Question:
Simplify the radical expressions
[tex]1.\ \sqrt{63[/tex] [tex]2.\ \sqrt{48[/tex] [tex]3.\ \sqrt{75[/tex] [tex]4.\ \sqrt{99[/tex] [tex]5.\ \sqrt{92[/tex]
[tex]6.\ \sqrt[3]{24}[/tex] [tex]7.\ \sqrt[3]{81}[/tex] [tex]8.\ \sqrt{128}[/tex] [tex]9.\sqrt[3]{40}[/tex] [tex]10.\ \sqrt[3]{135}[/tex]
Answer:
[tex]\sqrt{63}= 3 \sqrt7[/tex]
[tex]\sqrt{48} = 4\sqrt{3}[/tex]
[tex]\sqrt{75} = 5\sqrt{3}[/tex]
[tex]\sqrt{99} = 3 \sqrt{11[/tex]
[tex]\sqrt{92} = 2\sqrt{23[/tex]
[tex]\sqrt[3]{24} = 2 \sqrt[3]{3}[/tex]
[tex]\sqrt[3]{81} =3\sqrt[3]{3}[/tex]
[tex]\sqrt{128} = 8 \sqrt{2}[/tex]
[tex]\sqrt[3]{40} = 2 \sqrt[3]{5}[/tex]
[tex]\sqrt[3]{135} =3\sqrt[3]{5}[/tex]
Step-by-step explanation:
[tex]1.\ \sqrt{63[/tex]
Express 63 as 9 * 7
[tex]\sqrt{63}= \sqrt{9 * 7[/tex]
Split:
[tex]\sqrt{63}= \sqrt{9} * \sqrt7[/tex]
[tex]\sqrt{63}= 3 * \sqrt7[/tex]
[tex]\sqrt{63}= 3 \sqrt7[/tex]
[tex]2.\ \sqrt{48[/tex]
Express 48 as 16 * 3
[tex]\sqrt{48} = \sqrt{16*3}[/tex]
Split
[tex]\sqrt{48} = \sqrt{16}*\sqrt{3}[/tex]
[tex]\sqrt{48} = 4*\sqrt{3}[/tex]
[tex]\sqrt{48} = 4\sqrt{3}[/tex]
[tex]3.\ \sqrt{75[/tex]
Express 75 as 25 * 3
[tex]\sqrt{75} = \sqrt{25*3}[/tex]
Split
[tex]\sqrt{75} = \sqrt{25}*\sqrt{3}[/tex]
[tex]\sqrt{75} = 5\sqrt{3}[/tex]
[tex]4.\ \sqrt{99[/tex]
Express 99 as 9 * 11
[tex]\sqrt{99} = \sqrt{9} * \sqrt{11}[/tex]
Split
[tex]\sqrt{99} = 3 \sqrt{11[/tex]
[tex]5.\ \sqrt{92[/tex]
Express 92 as 4 * 23
[tex]\sqrt{92} = \sqrt{4} * \sqrt{23[/tex]
[tex]\sqrt{92} = 2* \sqrt{23[/tex]
[tex]\sqrt{92} = 2\sqrt{23[/tex]
[tex]6.\ \sqrt[3]{24}[/tex]
Express 24 as 8 * 3
[tex]\sqrt[3]{24} = \sqrt[3]{8} * \sqrt[3]{3}[/tex]
Express 8 as 2^3
[tex]\sqrt[3]{24} = \sqrt[3]{2^3} * \sqrt[3]{3}[/tex]
[tex]\sqrt[3]{24} = 2 \sqrt[3]{3}[/tex]
[tex]7.\ \sqrt[3]{81}[/tex]
Express 81 as 27 * 3
[tex]\sqrt[3]{81} =\sqrt[3]{27}*\sqrt[3]{3}[/tex]
Express 27 as 3^3
[tex]\sqrt[3]{81} =\sqrt[3]{3^3}*\sqrt[3]{3}[/tex]
[tex]\sqrt[3]{81} =3\sqrt[3]{3}[/tex]
[tex]8.\ \sqrt{128}[/tex]
Express 128 as 64 * 2
[tex]\sqrt{128} = \sqrt{64} * \sqrt{2}[/tex]
[tex]\sqrt{128} = 8 \sqrt{2}[/tex]
[tex]9.\sqrt[3]{40}[/tex]
Express 40 as 8 * 5
[tex]\sqrt[3]{40} = \sqrt[3]{8} * \sqrt[3]{5}[/tex]
[tex]\sqrt[3]{40} = \sqrt[3]{2^3} * \sqrt[3]{5}[/tex]
[tex]\sqrt[3]{40} = 2 \sqrt[3]{5}[/tex]
[tex]10.\ \sqrt[3]{135}[/tex]
Express 135 as 27 * 5
[tex]\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}[/tex]
Express 27 as 3^3
[tex]\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}[/tex]
[tex]\sqrt[3]{135} =3\sqrt[3]{5}[/tex]
Evaluate the expression, mn if m=8 and n=3.
Step-by-step explanation:
Given. m = 8 , n = 3
mn = 8 * 3 = 24
Hope it will help :)
Answer:
hello
Step-by-step explanation:
if "m" is equal to 8 and "n" is equal to 3
then mn=8×3=24
have a nice day
bye
inequalities!! please help!!
Answer:
x=24
Step-by-step explanation:
$;$"+";$;";";'+$-$$+$+$+_+
PLEASE HELP ME IM DOING A TEST :Write in point-slope form an equation of the line that passes through the point (5, 9) with slope 7. ____
Answer:
y-9+7(x-5)
Step-by-step explanation:
y - x1 = m ( x - y1 )
Y1 = 9
x1 = 5
m=slope (in this case 7)
Answer:
[7x-y-26=0]
Step-by-step explanation:
point slope form =
y-y1=m(x-x1)
=
y-9=7(x-5)
=
[7x-y-26=0]
you may want the y-9=7(x-5) as your answer
second part of this is for vertex form
/////// vertex form ///////Use formula y=mx+b where m is slope
y is equal to 9
x is equal to 5
b=?
m=7
9=7*5+b ---> b= -26
////////////////
An animal shelter currently has 20 cats and 25 dogs. what is the ratio of cats to dogs? (PLEASE ANSWER QUICKLY)
Answer:
4:5
...................
The tuition for a state resident to attend a particular state college is $8000 this year. The tuition is expected to increase 6.25% per year for the next 5 years. Write an equation to represent the situation.
Answer:
8,000^0.0625=5
Step-by-step explanation:
Lol I was doing my homework rn and I wasn't 100% sure of my answer so I looked it up on brainly. So an exponential equation should look like this e^a=b so with the three values $8,000 , 6.25% , and 5 years I kind of just mixed around the numbers a bit in the exponential equation till one worked. So yeah...
Answer:
f(t)=8000e^(0.0625)(5)
Step-by-step explanation:
exponential growth function is f(t)=Pe^(rt)
where P is starting value, or price
e is the e on you calculator
r is rate of increase, in this case 6.25/100 is 0.0625, which is the rate
t is the time given
Hope this helps, also had this on my math hw today lol :)
Help please!! Solve for y.
Answer:
y = 3[tex]\sqrt{7}[/tex]
Step-by-step explanation:
The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is
[tex]\frac{y}{9}[/tex] = [tex]\frac{7}{y}[/tex] ( cross- multiply )
y² = 63 ( take the square root of both sides )
y = [tex]\sqrt{63}[/tex] = 3[tex]\sqrt{7}[/tex]
Please help!! It is the last problem I need to do before I am free!! Thank you!!!
Answer:
94 + 41 + 69 + 156= 360
up: 156
down: 69
180-156 = x = 24
I think
Angle X and angle Y are supplementary If angle X measures 142
degrees, what is the measure of angle Y?
-thank u sm if u answer
What is perimeter of the semi circle?
Answer:
54.22 mm
Step-by-step explanation:
Find the circumference of the circle and then divide it by 2.
We start with the formula for the circumference for the circle:
C = 2πr
To find r, divide 22 by 2:
22/2=11
Now find the cicumference:
C = 2πr = 2(3.14)(11) = 108.46 mm
NOW, to find the perimeter of the semicircle, divide the circumference by 2:
108.46/2 = 54.22 mm
Simplify
x + x + y + y
Answer:
2x + 2y
Step-by-step explanation:
there are 2 x's and y's.
Is this number prime or composite 70
70 is a composite number because it can be divided by numbers other than one and itself.
Answer:
70 is composite
Step-by-step explanation:
Its last digit is 0. That means it's 100% composite.
help click all the questions
Answer:1,grams 2,b 3, id k srry
Step-by-step explanation:
si no saben no contesten
WILL GIVE BRAINLIEST
Answer:
9
Step-by-step explanation:
Answer:
-1.8
Step-by-step explanation:
-9 divided by 5= -1.8
Hope this helps!! Please mark brainlliest. :) :)
calculate the profit as a percentage of the cost price ,and correct to one decimal place
Answer:
(profit / cost price) * 100
Answer:
I could be 0.4 100= 40% I think I'm right but if I'm not I'm so sorry
There are 15 neon tetras and 12 betta fish in a
fish tank. What is the ratio of betta fish to the
total number of fish? Write the ratio on simplest
form.
Read the question very carefully, notice the phrase "total number of fish"
HELP PLEASE
Answer:
4:9 or 4/9 depending on how your teacher or computer program wants it entered. Some use the colon (:) some use the slash (/).
Step-by-step explanation:
1. Betta fish = 12
2. Total fish = 27 (15 neon + 12 betta)
3. 12:27 or can be writte as 12/27 depending on your teacher or computer program.
4. Can be simplified by dividing by 3
12/3 and 27/3
5. 4:9 or 4/9
A concert venue has 20 seats in the first row and an 5 additional seats in each successive row. If there are 35 rows of seats then how many people can attend a sold-out show? 3,675 190 2,100
Answer:
3,675 people
Step-by-step explanation:
First row, a = 20
Common difference, d = 5
number of terms, n = 35
Sn = n/2 {2a + (n - 1)d}
= 35/2 {2*20 + (35 - 1)5}
= 35/2 {40 + ( 34)5}
= 17.5(40 + 170)
= 17.5(210)
= 3,675 people
The answer is actually 3675.
