Answer:
If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt = 15 - 0.005A
Option C) dA/dt = 15 - 0.005A is the correction Answer
Step-by-step explanation:
Given the data in the question;
If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is?
dA/dt = rate in - rate out
first we determine the rate in and rate out;
rate in = 3pound/gallon × 5gallons/min = 15 pound/min
rate out = A pounds/1000gallons × 5gallons/min = 5Ag/1000pounds/min
= 0.005A pounds/min
so we substitute
dA/dt = rate in - rate out
dA/dt = 15 - 0.005A
Therefore, If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt = 15 - 0.005A
Option C) dA/dt = 15 - 0.005A is the correction Answer
2/5 kilogram of soil fills 1/3 of a countainer. Can 1 kiligram of soil fit in the container?
Answer:
Yes
Step-by-step explanation:
If 2/5kg fills one third, let's multiply 2/5kg by 3 to find out how much soil the conatainer can hold.
(2/5kg)(3) = 9/5kg = 1.8kg
1.8kg>1kg, so the answer is yes
The points (10, -8) and (9, g) fall on a line with a slope of -6. What is the value of g?
Answer:
-2
Step-by-step explanation:
if you add 6 to -8 you get -2. also if you go on desmos and do the slope, you get -2
Plz helppp. What is the y intercept of the line y=7x
A. b=7
B. m=0
C. b=0
D.m=7
The answer is the 3rd one:)
Answer:
the y intercept is b=0
Step-by-step explanation:
because the line is in y=mx+b form b is 0 here and b is the y incercept in a linear equation, therefore the y intercept is b=0.
I need to find cos^-1 (1/2)
Answer:
1.04719755 or π/3
Step-by-step explanation:
Hope this helps
HELP ANYONE HELP PLS
Answer:
a. 36ft
b. 20 inches
Step-by-step explanation:
Emily pays $24 to rent a boat at the lake for up to 6 hours. She constructs the inequality and number line below to represent the number of hours, x, she can use the boat.
Answer:
Emily's inequality x < 6 is correct because the number of hours is less than or equal to.
Emily's number line is incorrect The endpoint is filled in and the number line is greater than the endpoint.
Step-by-step explanation:
Emily's Model:
x < 6
<----|----|----|----|----|----⊕----|----|----|----|----|----|----|----|---->
1 2 3 4 5 6 7 8 9 10 11 12 13 14
What Emily's model should look like to make the number line true:
x < 6
<----|----|----|----|----|----О----|----|----|----|----|----|----|----|---->
1 2 3 4 5 6 7 8 9 10 11 12 13 14
Determine whether the relation represents a function. If it is a function, state the domain and range.
Answer: Yes it is a function
Step-by-step explanation:
Help me, please if you can
Answer:
VXW
Step-by-step explanation: Since the first one is the same model as the 2nd but with different letter and the order for the first one would be the same as the 2nd model.
The width of a rectangle is 23 yd. What is the perimeter of the rectangle if the length is 6 yd less than the width?
a. 40 yd
c. 391 yd
b. 104 yd
d. 80 yd
What is the value is x
X=
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The angle bisector divides the sides proportionally.
(2x +1)/12 = (x +4)/8
2(2x +1) = 3(x +4) . . . . . multiply by 24
4x +2 = 3x +12 . . . . . . . eliminate parentheses
x = 10 . . . . . . . . . . . . . . subtract 2+3x
Order of operations with integers
Calculate: 8-4(2+5²)/12
Answer:
Step-by-step explanation:
8-4(2+ (5)2) /12
8-4 (2+25)/12
8-4 (27)/12
4(27) /12
108/12
= 9
I need help with this math today
Answer:
120 + 10x
or
10(12 + x)
Step-by-step explanation:
6 of 8
Decrease £19064.67 by 19.5%
Give your answer rounded to 2 DP
G
£
Answer:
£15347.07
Step-by-step explanation:
Given data
Amount=£19064.67
% decrease=19.5%
let us find the value of 19.5%
=19.5/100*19064.67
=0.195*19064.67
=£3717.6
Hence the new Amount after the decrease is
=19064.67-3717.6
=£15347.07
If I add a -5 to both sides of an inequality, then the inequality symbol will change direction. True or False
Answer:
true
Step-by-step explanation:
Determine whether each pair of polygons is similar.
Answer:
yes
Step-by-step explanation:
pls answer, show work A jacket at a clothing store is being discounted by 10%. If the jacket was originally priced at x dollars, which of the following expressions does NOT represent the final price of the jacket before sales tax is added?
A.
x – 0.10x
B.
x(1 – 0.10)
C.
x – 1.10x
D.
0.90x
Answer:
C
Step-by-step explanation:
This is the only possible correct answer because the other three all show the final price as 0.90x, which is correct since the price is the normal one minus 10 percent. C is incorrect because it suggests the normal price has a 10% tax, or extra value on it.
George has a box of marbles. Each marble weighs the same amount. When George places 37 marbles on a scale, the total weight is 148 grams. Which equation
models the weight (in grams), w, of m marbles?
