it's the first one !!! so it's A
PLEASE HELP Arlene claims that the kth root of x can be expressed as x 1/k. Which equation below justifies Arlene's claim?
(x1k)k=x
(x1k)k=1
(x1k)k=0
(x1k)k=k
The k-th root's inverse function is raising to the k-th power.
So, if we raise the k-th root of some number x to the k-th power, we have applied a function and its inverse to x, and we must get x itself as output:
[tex]f(f^{-1}(x))=f^{-1}(f(x))=x\quad\text{for every invertible function f}[/tex]
So, in our case, we have
[tex](\sqrt[k]{x})^k = \left(x^{\frac{1}{k}}\right)^k=x^{k\cdot \frac{1}{k}}=x^1=x[/tex]
The equation that Arlene claim should be [tex]x^{k.\frac{1}{k}} \ = x^1 = x[/tex]
Equation:The k-th root's inverse function should be raising with respect to the k-th power.
Thus, in the case if we raise the k-th root of some number x to the k-th power, so here we used the function and its inverse to x, and we must get x itself in an output:
So,
[tex](k \sqrt x)^k = (x\frac{1}{k})^k = x^{k.\frac{1}{k}} \ = x^1 = x[/tex]
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which of the following rational functions is graphed below
Answer:
D
Step-by-step explanation:
This graph shows two vertical asymptotes, one at x = +3, the other at x = 4. Thus, we omit the first two answer choices. Next, we substitute 0 for x and determine the y value in Answer Choice C: F(0) = 0. Does the graph go through (0, 0)? Yes, it does. Next, evaluate F at x = 3.5 (halfway between x = 3 and x = 4); that is, evaluate function D at x = 3.5. Does the y value come out to be -4 as shown in the graph? Yes, it does. So D is the correct function to match this graph.
Considering the vertical asymptotes of the function, and it's behavior, it is found that the rational function graphed below is given by:
D. [tex]f(x) = \frac{1}{(x - 3)(x - 4)}[/tex]
What are the vertical asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
In this problem:
There are vertical asymptotes at x = 3 and x = 4, hence the denominator of the function is (x - 3)(x - 4).At x = 3.5, we have that f(x) is approximately 4, hence the numerator is 1.Thus, the correct option is:
D. [tex]f(x) = \frac{1}{(x - 3)(x - 4)}[/tex]
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In the garden, the ratio of roses to daisies is 1:3. There are 8 roses. How many daisies are there.
Answer:
24
Step-by-step explanation:
8*3= 24
if you use this ratio and simplify the new ratio (8:24), you get the original ratio of 1:3
Answer:
24Step-by-step explanation:
[tex]\text{We have the ratio}\\\\roses\ to\ dailes=\dfrac{roses}{dailes}\to1:3=\dfrac{1}{3}\\\\\text{We have}\ 8\ roses.\ \text{Substitute:}\\\\\dfrac{8}{dailes}=\dfrac{1}{3}\qquad\text{cross multiply}\\\\dailes=(3)(8)\\\\dailes=24[/tex]
The resulting R'ST' is an example of what kind of transformation?
rotation
translation
reflecting across y-axis
reflecting across X-axis
Reflection across y-axis
Imagine folding the paper in half with the y-axis being the crease. the triangles would line up perfectly
The resulting transformation is a combination of rotation and translation.
The resulting R'ST' is an example of a Rotation and Translation.
In a rotation, an object is turned or twisted around a fixed point. In this case, R'ST' is rotated around a specific point.
A translation refers to the sliding of an object in a particular direction.
In this case, R'ST' is also shifted or translated in a specific direction.
Therefore, the resulting transformation is a combination of rotation and translation.
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I need help please?!!!
Answer:
Step-by-step explanation:
This explains step by step
Hope this helps! <3 -K
a rectangle is graphed on the coordinate grid.
which represents the equation of a side that is perpendicular to side s?
Answer:
y = x + 3 or y = x - 3
Step-by-step explanation:
Rise over run for slope (m) and then get the y-intercept (b) by continuing the pattern from right to left until you cross the y-axis.
