Answers
Answer:
See below.
Step-by-step explanation:
So we want to prove that:
[tex]\sqrt8+\sqrt2=3\cdot 2^{\frac{1}{2}}[/tex]
First, simplify √8. This is the same as:
[tex]\sqrt8=\sqrt{4\cdot 2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]
Therefore, our equation is now:
[tex]2\sqrt2+\sqrt2=3\cdot2^{\frac{1}{2}}[/tex]
Combine like terms on the left:
[tex]3\sqrt2=3\cdot 2^\frac{1}{2}}[/tex]
The square root of something is the same as taking that number to the one-half power. Thus:
[tex]3(2)^\frac{1}{2}}=3\cdot 2^\frac{1}{2}}[/tex]
Rewrite:
[tex]3\cdot2^\frac{1}{2}}\stackrel{\checkmark}{=}3\cdot2^\frac{1}{2}}[/tex]
And we're done!
Related Questions
What is 503.782 to the nearest then tenth
Answers
Answer: 503.8
Step-by-step explanation: 503.782 is the original fraction. To round up the number has to be 5, 6, 7, 8, or 9. The number in the hundredths place is 8. so that means the number in the tenths place can be moved up to 8 since 7+1=8.
I NEED HELP ANSWER ASAP. I NEED SOMEONE WHO CAN I HELP ME WITH MY OTHER QUESTIONS
Answers
Answer:
3,0
Step-by-step explanation:
hopefully this helps you
pls mark brainlest if it is correct
Cheri paid $6.50 for the bunch of grapes with the weight of 2.5 pounds. What is the price per pound?
Answers
Multiply. 3 2/3 x 3/4 Express your answer in simplest form
Answers
= 11/3 x 3/4
=11/4
A truck can be rented from Company A for $110 a day plus $0.40 per mile. Company B charges $80 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. PLZ HELP
Answers
Answer: i am also looking for the answer so far i’ve gotten x=200 but it told me it was wrong feel free to try it i guess
The midpoint of JK
is M(6, 3). One endpoint is J(14, 9). Find the coordinates of endpoint K.
Answers
so just sub in ur values
(6 + 14 /2) and (3+9/2)
so first add before dividing by2
(20/2) and (12/2)
then divide by 2
10 and 6
so endpoint k is
(10,6)
Please see picture
What type(s) of symmetry does this figure have?
A. Both rotational and reflectional
B. This figure is not symmetrical.
C. Rotational
D. Reflectional
Answers
(2 points)
A polynomial is divided by (x - 2), the quotient is (x – 6), and the remainder is -6
What is the original polynomial
Answers
=========================================================
Explanation:
n = numerator polynomial = unknown (what we want to solve for)
d = denominator polynomial = x-2
q = quotient = x-6
r = remainder = -6
Based on that, we can say,
n/d = q + r/d
n = q*d + r ... multiply every term by d
n = (x-6)(x-2) + (-6) .... substitution
n = x^2-8x+12-6
n = x^2-8x+6
Dividing (x^2-8x+6) over (x-2) leads to a quotient of (x-6) and a remainder of -6.
Select all the statements that are true.
Answers
Answer:
Sqrt(7) is irrational because 7 is not a perfect square.
7.1234... is irrational because it is a nonterminating nonrepeating decimal.
Step-by-step explanation:
A rational number is a number that can be expressed in terms of fractions which result in terminating decimals, repeating decimals, or integer values.
An irrational number is a number that cannot be expressed in terms of fractions resulting in nonrepreating nonterminating decimals.
All options other than the two selected do not make sense. Pi is irrational because it is a nonrepeating nonterminating decimal.
Cheers.
if the rits car is going 69mph and his destination is 4 hours and 20 minutes away how long will it take for the rits car to get to his destination.
Answers
Answer:
it will take 4 hours and 20 minutes
You have a band concert coming up. You need to make sure that everyone in the audience has a seat. 70 people bought tickets. You set 6 rows of 11 chairs. Is that enough chairs? Why or why not? Show Work!
Answers
no this is not enough chairs!
if you have 6 rows of 11 chairs it would look like this
xxxxxx
xxxxxx
xxxxxx
xxxxxx
xxxxxx
(each x is a chair)
this would mean to figure out the amount of chairs you set down you would do 6 x 11 which is 66. so you would need 4 more chairs to fit all 70 people.
10x + 36 = 8x -36
What is x?
Answers
Answer:
x= -36
Step-by-step explanation:
Hope this helps.
Answer:
[tex]x = -36[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] :
[tex]10x + 36 = 8x - 36[/tex]
-Subtract [tex]8x[/tex] from [tex]10x[/tex] :
[tex]10x - 8x + 36 = 8x - 8x - 36[/tex]
[tex]2x + 36 = -36[/tex]
-Subtract both sides of the equation by [tex]36[/tex] :
[tex]2x + 36 - 36 = -36 -36[/tex]
[tex]2x = -72[/tex]
-Take [tex]2x[/tex] divide it on both sides:
[tex]\frac{2x}{2} = \frac{-72}{2}[/tex]
[tex]x = -36[/tex]
So therefore, the value of [tex]x[/tex] is [tex]-36[/tex].
What is answer 2x+8= -4
Answers
Answer:
x=-6
Step-by-step explanation:
2x=-4-8
2x=-12
2x/2=-12/2
x=-6
Answer:
x = - 6
Step-by-step explanation:
2x+8 = 4
Subtract 8 from both sides:
2x+8-8 = - 4 - 8
Simplify :
2x = -12
Divide both sides by 2 :
2x/2 = -12/2
Simplify :
-12/2 : -6
x = -6
Hope it Helps :) !!
6. How many 1/2 hour periods will make up 4 hours?
Answers
Answer: it will take 8 periods of 1/2 hour to make up 4 hours
Step-by-step explanation:
It will take 8 periods of 1/2 hour to make up 4 hours.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Half an hour is 30 minutes,
There are 60 minutes in an hour.
4 hours=240 minutes.
240/30 = 8
Hence, 8 periods of 1/2 hour to make up 4 hours.
Learn more about Arithmetic operations
https://brainly.com/question/25834626
#SPJ5
A zoo has 15 Emperor penguins. The Emperor penguins make up 30 percent of all the penguins at the zoo. how many penguins does the zoo have?
Answers
Answer:
50 penguins
Step-by-step explanation:
Let the total number of penguins = x
30% of x = 15
[tex]\frac{30}{100}*x=15\\\\\\x=15*\frac{100}{30}\\\\x=50[/tex]
Answer:
50
Step-by-step explanation:
15 x 100 equals 1500
1500 divided by 30 equal 50
Hopefully this helps you :)
pls mark brainlest ;)
What is 1.2 equivalent to
Answers
Answer: 6/5
Step-by-step explanation:
the decimal " 1.2 " is equivalent to the fraction " 6/5 "
In the bin there is a 45% chance of randomly selecting ripe avocados. If you are picking avocados from the bin, you keep inspecting avocados and stop upon finding a ripe avocado. If you buy a bag of avocados, you do not inspect the fruit until you get home and inspect the bag of avocados all at once.
1. What is the probability that you have inclusively between 2 and 3 ripe avocados from your bag of 5 avocados?
2. What is the probability that you inspect inclusively 3 and 3 avocados from the bin?
Answers
Answer:
0.6125
Step-by-step explanation:
We have,
P(ripe avocados) = 0.45 , n = 5
by binomial distribution,
P(x=k) = [tex]${\overset{n}C}_k P^k(1-P)^{n-k}$[/tex]
P(2 ≤ x ≤ 3) = P(x=2) + P(x=3)
P(x=2) = [tex]${\overset{5}C}_2(0.45)^2(0.55)^3$[/tex]
= 10 x (0.45)² x (0.55)³
= 0.3369
P(x=3) = [tex]${\overset{5}C}_3(0.45)^3(0.55)^2$[/tex]
= 10 x (0.45)³ x (0.55)²
= 0.2756
So, P(2 ≤ x ≤ 3 ) = 0.3369 + 0.2756
= 0.6125
The triangle below is an equilateral triangle. What is the perimeter of the triangle?
Answers
Answer:
[tex]5.4x+15[/tex] inches
Step-by-step explanation:
This is an equilateral triangle.
Therefore, all sides are equal to each other. This means that we don't need to go through the whole hassle of adding up all the sides together. We can just take the easiest side and multiply it by 3 (as the perimeter of an equilateral triangle is [tex]3s[/tex], s being the side length.)
