Answers
Answer: Choice C
[tex](xy)^{1/2}[/tex] which is equivalent to [tex]\sqrt{xy}[/tex]
===============================================
Explanation:
The exponent for the y term inside the parenthesis is 1/6 and then that expression is raised to the 3rd power. The exponents multiply to (1/6)*3 = 3/6 = 1/2
This means [tex]\left(y^{1/6}\right)^3 = y^{1/2}[/tex]
Having an exponent of 1/2 is the same as applying the square root, so,
[tex]\sqrt{x} = x^{1/2}[/tex]
Meaning,
[tex]y^{1/2}\sqrt{x} = y^{1/2}x^{1/2} = (xy)^{1/2} = \sqrt{xy}[/tex]
Related Questions
The coordinates of the point 3/10 of the way from A to B are _
Answers
Answer:
(-1, -4.8)
Step-by-step Explanation:
Let the point be P, which is 3/10 of the way from A to B. This means, it divides P into AP and PB in the ratio, 3:10 = AP/PB = 3/10.
Apply the formula for internal division to find the coordinates which is given as:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] A(-4, -8) = (x_1, y_1) [/tex]
[tex] B(9, 6) = (x_2, y_2) [/tex]
[tex] m = 3, n = 10 [/tex]
Plug in the necessary values to find x and y coordinates for point P
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{3(9) + 10(-4)}{3 + 10} [/tex]
[tex] x = \frac{27 - 40}{13} [/tex]
[tex] x = \frac{-13}{13} [/tex]
[tex] x = -1 [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{3(6) + 10(-8)}{3 + 10} [/tex]
[tex] y = \frac{18 - 80}{13} [/tex]
[tex] y = \frac{-62}{13} [/tex]
[tex] y = \frac{-62}{13} [/tex]
[tex] y = -4.8 [/tex]
The coordinates of the point 3/10 of the way from A to B are (-1, -4.8)
Answer:
(0.2,-2.3)
Step-by-step explanation:
13) Mark walks 3.4 miles per day. How
many days will it take him to walk 17.34
miles?
Answers
Answer:
5.1 days
Step-by-step explanation:
[tex]3.4 \: miles = 1 \: day \\ 17.34 \: miles \: = x \: days[/tex]
Cross Multiply
[tex]3.4x = 17.34[/tex]
Divide both sides of the equation by 3.4
[tex] \frac{3.4x}{3.4} = \frac{17.34}{3.4} [/tex]
[tex]x = 5.1[/tex]
Answer:
5 Days and 1 Hour
Step-by-step explanation:
3,4 per day
So, for 17.34 miles;
17.34/3.4 = 5 Days and 1 hour
What is the area of a triangle whose base is 16 m and whose height is 21 m?
74 m2
168 m2
268 m2
336 m2
Answers
Answer:
The answer is
168 m²Step-by-step explanation:
Area of a triangle is given by
[tex]A = \frac{1}{2} \times base \times height[/tex]
from the question
base = 16 m
height = 21 m
The area is...
[tex]A = \frac{1}{2} \times 16 \times 21 \\ = 8 \times 21 \: \: \: \: \: \: [/tex]
We have the final answer as
168 m²Hope this helps you
If P x 6=36 what is p
Answers
Answer:
p = 6
Step-by-step explanation:
Divide 6 by both sides to get p. 36/6 is equal to 6
Answer: p =6
Step-by-step explanation:
if p times 6 is 36 or 6p =36
Then to find p divide both sides by 6
6p = 36
p = 6
what is the x intercept of this linear function. y=2x-3
Answers
Answer:
set y = 0 to get the x intercept,,,,,,,,,, 0 = 2x -3 = x = 3/2 or 1.5
Step-by-step explanation:
what is a conditional statement
Answers
Answer:
A conditional statement is false if hypothesis is true and the conclusion is false.
Step-by-step explanation:
Conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.
What is Mathematical Reasoning?Reasoning in maths is the process of applying logical and critical thinking to a mathematical problem in order to work out the correct strategy to use in reaching a solution
A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.
For this conditional statement, P is called the hypothesis and Q is called the conclusion.
“If P then Q” means that Q must be true whenever P is true.
We have a conditional statement If it is raining, we will not play.
Let, P: It is raining and Q: we will not play.
Then; If P is true, that is, it is raining and Q is false, that is, we played, then the statement P implies Q is false.
Hence, conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.
