Answers
Answer:
B
Step-by-step explanation:
[tex]6^{\frac{1}{4} } b^{\frac{3}{4} }c^{\frac{1}{4} }\\\\=(6^1b^3c^1)^{\frac{1}{4} }\\\\=(6b^3c)^\frac{1}{4} \\\\=\sqrt[4]{6b^3c}[/tex]
so answer is B
[tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] expressed as a radical is d. [tex]\sqrt[4]{(6b^{3}c )}[/tex]
To answer the question, we need to know what radicals are.
What are radicals?Radicals are roots of numbers. They are written in the form [tex]\sqrt[n]{x}[/tex] where n is the nth root of x.
Now given that we want to express [tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] as a radical, we having using the laws of indices
[tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} } = (6b^{3}c )^{\frac{1}{4} } \\6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }= \sqrt[4]{(6b^{3}c )}[/tex]
Thus, we have expressed it as a radical.
So, [tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] expressed as a radical is d. [tex]\sqrt[4]{(6b^{3}c )}[/tex]
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Related Questions
Piper went to the store to buy some apples. The price per pound of the apples is $5.25 per pound and she has a coupon for $4.75 off the final amount. With the coupon, how much would Piper have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy pp pounds of apples, assuming at least one pound is purchased.
Answers
Explain—— 5.25 per pound x 3pp =15.75
Coupon 4.75 off final amount
15.75 - 4.75=11.00
Answer:
Cost of 3 pounds:
5.25(3)−4.75=11
Cost of p pounds:5.25p-4.75
5.25p−4.75
Step-by-step explanation:
Since 1 pound of apples costs $5.25, 3 pounds of apples would cost $5.25 5.25×3 or $15.75. The coupon would save $4.75, so the final cost is $15.75-$4.75 or $11.
Cost of 3 pounds:
5.25(3)−4.75=11
Cost of p pounds:5.25p-4.75
5.25p−4.75
Solve the equation for d.
Answers
Answer:
[tex]d=\frac{f+4}{3}[/tex]
Step-by-step explanation:
3d - 4 = f
add 4 to both sides
3d = f + 4
divide both sides by 3
d = f/3 + 4/3
If f(x) = 8.3x + 8.1, solve f(x) = 65.37. Type your answer as a decimal rounded to the nearest tenth.
Answers
Answer:
The answer is 6.9Step-by-step explanation:
f(x) = 8.3x + 8.1
To solve f(x) = 65.37 , equate f(x) to 65.37 and solve for the value of x
That's
8.3x + 8.1 = 65.37
Subtract 8.1 from both sides
That's
8.3x + 8.1 - 8.1 = 65.37 - 8.1
8.3x = 57.27
Divide both sides by 8.3
[tex] \frac{8.3x}{8.3} = \frac{57.27}{8.3} \\ x = 6.896385[/tex]
We have the final answer as
6.9 to the nearest tenthHope this helps you
B is between A and C. If AB = 7x - 2, BC = 3x + 1 and AC = 59, Find AB
Answers
Answer:
AB = 40Step-by-step explanation:
B is between A and C so:
AB + BC = AC
7x - 2 + 3x + 1 = 59
10x - 1 = 59
+1 +1
10x = 60
÷10 ÷10
x = 6
AB = 7x - 2 = 7×6 - 2 = 42 - 2 = 40
A muffin recipe uses 1/3 cup of milk per batch. Which model shows how many batches can be made with 3 cups.
Answers
Answer: 1/3
Step-by-step explanation:
What is X= to and what does Y= to?
Answers
Step-by-step explanation:
Straight line = 180 °
5x + 78 = 180
5x = 180 - 78
5x = 102
x = 20.4
and y = 78 ° because y is an opposite angle of 78 °
5x + y = 180 degrees
Or, 5x+ 78 = 180 degrees
Or, 5x= 180-78
Or, 5x=102 degrees
Or, 5x=102/4
Therefore, x=20.4 degrees
round -6(5-7s)=20 pls help
Answers
Answer:
Step-by-step explanation:
-6(5-7s) = 20
-30 + 35s = 20
Add 30 both sides
35s = 50
Divide by 35 both sides
S=1.4
BOYS AND GIRLS there were 6 girls and 18 boys in Mrs.Johnsons math class. write the number of girls as a fraction of total class. then write the fraction as a decimal.
Answers
On a school playground, a math teacher draws a number line with values from 10 to 10. The distance between each
consecutive number is 1 meter. Rebecca is standing at +4, and her friend Cedric is standing at -8.
What is the straight-line distance between the two friends, in meters?
Answers
Answer:
12
Step-by-step explanation:-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
count the spaces between the two numbers
The number line is the representation of numbers in real order.
