Answer:
4√mn/m^2
Step-by-step explanation:
√16n/m^3
= √16n/√m^3
= √4x4xn/√mxmxm
= 4√n/m√m
Rationalize by multiplying the numerator and the denominator by the denominator, which is a surd:
= (4√n x √m)/(m√m x √m)
= 4√mxn/m√mxm
= 4√mn/mxm
= 4√mn/m^2
The price of sugar increased by 20%. What percent of sugar would the family have to stop using so that they pay the same amount of money each month?
Answer:
9.16
Step-by-step explanation:
We know that
Total expense = price of sugar * consumption
let price of sugar was 100
So total expense = 100*10=1000
But now new expense =1100 (I,e.10% more than 1000)
and new price =120(i,e. 20% more than 100)
So new consumption = new expense/ new price=
1100/120
=110/12
=9.16
HOPE IT HELPS :)
PLEASE MARK IT THE BRAINLIEST!
Answer:
16 2/3 % or approx. 16.67%
Step-by-step explanation:
Original price = 100%
New price = 100+20% = 120%
To reduce back to 100%
we need to reduce 20% from 120 % = 20/120 = 1/6 = 16 2/3 % = 16.7% approx.
Will mark BRAINIEST. Solve this.
Answer:
3x+7=10x+17
Step-by-step explanation:
1.9
10x
27x
Answers:
Equation is 3x+7 + 10x+17 = 180 (there are infinitely many other ways to write the equation)
x = 12
Angles are 43 and 137
==========================================================
Explanation:
The horizontal lines are parallel, so the same side interior angles marked are supplementary. The angles add to 180
(3x+7) + (10x+17) = 180 is the equation, or one variation of such
13x+24 = 180
13x = 180-24
13x = 156
x = 156/13
x = 12 is the value of x
Use this x value to find the measure of each angle
3x+7 = 3*12+7 = 43
10x+17 = 10*12+17 = 137
The two angles are 43 and 137 degrees
Note how 43 and 137 add to 180.
A large company is hosting a conference. So far, a total of 3,922 people have signed up, including 26 from united states. How many people from other countries have signed up?
Answer:
3,896 have signed up from other countries
Step-by-step explanation:
In this problem we are required to calculate the number of signups from other countries.
well, since we know the total sign ups to be 3,922
And also we know that 26 out of the total signed up from the USA
This means that the sign ups from other countries will be
3,922-26=3,896
What the correct answer fast
Answer:
[tex] s = 5.8 [/tex]
Step-by-step Explanation:
Given:
∆RST,
m < T = 17°
t = RS = 5
m < S = 20°
s = RT = ?
Apply the Law of Sines to find s
[tex] \frac{s}{sin(S)} = \frac{t}{sin(T)} [/tex]
[tex] \frac{s}{sin(20)} = \frac{5}{sin(17)} [/tex]
Multiply both sides by sin(20) to make s the subject of formula.
[tex] \frac{s}{sin(20)}*sin(20) = \frac{5}{sin(17)}*sin(20) [/tex]
[tex] s = \frac{5*sin(20)}{sin(17)} [/tex]
[tex] s = 5.8 [/tex] (to nearest tenth)
pls help me I will give BRANLIEST!!!and follow you back (ー_ー゛)its due in 5minutes
Answer:
$186.89
Step-by-step explanation:
Let's start by finding the area of the floor.
Area of a trapezium can be found with the formula:
A=(a+b)/2*h
Let's plug our values in.
A=(10+16)/2*7.6
Simplify.
A=26/2*7.6
A=13*7.6
A=98.8
The area of the floor is 98.8 square meters.
Find how many litres of paint are needed.
98.8/1.9=52
He needs 52 liters of paint.
52/5=10.4
He needs 11 5 liter cans of paint.
Each one costs %16.99.
16.99*11=186.89
It would cost $186.89 to buy all the paint he needs.
Write the point-slope form of an equation of the line through the points (6,-1) and (5,-7).
Answer:
slope of the line containing the given points (6,-1) AND (5,-7) is 6
point- slope form of the equation is
(y+1)= 6(x-6) ( because, i'm choosing the point (6,-1)
Step-by-step explanation:
slope = (-7 + 1) / (5 - 6 ) = -6/-1 = 6
(y-y1) = m ( x - x1)
(y+1 ) = 6 ( x-6)
The product of ages of a man 5 years ago and
5 years hence is 600, find his present age.
