Answers
Answer:
[tex]3m\sqrt[5]{2m^4p^4}[/tex]
Step-by-step explanation:
We want to find the fifth root of [tex]486m^9p^4[/tex]. In order to do so, we need to factorise
Let's factorise 486 first:
486 = 2 * 243 = 2 * [tex]3^5[/tex]
Ah, we see that [tex]3^5[/tex] can be taken out and becomes 3 outside of the 5th root since the 5th root of
Now look at the variables. We see that since we have p^"4", whose exponent is less than 5, it's impossible for us to write it as a power of 5, so we leave this in the root.
We also have m^"9", which can be written as m^"5" * m^"4". Again, we see that the m^"4" term will have to remain inside the root, but we can take out the m^"5", which becomes m.
Our final answer is thus: [tex]3m\sqrt[5]{2m^4p^4}[/tex].
~ an aesthetics lover
Related Questions
whats the missing variable in the equation:2(x+5)-7 = 3(x-2)
show work please
(20 points)
Answers
Answer:
x=9
Step-by-step explanation:
2(x+5)-7 = 3(x-2)
2x+10-7=3x-6
2x+3=3x-6
2x=3x-9
-x=-9
x=9
alejandro rosario or mattia polibio?
Answers
Answer:
Alejandro Rosario
Step-by-step explanation:
he is just really cute, well both of them are, but his personality seems nice.
Answer:
ale
Step-by-step explanation:
PLEASE HELP ON THIS QUESTION! I WILL MARK YOU BRAINLIEST IF CORRECT :) TYY
Answers
Answer:
no it's not a reflection
Step-by-step explanation:
a reflection would not be upside down like that, it would be the same thing rotated
WILL MARK THE BRAINLIEST!!!!!
[only answer the 2nd and the 3rd]
Answers
Answer:
2. 120 cm^2
3. 3,750 cm^2
Step-by-step explanation:
To find the surface area of a rectangular prism, find the surface area of each side, then add them together.
2. There are two different shapes of faces on this prism (as with all rectangular prisms). One face's surface area has a measure of 4 cm by 6m. To find the surface area of that face, multiply each side length. 4 * 6 = 24. Let's call this length A.
Then, find the surface area of the other face. The other face has a measurement of 4 cm by 3 cm. 4 * 3 = 12. Let's call this length B.
Now, find the amount of each face on the prism. Length A appears 4 times: the front, back, top, and bottom are all the same shape. Length B appears 2 times: the left and right sides. Therefore, multiply length A's surface area by 4 and length B's surface area by 2.
24 * 4 = 96
12 * 2 = 24
Lastly, add both numbers together.
96 + 24 = 120
Adding the label, we get the final answer: 120 cm^2.
3. Now, apply the same steps to problem #3.
One face has a measurement of 45 cm by 25 cm. This means that the surface area of that face is 1,125 cm. Let's call this length A.
The other face has a measurement of 15 by 25. This means that the surface are of that face is 375 cm. Let's call this length B.
Length B appears 4 times, and length A appears twice. Evaluating 375 * 4, we get 1,500. Evaluating 1,125 by 2, we get 2,250.
Lastly, adding 2,250 to 1,500 and adding the label, we get the final answer: 3,750 cm^2.
The following octagon is formed by removing four congruent right triangles from a rectangle. What is the total area of
the octagon?
44 cm 2
52 cm 2
10 cm 2
58 cm 2
Answers
10cm^
To find the total area of the octagon, we need to find the area of the rectangle and subtract the areas of the four congruent right triangles that were removed.
Let's assume the length of the rectangle is L and the width is W.
The area of the rectangle is L * W.
The two smaller sides of the right triangle are congruent to the width of the rectangle, which is W. The hypotenuse of each right triangle is congruent to the length of the rectangle, which is L.
The area of a right triangle is (base * height) / 2. In this case, the base is W and the height is L.
So, the area of one right triangle is (W * L) / 2.
Since there are four congruent right triangles, the total area of the right triangles is 4 * (W * L) / 2 = 2 * (W * L).
Therefore, the total area of the octagon is (L * W) - 2 * (W * L).
The total area of the octagon = L * W - 2 * W * L.
We don't know the actual values of L and W, so we cannot calculate the exact area. However, we can simplify the expression.
The total area of the octagon = L * W - 2 * W * L = LW - 2WL = LW - 2WL = LW - 2WL = LW.
Therefore, the total area of the octagon is equal to the area of the rectangle.
Emma can run 4.5 miles in 36 minutes. How many miles can she run in 2 hours if she keeps a constant pace?
Answers
Answer:
13.34
Step-by-step explanation:
Answer:
15 miles is the answer, I hope this helps
Step-by-step explanation:
1. Set up a proportion
2. Convert 2 hours to 120 minutes
3. Cross multiply then divide the remaining number in the proportion
3√27+10 What is the value of the expression?
Answers
Answer:
Exact Form:
9
√
3
+
10
Decimal Form:
25.58845726
Step-by-step explanation:
4) If z/3 = 6, what is z equal to?
Answers
Answer:
z/3 = 6
multiply both sides by 3
z/3 * 3 = 6*3
z = 18
The lowest point of elevation in the United States is at Death Valley National Park in California at 282 feet below sea level. The Dead Sea in Israel is 1,360 feet below sea level. Write a division expression that could be used to find how many times greater the Dead Sea lies below sea level than Death Valley. Then determine how many times greater. Round to the nearest whole number.
Answers
Answer:437
Step-by-step explanation:I took the test
The product of (x+p)(x+q) can be written as x^2+(p+q)x+pq.
An intermediate step in this multiplication is
x^2+px+qx+pq=x^2+(p+q)x+pq.
Explain why px+qx=(p+q)x.
I'm Really confused please help!
Answers
Answer:
[tex]px+qx=(p+q)x[/tex] by taking out the common factors.
Step-by-step explanation:
It is given that the product of [tex](x+p)(x+q)[/tex] is [tex]x^2+(p+q)x+pq[/tex].
Given expression is
[tex](x+p)(x+q)[/tex]
Using distributive property, we get
[tex]x(x+q)+p(x+q)[/tex]
[tex]x(x)+q(x)+p(x)+p(q)[/tex]
[tex]x^2+qx+px+pq[/tex]
In middle terms px and qx the highest common factor is x. So taking out common factor from middle terms we get
[tex]x^2+x(q+p)+pq[/tex]
It can be written as
[tex]x^2+x(p+q)+pq[/tex]
Therefore, [tex]px+qx=(p+q)x[/tex] by taking out the common factors.
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:
Answers
Answer:
80? bc yhu cant use solution a because it only has 35...i think
Step-by-step explanation:
if im wrong sorry
The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.
From the information given, we can set up the following equations:
Equation 1: The total amount of solution is 90 ounces, x + y = 90
Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90
Simplifying Equation 2:
0.35x + 0.80y = 36
To solve these equations, we can use substitution or elimination. Let's use the substitution method.
From Equation 1, we can express x = 90 - y and substitute it into Equation 2:
0.35(90 - y) + 0.80y = 36
31.5 - 0.35y + 0.80y = 360
45y = 4.5y = 10
Substituting y = 10 back into Equation 1:
x + 10 = 90
x = 80
Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
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PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Let ABCD be a trapezoid with bases AB and CD. Let AD=5 and BC=7, and let P be a point on side CD such that CP/PD=7/5. Let X,Y be the feet of the altitudes from P to AD, BC respectively. Show that PX=PY.
Answers
Answer:
I think you should google this because I found the answer there and i am not able to put the link here sorry :(.
Step-by-step explanation:
A concert hall sells tickets in three different price ranges. For each price range, there are both adult and child
rates.
Concert Hall Prices
Adult Child
Rates.
Which statement describes the relationship between the adult ticket prices (a), in dollars, and the child ticket
prices (c), in dollars?
Answers
Each child price is 1/4 of the adult one, so the equation would be adult price•1/4= child price. Or, c=1/4a (both the equations do the same thing)
A dice has the numbers 1-6 on it. Which of the events below has a higher probability of occuring?
а
an odd number
b
an even number
C
a number less than 5
d
a number greater than 3
Answers
Answer:
a number less than five
Answer:
So the number that has the greatest probability is a
Number less than 5
Step-by-step explanation:
odd numbr is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]
Even number is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]
a number less than 5 is [tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex]
A number greater than 3 is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]
Mr. Massy started baking cupcakes at 7:15 a.m. The cupcakes finished baking at 7:40 a.m. How long did it take the cupcakes to bake?
Answers
Answer:
25 minutes
Step-by-step explanation:
If the cupcakes started baking at 7:15, then it takes 25 minutes to get to 7:40.
Answer:
he took 25 min
Step-by-step explanation:
40-15 =25
The table represents the temperature of a cup of coffee over time.Which model best represents the data set? exponential, because there is a relatively consistent multiplicative rate of change exponential, because there is a relatively consistent additive rate of change linear, because there is a relatively consistent multiplicative rate of change linear, because there is a relatively consistent additive rate of change
Answers
Answer:
A. exponential, because there is a relatively consistent multiplicative rate of change
step-by-step explanation:
edge
Answer:
This question is multiple choice and the answer would be A
Step-by-step explanation:
I just took it its correct
A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:
Exactly two balls are yellow
Answers
Answer:
1/6 is the probability. im pretty sure
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
Answers
So every time you add 15 people, the cost increases by 105.
At 0 people it will be 370-105=265
Answer:
D. $265
Step-by-step explanation:
Help please
0.3 [. ] 0.4
What is the decimal
<,> or =
Answers
Please please please please please please thank please please please help me please ASAP
Answers
Answer:
4
Step-by-step explanation:
3x^2 + 2(y-1)/x+y^2
3(4)^2 + 2(3-1)/4+3^2
3x16+2x2/4+9
48+4/13
52/13
4
There are 18 girls and 24 boys who want to play a game. Each team will have both boys and girls on it. The ratio of boy and girls has to be the same for each team. Everyone must participate in the game. If the girls and boys form the greatest number of teams possible, how many boys will be on each team? *
Answers
Answer:
3:4 Ratio of Girls to Boys
Step-by-step explanation:
what is the additive inverse of 129/7?
