Answer:
The answer is C .
Step-by-step explanation:
What is the percent of change from 55 to 22?
Answer:
40 percent
Step-by-step explanation:
22/55 = 0.4
0.4 = 40%
check answer: 55 x 0.4 = 22
Use IF functions to calculate the regular pay and overtime pay based on a regular 40-hour workweek in cells E5 and F5. Pay overtime only for overtime hours. In cell G5, calculate the gross pay based on the regular and overtime pay. Abram’s regular pay is $398. With 8 overtime hours, Abram’s overtime pay is $119.40.
Excel formulas are expressions used to perform computation.
The Excel formula to enter in cell E5 is =IF(D5<$B$21,D5,$B$21) * C5The Excel formula to enter in cell E5 is =IF(D5>$B$21,(D5-$B$21) * C5 * $B$22, 0)The regular payFrom the complete question, cell B21 represents base work hour
So, we start by checking if the work hour in cell D5 is less than the base work hour in cell B21
If yes, the work hour remains D5; otherwise the work hour is cell B21
The work hour is then multiplied by the rate in cell C5
Hence, the Excel formula to enter in cell E5 is =IF(D5<$B$21,D5,$B$21) *
The overtime payHere, we start by checking if the work hour in cell D5 is greater than the base work hour in cell B21
If yes, the overtime hour the difference between D5 and B21; otherwise the overtime hour and pay is 0
The over time hour if there is, is then multiplied by the rates in cells C5 and B22
Hence, the Excel formula to enter in cell E5 is =IF(D5>$B$21,(D5-$B$21) * C5 * $B$22, 0)
Read more about Excel formulas at:
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Please help me figure these out!
Step-by-step explanation:
just u have to put the values of sin and cos and you will get the answer
hope u get help
A pan balance has 3cubes on one pan and 11 cubes on the other pan. Lucy thinks she should add 7,8,9 or 10 cubes to make the pans balance how can you use the equation 3+c=11 to find the number of cubes lucy should add
Answer:
c = 8
Step-by-step explanation:
Solve for C
3 + c = 11. subtract 3 from both sides
c = 8
Answer:
8
Step-by-step explanation:
3+c = 11
c = 11-3
c=8
Write and equation in slope intercept form of the line that has a slope of -6 and passes through the point (3,-4).
Hi! I will help you with a smile!
First of all, we have the slope of the line and a point that it passes through.
Let’s write the line’s equation in Point-Slope Form:
y-y1=m(x-x1)
Where
y1 is the y-coordinate of the point, m is the slope of the line, and x1 is the x-coordinate.
In this case, y1=-4, m=-6, and x1=3
Solve:
y-(-4)=-6(x-3)
y+4=-6x+18
y=-6x+18-4
y=-6x+14 (Answer)
Hope it helps.
Do comment if you have any query regarding my answer.
Answered by
PeacefulNature :-)
Answer:
y = -6x+14
Step-by-step explanation:
m = -6 ,given as x an y (3,-4)
solution y-y1 = m(x-x1)
y-(-4) = -6(x-3)
y+4 = -6x+18
then y = -6x+18-4
y = -6x+14
There are 11 rainbows that total 1,011 miles in total. What is the mean length of the rainbows?
It can be seen that the value of the mean computed will be 91.9 miles.
How to calculate the meanA mean simply means the average of a set of numbers. In this case, there are 11 rainbows and thete are total of 1,011 miles.
Therefore, the mean of the numbers will be:
= 1011/11
= 91.9 miles.
In conclusion, the correct option is 91.9 miles.
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What is the exact volume of a cone with a radius of 10 and a height of 6?
Answer:
Step-by-step explanation:
r = 10
h = 6
[tex]Volume =\dfrac{1}{3}\pi r^{2}h\\\\\\ =\dfrac{1}{3}*3.14*10*10*6\\\\=3.14 * 10 * 10 * 2\\\\= 628 \ cubic units[/tex]
An executive for the movie production company wants to create a function that models this data. . Create a function that can be used to model the data shown in the table . Be sure to define the variables and provide justification for your choice of function . Discuss any possible domain restrictions which should be placed on your model . Use your model to estimate the box office gross the company should expect in week 10 .
Functions can be modeled by equations, tables and graphs
The equation that models the function is [tex]y = \frac 14x +1[/tex]The domain of the function is the set of whole numbersThe company should expect 4 box office gross in week 10 How to determine the functionFrom the question, we have the following ordered pairs
(x,y) = (0,1) and (4,2)
The function is a linear function.
