3Overnight, a pipe cracked and started to leak into a basement. The graphshows the depth of the water in relation to time.
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The water rises 10 inches each hour.
The water is 40 inches deep.
It will take 8 hours to be 80 inches deep.
Related Questions
HELP ASAP!!!
I’ll make it Brainliest
Answers
Answer:
The answer to number 1 is c.
For the second one, I think it's D but I'm not sure.
Step-by-step explanation:
The median is the middle number of a list where all the numbers are listed from least to greatest.
Please tell me if I was right on the second one.
A scale model of an object has a scale of 1 cm : 2 ft. The actual object is 11 feet tall. How tall is the model?
Answers
Answer: The model is 69.420 feet tall.
Step-by-step explanation: I asked my teacher.
Answer:
5.5 cm
Step-by-step explanation:
If you take 11 and divide it by 2 you would get 5.5cm. This is the answer because If 1cm is 2 ft you divide it by the actual height and you end up with how tall the model would be.
Calcular los 3/5 de los 2/3 de las 3/4 de 560
Answers
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Antonio weighs four pounds more than twice his brother weight. If Antonio weighs 97 pounds, how much does his brother weigh? Write and solve equation.
Answers
Answer:
The bother's weight is 46.5 lb.
Step-by-step explanation:
Let the brother's weight be b.
Antonio's weight is 2b + 4.
Antonio's weight is 97 lb.
2b + 4 = 97
2b = 93
b = 46.5 lb
Answer: The bother's weight is 46.5 lb.
help me stop airing I pay u £5
Answers
Answer:
the answer is 0.428
Step-by-step explanation:
i did the math
Find the interest earned on a $50,000 deposited for six years at 4 1/8% interest, compounded continuously.
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The interest earned on a \($\$ 50,000$\) deposited for 6 years at \($4\frac{1}{8 }\%$\) in compounded continuously is \($\$ 14040.97$\).
Continuous compounding is the mathematical limit of the number of periods across which compound interest can be calculated and reinvested into the account balance. Although it is impractical, the concept of endlessly compounded interest is important in finance. This is an extreme example of compounding because most interest is compounded on a monthly, quarterly, or semiannual basis.
The given amount is \($\$ 50,000$\).
It will be deposited for 6 years.
With \($4\frac{1}{8 }\%$\) interest,
The formula for compounded continuously is
\($$\begin{aligned}&A=P e^{r t} \\&P=50000 \\&r=4 \frac{1}{8}=\frac{33}{8}\end{aligned}$$\)
\($$\begin{aligned}r &=0.04125 \\t &=6\end{aligned}$$\)
Substitute all the values
\($$\begin{aligned}&A=50000 e^{0.04125 \times6} \\&A=50000 e^{0.2475} \\&A=50000\times 1.28081\\&A=64040.96811\end{aligned}$$\)
\($\mathrm{I}=\mathrm{A}-\mathrm{P}$\)
Interest \($=64040.96811-50000=14040.9681$\)
Hence, Interest \($=\$ 14040.97$\)
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Find the area of the parking space shown to the right
-18ft and 9 1/4 ft-
Answers
Answer:
166 1/2 or 166.5
Step-by-step explanation:
The formula for finding area is length*width. This can also just be written as A=l*w. Our area is still unknown, so it'll stay as A in this equation. Here, our length and width don't matter all that much, so we can input them where we please.
Now, we have the equation A=18*9 1/4
So, let's solve! 18*9 1/4 is equal to 166 1/2 or 166.5
With this, the area is equal to 166 1/2 or 166.5
figure: production possibilities reference: ref 2-1 (figure: production possibilities) which of the following is not correct regarding combination x? question 5 options: a) because it is on the line, combination x has no opportunity cost. b) society might judge other combinations on the line to be preferable to x. c) the combination might be allocatively efficient. d) the combination is productively efficient.
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Combination X will still have an opportunity cost, society might judge other combinations on the line as preferable to combination X, and it may be allocatively efficient, but it may not be productively efficient.
The Production Possibilities Curve (PPC) is a model used to illustrate the tradeoff between producing two goods. Combination X is a point on the PPC, and is not the same as other combinations on the same line.
