Answer:
t = 13.33 second
Step-by-step explanation:
Given:
Equation first -25t+1250
Equation second 50t+250
Computation:
-25t+1250=50t+250
75 t = 1,000
t = 13.33 second
Means in t (13.33) second both container have same amount of liquid
85 POINT QUESTION!!! What is the equation of this trend line? Enter your answers by filling in the boxes. K = J + Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable J. The vertical axis is labeled Variable K. Points are plotted at begin ordered pair 2 comma 16 end ordered pair, begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 16 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 5 and 93 hundredths comma 9 and 62 hundredths end ordered pair, begin ordered pair six comma 12 end ordered pair, begin ordered pair 6 comma 16 end ordered pairm beign ordered pair 10 comma 2 end ordered pair, begin ordered pair 10 comma 8 end ordere dpair. A line is drawn through begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 6 comma 16 end ordered pair, and begin ordered pair 10 comma 8 end ordered pair.
The answer for this question would be K=-2J+28. I hoped I helped!
Answer:
K=-2J+28
Step-by-step explanation:
i took the k 12 test
8
7
6+
5
4 3
N
1
-8 -7 -6 -5 4ß -2
-1
1
2 3 4 5 6 7 8
-2
-3
-5
-6
-7
-8+
The system of equations has
O one solution
no solution
infinitely many solutions
Answer:
no bro
Step-by-step explanation:
no
A carpenter is making a rectangular form for a concrete pad she wants the length of the path to be 11 feet more than the width of the bed the area of the concrete pad must be 80 ft.² write the quadratic equation that will be used to find the dimensions of the pad
Answer:
Length = 16 or -5 feet.
Width = 5 or -16 feet.
Step-by-step explanation:
Let the length of the concrete pad = l
Let the width of the concrete pad = w
Given the following data;
Area of concrete pad, a = 80ft²
Translating the word problem into an algebraic equation, we have;
[tex] l = 11 + w[/tex]
We know that, the area of rectangle, A = length * width
[tex] A = l*w[/tex]
Substituting the values into the equation, we have;
[tex] 80 = (11 + w)w[/tex]
Expanding the bracket, we have;
[tex] 80 = 11w + w^{2}[/tex]
[tex] w^{2} + 11w - 80 = 0[/tex]
*Solving the quadratic equation by using factorization method*
[tex] w^{2} + 16w - 5w - 80 = 0[/tex]
[tex] w(w + 16) - 5(w + 16) = 0[/tex]
[tex] (w - 5)(w + 16) = 0 [/tex]
Width, w = 5 feet or w = -16 feet.
Therefore, the width of the concrete pad is 5 feet or -16 feet.
To find its length, l;
[tex] l = 11 + w[/tex]
When w = 5 feet
[tex] l = 11 + 5[/tex]
Length, l = 16 feet
When w = - 16 feet
[tex] l = 11 + (-16)[/tex]
[tex] l = 11 - 16[/tex]
Length, l = -5 feet.
Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.
I tried to answer this one and got it wrong the question is “find the measure of each angle indicates”
Answer:
∠F = 80
Step-by-step explanation:
Let's find inner ∠D first, as you can see, it's a straight line but a line is in between, the outer angle is 120, and a straight line is 180, so 180 - 120 = 60. The inner ∠D is 60, now we can find ∠F, a triangle is 180:
40 + 60 + ∠F = 180
100 +∠D = 180
subtract 100 from both sides
∠F = 80
Write a function rule that best models the data in the table. (0,3), (1,4),(2,7,(3,12)
12. A quality control procedure at a manufacturing facility involves selecting 5 items at random from a large batch, and then accepting the entire batch if at least 3 of the selected items pass inspection. If in reality 80% of all items produced would individually pass inspection, what is the probability that the batch will be accepted
Answer:
The probability is 0.9421
Step-by-step explanation:
Here, we want to calculate the probability that the batch will be accepted
For it to be accepted, 3,4 or 5 of the items would pass inspection
let p be the probability of a single item
passing the inspection
This probability is 80% = 0.8
Let q be the probability of failing inspection = 2-0.8 = 0.2
The Bernoulli approximation of the probability distribution for 3 passing the inspection out of five will be;
5 C 3 0.8^3 0.2^2 = 0.2048
Next we calculate for 4 out of the five
That will be
5 C 4 0.8^4 0.2 = 0.4096
Finally we calculate for all 5
5 C 5 0.8^5 0.2^0 = 0.32768
So the probability that the batch will be accepted will be;
0.32768 + 0.4096 + 0.2048 = 0.94208
Using the binomial distribution, it is found that there is a 0.9421 = 94.21% probability that the batch will be accepted.