In my opinion, the side [tex]1.8x+5[/tex] is the easiest to work with.
Let's multiply this by 3.
[tex]3(1.8x+5)[/tex]
We can apply the distributive property - multiply all terms inside the parentheses by 3.
[tex]1.8\cdot 3 = 5.4\\5\cdot3 = 15\\\\5.4x+15[/tex]
Hope this helped!
What is the simplified value of the expression below rounded to the nearest hundredth? StartFraction 3.5 times 2 + 9 over 10.4 minus 1.4 times 2 EndFraction 0.28 0.89 1.91 2.11
Answers
Answer:
The answer is 2.11~! I hope I helped <3
Step-by-step explanation:
3.5x2=7 7+9=16 1.4x2=2.8 10.4-2.8=7.6 16/7.6=2.10526315789
but we simplify so, 2.10526315789 rounded to the nearest hundredth is 2.11~!
Answer:
2.11
Step-by-step explanation:
I got it correct on the test
If you are given the measurements If two sides of a triangle, what will be true about the triangle you make?
Answers
Answer:
You can make infinitely many unique triangles.
Step-by-step explanation:
You aren't given the measure of the angle that the two given sides form, therefore, the two given sides could form any angle greater than 0° but less than 180°. In each different "case", the triangle will be different, hence, the answer is You can make infinitely many unique triangles.
Answer:
you can make infinitely many unique trangles
Step-by-step explanation:
trust em i did it and got it right
4. What do your measurements in #3 tell you about the lengths of PR and QS ? Explain your thinking and then
measure to verify your conjecture. Be sure to state your measurements.
Answers
Answer:mn
Step-by-snbtep explanation:
what is 10^-9 plsplsp,sp,lskdkajgnjsogdhgjerojgjer
Answers
Venus is an average distance of 108.2 million kilometers from the sun. Use the conversion factor
Answers
0.72 AU is the answer
If each group has the greatest possible number of club members,
how many groups of sixth graders and how many groups of seventh
graders will there be? Use numbers and words to explain your answer.
Answers
Write the standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point. (Let x be the independent variable and y be the dependent
variable.)
Vertex: (-1/2,0)
point:
(-3/2,-16/3)
Answers
Answer:
[tex]y = \frac{16}{3} x^{2} + 16x + \frac{20}{3}[/tex]
2.
Josh worked 480 hours in 12 weeks. How many hours does he work in one week if he works the
same hours each week.
Answers
This year omar watched 80 movies. He thought that 54 of them were very good. of the movies he watched, what percentage did he rate as very good
Answers
Answer:
percentage flim rated very good = 54/80*100%
= 67.5%
Step-by-step explanation:
A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
A tile will be randomly selected from the bag.What is the probability in decimal form that the tile selected will
be green?
Answers
0.5 or 50% because there are 12 tiles and 6 are green. 6/12 probability simplifies to 1/2 = 0.5 = 50%
Find the z score that cuts-off the largest 9% under the standard normal curve. a) -1.34 b) 1.34 c) 0.536 d) 1.28
Answers
Answer:
b) 1.34
Step-by-step explanation:
The z score is used to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the z score is above the mean while for a negative z score implies that it is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
For the largest 9%, the score is 100% - 9% = 91% = 0.91
From the normal distribution table, the z score that corresponds to 0.91 is 1.34
what is the distance between (8, -3) and (4, -7
Answers
Answer: I HOPE IT HELPS
Step-by-step explanation:6
√
2
≈
8.49
to 2 decimal places
Explanation:
Calculate the distance ( d ) using the
distance formula
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
where
(
x
1
,
y
1
)
,
(
x
2
,
y
2
)
are 2 coordinate points
The 2 points here are (-8 ,4) and (-2 ,-2)
let
(
x
1
,
y
1
)
=
(
−
8
,
4
)
and
(
x
2
,
y
2
)
=
(
−
2
,
−
2
)
d
=
√
(
−
2
+
8
)
2
+
(
−
2
−
4
)
2
=
√
36
+
36
=
√
72
x
=
√
36
×
2
=
√
36
×
√
2
=
6
√
2
≈
8.49