Answer:
[tex]\sqrt[3]{x^2}[/tex]
Step-by-step explanation:
The rule of exponents says that we must use subtraction for [tex]\frac{5}{6}[/tex] and [tex]\frac{1}{6}[/tex] since we are dividing.
Thus, we have [tex]\frac{x^\frac{5}{6} }{x^\frac{1}{6} }\\\\\frac{5}{6}-\frac{1}{6}=x^\frac{4}{6}=x^\frac{2}{3}[/tex]
When dealing with fractions and radicals, we can find the simplest radical form by using the saying [tex]\frac{exponent}{index}[/tex]
Thus we have [tex]\sqrt[3]{x^2}[/tex]
The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. What is the area of the roof? What is the lateral area of the roof?
Answer:
The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2
Step-by-step explanation:
The area of the roof is computed by the equation of the area of a cone:
A = πr(r + [tex]\sqrt{h^{2}+r^(2) }[/tex])
(r: radius, h: height, πr^2 is the area of the base of the cone, πr[tex]\sqrt{h^{2}+r^(2) }[/tex] is the lateral area of the cone). So:
A = [tex]15\pi (15 + \sqrt{30^{2} +15^{2} } )[/tex] ≈ 2287.44 ft^2.
As I stated earlier, the lateral area of the roof can be computed:
A[tex]L[/tex]=[tex]15\pi \sqrt{30^{2} +15^{2} }[/tex] ≈ 1580.58 ft^2.
How many quarts are in 9 gallons?
Answer:
1 gallon = 4 quarts
4 × 9 = 36
36 quarts are in 9 gallons
How many solutions does this system have?
y=-3x
-9x-4y = 21
one
two
an infinite number
no solution
Solve
4x957+8465x563+834
please help i need an answer for my homework
Answer:
the answer should be 477,0457 if x means multiply but if not you are not putting the equation in a correct way
Answer:
4770457
you just need to calculate them
2/3 of the pizza was left over last night. Then, Marcy ate another 2/9 of it. How much is left over now?
Answer:
4/9 is left over.
Step-by-step explanation:
First make the denominators the same. 2/3=6/9. 6/9-2/9=4/9.
50 points!!
Solve |y + 2|>6
A. {y|y<-8 or y>4}
B. {y|y<-6 or y>6}
C. {y|y<-4 or y>4}
Answer:
[tex]y < -8[/tex]
[tex]y > 4[/tex]
Step-by-step explanation:
Absolute Value Inequality entered :
|y+2|>6
Step by step solution :
Step 1: Rearrange this Absolute Value Inequality
Absolute value inequalitiy entered
|y+2| > 6
Step 2: Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |y+2|
For the Negative case we'll use -(y+2)
For the Positive case we'll use (y+2)
Step 3: Solve the Negative Case
-(y+2) > 6
Multiply
-y-2 > 6
Rearrange and Add up
-y > 8
Multiply both sides by (-1)
Remember to flip the inequality sign
y < -8
Which is the solution for the Negative Case
Step 4: Solve the Positive Case
(y+2) > 6
Rearrange and Add up
y > 4
Which is the solution for the Positive Case
Step 5:
Wrap up the solution
y < -8
y > 4
Solutions in Interval Notation
(-∞,-8)
(4,+∞)
Solutions on the Number Line
Two solutions were found :
y > 4
y < -8
expand the following
1. ( m+n)(10m-4n)
2.(6x+y)
hope it helps....!!!!!
Jackson bought cupcakes for his sister's birthday party. 72 out of the 96 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?
Write your answer using a percent sign (%).
Solve for p.
3(p + 4) = 48
A. 13
B. 12
C. 14
D. 19
Step-by-step explanation:
3 ( p + 4 ) = 48
3p + 12 = 48
3p = 48 - 12
3p = 36
p = 36 ÷ 3
p = 12...
What the value of q?
Step-by-step explanation:
this is very simple.
you can compare this to the question "in my bag are 70 pieces of fruit. 30 of them are apples. how many pieces of other fruit are there ?"
well, it is 70 - 30 = 40 !
that's it ! that is all there is to it.
so, q = 40°
what is still unclear, please ?
What is the value of x?
Enter your answer in the box.
X =
Answer: x=20
Step-by-step explanation:
(6x-10)=(3x+50) (subtract both sides by 3x)
3x-10=50(add ten to both sides)
3x=60(divide both sides by 3)
x=20
Help to get the answer
if A varies direct as a square of R. Find the % increase in A if R is increase by 20%.
Answer:
20%
Step-by-step explanation:
A=R^2
120/100
=1.2
1.2R= new value of R
original of R=R
A^1/2=R
change/origionalx100%
(1.2A^1/2-A^1/2)
-------------------- x 100%
A^1/2
A^1/2 (1.2-1)
--------------- x100%
A^1/2
0.2
---- x100
1
0.2x100
=20%
Which prism has the greatest volume?
Show Your Work
Sin
12 in
7
85
O ant
Answer:
D, the last prism, with a volume of 512cm^3
Step-by-step explanation:
A: 5 x 7 x 12 = 420
B: 8.5 x 11 x 3 = 280.5
C: 3 x 13 x 11 = 429
D: 8 x 8 x 8 = 512
512 is the biggest. D.
Please let me know if I mis-read any of the numbers - it's quite hard to see.
If you need further explanation, let me know!
- profparis
784x44=? Step by step.
Answer:
34496
Step-by-step explanation:
i dont know how 2 explain this but you have to do the traditional way of multiplying PLS MARK BRAINLIEST
A basket contains 4 pears, 1 pineapple, 5 bananas, 3 oranges, and 2 limes.
vin randomly selects one piece of fruit from the basket. What is the
robability that he selects an orange from the basket?
Answer:
3/15
Step-by-step explanation:
there is 15 kinds of fruit totally
4 + 1 + 5 + 3 + 2 = 5 + 5 + 3 + 2 = 10 + 3 + 2 = 13 + 2 = 15
there are 3 oranges; therefore the bility that an orange will be picked is 3 out of 15
Which expression is equivalent to 8(a+3)
Answer:
8a + 24
Step-by-step explanation:
Use Distributive property: a(b +c) = a*b + a*c
Here a = 8 ; b= a & c = 3
8(a + 3) = 8*a + 8*3
= 8a + 24
Find the value of x in this equation.
Answer: 5
Step-by-step explanation:
what is 0.0981 rounded to the nearest tenth of a percent
Answer:
0.1 percent
Step-by-step explanation:
sorry I don't have an explanation. sorry if it's wrong, at least I tried
Answer:
0.1
Explanation:
It's right
HELPPPPPPPP 50PTSSSSSS!!!!!!!!!
#1
Paved area:-
L(12)=205-7(12)=205-84=121mi#b
Let's see
205-7d=1567d=205-1567d=49d=7daysAnswer:
(a) 121 miles
(b) 7 days
Step-by-step explanation:
Given function:
[tex]\sf L(d)=205-7d[/tex]
Question (a)
When d = 12:
[tex]\sf \implies L(12)=205-7(12)[/tex]
[tex]\sf =205-84[/tex]
[tex]\sf =121 \ miles[/tex]
Therefore, the crew has 121 miles left to pave after 12 days.
Question (b)
When L(d) = 156
[tex]\sf \implies 156=205-7d[/tex]
[tex]\sf \implies 7d=205-156[/tex]
[tex]\sf \implies 7d=49[/tex]
[tex]\sf \implies d=\pm\sqrt{49}[/tex]
[tex]\sf \implies d=\pm7[/tex]
As distance is positive, [tex]\sf d=7[/tex] only
Therefore, the crew has been paving the the road for 7 days.
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer:
y=-2x-2
Step-by-step explanation:
I'm guessing that the question is asking for the equation for slope-intercept for y=mx+b
Why? Well, the the slope formula is rise/run. As you can see, if you look the y-coordinate is consistently going down (negative) by two, and the x-coordinate it is going right by 1 every time and makes a triangle shape. You can actually draw it if you want to. And the -2 would be the y-intercept. (Exactly what it means, where the line means the y-axis)
Hope this helps! I explained this kinda weird but hopefully this is somewhat helpful.
Find the missing factor.______ x 7 = 2,800
A) 4
B) 40
C) 400
D) 4,000
Answer:
400
Step-by-step explanation:
[tex] \huge\mathbb\orange{ANSWER} [/tex]
[tex] \mathsf \purple{c) \: 400}[/tex]
The answer to this math question is?