For each item, there are only two possible outcomes, either they pass inspection, or they do not. The probability of an item passing inspection is independent of any other item, hence the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
5 items are selected, hence [tex]n = 5[/tex].80% of all items produced would individually pass inspection, hence [tex]p = 0.8[/tex].The probability that the batch will be accepted is:
[tex]P(X \geq 3) = P(X = 3) + P(X = 4) + P(X = 5)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.8)^{3}.(0.2)^{2} = 0.2048[/tex]
[tex]P(X = 4) = C_{5,4}.(0.8)^{4}.(0.2)^{1} = 0.4096[/tex]
[tex]P(X = 5) = C_{5,5}.(0.8)^{5}.(0.2)^{0} = 0.3277[/tex]
Then:
[tex]P(X \geq 3) = P(X = 3) + P(X = 4) + P(X = 5) = 0.2048 + 0.4096 + 0.3277 = 0.9421[/tex]
0.9421 = 94.21% probability that the batch will be accepted.
You can learn more about the binomial distribution at https://brainly.com/question/24863377
A six controller thumb covers costs $2.10. At this rate, how much should 32 thumb covers cost? round to the
nearest cent.
Answer:
67 dollars and 20 cents
Step-by-step explanation:
2.10 per thumb cover
32x2.10=67.2
Answer:
if a six controller thumb cover cost 2.10 then you multiply 2.10 by 5 (because if you need 32 then you divide 32/6 and you get 5) 2.10 x 5 would equal 10.50 so that's your answer 10.50
Step-by-step explanation:
Please help me and show work thank you
Answer:
-21
Step-by-step explanation:
We can use the opposite operation and subtract 4.3 from -16.9 to find out what w is. From that, we will get -21.
(I'm really sorry, I'm bad at explaining things but I hope this helped)
23x + 18 - 12x = 62
Answer:56/23
Step-by-step explanation:
23x +18-12=62
23x+6=62
23x=56
X=56/23
Answer:
x=4
Step-by-step explanation:
Group like terms
23x-12x+18=62
add similar elements
11x+18=62
subtract 18 from both sides
11x+18-18=62-18
simplify
11x=44
divide both sdies by 11
11x/11=44/11
simplify
x=4
Considering the 9th slab of tax structure of Pakistan for 2020-2021, Where the taxable salary income exceeds Rs. 12,000,000 but does not exceed Rs. 30,000,000 the rate of income tax is 2,345,000 + 27.5% of the amount exceeding Rs. 12,000,000. If we create a mathematical Model of the tax structure, the function for this particular slab will be:
0.275x
0.275x-12000000
0.275x-955000
0.275x-2345000
9514 1404 393
Answer:
(c) 0.275x-955000
Step-by-step explanation:
The amount exceeding 12,000,000 can be described by ...
x - 12,000,000
Then 27.5% of that is ...
0.275(x -12,000,000) = 0.275x -3,300,000
Adding 2,345,000 to that gives the expression ...
2,345,000 +(0.275x -3,300,000) = 0.275x -955,000
I need the answers for #7 and #8
Answer:
7. x=9, y=7 The first number is 9, and the second number will be 7.
8. h= $2.25 c= $1.19 The cost of each hotdog is $2.25, and the cost of each bag of chips is $1.19.
Step-by-step explanation:
7. First lets define the variables: x=first number; y=the second number
Now we set up a system of equations:
Eq. 1. 2x+y=25 Eq. 2. 3x-y=20
Now we solve (I'm going to use subsitution you can use wtv you are comfortable with)
1. 2x+y=25 1. y=25-2x
Subsitute.
2. 3x-y=20 2. 3x- (25-2x)=20
Simplify.
3x-25+2x=20 5x-25=20 5x=45 x=9
Now solve for y by subsituting x into one of the equations.
1. 2x+y=25 2(9)+y=25 18+y=25 y= 7
The first number is 9, and the second number will be 7.
8. Define the variables.
h= cost of a hotdog; c=cost of a bag of chips
System of Equations:
Eq. 1. 5h+3c=14.82 Eq. 2. 7h+6c=22.89
Now solve.
1. 5h+3c=14.82 2. 7h+6c=22.89
Using subsitution...
h=2.25 c=1.19
The cost of each hotdog is $2.25, and the cost of each bag of chips is $1.19.
Which quadratic function is shown in the graph?
A) f(x) = x2
Answer: a I think
Step-by-step explanation:
7. What is the smallest angle in the triangle below?
Answer:
Angle a is the smallest
Let f(x) = 2x - 5 and g(x) = 3x. Perform the indicated
operation.
g(x)/f(x)
SOMEONE HELP PLZ
Answer:
f{3x}=6x-5
Step-by-step explanation:
There isn't really much to do: if you perform the division between function you get a new function:
[tex]h(x)=\dfrac{g(x)}{f(x)}=\dfrac{3x}{2x-5}[/tex]
At an electronics store, the price of a tablet is marked down 15% to $212.50
What was the price of the tablet before the markdown?