Plug m and b into y = mx + b
side p and side r are both perpendicular to side s.
Side p:
y = x + 3
Side s:
y = x - 3
Maryna spent 1/5 of her money on a book, If she had $80 left after she bought the book, how much money did she have originally
Answer:$400
Step-by-step explanation:
Because, if she spent ONLY 1/5 of her money, and she has $80 left, wouldn't you basically have to multiply 5 with 80 to get the original amount of money?
Answer:
$100
Step-by-step explanation:
If Maryna had $80 after spending 1/5, we know she has 4/5 left. Then, we divide 80 by 4/5. To divide a fraction, we multiply the number by rhe reciprocal. So, we multiply 80/1 by 5/4. 80 multiplied by 5 is 400, and divided by 4 is 100. This is how we get an original amount of $100.
Patrick recorded the daily changes of the value of a stock in dollars : -3.40, -8.09 , -2.47, 1.86, and 3.55. What was the average daily change in the stocks value in dollars?
Plz help!
-$1.71
To find the average of a set of numbers, you add them all together and divide by the amount of numbers.
Start by adding the numbers together to get -8.55.
Since they are 5 numbers, divide -8.55 by 5 to get -1.71.
So, the average daily change of the stock’s value is -$1.71.
asap
pls explain this question about a theater math
A theater can hold 160 giants or 240 elves. If 100 giants are inside, how many elves can also be admitted ?
The answer is 90 elves.
Here's how to find it
100 giants = 100/160 or 5/8
3/8 is left for the elves
3/8 x 240 = 90
∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.)
The value of x is , and the value of y is .
Answer:
x = 11, y = 8
Step-by-step explanation:
ΔABC and ΔFDE are congruent by the postulate SSS
Equate the congruent sides in the 2 triangles
BC = ED, that is
x + 3 = 14 ( subtract 3 from both sides )
x = 11
-------------------------------------
DF = AB, that is
x - y = 3 ← substitute x = 11
11 - y = 3 ( subtract 11 from both sides )
- y = 3 - 11 = - 8 ( multiply both sides by - 1 )
y = 8
Answer:
The value of x is 11 and the value of y is 8.
Step-by-step explanation:
It is given that ∆ABC and ∆FDE are congruent.
The corresponding parts of congruent triangle are congruent.
[tex]AB=FD[/tex] (CPCTC)
[tex]3=x-y[/tex] .... (1)
[tex]BC=DE[/tex] (CPCTC)
[tex]x+3=14[/tex]
Subtract 3 from both the sides.
[tex]x=14-3[/tex]
[tex]x=11[/tex]
The value of x is 11.
Put x=11 in equation (1).
[tex]3=11-y[/tex]
Add y on both the sides.
[tex]3+y=11[/tex]
Subtract 3 from both the sides.
[tex]y=11-3[/tex]
[tex]y=8[/tex]
The value of y is 8.
How did Wilson believe conquered empires should be treated?
They should be stripped of their wealth.
They should remain occupied by their conquerors.
Their people deserved to determine their own political futures.
Answer:
Their people deserved to determine their own political futures.
Step-by-step explanation:
Answer:
Wilson believed that in conquered empires their people deserved to determine their own political futures
Step-by-step explanation:
Wilson was convinced that democracy was gaining ground allover the world so he declared that he believed "just government must rest upon the consent of the governed" during his taking over of office. he worked with the secretary of state Bryan to sign 22 bilateral treaties to agreed to cooling periods
conquered Latin American states were granted freedom to conduct there own affairs without American interference during this period
What is another way to express 48+32?
You could express 48+32 by doing 50 + 30 because your adding 2 to the 48 and subtracting 2 from the 32 so that’s not how you could express that.
You could express it by using negatives.
-1(-48-32)
-1(-80)
80
The orginal was:
48+32
=80
Write an expression to match the statement below. Divide the product of 4 and 5 by the sum of 2 and 8.
Answer: (4 x 5)÷(2 + 8)
Step-by-step explanation:
The product is multiplied so the product of 4 and 5 is 20
The sum is adding so the sum of 2 and 8 is 10
Then it wants you to divide them. The 4 * 5 and 2 + 8 are in parenthesis because they are done first.
the2,8 slope =4;(2,8) is on the line write the equation
Answer:
The equation of the line is y = 4x
Step-by-step explanation:
* Lets revise how to form an equation of a line from its slope and
a point on the line
- The equation of a line is written as y = mx + b where m is the
slope of the line and b is the y-intercept.
- The line intersect the y-axis at point (0 , b)
* Lets solve the problem
- The line has slope = 4
- The line passes through the point (2 , 8)
∵ The slope = 4
∵ m is the slope of the line in the equation
∴ m = 4
- Substitute the value of m in the equation
∵ y = mx + b
∴ y = 4x + b
- To find the value of b substitute the x-coordinate and the
y-coordinate of the point instead of x and y of the equation
∵ The point (2 , 8) lies on the line
∵ y = 4x + b
- Put x = 2 and y = 8 in the equation to find b
∴ 8 = 4(2) + b ⇒ simplify
∴ 8 = 8 + b ⇒ subtract 8 from both sides
∴ 0 = b
- That means the y-intercept = 0 and the line passing through
the origin point
∴ y = 4x + 0
* The equation of the line is y = 4x
math helpp !! :3 will reward :0
The answer is 125° = x because the exterior angle is 55°, from adding up all the exterior angles to ensure they add up to 360°. Then, you would have to use the Supplementary Angeles Theorem to find the obtuse measure beside that 55° exterior angle: 55 + m<x = 180. This is how you get 125° = m<x. You understand?
Answer:
B
Step-by-step explanation:
Two pairs of consecutive sides are congruent, so it can't be C.
At least one pair of opposite sides are parallel, so it can't be A.
The quadrilateral can't be inscribed in a circle, so it can't be D.
Therefore, the quadrilateral is a rhombus. Answer B.
a device is rated at 1,100 watts.what current is required if it is operated at 110 volts?
1 ) Watts =E * I = 110 * 5 = 550 watts =.55 KW
2) I = Watts / e = 1100 / 110 = 10 amperes
3) 1 horsepower = 33000 ft/lbs per minute
HP = ( 2000 * 1000) / (33000 *4) = 15.1515 hp
4) cost = (10 * 100 / 1000) *11 * $0.10 = $1.10
5) This answer will be incorrect because you have not stated the power factor of the motor.
va = I * E = 7.5 * 240 = 1800
2 hp = 2 * 746 watts = 1492 watts
If the motor had a 1.0 power factor (it doesn't) the efficiency would be
efficiency = output / input = 1492 / 1800 = 82.888 %
6) I = watts / E =1000 / 120 = 8.333 amps
7) 1 = watts / E = 1000 / 240 = 4.1616
8) Kw-hr = (2 * 24 * 365 ) / 1000 = 17.52
cost = kw-hr * $0.03 = 17.52 * $0.03 = $0.5256
9) efficiency = (115 * 240) / (2400 * 12) = 95.8333 %
10) KW = (I^2 * R) / 1000 = (20^2 * 5) / 1000 = 2
the current required is 10 amperes.
To calculate the current required for a device rated at 1,100 watts operating at 110 volts, we use the formula P = IV, where P is power in watts, I is current in amperes, and V is voltage in volts.
Rearranging the formula to solve for current, we get I = P / V. Plugging in the given values, we have:
I = 1,100 W / 110 V
Thus, the current required is 10 amperes.
A quality assurance specialist makes $22 an hour for the first 40 hours she works during a week and $29 an hour for each hour worked over 40 hours. Which piecewise equation models her total week pay y in dollars as it relates to the number of hours x that she has worked during the week?
Answer:
hopes this helps
Step-by-step explanation:
this is a tricky one here
40x X 22= $880
second week
40x X 29=1,160
Answer: Our equation becomes,
[tex]y=22x\ ;\ x\leq 40\\\\and\\\\y=29(x+40)\ ;\ x>40[/tex]
Step-by-step explanation:
Let the number of hours she works for be 'x'.
Let the number of dollars she will be paid in week be 'y'.
Cost per hour for first 40 hours = $22
Cost per hour for over 40 hours = $29
We need to model the piece-wise equation for her total pay in week.
So, our equation becomes,
[tex]y=22x\ ;\ x\leq 40\\\\and\\\\y=29(x+40)\ ;\ x>40[/tex]
Let the function f be defined as f(x) = 5x² - 7(4x + 3).
What is the value of f(3) ?
Given : f(x) = 5x² - 7(4x + 3)
Now,
f(3) = 5 × 3² - 7(4 × 3 + 3)
= 5 × 9 - 7(12 + 3)
= 45 - 7 × 15
= 45 - 105
= - 60
Hence,
f(3) = - 60
To find f(3) for the function f(x) = 5x² - 7(4x + 3), we substitute 3 into the function and simplify to get f(3) = -60.
Explanation:To evaluate f(3) for the function f(x) = 5x² - 7(4x + 3), we need to substitute the value of 3 into the function:
f(3) = 5(3)² - 7(4(3) + 3)
Now we simplify the expression step by step:
Calculate the square of 3: (3)² = 9.Multiply this result by 5: 5 × 9 = 45.Multiply 4 by 3: 4 × 3 = 12.Add 3 to the result from the previous step: 12 + 3 = 15.Multiply this sum by -7: -7 × 15 = -105.Combine the results of the multiplications: 45 - 105.The final result is:
f(3) = 45 - 105 = -60.
Please help, If I fail this class I have to do it again and this is my last chance to bring up my grade...
(Questions are in the photo(s) provided)
Thank you so much in advance!
I hope this helps. Good luck, I was in the same boat not too long ago.
How much quarterly budget should be allocated for a facility that spends an average of $30,000 annually for each of its 611 inmates?
Answer:
4,582,500
Step-by-step explanation:
(30,000*611)/4=4,582,500
Answer:
Quarterly budget of $4582500 must be allocated.
Step-by-step explanation:
A facility spends on its inmates of an average = $30000 annually
Number of inmates = 611
Total amount to be spent = $30000×611
= $18330000
Since there are 4 quarters in a year so quarterly budget allocated
= [tex]\frac{18330000}{4}[/tex]
= $4582500
Therefore, quarterly budget of $4582500 should be allocated.
Helen determined she walks about 1,800 steps per 4/5 mile. How many steps did she take if she walked 2 miles?
Divide 1800 by 1/5 and then add the answer to 1800 (4/5) so you get a whole: then double.
Ava and Kelly ran a road race, starting from the same place at the same time. Ava ran at an average speed of 6 miles per hour. Kelly ran at an average speed of 8 miles per hour.
When will Ava and Kelly be 3/4 mile apart?
this is a challenge. please solve.
Answer:
The answer is 22.5
Step-by-step explanation:
The person who answered above me said it was 0.375, but that was in hours. 0.375 hours in min = 22.5.
The person who answered above me is not wrong, it is just that it was in hours.
Welcome! :)
Ava and Kelly will be 3/4 mile apart after 22.5 minutes of running at their respective speeds of 6 mph for Ava and 8 mph for Kelly.
To determine when Ava and Kelly will be 3/4 mile apart in a road race, we must calculate the difference in distance they cover over the same time frame. Ava runs at 6 miles per hour (mph) and Kelly runs at 8 miles per hour (mph). The difference in their speeds is 2 mph (8 mph - 6 mph).
We need to calculate the time it takes for this difference in speed to result in a gap of 3/4 miles. Since speed is distance divided by time, we can use the formula:
Time = Distance / Speed. Substituting the values we have, we get:
Time = (3/4) miles / 2 mph. When we calculate this, we find the time to be 3/8 hours, or 22.5 minutes.
Therefore, Ava and Kelly will be 3/4 mile apart after 22.5 minutes of running at their respective average speeds.
39. The equation of a line in standard form is
4x – 2y = 20. Which of the following is the
equation of the same line in slope-intercept
form?
A. y = 2x – 10
B. y = -2x + 10
C. y = 2x – 5
D. y = –2x – 5
Answer:
Let's solve for x.
