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
What is the volume of the right rectangular prism, in cubic centimeters? A prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters. cubic centimeters
The volume of the given rectangular prism is 108 cubic centimeters.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.
Given that, a prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters.
We know that, the volume of a rectangular prism = Length×Breadth×Height
= 4×3×9
= 108 cubic centimeters
Therefore, the volume of the given rectangular prism is 108 cubic centimeters.
To learn more about the rectangular prism visit:
https://brainly.com/question/27812749.
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Complete the following ratios:
Answer:
700/821, 429/821, 700/429
Step-by-step explanation:
SOH, CAH, TOA
Sin= opp/hyp
Cos= adj/hyp
Tan= opp/adj
I really need help with this
Answer:
Step-by-step explanation:
In the first case the function could become undefined as x approaches -3 or 3 from either direction. The vertical asymptotes are x = -3 and x = +3.
In the second case, there's only one vertical asymptote, because the denominator can be zero (0) only at x = 0.
1. which is greater value 0.4 3/4 0.15
2. which is least value 2 and 2/3, 2.45, 2 and 2/5
3.which is the greater value 3.95, 3 and 5/6, 3 and 4/5
ANSWER THEM ALLL
Two number cubes each have sides that are labeled 1 to 6. Jude rolls the 2 number cubes. What is the probability that the sum of the numbers on
cubes will equal 4?
Answer: 3
This is the answer if you think its wrong i don't know its correct i got it right
1
If f(x)= x2 and g(x)=
find g(1-1)).
1
2x+3
O A.
-1
OB.
1
1
25
Oc.
1
5
OD. 1
Answer:
1/5
Step-by-step explanation:
f(-1) = (-1)^2 = 1
g(f(-1) = g(1)
g(1) = 1/(2(1)+3) = 1/(2+3) = 1/5
Easy question!
What is 6(4+2)?
Answer:
36
Step-by-step explanation:
6(4+2)
6(6)
36
Answer:
36
Step-by-step explanation:
Hoping this helps!
Write a recursive formula for the following arithmetic sequence.
8, 5, 2, −1,
Answer:
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3
Step-by-step explanation:
A recursive formula allows a term in the sequence to be found from the previous term by adding the common difference to it.
Here d = 5 - 8 = - 3, thus
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 with a₁ = 8 ← recursive formula
Please help fast!!!
Fill in the missing value:
A.) 17
B.) 168
C.) 13
D.) 7
Answer:
13
Step-by-step explanation:
Use the pythagorean theorem where 12 squared plus 5 squared is the square of the hypotenuse. 12 squared is 144 and 5 squared is 25. 144+25=169. Taking the square root of 169 we get 13. Therefore the missing side is 13 units long.
Hope this helps! (Please mark Brainliest)
Answer: D.) 7
Step-by-step explanation:
What is the volume of the following rectangular prism?
Volume=______units^3[
Answer:
10 unit³
Step-by-step explanation:
Volume of the rectangular cube:
Area × lenght
Given ;
Area = 25/4 unit²
Length = 8/5 unit
Volume = Area × length
= 25/4 × 8/5
= (5 × 2) = 10 unit³
A caterer combines 3 quarts of orange juice, 5 pints of milk, and 5 cups of pineapple juice to make smoothies. How many cups can be filled with smoothies? Explain
Answer:
27 cups
Step-by-step explanation:
(3 quarts = 12 cups) (5 pints = 10 cups) (plus 5 cups) = 27 total
sandra cut her sandwich into 3 equal parts. she ate 1 part for lunch. what fraction of the sandwich did sandra eat for lunch?
1.
Which equation in point-slope form contains the point (-2, -6) and has slope -4?
y - 2 = -4(X-6)
y + 2 = -4(x + 6)
.
y + 6 = -4(x + 2)
y-6 = -4(x - 2)
Answer:
Step-by-step explanation:
y + 6 = -4(x + 2) is the point-slope form
y + 6 = -4x - 8
y = -4x - 14
Kyle spends $32.35 on a bag of soil and x tomato plants. The price of soil is $9.85 and the plants cost $1.25 each. How many plants did Kyle buy? Write and solve an equation.
please and thank you!
Solve for K: 40 + K = 56
K=
Answer:
k=16
Step-by-step explanation:
To solve this, we can isolate k.
40+k=56.
We can do this by subracting 40 from both sides.
40+k-40=k
56-40=16
k=16
First isolate or get k by itself by subtracting 40 from both sides.
That leaves us with k = 16.
To check our answer, substitute 16 back into the equation.
So we have 40 + (16) = 56 or 56 = 56.
