A standard bathtub holds 60 gallons of water. A full tub drains 12 gallons per minute. Which of the following tables best represents the situation?
J.
x represents the minutes and y shows how many gallons over that time.
The correct table for best represents the situation is shown in Table J.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
A standard bathtub holds 60 gallons of water.
And, A full tub drains 12 gallons per minute.
Now, From table J;
Rate of change is,
⇒ (24 - 12) / (2 - 1)
⇒ 12 / 1
⇒ 12 gallons per minutes
Which is given in situation.
Thus, The correct table for best represents the situation is shown in Table J.
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Write a compound interest function to model the following situation. Then, find the balance after the given number of years. $16,000 invested at a rate of 1.2% compounded monthly;7 years
A. A=16,100 (1.001)^7t; $17,469
B. A=16,100 (1.1)^12t; $6,766,377,209
C. A=16,100(1.001)^12t; $17,510
D. A=16,000(0.001)^12t; $24,150
Answer:
The answer to this question is:
A = 16,100(1.001)12t; $17,510
Step-by-step explanation:
The model function for compound interest is: [tex](16000[1.001]^{12t})[/tex]
The balance after 7 years will be $17409.
How to calculate the compound interest if it is compounded monthly?Let, P = the principle amount
r = the rate of interest, compounded monthly
t = the time period
Therefore, the amount will be
[tex]= P(1 + \frac{r}{1200})^{12t}[/tex]
Given, the invested amount is $16000.
The rate of interest is 1.2%, compounded monthly.
Total duration of investment is 7 years.
Therefore, the model function of this compound interest is:
= [tex]= (16000[1 + \frac{1.2}{1200}]^{12t})\\= (16000[1 +0.001]^{12t})\\= (16000[1.001]^{12t})\\[/tex]
The amount will be
[tex]= (16000[1.001]^{12t})\\= (16000[1.001]^{84})\\= 17409[/tex]
Therefore, after 7 years, the amount will be $17409.
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Match each inequality to the number line that represents its solution. x – 99 ≤ -104 x – 51 ≤ -43 150 + x ≤ 144 75 < 69 – x
Your friend Shawn tells you that he had been practicing flipping coins so that they will land on heads more frequently than tails. He claims that he can now flip a coin and the probability it will land on heads is 9/10.
PART A
Do you believe him?
A
yes
B
no
Answer:
Yes because I believe my friend
Step-by-step explanation:
Bradley needs at least $280 for a new laptop. He has already saved $40. He earns $8 an hour at his job.
Write and solve an inequality to find how many hours he will need to work to buy the system. Interpret
the solution.
Answer:
so sorry if i am late
Step-by-step explanation:
What is the volume of a sphere with a diameter of 15 cm?
Answer:
V≈1767.15cm³
Step-by-step explanation:
Using the formulas
V=43πr3
d=2r
solving for v
V=16πd3=16·π·153≈1767.14587cm³
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HELP! WILL GIVE BRANLIEST!
Answer:
x = 7
z = 85
Step-by-step explanation:
For x:
8x + 39 = 95
8x = 56
x = 7
For z:
95 + 95 + z + z = 360
190 + 2z = 360
2z = 170
z = 85
Check work:
DOES 85 + 85 + 95 + 95 = 360 ? Yes. Answer is correct.
I would appreciate Brainliest, but no worries.
Patrick is hanging supports on the
wall for a shelf. What is the measure
of the unknown angle?
Answer:
55
Step-by-step explanation:
straight lines are always 180.
[tex]180=125+x\\180-125=125+x-125\\55=x[/tex]
The area of a pasture is 4200 m and the perimeter is 260 m. What are the length and width of the pasture?
Answer:
70 m and 60 m
Step-by-step explanation:
The formula for the area of a rectangle is length ⋅ width.
The area of the pasture of 4200 meters.
70 ⋅ 60 = 4200.
The formula for the perimeter of a rectangle is side + side + side + side.
The perimeter of the rectangle is 260 meters.
70 + 60 + 70 + 60 = 260.
Therefore, the length and width of this pasture are 70 meters and 60 meters.
15) Which coordinate pair identifies a point in Quadrant III of the coordinate plane?
A) (2,3)
B) (-2,3)
C (2, 3)
D (-2, -3)
Victoria purchased 0.6lbs of deli ham for $4.71. What is the cost of ham per pound?
Answer:
$7.85
Step-by-step explanation:
Per pound = 1
Ratios:
[tex]\frac{4.71}{0.6} =\frac{x}{1} \\\\0.6x=4.71\\x=7.85[/tex]
200 cm = m 4pijwedougfehdgijhskjghskdghksdjgh
Answer:
b
Step-by-step explanation:
Find the value of X. geometry!! only answer if you know how please !
Answer:
x = 136
Step-by-step explanation:
This one is quite simple
The shape formed inside of the circle is a quadrilateral.
when a quadrilateral is formed inside of a circle opposite angles of the quadrilateral will add up to 180
we are given x's opposite angle so we can find x by subtracting the given angle's measure (44) from 180
so x = 180 - 44
180 - 44 = 136
hence, x = 136
i’m literally over here crying bc i can’t figure this out. if i don’t turn it in before an hour i get an F. PLEASE HELP. the question is “the diameter of the semicircle below is 12 yards. find the area and perimeter” you don’t have to do both numbers just pls let me know what one you solve. you can even only do area. i just rlly need help.
Answer:
Area = 346.2yd²
Perimeter = 72.1yd
Step-by-step explanation:
AREA
Split it into three shapes: (1) the semi-circle, (2) the triangle, and (3) the rectangle. Find the area of each and then add them together for the area of the whole shape.
Area₁ = πr² = (6²)π = 36π = 113.1 yd²
Area₂ = (1/2)bh = (1/2)(11.3)(14) = 79.1 yd²
Area₃ = lw = (11)(14) = 154 yd²
154 + 79.1 + 113.1=346.2yd²
PERIMETER
The perimeter consists of the length of the curve on the semi-circle, the top , the right side, the bottom, and the slanted line.
length of the curve on the semi-circle = half the cicumference of circle with radius 6 = (2π(6))/2 = 6π = 18.8
the top = 22.3
the right side = 14
the bottom = 11
the slanted line = the hypotenuse of triangle(2) - the diameter of circle(1) = (√(11.3²+14²))-12= (√(323.69))-12=18-12=6
18.8+22.3+14+11+6=72.1yd
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
14 is what percentage of 100?
Answer:
14%
Step-by-step explanation:
Answer:
14%
Step-by-step explanation:
It is like subtraction, if you do 14 - 100 you get 86 so you took away 14 from 100 so you would get 14%
A triangle has angles measuring 23 and 48 degrees. What is the measure of the third angle?
Answer:
109
Step-by-step explanation:
Hope this helped :)
Answer: The answer is 48 degrees hope this helped
Step-by-step explanation:
Help me and give me the answer please no scammers
Answer:
r = 84
Step-by-step explanation:
2pir
2(3)(14)
6(14)
84
A bike wheel has a diameter of 21 in. What is the circumference of
the tire? Use 22/7 for π
Answer:
66 in
Step-by-step explanation:
5. At Michael's store, a paint set is on sale for $39.99. The original price was
$66.65. What percent of the original price is the sale price?
PLS HURRY
around 50%
Step-by-step explanation:
because 30 of half of 60
Answer:
$ 26.66
Step-by-step explanation:
Minus the orignal price and the sale price and then you will get the answer
-4r + 1 = -2r - 17
a. 9
b. 11
c. -18
d. -16
giving brainliest !!! *easy*
Answer: 600 sq cm
Step-by-step explanation: Each side is 100 cm^2, and there are a total of 6 sides. 100•6=600.
Hope this helps!
Answer:
SA = 600
Step-by-step explanation:
A cube has six sides.
The formula to find the SA of a cube is 6a^2
6 x 10^2 = 6 x 100 = 600
Change the statement from standard form to slope-intercept form. Identify the slope and y-intercept.
9x + 2y = 4
slope (m)
y -intercept
9
a.
b.
C.
9
2
d. 2
e. -4
PREVIOUS
00:35:13
Answer: 2 is the y intercept
Step-by-step explanation:
Slope is rise over run and in this problem our y intercept is 2 because it is defined as the y. Negate your 9 and put it over the y intercept to make into a fraction to represent slope. This makes it y = mx + b form now.
y = - 9/2x + 2
2,057,328 to the nearest 100,000
Answer:
2,100,000
Step-by-step explanation:
Just round
Determine whether the series -3 + 9 - 27+ .... is convergent or divergent.
Answer:
divergent
Step-by-step explanation:
just took it
In how many ways can a starting team of 5 players be chosen from a team of 14
Answer:
There are thousands of different combinations possible.
Step-by-step explanation:
Find the surface area of the prism. 5cm 7cm 4cm
20 points! Please help
A population has a standard deviation of 7.89. What is the approximate standard error of the mean for a sample size of 300?
A.
0.026
B.
0.46
C.
17.32
D.
2.20
Using the Central Limit Theorem, it is found that the approximate standard error of the mean for a sample size of 300 is given by:
B. 0.46
What does the Central Limit Theorem State?It states that the sampling distribution of sample means of size n from a population with standard deviation [tex]\sigma[/tex] has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have that the parameters are [tex]\sigma = 7.89, n = 300[/tex], hence the standard error is given by:
[tex]s = \frac{7.89}{\sqrt{300}} = 0.46[/tex]
Hence option B is correct.
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I need help with angles
Answer:
1. ∠CFD = 28°
2. ∠RPQ = 53°
Step-by-step explanation:
For the first one:
∠CFD and ∠DFE are angles on a straight line
Angles on a straight line add up to equal 180
That being said we can find the missing angle (∠CFD) by subtracting the given angle measure (152°) from 180
so ∠CFD = 180 - 152
180 - 152 = 28
Hence, ∠CFD = 28°
For the second one:
Complementary angles have a sum of 90°
If ∠RPQ and ∠SPR are complementary angles we can find the missing angle ( ∠RPQ in this case ) by subtract the given angle measure ( 37° ) from 90
so ∠RPQ = 90 - 37
90 - 37 = 53
Hence , ∠RPQ = 53°
A 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} . Find the probability of rolling a number greater than 18.
Answer:
the probablity of rolling a number greater than 18 is 0
Step-by-step explanation:
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Answer:
The probability is 0 since there is no outcome that gives him a role greater than 18
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