Answers
Answer:
[tex]4\sqrt{7}a^3[/tex]
Step-by-step explanation:
[tex]\sqrt{112a^6} \\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\\\\=\sqrt{112}\sqrt{a^6}\\\\=4\sqrt{7}\sqrt{a^6}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{bc}=\left(a^b\right)^c\\\\a^6=a^{3\times\:2}=\left(a^3\right)^2\\\\=4\sqrt{7}\sqrt{\left(a^3\right)^2}\\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a\\\\\sqrt{\left(a^3\right)^2}=a^3\\\\=4\sqrt{7}a^3[/tex]
Related Questions
A presidential candidate plans to begin her campaign by visiting the capitals in 3 of 42 states. What is the probability that she selects the route of three specific capitals?
Answers
Answer as a fraction = 1/68880 which is exact
Answer in decimal form = 0.0000145 which is approximate
=======================================================
Explanation:
Let's call these three cities A, B, and C
There is only one order ABC out of 42*41*40 = 68,880 different possible three city routes to pick from.
So the probability is 1/68880
If you want the answer in decimal form, then use your calculator to find
1/68880 = 0.0000145 approximately
Using the probability concept, it is found that there is a 0.000087 = 0.0087% probability that she selects the route of three specific capitals.
-------------------------
A probability is the number of desired outcomes divided by the number of total outcomes.The order in which the capitals are chosen is not important, which means that the combination formula is used to find the number of total outcomes.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
1 desired outcome.The total number of outcomes is a combination of 3 from a set of 42, thus:[tex]T = C_{42,3} = \frac{42!}{3!39!} = 11480[/tex]
The probability is:
[tex]p = \frac{1}{11480} = 0.000087[/tex]
0.000087 = 0.0087% probability that she selects the route of three specific capitals.
A similar problem is given at https://brainly.com/question/4037372
A worker uses 560 inches of steel wire to make 350 springs of the same size. At this rate how many inches of steel wire are needed to make 1 spring?
Answers
Answer:
1.5 inches of steel
Step-by-step explanation:
450/300
=1.5 in.
Please help will give 50 points
Answers
Answer:
1. A) Contradiction2. C) Identity3. z = ( - oo, 7)Step-by-step explanation:
1. Simplifying
4(x + 3) = -7(6 + 2x) + 18x4x + 12 = -42 - 14x + 18x4x + 12 = 4x - 42The left and right sides are different so the answer is:
A) Contradiction2. Simplifying
5(x - 9) + 10x = 6x + 9(x - 5)5x - 45 + 10x = 6x + 9x - 4515x - 45 = 15x - 45The left and right sides are identical so the answer is:
C) identity3. Solving inequality:
-2( -3z + 3) < 2z + 226z - 6 < 2z + 224z < 28z < 7z = ( - oo, 7)Answer:
1. A) Contradiction
2. C) Identity
3. z = ( - oo, 7)
(Before you answer I am looking for how I do it. I have the answers but I need to know an equation to do this instead of using logic)
The sum of two consecutive even numbers is 30. How can you solve for the 2 numbers?
Answers
Answer:
14 and 16.
Step-by-step explanation:
We know that two consecutive even numbers is 30.
Let's let n be any number.
Then the first even number must be 2n.
This is because n can be any number, either even or odd. However, if we multiply it by 2, this ensures that 2n is even. Remember that any number multiplied by 2 yields an even number.
Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.
We know that they sum to 30. So, we can write the following equation.
[tex](2n)+(2n+2)=30[/tex]
And we solve from there:
[tex]4n+2=30\\\Rightarrow4n=28\\\Rightarrow n=7[/tex]
So, the value of n is 7.
Therefore, the first even number is 7(2)=14.
And the consecutive even number is 16.
Edit: Typo
Pennies are packaged 50 in a roll. A mother gave her son 95 pennies for his bank and had 5 pennies left over. How many rolls of pennies did she use?
Answers
Answer:
2
Step-by-step explanation:
Because if she added those pennies it would be 100 pennies total. And since 100 divided by 50 is 2 the correct answer is 2
Answer:
she used 2 rolls of pennies
Step-by-step explanation:
in order to do this question, you have to add 95 with 5 to get 100 pennies, then you divide 100 with 50 in order to get 2, this means that the mother used 2 rolls of pennies.
A food company produced 65 pounds of a new cereal. The marketing department wants to put the cereal into 4-ounce promotional boxes that will be given away for free. Assuming that the food company wants to use up all 65 pounds of the new cereal, will the marketing department need to order more than 260 4-ounce boxes? Defend your response.
Answers
Answer:
yes
Step-by-step explanation:
rewrite it as a function and isolate y.
Answers
Answer:
f(x) = -5x + 16
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
y + 5x = 16
Step 2: Put into slope-intercept form
Subtract 5x on both sides; y = -5x + 16Step 3: Rewrite in function notation
f(x) = -5x + 16
2. Trapezoid WXYZ is located at W(2.1) X[3.
5) Y(6.5) and Z[7. 1). After being translated 6
Units down, what are the new coordinates
of Point Y?
Answers
Point Y is (6, -1)
Subtract 6 from the y coordinate in point y since it is translated down. keep the x coordinate since it is only being translated up and down, or by the y axis
how do i solve integrals?
Answers
Answer:
Step-by-step explanation:
So the integral of 2 is 2x + c, where c is a constant. An "S" shaped symbol is used to mean the integral of, and dx is written at the end of the terms to be integrated, meaning "with respect to x". This is the same "dx" that appears in dy/dx . To integrate a term, increase its power by 1 and divide by this figure.
If somone could please give me the step by step explanation and the answers.
Answers
Answer:
If MP is bisector then
LMP= NMP = LMN/2= 112/2= 56
Michael's mom loves Bright Scents candles. A 4-inch candle will burn for 8 hours. Michael bought his mom a 10-inch candle for Mother's Day.
If Bright Scents candles all burn at the same rate, how many hours will the 10-inch candle burn?
Answers
Answer:
20 hours Have a nice day
The student council has $289 to spend on decorations for the fall festival. If decorations for each table cost $13, how many tables can they decorate?
Answers
answer:
22 tables
explanation:
you have to divide on this one!
so,
13 divided by 289 is:
22
so,
the student council can decorate:
22 tables!
hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)
find the domain for f(x)=x+1/x-2
Answers
Answer:
the domain is: ( − ∞ , 0 ) ∪ ( 0 , ∞ ) , { x | x ≠ 0 }
Step-by-step explanation:
Darius cuts out a square hole that is 6 inches long each side what is the area of the frame?
Answers
The area of the square hole having a side length of 6 inches is 36 inches².
What are the dimensions of a square?The area of a square is a product of it's any two sides or a product of diagonals divided by two. If side has a length a then diagonal is a√2.
The perimeter of a square is the sum of the lengths of all the sides.
Given, Darius cuts out a square hole that is 6 inches long each side.
We know the area of a square is (side×side).
Therefore, The area of the square hole having a side length of 6 inches is = (6×6) = 36 inch²
learn more about squares here :
https://brainly.com/question/28776767
#SPJ2
Solve for all values of x by factoring
x^2-7=-3
Answers
Answer:
x=2
Step-by-step explanation:
The first step is to add 7 to both sides leaving you with
x^2=4
then root both sides the square root of 4 is 2 so
x=2
X-yz for x=-2 y=5 solve for z
Answers
Answer:
-5z - 2
Step-by-step explanation:
x - yz when x = -2 and y = 5
-2 - 5z
Since we don't have any like terms and an equal sign, we can't simplify any further.
Best of Luck!
What additional information is needed to prove the triangles are congruent by SAS ?
EA¯¯¯¯¯≅CD¯¯¯¯¯
EB¯¯¯¯¯≅CB¯¯¯¯¯
∠BEA≅∠BCD
∠EAB≅∠CDB
Answers
Answer:
Answer choice B was correct
Step-by-step explanation:
Line segment EB is congruent to line segment CB. I took the test.
Math geometry pls help:)
Find all missing angles
Answers
Answer:
m<1 = 51 degrees
m<2 = 18 degrees
m<3 = 123 degrees
m<4 = 39 degrees
Step-by-step explanation:
To solve this problem, let's first try to find the measure of angle 1.
To do this, we must remember that the sum of the interior angles of a triangle must equal 180 degrees. Using this knowledge, we can set up the following equation:
72 + 57 + m<1 = 180
Our first step in solving this equation is to simplify the left side by adding together the two constant terms.
129 + m<1 = 180
Next, we can subtract 129 from both sides of the equation.
m<1 = 51 degrees
Now, we can solve for angle 2.
We can see that angle 2 and the angle measuring 72 degrees together make a right angle, which is 90 degrees. From this observation, we can set up the following equation:
m<2 + 72 = 90
To solve, we subtract 72 from both sides of the equation.
m<2 = 18 degrees
Now, we can solve for angle 3.
We can see from the diagram that angle 3 and the angle measuring 57 degrees are supplementary. This means that their sum should equal 180 degrees, and the two angles together make a straight line. This lets us set up the following equation:
m<3 + 57 = 180
To solve, we subtract 57 from both sides of the equation.
m<3 = 123 degrees
Finally, we can solve for angle 4.
We can solve for angle 4 using the same strategy we used to solve for angle 1. Our equation for angle 4 is as follows:
m<2 + m<3 + m<4 = 180
18 + 123 + m<4 = 180
Let's first simplify the left side of the equation.
141 + m<4 = 180
We can subtract 141 from both sides of the equation as our next step.
m<4 = 39 degrees
Therefore, the correct answers are m<1 = 51 degrees, m<2 = 18 degrees, m<3 = 123 degrees, and m<4 = 39 degrees.
Hope this helps!
How many days are in 1 millennia? I will mark the first correct answer brainliest!
Answers
Answer:
365000
Step-by-step explanation:
/
Triangle PQR is rotated 180° clockwise about point M. The image of point P is P' and the image of point R is R'. What are the coordinates of the image point Q
Answers
Answer: C= (1,2)
Step-by-step explanation:
Answer: The correct answer is c
Step-by-step explanation:
Two cyclists start from the same point at the same time and move in opposite directions. One cyclist is traveling at 7 mph, and the other cyclist is traveling at 11 mph. After 30 min, how far apart are the two cyclists? mi Need Help? Read it Watch
Answers
Given parameters:
Speed of Cyclist 1 = 7mph
Speed of Cyclist 2 = 11mph
Time of travel = 30min = 0.5hr(60min = 1hr)
Unknown:
Distance separating them = ?
To solve this problem, we must understand that speed is the distance per unit time traveled.
Mathematically;
Speed = [tex]\frac{Distance}{Time}[/tex]
Now we are to find the distance separating the two cyclists;
Distance = speed x time
To find the distance separating the two cyclists, find the sum of their individual distances covered.
Distance separating them = Distance covered by cyclist 1 + Distance covered by cyclist 2
Now input the parameters;
Distance of separation = (7 x 0.5) + (11 x 0.5) = 3.5 + 5.5 = 9miles
The distance separating them is 9miles
Question 2
Keep the triangle that you created in Question 1. You will now copy the triangle to a different location on the grid using two of its sides
included angle:
• In a different place on the grid, draw a new line segment of the same length as one of those recorded in Question 1. (This will be e
you draw the new line segment parallel or perpendicular to the corresponding line segment in the original triangle.)
• At one of the endpoints of the new line segment, create an angle using the angle measurement that you recorded in Question 1.
• Once you've created the angle, draw a ray through it.
• Identify the other line segment you recorded in Question 1. On the ray, make a line segment equal in length to the identified segm
way to do this is to draw a circle with a radius equal to the segment length. Then place a point at the intersection of the ray and the
• Finish copying the triangle by drawing a polygon through the three points you created.
You should now have two triangles on the grid. What do you notice about the two triangles in terms of their size and shape?
В І U x?
Font Sizes A- A - E 3
X
Answers
Answer:
The triangles appear to be the same size and shape.
Step-by-step explanation:
edmentum
The triangles appear to be the same size and shape.
What are the 3 principal types of triangles?In line with internal angles, there are three sorts of triangles i.e., acute, right, and obtuse-angled triangle. according to the period of aspects, triangles can be categorized into 3 classes i.e., Scalene, Isosceles, and Equilateral triangle.
What are the six elements of a triangle?The six factors of a triangle are its 3 angles and the 3 facets. the line segment becoming a member of a vertex of a triangle to the mid factor of its opposite side is called a mean of the triangle. A triangle has three medians.
Learn more about triangles here: brainly.com/question/1675117
#SPJ2
Write y= -472 -167-14 in vertex form.
Answers
Answer: l used to know that
Step-by-step explanation:
.07231 x 3.20 I need help quick
Answers
Answer: 0.231392
Step-by-step explanation:
Answer: .231392
you can use a calculator right?
which number below has a value between 6.2 and 6.9
Answers
Answer:
6.21-6.89
Step-by-step explanation:
13.1 because when you add them up, you have to cary some over tothe ones, thus, making it 13.1
PLEASE HELP!!! Justify each step in solving the equation (WILL GIVE BRAINLIEST!)
Answers
3. Add variables
4. Subtraction of integers
5. Division of integer
Can you guys help me answer these two questions on percentage please ❤️❤️
Answers
Answer:
Question 2- 9
Question 3- 75%
Step-by-step explanation:
A rectangle has perimeter 60cm and length 24cm. What is its width?
PLZ HELP
Answers
Answer: w = 6
Step-by-step explanation:
The formula will be w = [tex]\frac{p}{2}[/tex] - l
So it would be w = [tex]\frac{60}{2}[/tex] - 24
Simplify
w= 30-24
Simplify
w = 6
~I hope I helped you! :)~
a/b=a solve for b
thank yu luv x
Answers
Answer: b= a/b
Step-by-step explanation:
Answer:
It's a=b/a meaning b=1
Step-by-step explanation:
a cancels itself out, leaving b, that = 1
What is the TOTAL BALANCE *
A $1633.50
B $5989.50
C $6253.60
Answers
Because the 7.5% of 4356 is 326.7 and you pay interest every year, and in the question it is asking for your balance in 5years so you multiply 326.7 by 5 and you get 1633.5 then you add that to the savings account and you get 5989.50, the equation is y=4356+326.7x