My reasoning: Plug it in and you shall see!
A skateboard ramp has a slope of 4/9. What is the measure of the angle the ramp forms with the ground
Answer:
Step-by-step explanation:
tanθ = 4/9
θ = arctan(4/9) ≈ 23.96°
The measure of the angle the ramp forms with the ground is :
-Angle is 23.96 degrees.
"Measure of the angle"Let the angle is = x
We know that tan(x) is the slope.
tan(x)=\frac{4}{9}
tanθ = 4/9θ
tanθ = arctan(4/9)
tanθ≈ 23.96°
Learn more about slope:
https://brainly.com/question/3493733
Please help I’m running out of time
Answer:
The answer is 7،3
Step-by-step explanation:
[tex]3 {(x - 5)}^{2} - 1_11 =0 \\ = 3( {x}^{2} - 10x + 25) - 12=0 \\ = 3 {x}^{2} - 30x + 75 - 12=0 \\ = 3 {x}^{2} - 30x + 63=0
(x-7)(x-3)=0
X=7
X=3
add 1
divide by 3
square root
add 5
by following these steps you find that x = 7
6- X / 6 (when x =7) * Do Not reduce
Answer:
-1/6 (- 1/6)
Step-by-step explanation:
6 - 7 = - 1
-1 / 6 = -1/6
[- 1/6 simplified]
if Kayla ran 2/3 of a mile in 8 minutes. If Kayla runs at
that speed, how long will it take her to run one mile?
Answer:
12 minutes
Step-by-step explanation:
First figure out how long it took her to run 1/3 of the mile.
2/3 ÷ 2 = 1/3
8 ÷ 2 = 4
So she ran 1/3 in 4 minutes.
Multiply that answer by 3 to get your full mile.
1/3 * 3 = 1 mile
4 * 3 = 12 minutes
Answer:
12 minutes
Step-by-step explanation:
In my brain, I divide the run into three parts (because the fraction has a base of three). If I ran two parts of those three in eight minutes, then to find the amount of time it took to run one part (cause that's how much we need to add), I need to divide the time by two, and then add it to the 8 minutes. When the math is done, a third of a mile can be ran in 4 minutes, which means that an entire mile can be ran in 12 minutes.
X^2+ 14x = -33
Quadratic equation
x=-3
x=-11
because
x(x+14)=-33
so if x = -11 it will be 3*-11
and if x= -3 it will be -3*11
Answer:
x = -3, -11
Step-by-step explanation:
First, factor
Get all the terms on one side by adding 33 to both sides:
[tex]x^2 + 14x + 33 = 0[/tex]
now, you want to find two numbers that add up to 14 and multiply to 33.
those numbers would be 3 and 11.
so you can then make it:
[tex](x + 3)(x+11)=0[/tex]
you know that either x + 3 or x + 11 = 0,
so you can say:
x + 3 = 0
x = -3
ork
x + 11 = 0
x = -11
so x = -3, -11.
For further info you can go to: bit. ly / khanacademyquadratics
Let g(x) be the reflection across the x-axis of the function f(x) = 7x + 3. Identify the rule for g(x).
Answer:
(x,y) => (x, -y)
Step-by-step explanation:
[tex]y = 7x + 3[/tex]
[tex] - y = 7x + 3[/tex]
[tex]y = - 7x - 3[/tex]
so
[tex]g(x) = - 7x - 3[/tex]
Hence, [tex]g(x) = - 7x - 3[/tex].
What is the function?
Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.
Here given that,
Let [tex]g(x)[/tex] be the reflection across the x-axis of the function [tex]f(x) = 7x + 3[/tex]. Identify the rule for [tex]g(x)[/tex].
So,
[tex]y = 7x + 3\\-y= 7x + 3\\y = - 7x - 3\\g(x)=- 7x - 3[/tex]
Hence, [tex]g(x) = - 7x - 3[/tex].
To know more about the function
https://brainly.com/question/10500042
#SPJ2
please help me with this quadratic equation question..... I will give brainliest if you answer
Please help ASAP.....
Answer:
a
Step-by-step explanation:
12. Used to prove that a conjecture is false.
a) Counterexample
c) Concluding statement
b) Inductive Reasoning
d) Conjecture
Answer:
A. Counterexample
Step-by-step explanation:
ounterexample can be a drawing, a statement, or a number.
Which of the equations below shows the relationship in the table
What is this answer?
Answer:
I'm pretty sure it's the last one
There are 13 girls and 12 boys in a zoom dass. Of these students, 9 girls and 5 boys always have their camera's on. What percentage of the students have their camera's on? (6.5B) zoom
Answer:
56%
Step-by-step explanation:
9 girls + 5 boys have cameras on
this is 14 out of 25, or 56%
MULTIPLE CHOICE
What is your output when x is -5?
A. 1
B. -9
C. -1
D. 9