Answer:
3 1/3
Step-by-step explanation:
First find the mean which is (2+6+8+12+12)/5=8 then find the distance from the mean and all the numbers in the data set.
For example 2 is 6 away from 8 and so on
Remember it's called the mean absolute deviation so it has to be the absolute value of the distances.
Distances: 6, 2, 0, 4, 4,
Then do 6+2+0+4+4/5 because even though 0 doesn't add anything, it is still a value in the distances. You get 3 1/3
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.
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.
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.
What is the constant of vanation,
of the line y = for through (3.18) and (5,30)?
the constant of variation or namely its slope will be
[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{30}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{30-18}{5-3}\implies \cfrac{12}{2}\implies 6[/tex]
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
Mr. Smith is appointed as the principal of a school. In order to keep the building safe, he appoints 2 hall monitors for every hallway, and 4 supervisors for every 20 hall monitors.
Mr. Smith’s school has 30 hallways. How many supervisors does Mr. Smith need to appoint?
A.
12 supervisors
B.
32 supervisors
C.
16 supervisors
D.
24 supervisors
Reset
We know that there are 30 hallways and we know that there are 2 hall monitors for every hallway. Knowing this, we see that there are 60 total hall monitors
We also know that there are 4 supervisors for every 20 hall monitors.
60 hall monitors can also be thought of as 20 hall monitors + 20 hall monitors + 20 hall monitors
We see that there are 3 groups of 20 hall monitors
Group 1 will have 4 supervisors
Group 2 will have 4 supervisors
Group 3 will have 4 supervisors
Answer: 12 supervisors
What is the simplified form of the quantity of x plus 7, all over the quantity of 6 − the quantity of x plus 5, all over the quantity of x plus 3?
Answer:
Step-by-step explanation:
[ (x + 7) / 6 ] − [ (x + 5) / (x + 3) ]
First, we must find the common denominator. In this case, that's 6 (x+3). Multiply the first fraction by (x+3)/(x+3) and the second fraction by 6/6.
[ (x + 7)(x + 3) / (6 (x + 3)) ] − [ 6 (x + 5) / (6 (x + 3)) ]
Now distribute the numerators:
[ (x² + 10x + 21) / (6 (x + 3)) ] − [ (6x + 30) / (6 (x + 3)) ]
Now we combine the fractions:
((x² + 10x + 21) − (6x + 30)) / (6 (x + 3))
(x² + 10x + 21 − 6x − 30) / (6 (x + 3))
(x² + 4x − 9) / (6 (x + 3))
So the simplified form is:
[tex]\frac{x^{2} + 4x - 9}{6 (x + 3)}[/tex]
If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?
05(4 + 4) - 6
O 5(5(4)-6) - 6
O 54 – 6 + 54 - 6
o 5(4) - 6 + 5(4) - 6
k(x)=5x-6
k(4)=5(4)-6
(k+k)(4)=k(4)+k(4)
=5(4)-6+5(4)-6
I think.
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]
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.
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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∆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.
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.
How many solutions does the equation 5x + 3x − 4 = 10 have?
Zero
One
Two
Infinitely many
I believe that it has two solutions
Answer:
The given equation has just one solution
Step-by-step explanation:
To find the solution to the problem given, we will follow the steps below;
5x + 3x - 4 = 10
We will first start by simplifying
8x - 4 = 10
Add 4 to both-side of the equation
8x - 4 + 4 = 10 + 4
8x = 10
Divide both-side of the equation by 8
8x/8 = 10/8
At the left-hand side of the equation, 8 will cancel-out 8 leaving us with just x while at the right-hand side of the equation 10 will be divided by 8
x=1.25
Therefore the given equation has just one solution
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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I need help with my math
Answer:
Undefined
Step-by-step explanation:
Same x coordinates with different y values is considered undefined
[tex]
s=\frac{-2-6}{-4-(-4)}=\frac{-8}{0}=\boxed{undefined}
[/tex]
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
The table shows ordered pairs of the function y = 8 - 2x.
When x = 8, the value of y is
у
14
10
6
IT
0
L
10
-12
Answer:
-8
Step-by-step explanation:
Simply plug in 8, then evaluate to arrive at your answer.
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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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
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.
what is the length of the line segment with endpoints (-6,-8) and (7,-8)
Answer:
The length of the line segment is 13 units
Step-by-step explanation:
The line segment joining the two points is horizontal since the y co-ordinate is the same.
For a horizontal line, the length of the line segment is simply the difference between the x co-ordinate values.
In this case we have;
7 - (-6) = 7 + 6 = 13
Therefore, the length of the line segment is 13 units
Answer:
your answer is 13 units
Step-by-step explanation:
I do K12
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.
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.
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.
What is
m∠HLG
?
Enter your answer in the box.
Answer:
18°
P.S. Put as brainiest!
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.
through: (-1, 0), parallel to y = 3x
y = mx + b
m = slope
b = y-intercept
Since it is parallel to the equation y = 3x it means that the equation that goes through point (-1, 0) has the same slope (3x)
To find the b plug the x and y of point (-1, 0) into the equation: y = 3x + b then solve for b
0 = 3(-1) + b
0 = -3 + b
0 + 3 = (-3 + 3) + b
3 = b
so...
y = 3x + b
Hope this helped and made sense!
~Just a girl in love with Shawn Mendes
Answer:
y = 3x - 3
Step-by-step explanation:
Since our line is parallel to y = 3x, our slope should be 3. We also have the points (-1, 0).
From here, we can use the point-slope form (how convenient):
y - y₁ = m(x - x₁), where (x₁, y₁) is the given coordinate on the line, and m is the slope of the line
Plug in: y - 0 = 3(x - 1)
We could leave it here, but we should convert this line into the more commonly-seen slope-intercept form.
Distribute: y - 0 = 3x - 3
Identity: y = 3x - 3
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
A car traveled 125 miles in 2.5 hours. If the car continues at the same rate, how far ahead it traveled after three hours?