The number line can be assumed as:
-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10
(Cedric) (Rebecca)
The straight-line distance between the two friends, in meters, is 11 meters.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
On a school playground, a math teacher draws a number line with values from 10 to 10.
The distance between each consecutive number is 1 meter.
We can assume the number line to be as,
-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10
(Cedric) (Rebecca)
The distance between Cedric and Rebecca.
= 4 - (-7)
= 4 + 7
= 11
Thus,
The straight-line distance between the two friends, in meters, is 11 meters.
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The area of a circle is 201cm² . what is the diameter ?
Answers
The answer is 16 cm approx.
Diameter= 2[tex]\sqrt{a/pi}[/tex]
=>2[tex]\sqrt{201 / 22/7}[/tex]
=>2[tex]\sqrt{201*7/22}[/tex]
=>15.997.......
=> 16 approx
Hope this helps you!!
Answer:
The diameter of the circle is 16
Step-by-step explanation:
[tex]\pi = 3.14[/tex]
Area = [tex]\pi r^{2}[/tex] you will have to use this formula to find the radius
[tex]\pi r^{2} = 201[/tex] = [tex]3.14r^{2}=201[/tex] (divide 3.14 into both sides)
[tex]\frac{3.14r^2}{3.14} = \frac{201}{3.14}[/tex] cross out 3.14 leaves you with [tex]r^2[/tex] and divide 201/3.14= 64.01
[tex]r^2 = 64.01\\r = \sqrt{64.01}\\r = 8[/tex] square root 64.01 which equals 8
Diameter = [tex]2r[/tex] 2(8) = 16
To check answer use Area formula [tex]\pi (8)^{2}[/tex] = 201. 0619298
ms tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly. If she does not add to or withdraw from the account for 2 years, how much interest will she have earned for the 2-year period?
Answers
$2050
Step-by-step explanation:$20000×1.05×1.05 =
= $20000×1.05²
= $20000×1.1025
= $22050
$22050 - $20000 = $2050
The interest earned for a 2-year period is $2050
What is compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, Ms Tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly, she does not add to or withdraw from the account for 2 years,
We know that,
[tex]A = P(1+r)^t[/tex]
A = amount
P = principal
r = rate
t = time
Putting all the values in the formula,
A = 20000(1+0.05)²
A = 20000(1.05)²
A = 20000×1.1025
A = 22050
Interest earned = Amount - Principal
= 22050 - 20000
= 2050
Hence, the interest earned for a 2-year period is $2050
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Write a function g whose graph represents the indicated transformation of the graph of f.
f(x) = 4 - 6x +11
Answers
Answer:
well definitely the graph is y= -6x + 15 so the graph of -6x is transformed up 15 units on the y axis
Step-by-step explanation:
Write "twenty-four and seventy thousandths" using base-ten numerals.
Answers
Answer:
24.070
Step-by-step explanation:
twenty-four and seventy thousandths
24
and means change from integers to fractions
24 70/1000
or as a decimal
24.070
3(a - 1) + 2a = a + 1
Answers
Answer:
a = 1
Step-by-step explanation:
Step 1: Write equation
3(a - 1) + 2a = a + 1
Step 2: Solve for a
Distribute 3: 3a - 3 + 2a = a + 1
Combine like terms: 5a - 3 = a + 1
Subtract a on both sides: 4a - 3 = 1
Add 3 on both sides: 4a = 4
Divide both sides by 4: a = 1
How long does it take an airplane to fly 4000 m if it maintains a speed of 200 meters per second?
Answers
Answer:
20 seconds.
Step-by-step explanation:
Divide 4000 by 200.
Which function has a domain of x>-5?
Answers
Answer:
f(x)=x-5 is a linear function
Step-by-step explanation:
so there are no restrictions to what x can be. The domain is all real numbers. In interval notation, we show that is can be anything from negative infinity through infinity like this: This says that the lower limit of the domain is negative infinity and the upper limit is positive infinity.
g^5-h^3 if g= 2 and h= 7
Answers
Answer:
-318
Step-by-step explanation:
2^5 - 7^3
25 - 343
= -318
Answer:
[tex]\boxed{\tt -311}[/tex]
Step-by-step explanation:
We are given the expression:
[tex]g^5-h^3[/tex]
and asked to solve when [tex]g=2[/tex] and [tex]h=7[/tex].
Substitute 2 in for g and 7 in for h.
[tex](2)^5-(7)^3[/tex]
Evaluate the exponents.
⇒ 2⁵= 2*2*2*2*2= 32
[tex]32-(7)^3[/tex]
⇒7³= 7*7*7=343
[tex]32-343[/tex]
Subtract 343 from 32.