A) This statement is not correct. Combination X will still have an opportunity cost associated with it. Opportunity cost is the cost of choosing one option over another, and it is the difference in the total outputs between the chosen combination and the next best combination. For example, if combination X produces 8 units of good A and 10 units of good B, and the next best combination produces 10 units of good A and 8 units of good B, the opportunity cost of combination X is 2 units of good B.
B) This statement is correct. Society might judge other combinations on the line as preferable to combination X because of their comparative advantage in producing one good over another.
C) This statement is correct. Allocative efficiency is the optimal combination of goods and services that maximizes the total benefit of society. Combination X may be allocatively efficient if it maximizes the total benefit of society.
D) This statement is not correct. Productive efficiency is the optimal combination of inputs that maximizes the
output of a good or service. Combination X may not be productively efficient if it does not maximize the output of a good or service.
Combination X will still have an opportunity cost, society might judge other combinations on the line as preferable to combination X, and it may be allocatively efficient, but it may not be productively efficient.
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Plz help me with this
Answers
Answer:
interest = $5040
total= $6090
Step-by-step explanation:
1050 × .16 = 168
168 × 30 = $5040
$1050+ $5040 = $6090
Suppose the population of a town is 5,900 and is growing 2% each year. Write an equation to model the growth in population.
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The equation/formula to model population growth can be given below;
\(\begin{gathered} P=P_0\times e^{rt} \\ \text{where P = total population after time t} \\ P_0=orig\text{inal or starting population} \\ r=\text{ rate of growth in percentage} \\ t=\text{time in years} \\ e=\text{Euler's constant = }2.71828 \end{gathered}\)Therefore, for the question using the same formula, we have the model equation as;
\(\begin{gathered} P_0=5000 \\ r=2\text{ \% = 2/100=0.02} \\ \text{Then the equation will be;} \\ P=5000\times2.71828^{0.02t} \end{gathered}\)Hence, P = 5000 x 2.71828^0.02t
Was it evaluated correctly?
Explain your reasoning
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I need to know how many items must be sold to obtain a weekly profit of $300
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We have the cost function and the revenue function given as follows;
\(\begin{gathered} \text{Cost function:} \\ C=70x+540 \\ \text{ Revenue function:} \\ R=110x-0.4x^2 \end{gathered}\)The profit is calculated by subtracting cost from sales, that is;
\(\text{Profit}=\text{revenue}-\cos t\)Therefore, we would now have;
\(\begin{gathered} \text{Profit}=110x-0.4x^2-(70x+540) \\ \text{Profit}=110x-0.4x^2-70x-540 \\ \text{Profit}=110x-70x-0.4x^2-540 \\ \text{Profit}=40x-0.4x^2-540 \\ We\text{ can re-write this as;} \\ \text{Profit}=-0.4x^2+40x-540 \end{gathered}\)With the profit function we can now calculate the profit if we have the quantity produced (which is x). However, we have been given a weekly profit of $300, which means we can determine how many units are sold by inputing the profit into the profit function as follows;
\(\begin{gathered} \text{Profit}=-0.4x^2+40x-540 \\ 300=-0.4x^2+40x-540 \\ \text{Subtract 300 from both sides and you'll have;} \\ _{}-0.4x^2+40x-840=0 \end{gathered}\)We can now solve this quadratic equation as follows;
\(\begin{gathered} -0.4x^2+40x-840=0 \\ \text{Multiply all through by 10 to remove the decimal and we'll have;} \\ -4x^2+400-8400=0 \\ \text{Use the quadratic equation formula,} \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Where,} \\ a=-4,b=400,c=-8400 \\ x=\frac{-400\pm\sqrt[]{(400)^2-4(-4)(-8400)}}{2(-4)} \\ x=\frac{-400\pm\sqrt[]{160000-134400}}{-8} \\ x=\frac{-400\pm\sqrt[]{25600}}{-8} \\ x=\frac{-400\pm160}{-8} \\ x=\frac{-400+160}{-8},x=\frac{-400-160}{-8} \\ x=30,x=70 \end{gathered}\)From the results, we can see that to make a profit of $300 per week, the company needs to sell 70 or 30 units of the product.
ANSWER:
They need to sell 70 or 30 items
Find (f.g)(x) for f(x) = 4x - 9 and g(x)=3x^2. Show all work for full credit.
Answers
Answer:
The answer is (f.g)(x) = 12x^2 - 9.
Step-by-step explanation:
To find (f.g)(x), we need to apply the composition of functions formula, which is:
(f.g)(x) = f(g(x))
First, we need to find g(x):
g(x) = 3x^2
Now, we need to plug g(x) into f(x) in place of x:
f(g(x)) = 4(g(x)) - 9
= 4(3x^2) - 9
= 12x^2 - 9
Therefore, (f.g)(x) = 12x^2 - 9.
Hope this helps, I'm sorry if it doesn't! If you need more help, ask me! :]
The bill was $23.75. I decide to leave $28 including the tip. What was the percent of the tip? Round it to the nearest percent.
Answers
Answer:
18% I think
Step-by-step explanation:
23.75 x .179 = 4.25125
23.75 + 4.25 = 28
.179 = 17.9%
jaden buys 1.15 pounds of cheese at the deli counter. If each slice is 0.05 pounds, how many slices of cheese does she buy?
Answers
Answer:
23 slices
Step-by-step explanation:
1.15 divided by 0.05=23 slices
what is the meaning of sequence in mathematic and
Answers
Answer:
A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.
Step-by-step explanation:
Suppose it takes John 10 minutes to run1 mile. How long would it take if he to run 4 kilometers
Answers
Evidence; 4 kilometers is 2.49 miles so 10•2=20
0.49 miles left so what we would do here is 0.1 mile is 1 minute so 0.01 mile is 10 seconds so 0.09 miles would be 90 seconds, and 90 seconds is 1 min and a half so thats 20+4+1.30=25.3
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Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
π,√6,2√6,√7
(a) Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
(B) Order the ribbon sizes from least to greatest.
Answers
The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6 < √7 < π < 2√6
(a)
π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)
√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)
2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)
√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)
(b)
Order from least to greatest:
√6 < √7 < π < 2√6
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A high-profile consulting company chooses its new entry-level employees from a pool of recent college graduates using a five-step interview process. Unfortunately, there are usually more candidates who complete the interview process than the number of new positions that are available. As a result, cumulative GPA is used as a tie-breaker. GPAs for the successful interviewees are Normally distributed, with a mean of 3.3 and a standard deviation of 0.4. Out of the163 people who made it through the interview process, only 121 can be hired. What cut-off GPA should the company use
Answers
Answer:
3.04
Step-by-step explanation:
Mean = 3.34
Standard deviation= 0.4
n = 163
X ~ N(3.3, 0.4)
The cut off gpa = j
P(x>j) = 121/163
P(x<=j) = 42/163 = 0.26
O.26 represents the 26th percentile
We solve further by using Microsoft Excel. We use the function NORMINV on excel to get GPA
X =. NORMINV(0.26, 3.3, 0.4)
X = 3.04 approximately
We conclude that the required gpa is 3.04
If sin x=0.2, write down the values for sin (pi-x)
Answers
If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.
Given that,
the value of sin x = 0.2
We have to find the value of sin(π - x).
We know the trigonometric rule that,
sin(π - x) = sin (x)
for any value of x.
So here whatever the value of x, the value of sin(π - x) is sin (x) itself.
So here sin x = 0.2.
So, by the rule,
sin(π - x) = sin (x) = 0.2
Hence the value is 0.2.
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(Score for Question 3:___ of 4 points)
3. Answer the questions by drawing on the coordinate plane below.
(a) Draw the image of APQR after a rotation of 180° about the origin. Label the image AP'Q'R'.
(b) Draw the image of APQR after a reflection across the x-axis. Label the image AP"Q"R".
Answer:
Answers
(a) A 180° rotation about the origin would involve rotating the shape by 180° clockwise around the point (0,0).
(b) A reflection across the x-axis would involve reflecting the shape over the x-axis.
What is coordinate plane?
