Answer:constant is 2/33
Step-by-step explanation:
1 min to fill 16.50 gallons
Time(t) varies directly as volume(v)
t α v
t =k x v Where k is constant
1=k x 16.50
k=1/16.50
k=2/33
Constant is 2/33
here you go another one lol
Answer:
40
Step-by-step explanation:
50+40=90
Answer:
2
Step-by-step explanation:
50+40=90
90=complementary angles total
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answer:
B
Step-by-step explanation: it is a quadratic equation it can only have two intercepts
Two tanks are interconnected. Tank A contains 60 grams of salt in 50 liters of water, and Tank B contains 80 grams of salt in 40 liters of water.
A solution of 2 gram/L flows into Tank A at a rate of 5 L/min, while a solution of 3 grams/L flows into Tank B at a rate of 7 L/min. The tanks are well mixed.
The tanks are connected, so 8 L/min flows from Tank A to Tank B, while 3 L/min flows from Tank B to Tank A. An additional 12 L/min drains from Tank B.
Letting x represent the grams of salt in Tank A, and y represent the grams of salt in Tank B, set up the system of differential equations for these two tanks.
Let a(t) and b(t) denote the amounts of salt in tanks A and B, respectively.
The volume of liquid in tanks A and B after t minutes are
A: 50 L + (5 L/min + 3 L/min - 8 L/min)t = 50 L
B: 40 L + (7 L/min + 8 L/min - 3 L/min - 12 L/min)t = 40 L
so the amount of solution in the tanks stays constant.
Salt flows into tank A at a rate of
(2 g/L)*(5 L/min) + (b(t)/40 g/L)*(3 L/min) = (10 + 3/40 b(t)) g/min
and out at a rate of
(a(t)/50 g/L)*(8 L/min) = 4/25 a(t) g/min
so the net flow rate is given by the differential equation
[tex]\dfrac{\mathrm da(t)}{\mathrm dt}=10+\dfrac{3b(t)}{40}-\dfrac{4a(t)}{25}[/tex]
We do the same for tank B: salt flows in at a rate of
(3 g/L)*(7 L/min) + (a(t)/50 g/L)*(8 L/min) = (21 + 4/25 a(t)) g/min
and out at a rate of
(b(t)/40 g/L)*(3 L/min + 12 L/min) = 3/8 b(t) g/min
and hence with a net rate of
[tex]\dfrac{\mathrm db(t)}{\mathrm dt}=21+\dfrac{4a(t)}{25}-\dfrac{3b(t)}8[/tex]
Replace a(t) and b(t) with x and y. Then the system is (in matrix form)
[tex]\dfrac{\mathrm d}{\mathrm dt}\begin{bmatrix}x\\y\end{bmatrix}=\dfrac1{200}\begin{bmatrix}-32&15\\32&-75\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}+\begin{bmatrix}10\\21\end{bmatrix}[/tex]
with initial conditions x(0) = 60 g and y(0) = 80 g.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for fraction bar(s)
f(x) {____if -1_< x _<1
____if 3_< x _<5
Answer: f(x) = 4 if -1 ≤x ≤ 1
f(x) = x - 1 if 3≤ x ≤ 5
Step-by-step explanation:
if -1 ≤x ≤ 1
We can see that in this range the function is constant, f(x) = 4
if 3≤ x ≤ 5
In this region we can see a linear relationship, with the points (3, 2) and (5, 4)
as the extremes, we can find the slope of this linear equation as:
s = (4 - 2)/(5 - 3) = 2/2 = 1
So our equation is
f(x) = 1*x + b
to find the value of b we can evaluate our function in the first point, we know that when x = 3, y = 2, so we have:
2 = 1*3 + b
b = 2- 3 = -1
then f(x) = 1*x - 1
Then we have:
f(x) = 4 if -1 ≤x ≤ 1
f(x) = x - 1 if 3≤ x ≤ 5
when multiplying two negative intergers what is the sign of the product
Answer:
A Positive
Step-by-step explanation:
Two negatives cancel out and make a positive.
For example: -5 x -6 = 30
Solve this equation. 2 - k = 22
Answer
20 ?
Step-by-step explanation:
Answer: [tex]k=-20[/tex]
Move all terms to the left
[tex]2-k-(22)=0[/tex]
Add all the numbers together, and all the variables
[tex]-1k-20=0[/tex]
Move all terms containing k to the left, all other terms to the right
[tex]-k=20\\k=20/-1\\k=-20[/tex]
Solve for c.
6c + 14 = -5c + 4 + 9c
Answer:
C equal -5
Step-by-step explanation:
Look at the attachment
By which rule are these triangles congruent?
Answer:
Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
Step-by-step explanation:
Answer:Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
Step-by-step explanation:
Nora made 15 gallons of lemonade for a community picnic.
Part A
Which of the following can be used to find the number of pints of lemonade that Nora made?
15 × 2 × 2
15 × 4 × 2
15 × 3 × 2
15 × 4 × 3
Part B
How many pints of lemonade did Nora make?
Enter your answer in the box.
pints
Answer:
I also belive for Part A the second one is the answer because it equals 120 Part B is 120 pints! Good Luck! And I hope this Helps!
Answer:
B
Step-by-step explanation:
Year
2006
2008
2010
2015
2018
Value ($)
450
418
255
385
300
1. Using linear regression, write an equation for the line of best
fit to represent the value of the card, y, in years since 2006, r.
Round to the nearest hundredth where necessary. Use your
equation to find the value of the card in 2030.
Answer:
is there a picture
Step-by-step explanation:
Write an equation of the line that passes through (-5,3) and is parallel to the line y=-x+3
Answer:
y = -x - 2
Step-by-step explanation:
Note that the given line, y=-x+3, has a slope of -1. Any new line parallel to this one must also have that slope, -1:
y=-x+3 becomes 3 = -(-5) + C, where C is the y-intercept:
3 = 5 + C, or C = -2
Thus, the desired equation of this new line is y = -x - 2
7ft
24ft
10 ft
Area?
Answer:
238 ft
Step-by-step explanation:
7x24=168
7x10=70
168+70=238
lengthxwidthxheight
6th grade math help me :))
Answer:
(30*20)+200
Step-by-step explanation:
27 to 30
18 to 20
172 to 200
The probability of event A is 0.5 and probability of event B is 0.2. Given that A and B are independent, then the probability of A and B (A intersection B) is:
A) 2.5%
B)7 %
C)10%
D) 14%
Tony wants to estimate the number of bees in a beehive. He catches 100 bees from the hive and marks each one with a dye. He then lets the bees go. The next day, tony catches 60 bees from the hive. 15 of these bees have been marked with dye. A) using this information what is a good estimate for the number of bees in the beehive.
Answer:
Number of total bees = 400
Step-by-step explanation:
He catches 100 bees from the hive and marks each one with a dye.
He later catches 60 and 15 were marked with the dye.
Its very to estimate from the data given.
I'll answer it with ratio.
We'll ratio number of bees with dye to total he caught the second day.
I.e 15:60 = 1:4
We'll multiply this ratio with the number he caught the first day to know the total.
1/4x =100
X = 100*4
X= 400
Where x is the total number of bees in the bee hive.
Solve -1/3w -3/5 = 1/5w
Answer:
w= -9/8
Step-by-step explanation:
-1/3w -3/5 = 1/5w
+1/3w +1/3 w
-3/5=1/5w+1/3w
Make common denominators to combine like terms of the right
-3/5=1/5w+1/3w
*3 *5
-3/5=3/15w+5/15w
-3/5=8/15w
multiply both sides by the reciprocal of 8/15 which is 15/8
-3/5*15/8=8/15w*15/8
[tex]\frac{-3}{5}[/tex]*[tex]\frac{15}{8}[/tex] ----> cross reduce 5 in the denominator becomes 1 and 15 in the numerator becomes 3
[tex]\frac{-3}{1}[/tex]*[tex]\frac{3}{8}[/tex] -----> now multiply across
w= -9/8
Answer: -6/7
Step-by-step explanation:
-1/2w-3/5=1/5w
-w/2 - 3/5=w/5
Collect like terms
w/5 + w/2=-3/5
(2w + 5w)/10=-3/5
7w/10=-3/5
Cross multiply
7w x 5=-3 x 10
35w=-30
Divide both sides by 35
35w/35=-30/35
w=-6/7
what does 1 1/2+ 2/3+3/4 equal
Answer:
2 11/12
Step-by-step explanation:
1 1/2+ 2/3+3/4
The common denominator is 12
1 1/2*6/6+ 2/3*4/4+3/4*3/3
1 6/12 + 8/12 + 9/12
Add together
1 +23/12
1+12/12 +11/12
1+1+11/12
2 11/12
what is 7 divided by 1/3 in multiplication
Answer:21
Step-by-step explanation:
7 ➗ 1/3
when dividing fractions you have to change the divide sign to multiplication
and the denominator at the right hand side will become the numerator,the previous numerator at the right hand side will become denominator
7 x 3/1=21
Solve: z5 + 3 = −35
Answer:
z= - 5 √ 38
Step-by-step explanation:
take the root of both sides
or
you can factor each set and make them equal to zero
The point (2-4) is reflected across the line y=-1. What are the coordinates of the image?
A (5,4)
B. (4,2)
C. (2,2)
D.(2,4)
The volume of 2 rectangular pyramids are 5632 in3 and 11000 in3. What is there scale factor
Answer:
Denote the scale factor is k.
=> The ratio between the volume of two rectangular pyramids: k^3
=> k^3 = 11000/5632
=> k^3 = 1.95
=> k = ~1.25
Hope this helps!
:)
0.6666666……… as a percentage
Answer:
2/3
Step-by-step explanation:
Answer: 66.66%
Step-by-step explanation: You multiply 0.66666... by 100 and that gives you 66.66
find the value of p in the following equation: 6 * 2/4 = p * 1/4
Answer: [tex]p=12[/tex]
Step-by-step explanation:
[tex]6*\frac{2}{4}=p*\frac{1}{4}[/tex]
Solve the multiplication on the left side.
6 and 4 can be simplified.
6/2=3
4/2=2
Leaving it like;
[tex]3*\frac{2}{2}=p*\frac{1}{4}[/tex]
2 and 2 is 1 and 3 times 1 is 3.
[tex]3=p*\frac{1}{4}[/tex]
Multiply by 4 to eliminate the fraction and isolate p.
[tex]4*3=p*\frac{1}{4}*4\\12=p[/tex]
The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the contract specifications, 5 percent of the items shipped can be defective. If the inspectors find 1 or fewer defects in the sample of 10, they ship the batch without further inspection. If they find 2 or more, the entire batch is inspected.
(A) Based on this sampling plan, the probability that a batch that meets the contract requirements will be shipped without further inspection is approximately___________.
Answer:
0.9138 = 91.38%
Step-by-step explanation:
For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10 items
This means that [tex]n = 10[/tex]
5 percent of the items shipped can be defective.
This means that [tex]p = 0.05[/tex]
Probability that a batch that meets the contract requirements will be shipped without further inspection
Probability of 1 or fewer defects.
So
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987[/tex]
[tex]P(X = 1) = C_{10,1}.(0.05)^{1}.(0.95)^{9} = 0.3151[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5987 + 0.3151 = 0.9138[/tex]
So the answer is:
0.9138 = 91.38%
Answer:
The answer is 0.9138
Step-by-step explanation:
This is a question of Binomial Probability Combination and the formula that will be used in this question is:
[tex]P(x) = nCx * p^{x} * q^{n - x}[/tex]
Where,
n ⇒ Finite sample number, here it is equal to 10p ⇒ Success, here it is equal to 5% defective or [tex]\frac{5}{100} = 0.05[/tex] q ⇒ Failure, here it is equal to (1 - p) i.e. [tex]q = 1 - \frac{5}{100} = 0.95[/tex][tex]x[/tex] ⇒ Number of defective productsNow, in order to to pass inspection and be shipped [tex]x[/tex] needs to be equal to '0' or '1'.
So,
Putting [tex]x = 0[/tex] in the formula along with the values mentioned above we get
[tex]P(0) = 10C0 * 0.05^{0} * 0.95^{10 - 0}[/tex]
[tex]P(0) = 1 * 1 * 0.5987[/tex]
[tex]P(0) = 0.5987[/tex]
Similarly,
Putting [tex]x = 1[/tex] in the formula along with the values mentioned in the bullets above we get
[tex]P(1) = 10C1 * 0.05^{1} * 0.95^{10 - 1}[/tex]
[tex]P(1) = 10 * 0.05 * 0.6302[/tex]
[tex]P(1) = 0.3151[/tex]
Now, in order to get the actual probability we need to add [tex]P(0)[/tex] and [tex]P(1)[/tex] because there is a chance that either there is no defective product or there is 1 defective in the shipped-batch from which sample was taken. Hence,
[tex]P(0) + P(1) = 0.5987 + 0.3151[/tex]
= 0.9138 (Answer)
Find the 9th term of the geometric sequence 10 , 40 , 160
Answer:
2621440
Step-by-step explanation:
The 9th term of the geometric sequence 10, 40, 160, ......... will be 655,360.
What is a geometric sequence?Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The sequence is given below.
10, 40, 160, .........
The first term is 10 and the common ratio of the sequence will be given as,
r = 40 / 10
r = 4
Then the equation of the geometric sequence is given as,
aₙ = 10 · (4)ⁿ⁻¹
The 9th term of the geometric sequence will be given as,
a₉ = 10 · (4)⁹⁻¹
a₉ = 10 · 65,536
a₉ = 655,360
The 9th term of the geometric sequence 10, 40, 160, ......... will be 655,360.
More about the geometric sequence link is given below.
https://brainly.com/question/11266123
#SPJ5
What is the radius of the cone? Be sure to label your answer with any given 1 point
units (l.e. yd, mi, cm)
4 ft
7 ft
Your answer
What is the radius of the cone? Be sure to label your answer with any given 1 point
Answer:
the radious is half the diameter
Step-by-step explanation:
Mrs. Miller pays $56 for 8 pounds of salmon. What is the price of pound per salmon?
Answer:
A pound of salmon costs 7 dollars.
Step-by-step explanation:
Let's use a ratio:
pounds : $$$
8 : 56
4 : 28
2 : 14
1 : 7
A pound of salmon costs $7
Answer:
Step-by-step explanation:
56 divided by 8 is 7 so the answer is 7$ for one pound of salmon
If the first three Fibonacci nos. are x1=1, x2=1 and x3=2, what is the least value of n for which xn>60?
Answer:
11
Step-by-step explanation:
The first 12 terms of the sequence are ...
1 1 2 3 5 8 13 21 34 55 89 144
The first term that is greater than 60 is the 11th term, 89.
n = 11
Mel wants to buy a pair of shoes that costs $120. She has saved $45 and has a job that pays her $10 per hour. The number of hours she has to
work to have enough to buy the shoes is given by the Inequality 10x +45 > 120, where x is the number of hours she works.
The fewest number of hours she has to work to buy the shoes is
Re: 7
Next
oo
9
10
Answer:
8
Step-by-step explanation:
10x+45> 120 Subtract 45 from both sides of the inequality.
10x>75 Divide both sides by Ten
x>7.5
She has to work at least 7.5 hours so 8 is the fewest number of hours she has to work to buy the shoes.
If there is an increase in the money supply that causes prices to rise and
leads to inflation, what happens to money?
A. It gains purchasing power.
B. It loses purchasing power.
c. It changes from commodity money to fiat money.
D. It changes from fiat money to commodity money.
The increase in the money supply that causes prices to rise and leads to inflation, loses purchasing power.
What is inflation?Inflation refers to the persistent rise in the general prices of commodities in the economy over a period of time. If the prices of goods and services increase in an economy without an increase in income of people, it reduces the purchasing power of individuals.
This follows the law of demand which states that; the higher the price, the lower the quantity demanded; the lower the price, the higher the quantity demanded.
Learn more about inflation:
https://brainly.com/question/8149429
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Answer:
b
Step-by-step explanation:
