Answer:
192 liters
Step-by-step explanation:
Tank A
w = 100 + 80.5m
where:
w = water in litersm = time in minutesTherefore, when m = 4:
⇒ w = 100 + 80.5(4) = 422 liters
Tank B
Given ordered pairs: (0, 154) (2, 384) (6, 844)
[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{384-154}{2-0}=115[/tex]
Point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
[tex]\sf \implies y-154=115(x-0)[/tex]
[tex]\sf \implies y=115x+154[/tex]
Therefore, the equation for Tank B is:
w = 115m + 154
Therefore, when m = 4:
⇒ w = 115(4) + 154 = 614 liters
Difference
614 - 422 = 192 liters
Find equation for tank B
(0,154)(2,384)Slope:-
m=384-154/2=230/2=115Equation in point slope form
w-154=115(m)w=115m+154For tank B
w=100+80.5mPut 4on both
Tank A:-
w=100+80.5(4)w=100+322w=422LTankB
w=115(4)+154w=460+154w=614LDifference:-
614-422192LGiven the function f(x) = 2x2 - 27, find f(h +2).
Answer:
f(h + 2) = 2h² +8h - 19
Step-by-step explanation:
f(x) = 2x² - 27
f(h + 2) = 2(h + 2)² - 27
f(h + 2) = 2(h²+4h+4) - 27
f(h + 2) = 2h² + 8h + 8 - 27
f(h + 2) = 2h² +8h - 19
I hope this helps!
What is the volume of this figure? Enter your answer in the box.b
Answer:
2800 ft³
Step-by-step explanation:
The required volume of given figure is 2800 ft³
I hope it helped you
The vertex -x^2 - 2x + 8
General form of a quadratic equation: [tex]ax^2+bx+c[/tex]
⇒ since the equation: [tex]-x^2-2x+8[/tex]
⇒ so:
a = -1b = -2c = 8To calculate the x-coordinate of the vertex
⇒use x = [tex]-\frac{b}{2a}[/tex] <--- this is a property that helps you find the vertex of the
quadratic
x = [tex]-\frac{(-2)}{2*(-1)} =-1[/tex]
Since x = -1:
⇒ we can plug in this x-value into the original equation to find the y-
value
[tex]y =-(-1)^2-2(-1)+8=-1+2+8=9[/tex]
So the coordinate of the vertex: (-1,9)
Hope that helps!
Select all ratios equivalent to 7:2.
14:4
28:8
9:1
Answer:
Step-by-step explanation:
If you multiply top and bottom of 7/2 by 2 as in (7 *2) / (2 * 2) = 14 /4
If you multiply 7/2 top and bottom by 4, you get 28/8
So 14/4 and 28/8 are both the same as 7/2
someone pls help me i will give brainliest to the first to answer
Answer:
21 and 35
Step-by-step explanation:
21 for the first box, when it is in parenthesis you multiply each, so then 35 for the second box
7 times 3 then 7 times 5
For Halloween, Gwen received 4*10 pounds of candy in the first hour and another 43/5 pounds the second hour. How much
candy did she get total?
Answer:
4*10 = 40
43/5 = 8.6
40 + 8.6 = 48.6 candy in total.
given the following cofunction sin(x - 3)° = cos(2x + 6)°, what is the measure of the smaller angle
Note :
sin(x) = cos (90-x)
Therefore,
sin(x-3) = cos(90-(x-3))
90-[x-3] = 2x+6
90-x+3 = 2x+6
3x = 93-6
x = 31-2
x = 29°
What is the following product?
30 10
O 2010
O 3 V10
4./10
o 10/3
What is the following product?
Square root 30 and square root 10
Answer:
10 sqrt 3
Step-by-step explanation:
sqrt (30) * sqrt (10) = sqrt (300) = sqrt ( 4 * 25 * 3) = 10 sqrt 3
Find the particular solution of the differential equation that satisfies the initial condition f'(x) 4x, f(0) = 5 f(x) =
Answer: [tex]f(x)=2x^2+5[/tex]
Step-by-step explanation:
First integrate f'(x) so we can find the funtion f(x):
[tex]4\int\limits {x} \, dx =4[\frac{1}{2} x^2]=2x^2+C=f(x)[/tex]
The initial conditions say that when x = 0, the function equals 5. Let's write that down:
[tex]f(0)=5=2(0^2)+C=C[/tex]
Therefore, the integration constant 'C' must equal 5. This means that our function is:
[tex]f(x)=2x^2+5[/tex]
1=5-4+3-2-1 pls help me i need to turn this and
Answer:
The answer would be true
Step-by-step explanation:
[tex]1=5-4+3-2-1[/tex]
[tex]1=1+1-1[/tex]
[tex]1=2-1[/tex]
[tex]1=1[/tex]
what is the least common denominater of 1/2, 2/3, and 3/8?