[tex]-311[/tex]
The expression g⁵-h³ evaluated for g=2 and h=7 is equal to -311
Please help! I don't know if my answer is correct.
Answers
Answer:
c/20 cups
Step-by-step explanation:
Number of students in the baking club = 10
If each student made 2 cakes
then total cakes prepared by the students = 10 × 2 = 20
If total amount of flour used to prepare 20 cakes = c cups
and amount of flour used to prepare one cake = n cups
Then amount of flour used to prepare 20 cakes = 20n
Therefore, total amount of flour c = 2n
or n = c/20
Amount of flour used for one cake = c/20 cups
Answer:
the answer is c/20 cups!
Step-by-step explanation:
Yay you did great good job
Lane paints a square-shaped section of a
fence with an area of 75 square feet. What is
the approximate height of the section Lane
paints?
&
© 8.3 ft
• 8.1 ft &
8.6 ft
© 8.9 ft
Answers
Answer:
8.66 ft
Step-by-step explanation:
A square is a shape that has an equivalent length and breadth across it’s cross section.
What this means is that measuring the length across the top and bottom will yield the same length value.
Thus, mathematically, let’s call the measured height h
The square of this height gives the area
thus;
h^2 = 75
h = √75
h = 8.660254037844
This is approximately 8.7 to one decimal place
Use the equation below to find v, if u=16, a=11, and t=2.
v=u+at
Answers
Answer:
38
Step-by-step explanation:
v=u+at
v=16+11(2) Do multiplication first
v=16+22
v=38
Answer:
38
Step-by-step explanation:
1. Plug in the each number for its variable to get v = 16 + 11 x 2
2. Multiply 11 and 2 to get 22
3. add 16 to 22 to get 38
Is 27.14 rational or irrational
Answers
Answer:
Rational
Step-by-step explanation:
A rational number is any number that repeats and/or isn't infinite. An irrational number is a number that is infinite and never repeats. (Like Pi. 3.1415926535... etc.) 27.14 isn't infinite so therefore it's rational.
Hi I don’t have a protractor right now and I reallyyy need help answering these questions I don’t understand or I’ll get a 0. Can anyone help me please?
Answers
Answer:
hhrnfg
Step-by-step explanation:
jsfd
bruh no one answers my question
Answers
Answer:
what was your question?
Question 23) Triangle PQR Triangle XYZ
PQ = 3a + 4 and XY = 5a - 12. Find a and PQ.
Answers
the way I solved the problem is attached. hope this helped.
The value of 'a' will be 8.
And, The value of side PQ will be 28 units.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle PQR ≅ Triangle XYZ
Now,
Since, Triangle PQR ≅ Triangle XYZ
So, we get;
Measure of PQ = Measure of XY
Substitute the given values of sides, we get;
Measure of PQ = Measure of XY
⇒ 3a + 4 = 5a - 12
Solve for a as;
⇒ 3a + 4 = 5a - 12
⇒ 3a - 5a = - 12 - 4
⇒ - 2a = - 16
⇒ 2a = 16
⇒ a = 8
Hence, Measure of PQ = 3a + 4
= 3 × 8 + 4
= 24 + 4
= 28
Thus, The value of 'a' will be 8.
And, The value of side PQ will be 28 units.
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pls help asap i need the help
Answers
Answer:
-2.5 is correct answer
Ans.=simplify (sin^4(x) - cos^4(x)) / (sin^2(x) - cos^2(x))
Answers
Answer:
1
Step-by-step explanation:
Using the trig. identity
sin²x + cos²x = 1
Given
[tex]\frac{sin^4x-cos^4x}{sin^2x-cos^2x}[/tex]
[tex]sin^{4}[/tex]x - [tex]cos^{4}[/tex]x ← is a difference of squares and factors as
(sin²x - cos²x)(sin²x + cos²x), then fraction becomes
= [tex]\frac{(sin^2x-cos^2x)(sin^2x+cos^2x)}{sin^2x-cos^2x}[/tex] ← cancel (sin²x - cos²x) on numerator/ denominator
= sin²x + cos²x
= 1
decide which type of graph will best represent that the majority of students like pepperoni pizza? Bar graph or pie chart?
Answers
Answer: Im pretty sure its a bar graph.
Step-by-step explanation:
Help solve! i am not sure what the answer is
Answers
If u=18, x=−10, and y=8 what is the value of u+xy?
Answers
Answer:
-62
Step-by-step explanation:
Step 1: Define
u = 18
x = -10
y = 8
u + xy
Step 2: Substitute
18 + -10(8)
Step 3: Evaluate
18 - 80
-62
I don't know. can someone help please??