Answer:
[tex]\frac{\sqrt[4]{15} }{16}[/tex]
Step-by-step explanation:
You cannot leave a radical in the denominator, so the first step is to get rid of it. The way you do that is by multiplying the radical in the denominator by itself over itself because anything over itself is equal to 1. So, for example in this problem:
[tex]\frac{\sqrt{15}}{\sqrt{16} } *\frac{\sqrt{16}}{\sqrt{16} }[/tex]
From here you multiply straight across. The numerator will be equal to [tex]\sqrt{240}[/tex] and the denominator will be 16 because any radical multiplied by itself cancels the radical out and just equals the number inside of the radical. The last step is to simplify the numerator. You do this by finding factors of 240 which are:
1 * 2402 * 1203 * 804 * 605 * 486 * 408 * 3010 * 2412 * 2015 * 16You want to use the greatest factor you have so you can break it down easier which in your case is (15 * 16). From here you simplify each of those numbers until you have a duplicate of something. The greatest factor of 15 is 3 * 5, so that won't simplify because there are no duplicate numbers. The greatest factor of 16 is 4 * 4 which means that it will simplify. When you are simplifying the duplicate (4) always goes outside of the radical and the non-duplicate (15) always goes on the inside of the radical. Your answer should look like this:
[tex]\frac{\sqrt[4]{15} }{16}[/tex]
PLEASE SOLVE THIS WITH FULL EXPLANATION ASAP I HAVE A MATH EXAM
Answer:
3/5y
Step-by-step explanation:
6y/35 ÷10y^2/7
to solve this you do reciprocal of 10y^2/7
then;
6y/35 x 7/10y^2
solving this
3/5y
Can system of equations be linear and nonlinear
number 3 pls !!!!!!!!!!!!!!
Answer:
9
Step-by-step explanation:
ED: DC = 3:1
AB : BC = 3:1
AB: 3 = 9
Answer:
AB = 9
Step-by-step explanation:
Tale's theorem
[tex]\frac{12}{4} =\frac{AB}{3}[/tex]
[tex]AB=\frac{(12)(3)}{4} =\frac{36}{4} =9[/tex]
Hope this helps
Korena is paid $40 it weed the garden 5 times. At this rate, how many times must she weed the garden to earn $100?
What we know:
Korena is paid $40 every five times she does the job
What we need to figure out:
How many times does she have to do it to earn $100
Math:
First I'm going to figure out how much she makes each time she weeds
Money earned ÷ Amount of times
40 ÷ 5
= 8
In order to determine the rest of the time we are going to multiply everything we know by 2
Korena is paid $80 if she does it 10 times
We clearly aren't going to do that again because that will surpass the amount so now we are going to use the unit rate we figured out;
($8 per time)
Korena is paid $88 if she does it 11 times
Korena is paid $96 if she does it 12 times
Korena is paid $104 if she does it 13 times
Statement
Therefore if Korena weeds the garden 13 times she will make $104 surpassing the $100 needed.
i need help on this asap
Answer:
c
Step-by-step explanation:
Hi! Kindly give me the formula for finding the percentage of profit.
Profit and selling price are given. Thank you in advance!
When the selling price and the cost price of a product is given, the profit can be calculated using the formula, Profit = Selling Price - Cost Price. After this, the profit percentage formula that is used is, Profit percentage = (Profit/Cost Price) × 100.
Step-by-step explanation:
Given:
Profit P and selling price SpFind cost price Cp first:
Cp = Sp - PTo find the percentage profit divide the profit by the cost price and multiply by 100%:
P% = P/(Sp - P)*100%plz I just wanna if my answers are true
Answer:
3^2
3^4
3^6
Step-by-step explanation:
9 is actually 3^2, so you have the first one wrong.
The second one is correct, but the third one is not
Since 9 is 3^2, you can write that as (3^2)^3, which is 3^6.
Please help me solve this. warning: an equation may have no solution, one solution or more than one solution.
5x-13=2x-9-4+3x
I got the answer and steps for this math problem,
Answer:
[tex]5 \times - 13 = 2 \times - 9 - 4 + 3 \times \\[/tex]
= 1 5/9 or 1 .5555556.
Step-by-step explanation:
Please comment if I'm
wrong...
f(x)=1/2(x-2)(x+3)^3
Answer:y=
1
2
x4+
7
2
x3+
9
2
x2+
−27
2
x−27
Step-by-step explanation:
What is the following sum? 2 (RootIndex 3 StartRoot 16 x cubed y EndRoot) 4 (RootIndex 3 StartRoot 54 x Superscript 6 Baseline y Superscript 5 Baseline) 4 x (RootIndex 3 StartRoot 2 y EndRoot) 12 x squared y (RootIndex 3 StartRoot 2 y squared EndRoot) 8 x (RootIndex 3 StartRoot x y EndRoot) 12 x cubed y squared (RootIndex 3 StartRoot 6 y EndRoot) 16 x cubed y (RootIndex 3 StartRoot 2 y squared EndRoot) 48 x cubed y (RootIndex 3 StartRoot 2 y EndRoot).
Equivalent expressions are expressions that have the same value, and can be used interchangeably.
The result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]
The expression is given as:
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex]
Rewrite the expression as:
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (\sqrt[3]{2^4x^3y}) + 4 (\sqrt[3]{3^3 \times 2x^6y^5})[/tex]
Evaluate the roots
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (2x\sqrt[3]{2y}) + 4 (3x^2y\sqrt[3]{2y^2})[/tex]
Open the brackets
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 4x\sqrt[3]{2y} + 12x^2y\sqrt[3]{2y^2})[/tex]
The above expression cannot be further simplified.
Hence, the result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/2972832
The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].
We have to determine, the sum of the given expression.
According to the question,
Expression; [tex]2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})[/tex]
To determine the sum of the given expression following all the steps given below.
Rewrite the expression term in the form of their cubes,
[tex]\rm = 2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})\\\\ = 2(\sqrt[3]{2^4x^3y} +4(\sqrt[3]{3^3 \times 2 \times x^6y^5})\\\\= 2\times 2(\sqrt[3]{x^3y} +4\times 3(\sqrt[3]{ 2 \times x^6y^5})\\\\= 4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\\\=4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex]
Hence, The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].
For more details refer to the link given below.
https://brainly.com/question/21798224
Find the perimeter of the figure shown to the right.
Step-by-step explanation:
that is very simple. you do understand the word "perimeter" ? it just means the distance when walking around the whole shape once.
and that clearly means to just add all side lengths.
that's it.
so, 25 + 18 + 18 + 20 + 17 = 98 ft
was there any other problem with this you did not understand ?
Here is a balanced Hanger. Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger
Answer:
4x+2.5+2.5+3+3=2x+2.5+3+3+3 AND 4x+5+6=2x+2.5+6
Step-by-step explanation:
Here is the equation of a circle: x2 + y2 + 12x + 2y + 12 = 0
Find the center and radius of the circle.
Answer:
centre = (- 6, - 1 ) , radius = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given
x² + y² + 12x + 2y + 12= 0
Collect the x- terms and the y- terms together and subtract 12 from both sides
x² + 12x + y² + 2y = - 12
Using the method of completing the square
add ( half the coefficient of the x / y coefficients )² to both sides
x² + 2(6)x + 36 + y² + 2(1)y + 1 = - 12 + 36 + 1
(x + 6)² + (y + 1)² = 25 ← in standard form
with (h, k ) = - 6, - 1 ) as centre and r = [tex]\sqrt{25}[/tex] = 5
please help me asap!!!
ty :)
Answer:
the desired line is y = 3x - 4
Step-by-step explanation:
The slope formula is not needed here. If the given line is y = 3x - 2, we can see immediately that the slope is 3, in both cases.
Find the y-intercept as follows:
y = mx + b => 5 = 3(3) + b, or b = -4
Then the desired line is y = 3x - 4
what is the recriprocal of 8
Answer:
answer = 1/8
Step-by-step explanation:
answer = 1/8
3x - 2 < 4
what is the solution for the inequality
Answer:
x<2
Step-by-step explanation:
How long does it take for sunlight to reach earth? Show Work!
Answer: 8.3 minutes
Step-by-step explanation:
The time t may be obtained using the speed distance equation s=d/t. Rearranged to solve for time it would be: t=s/v, where s is the distance between the Sun and Earth and v is the speed of light.
There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the box. Find an expression, in terms of x, for the probability that Jack takes one pen of each colour. Give your answer in its simplest form.
The probability that one of each color is selected is [tex]\frac{10x - x^2}{45}[/tex]
ProbabilitiesThe probability of an event is the chances of the said event
The given parameters are:
Total = 10Red = xBlue = 10 - xCalculating the required probabilityThe probability that one of each color is selected is calculated as follows:
[tex]P = P(Blue) \times P(Red) + P(Red) \times P(Blue)[/tex]
So, we have:
[tex]P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}[/tex]
This gives
[tex]P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}[/tex]
Take LCM
[tex]P = \frac{2x(10 - x)}{90}[/tex]
Simplify the above expression
[tex]P = \frac{x(10 - x)}{45}[/tex]
Expand
[tex]P = \frac{10x - x^2}{45}[/tex]
Hence, the probability that one of each color is selected is [tex]P = \frac{10x - x^2}{45}[/tex]
Read more about probabilities at:
https://brainly.com/question/7965468
Find the inverse function. f(x) = Vx - 1+4
Answer:
f^-1(v)=v/x-3/x
Step-by-step explanation:
The inverse of the function f(x) = [tex]\sqrt[3]{x-1} + 4[/tex] Is f⁻¹(x) = (x - 4)³ + 1.
What is a function?Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
Given:
f(x) = [tex]\sqrt[3]{x-1} + 4[/tex]
y = [tex]\sqrt[3]{x-1} + 4[/tex]
Calculate the inverse of the function as shown below,
Replace x with y,
x = [tex]\sqrt[3]{y-1} + 4[/tex]
x - 4 = [tex]\sqrt[3]{y- 1}[/tex]
Cube both sides,
(x - 4)³ = y - 1
y = (x - 4)³ + 1
Thus, f⁻¹(x) = (x - 4)³ + 1
To know more about function:
https://brainly.com/question/5975436
#SPJ2
I need some help :(
A)4
B)2.9
C)3.8
Answer: C
Step-by-step explanation:
A moneylender’s income decreased by $60 When the rate of interest dropped from 8% per annum to 7 3/4 % per annum . What was his principal?
Answer:
$24,000
Step-by-step explanation:
The difference for principal amount P is ...
(8% × P) - (7 3/4% × P) = $60
0.0025P = $60
P = $24,000 . . . . . multiply by 400
His principal was $24,000.
PLEASE ANSWER THIS QUESTION!!!! ASSIGNMENT DUE BY 3:15!!!!!!
create an event that would give me a PROBABILITY of 1/2
Answer:
This is a really simple example, but imagine you had two marbles in a bowl. One is blue and one is green. Without looking, you reach into the bowl and pick one marble. What is the probability that the marble is blue?
There are two total marbles and you pick one, with one being blue and one being green. The probability that you pick the blue marble instead of the green marble is 1/2. The 2 represents the total number of marbles and the 1 represents the favorable outcome of drawing a blue marble.
Hope this helps!
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
5
|(2, -1) 5
(-2,-3)
2
Answer:
The slope is 2/4 or 1/2
Step-by-step explanation:
Another company will lend Maya’s older sister $4,000. Every month, she will pay $11.88 in interest. What is the interest rate, rounded to the nearest tenth of a percent, for 1 year.
Answer:
120
Step-by-step explanation:
$11.88 rounded to the nearest tenth is 10 and there are 12 months in one year so 10 x 12 = 120
Write the equation of the line that is perpendicular to y=3x-6 and passes through the point
x, y
(2,0)
Perpendicular is the negative reciprocal so the slope is -1/3
Need to know b and the full equation
With work please. Thank you!
Answer:
y=-1/3x+2/3 (please mark brainliest)
Step-by-step explanation:
start with y=3x+6
you can get the slope of the perpendicular line by dividing the slope by -1,
so the slope of the new line is -1/3.
using the point and the slope of the new line, we can put it into point-slope form:
y-y₁=m(x-x₁)
y-0=-1/3(x-2)
simplify:
y=-1/3x+2/3
this is the final equation in the form y=mx+b
Please I need help now!!!
Answer:
An Ojibwe event in which women of all ages run, bike and canoe.
Step-by-step explanation:
Mila buys 11/12 pounds of almonds and 5/6 pounds of pecans.
Which answer is the most accurate estimate for how many more pounds of almonds she buys than pounds of pecans?
0 pounds
1/2 pounds
1 pound
Answer: Check explanation.
Step-by-step explanation: I think its 0. Not sure. Hope this helped!
I need help on this question
x = -7
hope this helps!
f(x) = 3/4 * x - 7 . Find x if f(x) = - 1 . PLEASE tell how to solve it bc that what i dont know, i dont want just the answer
Answer:
[tex]x=-8[/tex] if [tex]f(x)=-1[/tex]
Step-by-step explanation:
Given --> [tex]f(x)=-\frac{3}{4}x-7[/tex]
Substitute [tex]f(x)=-1[/tex] into the equation and solve for [tex]x[/tex]:
[tex]-1=-\frac{3}{4}x-7[/tex]
[tex]6=-\frac{3}{4}x[/tex]
[tex]24=-3x[/tex]
[tex]-8=x[/tex]
So, when [tex]f(x)=-1,x=-8[/tex]
answer in standard form PLEASE.