explain how to write a radical expression as an exponent?
Answers
Step-by-step explanation:
In order to rewrite an expression in radical form using exponents, we must consider the power of the root (is the radical the typical square root, cubed root, etc) and the value of any exponents contained in the radical.
Using this information, we will make the power of the radical the denominator of our exponent, and whatever exponent is contained in the radical will become the numerator.
Example:√(x³) = square root of x³ = x^(3/2)
Hopefully this is what you need!
Related Questions
The sum of 2 numbers is equal to 10. The difference between those same two numbers is equal to -4 find the numbers.
Answers
Answer:
3 and 7
Step-by-step explanation:
For problems like these I take the largest number in this case 10, and start writing out what 2 numbers would give me 10. 0+10, 1+9, 2+8, 3+7...while doing that I subtract the numbers as well. thus 3+7=10 3-7=-4
Help pls George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
Answers
The width of the dog run is 20 feet.
In the given problem, the length of the dog run is given as 30 feet.
The area of the dog run is also given as 240 square feet.
Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).
Rearranging the formula, we have w = A / l.
Plugging in the values, we get w = 240 / 30 = 8 feet.
Since the width is given as (30 minus x) feet, we can set up an equation:
30 - x = 8. Solving for x, we find x = 22.
Therefore, the width of the dog run is 20 feet (30 - 22 = 8).
In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.
The area of the dog run is given as 240 square feet.
By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.
Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.
This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).
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a company was offering a special on cell phones for $3 each but only if you spent 5 dollars a month for 2 months how much would it end up costing you total if u bought 1 phone ?
Answers
Answer:
10 dollars
Step-by-step explanation:
5 + 5
In Exercises 33–36, determine if the specified linear transforma- tion is (a) one-to-one and (b) onto. Justify each answer. 14. Let T : R2 R2 be a linear transformation with standard matrix A = aaz], where a, and a, are shown in the figure. Using the figure, draw the image of under the transformation T. [-] 1 |
Answers
If values prοvided then transfοrmatiοn οf vectοrs can be determined.
What is vectοr?In mathematics, a vectοr is a mathematical οbject that represents a quantity with bοth a magnitude and a directiοn. Vectοrs can be used tο represent physical quantities such as velοcity, fοrce, and acceleratiοn, as well as mοre abstract cοncepts such as cοlοr, sοund, and temperature.
Withοut seeing the figure οr the values οf a1, a2, and a3, it is nοt pοssible tο determine whether the specified linear transfοrmatiοn T : R2 → R2 is οne-tο-οne and οntο.
Hοwever, in general:
A linear transfοrmatiοn T : Rn → Rm is οne-tο-οne if and οnly if its kernel (i.e., the set οf vectοrs that are mapped tο the zerο vectοr) is trivial, meaning that the οnly vectοr that maps tο the zerο vectοr is the zerο vectοr itself.
A linear transfοrmatiοn T : Rn → Rm is οntο if and οnly if its range (i.e., the set οf all vectοrs that can be οbtained by applying T tο sοme vectοr in Rn) is equal tο Rm.
Tο determine whether a linear transfοrmatiοn is οne-tο-οne οr οntο, we can examine its prοperties and characteristics, such as its kernel, range, rank, and determinant. We can alsο use geοmetric intuitiοn and visualizatiοn tο understand hοw the transfοrmatiοn maps pοints and vectοrs in Rn tο Rm.
If yοu prοvide mοre infοrmatiοn abοut the values οf a1, a2, and a3 and the figure that shοws the standard matrix A, it can help yοu determine whether the transfοrmatiοn is οne-tο-οne and οntο and draw the image οf the vectοr [-1, 1] under the transfοrmatiοn T.
Therefοre, if values prοvided then transfοrmatiοn οf vectοrs can be determined.