Answers
Answer:
-129/7
Step-by-step explanation:
The additive inverse of a number is what you add to a number to create the sum of zero
129/7 + x = 0
It is the opposite of 129/7
-129/7
The chart below shows the distribution of weeds in a yard.
A circle graph titled Lawn weeds. The largest proportion is crab grass, then dandelion, then clover, then chickweed.
A lawn-care specialist chooses a random sample from the yard and determines the number of weeds in the sample. The results of the sample are shown in the table below.
Weed Type
Number
Dandelion
2
Clover
3
Crab Grass
2
Chickweed
2
Which explains whether or not this is a representative sample?
Yes, this is a representative sample because each type of weed is represented in the sample.
Yes, this is a representative sample because each type of weed is represented approximately the same number of times in the sample.
No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
No, this is not a representative sample because each type of weed should be represented exactly the same number of times in the sample.
Answers
Answer:
Its c,No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Which of the following is an equation?
x+y
2x – 7 = 13
3x + 5y > 9
3x + 5y - 9
Answers
Solve the equation
8/x + 3 = 1/x + 1
Answers
Answer: I got the answer of -7/2
Step-by-step explanation:
8
x
+3=
1
x
+1
Multiply all terms by x and cancel:
8+3x=1+1x
3x+8=x+1(Simplify both sides of the equation)
3x+8−x=x+1−x(Subtract x from both sides)
2x+8=1
2x+8−8=1−8(Subtract 8 from both sides)
2x=−7
2x
2
=
−7
2
(Divide both sides by 2)
x=
−7
2
Check answers. (Plug them in to make sure they work.)
x=
−7 /2
(Works in original equation)
Answer: -7/2
Using multiplication, the equation has the solution is -7/2.
What is multiplication?
The multiplication is "the process of multiplying one number is to multiply to its certain number of times".
According to the question,
[tex]\frac{8}{x} + 3 = \frac{1}{x} +1[/tex]
[tex]\frac{(8+3x)}{x} = \frac{1+x}{x}[/tex]
8 + 3x = 1 + x [By cancel 'x' on both denominator]
8 - 1 = x - 3x
7 = -2x
x = - [tex]\frac{7}{2}[/tex]
Hence, using multiplication the equation has the solution is -7/2.
Learn more about multiplication here
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Which function can be used to model the graphed geometric sequence?
f(x + 1) = Five-sixthsf(x)
f(x + 1) = Six-fifthsf(x)
f(x + 1) = Five-sixths Superscript f (x)
f(x + 1) = Six-Fifths Superscript f (x)
Answers
Answer:
f(x + 1) = Five-sixths Superscript f(x)
Step-by-step explanation:
Answer:
The answer is A. f(x + 1) = Five-sixthsf(x)
Step-by-step explanation:
Can someone help me find the solution or coordinates of these equations algebraically ?
y= -x^2 +4
y= 3x+4
Answers
Answer:
The solutions are (0, 4) and (-3, -5).
Step-by-step explanation:
Yes, first substitute y = 3x + 4 in the first equation:
3x + 4 = -x^2 + 4
x^2 + 3x = 0
x(x + 3) = 0
x = 0, -3
When x = 0 , y = -(0)^2 + 4 = 4 and
when x = -3 , y = -(-3)^2 + 4 = -9 + 4 = -5.
MARKING BRAINLIEST
Desiree has a box of grease pencils. 8 are green, 10 are yellow, 9 are brown, and 5 are blue. What is
the probability of Desiree selecting a green grease pencil at random, replacing it back into the box, and
then selecting a yellow grease pencil?
a 5/62
b 18/64
c 5/64
d 6/20
Answers
Step-by-step explanation:
Total marbles = 8 + 9 + 10 + 5 = 32.
Probability of green pencil= 8 / 32 = 1 / 4
Probability of yellow = 10 / 32 = 5 / 16
• Over-reliance on oil also increases economic unpredictability. When oil prices drop, as is presently the case, the related
decline in revenue requires cuts in public spending, which hurts growth in the non-oil sector and leads to lower public
employment
-adapted from Economic Diversification in Oil-Exporting Arab Countries, International Monetary Fund (April 2016)
Which of these statements best supports this argument?
ОА. Saudi Arabia does not export enough oil.
B. Saudi Arabia's oil supply is controlled by private corporations.
C. Saudi Arabia produces too little oil.
OD
Saudi Arabia's oil supply is controlled by the government.
Reset
Next Question
Answers
Answer:
B. Saudi Arabia's oil supply is controlled by private corporations.
Step-by-step explanation:
This is the best answer and is saying they are too reliant on other countries oils.
Answer:
B
Step-by-step explanation:
Circle O has a circumference of 36 cm.
What is the length of the radius, m?
06 cm
18 cm
36 cm
72 cm
Answers
Answer:
5.73 The closest answer is probably 6
Step-by-step explanation:
Answer: The radius is 5.73 CM so the answer is A, 6.
Step-by-step explanation: The radius is equal to one half the diameter
Pi times the diameter equals the circumfrence. so we do
36/3.14/2