(A) W=0.25m
(B) W=0.75m
(C) W=4m
(D) W=4.5m
PLEASE ASAP!
Answer:
Take 148÷37. Which equals 4. The answer is C.
the product of (2h+5)2 what is the first , middle ,and last term
Answer:
Looks like a toy for the kids and the kids are doing well 6 I have been doing a lot of work on the graph of my own and my
10 x 5 / 2 x 4533432
DON'T USE CALCULATOR AND SHOW YOUR WORK OR NO BRIANLEST
Answer:
113335800
Step-by-step explanation:
solve it step by step
10 x 5/2 is 25
25 x 4533432= 113335800
Answer:
113335800
Step-by-step explanation:
10x5=50
2x4533432=9066864
9066864+50=113335800
A portable basketball hoop is on sale for 25% off the original price of $142. What is the sale price?
Carla is fundraising for her school. She buys t-shirts for $7.50 each and then she sells the t-shirts with a markup of 150%. What is the selling price of each t-shirt?
Dinner costs $22.50. Apply sales tax of 9.5%. Then add a 20% tip to the after tax bill. What is the final cost of dinner?
Find the interest earned on a $125 investment at a 7.5% simple interest rate for 6 months? Use the formula I = Prt
Find the total account balance for a $400 investment that earns a 6% simple interest rate over a 5 year period. Use the formula I = Prt.
Sweatshirts are on sale for 35% off the regular price, x. What expression can be used to find the sale price of a sweatshirt.
Answer in order.
A graphing calculator is recommended. A bacteria culture starts with 300 bacteria and doubles in size every half hour. (a) How many bacteria are there after 2 hours? bacteria (b) How many bacteria are there after t hours? y = bacteria (c) How many bacteria are there after 40 minutes? (Round your answer to the nearest whole number.)
Answer:
a) 4800 bacteria
b) [tex]y(t) = 300(4)^t[/tex]
c) 754 bacteria
Step-by-step explanation:
A bacteria culture starts with 300 bacteria and doubles in size every half hour.
This means that the number of bacteria after t periods of half hour is given by:
[tex]y(t) = 300*(2)^{t}[/tex]
(a) How many bacteria are there after 2 hours?
2 hours is 2*60/30 = 4 periods of 2 hours, so this is y(4).
[tex]y(4) = 300*(2)^{4} = 300*16 = 4800[/tex]
(b) How many bacteria are there after t hours?
It doubles every half hour, so each hour, it is multiplied by 4. Then
[tex]y(t) = 300(4)^t[/tex]
(c) How many bacteria are there after 40 minutes?
40 minutes is 40/30 = 1.33 periods of half hour. So this is y(1.33).
[tex]y(1.33) = 300*(2)^{1.33} = 754[/tex]
What does Q equal to
If (x + 1)(x - 3) = 12, then which of the following statements is true?
x+1=0 or X-3=0
X +1 = 12 or X - 3 = 12
OX-5 = 0 or x + 3 = 0
Answer:
x=−3 or x=5
Step-by-step explanation:
Find x and the indicated sides.
Find x. *
5 points
S
X -
4
14
V
* - 6
R
T
Your answer
This is a required question
Answer: Can’t solve without picture.
Step-by-step explanation:
You should add a picture or at least draw it. It can’t be solved without it because the sides need to correlate together.
A 2.5-kg bag of grass seed covers an area of 1200 m2. How much seed is needed to cover a square park with side length 500 m?
Answer:
520.83 k g of seed
Step-by-step explanation:
Answer:
A #2.5#-#kg# bag of grass seed covers an area of #1200# #m^2#. How much seed is needed to cover a square park with side length #500# #m#?
Step-by-step explanation:
1. Solve for x in the following problem.
Answer:
X=36
Step-by-step explanation:
can yoy please help solve yhis problem.2/5b+1=11
Answer:
(2/5)*b+1 = -11 // + 11
(2/5)*b+1+11 = 0
2/5*b+12 = 0 // - 12
2/5*b = -12 // : 2/5
b = -12/2/5
b = -30
b = -30
Step-by-step explanation:
hope this helped :)
Step-by-step explanation: First: Multiply 2/5 by 2. 5x2=10. 10 then turns into o a whole number +1=11.
10+1=11
How do I find the density? Harold is a woodworker and is interested in finding the density of two different types of wood. He bought a pine log that has a 5-inch radius and is 30 inches long. The weight of the log is approximately 42.63 pounds.
Answer:
The density of the pine log is 0.2842 pounds per inch.
Step-by-step explanation:
To calculate the density of an object, you must divide its mass by its volume (radius times height). Thus, given that the pine log that has a 5-inch radius and is 30 inches long, while its weight is approximately 42.63 pounds, the following calculation must be performed to determine its density:
X = 42.63 / (30 x 5)
X = 42.63 / 150
X = 0.2842
Thus, the density of the pine log is 0.2842 pounds per inch.
May someone please help me? The question is:
What type of triangle is DAE? Look at the image above.
Answer:
Right angle triangle
Step-by-step explanation:
PLEASE HELPP PLEASE HELP