Math question down below
Answer:
answer is A.
Step-by-step explanation:
divide price by amount of kg to see how much it cost per kg. Find the lowest answer by doing this to all answers. Don't forget to round to the nearest cent!
Write an equation in slope-intercept form for the line that passes through (−5,−2) and is perpendicular to the line described by y=5/3x+2.
Answer:
Step-by-step explanation:
y + 2 = (-3/5)(x + 5)
y + 2 = (-3/5)x - 3
y = (-3/5)x - 5
You put $550 in an account that
earns 2.5% annual interest
compounded quarterly. In how many
years will you have $1200?
Mental Math
Solve
119*121
Answer:
14399
Step-by-step explanation:
break it down yall
119=100+19
121=100+21
100*100=1000
19*21=4399
add em up
Which of the following best describes the equation below? y = 5x - 15
a.neither linear or non linear
b.non linear
c.both linear and non linear
d.linear
Answer:
D linear
Step-by-step explanation:
We can tell pretty easily that this is a linear equation. How? Look at the highest degree of x!
This means the highest exponent of x. It looks like we have 5x, which you can think of as 5x to the first power. Whenever the highest exponent is 1, the equation is linear.
Find the difference. Write your answer in standard form.
(5x3−3x+6)−(2x2−4x+8)
The difference is _______
Answer: 5x^3 + x-6
Step-by-step explanation:
The triangle shown below has an area of
40
4040 units
2
2
squared.
Find the missing side.
Answer:
x = 10 units
Step-by-step explanation:
The formula for the area of a triangle of base x and height h is A = (1/2)(x)(h).
Here A = (1/2)(x)(8) = 40, so 8x = 80 and x = 10 units
If we look at this triangle we can see the straight line (the height). We want to use the height to figure out the side? Well divide 40 with the height (8). And now you get 5(cause 5*8 is 40. duh)
True or false the focal length F is the directed distance from the vertex (h, k), to the focus of the parabola
Answer:
true
Step-by-step explanation:
Solve 2x2 + x - 6 = 0
{-3/2, 2)
{-2, 3/2)
Answer:
-24
Step-by-step explanation:
Frank will paint a wall that measures 10 feet by 14 feet what is the area of the wall that frank will paint
Answer:
140 ft squared
Step-by-step explanation:
Answer:
140 ft
Step-by-step explanation:
10 × 14 = 140 so the answer is 140 ft
What is the volume of the following triangular prism?
60 cm3
12 cm3
3.75 cm3
6 cm3
Answer:
what prism?
I've done the same test before so I know the answer is 6 cm3
Could you please include the picture of the prism next time?
Step-by-step explanation:
Answer:
Im a bit late but the answer us 6 cm3
Step-by-step explanation:
The formula to find the volume of a triangular prism is
(1/2 x length x width) x height
or in other words
base x height
The base is the triangle on the side of the prism.
For the data set 6, 5, 10, 11, 13, the mean, X, is 9. What is the standard
deviation?
Answer:
standard deviation = 3.0331
Step-by-step explanation:
You can solve for this two different ways.
If you have a TI-84 calculator or something similar, type all the data into list 1. Then click the stat button, then the calc button, then 1-vars stats. This will give you mean, standard deviation, median, mode, etc.
If you are solving by hand, find the different between each data point and the mean. Square these numbers and find the average. Then take the square root of that.
3^2 + 4^2 + 1^2 + 2^2 + 4^2 = 46
46/5 = 9.2
square root of 9.2 = 3.0331
Hope this is helpful!!!!!!!!!!! :)
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.
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:
Solve the following inequality in two ways and make a claim as to which
method is more efficient.
1/4 (8n - 12) < n + 2
Answer:
The solution of the given inequality n < 5
Step-by-step explanation:
Explanation:-
Given inequality
[tex]\frac{1}{4} (8 n -12 ) < n +2[/tex]
Step(i):-
Cross multiplication '4' we get
8 n - 12 < 4 ( n +2)
8 n - 12 < 4 n + 4×2
8 n - 12 < 4 n +8
Subtracting '4 n ' on both sides, we get
8 n - 4 n - 12 < 4 n - 4 n +8
4 n - 12 < 8
Step(ii):-
Adding ' 12 ' on both sides , we get
4 n -12 + 12 < 8 + 12
4 n < 20
Dividing "4' on both sides , we get
n < 5
The solution is n < 5
Conclusion:-
The solution of the given inequality n < 5
Bruce recorded how many chocolate he ate each day at work last week
Answer:
Not enough information to build an answer off of.
Step-by-step explanation: