Answer:
13.4
Step-by-step explanation:
The time at which the population reach 5000 is 13.4 years.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The time taken to reach a population of 5000 is,
\(P(t) = 1000e^{0.12t}\\5000= 1000e^{0.12t}\\5 = 1000e^{0.12t]\)
Take a log on both sides.
ln( 5 ) = 0.12t
t = ln ( 5 ) / 0.12
t = 13.4 years.
Therefore the time at which the population reach 5000 is 13.4 years.
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A type of wood has a density of 250 kg/m3. How many kilograms is 75,000 cm3 of the wood? Give your answer as a decimal.
Giving brainliest. Please help
Answer:
Please refer to the image.
The answer is blonde hair.
A pattern contains 3, 11, 5, 13, 7, and 15 dots. What are the next two terms of the sequence?
O9, 17
O 7, 13
O9, 15
O 7,11
F(x)=|x|-7 describe the transformation of each function compared to its parent function
Compared to the parent function f(x)=|x|, the graph of F(x) is a translation 7 units down.
What is the image of the point (-5,6) after a rotation of 90° counterclockwise about
the origin?
Answer:
(-6;5)
Step-by-step explanation:
if they are asking about where it is going to be situated in the coordinate system after the rotation
A roll of breakfast sausage weighing 4/5:of a pound is cut into 3 patties of the same size. What is the weight of each patty?
NO LINKS!!!
Solution:
Note that:
4x/5 ÷ 3 = 1 pattySolve for x to find the weight of each patty.
4/5 ÷ 3 = Weight of 1 patty=> 4/5 x 1/3 = 1 patty=> 4/15 = 1 pattyThe weight of a patty is 4/15 of a pound.
Answer:
4/15
Step-by-step explanation:
Hope this helps! Sorry if I am wrong.
Round of 474.53 to 3
significant figures
Answer:
what y'all teachers be on
algebra help please!!!!!!!
Answer:
The answer is c I hope this helps
What is the surface area of the same prism?
Coordinate plane with quadrilaterals EFGH and E prime F prime G prime H prime at E 0 comma 1, F 1 comma 1, G 2 comma 0, H 0 comma 0, E prime negative 1 comma 2, F prime 1 comma 2, G prime 3 comma 0, and H prime negative 1 comma 0. F and H are connected by a segment, and F prime and H prime are also connected by a segment. Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment F'H' to segment FH
Answer:
\(|F'H'| = 2 * |FH|\)
Step-by-step explanation:
Given
\(E = (0,1)\) \(E' = (-1,2)\)
\(F = (1,1)\) \(F' = (1,2)\)
\(G = (2,0)\) \(G' =(3,0)\)
\(H = (0,0)\) \(H' = (-1,0)\)
\((x,y) = (1,0)\) -- center
\(k = 2\) --- scale factor
See comment for proper format of question
Required
Compare FH to F'H'
From the question, we understand that the scale of dilation from EFGH to E'F'G'H is 2;
Irrespective of the center of dilation, the distance between corresponding segment will maintain the scale of dilation.
i.e.
\(|F'H'| = k * |FH|\)
\(|F'H'| = 2 * |FH|\)
To prove this;
Calculate distance of segments FH and F'H' using:
\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)
Given that:
\(F = (1,1)\) \(F' = (1,2)\)
\(H = (0,0)\) \(H' = (-1,0)\)
We have:
\(FH = \sqrt{(1- 0)^2 + (1- 0)^2}\)
\(FH = \sqrt{(1)^2 + (1)^2}\)
\(FH = \sqrt{1 + 1}\)
\(FH = \sqrt{2}\)
Similarly;
\(F'H' = \sqrt{(1 --1)^2 + (2 -0)^2}\)
\(F'H' = \sqrt{(2)^2 + (2)^2}\)
Distribute
\(F'H' = \sqrt{(2)^2(1 +1)}\)
\(F'H' = \sqrt{(2)^2*2}\)
Split
\(F'H' = \sqrt{(2)^2} *\sqrt{2}\)
\(F'H' = 2 *\sqrt{2}\)
\(F'H' = 2\sqrt{2}\)
Recall that:
\(|F'H'| = 2 * |FH|\)
So, we have:
\(2\sqrt 2 = 2 * \sqrt 2\)
\(2\sqrt 2 = 2\sqrt 2\) --- true
Hence, the dilation relationship between FH and F'H' is::
\(|F'H'| = 2 * |FH|\)
Answer:NOTT !! A segment in the image has the same length as its corresponding segment in the pre-image.
Step-by-step explanation:
contracts for two construction jobs are randomly assigned to one or more of three firms, a, b, and c. the joint distribution of y1, the number of contracts awarded to firm a, and y2, the number of contracts awarded to firm b, is given by the entries in the following table. y1 y2 0 1 2 0 1 9 2 9 1 9 1 2 9 2 9 0 2 1 9 0 0 find cov(y1, y2). (round your answer to three decimal places.) cov(y1, y2)
The value of covariance cov(y1, y2) is -0.222
y1
y2 0 1 2 Total
0 1/9 2/9 1/9 4/9
1 2/9 2/9 0 4/9
2 1/9 0 0 1/9
Total 4/9 4/9 1/9 1
marginal distribution of y2:
y2 P(y2) y2P(y2) y2^2P(y2)
0 4/9 0.0000 0.0000
1 4/9 0.4444 0.4444
2 1/9 0.2222 0.4444
total 1 0.66667 0.88889
E(y2) = 0.6667
E(y2^2) = 0.8889
Var(y2) = E(y2^2)-(E(y2))^2=0.4444
marginal distribution of y1
y1 P(y1) y1P(y1) y1^2P(y1)
0 4/9 0.0000 0.0000
1 4/9 0.4444 0.4444
2 1/9 0.2222 0.4444
total 1.00 0.6667 0.8889
E(y1) = 0.6667
E(y1^2) = 0.8889
Var(y1)= σy = E(y1^2)-(E(y1))^2 = 0.4444
E(XY) =∑xyP(x,y)=0.2222
Cov(y1,y2) = -0.222
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The Carousel on the National Mall has 4 rings of horses. Kiran is riding on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is.
One rotation of the carousel takes 12 seconds. How much faster does Mai travel than Kiran? (Round to the nearest tenth)
Mai travels abοut 4.2 feet per secοnd faster than Kiran.
What is circumference?Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.
The circumference οf Kiran's ring is:
C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft
The circumference οf Mai's ring is:
C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft
Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.
The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:
V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s
And the speed οf Mai in feet per secοnd is:
V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s
The difference in their speeds is:
V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s
Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.
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I don’t know why I’m finding this so hard but I’ve tried so many attempts
Check the picture below.
10 The ratio of boys to girls on a bus is 4 to 5. If 1 girl and
2 boys get off the bus, what will be the ratio of boys to
girls on the bus?
Answer:
F
Step-by-step explanation:
is the answer because when u solve u get that answer u get your ratio and then multiply and divide that's how u get your answer
The ratio of boys to girls on the bus is 1/2
Given that the ratio of boys to girls on a bus is 4 to 5, this can be written as 4:5
Ratio = boys/girls = 4/5If 1 girl and 2 boys get off the bus, the number of boys to girls will be (4-2):(5-1)
New ratio of boys to girls will be expressed as 2:4New ratio = 2/4 = 1/2Hence the ratio of boys to girls on the bus is 1/2
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9. Alan invests £425 in a savings account paying 4.14% compound interest.
a. How much will his investment be worth after three years?
b. Express the amount paid as a percentage of the amount invested
Plead Your Case Give the most convincing explanation you can for why a = c
The most convincing explanation I can give for why a = c is supplementary property a+ b
= 180° and b+c = 180° and substraction operation and also one more reason is a = c is also true because they are vertically opposite angles.
What is supplementary angles ?
A supplementary angle is an angle that sums to 180 degrees. For example, the 130° and 50° angles are complementary because the sum of 130° and 50° is 180°.