4x−2y=20
Step 1: Add 2y to both sides.
4x−2y+2y=20+2y
4x=2y+20
Step 2: Divide both sides by 4.
4x/4
= 2y+20/4
x= 1/2y+5
Answer: x= 1/2y+5
Determine the mode of the set of data in the stem and Leaf plot below.
The mode in a stem-and-leaf plot is determined by identifying which leaf (end digit of a data point) occurs most often for a particular stem (leading digit(s)). For example, in the data set 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10 the mode is 7 as it appears most frequently.
Explanation:The stem-and-leaf plot is a type of graph that provides a visual representation of data. It is a way of organizing data in which we can easily discover the mode, mean, median, and even the shape of the distribution (such as skewness). The mode in a data set is the value that appears the most often. In the context of a stem-and-leaf plot, identifying the mode involves finding which 'leaf' or end digit of a data point (the last digit in a number) occurs most frequently on a particular 'stem' or leading digit (all but the last digit of a number).
For example, in the stem-and-leaf plot of the data set given : 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10 the mode is 7 as the number '7' shows up the most often, which is 6 times. For identifying the mode, we closely look at the list of leaf values for each stem value and determine which leaf occurs more frequently than any other. Therefore, to answer the student's question about finding the mode from a stem-and-leaf plot, they simply need to identify which leaf value occurs most frequently in the data set presented in the plot.
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The mode of the set of data in the stem and Leaf plot is 51
Determine the mode of the set of dataFrom the question, we have the following parameters that can be used in our computation:
The stem and leaf plot
By identifying the stem with the most leaves, we have identified the stem represents the mode of the data set.
Using the above as a guide, we have the following:
The stem is 5 and the leaf is 1
So, the mode is 51
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PLEASE HELP! What's the value of X?
Answer:
25
Step-by-step explanation:
Pythagorean theorem :
a² + b² = c²
Substitute the values:
24² + 7² = x² (c = x)
576 + 49 = x²
625 = x²
x = √625
x = 25
Solve the system of linear equations by graphing. y = –5/2x – 7 x + 2y = 4 What is the solution to the system of linear equations? A. (–4.5, 4.25) B. (–1.7, –2.8) C. (0, –7) D. (3, 0.5)
ANSWER
(–4.5, 4.25)
EXPLANATION
The first equation is
[tex]y = - \frac{5}{2}x - 7[/tex]
This function is in the slope-intercept form
The second equation is:
x + 2y = 4
2y =-x+ 4
[tex]y = - \frac{1}{2}x + 2[/tex]
The graph of the two functions are shown in the attachment.
The point of intersection represents the solution to the system of equations they represent.
The solution is
(–4.5, 4.25)
What's the surface area?
Answer:
2460 square units
Step-by-step explanation:
Calculate the surface area of the Rectangular Pyramid, calculate the surface area of the Square Prism [Cube], then you add them up.
the price of milk found by dividing its cost in cents by its volume in gallon. what are the units in words?
Answer:
gallons and cents
Step-by-step explanation:
These are the things you can basically measure.
Answer:
gallons and cents
Step-by-step explanation:
These are the things you can basically measure.
A square has a perimeter of 258.8 feet. What is the length of each side?
Answer: 64.7
Step-by-step explanation: 258.8 divided by 4
S
Which point is a solution to the linear inequality y<-1/2x+2
(2,3)
(2,1)
(3,-2)
(-1,3)
Answer:
(3, -2)Step-by-step explanation:
Put the coordinates of the points to the inequality and check:
y < -1/2x + 2
for (2, 3) → x = 2, y = 3
3 < -1/2(2) + 2
3 < -1 + 2
3 < 1 FALSE
============================
for (2, 1) → x = 2, y = 1
1 < -1/2(2) + 2
1 < -1 + 2
1 < 1 FALSE
============================
for (3, -2) → x = 3, y = -2
-2 < -1/2(3) + 2
-2 < -1.5 + 2
-2 < 0.5 TRUE
============================
for (-1, 3) → x = -1, y = 3
3 < -1/2(-1) + 2
3 < 1/2 + 2
3 < 2 1/2 FALSE