Answers
Answer:
a) 2
b) [tex]\frac{4x}{y}[/tex]
Step-by-step explanation:
a) [tex]\frac{\sqrt{500} }{\sqrt{5} }[/tex]
We can rewrite 500 as 100*5 and 100 is [tex]10^2[/tex] causing the 10 to come out of the root.
[tex]\frac{10\sqrt{5} }{\sqrt{5} }[/tex]
Rationalize.
[tex]\frac{10\sqrt{5} }{\sqrt{5} }*\frac{\sqrt{5} }{\sqrt{5} } =\frac{10}{5}=2[/tex]
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b) [tex]\frac{\sqrt{48x^3} }{\sqrt{3xy^2} }[/tex]
48 can be rewritten as 6*8 and 8 can be rewritten as [tex]2^2*2[/tex]
[tex]\frac{\sqrt{6*2^2*2x^3} }{\sqrt{3xy^2} }[/tex]
[tex]\frac{2\sqrt{6*2x^3} }{\sqrt{3xy^2} }[/tex]
[tex]\frac{2\sqrt{12x^3} }{\sqrt{3xy^2} }[/tex]
12 can be rewritten as 4*3 and 4 can be rewritten as [tex]2^2[/tex]
[tex]\frac{2\sqrt{2^2*3x^3} }{\sqrt{3xy^2} }[/tex]
[tex]\frac{2*2\sqrt{3x^3} }{\sqrt{3xy^2} }[/tex]
[tex]\frac{4\sqrt{3x^3} }{\sqrt{3xy^2} }[/tex]
[tex]x^3[/tex] is the same as [tex]x^2*x[/tex] causing x to come out of the root, as well as y.
[tex]\frac{4x\sqrt{3x} }{y\sqrt{3x} }[/tex]
Rationalize
[tex]\frac{4x\sqrt{3x} }{y\sqrt{3x} }*\frac{\sqrt{3x} }{\sqrt{3x} } =\frac{4x*3x}{y*3x} =\frac{12x^2}{3xy}=\frac{4x}{y}[/tex]
Related Questions
If I have a probability of 2/5, what is the percentage of probability.
A. 52%
B. 40%
C. 2.5%
D. 80%
Answers
2 divide by 5= 0.4 which equals to 40%
Answer: 40%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 2/5 as a percent, we need to find a fraction equivalent to 2/5 that has a 100 in the denominator.
We can do this by setting up a proportion.
[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{2}{5} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (2)(100) which is 200 is equal to (5)(n) or 5n.
So we have 200 = 5n.
Next, dividing both sides of the equation by 5, we have 40 = n.
So 2/5 is equal to 40/100 or 40%.
A line passes through the point (6,-6) and has a slope of 3/2. Write a equation in point-slope form for this line
Answers
Answer: [tex]y+6=\frac{3}{2} (x-6)[/tex]
Step-by-step explanation:
use the equation [tex]y-y_{1} =m(x-x_{1})[/tex]
we know the slope, y, and x, so plug in
[tex]y-(-6)=\frac{3}{2} (x-(6))[/tex]
[tex]y+6=\frac{3}{2} (x-6)[/tex]
Answer:
[tex]y=\frac{3}{2}x-15[/tex]
Step-by-step explanation:
The point-slope equation is [tex]y-y_{1} =m(x-x_{1} )[/tex]
Here our m is our slope which is [tex]\frac{3}{2}[/tex] and our [tex](x_{1},y_{1})[/tex] point is (6, -6)
Plugging in these values to our equation gives us
y - (-6) = [tex]\frac{3}{2}[/tex](x - 6) → distribute the negative to the -6 on the left side and then distribute the [tex]\frac{3}{2}[/tex] to the x term and the -6 on the right side → y + 6 = [tex]\frac{3}{2}x[/tex] - 9 → then subtract the 6 from both sides → [tex]y=\frac{3}{2} x-15[/tex]
The workers in a senate office said that they received about 700 phone calls from voters last week. Which could be the number of phone calls the office received that would round to 700 when rounded to the nearest 100?
Answers
Answer:
see below
Step-by-step explanation:
Any number between 650 and 749, 650 and 749 are included as well
if number is 50 and above it goes up
Two sides of a triangle are as follows: 2 centimeters and 5 centimeters. Describe the possible lengths of the third side
Answers
Answer:
3cm < Third side < 7cm
Thus third side can take any value between 3cm and 7 cm
(note: excluding 3 cm and 7 cm)
If the value are integral then possible values of third side are
4cm, 5cm,6cm
Step-by-step explanation:
This question can be solved using given by Triangle Inequality Theorem Given below.
Sum of two sides is always greater than value of third sideDifference of two sides is always less than value of third sideGiven two sides are 2cm, 5cm
Sum of two sides = (2+5)cm = 7 cm
Difference of two sides = (5-2) = 3 cm
Let the third side be X
thus according to Triangle Inequality Theorem
X < Sum of two sides of given triangle
X < 7cm -----1
X > Difference of two sides
X > 3cm ----1
combining expression 1 and 2 we have
3cm < X < 7cm
Thus third side can take any value between 3cm and 7 cm
(note: excluding 3 cm and 7 cm)
If the value are integral then possible values are
4c, 5cm,6c
probability
1/4
3/4
1/2
5/8??
Answers
Answer:
1/2
Step-by-step explanation:
There are exactly 6 shaded regions; for every shaded region, there is also an unshaded region -- making this value 6 as well.
There are 12 possible outcomes, and 6 events
To determine probability, we divide the number of events by the number of possible outcomes, like this:
[tex]6/12=1/2\\1/2=.50\\[/tex]
.50 = 50% or 1/2 chance.
#SpreadTheLove
Which expression is equivalent to the following complex fraction?
Answers
Answer:
Step-by-step explanaAnswer:
\frac{-2y+5x}{3x-2y}
Step-by-step explanation:
Given:
\frac{\frac{-2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}
To simplify this expression, first make the addition and the subtraction, to get:
\frac{\frac{-2y+5x}{xy}}{\frac{3x-2y}{xy}}=
Next, simplify the two denominators, to get:
\frac{-2y+5x}{3x-2y}tion:
So the right answer is of option B.
Look at the attached picture
Hope it will be helpful to you ..
The louvre museum is a metal and glass structure that serves as the main entrance to the louvre museum paris, france. The pyramid has a volume of 8820 cubic meters. The base is a square with sides that are 35 meters long. Calculate the surface area of the louvre pyramid
Answers
Answer:
A≈3170.96m²
Step-by-step explanation:
I need the answer please help me
Answers
Answer:
opposite angles have the same number of degrees. so answer is 63 degrees.
Step-by-step explanation:
Answer:
Step-by-step explanation:
∠NMR = 63°
Vertically opposite angles are equal.
(-15)+(-45)/-5 .........please help
Answers
Answer:
60
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
I added (-15) + (-45) and got -60.
And i divided it by -5 and got 12.
Which function represents f(x)=3^x ?
Answers
Answer:
The answer would be function 2.
Step-by-step explanation:
I found this out by plugging in 0 into x. What I got then was one. So I found that function 2 has a spot on 0, 1. that is how I got the answer.
Brainliest would be appreciated.
Answer:
it is function 2
i plugged it in on desmos graph
The polynomial f(x) is written in factored form:
f(x) = (x - 3)(x + 8)(x - 11)
What are the zeros of the polynomial function?
