As We can see that point J is on (-2,5) and L is on (-2,-2)
So we know that distance cannot be in negative, thus
Distance between J and L =5+2=7 units
JL=7
Design a closed rectangular box of width w, length l, and height h. The sides of the box cost 1 cent/cm2 and the top and bottom cost 2 cent/cm2 . (a) Write an equation for cost (in cents) in terms of w, l, and h. Use lower case letters.
Answer:
Equation for cost (in cents) in terms of w, l, and h is 2h(w + l) + 4l*w
Step-by-step explanation:
We are given
A rectangular box with dimensions
Width = w
Length = l
Height = h
This needs to be visualized in 3D
First type of Sides of the box is made using the width and height
second type is made using length and height
Area of the 1st two sides = 2*w*h
Area of the 2nd type of sides = 2*l*h
Area of the top and bottom = 2*l*w
Cost for sides = 1cent/cm^2
Cost of the sides calculated = cost* Area= 1*(2*w*h+2*l*h)
= 2h(w + l)
similarly
cost of top and bottom = 2*2*l*w = 4*l*w
Total Cost = 2h(w + l) + 4l*w
The perimeter of a square is 24 inches. What is its area?
A lawn is 10,000 sq. feet. Ken can mow 1/4 of the lawn in 1/5 of an hour. Katie can mow 3/5 of the lawn in 2/6 of an hour.
a) Who mows the entire lawn faster?
ASAP WILL GIVE BRAINLIEST
Answer:
jo
Step-by-step explanation:
I believe a proportion will form a parabola because it a proportion. It is x and y value which are different. The numbers that come together will form a direct and good parobla
What is the volume of the cylinder below?
9^6^8
O A. 432pi units3
B. 216pi units3
O C. 324pi units3
D. 288pi units3
Answer:
Step-by-step explanation:
288pi units3
The volume of the cylinder in the image given is: 288pi units³.
What is the Volume of a Cylinder?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
we know that,
Volume of a cylinder = πr²h,
where:
r = radius of the cylinder
h = height
Given the following:
r = 6 units
h = 8 units
Volume of the cylinder = 288pi units³
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Maci is paid biweekly and earns $1500 each paycheck. What is his yearly salary?
(Need answer quickly.) The table represents a linear function. What is the slope of the function?
PLEASE HELP!!!!!!!!!!!!!
Which of the following relationships represents a function?
A.
x -1 6 2 6
y 15 13 15 14
B.
x -1 6 -1 10
y 15 15 21 14
C.
x -1 6 1 10
y 15 13 21 15
D.
x -1 6 1 1
y 15 13 15 14
Answer:
the answer is c
Step-by-step explanation:
because it doesn't repeat the same number for example if it was two -1s it wouldn't be a function but positive and negative are different so yeah
Factor by grouping
2xy + 4x + 3y + 6
Answer:
15xy
Step-by-step explanation:
Simplify this expression 3(2x-6)+x.
Answer:
7x-18
Step-by-step explanation:
3(2x-6)+x
multiply 3*2 to get 6x
then 3 *-6 = -18
then you have an extra x which you simply add to the 6x to get 7x
What is an equation of the line that passes through the points (0,6)and (-5,2) ? Put
your answer in fully reduced form
Given that,
Points are (0,6) an (-5,2).
To find,
The equation of line that passes through the given points.
Solution,
We have, x₁ = 0, x₂ = -5, y₁ = 6 and y₂ =2
The equation of line can be calculated as :
[tex]y-y_1=m(x-x_1)\\\\y-6=\dfrac{2-6}{-5-0}(x-0)\\\\y-6=\dfrac{-4}{-5}x\\\\y-6=\dfrac{4}{5}x\\\\5y-30=4x\\\\5y-4x=30[/tex]
So, the required equation is 5y-4x=30.
what is the difference between (-8, -6) and (4, 10)
Answer:
20
Step-by-step explanation:
Convert the following quantities as shown.
(a) 24,000 volts to kilovolts
(b) 551 millivolts to volts
So, 24,000 v = how many kv
enter your response as kV - (Type a whole number or a decimal.)
a. 24 Kilovolts
b. 0. 551 Volts
How to convert the quantitiesIt is important to note that;
1000 volts = 1 Kilovolt
1000 millivolts = 1 volt
a. To convert 24,000 volts to kilovolts
If 1000 volts = 1 kilovolt
Then 24000 volts = x
cross multiply
x = 24000/ 1000
x = 24 Kilovolts
b. To convert 551 millivolts to volts
If 1000 millivolts = 1 volt
Then 551 millivolts = x
x = 551/ 1000
x = 0. 551 Volt
Thus, the values are 24 kilovolts and 0. 551 volt respectively
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Blake was competing in a cooking competition and needed to add 34 cup of flour to a recipe. The only measuring cup he could find was 18 of a cup. Black would need to fill the measuring cup times
Answer:
twice
Step-by-step explanation:
height of cylinder is 24 mm and 8 mm radius whats the volume
Answer:
4825.49 mm^3
Step-by-step explanation:
V = (pi)(r^2)(h)
(pi)(8^2)(24) = 4825.48632 (round) 4825.49
hopefully this is right i haven't done cylinders in a while lol
Need help with math bell ringer
Answer:
y = 2
Step-by-step explanation:
Slope that passes through two points, (10, y) and (3, 4) = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
Where,
[tex] (10, y) = (x_1, y_1) [/tex]
[tex] (3, 4) = (x_2, y_2) [/tex]
m = -²/7
Plug in the values
[tex] \frac{-2}{7} = \frac{4 - y}{3 - 10} [/tex]
[tex] \frac{-2}{7} = \frac{4 - y}{-7} [/tex]
Cross multiply
[tex] -2*-7 = 7(4 - y) [/tex]
[tex] 14 = 28 - 7y [/tex]
[tex] 7y = 28 - 14 [/tex]
[tex] 7y = 14 [/tex]
Divide both sides by 7
y = 2
a hexagon is graphed on the coordinate plane below which side is 4 units long?
A. GH
B. FG
C. LK
D. KJ
Answer:
FG
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
What is the equation of the ine?
Answer:
Step-by-step explanation:
x=0 is the equation because is just a vertical line
Answer: X=0
Step-by-step explanation:
Which of the following is a non-prime factor of 70?
Two factors are multiplied, and their product is 32.3046. One factor is a whole number. How many decimal places are in the other factor? Tell how you know.
Step-by-step explanation:
a whole number has 0 decimal places (after the decimal point, meaning on the right side of the decimal point).
so, all the decimal places (4) must come from the other factor.
a multiplication by a whole number is always a series of additions of the other factor with itself. if anything, such a multiplication eliminates decimal places. it does not create additional ones.
e.g.
3.06 × 5 = 15.3 (because it is actually 15.30, but trailing 0s don't have any value like leading 0s, and are normally skipped).
the increase in the decimal places happens by involving places with higher value : 1/10 has a higher value than 1/100, that has a higher value than 1/1000, and so on.
so, e.g. 0.2×9 = 1.8 (and not 0.18).
as it is 2/10 × 9 = 18/10 = 1.8
an addition cannot create suddenly new decimal places with lower value.
therefore, normally we would say the other factor has 4 decimal places.
but in reality, it is a I said above, the 4 decimal places of the result of the multiplication "come from the other factor".
we cannot say that the other factor has 4 decimal places, because it could have more, and the multiplication with the whole number removed some.
e.g. 3.6 × 5 = 18 (or 18.0).
so,
32.3046 could be 6.46092 × 5
when we think this through, the other factor could have infinitely many decimal places.
like 5/9 × 108 = 0.555555... × 108 = 60
or our number
32.3046 could be 0.2991166666... × 108
so, all we can say, the other factor must have at least 4 decimal places.
What number does b stand for in this equation?
3b = 12
Answer:
4
Step-by-step explanation:
3x4=12
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x) - 3?
A.
It is the graph of f(x) translated 3 units to the left.
B.
It is the graph of f(x) translated 3 units down.
C.
It is the graph of f(x) where the slope is decreased by 3.
D.
It is the graph of f(x) translated 3 units up.
Answer:
It is B
Step-by-step explanation:
It is the graph of f (x) reflected about the x-axis and shrunk vertically by a factor of 10.
Answer:
B.
It is the graph of f(x) translated 3 units down.
Step-by-step explanation:
Use the point-slope form to write the equation of a line that passes through the point (-20,-16) with slope -1−1.
(It must be a y=mx+b answer please)
Question 1a: Given the function below. find f(-2)
f (x) = x2 + 4x - 5
E
Your answer
The area of a rectangular field is 8320 square yards . the width is 65 yards . how long is the field? dont forget to include units in your answer!!
The measure of length of the rectangular field is 128 yards.
Given that, the area of a rectangular field is 8320 square yards. The width is 65 yards.
We need to find measure the length of the rectangular field.
What is the area of a rectangle?The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, the area of the rectangle = (a × b) square units.
Now, 8320 = 65 × b
⇒b=128 yards
Therefore, the measure of length of the rectangular field is 128 yards.
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Supposed the profit from the sale of a product in a week is
P(x)=16x-100-0.1x²
There is a limit in the production of the product at 100 units for the week.
What level of production will yield a profit of $180
Step-by-step explanation:
180 =16x-100-0.1x2
-0.1x2+16x-280=0
x2-160x+2800=0
S=160
P=2800
DELTA=160*160-4*2800
DELTA=25600-10800
DELTA=14400
x1,2=160+/-
[tex] \sqrt{14400[/tex]
divided by 2
x1,2=160+/-120 div by 2
x1=140
x2=20
Whats the slope for y=3x+5
1. 3
2. 5
Answer: The slope is 3
Step-by-step explanation:
y=3x+5
Slope intercept form formula is y=mx+b
m stands for slope
b stands for y-intercept
Therefore the slope is m which is 3
Please please help me!!
solve the system of equations.
{ x= 3y + 4
{3x - 9y = 12
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. There is one solution. The solution of the system is __ ( simplify your answer. Type an ordered pair.)
B. The solution set of the system {(x,y)| x = 3y+4}.
C. The solution set is ∅.
Answer:
infinite solution
Step-by-step explanation:
if substitute 3y+4 Into 3x your equation should be 3(3y+4)-9=12 then you multiply and combine like terms then your answer should be 12=12 which is a true statement meaning it has infinite solutions
Find the measure of θ. (to the nearest tenth) A) 28.8° B) 33.4° C) 61.2° D) 63.4°
Answer:A:28.8
Step-by-step explanation:
Answer: 28.8
Step-by-step explanation:
what is the slope-intercept of? 3x-2y = -16
Answer:x intercept: (-16/3 ,0) y intercept: (0,8). bascially: (-16/3,8)
Step-by-step explanation: