Answers
Given:
The graph is:
Find-:
(B)
The unit rate of water usage in cubic feet per hour
(C)
Equation of line
(D)
How much water would use at the park on a Tuesday
Explanation-:
(B)
Water usage in cubic feet per hour is:
The line passes at the point (0,0) and (5,150)
Cubic feet per hour is:
\(=\frac{y_2-y_1}{x_2-x_1}\)Where,
\(\begin{gathered} (x_1,y_1)=\text{ First Point} \\ \\ (x_2,y_2)=\text{ Second Point} \end{gathered}\)In the line points are:
\(\begin{gathered} (x_1,y_1)=(0,0) \\ \\ (x_2,y_2)=(5,150) \end{gathered}\)The unit rate of water is:
\(\begin{gathered} =\frac{150-0}{5-0} \\ \\ =\frac{150}{5} \\ \\ =30 \end{gathered}\)
Related Questions
Hello random community i have a question to ask what is 7/8 - 3/4
Answers
Answer: 1/8
Step-by-step explanation:
First make the bottom half the same:
3/4*2/2=6/8
We don’t need to change the first portion since they have a common factor
7/8-6/8=1/8
What is 2448 divided by 10
Answers
Answer:
244.8
Step-by-step explanation:
If we divide a number by 10, we are moving the decimal place on value to the left.
The decimal place is currently here:
2448.000
So moving it left one gets us:
244.8000
Hope this helped!
Marge wants to buy a CD player. The CD player costs $300. Marge gets 30% off. How much did Marge pay?
Answers
Answer:
300-(300*0.3) = 210
Step-by-step explanation:
Answer:
$210
Step-by-step explanation:
300*30%=90
300-90=210
Let be independent random variables with the common distribution function F and suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N (b) Find P(M1} (d) Use (b) and (c) to rederive the probability you found in (a).
Answers
suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is nλe^(-nλx)
Given fx (x) = λe^λx
Fx (x) = 1 – e^-λx x…0
To find distribution of Min (X1,….Xn)
By applying the equation
fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)
For minimum j = 1
[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx
= ne^[(n-1) λx] λe^(λx)
= nλe^(-λx[1+n-1])
= nλe^(-nλx)
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Similar Triangles
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a. 4/15 = 5/12 = 4/15
b. 4/5 = 12/15 = 4/5
c. 4/12 = 5/15 = 1/3
d. 5/4 = 15/12 = 5/4
Please select the best answer from the choices provided
Answers
Answer:
C. 4/12 = 5/15 = 1/3
Step-by-step explanation:
I calculated it logically
Answer:
The answer is A
Step-by-step explanation:
The first two terms of an arithmetic sequence are 6 and 11, respectively. Which of the following represents
the 14 term of the sequence?
1-71
2-66
3-76
4-61
Answers
Answer:
71
Step-by-step explanation:
Add 5 to 11 and then keep adding 5 to every number after that until you get your answer
The 14th term of the sequence will be;
⇒ 14th term = 71
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The first two terms of an arithmetic sequence are 6 and 11,
Now,
Since, The first two terms of an arithmetic sequence are 6 and 11,
Hence, The first term = 6
The common difference = 11 - 6 = 5
We know that;
⇒ nth term = a + (n - 1) d
Where, 'a' is the first term and 'd' is common difference.
Substitute the given values, we get;
⇒ nth term = a + (n - 1) d
⇒ 14th term = 6 + (14 - 1) 5
⇒ 14th term = 6 + 65
⇒ 14th term = 71
Thus, The value of 14th term = 71.