Answer:
25
Step-by-step explanation:
let his age be x, then
5 years ago his age was x - 5 and in 5 years will be x + 5 , thus
(x - 5)(x + 5) = 600 ← expand factors using FOIL
x² - 25 = 600 ( add 25 to both sides )
x² = 625 ( take the square root of both sides )
x = [tex]\sqrt{625}[/tex] = 25
Answer:
[tex]\boxed{Age \ of \ man = 25 \ years}[/tex]
Step-by-step explanation:
Let the age be x
Then, the given condition is:
(x-5)(x+5) = 600 [ x-5 for age 5 years ago and x+5 for age 5 years after ]
Using Formula [tex](a+b)(a-b) = a^2-b^2[/tex]
[tex]x^2-25 = 600[/tex]
Adding 25 to both sides
[tex]x^2 = 600+25[/tex]
[tex]x^2 = 625[/tex]
Taking sqrt on both sides
[tex]x = 25[/tex] years
HELP!! this is due today
Answer:
1
Step-by-step explanation:
If y=x, than the only way
y=rx can be possible is if r=1
Hope this helps!
Have a good day! :)
Answer:
1
Step-by-step explanation:
y = rx
Use any set of x and y-coordinates in the equation and solve for r.
For example, use (5.8, 5.8).
5.8 = r(5.8)
Divide both sides by 5.8:
r = 1
Answer: r = 1
2/7 DIVIDED by 3=please help me
Answer:
2/21.
Step-by-step explanation:
[tex]\frac{2}{7}[/tex] ÷ 3 = (2 / 7) * (1 / 3) = (2 * 1) / (7 * 3) = 2 / 21 = 0.0952380952.
Hope this helps!
Write 3 as 3/1
Now you have 2/7 / 3/1.
When you divide by a fraction change the divide to multiply and flip the second fraction over
Now you have 2/7 x 1/3 now multiply top by top and bottom by bottom to get
2/21
Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height of the ball above the ground and represents the time in seconds. The maximum value achieved by the function is represented by the vertex. Use factoring to answer the following: How many seconds does it take the ball to reach its highest point
Answer:
2.5 second
Step-by-step explanation:
The equation is missing in the question.
The equation is, [tex]h=-8t^2+40t[/tex] , where 'h' is the height and 't' is time measured in second.
Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :
[tex]\frac{dh}{dt} =0[/tex]
Now the differentiating the equation with respect to time t, we get
[tex]\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)[/tex]
[tex]\frac{dh}{dt}=-16t+40[/tex]
For maximum height, [tex]\frac{dh}{dt} =0[/tex]
So, [tex]-16t+40=0[/tex]
[tex]\Rightarrow 16t=40[/tex]
[tex]\Rightarrow t=\frac{40}{16}[/tex]
[tex]\Rightarrrow t = 2.5[/tex]
Therefore, the ball takes 2.5 seconds time to reach the maximum height.
1) Suppose f(x) = x2 and g(x) = |x|. Then the composites (fog)(x) = |x|2 = x2 and (gof)(x) = |x2| = x2 are both differentiable at x = 0 even though g itself is not differentiable at x = 0. Does this contradict the chain rule? Explain.
Answer:
This contradict of the chain rule.
Step-by-step explanation:
The given functions are
[tex]f(x)=x^2[/tex]
[tex]g(x)=|x|[/tex]
It is given that,
[tex](f\circ g)(x)=|x|^2=x^2[/tex]
[tex](g\circ f)(x)=|x^2|=x^2[/tex]
According to chin rule,
[tex](f\circ g)(c)=f(g(c))=f'(g(c)g'(c)[/tex]
It means, [tex](f\circ g)(c)[/tex] is differentiable if f(g(c)) and g(c) is differentiable at x=c.
Here g(x) is not differentiable at x=0 but both compositions are differentiable, which is a contradiction of the chain rule
what is the area of the triangle in the diagram?
Answer:
area=17.5
Step-by-step explanation:
area=1/2(base*height)
area=1/2(3*7)
are=17.5
what expressions are equal to the problem?
Answer:
A
Step-by-step explanation:
[tex] \frac{ {6}^{3}. {2}^{6} }{ {2}^{3 } } = \frac{ {2}^{3}. {3}^{3}. {2}^{6} } { {2}^{3} } = {2}^{6} . {3}^{3} [/tex]
A play school is designing two sand pits in ts play area . Each must have an area of 36 m2 . However , one of the sand pits must be rectangular , and the other must be square haped . What might be the dimensions of ach of the sand pits ?
