Answer:
2099
Step-by-step explanation:
The formula for Exponential Decrease is given as:
P(t) = Po × e ^-rt
Where
r = Decrease rate = 3.5% = 0.035
t = time in years = 5 years
Po = Initial population = 2500
P(t) = Current Population after t years
Hence:
P(t) = 2500 × e^ -(5 × 0.035)
P(t) = 2500 × e^-0.175
P(t) = 2098.6425519
Approximately = 2099
The population of the town after 5 years = 2099
Sally was painting an airplane on a canvas using a 1in.: 8ft scale. If her painting was 29 inches wide, what was the actual width of the airplane?
Answer:
232 inches or 19.33 feet
Step-by-step explanation:
232 feet is the actual width of the airplane.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
Sally was painting an airplane on a canvas using a 1in.: 8ft scale
1 inches = 8 ft scale.
Sally painting was 29 inches wide.
We have to find the actual width of the airplane.
Convert 29 inches to feet.
As we know 1 inche is 8 feet so 8 inches will be the multiple of 8 and 28.
29×8
232 feet.
Hence, 232 feet is the actual width of the airplane.
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Jason is baking a cake. The recipe calls for 2 cups of sugar for every 5 cups of flour. If he is making a small cake and is only using 1 cup sugar, how many cups of flour should he use? *
Answer:
2 1/2 cups
Step-by-step explanation:
First, our ratio is sugar:flour or 2:5, so our question is 1:? We find ? by finding how we got to 1 on the other side.
2 ÷ 2 = 1
And what we do to one side, we always have to do to the other to make it proportional, so
5 ÷ 2 = 2.5 or 2 1/2
So, if Jason is using 1 cup of sugar, he should use 2 1/2 cups of flour
hope this helps
This is correct right?
Answer:
Yes, it is not a diameter
Step-by-step explanation:
It's going through the circle (sphere) which makes it a diameter
I and D are not going straight through the middle
A zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 feet and the perimeter of the habitat should be no more than 300 feet
Write a system of linear inequality:___________
Please help!! It’s due within 20 minutes!! Please..
Answer:
Step-by-step explanation:
Let x ft be the length of the fence and y ft be the width of the fence.
1. The length of the habitat should be at least 80 feet, then
2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fences 2x+2y ft, then
3. The system of inequalities that represent the model is
The graph of these inequalities is attached.
Two possible solutions are
1. x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);
2. x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).
(3x+15) (2x)
Help pls
Answer:
(
3
+
1
5
)
(
2
)
(3x+15)(2x)
(3x+15)(2x)
Simplify
1
Distribute
(
3
+
1
5
)
(
2
)
3
(
2
)
+
1
5
(
2
)
Solution
3
(
2
)
+
1
5
(
2
)
Step-by-step explanation:
Answer:
[tex]3x+15+2x=180\\5x=165\\x=33\\[/tex]
What is the measure (in radians) of central angle in the circle below?
5 cm
0
2 cm
radians
Answer:
2.5
Step-by-step explanation:
Picture attached below
Answer:
it's answer is B. 4/5
Step-by-step explanation:
perpendicular (p) = 8
hypotenuse (h) = 10
sin < A
= p/h
= 8/ 10
= 4/ 5
Hope it will help :)
Matteo is following this recipe to make a cake.
He wants to make three of these cakes.
How much of each ingredient does he need?
Recipe: Makes 1 cake
8 ounces butter
7 ounces sugar
10 ounces of flour
4 eggs
1 teaspoon (tsp) baking powder
Answer:
30 ounces of butter
25 ounces of sugar
35 ounces of flour
15 eggs
10 tbps of baking powder
Step-by-step explanation:
All you do is multiple each quantity by 5 I think
we are learning about this in school but check the web to see if it is correct
A shoe store uses a 38% markup to price their items. The store buys the
shoes from the wholesaler for $52. By how much will they mark up the price?
Answer:
They will Markup the price by $19.76.
Step-by-step explanation:
Markup percent = 38%
Wholesale Price = $52
Markup price can be calculated by simply multiplying the wholesale price by 38% or 0.38.
so
Markup price = 38% of 52
= 38/100 × 52
= 0.38 × 52
= $19.76
Therefore, they will Markup the price by $19.76.
Solve the inequality -20 < 10n
Answer:
n>-2
Step-by-step explanation:
The line models the temperature starting at noon on an autumn day.
a. Find the y-intercept of the function.
b. What does the y-intercept represent?
please help! (i will insert a picture so you can see the graph)
Answer:
a) y-intercept (as can be seen) is 50 degrees
b) this means that, at the time the temperature began to be recorded, it was 50 degrees outside
Step-by-step explanation:
A stuffy normally costs $12, but this week it is on sale for $9. What is the Percent of Change on the stuffy?
Answer: 25%
Step-by-step explanation:
From the question, we are told that a stuffy normally costs $12, but that this week it is on sale for $9.
