Answer:
The rate of change is
6.2 × [tex]10^{-3}[/tex] [tex]ms^{-1}[/tex] = 0.37 [tex]\frac{m}{min}[/tex]
Answer ^ ^ ^ ^ ^ ^ ^
Explanation: it broke itself
What is the degree?
6−n
2
+5n
3
What is 4h when h=25?
Answer:
100
Step-by-step explanation:
When h has the value 25, the expression 4h has the value 4(25), or 100.
Answer:
100
Step-by-step explanation:
4(25)=100
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]
College Math! Calculus!!!
Answer:
[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]3[/tex]
Step-by-step explanation:
[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]\int _0^{\pi }\sin \left(x\right)dx+\int _{\pi }^{\frac{3\pi }{2}}-\sin \left(x\right)dx[/tex] = [tex]2+1[/tex] = [tex]3[/tex]
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]
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
The function f (x) varies directly with x and f (x) = 160 when x = 40.
What is f () when x = 8?
2
32
5
20
Answer:
it is 32.
I know this because it was in my last year syllabus
Please help with my hw I cannot figure this out
Answer:
K 1 k'1
J2 j'5
L,0 l'5
Step-by-step explanation:
Plz help 27 pt this is getting graded plz plz Plz
Answer:
517.2
Step-by-step explanation:
It has sides you're not seeing so don't forget those.
You need to find the area of the front, back, two sides, and bottom
Front & back:
6*5.2* 1/2
31.2/2 = 15.6 for each
Sides:
27*6 = 162 each
Bottom:
6*27 = 162
162+162+162+15.6+15.6= final answer
Answer: B
Step-by-step explanation:
First, you do 5.2 times 6 divided by two which is 15.6. Now you do 15.6 times two since there are two triangles and get 31.2. Now you do 27 times 6 times two and get 324 + 31.2 = 355.2. Lastly, you do 27 times 6 to get 162. 162+355.2 = 517.2
ANSWER ASAP WILL MARK BRAINLIEST
Answer: A
Step-by-step explanation:
The deli at the local grocery store sells chicken for $3.80 per pound, beef for $3.50 per pound, and salami for $2.90 per pound. Write an expression that shows how much it will cost to buy c pounds of chicken, b pounds of beef, and s pounds of salami.
Write an expression that shows how much it will cost to buy c pounds of chicken, b pounds of beef and s pounds of salami
Then, find the cost for 1 pound of chicken, 1.8 pounds of beef, and 3.2 pounds of salami.
The cost of 1 pound of chicken, 1.8 pounds of beef, and 3.2 pounds of salami is $_
Answer:3.8c+3.5b+2.9s=total cost 19.38$
Step-by-step explanation:
The supply function for a product is given by p = 40 + 100 underroot 2x + 9, where x is the number of units supplied and p is the price in dollars. If the price is increasing at a rate of $1 per month, at what rate is the supply changing when x = 20?
the supply changing when x=20 is 40
The window has the shape of a kite. How many square meters of glass were used to make the window?
Answer:
1568cm²
Step-by-step explanation:
28cm + 28cm = 56cm
35cm + 21cm = 56cm
56 × 56 = 3136cm²
3136cm² ÷ 2 = 1568cm²
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:
PLEASE HELP WITH THE PROBLEM ON THE ATTACHED FILE
Step-by-step explanation:
First u have to do the work of bracket and the solve
The graph of a linear equation is shown. y ОN HNWO -7-6-5-4-3-2-11+1234 5 6 7 -27 -3 가 Place values in the table to show three ordered pairs that are each part of the solution set of the linear equation. 2 P. y – 4 2 -6 -3 - 6
Answer:
n
Step-by-step explanation:
s
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:
Find the measure of the exterior angle.
Answer:
u = 143º
Step-by-step explanation:
Sum of angles in a triangle is 180
The unknown angle IN the triangle
x + 90 + 53 = 180
x + 143 = 180
x = 37º
x and u are supplementary angle which total 180
u + 37 = 180
u = 143º
Find the height of a rectangular pyramid with a length of 15.8 meters, a width of 9.2 meters, and a volume of 1235.56 cubic meters
What is the measurement of angle a
Find the area of a circle with a radius of 21 inches.
Answer:
A≈1385.44in²
Step-by-step explanation:
A=πr2=π·212≈1385.44236in²
Answer:
1384.74 inches.
Step-by-step explanation:
The formula for area of a circle is:
[tex]a=\pi *r^2(3.14*radius*radius)[/tex]
[tex]\pi =3.14, r=radius.[/tex]
According to the word problem, the radius of the circle is 21 inches.
Now, we can just plug the numbers into the formula.
[tex]\pi *21^2(3.14*21*21)=1384.74[/tex]
Therefore, the area of the circle is 1384.74 inches.
solve for x. label the sides adj, opp, and/or hyp based on the part you see. show work round to the nearest 10th
Answer:
[tex]x=37.4[/tex]
Step-by-step explanation:
In an right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse (a/h).
Therefore, we have the following equation:
[tex]\cos 68^{\circ}=\frac{14}{x},\\x=\frac{14}{\cos 68^{\circ}}\approx\boxed{37.4}[/tex]
what does proportion mean in algebra when dealing with graphs
out of 20 consecuative whole number two are chsen at random.then the probability that ther?
Answer:
2/20
Step-by-step explanation:
since,there are 20 whole number and if u put 2 random number the,
probability(P)=favorable outcome/possible outcome
so p=2/20
Thank You
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!
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.
I’ll mark brainlest
Answer:
2, 4
Step-by-step explanation:
Which elements present the whole? a. percentage b. base c. rate d. both a and b
1. Base presents the whole number
❤️#CARRYONLEARNING ❤️
line f has a slope of -3. what is the slope of the line that is parallel to line f
Answer:
A line parallel has the same slope, so -3
The slope of the line that is parallel to line f is -3.
The given line f has a slope of -3.
We need to find the slope of the line that is parallel to line f.
What are parallel lines slope?The slope of parallel lines. The slope of parallel lines is equal. The parallel lines are equally inclined with the positive x-axis and hence the slope of parallel lines is equal. If the slopes of two parallel lines are represented as [tex]m_{1}[/tex], [tex]m_{2}[/tex] then we have [tex]m_{1}=m_{2}[/tex].
So, the slope of the parallel line=-3
Therefore, the slope of the line that is parallel to line f is -3.
To learn more about the slope of parallel lines visit:
https://brainly.com/question/11265736.
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HELP ME PLWASE I WILL GIVE ALL POINTS.
What value of x makes this equation true?
0.6x + 7 = 0.1x -8
Answer:
-30
Step-by-step explanation:
0.6x+7=0.1x-8
0.6x-0.1x=-8-7
0.5x=-15
x=-15/0.5
x=-30