Each point is identified by an ordered pair of numbers: an x-coordinate on the x-axis and a y-coordinate on the y-axis. The starting point is at (0,0).
(a) A 180° rotation about the origin would involve rotating the shape by 180° clockwise around the point (0,0). This would result in the image of APQR being upside down, with A' being located at the point (0,-2), P' being located at the point (-1,-1), Q' being located at the point (1,-1), and R' being located at the point (0,-2)
(b) A reflection across the x-axis would involve reflecting the shape over the x-axis. This would result in the image of APQR being a mirror image of the original shape, with A" being located at the point (0,2), P" being located at the point (-1,1), Q" being located at the point (1,1), and R" being located at the point (0,2)
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Factor: 120u² + 125u + 30.
Answers
Answer:
5(3u+2)(8u+3)
Step-by-step explanation:
lmk if you want an explanation
Answer:
5(3u+2)(8u+3)
Step-by-step explanation:
Well you first want to factor out any GCF which in this case is 5
5(24u² + 25u + 6)
so now a, b, c = 24, 25, 6.
ac = 144
factors of 144 that add up to 25 are 9 and 16
rewrite equation
(24u² + 9u) + (16u + 6)
factor out GCF
3u(8u+3) + 2(8u + 3)
(3u+2)(8u+3)
plug that back into entire equation
5(3u+2)(8u+3)
which ones are equal to eachother & why. A,B,C or D?
Answers
Kay loves to save coins. She has a piggy bank that she has been filling for a long time with only dimes and nickels. Recently, her piggy bank was filled to the brim so Kay counted her coins and she discovered that she had $10. She also noticed that she has 11 less dimes than nickels. How many coins were in Kay's bank?
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The total number of coins that were in Kay's bank are 137 coins.
How to determine the number of coins?In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.Let n represent number of nickels.Since she has 11 less dimes than nickels, an equation which models this situation is given by;
n = d + 11 ....equation 1.
Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.
Additionally, the coins are worth 10 dollars;
0.1d + 0.05n = 10 ....equation 2.
By solving both equations simultaneously, we have:
0.1d + 0.05(d + 11) = 10
0.1d + 0.05d + 0.55 = 10
0.15d = 9.45
d = 63 dimes.
For nickels, we have:
n = d + 11
n = 63 + 11
n = 74
Now, we can determine the total number of coins;
Total number of coins = n + d
Total number of coins = 74 + 63
Total number of coins = 137 coins.
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Which choice is equivalent to the product below?
Answers
Answer:
equivalent of √6 . ✓3 is option a. 3√2
√6×3 = √18 = √9. √2 = 3√2
solve the following inequality for z. write your answer in simplest form. -9-(2z-7)>-2z-6-5z
Answers
Answer:
z > -4/5
Step-by-step explanation:
-9 - (2z - 7) > -2z - 6 - 5z
Get rid of the parenthesis
*There is the number one in front of the parenthesis.-9 - 2z + 7 > -2z - 6 - 5z
Combine like terms:
-2 - 2z > -7z - 6
+2 > +2
Add 2 to both sides.
-2z > -7z - 4
+7z > +7z
Add 7 to both sides.
5z > -4
Divide both sides by 5 to get z.
z > -4/5
The sign stays the same unless you divide by a negative number---------------------------------
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The original price of a dining table set is $400. The set is on sale for 40% off. What is the sale price of the set?
Answers
Answer: Your answer will be $240
Step-by-step explanation:
Solve each system by substitution
2x-5y=22
y=4x+22
Answers
Answer:
Point Form (graph) : ( − 22/ 3 , − 22/ 3 )
Equation Form: x = − 22/ 3 , y = − 22/ 3
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Somebody help I’m stuck :(
Answers
Answer:
I got x1 =0 x2=220
Step-by-step explanation:
y=- 00.1x (x-220)
-0.01x (x-220)=0
- 1/100 x(x-220)=0
x (x-220)=0
x=0
x-220=0
Answer x=0 and x=220
Question 10 of 25
What are of a makes the trinomial below a perfect square
x^2-bx+36
Answers
This is the answer. Tell me if you want an explanation.