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Complete question -
In Exercises 33–36, determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each answer. 14. Let T : R2 R2 be a linear transformation with standard matrix A = aaz], where a, and a, are shown in the figure. Using the figure, draw the image of under the transformation T. [-] 1
uppose that Bianca and Rosa each own a small farm. They both produce milk and apples. Each hour, Bianca can either produce 1 gallon of milk or 1 pound of apples, and Rosa can either produce 2 gallons of milk or 4 pounds of apples. Each works 4 hours a day.a. Draw Bianca’s daily PPC, placing gallons of milk x-axis and pounds of apples onthe y-axis. Label the x-intercept, the y-intercept and the slope of the PPC. Be sure to also label your axes.b. Draw Rosa’s daily PPC, placing gallons of milk x-axis and pounds of apples on the y-axis. Label the x-intercept, the y-intercept and the slope of the PPC. Be sure to also label your axes.c. What is the opportunity cost to each of 1 pound of apples?d. What is the opportunity cost to each of 1 gallon of milk?e. Who has the comparative advantage in producing apples? Briefly explain.f. Who has the comparative advantage in producing milk? Briefly explain.g. Who has the absolute advantage in producing apples? Briefly explain.h. Who has the absolute advantage in producing milk? Briefly explain.i. Are there gains from specialization and trade in this case? If not, explain why not. If so, in which good should each specialize?j. Draw the joint PPC for Bianca and Rosa, placing gallons of milk on the x-axis and pounds of apples on the y-axis. Be sure to label, the x-intercept, the y-intercept, the slope along each segment of the PPC and the point at which each isspecializing in the activity at which he or she has a comparative advantage. Be sure to also label your axes.k. Suppose that every day, Bianca and Rosa each spend 2 hours producing milk and2 hours producing apples, so that together they produce 6 gallons of milk and 10 pounds of apples. To show that this is not an efficient use of their time, find another way to divide up their time between producing milk and producing apples so that together they still can produce 6 gallons of milk but more than 10 pounds of apples.
Answers
For the graph formed by Bianca weight and height which is represented as x= 130 a vertical line describes that it has no slope.
Graph representing the weight and height of Bianca .
x-axis represents the weight in pounds of Bianca.
y-axis represents the height in inches of Bianca.
Line shown on graph is
x = 130 a vertical line
When a vertical line is represented on graph it means
x₁ = x₂ = x₃ =....= 130
y-coordinates keep on changing.
Slope = (y₂ - y₁ ) / ( x₂ - x₁ )
As x-coordinates are constant it means denominator is zero.
Line has no slope.
Therefore, graph representing weight and height with x= 130 shows it has no slope.
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The given question is incomplete, I answer the question in general according to my knowledge:
Bianca graphed her weight and height over the past several years. A graph titled Bianca's Height and Weight has weight in pounds on the x-axis and height in inches on the y-axis. A vertical line is at x = 130. Which describes the slope of the line on Bianca’s graph? Its slope is positive. Its slope is negative. Its slope is zero. It has no slope.
What is the slope of the line?
Answers
-3
Step-by-step explanation:
it is -3 because the line touches -3 on the y-intercept
plzzz help answer answer plzzzzzzzzzz aspa
1/4a + 4b
a = -7 b = 0
Answers
This can be simplified to -1 and 3/4
-1 3/4
I hope this helps :)
Jordan has test scores of 70,70,79, 85 and 96. What is the median score?
Answers
Answer:
They are already in order
70, 70, 79, 85, 96
the middle one is 79, meaning 79 is the median.
Step-by-step explanation:
jason voorhes was buying hocky masks. 1 hockey mask cost 10 dollars how much does 10 masks it cost in all?
Answers
Answer:
$100
Step-by-step explanation:
since 1 hockey mask costs $10 and you need 10 masks you can multiply 10x10 and you will get 100
Solve for the value of w.
(4W-8)°
(3w+6)°
Answers
Step-by-step explanation:
4W-8=3W+6
4W-3W=6+8
W=14°
lets find the value of W in this straight line
4W-8°=180°(angle on a straight line)
collect like terms
4W=180°+8°
4W=188°
divide both sides by the coefficient of W which is 4
W=47°
if i am correct pls rate it
uh how do i make histogram??
Answers
Answer:
Step-by-step explanation:
To make a histogram, follow these steps:
On the vertical axis, place frequencies. Label this axis "Frequency".On the horizontal axis, place the lower value of each interval. Draw a bar extending from the lower value of each interval to the lower value of the next interval.What does a histogram mean?
Histograms are equivalent to bar charts; they are a means for data counts to be displayed. Real counts against categories are seen in a bar graph; the bar height represents the number of objects in that category. In "bins", a histogram reveals the same categorical variables.
Create a Histogram: Stages for Steps
Sample question: With the following test scores, construct a histogram: 99, 97, 94, 88, 84, 81, 80, 77, 71, 25.
Phase 1: Diagram the x and y axes and label them. The x-axis would be labelled "score" for this case, and the y-axis would be labelled "relative percentage of frequency ."
Phase 2: Pick the number of bins (in statistics, how to choose bin sizes) and mark your graph. Query, Grou, Grou, for this sample,It's a smart option for groups of 10 (the x-axis values are the bins) (it looks like you'll have 5 bars of one or two objects in the group).
Step 3: To get an indication of where to put the frequency "ticks," divide 100 by the number of data points. In our data collection, we have 10 objects, so it makes sense to count 100/10 = 10 percent (one item would equal 10 percent of the total).
Build a histogram
Step 4: Count how many objects are in each bin and then outline a rectangle corresponding to the percentage of the total filled by the bin on the graph. The first bin (20-30) has 1 object in this sample data package, with 70-80 getting two items. When an object lands on a bin boundary (i.e. 80), bring it up in the next bin (80 will go to 80-90)
(hope this helps can i plz have brainlist :D hehe)
Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).
Answers
A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.
For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:
150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms
Therefore, 150 pounds is approximately equal to 68.0388 kilograms.
In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.
It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.
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The length of a rectangle is 8 inches longer than 3 times its width. The area of the rectangle is 156 square inches.
What is the width of the rectangle?
Answers
The Answer:
Width = 6
Step-by-step explanation:
Let width be w
(3w + 8) x w = 156
3 \(w^{2}\) x 8n - 156 = 0
(w + 8 x 6) (w-6) = 0
w = 6
Two times the sum of a number and 8 is negative 48 what is the number?
Answers
Answer:
-32
Step-by-step explanation:
Let the number be x.
\(2(x+8)=-48 \\ \\ x+8=-24 \\ \\ x=-32\)
What is the algebraic rule used to create the image?
A. (3x, 3y)
B. (1/2x, 1/2y)
C. (1/3x, 1/3y)
D. (X-4, y-2)
I will give brainliest!
Answers
What is the area of the regular hexagon shown below?
Answer in complete sentences and include all relevant calculations.
Answers
Answer:
6381.4 cm²
Step-by-step explanation:
Applying,
A = n/2(a×h)................ Equation 1
Where A = Area of the regular polygon, n = number of sides of the polygon, a = length of one side of the polygon, h = length of the apothem
But,
a = 2htan∅.............. Equation 2
Where ∅ = angle substands at the center by the regular polygon.
∅ = 360/n.................... Equation 3
Substitute equation 3 into equation 2
a = 2htan(360/n)........... Equation 4
Substitute equation 4 into equation 1
A = n/2[2htan(360/n)×h).............. Equation 5
From the question,
Given: n = 6 side, h = 24.78 cm
Substitute these values into equation 5
A = 6/2[24.78×24.78×2×tan(360/6)]
A = 3[24.78×(24.78×2×tan60°)]
A = 6381.4 cm²
6x^2 + 7x + 9 = 11x^26x 2 +7x+9=11x 2
Answers
Answer:
0.81327459 is the awnser i think.
In the figure below, m∠1=(x-12)° and m∠2=5x° . Find the angle measures.
Answers
The diagram shows an angle measuring 90 degrees (right angle).
The two angles labelled 1 and 2 are given as follows;
\(\begin{gathered} \angle1+\angle2=90 \\ (x-12)+5x=90 \\ x-12+5x=90 \\ 6x-12=90 \\ \text{Add 12 to both sides;} \\ 6x-12+12=90+12 \\ 6x=102 \\ \text{Divides both sides by 6;} \\ \frac{6x}{6}=\frac{102}{6} \\ x=17 \end{gathered}\)ANSWER:
Therefore the angle measures are;
\(\begin{gathered} \angle1=x-12 \\ \angle1=17-12 \\ \angle1=5 \\ \\ \angle2=5x \\ \angle2=5(17) \\ \angle2=85 \end{gathered}\)PLEASE AM N MDDLE SCHOOL!
Answers
(If you want an explanation, just ask in the comments and I’ll provide)
Given square ERTN, what is the length of NT ?
Answers
Answer:
|NT| = 25
Step-by-step explanation:
The four sides of this square all have the same length. Thus, 5x = 10x - 25, which, in turn, becomes 25 = 5x, giving us x = 5. The length of NT is 5(x), or |NT| = 25.
Find the polar coordinates of rectangular coordinates (-√2,1). Limit θ to the interval [0,2pi) and round 2 dceimal places if needed
Answers
The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.
To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:
r = √(x² + y²)
θ = tan^⁻1(y/x)
Plugging in the given values of (-√2,1), we get:
r = √((-√2)² + 1²) = √(2 + 1) = √3
θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians
Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:
θ ≈ 2.0344 + π ≈ 5.1779 radians
Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).
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Find a equation of the line that passes through the points (-2,-5) and (4,25) express the final answer in slope - intercept form. PLEASE HELP IM BEING TIMED
Answers
Answer:
y=5x+5
Step-by-step explanation:
to find the slope of the line: 25-(-5)/4-(-2)=30/6=5
so the slope is 5
to find the y-intercept:
y=5x+b
25=5(4)+b (i used the point (4, 25) and plugged in 4 for x and 35 for y)
b=5
so, the equation of the line is: y=5x+5
A formula for 6 gallons of light green paint uses 3/8 gallon of white paint. Liam has 9/16 gallon of white paint. Does Liam have enough white paint to make 8 gallons of light green paint? If not, how much more does he need?