So, we start by calculating the slope (m) using:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
Substitute known values
[tex]m = \frac{2 - 1}{4 - 0}[/tex]
[tex]m = \frac{1}{4}[/tex]
The equation is then calculated as:
[tex]y = m(x -x_1) +y_1[/tex]
This gives
[tex]y = \frac 14(x -0) +1[/tex]
[tex]y = \frac 14x +1[/tex]
The domain of the above function is the set of whole numbers
Substitute 10 for x, to calculate the number of box office gross for week 10
[tex]y = \frac 14 * 10 +1[/tex]
[tex]y = 3.5[/tex]
Approximate
[tex]y = 4[/tex]
Hence, the company should expect 4 box office gross in week 10
Read more about linear functions at:
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Two positive integers differ by 9. If the squares of the integers are added, the result is 125. Find
the two integers.
Answer:
x - y =9
x^2 + y^2 = 125
2^2 + 11^2 = 125
11-2 = 9
Thus, the two numbers are 2 & 11.
Hope this helps!
PLEASE HELP NO LINKS, MAY PIN FILES, OR TYPE BOX THANK YOU FOR ANSWER
Answer:
1. Paul has mixed up the translation of the ordered pair.
New location: (1, 5)
2. Option C : E = (3, 2) F = (8, 4) G = (5, 7)
Step-by-step explanation:
An ordered pair is a pair of numbers, (x,y) , written in a particular order.
It is often used to represent a point on a coordinate plane.
1. From inspection of the diagram, the market is located at (3, 8)
Paul's mistake is that he has mixed up the translation of the ordered pair. He has moved the market 3 to the left and 2 units down instead of the required 2 to the left and 3 units down.
The correct ordered pair for the new location of the market is (1, 5)
2. For each coordinate point (x, y), the first number is the x-coordinate (along the x-axis) and the second number is the y-coordinate (along the y-axis).
E = (3, 2)
F = (8, 4)
G = (5, 7)
Find the equation (in terms of x ) of the line through the points (-4,-4) and (2,4)
Answer:
[tex]y=\frac{4}{3}x+\frac{4}{3}[/tex]
Step-by-step explanation:
Let [tex](x_1,y_1)\rightarrow(-4,-4)[/tex] and [tex](x_2,y_2)\rightarow(2,4)[/tex]:
Determine slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{4-(-4)}{2-(-4)}\\ \\m=\frac{4+4}{2+4}\\ \\m=\frac{8}{6}\\ \\m=\frac{4}{3}[/tex]
Use either coordinate point to find "b", the y-intercept
[tex]y=mx+b\\\\4=\frac{4}{3}(2)+b\\ \\4=\frac{8}{3}+b\\ \\\frac{4}{3}=b[/tex]
Final Equation
[tex]y=\frac{4}{3}x+\frac{4}{3}[/tex]
I add 12 to a certain number and then double the result. The answer is 42. Find the original number
what is 1 2/10 divided by 1 4/10
Answer:
The answer is 6/7
Step-by-step explanation:
How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly complete the statements. Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is Choose. Units. The width of the rectangle is Choose. Units. The area of the rectangle is Choose. Square units. The area of the triangle is half the area of the rectangle, so the area of the triangle is Choose. Square units.
The area of the triangle can be found by copying the triangle and putting the bases together such that it forms the diagonals of the triangle.
What is the area of the triangle?The area of the triangle is half the product of the height of the triangle and the base of the triangle.
As we know that the area of a rectangle is double the area of a triangle,
therefore, in order to calculate the area of a triangle we need to convert it to a rectangle and then divide the area of the rectangle by 2.
Also, we know that the diagonal of a rectangle divides it into two equal triangles, therefore, we will put the triangle along the diagonal of the base.
Thus, to find the area of the triangle we will copy the triangle and put the base of the together such that it forms the diagonals of the triangle.
Since the triangles are put on each other along the base, therefore, the height(h) of the triangle will be the length of the rectangle, and the breadth of the triangle will be equal to the base of the triangle(b).
Learn more about Area of Triangle:
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Ai need help please 43
Step-by-step explanation:
please just need help
The figure is made up of 2 rectangles and 2 right triangles
What is the area of this figure
132 units^2
156 units^2
168 units^2
216 units^2
Answer:
total area = 132 units²
Step-by-step explanation:
Area of a rectangle = width x heightArea of a triangle = 1/2 x base x height
Area of largest rectangle = 4 x 15 = 60 units²
Area of smallest rectangle = 4 x 6 = 24 units²
Area of largest triangle = 1/2 x (15 - 6) x (4 + 4) = 36 units²
Area of smallest triangle = 1/2 x 6 x 4 = 12 units²
Total area of the figure = sum of areas of 2 rectangles and 2 triangles
⇒ area = 60 + 24 + 36 + 12 = 132 units²
At a grocery store, tasting cups are used to let customers try a
new brand of chicken stock. An ounce of chicken stock can be filled up by 5 tasting
cups. Each carton of chicken stock is 16 oz. if 5,630 customers tried the chicken stocks in
one day, they drank about ____ cartons of chicken stock.
A. 70
B. 110
C. 350
The heart rate of 10 football players is sampled. The rates, measured in beats per minute, are
62, 74, 74, 64, 76, 64, 80, 76, 68, 76
What is the best estimate of the population mean for heart rate among football players?
Enter your answer in the box.
beats/min
PLEASE ANSWER ASAP
Answer:
I know that I saw that on social
Answer:
71.4
Step-by-step explanation:
add all together and divide by the number of players.
24 liters of water is pumped in 20 seconds
How long will it take to pump 84 liters?
pls help
Answer:
70 s
Step-by-step explanation:
24 L = 20s
84 L = 20×84/ 24
= 70 s
ASAP 50 POINTS! Please help with this, it's about angle bisectors.
Step-by-step explanation:
let's name the 2 sides of the bisected angle a and b.
and the 2 segments (created by the bisector) of the opposite side x and y.
then we have
a/b = x/y
question 1
14/21 = x/15
1/3 = x/15
15/3 = x = 5
question 2
8/y = 4/6
8×6 = 4y
48 = 4y
y = 12
question 3
3/4.5 = z/1.5
3×1.5 = 4.5z
4.5 = 4.5z
z = 1
question 4
16.5/p = 11/(29-11) = 11/18
16.5×18 = 11p
297 = 11p
p = 27
question 5
7/13 = (15-x)/x
7x = 13×(15-x) = 195 - 13x
20x = 195
x = 195/20 = 39/4 = 9.75
Which equation represents the rectangular form of r= 8?
Answer:
B
Step-by-step explanation:
put both sides under square root.
x^2 + y^2 = 64
sqrt ( x^2 + y^2 ) = sqrt(64)
x + y = 8
r = 8.
[tex]\underline{r^2=x^2+y^2} \\\\\\ x^2+y^2=64\implies r^2=64\implies r=\sqrt{64}\implies r=8[/tex]
The bottom of ladder must be placed 3 feet from wall.The ladder is 10 feet long. How far above the ground does the ladder touch the wall?
Answer:
9.54ft
Step-by-step explanation:
This problem uses pythagoras theorem as the ladder and the wall make a triangle.
A
B C
Points A, B and C represent this problem. BC is 3ft, AC is 10ft and AB is x, now we sub this information into pythagoras theorem formula
3^2+b^2=10^2
Rearranged this is,
b^2=10^2-3^2
b^2=91
b=[tex]\sqrt{91}[/tex]
b=9.54
The above is rounded to two decimal places
5x+15+10x+7
5(x+3)+2x+7
Step-by-step explanation:
1. Combine Like Terms (Add):
[tex]5x+15+10x+7[/tex]
[tex]15x+22[/tex]
2. Use Distributive Property:
[tex]5(x+3)+2x+7[/tex]
[tex]5x+15+2x+7[/tex]
Combine Like Terms:
[tex]7x+22[/tex]
width is 4 cm hight 8 cm how much square
Answer: The square is 32
Step-by-step explanation:
In - order to find the size of the square you must do width times height . . .
What is 4 x 8 ? 32
The function y = f (x) is linear.
Given f-¹ (0) = 3 and f (1) = - 4, find the formula of
f (x) and f-¹ (x)
Answer:
[tex]f(x)=2x-6[/tex]
[tex]f^{-1}(x)=\dfrac{x+6}{2}[/tex]
Step-by-step explanation:
Using slope-intercept form of linear function: [tex]y = mx + b[/tex]
[tex]\implies f(x)=mx+b[/tex]
[tex]\textsf{if} \ \ f(1) = -4[/tex]
[tex]\implies m + b=-4[/tex]
[tex]\implies b = -4-m[/tex]
Find inverse of slope-intercept form:
swap x and y: [tex]x = my + b[/tex]
Make y the subject:
[tex]\implies x - b = my[/tex]
[tex]\implies y = \dfrac{x-b}{m}[/tex]
[tex]\implies f^{-1}(x) = \dfrac{x-b}{m}[/tex]
[tex]\textsf{if} \ \ f^{-1}(0) = 3[/tex]
[tex]\implies \dfrac{0-b}{m}=3[/tex]
[tex]\implies b=-3m[/tex]
[tex]\textsf{equation 1:} \ \ b = -4-m[/tex]
[tex]\textsf{equation 2:} \ \ b=-3m[/tex]
Equate the equations and solve for [tex]m[/tex]:
[tex]\implies b=b[/tex]
[tex]\implies -4-m=-3m[/tex]
[tex]\implies -4=-2m[/tex]
[tex]\implies m=2[/tex]
Substitute found value for [tex]m[/tex] into one of the equations and solve for [tex]b[/tex]:
[tex]b = -4-2=-6[/tex]
Substitute found values of [tex]m[/tex] and [tex]b[/tex] into equations for [tex]f(x)[/tex] and [tex]f^{-1}(x)[/tex]:
[tex]f(x)=2x-6[/tex]
[tex]f^{-1}(x)=\dfrac{x+6}{2}[/tex]
A computer repair shop charges a $25 fee in
addition to $40 per hour to service a computer.
Write an equation to represent the total cost to
service a computer. Identify your variables.
a) What is the rate of change
b) What is the initial value
c) What is the independent variable
d) What is the dependent variable
Answer:
F=40h+25
a) 40 per hour
b) 25
c) hours
d) how much it costs
Use the bar diagram to write an equation. Then solve for x.
Answer:
we need to know the question
Step-by-step explanation:
The magic number is -15. Combine each statement with the magic number and determine if it will result in zero. _______ a. An elevator rises 15 floors. _______ b. $15 is withdrawn out of your account. _______ c. The temperature rises 15 degrees.
Answer:
A. is 0
B. is -30
C. is 0
Step-by-step explanation:
Hope this helps!
The correct answers are:
0-300CalculationsWe are asked to combine the magic number -15 with the given statements.
Hence, if we combine the magic number with the given statements, we would have:
a. -15 + 15 = 0
b. -15 + (-15)= -30.
c. -15 + 15 = 0.
Hence, the answers are 0, -30 and 0 respectively.
Read more about magic numbers here:
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The equation for the area of a circle is given.
A=πr2
If the radius (r) of the circle is 3, what is the area in terms of π?
3π
3π2
9π
9π2
[tex]A=\pi r^2; r=3 =>\\\\A=\pi \times3^2\\A=9\pi[/tex]
Answer: [tex]9\pi[/tex]
write an equation with infinite solutions using use atleast two operations
Answer:
[tex]a + b = a + b[/tex]
Step-by-step explanation:
plugging in a and b for anything will work, thus resulting in infinite amount of solutions
math question helppp
Answer:
1st row = 10 = y
2nd row = 12 = y
3rd row = 18 = y
4th row = 22 = y
Step-by-step explanation:
Given:
y = 4x + 6
since the y-intercept is 6, we know that when the input value(x) is equal to 0, the output value(y) is equal to 6.
so now we plug in the equation for each row,
starting with the first one.
in the first row it says x is equal to 1 so the equation would look like this:
y = 4(1) + 6
simplified the equation to get
y = 4 + 6 = 10
meaning for the first row, y = 10!
since the x value is constant, and only goes up by 1 each row, this means we can just add 4 more each time.
However, I am going to write the equation for each row anyways.
Second row:
y = 4(2) + 6
simplifys into
y = 8 + 6 = 12
y = 12
Third row:
y = 4(3) + 6
simplifys into
y = 12 + 6 = 18
y = 18
Fourth row:
y = 4(4) + 6
simplifys into
y = 16 + 6 = 22
y = 22
So to recap, the answers to each row are...
1st row = 10 = y
2nd row = 12 = y
3rd row = 18 = y
4th row = 22 = y
I hoped this helped and have a good day :D!!!