To learn more on Mathematical Reasoning click:
https://brainly.com/question/11679298
#SPJ2
Lisa had $4.26 in her purse. She bought some school supplies for $2.75. How much money does Lisa have left?
Answers
Answer:
$1.51
Step-by-step explanation:
take 4.26 and subtract 2.75.
Answer:
deretos
Step-by-step explanation:
Divide the polynomials 3x^3+x^2-4x+12 over x+2
Answers
Answer:
[tex]3x^{2} -5x+6[/tex]
Step-by-step explanation:
Factor the numerator and it should be [tex](x+2)(3x^2-5x+6) / (x+2)[/tex]. Cancel out both the [tex]x+2[/tex] so that the denominator becomes a 1.
Can you help me please
Answers
Answer:
what is your question ? and where are these points that you are talking about?
under certain conditions, the average cost of a medium sedan in 2012 was $0.53 per mile. how much would it have cost to drive such a car 11,000 miles in 2012
Answers
Answer:
$5,830
Step-by-step explanation:
Multiply the miles by the cost per mile.
11,000 × $0.53 = $5,830
The cost to drive the car 11,000 miles is $5,830.
The sample observations on stabilized viscosity of asphalt specimens are 2781, 2900, 3013, 2856 and 2888. Suppose that for a particular application, it is required that true average viscosity be 3000. Does this requirement appear to have been satisfied? State and test the appropriate hypothesis at α = 0.05.
Answers
Answer:
there is no sufficient evidence to prove that viscosity is not 3000
Step-by-step explanation:
Let's state the hypothesis.
Null hypothesis; H0: μ = 3000
Alternative hypothesis; μ ≠ 3000
The sample mean is;
x = (2781 + 2900 + 3013 + 2856 + 2888)/5 = 2887.6
Standard deviation σ = √variance = √[(2781 - 2887.6)² + (2900 - 2887.6)² + (3013 - 2887.6)² + (2856 - 2887.6)² + (2888 - 2887.6)²)(1/(5 - 1))]
σ = √((1/4)(11363.56 + 153.76 + 15725.16 + 998.56 + 0.16)
σ = 84.026
Formula for test statistic is given as;
t = (x - μ)/σ
t = (2887.6 - 3000)/84.026
t = -1.338
From online p-value calculator from t value attached, using DF = 5 - 1 = 4, two tail and a significance level of 0.05,we have;
The p-value is 0.251896.
This is greater than the significance level of 0.05.
Thus, we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to prove that viscosity is not 3000
You have been assigned the job of doubling an investment by putting it in an account that earns 8% simple interest annually. About how many years will it take for this to happen?
Answers
Answer:
12.5
Step-by-step explanation:
100 ÷ 8 = 12.5, so it'll take 12.5 years to double
Answer:
12.5
Step-by-step explanation:
What is the answer for 29+n=13
Answers
Answer:
n=-16
Step-by-step explanation:
Answer:
n = - 16.............
................
The height of a helicopter above the ground is given by h=3.00t3, where h is in meters and t is in seconds. After 2.00 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?S
Answers
Answer:
7.96 s
Step-by-step explanation:
Given the following :
h = 3t³
After t seconds, that is, t = 2
h = 3(2)³ = 3 × 8 = 24 m
Rate of change, Velocity = dh/dt
dh/dt = 3*3t^(3 - 1) = 3*3t² = 9t²
At t = 2 s ; initial velocity = 9(2)² = 9 × 4 = 36 m/s
From the 3rd equation of motion:
v² = u² + 2gh
Where g = acceleration due to gravity 9.8m/s
upward motion, g = - ve
Displacement = - 24
v² = 36² + 2(-9.8)(-24)
v² = 1296 + 470.4
v² = 1766.4
v = sqrt(1766.4)
= 42.03 m/s
Since final velocity is in downward direction : take it as negative.
Recall, :
Velocity = Displacement / time
Displacement = Velocity × time
Average Velocity = (Initial + final velocity) / 2
Displacement = - 24 m
-24 = [(36 + (-42.03)) /2] × t
-48 = - 6.03t
t = 48 / 6.03
t = 7.96s
Linda drove 325 miles on a trip. At the end of the trip, the total mileage on the car's odometer read 4013. What was the mileage of the car at the beginning if Linda's trip?
Answers
Answer:
3688
Step-by-step explanation:
Step 1:
4013 - 325 = 3688
Answer:
3688
Hope This Helps :)
The mileage of the car at the beginning of the trip was 3688
the set of ordered pairs (-1,8),(0,3),and(2,-7) represent a function. what is the range of the function
Answers
Answer:
Range: 8, 3, -7
Step-by-step explanation:
The Range is the second coordinate which is y.
Hope This Helps :)
Knowing your personal strengths and weaknesses will help to keep your goal a. Within your skills and abilities c. Both of these b. Within its timeline d. None of these
Answers
Answer: a.)Within your skills and abilities
Step-by-step explanation: i hope this helps :)
Knowing your personal strengths and weaknesses will help to keep your goal a. Within your skills and abilities.
What is the importance of knowing yourself?Understanding what makes you tick is part of knowing yourself. It entails figuring out your priorities, talents, and limitations, as well as your habits, inclinations, and ways of thinking. The following is a list of the advantages and significance of understanding oneself
Knowing your personal strengths and weaknesses will help you
can change your personality flaws and improve on your weaknesses.
You’ll have more emotional intelligence, which is key to knowing others.
So, Knowing your personal strengths and weaknesses will help to keep your goal Within your skills and abilities.
learn more about psychology here :
https://brainly.com/question/10980588
#SPJ2
Nadia’s bookshelf contains 10 fiction books, two reference books, and five nonfiction books. What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book?
Answers
Answer:
5/136
Probability is the chance of an event happening.
Probability = (Favorable outcome)/(total outcome)
P(r and n) = 2/17 × 5/16
=(2 × 5)/(17 × 16)
= 10/272
= 5/136
Answer:
5/136, or about 3.68%
Step-by-step explanation:
There are 17 total books on the bookshelf and only two of them are reference books, so the probability that you randomly grab a reference book is 2 out of 17, or 2/17.
Now that you took out a reference book (and did not put it back) there are 16 books on the bookshelf and you know five of them are nonfiction. That means the probability of getting a nonfiction book on your second grab is 5/16.
To find the probability that both of these events happen, you multiply the two fractions together.
2/17 x 5/16 = 10/272, which can reduce to 5/136, or about 3.68%
Solve the equation for x. 3x=(2x−2)(m+5)
Answers
Answer:
[tex]x=\frac{-2m-10}{-2m-7}[/tex]
Step-by-step explanation:
Step 1: Write out equation
3x = (2x - 2)(m + 5)
Step 2: FOIL
3x = 2xm + 10x - 2m - 10
Step 3: Subtract 2xm on both sides
3x - 2xm = 10x - 2m - 10
Step 4: Subtract 10x on both sides
3x - 2xm - 10x = -2m - 10
Step 5: Factor out x
x(3 - 2m - 10) = -2m - 10
Step 6: Combine like terms in parenthesis
x(-2m - 7) = -2m - 10
Step 7: Divide both sides by -2m - 7
[tex]x=\frac{-2m-10}{-2m-7}[/tex]
One endpoint of a line segment has the coordinates (-5, 12). If the midpoint of the segment is at (2,9), find the
coordinates of the missing endpoint.
Answers
Answer:
(9, 6)
Step-by-step explanation:
Midpoint formula is:
x = (x₁ + x₂)/2y = (y₁ + y₂)/2Having coordinates of one end- and midpoint (-5, 12) and (2, 9):
x₁ = -5, y₁ = 12x = 2, y = 9we get the coordinates of the missing endpoint with coordinates (x₂, y₂):
x₂ = 2x - x₁ = 2*2 - (-5) = 4 + 5 = 9y₂ = 2y - y₁ = 2*9 - 12 = 18 - 12 = 6So the missing point is: (9, 6)
how do you find the area of a partial circle
Answers
Answer:
Divide!
Step-by-step explanation:
Find the area of the whole circle then divide it by whatterver percent of the circle you are looking at....
Solve (x + 2)(2x + 3) = 6 {-2, -3/2} {-7/2, 0} {0}
Answers
Answer:x=−3/2 or x=−2
Step-by-step explanationLet's solve your equation step-by-step.
(x+2)(2x+3)=6(−2−3/2)(−7/2(0))(0)
Step 1: Simplify both sides of the equation.
2x2+7x+6=0
Step 2: Factor left side of equation.
(2x+3)(x+2)=0
Step 3: Set factors equal to 0.