Answer:
58 seconds
Step-by-step explanation:
Very very easy, no formulas or +,- required here.
You can see that the swim times go till 44 on the line, that is the lowest, that means the FASTEST swim time. But we need the slowest swim time. That we can find by finding where does the line end in the right side. We can see it ends between 56 and 60, and if we calculate, then we can find out that the bar in the middle represents 58, so hence, her slowest timing for her swim time is 58 seconds.
So hence, your answer is 58 seconds!
-------------------------------------------------------------------------------------------------------------
If you see someone without a smile, give them one of yours!
Thanks!
~MiniMeteorologist~
Have a great day!
:D
Find the exact length of side a
select a,b,c or d from the pictures, please help!
Answer:
D. 2√3Step-by-step explanation:
The given triangle is right because the side adjacent to 60° angle is half the length of the hypotenuse.
Side a = BC is opposite to ange A, its measure is:
BC/AC = √3BC = AC√3BC = 2√3Correct choice is D
Answer:
[tex]a=2\sqrt{3}[/tex]
Step-by-step explanation:
Side a is the side opposite angle A.
Side b is the side opposite angle B.
Side c is the side opposite angle C.
We have been given the lengths of 2 sides and the included angle.
Therefore, to find side a use the cosine rule.
Cosine rule
[tex]a^2=b^2+c^2-2bc \cos A[/tex]
where:
a, b and c are the sidesA is the angle opposite side aFrom inspection of the triangle:
side b = 2side c = 4angle A = 60°Substitute the given values into the formula and solve for a:
[tex]\implies a^2=b^2+c^2-2bc \cos A[/tex]
[tex]\implies a^2=2^2+4^2-2(2)(4) \cos 60^{\circ}[/tex]
[tex]\implies a^2=4+16-16\left(\dfrac{1}{2}\right)[/tex]
[tex]\implies a^2=4+16-8[/tex]
[tex]\implies a^2=12[/tex]
[tex]\implies a=\sqrt{12}[/tex]
[tex]\implies a=\sqrt{4 \cdot 3}[/tex]
[tex]\implies a=\sqrt{4}\sqrt{3}[/tex]
[tex]\implies a=2\sqrt{3}[/tex]
Therefore, the exact length of side a is 2√3.
Answer quickly help please !!
Answer:
z = 104°
Step-by-step explanation:
A straight line is 180° which helps us to solve this problem.
180° - 76° = 104°
This means that angle y will be 76° and x will be 104° because of vertical angles.
10 people put their names into 2 different drawings what is the probability the same person will win both?
Answer:
2/20 chance that they get both the prizes
Help anybody please help me
Answer:
3 units
Step-by-step explanation:
you count how many blocks they are from each other
u( w f +u ) = m + j
solve for u : u=
solve for f :F=
[tex]\textbf{Solve for u:}\\\\u(wf+v)=m+j\\\\\implies u = \dfrac{m+j}{wf+v}\\\\\textbf{Solve for f:}\\\\u(wf+v) = m+j\\\\\implies uwf+uv = m+j\\\\\implies uwf = m+j-uv\\\\\implies f=\dfrac{m+j-uv}{uw}[/tex]
6) Over the course of 17 weeks Tiffany collected 18 pounds of cans to recycle and Tom
collected 8 times as much as Tiffany. Tom then put his collection into 6 bags to take to
the recycling center. How many pounds of cans did Tom put into each bag?
Answer:
24 per bag
Step-by-step explanation:
18x8=144 then divide by 6= 144÷6=24
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest hundredth. (the spinner is 1-9)
The probability of spinning a 4, flipping heads, then spinning a 7 is
Answer:
1/162
Step-by-step explanation:
first spin 1/9
land heads 50/50
second spin 1/9
so (9 x 2) x 9
= 162
1
Answer:
1/162 or 0.62 % to the nearest hundredth.
Step-by-step explanation:
Prob(spinning a 4) = 1/9
Prob(spinning a 7) = 1/9
Prob(flipping a head) = 1/2
Required Probability = 1/9 * 1/2 * 1/9
1/162.