Enter your answer in the box.
Please ai need answers fast!!!!
Answer:
$250
Step-by-step explanation:
$212.50 is 85% of the original price.
Therefore use the equation below to find out original price.
(original price) * 0.85 = 212.50
original price = 212.50 / 0.85 = 250
Answer:
250
Step-by-step explanation:
hope this helps
Barry has 7 coins, all of which are quarters and nickels. In all, they're worth $1.35. How many of each kind of coin does Barry have?
Answer:
5 quarters
2 nickels
Step-by-step explanation:
Answer:
5 quarters and 2 nickels.
Step-by-step explanation:
One quarter is equal to 25. 25x5=125. So, it would be 5 quarters because you wouldn't be able to go any farther without going over. One nickel is 5 and if you have 2 nickels you get 10. 10+125=135. So, there will be 2 nickels and 5 quarters.
Hope this helped!
What are the coordinates of point S?
A. -3/4, 1/2
B. -1/2, -3/4
C. 1/2, -3/4
D. 3/4, 1/2
Answer:
i think it's C.
Step-by-step explanation:
i really hope I'm right :/
Each side of a square is (7 + 3x) units. Which is the perimeter of the square?
Answer:
28+12x
Step-by-step explanation:
The perimeter of a square is 4s where s is the side lenght. In your case s is 7+3x so the perimeter will be (28+12x).
help look at image pls
Answer:
ok coool
Step-by-step explanation:
i have nothing
Juan rides his bike 97 miles to and from school each month.
Part A
How can you use compensation to find the number of miles he rode in 6 months?
A.
97 is close to 100, so multiply 6 × 100 and then add 6 × 3.
B.
97 is close to 100, so add 6 + 100 and then multiply by 6 + 3.
C.
97 is close to 100, so add 6 + 100 and then add 6 × 3.
D.
97 is close to 100, so multiply 6 × 100 and then subtract 6 × 3.
Answer:
cvfgrtyukjmn
Step-by-step explanation:
Troy wrote the equation in the box to find a solution to a problem.
6x = 42
Which problem could Troy be solving?
Troy set the microwave to defrost for 42 minutes. He later increased the time by another 6 minutes. What is the total time the microwave defrosted?
Troy bought movie tickets for 42 people. What is the total cost of the tickets if each ticket is $6?
Troy worked 6 days this week. If his timesheet totals 42 hours in those $6 days, how many hours did Troy average each day?
Troy sprinted 42 yards on Monday. On Friday, he sprinted $6 times as far. How far did Troy sprint on Friday?
I need help ASAP this is a grade!!
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ft, the liquid boils at 199.42°F. At an altitude of 4700 ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2500 ft?
Write an equation.
b=nothing
Answer:
The boiling point of the liquid it 210.25°F
Step-by-step explanation:
Linear Modeling
Some real-life events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to build the model and predict unknown behaviors.
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
We are given the following points (H,A) where A is the altitude and P is the boiling point of a certain liquid: (8200,199.42) and (4700,206.07)
Applying the formula:
[tex]\displaystyle B-199.42=\frac{206.07-199.42}{4700-8200}(A-8200)[/tex]
Calculating:
[tex]\displaystyle B-199.42=\frac{6.65}{-3500}(A-8200)[/tex]
[tex]\displaystyle B-199.42=-0.0019(A-8200)[/tex]
[tex]\displaystyle B-199.42=-0.0019A+15.58[/tex]
[tex]\displaystyle B=-0.0019A+15.58+199.42[/tex]
The equation is:
[tex]\displaystyle B=-0.0019A+215[/tex]
Finally, we calculate the boiling point at A=2500 ft:
\displaystyle B=-0.0019*2500+215
B = 210.25°F
The boiling point of the liquid it 210.25°F
What is an equation of the line that passes through the points (4,-2) and (8,3)?
Answer:
[tex]y-4=\frac{5}{4} (x+2)[/tex]
Step-by-step explanation:
First you can find the slope of the line that would pass through those two points using the formula:
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{3-(-2)}{8-4}[/tex]
m=5/4
Now you can just plug the slope and one of the points into point-slope form for an equation of the line that will pass through both points. You can choose either point here: I'll just use the first one.
So,
[tex]y-4=\frac{5}{4} (x+2)[/tex]
(don't leave out the parentheses!)
A florist is making a fower bouquet for a client. The client wants the bouquet to have a ratio of 3 carnations to 5 peonies. Which of
these bouquets meets the clients needs?
A. a bouquet of 9 carnations and 20 peonies
B.
a bouquet of 9 carnations and 15 peonies
С.
a bouquet of 6 carnations and 15 peonies
D.
a bouquet of 6 carnations and 20 peonies
solve In 2010, the percentage of assisted living residents who had both heart disease and depression was 9%, the percentage with only heart disease was 25%, and the percentage with either condition was 48%. What percentage of assisted living residents had only depression
Answer:
The percentage of assisted living residents had only depression
P(D) =0.32
Step-by-step explanation:
Explanation:-
Given the percentage of assisted living residents who had both heart disease and depression was 9%
Let The event 'H' be the event of heart disease and 'D' be the event of depression
P(H ∩D) = 9% =0.09
The percentage with only heart disease was 25%
P(H) = 0.25
The percentage with either condition was 48%.
P(H∪D) = 48%=0.48
By addition theorem on probability
[tex]P(H UD) = P(H) +P(D) - P(H n D)[/tex]
[tex]0.48 = 0.25 + P(D) -0.09[/tex]
P(D) = 0.48 -0.16
P(D) = 0.32
The percentage of assisted living residents had only depression
P(D) =0.32
The heights of green bean starter plants at a nursery are Normally distributed with a mean of 40 centimeters. If a green bean plant that has a z-score of 1.67 has a height of 45 centimeters, then what is the standard deviation of this Normal distribution? Round your answer to the nearest hundredths.
Answer:2.99 on edge
Step-by-step explanation: i got the question wrong just for the answer hope this helps
Answer:
2.99 on edge
Step-by-step explanation:
A cellular phone company charges $67.95 per month for a service plan that includes 6 GB of data. In addition to the basic monthly rate, the company charges $8.95 for each additional GB of data over 6 GB. A customer on this plan receives a bill for $148.50. How much data did this customer send and receive during the month?
Answer:
The customer send and receive 15 GB of data during the month.
Step-by-step explanation:
Given;
Monthly charge for 6 GB of data = $67.95
Additional charge for each additional GB of data over 6 GB = $8.95
Bill received by the customer = $148.50
Therefore, we have:
Total amount paid for additional GB of data over 6 GB = Bill received by the customer - Monthly charge for 6 GB of data = $148.50 - $67.95 = $80.55
Additional GB of data over 6 GB = Total amount paid for additional GB of data over 6 GB / Additional charge for each additional GB of data over 6 GB = $80.55 / $8.95 = 9 GB
Total data customer send and receive during the month = 6 GB + Additional GB of data over 6 GB = 6 GB + 9 GB = 15 GB
Therefore, the customer send and receive 15 GB of data during the month.
If 21% = 96 students how many students is 1%.
Or you can help with the whole question
Answer:
1% are 5 students
Step-by-step explanation:
21% is 96 then
1% is X
X = 1*96 / 21
X = 5
if nth term of the AP 3,10,17.... is same as the nth term of the AP 63,65,67.... find n.
Answer:
n = 13
Step-by-step explanation:
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d
[tex]a_{n}[/tex] = 3 + 7(n - 1) (for the first AP)
[tex]a_{n}[/tex] = 63 + 2(n - 1) ( for the second one)
3 + 7(n - 1) = 63 + 2(n - 1)
3 + 7n - 7 = 63 + 2n - 2
5n = 65
n = 13
Answer:
n = 13
Step-by-step explanation:
AP = 2, 10, 17 ...
AP1 = 63,65, 67
Find the general term of AP
L = a + (n - 1)*d
a = 2
d = 7
Find the general term of AP1
L = 63 + (n - 1)*d
a = 63
d = 2
Equation to equate both of them
L = 3 + (n-1)7
L1 = 63 + (n - 1)*2
Equate L and L1
2 + (n - 1)*7= 63 + (n-1)*2 Subtract 3 from both sides
(n - 1)*7 = 63 - 3 + (n - 1)*2 Remove the brackets
7n - 7 = 60 + 2n - 2 Combine the like terms on the right
7n - 7 = 58 + 2n Subtract 2n from both sides
7n - 2n -7 = 58 Add 7 to both sides
5n = 58 +7 Divide by 5
n = 65/5
n = 13
So the 13th term on each series is equal.
L_13 = 3 + (13 - 1)*7
L_13 = 3 + (12)*7
L_13 = 87
=====================
L'_13 = 63 + (13 -1 ) * 2
L'_13 = 63 + 12*2
L'_13 = 87
helppppppppp:)))))))))))
Answer:
bottom one
Step-by-step explanation:
9a-b-2a-10b add like terms
7a-11b