We know that, supplementary angles are angles whose sum is 180°. From the above figure, using the property that linear pairs are supplementary , we have b+c = 180° , c+d = 180° , d+a = 180° ,
a+b = 180°
Therefore, consider a+b = 180° and b+c = 180°
Using subtraction property of equality, we have
180°- b = a .........(1)
180°-b = c ..........(2)
Substitute 180°- b = a in equation (2) , we get
=> a = c
Hence, we get the required results.
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The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
Select one:
a.
bus
b.
car
c.
subway
d.
train
Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.
How to Interpret a Box-and-whisker Plot?
In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.
The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.
Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.
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The perimeter of this rectangle is 20cm, what’s the missing side?
Answer:4 cm
Step-by-step explanation:
Formula for perimeter of a rectangle: P = 2(l+w)
20 = 2(6+w)
20 = 12+2w
divide by 2
10 = 6 + w
10-6 = w
4 = w
A fancy restaurant put dishes of butter at each table. They divided 4/5 of a kilogram of butter evenly to put 1/5 of a kilogram in each dish. How many butter dishes did they fill?
Answer: 4
This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.
4/5 ÷ 1/5
Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:
4/5 x 5
To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.
You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.
Hope this helps!
The dot plots show the age of different players on two different local soccer teams.
Team A
Team B
+
+
+
4
20
+
29
23
20
24
21
25
26
27
28
29
30
21
22
23
24
28
30
26
28
27
Age (years)
Age (years)
Which statement is best supported by the information in the table?
A.
The range of the data for Team A is equal to the range of the data for Team B
B.
The mode of the data for Team B is greater than the mode of the data for Team A
C.
The distributions of the data for Team A and Team B are approximately
symmetrical
D.
The median of the data for Team B is less than the median of the data for Team A
Answer:
answer is b...............
Is this outline structure correct?
Title
Topic
1.
A
В.
1
2.
a
b.
II
А
B
1
2.
A
B
Yes
No
Answer:
yes it is
Step-by-step explanation:
find the area of the polygonb
Answer:
A=b×h
A=3x5
A=15
ggggggggggg
A major league baseball team is ending its season
and totaling up concession sales. Looking at
receipts they have found that they made
$10,486,525 in hot dog sales, $23,451,492 in
large drink sales, $4,765,300 in soft pretzel sales
and $1,342,653 in nacho sales. If they rounded
each item's sales amount to the nearest million,
what is the estimated money collected in
concession sales?
Answer:
The estimated money collected in concession sales would be $39,000,000.
Step-by-step explanation:
Since a major league baseball team is ending its season and totaling up concession sales, and looking at receipts they have found that they made $ 10,486,525 in hot dog sales, $ 23,451,492 in large drink sales, $ 4,765,300 in soft pretzel sales and $ 1,342,653 in nacho sales, To determine, if they rounded each item's sales amount to the nearest million, what is the estimated money collected in concession sales, the following calculations must be performed:
$ 10,486,525 = 10,000,000
$ 23,451,492 = 23,000,000
$ 4,765,300 = 5,000,000
$ 1,342,653 = 1,000,000
10 + 23 + 5 + 1 = 39
Therefore, the estimated money collected in concession sales would be $ 39,000,000.
mz3 = 10x and mz5= 12x - 25.
Answer:
\(x = 12.5\) degrees
Step-by-step explanation:
Since lines a and b are parallel, we have that angles 3 and 5 are congruent, that is, they have the same measure.
We have that:
\(m<3 = 10x\)
\(m<5 = 12x - 25\)
Value of x:
Since they are congruent:
\(m<3 = m<5\)
\(10x = 12x - 25\)
\(-2x = -25\)
\(2x = 25\)
\(x = \frac{25}{2}\)
\(x = 12.5\) degrees
if x² = √16 = x
true or false?
Step-by-step explanation:
it is true
the square root of 16 is 4
Giving some points, but dont take them or iIwill delete and ban you. Answer this math question and you get 33 points! If you get it right, in the next question, I will give 50 points, MAYBE. A captain owns 26 sheep and 10 goats. How old is the captain?
Answer:
i think i got it but can you help me out a little with this too? im not sure either...dont ban me i jjust need help
Step-by-step explanation:
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10. The auditorium can
hold no more than 85 people. The drama club must make no less than $690 from
ticket sales to cover the show's costs. Also, they must sell a minimum of 10 student
tickets and at least 55 adult tickets. If a represents the number of student tickets sold
and y represents the number of adult tickets sold, write and solve a system of
inequalities graphically and determine one possible solution.
On solving the inequalities a ≥ 10, y ≥ 55, 7a + 10y ≥ 690, the solution is obtained as (20,55).
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
Use the variables a and y to represent the number of student and adult tickets sold, respectively.
Then write the following system of inequalities -
a ≥ 10 (they must sell a minimum of 10 student tickets)
y ≥ 55 (they must sell at least 55 adult tickets)
7a + 10y ≥ 690 (they must make no less than $690 from ticket sales)
The first two inequalities are constraints on the number of tickets sold, and the third inequality represents the revenue constraint.
To find a possible solution, graph these inequalities on a coordinate plane and look for the feasible region that satisfies all three inequalities.
Alternatively, solve the system of inequalities using algebra.
First, simplify the third inequality by subtracting 7a from both sides -
10y ≥ 690 - 7a
Then, divide both sides by 10 -
y ≥ (690 - 7a)/10
This inequality represents the revenue constraint in terms of the number of student tickets sold.
Now combine the revenue constraint with the other two constraints -
a ≥ 10
y ≥ 55
y ≥ (690 - 7a)/10
Use substitution to solve for a in terms of y -
y ≥ (690 - 7a)/10
10y ≥ 690 - 7a
7a ≥ 690 - 10y
a ≥ (690 - 10y)/7
To find a possible solution, substitute a = (690 - 10y)/7 into the other two constraints -
(690 - 10y)/7 ≥ 10
y ≥ 55
These inequalities can be simplified -
690 - 10y ≥ 70
y ≥ 55
The first inequality can be solved for y -
-10y ≥ -620
y ≤ 62
Since it is known y ≥ 55, the feasible values for y are between 55 and 62, inclusive -
55 ≤ y ≤ 62
Now use the expression for a in terms of y to find the corresponding values of a -
a = (690 - 10y)/7
For each value of y between 55 and 62, inclusive, we can calculate a and check whether it satisfies the constraints -
a ≥ 10
y ≥ 55
7a + 10y ≥ 690
For example, when y = 55 -
a = (690 - 10(55))/7 = 20
7a + 10y = 7(20) + 10(55) = 690
Therefore, these values satisfy all three constraints, so one possible solution is a = 20 and y = 55.
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Enter the equivalent distance in km in the box.
1 km = 1000 m
1 m = 100 cm
35,000 cm =
km
Answer:
0.350 km
Step-by-step explanation:
Hi there !
35000 cm = 35000/100 m = 350 m
350 m = 350/1000 km = 0.350 km
Good luck !
A car and a truck left Washington, DC traveling in opposite directions. The car traveled 19 miles per hour faster than the truck, and at the end of 8 hours they were 1048 miles apart. What was the average speed of each vehicle?
100 POINTS
Answer:
Step-by-step explanation:xmccc
Scampini Technologies is expected to generate $75 million in free cash flow next year, and FCF is expected to grow at a constant rate of 7% per year indefinitely. Scampini has no debt or preferred stock, and its WACC is 12%, and it has zero nonoperating assets. If Scampini has 40 million shares of stock outstanding, what is the stock's value per share? Do not round intermediate calculations. Round your answer to the nearest cent
If Scampini has no debt or preferred stock, and its WACC is 12%, and it has zero nonoperating assets in which Scampini has 40 million shares of stock outstanding, the stock's value per share is $37.50.
Stock priceNext year CF = $75 millions
Growth rate of CF = 7%
WACC = 12%
Number of shares outstanding = 40 million shares
Estimated business valuation:
Valuation = Next year CF/ (WACC -growth rate)
Valuation = $75 million / (12% - 7%)
Valuation = $75 million /5%
Valuation =$1500 million
Estimated stock price:
Stock price = Valuation /Shares outstanding
Stock price = $1500 million / 40 million shares
Stock price = $37.50
Therefore the stock price is $37.50.
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