Which choice is equivalent to the product below when x > 0?
Square root of 2/x time square root of x^2/8
Answers
Answer:
A.
[tex] \sqrt{x } \div 2[/tex]
is the answer
The choice which is equivalent to [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex] is given by (A) [tex]\frac{\sqrt{x}}{2}[/tex].
What is expression?Expression is a mathematical term that involves variables, numbers and other mathematical quantities and operations or combinations of them.
The given expression is [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex]
Calculating the expression we get,
[tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}=\sqrt{\frac{2}{x}\cdot\frac{x^2}{8}}=\sqrt{\frac{x}{4}}=\frac{\sqrt{x}}{2}[/tex]
So the expression equals to [tex]\frac{\sqrt{x}}{2}[/tex].
Hence the correct option is (A).
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Related Questions
Is the relation a function? Explain
Set-builder notation?
Domain/range?
Answers
Answer:
doamin = set builder nation
Answer:
domain= set builder notation
Explain how you can use absolute value to tell whether
the sum of two integers is positive or negative.
Answers
Answer:
Let the integers are p and q.
In case both integers are positive or negative, you add the numbers up and apply their sign to the sum.
Examples:
10 + 88 = 98-20 + (-15) = -35In case one of the integers is negative and one positive.
p < 0, q > 0Use absolute value in this case.
Subtract the numbers and apply the sign of the number with the greater absolute value.
Examples:
- 10 + 15 = |15 - 10| = |5| = 5- 15 + 10 = - |15 - 10| = - |5| = -5Step-by-step explanation:
Let the numbers be x and y
If both are of same signs then
|x + y| = x + y
-|x + y| = -(x + y) = -x - y
If one is negative and one is positive
-|x + (-y)| = -|x - y| = -x + y
-|y + (-x)| = -|y - x| = -y + x
help me please????????
Answers
Answer:
c
Step-by-step explanation:
Option c is correct. All points are equally spaced from the line x=1 as their images do. They are symmetric about the line x=1. For instance, point A and A' are both 3 units from the line x=1.
Option a and B are wrong as we cannot see and swapping of x and y coordinates to a point.
For option d, only point A is shifted 6 units to the left to A', but point B shifted 8 units to B'. Incorrect.
can someone explain
Answers
The can contains 15.7 g of sugar per 100 mL. So if the can holds 330 mL of soft drink, then overall it contains
(15.7 g) / (100 mL) × (330 mL) = 51.81 g
of sugar, and this is
(51.81 g) / (90 g) ≈ 0.575667 ≈ 57.6%
so Tom's friend is correct.
7) Find EC
16
E-
B
D
С
49
30
Answers
EC = 35
Step-by-step explanation:
The whole entire line measures 49
DB measures 30
49 - 30 = 19 or ED
But we’re looking for EC so…
19 + 16 = 35
EC = 35
Help anyone can help me do this question,I will mark brainlest.
Answers
Answer:
Step-by-step explanation:
E ⊂ F ⊂ G
Simplify the expression by combining like terms:
8x + 3y + 2x^2 + 6y^2 + 7 =
a
10x^2 + 9y^2 + 7
b
8x + 3y + 2x^2 + 6y^2 + 7
c
11xy + 8xy^2 + 7
Answers
Answer:
8x + 3y + 2x^2 + 6y^2 + 7 =
Step-by-step explanation:
8x + 3y + 2x^2 + 6y^2 + 7 =
Combine like terms
There are no like terms
8x + 3y + 2x^2 + 6y^2 + 7 =
Let's combine
8x+3y+2x²+6y²+7No like terms present
We may arrange in order of degrees.
2x²+6y²+8x+3y+7A) Addition
B) Subtraction
C) Multiplication
D) Exponent
3+16 divided by 4
4 x 7 - 2 x 6 divided by 3
5 (power of 2) - 4 x (2 power of 3) -3)
(-3 (power of 4) divided 9 x (4-5 (power of 3) + 8
Answers
Answer:
3+16 divided by 4 is 4.75
4×7-2×6..... is5.33
168
Rational numbers include whole numbers, integers, fractions, and some decimals?
Answers
Answer:
TRUE
Step-by-step explanation:
this is true.
rational= ratio
What is the distance between 10 and -4
Answers
Answer:
the answer is 14
Step-by-step explanation:
10 pluss the 4 makes 14
Answer:
The distance between 10 and -4 is 14
Step-by-step explanation:
Because 10 plus 4 is 14 so the answer is 14,Hope it help you.
what is the midpoint of (4,5) and (9,17)
Answers
Answer:
Step-by-step explanation:
Midpoint formula: ( (x1+x2)/2, (y1+y2)/2)
where (x1, y1) and (x2, y2) are our points
Let (x1, y1) = (4, 5)
and (x2, y2) = (9, 17)
x1 = 4
x2 = 9
y1 = 5
y2 = 17
Then ( (4+9)/2, (5+17)/2 ) = (13/2, 22/2) = (13/2, 11)
The Coal Utility Company is burning coal to produce electricity. The following cost function illustrates the cost in dollars (C) of removing t% of the hazardous toxins generated from burning coal. What happens to the cost as t approaches 100?
C= 55,000t/100-t for 0 ≤ t < 100
A The cost continues to increase.
B The cost continues to decrease.
C The cost approaches $0.
D The cost approaches $55,000.
Answers
Answer:
the cost continues to increase
Step-by-step explanation:
the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.
To determine what happens to the cost (C) as t approaches 100%, we can take the limit of the cost function as t approaches 100.
The cost function is given as: [tex]\[ C = \frac{55,000t}{100 - t} \][/tex]
Now, let's find the limit of C as t approaches 100:[tex]\[ \lim_{{t \to 100}} C = \lim_{{t \to 100}} \frac{55,000t}{100 - t} \][/tex]
To find this limit, we can use direct substitution:[tex]\[ \lim_{{t \to 100}} \frac{55,000 \times 100}{100 - 100} = \lim_{{t \to 100}} \frac{5,500,000}{0} \][/tex]
Since the denominator approaches 0 as t approaches 100, the limit is undefined (infinite).
Therefore, the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.
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What is the answer to 2[5+2(8-6)]
Answers
Step-by-step explanation:
=2[5+2(8-6)]
=2[5+2(2)]
=2[5+4]
=2×9
=18
Answer: 18
Concept:
When encountering a question that needs to do operations with expressions, using the PEMDAS method will ease the process.
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionSolve:
Given
2 [5 + 2 (8 - 6)]
Simplify values in the parentheses
=2 [5 + 2 × 2]
Simplify with multiplication
=2 [5 + 4]
Simplify the parentheses
=2 × 9
=18
Hope this helps!! :)
Please let me know if you have any questions
Brooke spent 3/4 hours playing her flute each day for 7 days. How many hours did she play her flute in all
Answers
Answer:
5 and 1/4 hours or 5 hours and 15 minutes
Step-by-step explanation:
She played her flute 3/4 hours every day for 7 days, so to find the total number of hours we can multiply 3/4 by 7 to get 21/4. This is equal to 5 and 1/4 hours, or 5 hours and 15 minutes.
Answer: 5.25 hrs
Step-by-step explanation: 3/4 of an hour is 45 min. 45 min x 7 days is 315 min which is 5 hours and 15 min or 5.25 hrs
Write the equation y=-4x+7 passing through the point (-6,-8) in point slope intercept form?
Answers
Answer:
y + 8 = -4 (x + 6)
Step-by-step explanation:
y + 8 = -4 (x + 6)
A train travels 625 kiy north in 15 hours. What is the bus's velocity?
Answers
41.6666667
Step-by-step explanation:
Velocity = distance/time
Velocity = 625/15
Velocity = 41.6666667
The chorus sang for 27 minutes. If each song lasted an average of 4 1/2 minutes, how many songs did the chorus sing?
Answers
Answer:
6 songs
Step-by-step explanation:
27 divided by 4 1/2 or 4.5 equals 6 which mean they sang six songs.
Answer:
6, because 4.5 fits into 27 6 times.
2 = 2.27 - m/4
I am so bad at math, lol! ^^ HELP ME PWEASE!
Answers
Answer:
m = 1.08
Step-by-step explanation:
Subtract 2.27 from both sides.2 - 2.27 = -m/4
Simplify 2 - 2.27 to -0.27.-0.27 = -m/4
Multiply both sides by 4-0.27 × 4 = -m
Simplify -0.27 × 4 to -1.08.-1.08 = -m
Multiply both sides by -1 (-m is also known as -1)1.08 =m
Answer:
m = 1.08
Step-by-step explanation:
Basically, we can start off by finding the difference between 2 and 2.27(which is 0.27). Then we can see that 0.27 is equal to m/4. Since 0.27*4=1.08, we can see that m=1.08.
Directions: Place the LETTER of each value in its location in the real number system below
Answers
Can you answer this? please?
Answers
Simplify each expression
1. 2x + (x - 4) + (2y - 5)
2. 3(x - 2) + 4(x + 3)
Answers
Answer:
1. 3x-9+2y
2. 7x+6
Step-by-step explanation:
1. 2x + (x - 4) + (2y - 5)
2x+x-4+2y-5
3x-9+2y
2. 3(x - 2) + 4(x + 3)
3x+4x-6+12
7x+6
Answer:
1. 3x - 9 + 2y 2. 7x + 6
Step-by-step explanation:
1.
2x + (x - 4) + (2y - 5) =
3x - 9 + 2y
2.
3(x - 2) + 4(x + 3) =
3x - 6 + 4x + 12 =
7x + 6
The slot size limit for Fish A is from 28 to 32 inches. The minimum size limit for Fish B is 11 inches. Write the ranges of Fish A and Fish B in interval notation and in set-builder notation. Does the range for the Fish B seem reasonable? Explain.
Answers
Notations are used to specify the range of a function. The range of fish A is [28,32] while the range of fish B is [11,infinity).
Also, the range of fish B is not reasonable.
For fish A, we have:
[tex]Minimum = 28[/tex]
[tex]Maximum = 32[/tex]
For Fish B, we have:
[tex]Minimum = 11[/tex]
For fish A, the minimum and the maximum are inclusive. So, the range is:
[tex]Range= [Minimum, Maximum][/tex]
This gives:
[tex]A = [28,32][/tex]
For fish B, the minimum is known (and inclusive). The maximum is not known, so we represent the maximum with infinity.
So, the range is:
[tex]Range= [Minimum, Maximum)[/tex]
[tex]B = [11,\infty)[/tex]
The range of fish B is not reasonable because there is a limit to the size of fish a slot can take.
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Your house is located at point L. Your friend's house is located at point N.
M is the midpoint of IN. How far do you need to travel to walk home from
your friend's house?
3x
2x+ 2
M
N
Answers
Answer: 12 units
Replace "units" with "feet", "meters", etc. if your teacher instructs it.
==============================================================
Explanation:
M is the midpoint, which means segments LM and MN are the same length. This is because M cut LN in half.
So,
LM = MN
3x = 2x+2
3x-2x = 2
x = 2
Use this x value to then say
LM = 3x = 3*2 = 6MN = 2x+2 = 2*2+2 = 4+2 = 6Segments LM and MN are 6 units each.
From that, we know,
LN = LM+MN = 6+6 = 12
The distance from your house to your friends house is 12 units.
Three numbers are C, BC, and ADC. The digits B and C are multiples of 3. If C×BC=ADC and A+D=B, find the numbers C, BC, and ADC.
Answers
BC = 36
ADC = 216
6 x 36 = 216 and 2 + 1 = 3
I really need some help again
Answers
Pick any two points and calculate the difference in their y-values and divide that by the difference in their x-values.
Notice that all y-values are the same, so your “change in y” or your “rise” is always 0.
0/anything = 0 (as long as the denominator isn’t 0)
So, your slope here is 0.
i need helpp !! ill mark brainliest !
Answers
393/1000. i think, sorry. :c
x² + 4x from 5x² + x
Answers
(5x sq + x) - (x sq + 4x)
5x sq + x - (x sq + 4x)
5x sq - x sq + x - 4x
4x sq - 3x
Explain what are all of the properties of real numbers and use an example for each.
Answers
Answer:
mark me as a brainlist answer
Step-by-step explanation:
Give examples to explain the properties of real numbers
Property (a, b and c are real numbers, variables or algebraic expressions)Examples8.Additive Inverse Property a + (-a) = 04 + (-4) = 09.Multiplicative Inverse Property10.Zero Property of Multiplication a • 0 = 04 • 0 = 011.Closure Property of Addition a + b is a real number10 + 5 = 15 (a real number)
-2x + 9x5 + 1 - 9x2
What’s the answer to this someone help plz
Answers
Answer:
factored = -2(x-14) Simplified= -2x+28
Step-by-step explanation:
Given the value of B in the attached photo ,
1. Find the cofactor of matrix B
2. Hence, find the inverse of matrix B
Answers
Answer:
answer is in attachment
