Answer:
The time it would take to fill up the truck is approximately 344 minutes
Step-by-step explanation:
The given parameters of the truck are;
The volume of the water truck, V = 1,200 gallon
The rate at which water flows from the hose. m = Constant rate
The volume of water in the truck after t₁ = 10 minutes is V₁ = 65 gallons
The volume of water in the truck after t₂ = 15 minutes is V₂ = 82 gallons
Therefore, the rate at which water flows from the hose to the truck, 'm', is given by the equation for the slope of a straight (constant variation) line, as follows;
[tex]m = \dfrac{V_2 - V_1}{t_2 - t_1}[/tex]
Therefore, we have;
[tex]m = \dfrac{82 \, gallons - 65 \, gallons}{15 \, minutes - 10 \, minutes} = 3.4 \, gallons/minute[/tex]
The point and slope form of the straight line equation relationship between the volume in the tank and the time of flow is given as follows;
V - 82 = 3.4 × (t - 15)
Therefore, the slope and intercept form of the equation is given as follows;
V = 3.4·t - 15 × 3.4 + 82 = 3.4·t + 31
∴ V = 3.4·t + 31
When the tank is filled, V = 1,200 gallons, therefore, we have;
1,200 = 3.4·t + 31
3.4·t = 1,200 - 31 = 1,169
t = 1,169/3.4 = 5845/17 = 343.[tex]\overline{8235294117647058}[/tex]
The time it would take to fill up the truck, t = 343.[tex]\overline{8235294117647058}[/tex] minutes ≈ 344 minutes.
Simplify the expression. Write your answer using only positive exponents.
p^-5
Answer:
1/p⁵
Step-by-step explanation:
Help asap! 20 pooints best answer for both questions
Answer:
Both of them would be D!
Step-by-step explanation:
Hope this helps, sorry if I am wrong.
Which of the following equations have only one solution? Select all correct answers.
x²-x-6=0
5 x2 + 20 x+ 20 = 0
9x2 - 25 = 0
4x2+4 x=0
12+ 6 x+9= 0
Answer:
The equations which have only one solution is: 5x²+20x+20=0,
Step-by-step explanation:
Answer:
5x^2 + 20x + 20 = 0
12+ 6x +9= 0
Step-by-step explanation:
5x^2 + 20x + 20 = 0 /5 12 + 6x + 9 = 0
x^2 + 4x + 4 = 0 6x = -9-12
(x+2)^2=0 6x = -21
x + 2 = 0 x = -21/6
x=-2 x = -3.5
That’s the picture can u help me now???
Answer:
A
Step-by-step explanation:
A space ship travels at 24 miles per hour and traveled for 28 hours.
Select the answer that represents how many miles the space ship traveled.
A 212
B 24
C 22
D 232
Answer:
2^4 = 16miles
2^8 = 256hrs
Step-by-step explanation:
16*256=4096
2^12=4096
so you answer is 2^12
Mr. Gray's quiz was normally distributed with a mean of 25 and a standard deviation of 10. Find z-scores for each of the following data values
a. 40
b. 27
c. 6
Answer:
a. 1.5
b. 0.2
c -1.9
Step-by-step explanation:
The computation of the z scores of each of the following data values are as follows:
As we know that
z = (data values - mean)÷ standard deviation
Now
a. The z value is
= (40 - 25) ÷ (10)
= 1.5
b. The z value is
= (27 - 25) ÷ 10
= 0.2
c. The z value is
= (6 - 25) ÷ 10
= -1.9
evaluate 6m + 1 for m = -2
13
-13
11
-11
-5
Answer:
m= −2 /7
Step-by-step explanation:
Let's solve your equation step-by-step.
6m+1m=−2
Step 1: Simplify both sides of the equation.
6m+1m=−2
6m+m=−2
(6m+m)=−2(Combine Like Terms)
7m=−2
7m=−2
Step 2: Divide both sides by 7.
7m /7 = −2 /7
I NEED HELPPP ON THIS PLZZZ
Answer:
Perimeter of ABCD = 56 units
Perimeter of WXYZ = 140 units
Step-by-step explanation:
To find the perimeter of ABCD, find the sum of all sides
18 + 18 + 10 + 10 = 56
To find the side lengths of WXYZ, use the equation: [tex]\frac{image}{pre-image}[/tex]
45/18 = 2.5
You can also cross multiply to find the missing side lengths, but I'll show you this other way...
Multiply the pre-image side lengths by 2.5
18 × 2.5 = 45
10 × 2.5 = 25
45 and 25 of the new side length of WXYZ
To find the perimeter of WXYZ, find the sum of all sides.
45 + 45 + 25 + 25 = 140
WX = 45, XY = 25, YZ = 45, ZW = 25
Can anyone help me?? I'll give anyone brainliest for correct answers...
Answer: A
Step-by-step explanation:
-120 is how many people leave a year so multiply that by the 3 years it’s been happening then it’s A, 360 left in the past 3 years
Find the output, y, when the input, x, is -9.
what is y=
Answer:
hello
the answer is 1
Answer:
1
Step-by-step explanation:
change the voice of do you repair cars
Lamar used 7/8 of a cup of raisins to make snacks mix. he used 3/4 of a cup of raisins to make cookies what expression could be used to determine the amount of raisins in cups Lamar used together
A: 7/8 + 3/8
B: 7/8 + 6/8
C: 7/12 + 3/12
D: 11/12 + 11/12
I NEED TO KNOW NOWW PLEASEEE!!!!
While shopping Marcy spent $59. If the amount she spent is 25% of her savings, how much savings did she have before she shopped
Answer:
Savings= $236
Step-by-step explanation:
Giving the following information:
Money spent= $59
Proportion of savings= 25% = 0.25
To calculate the total savings before shopping, we need to use the following formula:
Savings= money spent / proportion of savings
Savings= 59 / 0.25
Savings= $236
*ANSWER ASAP* how many times greater is 9 times 10^(5) than 8 times 10^(2)
please help I'm timed
Answer:
60 students-530 Question 1.
Step-by-step explanation:
GIVING BRAINLIEST
ABC is dilated by a factor of to produce A'B'C'.
What is AB, the length of AB after the dilation? What is the measure of <A?
Answer: The answer is A
Since we are dilating by 1/2 the image must get smaller. Now that we know that you can divide the side lengths by 2 (or multiply by 1/2) to get A'B' equals 17. Angles measures don't change during dilation because it only affects the side lengths, so angle A' is still 28 degrees
Hope this helped you!
Answer:
A
Step-by-step explanation:
yup
Help plz................ Easy.......
Step-by-step explanation:
120° because opposite angles of parm are equal
Factorise x to the power of 4n + x to the power of 2n + 1 completely where n is an odd integer.
Answer:
[tex]x^{3}x^{4m}(x^{4m+1} + 1)[/tex]---------------------------------------------
x⁴ⁿ + x²ⁿ⁺¹ = x²ⁿ⁺¹(x²ⁿ⁻¹ + 1)n is an odd integer, let n = 2m + 1
Then
2n - 1 = 2(2m + 1) - 1 = 4m + 2 - 1 = 4m + 12n + 1 = 2(2m + 1) + 1 = 4m + 2 + 1 = 4m + 3x²ⁿ⁺¹(x²ⁿ⁻¹ + 1) = [tex]x^{4m + 3}(x^{4m+1} + 1)[/tex] =[tex]x^{3}x^{4m}(x^{4m+1} + 1)[/tex]find the value of given expression
[tex] \sqrt{387 \times 387} [/tex]
Answer:
√{387×387}=√387²=387 is your answer
a right triangle has side lengths a, b, and c as shown below. Use these lengths to find tanx, sinx, and cosx.
Answer:
Tanx= b/c
Sinx=b/a
Coax=c/a
Step-by-step explanation:
1. What is the rule for the function table? *
Assignment: Wed : Finding Unit Rates (7.RP.1, 7. RP.2, 7.RP.2a
Problem ID: PRABDPF7
In
1
10
of an hour, Jane can clean
5
8
of a window.
What is her unit rate in windows per hour?
The Utah Middle School Math Project
The
Answer:
5
Step-by-step explanation:
. Jumbo bought 5 books, each with a whole-number price.
The mean price of the books was $10. The median price was $8.
The most expensive book cost $15 and the cheapest cost $6.
What are the possible prices for the other books?
Mean is average. Multiply total books by the mean to find the total cost:
5x 10 = $50 total.
Subtract the highest and lowest prices to find the total of the remaining 3 books.
50 - 15-6 = 29
The median price was 8, this is the middle number, subtract 8 from 29 to get the cost of the last 2 books:
29-8 =21
Now you need a price lower than the median but higher than the lowest cost so that has to be 7
Subtract 7 from 21 to get the cost of the last book 21-7 = 14
The price of the remaining books is $7 and $14
A car travelling at a constant speed travels 90km in 50 min .How far travelling at the same constant speed will the car travel in 2 hours and 25 minutes?
Answer:
261 km
Step-by-step explanation:
given,s=constant
d1/T1=d2/T2
d1=90km,t1=50 min
d2=? ,t2=(120+25)min
=145min
therefore,d2=(90×145)/50
=261 km
HEEEEEELPPPPPPPPPPPPPPPPPP PLSSSSSSSSSSSSSSSSSSSSS
Answer:
g(n) = 18 - 4n
Step-by-step explanation:
Given the recursive formula
g(n) = g(n - 1) - 4 with common difference d = - 4 and g(1) = 14
The explicit formula for an arithmetic sequence is
g(n) = g(1) + (n - 1)d , then
g(n) = 14 - 4(n - 1)
= 14 - 4n + 4
= 18 - 4n
GIVING BRAINIEST!
please please please help !
..........the answer is B
If a rectangle has an area of x^2+x-20 and a width of x-4, what is the length?
Answer:
This (x - 5) represents the length of the rectangle.
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is A = L * W.
Here, the width is x - 4 and the area is x^2 + x - 20. Dividing the width (x - 4) into the area results in an expression for the length:
x - 4 / x^2 + x - 20
Let's use synthetic division here. It's a little faster than long division.
If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:
4 / 1 1 -20
4 20
--------------------
1 5 0
This synthetic division results in a remainder of 0. This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor. From the coefficients 1 and 5 we can construct the other factor: (x - 5). This (x - 5) represents the length of the rectangle.
I WILL GIVE BRAINLIEST TO THE PERSON WHO ANSWERS THIS QUESTION CORRECT
How many years do you have to wait for an initial value of 30000 dollars to compound interest into one million dollars? (Interest rate: 3.5%)
It would take 100.42 year for you to reach 1 million dollars.
Identify the y coordinate for the solution to the system of equations. Solve the system using substitution.
y=2x-11
4x + 3y =-13
Answer:
(2,-7)
Step-by-step explanation:
Plug the first equation into the second equation.
4x+3(2x-11)=-13
4x+6x-33=-13
10x=20
x=2
Now, plug the value of x into one of the equations in order to find y.
y=2(2)-11
y=4-11
y=-7
peyton is going to invest  $310 and leave it in an account for 16 years assuming the interest is compounded quarterly what interest rate to the nearest hundredth of a percent would be required in order for peyton to end up with $530
Answer:
3.35
Step-by-step explanation:
Answer:
3.37
Step-by-step explanation:
