Using the conversion of exponent to power, the equivalent expression is given as follows:
[tex]\frac{\sqrt{x}}{\sqrt[4]{y}z^2}[/tex]
How to transform an exponent to a power?It happens according to the following rule, with the denominator as the root and the numerator as the exponent:
[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]
In this problem, we are given the following expression:
[tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex]
Negative exponents go to the denominator, hence the equivalent expression is given by:
[tex]\frac{\sqrt{x}}{\sqrt[4]{y}z^2}[/tex]
More can be learned about the conversion of exponent to power at brainly.com/question/2020414
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3. Arrange the following numbers in descending order i) 12098, 12980, 12890, 12089 ii) 2008909, 299088, 2000899, 298099
Answer:
2008909, 2000899, 299088, 298099, 12890, 12089
Step-by-step explanation:
Start with the largest number then find the number with the smallest value closest to that number
[tex]Given[/tex] [tex]numbers:[/tex]
[tex]a)12098,12980,12890,12089[/tex]
Arranging numbers in descending order:
12980 > 12890 > 12098 > 12089
[tex]Given[/tex] [tex]numbers:[/tex]
[tex]b)2008909, 299088, 2000899, 298099[/tex]
Arranging numbers in descending order:
2008909> 2000899> 299088 > 298099
•••♪
what does 30,000 divided by 12,674 equals?
Answer:
2.36705065488
A Ferris wheel has a diameter of 250 feet. What is
the distance, to the nearest whole foot, that riders
travel if they stay on it for 15 rotations?
The distance that riders travel round the Ferris wheel in 15 rotations is 11,786 feet.
What is the distance travelled by the riders in 15 rotations?The first step is to determine the distance travelled in one rotation. To do this, the circumference of the wheel has to be determined.
Circumference of a circle = π x 250
22/7 x 250 = 785.71 feet
Now, multiply the circumference by 15
785.71 feet x 15 = 11,786 feet
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verron tossed a coin 20 times the results were 8 heads and 12 tails, What is the best comparison between the theoretical and experimental probability of tossing heads?
Answer:
exp prob is less than theoret prob
Step-by-step explanation:
experimental 8 out of 20 8/20
theoretical 10 out of 20 10/20
Solve the system of equations.
4x - 4y = 8
y + 4x = 2.5
x = -1.5
y = 8.5
hope it helps....!!!
[tex]4x-4y = 8~~~....(i)\\\\y+4x = 2.5~~~...(ii)\\\\(i)-(ii)\\\\~~~~4x-4y-y-4x = 8-2.5\\\\\implies -5y = 5.5\\\\\implies y = -\dfrac{5.5}5\\\\\implies y= -1.1\\\\\text{Substitute y= -1.1 in eq (i):}\\ \\~~~~4x-4(-1.1) = 8\\\\\implies 4x +4.4. =8\\ \\\implies 4x = 8-4.4\\\\\implies 4x = 3.6\\\\\implies x = \dfrac{3.6}4\\\\\implies x =0.9\\ \\\text{Hence,}~~ (x,y) = (0.9, ~-1.1)[/tex]
. What is the product of √2x • √12500?
[tex]\sqrt{2x}\ \cdot \ \sqrt{12500}\\= \sqrt{25000x}\\= \sqrt{25} \cdot \sqrt{100} \cdot \sqrt{10x}\\= 5 \cdot 10\ \cdot \sqrt{10x}\\= 50\sqrt{x}[/tex]
The height of a ball (in feet) after t seconds is given by the quadratic function h=-16(t-5)^2+116
The ball reaches its maximum height at (blank) seconds.
Check the picture below, so pretty much reaches its maximum height at the vertex, now let's take a peek at the equation above hmmmm
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ h(t)=-16(t ~~ - ~~ \stackrel{h}{5})^2~~ + ~~\stackrel{k}{116}~\hfill \underset{maximum~height}{\stackrel{vertex}{(5~~,~~\underset{\uparrow }{116})}}[/tex]
The directions on a box of Luigi’s Pizza Mix are as follows: Spread the dough to the edges of a circular pan or a 10-inch by 14-inches rectangular pan. You will need to use the following formulas to answer the questions below. For a circle: A = πr2 where π = 3.14C = 2πr For a rectangle: A = lw P = 2l + 2w a. If you used the same amount of dough, how large a circular pan would you need to make a pizza of the same area and thickness as one made in the rectangular pan? *
The circular pan must have a radius of 6.68 inches.
How large a circular pan would you need?
The area of the circular pan just be the same as the area of the rectangular pan.
The rectangular pan is 10in by 14 in, so its area is:
A = 10in*14in = 140in^2
Then the circular pan must have an area:
A' = 3.14*r^2 = 140in^2
We can solve this for r:
r = √(140in^2/3.14) = 6.68 in
The circular pan must have a radius of 6.68 inches.
If you want to learn more about areas:
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What is the square root of (144/169)+(25/169) first 144/169+25/169 then square root of that
Answer:
1
Explanation:
Answer:
The square root of (144/169)+(25/169) is 1
Step-by-step explanation:
[tex]\sqrt{\frac{144}{169} +\frac{25}{169} = \frac{169}{169}} = \sqrt{1}[/tex]
[tex]\sqrt{1} =1[/tex]
hope this helps :)
cashews cost $0.40 per ounce. you have $6. can you buy one pound pf cashews
Answer:
[tex]0.40 * 6 = 2.4\[/tex]
So if one pound costs 2.4$, you will be able to buy 2 pounds with 6$
in a survey 15 high school students said they could drive 15 said they could not out of 60 college student survey 30 said They Could Dr., Micah concluded that if someone is in college that means in person is more likely to drive is is is micahs conclusion correct explain
no it's not correct
50% can drive and 50% cannot drive... cus the survey is conducted on 50% students... so assuming that 30 students' percentage is 100, 15 can drive and 15 cannot, therefore...
50% can drive and 50% cannot drive
hope it helps...!!!
Solve each proportion.
Carlos stood outside the park and asked every fourth person to enter the park for their favorite sport. There were four choices: football, baseball, basketball, and other. Bill surveyed a total of 54 people. Of those surveyed, 15 said football is their favorite, 13 said baseball is their favorite, 12 said basketball is their favorite, and 14 said other.
Answer:
216???
Step-by-step explanation:
54 times 4 bc every fourth person that comes in
I have no Idea tho
The ages of all the patients in the isolation ward of the hospital are
38, 26, 13, 41 and 22.
What is the population variance?
okay l will help you on this
but it's not so realistic. it's a negative answer imagine
Will give brainliest :,)
Janel invested $7,000 at 3% interest, compounded semi-annually (two times a year). What would the value of the investment be after 8 years? A = P(1+r/n)^nt
A. 10,360.00
B. 8,882.90
C. 13,600.00
D. 8,680.00
E. 8,867.39
How much would the investment be worth?
As the function for interest is already given to us, also,
The principal amount, P = $7,000
The rate of Interest, r = 3%
Time period, t = 5 years
Compounded semiannually, n = 2
Substitute the values,
Hence, the worth of the investment after 5 years at an interest of 3% is $8,123.79.
Answer:
Hello! Let's find the value of Janel's investment after 8 years. In the formula we're using, P will represent the principal amount, r will represent the rate of interest, and t will represent time. Since the interest is compounded semi-annually (twice a year), n = 2. Finally, A represents the value of the investment after t (8 years).
Substitute these values into the formula:
[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
[tex]A = 7000(1+\frac{0.03}{2} )^{2*8}[/tex]
Simplify the equation:
[tex]A = 8882.89883357[/tex]
Round this number to the nearest hundredth:
[tex]A = 8882.90[/tex]
The correct answer is B. 8,882.90.
I hope this helps you! Have a great day. :)
Witch number is a common factor of 25 and 40?
A) 2
B) 4
C) 5
D) 10
I will give Brainlyest only for correct answers. :)
Answer:
The answer is 5.
Step-by-step explanation:
The answer is 5 because 5x8 and 5x5. find the greatest common factor by matching the biggest common factor of 25 and 40.This is why the answer is 5.
Step 1: 25 = 5[tex]^2[/tex]
Step 2: 40 = [tex]2^{3}[/tex] × [tex]5^{1}[/tex]
Step 3: List of positive integer factors of 25 that divides 25 without a remainder. That is 1 and 5
Step 4: List of positive integer factors of 40 that divides 25 without a remainder. 1, 2, 4, 5, 8, 10, 20
Step 5: We found the factors and prime factorization of 25 and 40. The biggest common factor number is the GCF number.
