Simplify: √(√21 -2√7)^2
WILL AWARD BRAINLIEST TO THE CORRECT ANSWER!!
Answer:
Solving the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex] we get [tex]\sqrt{21}-2\sqrt{7}[/tex]
Step-by-step explanation:
We need to solve the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex]
We know that [tex]\sqrt{x} = x^{\frac{1}{2}}[/tex]
Solving:
[tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}\\=((\sqrt{21}-2\sqrt{7} )^2)^\frac{1}{2}[/tex]
We know that [tex](a^2)^\frac{1}{2}=a[/tex]
= [tex]\sqrt{21}-2\sqrt{7}[/tex]
So, solving the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex] we get [tex]\sqrt{21}-2\sqrt{7}[/tex]
4t-8
select all that apply.
A: 4(t-2)
B: 4(t-8)
C: (t-2)4
D: 4(4t-2)
Answer:
A. is the answer.
Step-by-step explanation:
4t-8=4×(t-2)
4=0
t-2 add to both side of equation
t=2
What's the ratio equivalent to 15 to 60.
Answer:
1:4
Step-by-step explanation:you can simplify the ratio by finding the LCM on both sides and dividing the number by the lcm in which this case is 15.
15/15=1
60/15=4
so 1:4
The answer to the question is 1:4
Step-by-Step explanation:
We have to divide each number over here by the LCF of 15.
The LCF (Least Common Factor) of 15 is 5.
Given the LCF of 15 is 15, we will divide both given numbers by 15.
[tex]\text {60 / 15 = 4 and 15 / 15 = 1}[/tex]
We will put the numbers back in order from least to greatest.
The ratio we find is 1:4, and the answer to your question is 1:4.
Carry on Learning!
please help meeee the blue line is what I have to find please show your work
Answer:
So we have to satisfy the equation so let us simplifyLet the empty space be n N-16+4n+9+1= 10n-6 N-4n=10nn=14n So the missing value is 14N to statify the equationdetermine the coordinates
Answer:
Thus, the rule of a point P(x, y) reflected over the line y = -x
P(x, y) → P'(-y, -x)
we conclude that:
A(3, 4) → A'(-4, -3)B(3, 2) → B'(-2, -3)C(-1, 2) → C'(-2, 3)Step-by-step explanation:
We know that If a point P(x, y) is reflected over the line y = -x, the x-coordinate and y-coordinate tend to change places and the signs are reverses.
Thus, the rule of a point P(x, y) reflected over the line y = -x
P(x, y) → P'(-y, -x)
Thus, we conclude that:
A(3, 4) → A'(-4, -3)B(3, 2) → B'(-2, -3)C(-1, 2) → C'(-2, 3)Please need it finshed i will give brainliest to whoever right.
Answer:
40 + -40 = 0
Step-by-step explanation:
hope this helps!
Answer:
40 + -40 =0 (your answer)
2538494 + -2538494 = 0 (example)
4 + -4 = 0 (example)
-18 + 18 = 0 (example)
-82 + 82= 0 (example)
just as long as the first number and the second number are the same, and one is negative and the other is positive, added together the two numbers will equal zero.
find the scale factor of the dilation
Answer:
k=1/2
It is a reduction
Step-by-step explanation:
To the scale factor, you simply divide the length of the post image by the image.
10/20=k
1/2=k
A regular hexagon has an area of 750.8cm². The side length is 17cm. Find the apothem.
A. 7.4cm
B. 14.7cm
C. 21.5cm
D. 88.3cm
Joe Cool made 85% of the free throws
he attempted last season. If he made
51 free throws, how many did he
attempt?
Answer:
60 attempts
Step-by-step explanation:
Divide 51 by .85, and you get 60!
In the figure, angle K measures 45°. What is the measurement of angle C? A. 38° B. 45° C. 90° D. 98°
Answer:
B. 45°Step-by-step explanation:
C = 90° - J as CGJ is right triangleJ = 90° - K = 90° - 45° = 45° as AKJ is right triangleC = 90° - 45° = 45°Option B is correct
Answer:
45°
Step-by-step explanation:
Mr. Garza bought paper cups for his food truck. He bought 5 cartons of blue cups and 4 cartons of green cups. He ordered a total of 1,008 cups. How many cups are in each carton?
Answer:112
Step-by-step explanation:Divide 1008 by 9
Which of the following is an appropriate line of fit for the data?
1
T
2
3
4
5
6
y
8
15
23
28
37
44
Oy= 5x + 1
y = 7x + 2
2
Oy= -62 +5
Oy= 6.52
Answer:
123idbd8dbokeofyccbdid12332
Plss i need help! this is 6th grade math.
7 inches = 17.78 cm
Step-by-step explanation:
I looked it up
Answer:
17.78
Step-by-step explanation:
Each inch is 2.54cm.
We will first multiply 2.54 into 7 inches, since it is asking us for the centimeters, then our work should now look like this: 2.54 x 7 = 17.78
We can check our work by dividing the sum by the number in our equation.
17.78/7= 2.54
Find the H.C.F. of 40 and 60
Answer:
it's answer is 20
Step-by-step explanation:
hope it helps you
Given the line below, state the slope of the PARALLEL line. y=-8x + 10 what is the answer need help
Step-by-step explanation:
the slope if the equation will be -8
Find all values of X which make the equation below true | 3x + 5 | = 8
Answer:
x= -13/1,1
3x+5=8
-(3x+5)=8
x=1
x=-13/3
x=-13/3,1
Answer:
x and equal 1 or -13/3
Step-by-step explanation:
this is an absolute value equation so the equation can either equal 8 or -8. if you set up two equations that are 3x+5=8 and 3x+5 = -8 and just isolate the x, you get 1 and -13/3.
An employee works 22 days
per month. If they work an
average of 8 1/4 hours per
day, how many hours do they
work per month?
8.25 x 22 = 181.5
181.5 divided by 60 = 3.025
each month, they would work about 3 hours
Hayden plans to take a loan out to buy his Ultimate PC
Gaming Desktop. He will borrow $6,200 from the bank
at a rate of 3.5% annually. The length of the loan will be
5 years. How much interest will Hayden have to pay on
the loan? What is the total that Hayden will have to pay
the bank back?
Give step by step plz
Answer:
The rate of simple interest for loan was 8%
Step-by-step explanation:
Given
Principal amount = p = $6200
Time = t = 1 year
Amount after interest = $6696
We have to calculate the amount of interest first
So,
Interest amount =I= Amount after interest - principal amount
= 6696-6200
=$496
The formula for simple interest is:
The rate of simple interest for loan was 8%
Keywords: Simple interest, percentage
Learn more about simple interest at:
Find the value of X. I can't figure out what to do when one is at a right angle.
Answer:
x = 20
Step-by-step explanation:
Two lines are parallel. So, alternate interior angles are congruent.
x +8 + 6x - 58 = 90
7x - 50 = 90
7x = 90 +50
7x = 140
x = 140/7
x = 20
The temperature of a pot of water is 62 °F.
The temperature increases by 20 °F per
minute when being heated.
Write an equation to represent the linear
relationship.
A. y = 62x + 20 C. y = 62 + 20
B. y = 20x + 62 D. y = (62 + 20)x
Answer:
i say B
Step-by-step explanation:
the pot is 62 which means that 20 would be x due to it increasing 20 degrees per minute
Which expression is equivalent to 25?
2 + 2 + 2 + 2 + 2
5+5
0 2.2.2.2.2
5.5
DONE
Answer:
It's C because its 2 to the power of 5
Step-by-step explanation:
2x2x2x2x2
You went to the store and bought a pair of jeans for $22, new sneakers for $54 and some shirts for $12.99 each. You spent a total of $127.96. How many shirts did you buy?
Answer:
4 shirts
Step-by-step explanation:
127.96 - 76 (54+22)
51.96 / 12.99 = 4
Please solve this all of it thx!!
Answer:
6,24,12,16,18,4
Step-by-step explanation:
Brainliest please
Happy holidays
20 of the 80 coffee mugs at Carson's Pancake House are dirty. What percentage of the coffee mugs at the pancake house are dirty?
Answer:
25%
Step-by-step explanation:
20/80 in can be reduced to 1/4 and 1/4 equals 25%.
We have:
[tex]\dfrac{20}{80} = \dfrac{\%} {100}[/tex]
Solving for %:
[tex]\% = \dfrac{20\cdot 100}{80} = 25\%[/tex]
R/ 25% of coffee mugs are dirty.
find the length of the third side to the nearest tenth 6 and 9
Hello, i do believe that you are asking me to do pythagorean theorem.
I'm not too sure if we are solving hypotenuse or a/b so i'll do both.
[tex]\boxed{\underline{Hypotenuse...}}\\\\\\A^2+B^2=C^2\\6^2+9^2=C^2\;\\36+81=117[/tex]
[tex]\sqrt{117}=10.816\\Round-\;10.8[/tex]
[tex]\boxed{\underline{a/b...}}\\\\\\A^2=C^2-B^2\\A^2=9^2-6^2\\A^2=81-36\\A^2=45\\\sqrt{45}= 6.708\\Round-\;6.7[/tex]
Hope it helps!
The price of a shirt is usually £64 During a sale the prices in the shop are reduced by 3/4 How much is the shirt in the sale ?
Answer:
£16
Step-by-step explanation:
Step one:
given data
The price of a shirt is £64
When the price is reduced by 3/4, i.e 0.75
the reduced amount can be calculated as
0.75*64
=£48
Step two:
The new price or the cost of the shirt when the price is reduced is
= 64-48= £16
What's this? I don't understand
Answer:
There are two solutions
Step-by-step explanation:
The two equations intersect in two points therefore you willl have two solutions
Answer:
C. two solutions
Step-by-step explanation:
Hope this helped have an amazing day!
Solve for L.........
Answer:
L = P/2 - W
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
P = 2L + 2W
Step 2: Solve for L
Subtract 2W on both sides: P - 2W = 2LDivide 2 on both sides: (P - 2W)/2 = LDistribute division: P/2 - W = LRewrite: L = P/2 - WA researcher is interested in the relationship between time spent browsing items in an online store and the total amount purchased from the store. The researcher selects a random sample of visitors to the online store and records the time spent browsing and the total amount of their purchase. The researcher will conduct a t-test for the slope of a regression line, where time spent browsing is the explanatory variable and total amount of purchase is the response variable. Which of the following would be an indication that the normality condition has been met?
A. A sample size that is less than 30
B. A histogram of the residuals that is centered at 0 and strongly right skewed
C. A dotplot of the residuals that is centered at 0, unimodal, and symmetric
D. A boxplot of the residuals that is centered at 100 and does not provide evidence of skewness or outliers
E. A scatterplot where total amount of purchase is the explanatory variable and time spent browsing is the response variable
Answer:
C
Step-by-step explanation:
AP Classroom
Write the expression as a radical.
Answer:
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}=\sqrt{\left(5ab\right)^3}[/tex]
Step-by-step explanation:
Let us consider the expression
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}[/tex]
Writing the expression as a radical
But, let us revise some rules:
[tex]\sqrt{a}=a^{\frac{1}{2}}[/tex]
[tex]\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]\left(a\cdot \:b\right)^n=a^nb^n[/tex]
let us solve now
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}[/tex]
[tex]=5^{\frac{3}{2}}\left(ab\right)^{\frac{3}{2}}[/tex] ∵ [tex]\:5^{\frac{3}{2}}=5\sqrt{5}[/tex]
[tex]=\left(5ab\right)^{\frac{3}{2}}[/tex]
[tex]=\left(5ab\right)^{3\cdot \frac{1}{2}}[/tex]
[tex]=\left(\left(5ab\right)^3\right)^{\frac{1}{2}}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}[/tex]
[tex]=\sqrt{\left(5ab\right)^3}[/tex]
Thus,
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}=\sqrt{\left(5ab\right)^3}[/tex]