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Rewrite the following equation as a function of x;
3x-7y=10
Answers
\(f(x)=-\frac{10}{7}+\frac{3x}{7}.\)
Step-by-step explanation:1. Write the expression.\(3x-7y=10\)
2. Subtract "3x" from both sides of the equation.\(3x-7y-3x=10-3x\\ \\-7y=10-3x\)
3. Divide both sides by "-7".\(\frac{-7y}{-7} =\frac{10-3x}{-7}\\ \\y=\frac{10}{-7}-\frac{3x}{-7} \\ \\y=-\frac{10}{7}-(-\frac{3x}{7})\\ \\y=-\frac{10}{7}+\frac{3x}{7}\)
4. Substitute "y" by "f(x)".\(f(x)=-\frac{10}{7}+\frac{3x}{7}.\)
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Which number doesn't share the same pattern as
2,20, 4,8,300
Answers
find the answer given below
Answers
Answer:
Surface area = 6l^2
Volume = l^3
If total surface area increased by 2, then the length increased by \(\sqrt{2}\)
Volume then is increased by (\(\sqrt{2}\)l)^3 = 2\(\sqrt{2}\)l^3
1 :2 \(\sqrt{2}\)
Which is not an option in the question so this question clearly has a problem.
First of all It's supposed to be "then" not "than," so I'm not sure who teaches math without even knowing this basic grammar.
Second of all, if the answer is 8:1 the question should be "If each sides of a cube is doubled" not "the lateral surface area." Come to think of it what even is lateral surface area of a cube if all sides of the cube is supposed to be same.
Or, if the answer is 2:1 then, it should be If height lateral surface area of a cube is doubled by doubling the height and without changing the length and width" But, then the the shape would no longer be a cube.
Who even wrote this garbage question what.
why do you get different answers for -5^2 and (-5)^2. And why is one positive (33) and one negative (-18) !!
Answers
Answers to both the given expressions are the same that is 25 and both answers are positive.
What are exponents?The number of times a number is multiplied by itself is referred to as its exponent. For instance, 2 to the third (written as 23) means: 2 x 2 x 2 = 8. 2 x 3 = 6 does not equal 23.Product of powers rule — When multiplying like bases, add powers together.When dividing like bases, apply the power quotient rule.Power of powers rule — When raising power by another exponent, multiply the powers together.So,
-5² = -5 × -5 = 25Similarly,
(-5)² = -5² = -5 × -5 = 25Hence, we can say that the answers to both the expressions are the same and both have positive answers.
As, when we take a square of any negative number, after the multiplication the results always come positive.Therefore, the answers to both the given expressions are the same that is 25 and both answers are positive.
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The graph shows a proportional relationship. Which equation matches the graph?
A. y = 1/5x
B. y = x
C. y = 15x
D. y = 5x
Answers
Find the area of the shape shown below.
Answers
Answer:
The answer is 32
Step-by-step explanation:
The formula for finding the area of a trapezoid is:
((base 1 + base 2)/ 2 )* h
Now all you have to do is substitute the numbers in.
Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.
Answer:
32 square units
Step-by-step explanation:
\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)
Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.
Solve for the value of q
Answers
Answer:
\(q=45\)
Step-by-step explanation:
Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:
\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)
How can you use mental math to multiply two numbers?
Answers
Answer: Break the numbers you're multiplying into parts.
Step-by-step explanation:
What I find helps is splitting up the numbers and later adding them back together. An example of this is:
29×14
First I'd do 29×10, and get 290
Then 20×4, followed by 9×4, resulting in 80 and 36 respectively
Finally, 290+80+36= 406
I find the simplest numbers in the problem (2,5,10,20, etc.) and multiply from there. This may not be the best trick, but this is what I find helps. I hope this may help you too, and I wish you the best of luck.
Write a multiplication equation that represents the question: how many 3/8 are in 8?