Answers
If Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint
What is word problem?A word problem in mathematics is a maths question written as one sentence or more that requires the application of mathematics knowledge to a 'real-life' scenario.
Given that 6 gallons of light green paint use 3/8 gallon of white paint, this can be expressed as:
3/8 gallons of white paint = 6 gallons of light green
We are to determine if 9/16 gallons will be enough to make 8 gallons of light green paint. This can be expressed as
9/16 gallons of white paint = x
Divide both expressions
3/8 x 16/9 = 6/x
2/3 = 6/x
By cross multiplying
2x = 3 x 6
2x = 18
x = 18/2
x = 9
This shows that if Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint
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each system of equations by SUBSTI
x + 3y = 9
4x – 2y = -6
Answers
Answer:
\(\huge\boxed{x=0,\ y=3\to(0;\ 3)}\)
Step-by-step explanation:
\(\left\{\begin{array}{ccc}x+3y=9&\text{subtract }3y\ \text{from both sides}\\4x-2y=-6\end{array}\right\\\\\left\{\begin{array}{ccc}x=9-3y&(1)\\4x-2y=-6&(2)\end{array}\right\)
Substitute (1) to (2):
\(4(9-3y)-2y=-6\qquad|\text{use the distributive property}\\\\(4)(9)+(4)(-3y)-2y=-6\\\\36-12y-2y=-6\qquad|\text{subtract 36 from both sides}\\\\-14y=-42\qquad|\text{divide both sides by (-14)}\\\\y=3\)
Put it to (1):
\(x=9-3(3)\\\\x=9-9\\\\x=0\)
28,507.72 nearest hundredth
Answers
what is 1 and 8/10 minus two and 2/5?
You get 29 points for answering!
Please answer question correctly and with explanations!
Answers
HELP PLEASE!!
Quadrilateral CDEF is a rhombus. What is m
Answers
Answer:
∠ BDC = 29°
Step-by-step explanation:
the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then
∠ BCD = ∠ BED = 61°
• the diagonals are perpendicular bisectors of each other , then
∠ CBD = 90°
the sum of the 3 angles in Δ BCD = 180°
∠ BDC + ∠ CBD + ∠ BCD = 180°
∠ BDC + 90° + 61° = 180°
∠ BDC + 151° = 180° ( subtract 151° from both sides )
∠ BDC = 29°
I NEED HELP PLEASE, THANKS! :)
The senior class is having a fundraiser to help pay for the senior trip. Selling a box of chocolates yields a profit of $2.45, while selling a box of cookies yields a profit of $2.70. The demand for cookies is at least twice that of chocolates, but the amount of cookies produced must be no more than 550 boxes plus 3 times the number of chocolates produced. Assuming that the senior class can sell every box that they order, how many boxes of each should they order to maximize profit if they cannot order more than 1950 boxes combined? (Show work)
Answers
Answer:
1600 boxes of cookies; 350 boxes of chocolates
Step-by-step explanation:
Let x and y represent the numbers of boxes of cookies and chocolates to order, respectively. The constraints seem to be ...
x ≥ 2yx ≤ 550 +3yx + y ≤ 1950The objective function we want to maximize is ...
p = 2.70x +2.45y
_____
Looking at the problem, we see that cookies yield the most profit, so we'd like to maximize the boxes of cookies sold within the allowed limits.
There are two limits on x:
x ≤ 550 +3y
x ≤ 1950 -y
x will be as large as it can be if it bumps up against these limits simultaneously:
550 +3y = 1950 -y
4y = 1400 . . . . . . . . . add y-550
y = 350
x = 1950 -350 = 1600
Profit will be maximized for an order of 1600 boxes of cookies and 350 boxes of chocolates.
_____
The "feasible region" of the solution is where the three constraint inequalities overlap. It is a quadrilateral with vertices at (0, 0), (550, 0), (1300, 650), and (1600, 350). We can reject the ones with x or y being 0. Per our analysis above, the solution of interest is (x, y) = (1600, 350), since it maximizes x.
The usual protocol for solving a linear programming model like this is to evaluate the objective function at each of the vertices. With a little thought about the problem, we have saved some evaluation effort.
The cycling tour has a $6,500 budget. This includes travel, accommodation and food. If $1,870 is spent to cover the first week’s travel and accommodation, how much money is left
Answers
Answer:
4710
Step-by-step explanation:
6580 minus
1870
4710
Write the slope-intercept form of the equation for each line.
Answers
Step-by-step explanation:
points on the line: (4, -2) & (-5, 3)
gradient of the line = -5/9
general equation for all straight lines: y = mx + c
substitute one coordinate and the gradient into the equation. 3 = (-5/9)(-5) + c
therefore, c = 2/9
so the general equation is y = (-5/9)x + 2/9