The Percent of Change on the stuffy will be calculated as:
= Change / Normal cost × 100
= (12 -9) / 12 × 100
= 3/12 × 100
= 1/4 × 100
= 25%
A rectangular prism has a length of iom, a height of 2m, and a width of 5m. What is
its volume, in cubic m?
Answer: Would it be 10^3m
Step-by-step explanation:
Volume of a rectangular prism = (length x width x height) cubic units.
which of the following is not a function A (2,1),(4,3),(6,5),( 8,7) B (2,1),(4,1),(6,5),(5,4) C (2,1),(4,3),(6,5),(2,7)
Answer:
B
Step-by-step explanation:
5(x + 3) represents the area of the rectangle above. Which expression below is
equivalent by the Distributive Property? (4 points)
1) 5x + 3
O2) (5 + x) + 3
3) 5x + 15
O4) (x + 3) - 5
ILL GIVE BRAINLIEST
Answer: 1,2,3 becuase they are all equivalent its just logic when you think abt it
Step-by-step explanation: 4 makes no sense
Answer: I dont know
Step-by-step explanation: Math make my brain hurt, and its not 4 btw.
ps: answer is C third option
Complete the similarity statement for the two quadrilaterals given.
Enter your answer in the box.
quadrilateral RBWZ∼quadrilateral
Answer: hi! the answer is in the picture below but in case you can’t see the answer is JPFS
have a wonderful day and stay safe!!!
Step-by-step explanation: (see picture :))
Answer:
JPFS
Step-by-step explanation:
Verified correct with test results.
At the start of the experiment substance is measured to be 90°C, and by the end of the experiment its temperature is measured as -50°C. How does the temperature change from the start to the end of the experiment? Represent a decrease in temperature with a negative number.
Answer:
-140C
Step-by-step explanation:
∆T = T2-T1
∆T = -50-90= -140C
[tex] - 10 = 2x + 6[/tex]
how do I do this
Isaac walks 6/10 of a mile of a mile in 1/5 of an hour. If Isaac’s walking rate remains constant, what is Isaacs walking rate in miles per hour?
Answer:
3 miles per hour.
Step-by-step explanation:
To get his walking rate in miles per hour, we multiply 1/5 by its reciprocal, 5/1. We also multiply 6/10 by 5/1. This gets us 30/10 of a mile in an hour. We can simplify 30/10 to 3. This means he walks at 3 miles per hour.
Samir spent $150 at Costco. He had a coupon that took 5% off the total bill, b. What was the bill before the discount?
Answer:
157.89 is the answer
The fraction 9/7 is not a proper fraction.
true or false
Answer:
true.
Step-by-step explanation:
its an improper fraction!! have a great day :)
Answer:
true.
Step-by-step explanation:
a porcupine has a mass of 27 kg. A.
cat has a mass of 6,300 g. Which
animal has the greater mass?
Answer:
porcupine
Step-by-step explanation:
6300g = 6.3 kg
Step-by-step explanation:
the porcupine has more mass
Standard Form: 3x+4y=−16
Answer:
i know the answer
Step-by-step explanation:
solve for w. 7w=-14
please help me with this one plz
Answer: w = -2
Step-by-step explanation:
7w = -14
Divide both sides by 7
w = -2
That was brief but hope it helps!
Answer:
W = -2
Step-by-step explanation:
7W÷7 -14÷7
W= -2
Solving One Step Equations. SHOW YOUR WORK
14b = -56 solve for b
Answer:
b=-4
Step-by-step explanation:
basically divide both sides by 14 which equal -4
The solution to the equation 14b = -56 is b = -4.
To solve the equation 14b = -56 for b, we can divide both sides of the equation by 14 to isolate the variable b.
14b ÷ 14 = -56 ÷ 14
Simplifying:
b = -56 ÷ 14
b = -4
Therefore, the solution to the equation 14b = -56 is b = -4.
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Please help explain how to do this
Answer:
Any number that isn't 3.
Step-by-step explanation:
Any other number should work, so I'll just show you what happens if you use 3.
2(3x - 2) = 6x + 5
6x - 4 = 6x + 5
-4 ≠ 5
As you are aware, that would make it no solution hence why it can't be used.
Find the exact length of the third side
Answer:
9.9
Step-by-step explanation:
3y-z ; use y=6 and z=6
Answer:
12
Step-by-step explanation:
y = 6; z = 6
3y - z = 3(6) - 6 = 18 - 6 = 12
Answer:
12
Step-by-step explanation:
3y-z is asking 3 x 6 - 6, which equals 12
(3 x 6 = 18 and 18 - 6 = 12)
I NEED HELP PLEASE I DON’T WANT TO FAIL PLEASE PLEASE HELP ME
a first number plus twice a second number is 4. twice the first number plus the second number totals 26. find the numbers
Answer:
a = 16
b = -6
Step-by-step explanation:
a + 2b = 4
2a + b = 26
2a + 4b = 8
2a + b = 26
3b = -18
b = -6
a + 2(-6) = 4
a - 12 = 4
a = 16