So the greatest common factor 25 and 40 is 5.
Pleaseeeee help meee
Step-by-step explanation:
simplify the three equations to get the common (Y) and we get the following:
1. [tex]Y = \frac{-5}{2}x + \frac{1}{2}\\[/tex]
2. [tex]Y = \frac{2}{5}x - 8[/tex]
3. [tex]Y = \frac{2}{5}x + \frac{4}{5}[/tex]
Line 1 and 2 are perpendicular because for the gradient(m) the fraction in line 1 for x is the negative reciprocal to line 2.
Line 1 and 3 are also perpendicular because for the gradient(m) the negative reciprocal can also be seen
*note for perpendicular lines the +c or y-intercept is neglected as it does not affect the perpendicularity
Line 2 and Line 3 are parallel because they have the same gradient of [tex]\frac{2}{5}x[/tex]
So they will have the same slope, regardless of the y-intercept.
The graph of a linear function is shown. A coordinate plane with a straight line. The line starts at (negative 5, negative 1) and continues up and to the right passing through (0, 0) and (5, 1). Which word describes the slope of the line? positive negative zero undefin
The linear function is represented by the straight line, and the word that describes the slope of the line is positive
What is a linear function?A linear function is an equation that has a constant rate or slope
The points on the lines are given as:
(x,y) = (-5,-1), (0,0) and (5,1)
The slope is then calculated using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
This gives
m = (0 + 1)/(0 + 5)
Evaluate
m = 0.2
The above slope is positive.
Hence, the word that describes the slope of the line is positive
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Read more about slope at:
https://brainly.com/question/1884491
Answer:
the answer is a
Step-by-step explanation:
The graph below shows the exponential function and the linear function What is the minimum y-value after which the exponential function will always be greater than the linear function? y = 1 y = 2 y = 3 y = 4
Answer:
y = 1
Step-by-step explanation:
John has 5 pairs of formal shoes, 2 pairs of traditional shoes, and 4 pairs of casual shoes. What is the probability that John selects a pair of formal shoes??? Write the answer as a fraction in the simplest form.
Answer:
5/11
Step-by-step explanation:
probability = # of favorable outcomes / # of total outcomes
favorable outcome = selecting a pair of formal shoes.
There are 5 pairs of formal shoes so # of favorable outcomes = 5
The total number of outcomes = sum of different pairs of shoes. There are 5 pairs of formal shoes, 2 pairs of traditional shoes, and 4 pairs of casual shoes, so total there are 5 + 2 + 4 = 11 pairs of shoes
so we have probability = # of favorable outcomes / # of total outcomes
and # of favorable outcomes = 5 and total # of outcomes = 11 so probability of selecting a pair of formal shoes is 5/11
The equation of the trend line is y = −0.36x + 12.6.
Use the equation of the trend line to predict the wind chill for a wind speed of 33 mi/h. Round your answer to the nearest degree.
Answer:
−1\°
Step by step explation:
Let
x -----> the wind speed in mi/h
y ----> the wind chill in °F
we have
y=-0.36x+12.6y=−0.36x+12.6
so
For x=38 mi/h
substitute in the linear equation and solve for y
y=-0.36(38)+12.6=-1.08\°y=−0.36(38)+12.6=−1.08\°
Round to the nearest degree
-1.08=-1\°−1.08=−1\°
100 points! compute the modulus and argument of each complex number 2(cos2pi/3+isin2pi/3)
Step-by-step explanation:
For a number,
[tex]r( \cos(x) + i sin(x))[/tex]
r is the modulus and
x is the argument
So here.
r is 2.
x is 2 pi/3
So the modulus is 2
the argument is 2 pi/3
Answer:
Modulus: 2
Argument: 2 pi/3
Step-by-step explanation:
A P E X
A circle has a diameter of 32 ft. What is its circumference?
Use 3.14 for 1, and do not round your answer. Be sure to include the correct unit in your ans
0
32 ft
Given -
diameter of circle = 32ftTo find -
the circumference of the circleExplanation -
As we know, circumference of the circle = 2πr
where r signifies the radius of the circle. And radius if half of the diameter, i.e, r = d/2
Solution -
Circumference of the circle = 2πr
r = 32/2 = 6
Substituting the value of r,
Circumference of the circle = 2 × 3.14 × 6
Circumference of the circle = 12 × 3.14
Circumference of the circle = 37.6 ft
Therefore, the the circumference of the circle is 37.6 ft.
For each of the following equations, say which one (d) has two rational solutions, (e) has two irrational
solutions, and (f) has two non-real solutions. Each answer (d, e, and f) is used once.
to solve this equation
[tex]x { }^{2} + 3x - 40 = 0[/tex]
we first identify it as quadratic and to solve we find two numbers that can multiply to get -40 and add to get positive three [tex](x - 5)(x + 8)[/tex]the factors being-5 and positive 8 satisfied the condition now to apply zero product principle [tex](x - 5) = 0 \: and \: (x + 8) = 0[/tex]from the equation above in (x-5)=0 we subtract 0 from both places and it literally reads [tex]x = + 5[/tex]for the second the same is done [tex]x = - 8[/tex]now for second question[tex]x^{2} + 3x + 1[/tex]not forgetting the zero. open two brackets and find no that can add to get 3 and multiply to get 1[tex](x + 1)(x + 1)[/tex]the answer being x=-1 and x=-1652,951 rounded to the nearest thousand? Please hurry fast!!!!
In this diagram, line I, line m, and line n are parallel and intersected by a transversal.
Based on this diagram and the angle labeled 73°, which statement is true?
A) The value of x is 17 because the two angles are complementary
B) The value of x is 73 because the two angles are equal.
C) The value of x is 107 because the two angles are supplementary.
D) The value of x is 146 because one angle is twice the other angle.
Answer:
b
Step-by-step explanation:
Find the equation of a line perpendicular to y=−6 that contains the point (1,3). Write the equation in slope-intercept form
Answer:
x=1
Step-by-step explanation:
Hi there!
We are given that a line is perpendicular to y = -6 and passes through the point (1, 3)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name
First, we need to find the slope (m) of the line
Remember that we were given that the line is perpendicular to y = -6
Perpendicular lines have slopes that multiply to get -1
The slope of y = -6 is 0; therefore, to find the slope of this line, we can do the following equation
0m=1
Divide both sides by 0
m = 1/0
This answer is undefined - therefore, the line has an undefined slope
If this is the case, then it means the line is a vertical line
A vertical line is written as x=k, where k is the value of x at the x intercept. It can't be written in slope-intercept form.
This value is also the value of x at every point that lies on such line - in this case, as given by the point (1, 3) , this value is 1
So substitute 1 as k.
x = 1
This is the line of the equation.
Hope this helps!
Simplify.
14 7/15
-10 2/5
A. 4 1/15
B. 4 5/10
C. 4 1/2
D. 4 9/10
Answer:
A. 4 1/15
Step-by-step explanation:
14 7/15 - 10 2/5Multifly 14 and 15 to get 21015210+7/15 - 10 *5 + 2/5Add 210 and 7 to get 217217/15 - 10*5+2/5Multiply 10 and 5 to get 50217/15 - 5-+2/5Add 50 and 2 to get 52217/15 - 52/5The LCM of 15 and 5 is 15. Convert 217/15 and 52/5 to fractions with denominators of 15217/15 - 156/15Now that they have the same denominator Subtract 217 - 156 to get 6161/15 = 14 1/510 points, questions is in the picture
Answer:
I think the answer is A
Step-by-step explanation:
If you use the diameter of the circle when drawing you will not get more than one interesection with the circle which will be in the opposite side, repeating this step will just repeat the same circles. But if you use the radius of the circle [tex]r = AB[/tex] you will get something like the picture attached, bear in mind it's not exact but it helps picture the steps being followed.
The best way to solve this is by experimenting with the compass and following the steps to see the outcome.
Factor the expression using the greatest common factor 16x + 12y
Answer:
4(4x + 3y)
Step-by-step explanation:
Given expression: 16x + 12y
Factors of 16: 1, 2, 4, 8, 16
Factors of 12: 1, 2, 3, 4, 6, 12
Therefore, the greatest common factor of 16 and 12 is 4.
As the expression has two variables, the variables cannot be factored.
Therefore, factored expression: 4(4x + 3y)
16x+12y
Factor each
16x=4×4x12y=4×3yTake 4 common as GCF
16x+12y4(4x+3y)