There are 175 cubic unit initially in the tank
How to determine the initial amount of water?The table of values is given as:
Time (minutes) Amount of Water
1 150
3 100
6 25
Calculate the slope (m) of the table using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (100 - 150)/(3 -1)
Evaluate
m = -25
This means that as the time increases by 1, the amount of the water reduces by 25 cubic unit
When x = 1, y = 150
So, we have:
x = 1 - 1 when y = 150 - (-25)
This gives
x = 0 when y = 175
Hence, there are 175 cubic unit initially in the tank
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what % of 4 is 7
i need this to be answered as quickly as possible please
Answer:
the answer
= 17.5
Step-by-step explanation:
https://www.percentagecal.com/answer/.7-is-what-percent-of-4#:~:text=Percentage%20Calculator%3A%20.,%3D%2017.5
Pictures are in order !
Did you attach the photos because I don't see the picture???
Corey spent 18 minutes coloring. She spent 6 times as many minutes reading
Answer:
18 x 6 =108. she spent 108 minutes reading.
Step-by-step explanation:
In the year 2003, a person bought a new car for $18500. For each consecutive year after that, the value of the car depreciated by 12%. How much would the car be worth in the year 2005, to the nearest hundred dollars?
Answer:
Step-by-step explanation:
t is the number of years since 2003.
f(t) = $18,500×0.88^t
t = 2 in 2005
f(2) = $18,500×0.88²≅ $14,300
Answer:
$14300.00
Step-by-step explanation:
100 - 12 = 88%
88% = 0.88
$18500 x 0.88² = $14326.40
To the nearest hundread:
$14326.40 = $14300.00
0.88² means to the power of 2 since it is 2 consecutive years I did to the power of 2. If it was 3 consecutive years then you do 0.88³.
Hope this helps!
How many cards are in a standard deck of cards? What are their colors?
Answer:
A standard deck of cards consists of 52 cards. The colors are usually black for the spades and clubs and red for the hearts and diamonds.
Step-by-step explanation:
Answer:
There are 52 cards which are either red or black
Step-by-step explanation:
The length, I, of your arm is usually about 3/8 of your height,
h. Which equation demonstrates this?
3/8h=l
3/8l=h
h=5/8l
l=8/3h
Answer:
l=8/3h equation demonstrates this
Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.
What are the solutions to the attached equation?
Answer:
x = -6, 1
Step-by-step explanation:
x=[tex]\frac{-5+\sqrt{49} }{2}[/tex] or x= [tex]\frac{-5-\sqrt{49} }{2}[/tex]
x=[tex]\frac{-5+7}{2}[/tex] or x=[tex]\frac{-5-7}{2}[/tex]
x=2/2 or x=-12/2
x = 1, -6
howdy!!
yr answer is B. x = -6, 1
goodluck on edge!! ^_^
A beach umbrella has a circumference of 8.8 feet what is the radius of an umbrella?
Answer:
radius = 1.4
Step-by-step explanation:
The formula for circumference is as follows:
[tex]C = d\pi[/tex]
or
[tex]C = 2r\pi[/tex]
However, these formulas are the same, because the diameter is equal to the radius times 2. I prefer to use the first (it gives you less values to work with).
Anyhow, We would substitute like this:
[tex]8.8 = d\pi[/tex]
We know that pi, is going to be equal to: 3.14159
So we work from there...
[tex]8.8=d(3.14159)\\2.8011=d[/tex]
Diameter divided by 2 would be the radius, and thats:
1.4006
or 1.4
Please help me i really need help please help me please i really really need help please
Answer:
(6,1) is the correct answer
Answer: (-2,5)
Step-by-step explanation:
how does the stimulus check impact society please help me please i really need help please
People started getting stimulus checks during the time when c0vid-19 was a major issue because most places where people would work were closed, so people were getting money through stimulus checks because they were basically unemployed. This money went back into the economy to buy mostly essentials and health products, so therefore it helped businesses that sold these kinds of things.
Speed equals distance multiplied by time. *
A: True
B: False
Angle A corresponds to Angle
OB
Oc
ОЕ
OD
none of the above
Answer:
A corresponds to angle E
Find the area between y=-x and y=x at [0,3]
Answer:
don't listen to the other person
Step-by-step explanation:
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
36?
