Answer: Luke spent 45.5 hours working
Step-by-step explanation:
let x = hours worked
[tex]641.5 = 13x + 50\\\\641.5-50 = 13x\\\\591.5 = 13x\\\\\frac{13x}{13}=\frac{591.5}{13} \\\\x=45.5[/tex]
We can conclude Luke spent 45.5 hours working
which is the graph of the function?
at first glance, you'll see that there is a negative beside the stretch factor of 2 which suggests that the function will be opening downwards, which means that we can eliminate g.
the vertex is then at (-3, 5) which narrows down the answer to F.
Answer:
it's orange
Step-by-step explanation:
because black is (x-<+17)
and yellow is 61 that means that y =orange
A cube has a volume of 1000 cubic feet. what is the length of an edge of the cube? show how you found the answer. please help
volume = (side length)³
Alternatively we could say that;
Side length = ∛volume
(we have just found the cube root of both sides here, remember we can do what we like to an equation, as long as we do the same to both sides!)
Because we cubed side length to get volume, side length must be the cubic root of the volume, the ∛.
We know that the volume is 1000 cubic feet, so;
Side length = ∛1000
∛1000 = 10
So the length of an edge of the cube is 10 feet.
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION !!
3 √5 + 15 √5
Answer:
18√5 or Decimal Form: 40.24922359…
Step-by-step explanation:
8. Sabrina works in a restaurant. The dessert of the day is a slice of apple pie. Today, Sabrina served 33 slices of pie to her customers.
If there are 8 slices per pie, how many pies did Sabrina serve today? Write your answer as a mixed number.
with solutions
Please help thank you
Step-by-step explanation:
33÷8= 4 with one left over
4 and 1/8 is your mixed number!
Roberto farms a tract of land that typically yields 147.4 kilograms of peas. A fertilizer manufacturer claims that its fertilizer will produce a 25% increase in the yield. What total amount of peas should Roberto expect from this tract of land if he applies the fertilizer? If necessary, round your answer to the nearest hundredth.
Answer:
184.25 kg
Step-by-step explanation:
25% more is found by adding 25% of the original value to the original value. It is equivalent to multiplying the original value by (1 +25%) = 1.25.
__
25% of Roberto's yield is ...
147.4 kg × 0.25 = 36.85 kg
If Roberto's yield increases by that amount, it will be ...
147.4 kg + 36.85 kg = 184.25 kg
Roberto should expect a yield of 184.25 kg.
Answer:
184.25
Step-by-step explanation:
A jar of pennies weighs 50 ounces. If the number of pennies inside the jar is doubled, the jar of pennies will weigh 92 ounces. How much does the jar weigh?
Answer:
8 ounces
Step-by-step explanation:
50×2=100
100-92=8
there ya go
Identify the image of ∆XYZ for a composition of a 10 degree rotation and 80 degree rotation, both about point X.
I NEED THE ANSWER ASAP
Simplify √40
Select one:
a. 20
b. 4
c. 4√10
d. 2√10
Answer:
Option D. [tex]\sf 2\sqrt{10}[/tex]
Please Help me ( i give brainly) Given the graphs of the three functions below...At what x value are all functions equal to each other?
x = 0
x = 10
x = 7
x = 4
Answer:
7
Step-by-step explanation:
Because it is asking what X value are all the functions equal to just find a point that lies on X that they all come to.
In this case it's 7
Answer:
x = 7
Step-by-step explanation:
The functions are equal to each other where the lines of the functions intersect each other.
The intersection point is (7, 3).
The x-value at this point is 7.
Hence, x = 7.
Are there real-world examples of both two- and three-dimensional figures?
if so what are they?
Answer:
yes
Step-by-step explanation:
because a shadow cab be expressed by a two dimension
PLEASE HELP <3 Figure out which ones best fit the graph
The scenario that match this graph is 12 gallons are presently in the bath tube draining at 3 gallons per minute.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the graph using points (0, 12) and (4, 0):
y intercept = 12; slope = (0 - 12)/(4 - 0) = -3
The scenario that match this graph is 12 gallons are presently in the bath tube draining at 3 gallons per minute.
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Find the surface area of the rectangular prism.
4 yd
3 yd
3 yd
Answer:
[tex]A = 66\ yd^2[/tex]
Step-by-step explanation:
You can either add up all the areas of the faces of the rectangular prism, or you can use the following formula:
[tex]A = 2(wl+hl+hw)\\A = 2(3 \times 3 + 4 \times 3 + 4 \times 3)\\A = 2(9+12+12)\\A = 2(33)\\A = 66[/tex]
Answer:
The surface area of the rectangular prism is [tex]66\ yd^2[/tex]
Step-by-step explanation:
Step 1: Find the area of the front and back
[tex]A = l * w[/tex]
[tex]A = 3\ yd * 4\ yd[/tex]
[tex]A = 12\ yd^2 * 2[/tex]
[tex]A = 24\ yd^2[/tex]
Step 2: Find the area of the top and bottom
[tex]A = l * w[/tex]
[tex]A = 3\ yd * 3\ yd[/tex]
[tex]A = 9\ yd^2 * 2[/tex]
[tex]A = 18\ yd^2[/tex]
Step 3: Find the area of the left and right sides
[tex]A = l * w[/tex]
[tex]A = 3\ yd * 4\ yd[/tex]
[tex]A = 12\ yd^2 * 2[/tex]
[tex]A = 24\ yd^2[/tex]
Step 4: Total area
[tex]A_{total} = 24\ yd^2 + 18\ yd^2 + 24\ yd^2[/tex]
[tex]A_{total}= 66\ yd^2[/tex]
Answer: The surface area of the rectangular prism is [tex]66\ yd^2[/tex]
there are 11 clowns and 3 elephants. how many is all together?
Answer:
14
Step-by-step explanation:
The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day.
Which statements are true based on the model?
Select each correct answer.
The store earns about $50,000 in profits on its best days.
Maximum profits are earned when there are 6 clerks working.
The store earns profits when no clerks are working.
Maximum profits are earned when there are 3 clerks working.
The store loses money when 7 or more clerks are working.
Answer:
See below ~
Step-by-step explanation:
The true statements based on the graph :
Maximum profits are earned when there are 3 clerks working.The store loses money when 7 or more clerks are working.Graph (x - 2)2 + (y - 1)2 = 9 - Double tap to add text
Answer:
Step-by-step explanation:
(x−2)2+(y−1)2=9
This is the form of a circle. Use this form to determine the center and radius of the circle.
(x−h)2+(y−k)2=r2
Match the values in this circle to those of the standard form. The variable r
represents the radius of the circle, h represents the x-offset from the origin, and k
represents the y-offset from origin.
r=3
h=2
k=1
The center of the circle is found at (h,k)
.
Center: (2,1)
These values represent the important values for graphing and analyzing a circle.
Center: (2,1)
Radius: 3
Which of the following are solutions to the inequality below? Select all that apply.
5 ≥ s
Answer:
: w ≤ - 6
Step-by-step explanation:
Leo needs to write an essay for history class. He estimates that he can write 1.5 pages per
hour, and his essay needs to be 6 pages long.
Write an equation that shows the relationship between the number of hours Leo spends
writing, x, and number of pages he has left to write, y.
========================================================
Work Shown:
x = number of hours
1.5x = number of pages written after x hours
y = 6-1.5x = number of pages left after x hours
--------------
In other words, if Leo can write at a pace of 1.5 pages per hour, and works for x hours, then he has written 1.5x pages so far. The difference of this with 6 will tell us what is left over. So the expression 6-1.5x is the amount of pages left, which is the value of y.
--------------
An example:
x = 2 so 1.5x = 1.5*2 = 3
At the 2 hour mark, Leo has written 3 pages. He has 6-1.5x = 6-1.5*2 = 6-3 = 3 pages left.
please only answer question b
Answer:
P = 12 + 2π cm
Step-by-step explanation:
arc length is calculated as
arc = circumference × fraction of circle
the angle subtended at the centre of the sector = 360° - 300° = 60° , then
arc = 2πr × [tex]\frac{60}{360}[/tex]
= 2π × 6 × [tex]\frac{1}{6}[/tex]
= 2π
the perimeter (P) = 6 + 6 + 2π = 12 + 2π
Sam and his mother made an agreement for the upcoming weekend concerning internet usage and watching television. The function on the graph below represents the agreement they made.
What does the x-intercept represent?
Answer:
See below
Step-by-step explanation:
The x-intercept is where the line first passes the x-axis, or when y=0. In this case, if you are on the internet for 5 hours, then you have 0 hours to watch TV.
Answer:
sam is watching 5 hours on the internet and no time on the television
Step-by-step explanation:
X-
x=8
r=3
Find the measure (in degrees) of the central angle subtended by the arc length of 8 centimeters
Answer:
Step-by-step explanation:
The potential energy of an object varies jointly with the mass of the object and the height of the object off the ground. a 40-kg object is 2 meters off the ground. the potential energy of the object is 784 joules. a 10-kg object is 3 meters off the ground. what is the potential energy of the 10-kg object? 33 joules 131 joules 294 joules 1,176 joules
The potential energy of the 10-kg object is 294 joules.
What is Variation?Variation is a mathematical term that shows the relationship between two or more parameters or quantities in an equation.
Analysis:
let potential energy be = P
let mass be = m
let height be = h
P ∝ mh
P = kmh
when P = 784, m = 40kg, h = 2 meters
784 = k x 40 x 2
k = 9.8
P = 9.8mh
when m = 10kg, h = 3 meters
P = 9.8 x 10 x 3 = 294 joules.
In conclusion, the potential energy of the object at 3 meter height is 294 joules.
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Using polynomial long division how can you determine if x-3 is a factor of x^3+4x^2-12x+24
When the remainder of the polynomial is 0, it is a factor and when it is not zero, then it is not a factor.
What is a polynomial?A polynomial is an algebraic equation with at least the power of its being 2.
When the power of the variable is 2, it is called a quadratic equation.
Analysis:
If [tex]x^{3}[/tex] + 4[tex]x^{2}[/tex] -12x + 24 is divided by x -3, quotient is [tex]x^{2}[/tex]
remainder 7[tex]x^{2}[/tex]-12x+24
7[tex]x^{2}[/tex]-12x+24 divided by x-3, quotient is 7x, remainder 10x + 24
10x+24 divided by x-3, quotient is 10, remainder is 54
In conclusion, since it has a non zero remainder, then x - 3 is not a factor of the polynomial.
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Find the outer perimeter of this figure.
Round your answer to the nearest hundredth.
Use 3.14 to approximate .
12.2 ft.
10 ft.
6 ft.
14 ft.
P = [?] ft.
Answer:
61.90
Step-by-step explanation:
12.2+14+14+6=46.2
of semi circle
circumference of semi circle = [tex]\pi[/tex]d
[tex]\pi[/tex]x10 = 10[tex]\pi[/tex]
semi circle so divide by 2 = 5[tex]\pi[/tex]
5[tex]\pi[/tex] = 15.7
46.2 + 15.7 = 61.9
Drag each line to the correct location on the image. Not all lines will be used.
Match the lines of best fit to the scatter plots.
#1
The line should start just over origin
Line 2 is best fit as it will contain most dots on both sides#2
Line should step downwards to contain moSt dots
Line no 6#3
Quite above origin and half steadier (angle about 30-45)
Line 4#4
Almost staright line and almost parallel to x axis
Line 3
19. Find the x- and y-intercepts of the equation -x + 2y = 8. Write your answers as ordered pair.
Answer this, Please help.
Step-by-step explanation:
y-x+2 =0 is the right answer so try in that way
please help me i really don't understand it
Answer:
32 possible outcomes
Step-by-step explanation:
4 × 2 × 4 = 32
Translation 3 units left and 15 units down
Rotation 270° counterclockwise around the origin
Answer:
W'' (-5,-11) , X'' (-11,-9) , Y'' (-9,-3) and Z'' (-3,-5)
Kindly check the attached image for more reference
Step-by-step explanation:
Given points of WXYZ ( can be identified by looking at the graph )
W : (14,10) X : (12,4)Y : (6,6) Z : (8,12)Applying translation 3 units left , 15 units down
(Note when shifting left , you subtract from the x value , when shifting down, you subtract from the y value.)
Rule for translation (x,y) ===> ( x - 3 , y - 15 )
Applying translation to given points
W : (14,10) ===> (14-3,10-15) ===> (11,-5)X : (12,4) ===> (12-3,4-15) ===> (9,-11)Y : (6,6) ===> (6-3,6-15) ===> (3,-9)Z : (8,12) ===> (8-3,12-15) ===> (5,-3)Applying rotation 270° counterclockwise around the origin
Rotation 270° clockwise rule : (x,y) ===> (y,-x)
Explanation of rule , change the sign of the x values, then swap the x and y values places.
Applying rotation rule to points
W : (11,-5) ===> (y,-x) ===> (-5,-11)X : (9,-11) ===> (y,-x) ===> (-11,-9)Y : (3,-9) ===> (y,-x) ===> (-9,-3)Z : (5,-3) ===> (y,-x) ===> (-3,-5)So the final points of square WXYZ after the two transformations would be W'' (-5,-11) , X'' (-11,-9) , Y'' (-9,-3) and Z'' (-3,-5)
To see this graphed, kindly view the attached image.
The red square represents the square before any transformations
The blue square represents the square following the translation
And the black square represents the coordinates of the square after the full transformation including both the translation and the rotation .
Answer:
Original image:
W = (14, 10)
X = (12, 4)
Y = (6, 6)
Z = (8, 12)
To translate 3 units left, subtract 3 from the x-values (x - 3)
To translate 15 units down, subtract 15 from the y-values (y - 15)
W' = (14 - 3, 10 - 15) = (11, -5)
X' = (12 - 3, 4 - 15) = (9, -11)
Y' = (6 - 3, 6 - 15) = (3, -9)
Z' = (8 - 3, 12 - 15) = (5, -3)
(red square on attachment)
To rotate 270° counterclockwise around the origin (0, 0),
the point (x, y) becomes (y, -x). So, switch x and y and make x negative.
W'' = (-5, -11)
X'' = (-11, -9)
Y'' = (-9, -3)
Z'' = (-3, -5)
(green square on attachment)
whats 2 divide by 1/6.
Answer:
1/3
Step-by-step explanation:
2 divided by 1/6
2/1 divided by 1/6
2/6 ---> Simplify: 1/3
Answer:
12
Step-by-step explanation:
the answer is 12 because 2 dived by 1/6 is 12 i used a calculator to fund the answer btw
the hypotenuse of a right triangle has endpoints (2,7) and (11,-5) what is the perumeter of the triangle?
Answer:
36 units
Step-by-step explanation:
Using the coordinates, you can find the length of each leg of the triangle.
Find the distance between the x-coordinates, 2 and 11 by subtracting.
11 - 2 = 9.
Find the distance between the y-coordinates, 7 and -5 by subtracting.
7 - (-5)
7 + 5 = 12
The two legs of the right triangle are 9 and 12.
Use the pythagorean theorom to find the hypotenuse.
[tex]a^{2} +b^{2} =c^{2} \\9^{2} +12x^{2} =c^{2} \\81 + 144 = c^{2} \\225 = c^{2} \\\sqrt{225}=\sqrt{c^{2} } \\c = 15[/tex]
The three sides of the triangle are 9, 12, and 15. To find the perimeter, add the sides together.
9 + 12 + 15 = 36