Answer:
24
Step-by-step explanation:
2×12 =24
3×8 =24
8×3 =24
Rachel was pouring milk into an 8-inch-tall cylindrical container. She used the formula
V = #r?h to calculate the cylinder's volume which Rachel found to be 231 cubic inches of liquid.
What would be the most accurate measurement for the radius of the container of milk?
O 3 inches
O 5 inches
O 9 inches
O 10 inches
The volume of the cylinder container is the amount of milk in it
The most accurate measurement for the radius is 3 inches
How to determine the accurate radius?The given parameters are:
Volume = 231Height = 8 inchThe volume of a cylinder is:
V = πr²h
So, we have:
πr² * 8 = 231
Divide both sides by 8π
r² = 9.19
Take the square root of both sides
r = 3.03
Approximate
r = 3
Hence, the most accurate measurement for the radius is 3 inches
Read more about volume at:
https://brainly.com/question/1972490
56783÷100=
please give answer pl
help plsssssssssssssssssssssssssssssssss
Answer:
I guess it is $105.Not so sure about my answer...
Ryan is working on his first budget. He has placed all of the fixed expenses on the budget shown and then would like to use the information to evaluate his variable expenses. Ryan's take-home pay is 2,500 each month. Complete the table below the answer the questions below.
please help me
complete the table and answer the four questions below if you tell me how to do I'll be happy to mark you brainlest!!!
1) what percent of his monthly budget do his transport costs account for?
2) what percent of his monthly budget has he accounted for?
3) Ryan would like to save 10% of his take-home pay towards retirement. How much would he be able to save each month?
4) Assume that Ryan does save 10% for retirement. If he allocates the remainder of his take-home pay to entertainment compromise of the total monthly budget? How much will be budgeted towards entertainment?
The percent of his monthly budget that his transport costs account for will be 17.8%.
How to calculate the percentage?The percent of his monthly budget that his transport costs account for will be:
= 325/(800 + 450 + 125 + 325 + 125) × 100
= 325/1825 × 100
= 17.8%
The percent of his monthly budget has he accounted for will be:
= 1825/2500 × 100
= 73%
When he saves 10% of his take-home pay towards retirement, the amount saved will be:
= 10% × $2500
= $250
Learn more about percentages on:
https://brainly.com/question/24304697
The percent of Rayan's monthly budget that his transport costs account for will be 17.8%.
1. The proportion of his monthly budget that his transit expenses make up is:
= 325/(800 + 450 + 125 + 325 + 125) × 100
= 325/1825 × 100
= 17.8%
The proportion of his monthly budget that he has already accounted for is:
= 1825/2500 × 100
= 73%
He will save the following sum for retirement if he sets aside 10% of his after-tax income:
= 10% × $2500
= $250
The answer is $250.
2. To find the percentage of his monthly budget accounted for by transport costs, we add up the amounts for Car Payment and Gas:
$325 + $125 = $450.
Then we calculate the percentage: (450 / 2500) x 100% = 18%. Therefore, his transport costs account for 18% of his monthly budget.
3. To find the percentage of his monthly budget accounted for overall, we sum up all the amounts in the table:
$800 + $450 + $125 + $325 + $125 = $1,825.
Then we calculate the percentage: (1825 / 2500) x 100% = 73%. Therefore, he has accounted for 73% of his monthly budget.
4. To calculate how much Ryan can save each month for retirement, we take 10% of his take-home pay:
10% of $2,500 = $250.
Thus, he can save $250 each month for retirement.
For more details regarding budget, visit:
https://brainly.com/question/31952035
#SPJ6
What is the equation of the circle?
Step-by-step explanation:
The equation of a circle is
[tex](x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]
Where (h,k) is the center and
r is the radius.
Here the center is (-9,10).
To find the radius, find the distance from the center to a point on the circle.
So find the distance between (-9,10) and (-9,7).
[tex]r = \sqrt{(( - 9 - ( - 9) {}^{2} + (10 - 7) {}^{2} } [/tex]
[tex]r = \sqrt{0 + 9} [/tex]
[tex]r = \sqrt{9} [/tex]
[tex]r = 3[/tex]
So the radius is 3 so we plug in
[tex](x - ( - 9) {}^{2} + (y - 10) {}^{2} = {3}^{2} [/tex]
[tex](x + 9) {}^{2} + (y - 10) {}^{2} = 9[/tex]
Answer:
○ [tex]\displaystyle (x + 9)^2 + (y - 10)^2 = 9[/tex]
Explanation:
Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared.
I am joyous to assist you at any time.
4/8 - 3/10 pa answer ulii
Answer:
1/5
Step-by-step explanation:
4/8-3/10=1/5
Easy math pls help quick will give brainlest
Answer:Easy math pls help quick will give brainlest
Easy math pls help quick will give brainlest
Easy math pls help quick will give brainlestStep-by-step explanation:
is your correct answer
NO LINKS!! Please help me with this problem
#GH
[tex]\\ \rm\Rrightarrow \dfrac{GH}{FG}=\dfrac{TS}{TU}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{GH}{36}=\dfrac{42}{28}=\dfrac{3}{2}[/tex]
[tex]\\ \rm\Rrightarrow GH=108/2=54[/tex]
#UV
[tex]\\ \rm\Rrightarrow \dfrac{UV}{TU}=\dfrac{JF}{FG}[/tex]
[tex]\\ \rm\Rrightarrow\dfrac{ UV}{28}=\dfrac{63}{36}=\dfrac{21}{12}=\dfrac{7}{4}[/tex]
[tex]\\ \rm\Rrightarrow UV=7(28)/4=7(7)=49[/tex]
#VW
[tex]\\ \rm\Rrightarrow \dfrac{VW}{SW}=\dfrac{IJ}{IH}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{VW}{35}=\dfrac{27}{45}=\dfrac{3}{5}[/tex]
[tex]\\ \rm\Rrightarrow VW=3(35)/5=3(7)=21[/tex]
FGHIJ ≅ UTSWV
making proportional equations
GH/FG = TS/UTGH/36 = 42/28GH = 54FJ/FG = UV/UT63/36 = UV/28UV = 49IJ/FG = VW/UT27/36 = VW/28VW = 21What is the five-number summary of this data set?
{403, 276, 649, 786, 274, 189, 654, 652, 572}
Drag the numbers into the boxes to correctly complete the five-number summary.
Minimum
Q1
Q2
Q3
Maximum
(choices)
189 274 275 276 572 652 653 654 786
Answer:
Minimum: 189
Q1: 275
Q2: 572
Q3: 653
Maximum: 786
Step-by-step explanation:
I took the test, I got it wrong but I looked back at the answer I hope this helped. And I am sorry this is late.
Answer:
Minimum: 189
Q1: 275
Q2: 572
Q3: 653
Maximum: 786
Step-by-step explanation:
I took the test, I got it wrong but I looked back at the answer I hope this helped. And I am sorry this is
C
7
24
What is the measure of C
Which expression equals a number that is NOT a rational number?
Please help asap
what numbers multiplied gives you -70 but added gives you -33
Answer:
-35, 2
Step-by-step explanation:
When you multiply -35*2 you will get -70
When you add a positive number to a negative number you will take the larger number and if it is negative you will add the positive and if it is positive you take away negative so -35+2 will be -33
Find the surface area
Answer:
Area of a sphere
Radius
15 m
Diameter
30 m
Volume
14,137 m³
Surface to volume ratio
0.2 1/m
Surface area
2,827.4 m²
Step-by-step explanation:
write an expression for ''the number of pieces
in three pack of mint gum.
Answer:
yellow blue green gray black white
Which statement is true?
• A.
A sample statistic can never be equal to the population parameter.
O B. Point estimates are defined for both samples and populations.
O C.
To calculate a sample proportion, we
need to know the population size
O D.
To calculate a point estimate, we
need to know the sample size.
To calculate a point estimate, we need to know the sample size.
===========================================================
Explanation:
Let's go through the answer choices.
A) False. A sample statistic could equal to the population parameter. It won't always happen, but it might happen sometimes (in rare cases). B) False. Point estimates are only defined for populations. They estimate a population parameter. For example, the sample mean xbar is a point estimate of the population mean (mu).C) False. In practice, we will hardly know anything about the population. This includes the population size. The goal of statistics is to measure population parameters by using sample statistics as estimation methods.D) True. We can easily calculate the sample size because it is relatively much smaller compared to the population. Plus, when selecting the sample, the sample size is often pre-determined to some set number. The sample size will help us determine things like the sample mean and the sample proportion.Find the value of X.
Answer: 23
Step-by-step explanation:
A point with a coordianates plane (-c -d) is shown on the coordinate grid
Ans The answer to the question is ###404 bad gateway Step-by-step explanation:
Write Down 3 numbers where the following are true:the total of the three numbers is 20.The product of the three numbers is 90
Answer:
1, 9 and 10.
Step-by-step explanation:
Let the 3 numbers be x, y and z, then
x + y + z = 20
xyz = 90
Assuming the numbers are whole numbers lets find the prime factors of 90:
90 = 2*3*3*5
So we need to combine these factors to fit the 2 eqautions.
Now 90 = 9 * 10
= 1 * 9 * 10
If we include 1 as one of the 3 numbers then 1, 9 and 10 will fit the bill.
Answer 1, 9 and 10
The math club needs to raise at least $552.50 for a trip to state
competition. The club has raised 12% of the funds. Members want
to find out how much they each need to raise to make up the
difference.
Which inequality shows how much money each of the 7
club members need to raise if each member raises the same
amount?
A. m < $69.46
B. m > $69.46
C. m < $72.35
D. m > $72.35
ok so they raised 12%
12%=12/100=0.12
12% of 552.5=.12 times 552.5=66.3 was raised
552.5-66.3=486.2
divide by 7
486.2/7=69.457 about 69.46
each member must raise at least 69.46