Answers
Answer:
8
Step-by-step explanation:
\(\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8}\)
\(\frac{3}{8}\) × 8
= 3
In algebra:
\(\frac{3}{8}\) × y = 3
y = 3 ÷ \(\frac{3}{8}\)
y = 8
Which of the following tables represents a linear function? x −4 −1 0 1 2 y −4 2 −4 0 2 x 1 1 1 1 1 y −3 −2 −1 0 1 x −6 −1 0 2 3 y −7 negative sixteen thirds −5 negative thirteen thirds −4 x −2 −1 0 2 4 y −4 negative two thirds −1 two thirds 1 Question 5(Multiple Choice Worth 5 points) (Experimental Probability MC) A bag is filled with an equal number of red, yellow, green, blue, and purple socks. The theoretical probability of a child drawing 2 yellow socks from the bag with replacement is one fifth. If the experiment is repeated 175 times, what is a reasonable prediction of the number of times he will select 2 yellow socks? one fifth 10 25 35 Question 6(Multiple Choice Worth 5 points) (Identifying Functions LC) The graph represents a relation where x represents the independent variable and y represents the dependent variable. a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma negative 1, at 0 comma 2, at 1 comma 3, and at 5 comma 1 Is the relation a function? Explain. No, because for each input there is not exactly one output. No, because for each output there is not exactly one input. Yes, because for each input there is exactly one output. Yes, because for each output there is exactly one input. Question 7(Multiple Choice Worth 5 points) (Line of Fit MC) A movie theater wanted to determine the average rate that their diet soda is purchased. An employee gathered data on the amount of diet soda remaining in the machine, y, for several hours after the machine is filled, x. The following scatter plot and line of fit was created to display the data. scatter plot titled soda machine with the x axis labeled time in hours and the y axis labeled amount of diet soda in fluid ounces, with points at 1 comma 30, 1 comma 40, 2 comma 34, 3 comma 24, 3 comma 30, 4 comma 18, 5 comma 15, 5 comma 24, 6 comma 4, 6 comma 20, 7 comma 10, and 8 comma 0, with a line passing through the coordinates 3 comma 26.7 and 7 comma 7.66 Find the y-intercept of the line of fit an
Answers
The y-intercept of the line of fit is approximately 43.94 fluid ounces.
What is Probability ?
Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.
The answer is 35. If the theoretical probability of drawing two yellow socks is one fifth, then the experimental probability of drawing two yellow socks in one trial with replacement is also one fifth. Therefore, out of 175 trials, the number of times he will select two yellow socks can be predicted by multiplying the number of trials by the experimental probability: 175 * (1/5) = 35.
No, because for each input there is not exactly one output. The relation is not a function because for the input x = -5, there are two possible outputs: y = 1 and y = -1. Therefore, the relation violates the vertical line test, which requires that every vertical line intersects the graph at most once for the relation to be a function.
The y-intercept of the line of fit is approximately 43.94 fluid ounces. To find the y-intercept, we can look at the point where the line of fit intersects the y-axis (i.e., when x = 0). From the equation of the line of fit, we can see that the y-coordinate when x = 0 is approximately 43.94, which represents the initial amount of diet soda in the machine before it starts to be purchased.
Therefore, The y-intercept of the line of fit is approximately 43.94 fluid ounces.
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please help me with trigonometry
Answers
The length of the guy wire to the nearest foot would be = 10 ft.
How to calculate the length of the guy wire?The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.
The distance from the stake to the pole (opposite) =a = 5 ft
The distance from the pole to the tower (adjacent) =b= 9ft
The length of the guy wire= c = X
Using the Pythagorean formula:
c² = a² + b²
c² = 5² + 9²
c² = 25+81
c² = 106
C = √106
C= 10 ft ( to the nearest foot)
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Complete question:
A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.
Please help me as soon as possible.
How many times as great is the value of 1.5 than the value of 0.15? Please Explain.
Answers
Answer:
Step-by-step explanation:
1.5/0.15=10
1.5 is 10 times greater than 0.15
The solution is 10
The number of times the number 1.5 is greater than the number 0.15 is 10
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented A
Now , the value of A is
Let the first number be P = 1.5
Let the second number be Q = 0.15
Now , the number of times the number P is greater than Q is given by the equation
A = P / Q
Substituting the values in the equation , we get
A = 1.5 / 0.15
On simplifying the equation , we get
A = 10
Therefore , the value of A is 10
Hence , the number of times 1.5 is greater than 0.15 is 10 times
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A Sumer job pays $5 per hour
b. After working 24 hours, do you have enough money to buy an MP3
player that costs $100? Explain your reasoning.
Answers
Answer:
Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.