Step-by-step explanation:
split in two, triangle 6x6=36/2=18, rectangle 6x3=18, whole 18+18=36 your answer is 36
Answer:
it's 36 square feet
Step-by-step explanation:
It is desired to check the calibration of a scale by weighing a standard 10-gram weight 100 times. Let μ be the population mean reading on the scale, so that the scale is in calibration if μ = 10 and out of calibration if μ ≠ 10. A test is made of the hypotheses H0 : μ = 10 versus H1 : μ ≠ 10. Which of the three conclusions is best if H0 is rejected?
Complete question :
It is desired to check the calibration of a scale by weighing a standard 10 g weight 100 times. Let µ be the population mean reading on the scale, so that the scale is in calibration if µ = 10. A test is made of the hypotheses H0:µ = 10 versus H1:µ ≠ 10. Consider three possible conclusions: (i) The scale is in calibration, (ii) The scale is out of calibration, (iii) The scale might be in calibration.
Which of the three conclusions is best ifH0 is rejected?
Answer:
The scale is out of calibration
Step-by-step explanation:
The null hypothesis ; H0
H0 : μ = 10 ; if this hold true, then the scale is in calibration
Alternative hypothesis ; H1
H1 : μ ≠ 10 ; if this holds true, then the scale is out of calibration
If the Null hypothesis, H0 is rejected, it means that, there is significant evidence to support the alternative hypothesis ; that the scale is out of calibration.
Hence, the best conclusion is that, the scale is out of calibration.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
PLEASE HELP WITH THESE QUESTIONS! WILL GIVE 100 POINTS!
1. a single die is rolled two times. what is the probability that the next role will role four?
2. toms scores were: 80,80,70 and 90. what was his weighted average if the tests were weighted at 1,2,3,4 and 4 respectively?
Answer:
1. 1/6 2. 80
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mathematics challenge
Get the equation of the line containing PQ using the point-slope formula:
y - (-2) = 3/2 (x - (-6))
Solve for y to get it in slope-intercept form:
y = 3/2 x + 7
so the y-intercept is (0, 7).
The line containing QR is then
y - 7 = -3/4 (x - 0)
or
y = -3/4 x + 7
The point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:
0 = -3/4 x + 7
3/4 x = 7
x = 4/3×7 = 28/3
So the point R has coordinates (28/3, 0).
Answer:
Point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:
0 = -3/4 x + 7
Take off the zero...
3/4 x = 7
Answer
x = 4/3×7 = 28/3
And there it is
Point R has the coordinates (28/3, 0).
Step-by-step explanation:
the number value of 2 in the number 4256
Answer:
200
Step-by-step explanation:
Answer: 200
Step-by-step explanation:
The two is in the hundredths place
Can someone help me with this
(show work)
Answer:
16
Step-by-step explanation:
$500 ÷ $31.25 = the number of the calculator that the school bought
It is because each calculator cost RM31.25 and the school used $500 to buy plenty of number of them.
Which expression has a value located to the right of 1 on the number line?
a) -1 - 7
b ) 1 - 7
c) - 7 - 1
d) 7 + 1
Harry manages a sales force which sells several products in different sales territories. A random sample of 25 territories were selected and the data is provided in an Excel worksheet labelled Harrys. The variables include total sales credited to the sales representative (Sales), the length of time employed in months (time), the market potential (Poten), the advertising expense for the territory (AdvExp), the market share (Share), the change in market share over the previous three years (Change), the number accounts assigned to the sales representative (accounts), an index representing the workload (work), the rating on the last performance review (rating) and whether it is a star territory (star territories have performed well in the past).
Using the methods discussed in this class, determine the “best” regression model to predict Sales. Write a brief report (less than two pages) summarizing your analysis, including key statistical results, conclusions, and recommendations. Include any appropriate technical material in an appendix.
Answer:
13,000 i think
Step-by-step explanation:
hi does anyone have the answer for this? 100 points if answered :))
Answer:
15 feet
Step-by-step explanation:
This is already factored for the zeros of the quadratic. If x - 5 = 0 and x - 20 = 0 then x = 5 and 20. The ball was kicked 5 feet out and landed at 20 feet down the field. The difference is 15 feet. That's how far the ball traveled from its initial position on the ground to its landing place.
So 15 feet from where it was kicked.
PLS HELPPP GEOMETRY!!!!!!
You are on a fishing boat that leaves its pier and heads east. After traveling for 24 miles, there is a report warning of rough seas directly south. The captain turns the boat and follows a bearing of S45°W for 13.4 miles.
a. At this time, how far are you from the boat's pier?
b. What bearing could the boat have originally taken to arrive at this spot?
Answer:
a-17.3 miles b-S57 E
Step-by-step explanation:
d^2=30^2+12^2-2(30)(12)
sin45
What is the scale factor from LMN to OPO?
A.1
Β. 4
C. 3
D. 0
Answer:
A. 1
Step-by-step explanation:
A contractor is building a fence around a square garden that has a side length of 3 inches in a scale drawing. The scale factor of the drawing is 1 1/2 inches : 4 feet. If one link of fence measures 2 2/3 feet, shade the correct number of links needed to build a fence around the entire garden
The number of fences needed to build around the entire garden is 12.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
We have,
Side of the square garden = 3 inches
Scale factor.
1(1/2) inches = 4 feet
3/2 inches = 4 feet
3 inches = 8 feet
Now,
Length of one fence.
= 2(2/3) feet
= 8/3 feet
Now,
The perimeter of the square.
= 4 side
= 4 x 3 inches
= 12 inches
= 4 x 8 feet
= 32 feet
Now,
The number of fences needed to build the fence around the garden.
= 32 ÷ 8/3
= 32 x 3/8
= 12 fences
Thus,
12 fences are needed to cover the entire garden.
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Subtract 11x - 4y from the sum of 15x + 15y and - 18x + 15y.
Answer:
-14x + 34y
Step-by-step explanation:
First, find the sum of the two expressions by adding like terms:
(15x + 15y) + (-18x + 15y)
= -3x + 30y
Now, subtract 11x - 4y, again by combining like terms:
(-3x + 30y) - (11x - 4y)
= -14x + 34y
So, the answer is -14x + 34y
The polynomial - 16 + v.t+s, represents the height (in feet) of an object, where v, is the initial vertical
velocity (in feet per second), s, is the initial height of the object (in feet), and is the time in seconds). Write a polynomial that represents the
height of the object. Then find the height of the object after 1 second.
Complete question is;
The polynomial -16t² + v_o(t) + s_o represents the height (in feet) of an object, where v_o is the initial vertical
velocity (in feet per second), s_o is the initial height of the object (in feet), and t is the time in seconds. Write a polynomial that represents the height of the object that has an initial velocity of 25 ft/s and initial height of 4ft. Then find the height of the object after 1 second.
Answer:
A) Polynomial is h(t) = -16t² + 25t+ 4
B) h(1) = 13 ft
Step-by-step explanation:
A) We are given;
h = -16t² + v_o(t) + s_o
Where;
v_o = the initial vertical velocity
s_o = the initial height of the object
t = the time
We are given;
v_o = 25 ft/s
s_o = 4 ft
Thus, polynomial that represents the height is;
h(t) = -16t² + 25t+ 4
B) after a time of 1 second, height is;
h(1) = -16(1²) + 25(1) + 4
h(1) = -16 + 25 + 4
h(1) = 13 ft
Can someone please help me
Answer:
x = 28
Step-by-step explanation:
Angles on a straight line = 180°
4x + 3 + 2x + 9 = 180
4x + 2x + 3 + 9 = 180
6x + 12 = 180
6x = 180 - 12
6x = 168
6x/6 = 168/6
x = 28
1. Dylan invested $47,000 in an account paying an interest rate of 4% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $79,200?
2. x^2 + y^2 = 153 and y = -4x. If (x, y) is a solution to the system of equations above, what is the value of y^3?
Answer:
(1) 13.0 years
(2) [tex]y^{3} =[/tex] {-1728, 1728}
Step-by-step explanation:
(1)
Compound annually:
[tex]Pe^{rt}[/tex] = A
(47000)[tex]e^{(0.04)(t)}[/tex] = 79200
[tex]e^{(0.04)(t)}[/tex] = [tex]\frac{79200}{47000}[/tex]
ln([tex]e^{(0.04)(t)}[/tex]) = ln([tex]\frac{79200}{47000}[/tex])
ln and e cancel out.
(0.04)(t) = ln([tex]\frac{79200}{47000}[/tex])
t = [tex]\frac{ln(\frac{79200}{47000})}{0.04}[/tex]
t = 13.0 years
(2)
[tex]x^{2} +y^{2} = 153\\y = -4x[/tex]
Substitute y with -4x.
[tex]x^{2} + (-4x)^{2} = 153[/tex]
Solve for x.
x = {-3, 3}
Plug in x values into any equation to find y.
y = -4(-3) and y = -4(3)
y = {-12, 12}
[tex]y^{3}[/tex] = [tex]-12^{3}[/tex] = -1728
[tex]y^{3}[/tex] = [tex]12^{3}[/tex] = 1728
Answer:
13.3
Step-by-step explanation:
I got it right