Answer:
Dimensions of square shaped pit = 6m [tex]\times[/tex] 6m
Dimensions of rectangular pit = 1m [tex]\times[/tex] 36m or 2m [tex]\times[/tex] 18m or 3m [tex]\times[/tex] 12m or 4m [tex]\times[/tex] 9m
Step-by-step explanation:
Given:
Two pits in the school playground area (one square shaped and one rectangular shaped).
Each pit must have an area = 36 [tex]m^2[/tex]
To find:
Dimensions of each pit = ?
Solution:
First of all, let us have a look at the formula for area of a square and a rectangle:
[tex]Area_{square} = (Side)^2[/tex]
[tex]Area_{Rectangle} = Length\times Width[/tex]
Now, let us try to find out dimensions of square:
[tex]36 = Side^2\\\Rightarrow Side = 6\ m[/tex]
So, dimensions of Square will be 6m [tex]\times[/tex] 6m.
Now, let us try to find out dimensions of rectangle.
[tex]36 = Length\times Width[/tex]
We are not given any restrictions on the Length and Width of the rectangle.
So, let us explore all the possibilities by factorizing 36:
[tex]36 = 1 \times 36\\36 = 2 \times 18\\36 = 3 \times 12\\36 = 4 \times 9[/tex]
6 [tex]\times[/tex] 6 factors not considered because then it will become a square and which is not the required case.
Dimensions of rectangular pit = 1m [tex]\times[/tex] 36m or 2m [tex]\times[/tex] 18m or 3m [tex]\times[/tex] 12m or 4m [tex]\times[/tex] 9m
What is the center of the circle with the equation (x-1)^2 + (y+3)^2= 9? a (1,3) b (-1,3) c (-1,-3) d (1,-3)
Answer:
The center is ( 1,-3) and the radius is 3
Step-by-step explanation:
The equation of a circle can be written in the form
( x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
(x-1)^2 + (y+3)^2= 9
(x-1)^2 + (- -3)^2= 3^2
The center is ( 1,-3) and the radius is 3
Which lists all of the y-intercepts of the graphed function? (0, –3) (–1, 0) and (3, 0) (0, –1) and (0, 3) (–1, 0), (3, 0), and (0, –3)
Answer:
The correct option is;
(0, -3), (-1, 0) and (3, 0)
Step-by-step explanation:
From the given graph of the function we have the following observations;
There are two x-intercepts which are;
1) To the left of the vertical y-axis having coordinates (-1, 0)
2) To the the right of the y-axis having coordinates (3, 0)
There is only one y-intercept having coordinates, (0, -3)
Therefore, all the intercepts of the function are, (0, -3), (-1, 0) and (3, 0).
Answer:
(0, -3), (-1, 0) and (3, 0)
Step-by-step explanation:
A box of 15 cookies costs $ 9 What is the cost for 1 cookie?
Answer:
60 cents or $0.60
Step-by-step explanation:
9.00/15 = 0.6
Answer:
$.60
Step-by-step explanation:
This is just 9 divided by 15 which is $.60
A contractor can spend at most $250 a day on operating costs and payroll. It costs $45 each day to operate the forklift and $60 a day for each crew member. Write an inequality to represent the contractor's budget for the day.
Answer: [tex]45+65x\leq250[/tex] .
Step-by-step explanation:
Given: Cost to operate the forklift per day = $45
Cost for each crew member per day = $65
Let x be the number of crew members.
Then, we have
Total cost = (Cost to operate the forklift per day)+(Cost for each crew member per day)×(number of crew members)
= 45+65x
Since, the contractor can spend at most $250.
Then, the required inequality: [tex]45+65x\leq250[/tex] .
Triangle ABC is isosceles with AB = AC.
Angle BAC = 110° and the area of the triangle is 85cm^2
Calculate AC.
Answer:
22.5 cm
Triangle area is (L x W) / 2
7.5 x 6 = 45
45 / 2 = 22.5
Step-by-step explanation:
brainlist plzzzz
The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options. On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 0.5, 6.75), and goes through (1, 0). The vertex is the maximum value. The axis of symmetry is x = negative one-half. The domain is all real numbers. The range is all real numbers. The function is decreasing from (−∞, 6.75).
Answer:
On a coordinate plane, a parabola opens down
has a vertex at (negative 0.5, 6.75)
The vertex is the maximum value. The axis of symmetry is x = negative one-half.
The domain is all real numbers
Step-by-step explanation:
Answer:
The vertex is the maximum value.
The axis of symmetry is x = negative one-half.
The domain is all real numbers.
Step-by-step explanation:
The answer above is correct.
A cylinder with a base diameter of x units has a volume of πx3 cubic units. A cylinder with a base diameter of x units has a volume of pi x cubed cubic units. Which statements about the cylinder are true? Select two options. The radius of the cylinder is 2x units. The area of the cylinder’s base is One-fourthπx2 square units. The area of the cylinder’s base is One-halfπx2 square units. The height of the cylinder is 2x units. The height of the cylinder is 4x units.
Answer:
The height of the cylinder is 4 x units.
The area of the cylinder’s base is One-fourthπx2 square units
Step-by-step explanation:
Formula for volume of the cylinder:
V = r² π h
Volume of the cylinder=
πx^3
Diameter=x
Radius (r)=diameter/2
=x/2
V = r² π h
πx^3=(x/2)^2πh
πx^3=(x^2/4)πh
Divide both sides by π
x^3=(x^2/4)h
Make h the subject of the formula
h=x^3÷x^2/4
=x^3×4 / x^2
=4x^3 / x^2
=4*x*x*x / x*x
h=4x
Area of the base:
B = r² π
Recall, r=x/2
B=(x/2)^2 * π
=(x^2/4)π
=πx^2/4
=1/4(πx^2)
The area of the cylinder’s base is One-fourthπx2 square units.
Answer:
B & E
Step-by-step explanation:
Edge 2020
please help :) Which number is less than 2.167 × 10 to the 4 power? A. 9,978 B. 1.1 x 10 to the 6 power C. 56,344,000 D. 2.468 × 10 to the 5 power
Answer: A
Step-by-step explanation
2.167x10^4 = 21,670
= 9,978
1.1x10^6 = 1100,000
= 56,344,000
2.468x10^5 = 246,800
Answer: A. 9,978
Based on the power, move the decimal point that many spaces to the right. (E.g., If it's 4.2 × 10^3, then move the decimal three spaces to the right, and you'd get 4200.)
2.167 × 10^4 = 21670
1.1 × 10^6 = 1100000
2.468 × 10^5 = 246800
Out of all the numbers mentioned in the question, 9,978 is the only one that's less than 2.167 × 10^4 = 21670.
if the pattern continued,what value of y would be associated with x=6? y=
Answer: the answer would be 24
Step-by-step explanation: just did the assignment
Answer:
24
Step-by-step explanation:
Just got it right on edge 2020
Write these series with summation notation. 1,4,9,16...
Answer: [tex]\sum\limits_{i=1}^{n} n^2[/tex] , where n is a natural number.
Step-by-step explanation:
A series can be represented in a summation or sigma notation.
Greek capital letter, ∑ (sigma), is used to represent the sum.
For example: [tex]\sum\limits_{n=1}^{\infty} n=1+2+3+4+5+...[/tex], where n is a natural number.
The given series : 1,4,9,16 which can be written as [tex]1^2, 2^2, 3^2,...[/tex] .
So , we can write it as
[tex]\sum\limits_{n=1}^{\infty} n^2[/tex] , where n is a natural number.
Answer:
B=6
C=n^2
Just did the test
Step-by-step explanation:
At the end of any year a car is worth 5%
less than what it was worth at the beginning
of the year. If a car was worth $9 500 in
December 2016, then its value in January
2016 was
Answer:
Step-by-step explanation:
Multiply $9500 by .05 (5%) to get 475. That is 5% of $9500. Now subtract 475 from 9500 to get 9025. That is your answer!
The value of car in month of January is, [tex]\$ 9975[/tex]
Percentage :It is given that, At the end of any year a car is worth 5% less than what it was worth at the beginning of the year.
Since, car was worth $9 500 in December 2016.
Then, the value of car in month of January is, 105 % of value of car in moth of December.
So that, value of car in month of January is,
[tex]=9500*\frac{105}{100}\\ \\=9500*1.05=9975[/tex]
The value of car in month of January is, [tex]\$ 9975[/tex]
Learn more about percentage here:
https://brainly.com/question/24304697
For which system of equations would you need to estimate the solution?
On a coordinate plane, 2 lines intersect at (3, 0).
On a coordinate plane, 2 lines intersect around (negative 2.1, negative 3.5).
On a coordinate plane, 2 lines intersect at (negative 2, 3).
On a coordinate plane, 2 lines intersect at (2, 2).
Answer: It is option 2 or B
Step-by-step explanation: Simple and easy, the test said it was right too.
I'LL GIVE BRAINLIEST AND THANKS -SOLVE THE QUADRATIC EQUATION
Answer:
x = -1.47, 1.14
Step-by-step explanation:
Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
We are given a = 3, b = 1, and c = -5. Simply plug it into the Quadratic Formula:
Step 1: Plug in variables
[tex]x=\frac{-1+/-\sqrt{1^2-4(3)(-5)} }{2(3)}[/tex]
Step 2: Solve
[tex]x=\frac{-1+/-\sqrt{1+60} }{6}[/tex]
[tex]x=\frac{-1+/-\sqrt{61} }{6}[/tex]
Step 3: Plug into calculator to evaluate into decimals
You should get x = -1.46837 and 1.13504
Answer:
1.13 and -1.46
Step-by-step explanation:
Our quadratic equation is: 3x²+x-5=0
The method we will use is te dicriminant method
let Δ be the discriminant:
a= 3b= 1c= -5Δ = b²-4*a*c
Δ= 1²-4*3*(-5)Δ= 1+60Δ=6161 is a positive number so we have solutions x and x':
x= (-b-√Δ)/2*a = (-1-√61)/2*3 = [tex]\frac{-1-\sqrt{61} }{6}[/tex] = -1.46 x'= (-b+√Δ)/2*a = (-1+√61)/2*3 =[tex]\frac{-1+\sqrt{61} }{6}[/tex] = 1.13so the two solutions are :
-1.46 and 1.13
Simplify
[tex]\ \textless \ br /\ \textgreater \ \sqrt[4]{16a^- 12}\ \textless \ br /\ \textgreater \ [/tex]
Answer:
[tex]\huge\boxed{\sqrt[4]{16a^{-12}}=2a^{-3}=\dfrac{2}{a^3}}[/tex]
Step-by-step explanation:
[tex]16=2^4\\\\a^{-12}=a^{(-3)(4)}=\left(a^{-3}\right)^4\qquad\text{used}\ (a^n)^m=a^{nm}\\\\\sqrt[4]{16a^{-12}}=\bigg(16a^{-12}\bigg)^\frac{1}{4}\qquad\text{used}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\bigg(2^4(a^{-3})^4\bigg)^\frac{1}{4}\qquad\text{use}\ (ab)^n=a^nb^n\\\\=\bigg(2^4\bigg)^\frac{1}{4}\bigg[(a^{-3})^4\bigg]^\frac{1}{4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=2^{(4)(\frac{1}{4})}(a^{-3})^{(4)(\frac{1}{4})}=2^1(a^{-3})^1=2a^{-3}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}[/tex]
[tex]=2\left(\dfrac{1}{a^3}\right)=\dfrac{2}{a^3}[/tex]
Jackson is running a 10-mile race. He runs 1 mile every 8 minutes. Jackson's distance from this finish line after x minutes is represented by the function x+8y=80
Answer:
Jackson's distance from the finish line after x minutes will be given as;
since from the statements we know that x represents the number of minutes he had run, for us to be able to calculate his distance from the finish line we simply solve the problem mathematically as follows;
x=80-8y
Step-by-step explanation:
from the initial representation we have x+8y=80,
from the preliminary statement we know x to be the number of minutes from the start of the race to the current point Jackson.
so we assume that y in the equation represents the number of distance covered by the x minutes in miles.
that is how we end up with ;
x=80-8y.
A local high school has 1250 students in grades 9 through 12. Twenty-eight percent of the students in the school are in the ninth grade. One-half of the ninth-grade students ride the bus to school. How many ninth-grade students ride the bus?
Answer:175
Step-by-step explanation:
1. Turn 28% into a decima: 0.28
2. Multiply 1250 by 0.28 to get the amount of ninth grade students:350
3. Half the amount of ninth grade students:175
Answer:
The answer is 175
Step-by-step explanation:
Because I read the problem carefully and identified that the explanation is way too long so I am gonna make this short and easy for you. I am correct, just Trust me :)