Step-by-step explanation:
hourly pay: $5/hour
number of hours: 24 hours
total pay = hourly pay × number of hours
total pay = $5/hour × 24 hours
total pay = $120
MP3 player costs $100.
Total pay is $120.
Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.
To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
What is the maximum time (in seconds) that she can take on her last lap and still make the team?
Answers
52s is the maximum time that she can take on her last lap and still make the team.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).
The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
We need to find the maximum time (in seconds) that she can take on her last lap and still make the team
Let x be the maximum time (in seconds) that she can take on her last lap
60=(63+62+65+58+x)/5
300=63+62+65+58+x
300=248+x
Subtract 248 on both sides
300-248=x
x=52s
Hence, 52s is the maximum time that she can take on her last lap and still make the team.
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х у
0 3
3 15
7 31
10 43
Which of the following linear equations corresponds to the table above?
A. y= 4x - 3
B. y= 1/4X-3
С. y= 1/4X+3
D. y = 4x +3
Answers
Answer:
d. y = 4x + 3
Step-by-step explanation:
A zoo has 15 toucans and 60 parrots. What is the ratio of the number of toucans to the number of parrots at the zoo? Simplify your ratio.
Answers
Answer:
1:4
Step-by-step explanation:
A ratio can be written like this: 15:60, but it can also be written as the fraction 15/60, which can be simplified to 1/4, or 1:4.
What is another way to write the equation 7/8 x 3/4= -6? (Look at picture! Pls hurry)
Answers
Answer:
Step-by-step explanation:
Well it doesn't help you very much, but the answer is A. What this does is separates 7/8 x so that (x/8) sits by itself. After you subtract 3/4 from both sides, you can divide both sides by 7. When you do that, you get x/8 = something, but the fractions are going to be awkward at best. I'll just do a very quick run through
7(x/8) = -6 - 3/4
7(x/8) = - 6.75 Divide by 7
x/8 = 0.9642 Multiply by 8
x = 8 * 0.9642
x = 7.7143
find the inverse of each equation
Answers
The inverse of the equation is determined as \(y = \log_{6}(-3x)\).
option D is the correct answer.
What is the inverse of the equation?The inverse of the equation is calculated by applying the following method;
The given equation;
y = - 6ˣ/3
The inverse of the equation is calculated as;
multiply through by 3
\(-3x = 6^y\)
Take the logarithm of both sides of the equation with base -6:
\(\log_{6}(-3x) = y\)
Finally, replace y with x to obtain the inverse equation as follows;
\(y = \log_{6}(-3x)\)
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The solution to 5x = 55 is
x = 11
x = 50
Answers
Answer:
x=11
Step-by-step explanation:
5x = 55
Divide each side by 5
5x/5 = 55/5
x = 11
Answer:
\( = > 5x = 55\)
\( = > x = \frac{55}{5} \)
\( = > x = 11\)
Solve the proportion.
4
y
=
7
?
y =
Answers
Answer:
y=28/5
Step-by-step explanation:
Okay so for this we can use cross- multiplication. Basically, the product of the numerator of the first number and the denominator of the second is equal to the product of the denominator of the first and the numerator of the second.
What I mean is: 4*7=5*y
so,
28=5y
y=28/5
Mikiyah invested $2,500 in a simple interest account for 2 years.At the end of the years she has earned $75 in interested.What was the simple interest rate of this account?
Answers
Answer:
1.5%
Step-by-step explanation:
wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwhat is 0/0
Answers
beti ate 1/8 of the cake.nati had 2 smaller pieces.she ate 2/16 of the cake.who ate more cake? what fraction of the cake left?
Answers
Answer:
Both ate the same amount of cake, there will be 6/8 or 3/4ths of the cake left.
Step-by-step explanation:
2/16 is equivalent to 1/8. Therefore they ate the same amount of cake.
Answer:
they ate the same amount 1/8 and 2/16 are the same thing.3/4
Step-by-step explanation:
they both ate 1/8 so 8/8-2/8=6/8=3/4 of the cake left
A shape that has exactly one pair of parallel sides is called a trapezoid. True or false
Answers
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation: