PLS HELP!! need the answer asap
Answer:
8
Step-by-step explanation:
[tex]\angle RPS = 3x + 12,\ \angle QPR = 7x + 88\ =>\ \angle QPS = 3x + 12 + 7x + 88 = 180[/tex]
[tex]3x + 12 + 7x + 88 = 180[/tex]
[tex]10x + 100 = 180[/tex]
[tex]10x = 80[/tex]
[tex]x = 8[/tex]
A large tank is filled to capacity with 700 gallons of pure water. Brine containing 4 pounds of salt per gallon is pumped into the tank at a rate of 7 gal/min. The well-mixed solution is pumped out at a rate of 14 gallons/min. Find the number A(t) of pounds of salt in the tank at time t.
Answer:
[tex]A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]
Step-by-step explanation:
The net mass flow rate dA/dt = mass flow rate in - mass flow rate out
mass flow rate in = concentration of brine in × brine flow rate in = 4 lb/gal × 7 gal/min = 28 lb/min
Let A(t) be the amount of salt at time t. The concentration of salt in the tank at time, thus C = amount of salt/volume of tank = A(t)/700 lb/gal.
Since the well mixed solution is pumped out at a rate of 14 gal/min, the mass flow rate out = concentration of salt in tank × volume flow rate out = A(t)/700 lb/gal × 14 gal/min = m(t)/50 lb/min
So, dA/dt = mass flow rate in - mass flow rate out
dA/dt = 28 lb/min - A(t)/50 lb/min
dA/dt = 28 - A(t)/50
dA/dt = [1400 - A(t)]/50
separating the variables, we have
dA/[1400 - A(t)] = dt/50
integrating both sides, we have
∫dA/[1400 - A(t)] = ∫dt/50
-1/-1 × ∫dA/[1400 - A(t)] = ∫dt/50
1/-1 × ∫-dA/[1400 - A(t)] = ∫dt/50
-1 × ㏑[1400 - A(t)] = t/50 + C
-㏑[1400 - A(t)] = t/50 + C
㏑[1400 - A(t)] = -t/50 - C
taking exponents of both sides, we have
[tex]1400 - A(t) = e^{\frac{-t}{50} - C} \\1400 - A(t) = e^{\frac{-t}{50}}e^{-C}\\1400 - A(t) = Be^{\frac{-t}{50}} ( B = e^{-C}) \\A(t) = 1400 - Be^{\frac{-t}{50}}[/tex]
when t = 0, A(0) = 0. So,
[tex]A(t) = 1400 - Be^{\frac{-t}{50}}\\A(0) = 1400 - Be^{\frac{-0}{50}}\\0 = 1400 - Be^{0}\\0 = 1400 - B\\B = 1400[/tex]
So,
[tex]A(t) = 1400 - 1400e^{\frac{-t}{50}}\\A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]
Use Green's Theorem to evaluate the line integral along the given positively oriented curve. C yex dx 2ex dy, C is the rectangle with vertices (0, 0), (3, 0), (3, 2), and (0, 2)
Answer:
2 ( e^3 + 1 )
Step-by-step explanation:
The path of the attached Rectangle is anti-clockwise
and the Integrand: P( x, y ) dx + q ( x , y ) dy
P( x, y ) = ye^x
q ( x , y ) = 2ex
hence : dq/dx - dp/dy = 2e^x - e^x = e^x
attached below is the remaining solution
using Green's theorem
please help me asap!!
Answer:
<
Step-by-step explanation:
-2 2/5 is smaller than -9/10.
If we put them both in 10ths, it would be -24/10 vs -9/10
Three friends went to a fundraiser at a local restaurant. Each plate cost $7.95, which included a drink. A tip of 20% was left for the waitress. How much was the total cost of the meals including tip?
A.$23.85
B. $24.05
C. $28.62
D. $29.65
Answer:
C. $28.62
Step-by-step explanation:
3 · $7.95 = $23.85
[tex]\frac{y}{23.85} :\frac{20}{100}[/tex]
y · 100 = 20 · 23.85
100y = 477
100y ÷ 100 = 477 ÷ 100
y = $4.77
$23.85 + $4.77
$28.62
15 in.
8 in
8 in.
6. Erica wants to build the birdhouse shown. She bought a 30-inch by 44-inch sheet of plywood.
Does Erica have enough wood to make the birdhouse? Explain.
Find the area of the base and the sides.
What is the volume in cubic cm for a rectangular prism with length 10 cm, width 4 cm and height 10 cm?
F 400
G 40
H 24
J 100
Answer: 400
Step-by-step explanation: L x W x H
10 x 4
40 x 10
400
Can you mark brainliest if this is right?
1 + 1 = ??
pls help
~~SHOW YOUR WORK~~
Answer:
2
Step-by-step explanation:
1+1=2
the answer actually 2
Answer:
1+1 is equiavalent to the number two.
Step-by-step explanation:
You have one apple, you also have another apple, those apples make two apples. You are welcome.
I really really need help guys!
Answer:
area of the figure=1/2×16×7
=56 m²
Find the measure of each angle indicated
Step-by-step explanation:
90+115+65=270
360-270=90
Answer:
U=90°
the graph of a function is shown below
Answer:
B. In Section P, the function is linear and increasing.
Step-by-step explanation:
Answer:
B. In Section P, the function is linear and increasing.
A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the pie eating contest or the chili
cookoff. If all 20 students joined the same event, how would the shape of the histogram change compared to the original?
A. The Chili Cook-off would be more skewed.
B. The Pie Eating Contest would be more skewed
C. The Chili Cook-off would be more symmetrical.
D. The Pie Eating Contest would be less symmetrical.
Answer:
I am doing this question right now once I submit I will come back and tell you
Step-by-step explanation:
If all 20 students joined the same event, the shape of the histogram will change as compared to the original. A.) The Chili Cook-off would be more skewed and D.) The Pie Eating Contest would be less symmetrical.
What is a skewed histogram?If most of the data are on the left side of the histogram but a few larger values are on the right, the data are said to be skewed to the right.If most of the data are on the right, with a few smaller values showing up on the left side of the histogram, the data are skewed to the left.If 20 students get added to the 0-19 age group in Chili Cookoff contest, the frequencies of the number of students would be 50, 50, 40, 10. Since, the frequencies are decreasing with increasing age group, the histogram is skewed.
What is symmetric histogram?
If the data are symmetric, histogram have about the same shape on either side of the middle. In other words, if you fold the histogram in half, it looks about the same on both sides.
If we add 20 to the 0-19 age group in Pie eating contest, the frequencies of the number of students would be 40, 40, 60, 50. Since the frequencies are monotonically increasing and then decreasing, the histogram is symmetrical but it doesn't look exactly same on either side.
Learn more about symmetric and skewed histogram here
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3. In a game of Twister, 50.24 cm2 of yellow paint is needed for one of the circles. What is the length of the diameter of the circle?
Answer:
4cm I hope this helps
Step-by-step explanation:
What is the measurement of angle a
One plumber charges a flat fee of $50 to come to the house and then
$20 per hour. If h represents the number of hours that the plumber spent
fixing the problem and C represents the total charge, which of the following
equations shows how to determine the total fee charged?
C=50+20h
C=(50+20)h
C=h+50+20
C=20+50h
Answer:
C=50+20h
Step-by-step explanation:
Since 20 is going to be added every hour, that is the h value. Since 50 is the the initial payment, that is the other value
The equation for total fees charged, if One plumber charges a flat fee of $50, The per hour fees = $20, is C = 50 + 20h, so option A is correct.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions. Equation: A declaration that two expressions with variables or integers are equal.
Given:
One plumber charges a flat fee of $50,
The per hour fees = $20,
Write the equation for the total charged fees as shown below,
Total charge = One-time fees + per-hour fees × number of hours
Assume C represents the total charge, h represents the number of hours, then,
C = 50 + 20 × h
C = 50 + 20h
To know more about equation:
https://brainly.com/question/12788590
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© Write a Pythagorean triplet
whose
one member is 50
Answer:
Thus the required Pythagorean triplet is 14,48,50. ∴ The required Pythagorean triplet is 16,63,65.
Step-by-step explanation:
A study of color in tiger beetles is conducted to gain evidence to support the contention that the proportion of yellow beetles may vary from locality to locality. A sample of 500 beetles caught in one season near East Setuket, NY, yielded 92 yellow ones. A catch of 251 from Queens, NY, contained 14 yellow individuals. What distribution can be used to derive the exact sampling distribution for proportion of yellow tiger beetles
Answer:
Binomial distribution
Step-by-step explanation:
Each tiger:
For each tiger, there are only two possible possible outcomes. Either it is yellow, or it is not. The probability of a tiger being yellow is independent of any other tiger. This means that the binomial probability distribution is used to solve this question.
Find the measure of the angles
Step-by-step explanation:
Make sure the bottom line of the angle points to 0. Then slowly go up until the other line hits a number. In this case, it's 40 degrees
Which of the following graphs represents this inequality?
15\le7n-2\left(n-10\right)<3515≤7n−2(n−10)<35
Answer:
Step-by-step explanation:
Find the value of y -6y2, when y = 1/3
Answer:
21/9 or 2 1/3
Step-by-step explanation:
1/3 - 6(1/9) =
1/3 - 6/9 =
27/9 - 6/9 = 21/9
HELP HELP HELP HELP PLZZZZZZZ
Answer:
Step-by-step explanation:
So, lets just go by segment to segment, using the process of elimination to see which graph is correct.
So the first segment of all the graphs is 18-19.9.
Lets look at the numbers given to us, and see how many times values between these two numbers occur. I see 19.9 and 18.6. This is two values.
This eliminates answer C, which has three values(a frequency of 3).
All the others have 2 values however, so lets keep going.
Next we have 20-21.9. I see 9 values that are in between 20-21.9:
20.7, 21.2, 20.5, 20.4, 21.6, 21.4, 21.5, 21.5, 21.9
Both B and D have graphs with 9 values that are between 2-21.9, however A only has 8 values.
Now lets look at 22-23.9. I see 8 values between 22-23.9:
22.2, 22.7, 22.1, 23.1, 23.8, 22.6, 23.9, 23.4
This eliminates D, which only has 7 values, but B does have 8 values.
So this means that B is the answer!
Hope this helps!
I need the answer. Please help.
Answer:
300°
Step-by-step explanation:
To convert from radians to degrees
degree = radian × [tex]\frac{180}{\pi }[/tex] , then
degree = [tex]\frac{5\pi }{3}[/tex] × [tex]\frac{180}{\pi }[/tex] ( cancel π on numerator/ denominator )
= [tex]\frac{5(180)}{3}[/tex]
= 5 × 60°
= 300°
ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????
Answer:
rotation
Step-by-step explanation:
in the figure below, two lines intersect, forming four angles. Write your answer in the space provided.
a =
b=
C=
Answer:
Step-by-step explanation:
Angle A and 50 will combined have an angle of 180
Angle A = 180-50
Angle C is opposite of angle A and both will be equal. Same with Angle B and it's opposing Angle.
You got this!
Need some help with these questions ASAP please
Algebra 1 math please help
Answer:
c
Step-by-step explanation:
f( - 1) with x < 1 , then
f(- 1) = [tex]\sqrt{-(-1)}[/tex] = [tex]\sqrt{1}[/tex] = 1
f(1) with x ≥ 1 , then
f(1) = x + 1 = 1 + 1 = 2
Thus
f(- 1) + f(1) = 1 + 2 = 3 → c
What is the name for the total area of the surface of a solid?prism area net area surface area facial area
Answer:
Surface Area
Step-by-step explanation:
You are calculating the measurements for the surface of the prism. The interior is volume.
Answer:
Surface Area
Step-by-step explanation:
Coach Dom took the football team out for pizza. He bought 6 pies at $6.35 each. He left a 18 % tip. How much did Coach Dom spend in all?
Answer: $44.96
Step-by-step explanation:
6 × 6.35 = 38.1
38.1 × .18 = 6.86
38.1 + 6.86 = 44.96
Pls help will give BRAINLIEST
Answer:
The first option
Step-by-step explanation:
Order of operations says that you raise everything in the parentheses to the third power as the 1st step.
2m^5^3 = 8m^5*3 = 8m^15
n^4^3 = n^4*3 = n^12
They are multiplied in the original equation, so multiply those and you get 8m^15n^12
In the equation »+2, 2y2-y+3
y-2
the value of a is:
y+1' 32-1
y-1
02
01
04
Answer:
jajaja que no te he buscado en mi hija pero si