O x = 3, x = 8, x = 11
O x = 3, x = -8, x = 11
OX=-3, x = 8, X = -11
x = -3, x = 3, x = -8, x = 8, x= -11, x = 11
Answers
Answer:
F(x)=(x-3)(x+8)(x-11)=0
(x-3)=0, (x+8)=0, (x-11)=0
X=3
X=-8
X=11
What is the sum of these expressions: (-3.5t - 4s + 4.5) + (-7.1 - 0.3s + 4.1t)
Answers
Answer:
0.6-4.3s-2.6
Step-by-step explanation:
Answer:
-4.3s + 0.6t - 2.6
Step-by-step explanation:
The following balls are placed in an urn: 4 red, 2 yellow, 4 blue, and 2 green. One ball is randomly drawn from the urn. What is the probability that the ball
Is either yellow or green?
Answers
Answer:
1/3 as;
16.66665/100 + 16.66665/100 = 33.33/100
Convert to 12 = 4+4+2 +2 = 4/12
Step-by-step explanation:
or 1/3
What is the area of the triangle?
Answers
Answer: 24
Step-by-step explanation:
Area = 1/2 x base x height
Answer:
24cm²
Step-by-step explanation:
So you do 8×4=48 (a square) then half it (triangle) which becomes 24cm²
Well, a simple way to do it is to do base × height then half it
Can someone help me with my maths I’ll give brainliest.
Answers
Answer: A is 40
B is 92.5
C is 27.5
Step-by-step explanation:
What is the range of the relation?
[(-4, 3), (-4, 4), (-3, 1), (1, 1)}
{-4, -4,-3, 1}
{-4, -3, 13
{1, 1, 3, 4]
{1,3,4
Answers
So the right answer is of option D.
Look at the attached picture..
Additional Information:
The second components of a relation is called range
Hope it will be helpful to you. .
The range of the function is {-4, 4, -3, 1}.
What is the range of the function?The range of a function is a set of all its possible outputs.
The range is the spread of the values of the output of a function. If we are able to calculate the maximum and the minimum values of the function, we can get an idea of the range of the function.
The given relation is;
[(-4, 3), (-4, 4), (-3, 1), (1, 1)}
The range of a function refers to the entire set of all possible output values of the dependent variable.
The range of a function is a set of all its possible outputs.
The range of the function is {-4, 4, -3, 1}.
Learn more about the range here;
https://brainly.com/question/393946
#SPJ2
Write the expression as a monomial in its standard form: 8p^15 x (–p)^4 PLEASE ANSWER ASAP!!! Thank you!
Answers
Answer:
8 p^ (19)
Step-by-step explanation:
8p^15 x (–p)^4
Since this is even, a negative number to an even power is the same as the positive number to the even power
8p^15 x (p)^4
We know a^b * a ^ c = a^ (b+c)
8 p^(15+4)
8 p^ (19)
2/5 of it is 22.\
help
Answers
Answer:
55
Step-by-step explanation:
First, you do 22 divided by 2, which is 11. Then, you would multiply that by 5 which equals 55. So, the number is 55.
Answer:
55
Step-by-step explanation:
x=missong number
of means *
2/5 * x = 22
multilpy both sides by 5/2
x =22* 5/2
x = 55
I need some help with this question, I got a different answer.
Answers
Answer:
The median is the middle number.
Step-by-step explanation:
You have to order the numbers from least to greatest, or greatest to least, and choose the number in the middle. Since there is an even number of values, you have to take the mean of the two middle numbers. I hope this helps.
2 divided by one over 3 the awnser is a fraction
Answers
Answer:
1/6
Step-by-step explanation:
2/1÷ 1/3 (First make 2 a fraction, because 2= 2/1 we will use 2/1)
1/2÷ 1/3 (Now we flip the numerator and denominator on a fraction)
1/2 (1/3) (Now we multiply straight across numerator times numerator, denominator times denominator)
1/6 (This is our answer!)
Hope this helped! Stay safe and have a good day or night!
The area of a parallelogram 420 square cm and the height is 35 cm. Find the corresponding base.
Answers
Answer:
12
Step-by-step explanation:
420/35
12
12*35=420
Answer:
The corresponding base is 12 cm.
Step-by-step explanation:
The area of a parallelogram is calculated with the formula of A=bh, where b is the base and h is the height.
You can apply the problem to the formula:
420=b(35)
To solve, work backwards.
Divide 35 to both sides.
420 divided by 35 is 12
b=12
Hope this helps!
Suma inverselor a două numere raționale este , iar diferența inverselor numerelor este . Calculați suma și produsul numerelor.
Answers
Answer:
The sum of the inverses of two rational numbers is 5 by 6, and the difference of the inverses of the numbers is 1 by 6. Calculate the sum and product of numbers.
Sum = a + b = 5
Product = a ₓ b = 6
Step-by-step explanation:
[tex]\frac{1}{a} +\frac{1}{b} =\frac{5}{6}[/tex]
[tex]\frac{1}{a} -\frac{1}{b} =\frac{1}{6}[/tex]
Add both equations together
[tex]\frac{1}{a} +\frac{1}{a} +\frac{1}{b} -\frac{a}{b} =\frac{5}{6} +\frac{1}{6}[/tex]
2 / a = 6/6
2 / a = 1
a = 2
we replace in any relation a
1 / 2 + 1 / b = 5 / 6
3b + 6 = 5b
5b - 3b = 6
2b = 6
b = 3
Sum = a + b = 2 + 3 = 5
Product = a ₓ b = 2 ₓ 3 = 6
Can someone please help me?
Answers
Answer:
-2
Step-by-step explanation:
Solve the following equation for x. x2 + 8x + 7 = 0 A. x = -1; x = -7 B. x = 1; x = -7 C. x = 1; x = 7 D. x = -1; x = 7
Answers
So the right answer is of option A.
Look at the attached picture
Hope it will be helpful to you..
Answer:
a
Step-by-step explanation:
i took this text
I WILL GET A ZERO SO PLEASE HELP! THANKS!!!
Answers
Plz mark brainliest
Answer:
m = 6
Step-by-step explanation:
3.4m = 20.4
3.4m/3.4 = 20.4/3.4
m = 6
"
5 ft
A
13 ft
a.
sin A=7
islam
/
A= 12,
A = 12 sec A
-
12
cos A = 132
n la
12
COS A = 13
CP
5, CSC A =
b.
sin A = , tan A = o, sec A = 1
12
sin A = 13, tan A =
12
5, sec A =
13
12
COS A = 5, cot A = 5, CSC A =
al
5
COS A = 13, cot A = 12, CSC A -
Answers
Answer:
i don't understand what the question is please explain what the question is.
math question below
Answers
Answer: The package reaches the ground in
4.67 s
and hits the ground with a speed of
33.8 m/s
Answer:
3m/s or option 1
Step-by-step explanation:
Given,
Height(h)=90m
time(t)=30s
Speed(v)=?
Now,
Speed(v)=distance/time
v=height/time(Since,height here is the distance covered by the balloon)
v=90/30
v=3
Unit of speed is m/s
Therefore,v=3m/s
By the way,this is a question related to physics
A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid
Answers
Answer:
8mStep-by-step explanation:
Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;
a is the base edge
a² is the base area
h is the slant height
Given Volume of the pyramid V = 384m³
Base area a² = 144m²
h =?
On substituting to get the slant height;
[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]
The slant height of the pyramid is 8m
Help!!!!!!
Describe the process you can use to solve a system of equations using a matrix.
Answers
Answer:
To solve a system of linear equations using an inverse matrix, let A be the coefficient matrix, let X be the variable matrix, and let B be the constant matrix.
Step-by-step explanation:
It just be that way sometimes
if y=4x-1, determine the value of y when x=7/2
Answers
Answer:
y=13
Step-by-step explanation:
Answer:
y =13
Step-by-step explanation:
y=4x-1
Let x = 7/2
y = 4(7/2) -1
y = 14 -1
y =13
