!!!!!!!
im not for sure but Step-by-step explanation: 3,000=102938884.00919377299
Answer:
3,000=102938884.00919377299
Step-by-step explanation:
HELP PLS HOW DO U DO THIS
Answer:
10
Step-by-step explanation:
1/3 of 24 is 8, and 1/4 is 6. 8+6=14, and 24-14=10. So I think that 10 people brought chips.
Answer:
10
Step-by-step explanation:
24 ÷ 3 = 8 so one third is 8
24 ÷ 4 = 6 so one fourth is 6
8 + 6 = 14 (14 people brought drinks or dessert)
24 - 14 = 10
ten people brought chips.
A line has a slope of
1/4
and passes through the point (0.2,
4/5
Find the value of b, the y-intercept.
b = ???
Answer:
b = 3/4
Step-by-step explanation:
Using point slope: y - y1 = m(x - x1).
Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.
0.2 = 1/5, so 1/5 * 1/4 = 1/20
Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4
b = 3/4
Using point slope: y - y1 = m(x - x1).
Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.
0.2 = 1/5, so 1/5 * 1/4 = 1/20
Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4
can someone help me!!!
Answer:
x=81
Step-by-step explanation:
Simplify by factoring out the gcf only answer if you’re sure about the awnser ;)
Answer:
−3⋅(7n+1)
Step-by-step explanation:
The gcf is 3
POLYNOMIALS QUESTION!!!
Answer:
The new area of the smaller rectangle is 16 - x² units²
Step-by-step explanation:
The dimensions of the small rectangles are 2 + x and 2 - x
∵ The length of the small rectangle is 2 + x units
∵ The length is adding by 2 units
∴ The new length = 2 + x + 2 = 4 + x units
∵ The width of the small rectangle is 2 - x units
∵ The width is adding by 2 units
∴ The new width = 2 - x + 2 = 4 - x units
∵ Area of the rectangle = length × width
∴ The new area of the smaller rectangle = (4 + x) × (4 - x)
→ Simplify it by multiplying the 2 brackets
∵ (4 + x)(4 - x) = (4)(4) + (4)(-x) + (x)(4) + x(-x)
∴ (4 + x)(4 - x) = 16 + (-4x) + 4x + (-x²)
→ Remember (+)(-) = (-)
∴ (4 + x)(4 - x) = 16 - 4x + 4x - x²
→ Add the like terms
∴ (4 + x)(4 - x) = 16 - x²
∴ The new area of the smaller rectangle is 16 - x² units²
A football team scored a total of 41 points in a Sunday game. They scored 7 points in the first quarter, 10 points in the second quarter, and 7 points in the third quarter. How many points did the team score in the fourth quarter?
41 - 7 - 10 - 7 = 41 - 24 = 17.
The team scored 17 points in the last quarter.
Given the function g(x)=x^2+3 ,evaluate (-2,y)
Answer:
im not sure if this is what you're looking for but g=x^4 and the y intercept is g(0)=0
Step-by-step explanation:
In eight minutes josh was able to type 496 words what’s he typing speed per minute
Answer: 62 words per minute.
Step-by-step explanation: 496/8=62.
Answer:
62 words per minute
Step-by-step explanation:
divide 496 and 8
I need help pls!!! Eeeeeek
Answer:
first
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
3(2x+4)=-18
What is x and how do you solve
Answer:
x=1
Step-by-step explanation:
divide by 3 and then -4 and then divide by 2
Write the function using (x, y) when moving right 7 and down 9.
Your answer
Answer:
7,-9
Step-by-step explanation:
move 7 right from 0 and -9 down from 0
Construct a line through R that is perpendicular to the line
Answer: just did it 3 secs. ago
Step-by-step explanation:
The answer is shown below.
Perpendicular:In simple geometry, two geometric objects cross at a right angle ( [tex]90^{0}[/tex]degrees or [tex]\frac{\pi }{2}[/tex] radians ) if they are perpendicular to one another.If two lines cross at a right angle, they are said to be perpendicular to one another. A first line is explicitly said to be perpendicular to a second line if the two lines meet and the straight angle on one side of the first line is cut by the second line into two congruent angles at the point of junction.Therefore, the Construction of a line through R that is perpendicular to the line is shown below:
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