2x+3=0 or x+2=0
x=−3/2 or x=−2
-8v<-40
how do i answer this
Answers
Answer:
v>5
Step-by-step explanation:
you will divide by negative 8 causing the value sign to flip and that gives you 5
A cat welghs 10 pounds. What is the error in the measurement?
5%
1%
2%
Answers
Answer:
5%
Step-by-step explanation:
Assuming the measurement is rounded to the nearest pound, there is the potential for the reported value to differ by 1/2 pound from the measured value. The precision of the measurement is thus ...
(0.5 lb)/(10.0 lb) = 5/100 = 5%
__
Unless we know the cat's actual weight, we cannot determine the error in the measurement. If the cat actually weighs 10 pounds, the error is 0%.
which number line shows the solution to -3-{-1}?
Answers
Answer:
please send the picture of the number line.
Answer:me not know
Step-by-step explanation:
Hehuehuejejejje
-61 times the difference between a number and 56 is equal to the number plus – 28.
Solve the equation for z. Express your answer as an integer, a reduced fraction, or a decimal number rounded to two places.
Answers
Answer:
1722/31 or 55.55
Step-by-step explanation:
We need to write an equation.
-61( z - 56 ) = z - 28
-61z + 3416 = z - 28
-61z + 61z + 3416 = z + 61z - 28
3416 = 62z - 28
3416 + 28 = 62z - 28 + 28
3444 = 62z
3444/62 = 62z/62
3444/62 = z
Since 3444/62 isn't a whole number let's reduce
3444/2 = 1722 62/2 = 31
1722/31 is our reduced fraction
Plug it into a calculator 55.5483 but rounded to two decimal places is 55.55
The perimeter of the rectangle below is 94 units. Find the length of side PS.
Write your answer without variables.
Answers
Answer:
PS = 26 units
Step-by-step explanation:
Perimeter of rectangle = 94
2(4z - 2 + 3z) = 94
2(7z - 2) = 94
14z - 4 = 94
14z = 94 + 4
14z = 98
z = 98/14
z = 7
QR = 4z - 2 = 4*7 - 2 = 28 - 2 = 26
PS = QR (Opposite sides of rectangle)
PS = 26 units
Find the 44th percentile, P44, from the following data! pls help
Answers
Answer:
[tex] P_{44} = 29.9 [/tex]
Step-by-step Explanation:
The 44th percentile, [tex] P_{44} [/tex], of the given data can be calculated using the kth formula for percentile given as:
[tex] i = \frac{k}{100}(n + 1) [/tex]
where,
i = the ranking or the position of the percentile = ?
k = the percentile = 44
n = total number of the given data values = 23
Plug in the values into the formula to find "i"
[tex] i = \frac{44}{100}(23 + 1) [/tex]
[tex] i = \frac{44}{100}(24) [/tex]
[tex] i = \frac{1,056}{100} [/tex]
[tex] i = 10.56 [/tex]
Since "I", 10.56, is not an integer, round the number down, and round it up to the nearest integer, then look for the position each occupy in the ordered data set, and find their average.
Thus,
[tex] i_{down} = 10.56 = 10 [/tex]
[tex] i_{up} = 10.56 = 11 [/tex]
The data occupying the 10th position on the data set = 28.7
11th = 31.1
[tex] P_{44} = \frac{28.7 + 31.1}{2} = \frac{59.8}{2} [/tex]
[tex] P_{44} = 29.9 [/tex]
1 + 4x + 6 - x = y What are m and b in the linear equation, using the common meanings of m and b?
Answers
Answer:
Step-by-step explanation:
it 28 by adding 6 +1 is 7 and times it by 4
7+3x=y I got this as the answer!
Determine the scale factor for a circle with radius 9 in. to a circle with diameter 24 in. Type your answer as a fraction.
Answers
Answer:
bhhhhhhhhhhhhhhhhbhbhb
Step-by-step explanation:
3/4 is the scale factor for a circle with radius 9 in to a circle with diameter 24 in.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The scale factor of a circle to another is the ratio of their radii
Radius of the first circle = 9 in
Diameter of the second circle = 24 in
Radius = Diameter / 2
Radius of the second circle = 24 / 2
Radius of the second circle = 12 in
Scale factor = (Radius of the first circle) / (Radius of the second circle)
Scale factor = 9/12
Scale factor = 3/4
Hence, 3/4 is the scale factor for a circle with radius 9 in to a circle with diameter 24 in.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ2