Answer:
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5\sqrt{10c^3} }{3d^3}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{\frac{250c^3}{9d^6}}[/tex]
Required
Simplify to the simplest form
We start by splitting the square root
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250c^3}}{\sqrt{9d^6}}[/tex]
Expand
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250 * c^3}}{\sqrt{9 * d^6}}[/tex]
Further Split the square root
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{\sqrt{9}*\sqrt{d^6}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{3*\sqrt{d^6}}[/tex]
From laws of indices;
[tex]\sqrt[n]{a^m} = a^{\frac{m}{n}}[/tex]
This implies that
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{3*{d^{\frac{6}{2}}}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{3*{d^3}}[/tex]
Expand 250 to 25 * 10
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{25 * 10} * \sqrt{c^3}}{3*{d^3}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{25}*\sqrt{10} * \sqrt{c^3}}{3*{d^3}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5*\sqrt{10} * \sqrt{c^3}}{3*{d^3}}[/tex]
Combine the square roots
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5*\sqrt{10*c^3} }{3*{d^3}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5\sqrt{10c^3} }{3d^3}[/tex]
Solved
Answer:
its a
Step-by-step explanation:
i just did it
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $35. For one performance,
there were 65 tickets sold in all, and the total amount paid for them was $2125. How many tickets of each type were sold?
Answer:
30 $15 tickets and 20 $35 tickets
Step-by-step explanation:
What is the point-slope form of a line with slope -3 that contains the point (10,-1)?
A. y + 1 = 3(x+10)
B. y + 1 = 3(x-10)
C. y + 1 =-3(x-10)
D. x + 1 = -3(y -10)
Answer:
the point slope form is
y + 1= -3(x - 10)
solution is c
HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!
Answer: C, It stays the same.
Step-by-step explanation: If you simplify the ratio (the fraction) by canceling the t's, you get 2/1 or 2:1. This means that no matter the value of the variable t, the value of the expression will stay the same.
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is
designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5.
Assume that the groups consist of 16 couples. Complete parts (a) through (c) below.
a. Find the mean and the standard deviation for the numbers of girls in groups of 16 births.
The value of the mean is u =
(Type an integer or a decimal. Do not round.)
Answer:
The found values are:
μ = 8
σ = 2
Step-by-step explanation:
Following data is given in the question:
p = 0.5
n = 16
Consider that it follows binomial distribution:
For binomial distribution, the mean is the product or probability 'p' and and the sample size 'n' :
μ = p · n
μ = 0.5 · 16
μ = 8
For binomial distribution, the standard deviation is the square root of product of sample size 'n' and the probabilities 'p' and 'q'.
σ = √(n·p·q)
where q = 1 - p = 1 - 0.5 = 0.5
σ = √(16 · 0.5 · 0.5)
σ = √4
σ = 2
Please answer these simultaneous equations ASAP. Thank you (lots of points only for full answers)
Step-by-step explanation:
for number 4:
2x + 5y = -10
2x - y = 8
subtract it
6y = -18
y = 6/-18
y = -0.3
now go back to the first equation
2x + 5 x -0.3 = -10
2x -1.5 = -10
2x = -8.5
-4.25
x = -4.25, y = -0.3
hope this help
Answer:try to answer the rest on your own and if it is not clear, let me know
Step-by-step explanation:
Explain how you can determine that the following system has one unique solution – without actually solving the system.
2x+y=4
2y=6-2x
Answer:
Step-by-step explanation:
Well, first you'd have to get the equations in slope-intercept form in order to make it easier for you to see it in the bigger picture. 2x+y=4 would be y= 2x-4, and the other equation would be y= x-3. If you were to solve it, there would be one solution since the y's cancel out. If you graphed it, there would be a point of intersection, unlike when the lines are parallel if there's 0 solutions or only one line's there if there's infinitely many solutions.
Who described gravity mathematically
Answer:
I believe Isaac Newton did with a formula.
gravity(F=Gm1m2/ r2)
Hope this helps
Step-by-step explanation:
Answer:
Isaac Newton was the first man to do so.
Step-by-step explanation:
gravity(f=gm=1m2/ r2)
Hope this helped and please mark me brainliest!hi:) how to do question 5?
Answer:
a) Area of △ABC= 78.8cm² (3 s.f.)
b) AB= 17.3cm (3 s.f.)
c) h= 9.09cm (3 s.f.)
Step-by-step explanation:
Please see the attached picture for full solution.
Find the slope of the line that passes through (37, 57) and (38, -7).
Answer:
-64
Step-by-step explanation:
When given two points we can use the slope formula
m = (y2-y1)/(x2-x1)
= (-7 -57)/(38-37)
=-64/1
= -64
(35–34)(33+32) is divisible by 24;
problem decoded dude
answer is in attachment
What are the solution(s) to the quadratic equation 50 – x2 = 0?
A.x = +2V5
B.x = +63
C.x = +5V2
D.no real solution
Please help hurry :/
Answer:
±5 sqrt(2) =x
Step-by-step explanation:
50 – x^2 = 0
Add x^2 to each side
50 = x^2
Take the square root of each side
±sqrt(50) = sqrt(x^2)
±sqrt(25*2) = x
±sqrt(25)sqrt(2)=x
±5 sqrt(2) =x
Answer:
If you have to choose an alternative, it is C. [tex]x=5\sqrt{2}[/tex] is one of the solutions/roots of the quadratic equation, but the correct answer is actually [tex]x= \pm 5\sqrt{2}[/tex].
Step-by-step explanation:
[tex]50-x^2 = 0 \Rightarrow x^2=50[/tex]
[tex]x= \pm \sqrt{50}[/tex]
Once [tex]\sqrt{50} =\sqrt{2\cdot5\cdot 5}= 5\sqrt{2}[/tex]
[tex]x= \pm 5\sqrt{2}[/tex]
Which table represents a direct variation function?
4.(06.02 MC)
Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x - 4. (5 po
y = 3x + 7
y = 3x - 7
y =
x + 2
O y = fx-2
Answer:
y = 3x-7
Step-by-step explanation:
Lines that are parallel have the same slopes.
y = 3x-4 ---> y=mx+b (slope = m=3)
point-slope formula for a line: y - y1 = m(x-x1)
slope=m=3
(3,2)----> (x1,y1)
y - 2 = 3(x-3)
y - 2 = 3x-9
y = 3x-7
HURRY PLS!!!
which expression is equivalent to 3(b+ c) using only the distributive property?
3bc
3(c+b)
3b+3c
(b+c) • 3
Answer:
3b + 3c
Step-by-step explanation:
hope this helps you
Answer:
3(c+b)
Step-by-step explanation:
3(b+c) is essentially 3 times B+ 3 times c
and 3(c+b) is 3 times c + 3 times B
If the measure of angle 3 is equal to (2x + 6) and x = 7, which statements are true?
Check all that apply .
Answer:The measure of angle 6 is 20. The measure of angle 5 is 70. Angles 2 and 5 are complementary. Angles 1 and 4 are supplementary.
Step-by-step explanation:
Assume that when adults with smartphones are randomly selected, 49% use them in meetings or classes. If 30 adult smartphone users are randomly selected, find the probability that exactly 23 of them use their smartphones
Answer: 0.0013684
Step-by-step explanation:
Given the following :
Probability (p) = 49% = 0.49
Number of selected adults (n) = 30
Find the probability that exactly 23 use their smartphone.
The problem is abive can be solved using the binomial probability function.
Binomial probability :
P(X = x) = [n! / x! (n-x)!] * P^x * (1 - P)^(n-x)
At x = 23
P(X = 23) = [30! / 23! (30-23)!] * P^23 * (1-0.49)^(30-23)
P(X = 23) = [30! / 23! (7)!] * 0.49^23 * (0.51)^7
P(X =23) = (2035800) × 6.72203E−10
= 0.0013684
Use the fundamental theorem of algebra to explain how many roots your expression can have. How many real roots and how many complex roots are possible?
(X+12)^9.
Answer:
hi
Step-by-step explanation:
salem had to withdraw 28.50 from his bank account every week for 5 weeks to pay a purchase. what number represents a change in his bank account
Answer:
Okay so he had to withdraw 28.50 from his bank account every week so that means he withdrew 142.5 that in 5 weeks
Step-by-step explanation:
Can you help me please.
Step-by-step explanation:
[tex]a) \\ (8 \times {10}^{ - 3} ) \times (2 \times {10}^{ - 4} ) \\ = 8 \times 2 \times {10}^{ - 3} \times {10}^{ - 4} \\ = 16 \times {10}^{ - 3 - 4} \\ = 16 \times {10}^{ - 7} \\ = 1.6 \times {10}^{ - 6} \\ \\ b) \\ (6 \times {10}^{ 2} ) \div (3\times {10}^{ - 5} ) \\ \\ = \frac{6 \times {10}^{ 2}}{3\times {10}^{ - 5}} \\ \\ = \frac{2\times {10}^{ 2}}{ {10}^{ - 5}} \\ \\ = 2 \times {10}^{ 2 + 5} \\ \\ = 2 \times {10}^{7} \\ [/tex]
If Shane weighs 120 pounds and Johnny weighs 150 pounds.If Shanie gains 60 pounds will Shanie and Johnny be the same weight.
Answer:
shane is 120 pounds and johnny is 150 pounds
Step-by-step explanation:
shane 120 and johnny gains weight 60 pounds so 120 plus 60 that is both of the together is 180 hope this helps you i think they maybe be the same weight because together they are more
Answer:
No, Shane will be heavier
Step-by-step explanation:
120 > 150
120 + 60= 180
180 > 150
In a football game, the home team scored 1 touchdown and one extra point during every quarter. How many points did the home team have at the end of the game?
Answer:
28 points
Step-by-step explanation:
A touch down is 6 points and an extra point is 1 point
There are 4 quarters
6+1 = 7
4 quarters
4*7 = 28
They scored 28 points
Choose the correct simplification of the expression (5x^5)^2 5x^25 10x^10 25x^7 25x^10
Answer:
[tex]25x^{10}[/tex]
Step-by-step explanation:
[tex](5x^5)^2\\\\\text {Apply Rule: }(a*b)^n=a^n b^n\\\\(5x^5)^2=5^2(x^5)^2\\\\25(x^5)^2\\\\\text {Apply rule: } (a^b)^c=a^{bc}\\\\25(x^5)^2=\boxed{25x^{10}}[/tex]
Please help!! This is so confusing! 100 points!!
Answer:
The value of the expression given is:
4Step-by-step explanation:
First, you must divide the expression in three, and to the final, you can multiply it:
[(3^8)*(2^(-5))*(9^0)]^(-2) [(2^(-2))/(3^3)]^4 3^28Now, we can solve each part one by one:
First part.
3^8 = 6561 2^(-5) = 0.03125 9^0 = 1 (Whatever number elevated to 0, its value is 1) (6561 * 0,03125 * 1) = 205.03125And we elevate this to -2:
205.03125^-2 = 2.378810688*10^(-5) or 0.00002378810688Second part.
2^(-2) = 0.25 3^3 = 27 0.25 / 27 = 9.259259259 * 10^(-3) or 0.00925925925925And we elevate this to 4:
0.00925925925925^4 = 7.350298528 * 10^(-9) or 0.000000007350298528Third Part.
3^28 = 2.287679245 * 10^13 or 22876792450000At last, we multiply all the results obtained:
0.00002378810688 * 0.000000007350298528 * 22876792450000 = 3.999999999999999999 approximately 4We approximate the value because the difference to 4 is minimal, which could be obtained if we use all the decimals in each result.
Answer:
[tex]\Huge \boxed{\mathrm{4}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle \sf (3^8 * 2^{-5} * 9^0)^{-2} * (\frac{2^{-2}}{3^3 } )^4 *3^{38}[/tex]
Distributing the power of -2 to the parenthesis,
[tex]\displaystyle \sf (3^{-16} * 2^{10} * 9^0)* (\frac{2^{-2}}{3^3 } )^4 *3^{38}[/tex]
Distributing the power of 4 to the fraction,
[tex]\displaystyle \sf (3^{-16} * 2^{10} * 9^0)* (\frac{2^{-8}}{3^{12} } )*3^{38}[/tex]
Multiplying,
[tex]\displaystyle \sf \frac{3^{-16} * 2^{10} * 9^0* 2^{-8} *3^{38}}{3^{12} }[/tex]
Simplifying,
[tex]\displaystyle \sf \frac{2^2 *3^{22}}{3^{22} }[/tex]
[tex]\sf 2^2 =4[/tex]
[tex]\rule[225]{225}{2}[/tex]
I need helppppppppppppp
Answer:$140 for the train ride
$84 for the museum
Step-by-step explanation:
28×5
28×3
All the students + you = 28
If not, try 27×5 and 27×3
Answer:
$216 for the Train Ride and visit to the Museum.Step-by-step explanation:
There are two values to find and add together.
o The admission cost for the Museum
o The admission cost for the Train Ride
Let's make some equations.
x=number of people
Museum: 3x=total cost for Museum (m)
Train Ride: 5x=total cost for Train Ride (t)
m+t= total money spent
Now, let's replace the values.
Museum: 3(27)=$81
Train Ride: 5(27)=$135
$81+$135=$216 for the Train Ride and visit to the Museum.
Hope this helps!
-Emma
Which of the ordered pairs below satisfy the following equation. Check all that apply!
Answer:
A, B, and C
Step-by-step explanation:
By substituting each of the ordered pairs into the equation you can determine that A, B and C all satisfy the equation.
Tim and jane both work for a company that sells boxes of breakfast cereal the boxes of cereal cost 3 pounds and the amount of cereal in each box weighs 160g the company wants to have a special offer here is Tim's idea for the special offer: PUT 25% MORE CEREAL IN EACH BOX AND DO NOT LOWER THE PRICE here is Jane's idea: REDUCE THE PRICE AND DO NOT CHANGE THE AMOUNT OF CREAL IN EACH BOX Jane wants her idea to give the same value of money as Tim's idea by what percentage does she need to reduce the price?
Answer:
In order to give the same value for money as Tim's idea, Jane has to reduce the price by 25%
Step-by-step explanation:
The given parameters are;
Cost of each box of breakfast cereal = 3 pounds
Amount of cereal in each box of breakfast cereal = 160 g
160 g of cereal = 100%
25% of one box of cereal = 25% of 160 g = (25/100)×160 g= 40 g
Given that Jane wants her idea to give the same value of money as Tim's idea, we have;
160 g of cereal costs 3 pounds
1 g of cereal will cost 3/160 pounds
40 g of cereal will cost 40*3/160 = 3/4 pounds
Therefore, the percentage 3/4 pound is of 3 pounds = [tex]\dfrac{\frac{3}{4} }{3} \times 100 = 25 \%[/tex]
Which gives, Jane has to reduce the price by 25% to give the same value for money as Tim's idea.
To give the same value of money as Tim's idea, she need to reduce the price by 20%.
Given that:
Cost of one box of breakfast cereal is 3 pounds.
Weight of 1 box of cereal is 160g.
Tim's idea is to put 25% more cereal.
Let Jane's idea is to reduce price by x pounds such that the value of the item is same as that after applying Tim's idea.
Value in case of Tim's idea:
[tex]160g + \dfrac{160 \times 25}{100} \: \: in \: \: 3 \: pounds\\\\200g \: \: in \: \: 3 pounds\\1g \: \: in \: \: \dfrac{3}{200} \: pounds[/tex]
Value in case of Jane's idea:
[tex]160g \: \: in \: \: (3-x) \: pounds\\\\1g \: \: in \: \: \dfrac{(3-x)}{160} \: pounds\\[/tex]
Since values have to stay same, thus we have:
[tex]\dfrac{3}{200} = \dfrac{3-x}{160}\\\\\dfrac{12}{5} = 3-x\\\\5x = 3\\\\x = \dfrac{3}{5}\\\\x = 0.6 \:pounds[/tex]
To calculate percentage, we can do as follows:
[tex]\begin{aligned}percentage &= \dfrac{x \times 100}{3}\\&= \dfrac{60}{3}\\&= 20\end{aligned}[/tex]
Thus, to give the same value of money as Tim's idea, she need to reduce the price by 20%.
Learn more here:
https://brainly.com/question/8011401
Which polynomial is prime?
THE CORRECT ANSWER IS OPTION ( B )
HOPE IT HELPS.PLEASE MARK AS BRAINLIEST AND FOLLOW ME .....What is a common reason for filing a 1040X?
A.
not using a tax preparer to file the initial return
B.
leaving off the cents of a dollar value
C.
forgetting to include miscellaneous income earned
D.
signing the form in blue ink
Answer:
c forgetting income
Step-by-step explanation:
qweddcs
Can someone help me in this math problem plssssss
Answer:
D
Step-by-step explanation:
the x coordanate length is 9, because | -4-5 | = 9
and the y coordanate is 13 becasue | -7 - 6 | = 13
Then you do [tex]a^{2}+b^{2} = c^{2}[/tex] which equals 5√10 or approximately 15.81139 which rounds to 15.81
help me with right answer plz
Answer:
13.5
Step-by-step explanation:
area: 1/2*[x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]