Step-by-step explanation:
1. 0.08703 killograms
2. Decameters
3. Liters
Answer:1. 0.08703 killograms
2. Decameters
3. Liters
Step-by-step explanation:
Ryan ran for 10 minutes today. He plans to increase his running time by
2 minutes every day until he reaches 30 minutes. How many more days will
it take before Ryan is running for 30 minutes?
Answer:
10 days
Step-by-step explanation:
if hes started off with 10 minutes and wants to get to 30 by adding 2 minutes each day itll take him 10 days
The figure shows line , , and intersecting to form angles numbered , , , , , and . All three lines lie in the same plane. Based on the figure, which of the individual statements would provide enough information to conclude that line is perpendicular to line ?
.
∠2 = 90°
∠6 = 90°
∠3 = ∠6
∠1 + ∠4 = 90°
∠4 + ∠5 = 90°
Answer:
Options A and D are your answers.
m∠6=90°
m∠4+m∠5=90°
\(-----------\)
hope it helps...
have a great day!!
Help ASAP!
Question 1:
Check attached file for question 1
Question 2:
A new lake was populated with a small number of trout. The number of trout in the lake can be modeled by the function: P(t)=740 / 1+73e^−0.07 where t is the number of months since the population of trout was first introduced. Round all answers to the nearest whole number
A. what is P(0)= I got 10
B. What does the answer from part A tell us about the trout population?
C. How many trout were in the lake after 1 year?
D. How many trout were in the lake after 10 years?
E. lim t→∞P(t)= I got 740
F. What does the answer from part E tell us about the trout population?
The answer from part A tells us that the trout population was 10 in the first month after it was introduced.
How solve the problem?A. P(0) = 740 / (1 + 73e^-0) = 740 / (1 + 73) = 740 / 74 = 10, so the answer is 10.
B. The answer from part A tells us that the trout population was 10 in the first month after it was introduced.
C. To find the number of trout in the lake after 1 year, we need to find P(12): P(12) = 740 / (1 + 73e^-0.07*12) = 740 / (1 + 73e^-0.84) ≈ 490, so the answer is 490.
D. To find the number of trout in the lake after 10 years, we need to find P(120): P(120) = 740 / (1 + 73e^-0.07*120) = 740 / (1 + 73e^-8.4) ≈ 740, so the answer is 740.
E. lim t→∞ P(t) = 740, so the answer is 740.
F. The answer from part E tells us that as the number of months t approaches infinity, the trout population will approach 740. This means that the trout population will eventually stabilize at 740 if no other factors such as predators, disease, or lack of food affect the population.
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A cyclinder has a volume of 703Pi cm3 and a height of 18.5 cm. What can be concluded about the cyclinder? Check all that apply. The formula for the volume of a cyclinder can be applied to find the area of the base. To find the area of the base, multiply volume and height. The radius of the cyclinder is half the height. The area of the base is 38Pi cm2. To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.
The answer are A,D,and E
Answer:
A. The formula for the volume of a cyclinder can be applied to find the area of the base.
D. The area of the base is 38Pi cm2.
E. To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.
I hope this helped
PLEASE HELP!! What is the surface area of the cone?
The slope of a line on the coordinate plane can be calculated using any two points on the line and one outside point.
O True
O False
Answer:
true i think
Step-by-step explanation:
what is the answer to d = -f + 2/3a
Answer:
For f = -d +2/3a
Step-by-step explanation:
The box is a rectangular prism. He covered all the sides with the of the box with special wallpaper that cost a total of $504. How much wallpaper cost per square foot length is 6 feet width is 5 feet and height is 3 feet.
The cost of the wallpaper per square foot is $4.
To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.
The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.
The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.
The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.
The total surface area of the box is 36 + 30 + 60 = 126 square feet.
Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.
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Drag the item from the item bank to its corresponding match.
Match the prism or cylinder with its volume.
Answer:
i cant help you because i cant see the things on the picture if u get a better picture i can help
Step-by-step explanation:
PQR is right-angled triangle.calculate the soze of the angle marked correct.
How to simplify this:
Arcctg(tg(x) )
The expression arcctg(tg(x)) simplifies to arcctg(tan(x)).
To simplify the expression arcctg(tg(x)), we can apply trigonometric identities and properties.
The function arcctg(x) is the inverse cotangent function, which is the angle whose cotangent is x. Similarly, tg(x) represents the tangent function.
First, let's simplify the expression inside the arcctg function, which is tg(x):
tg(x) = sin(x) / cos(x)
Now, we can substitute this value into the original expression:
arcctg(tg(x)) = arcctg(sin(x) / cos(x))
Using the property of inverse trigonometric functions, we can rewrite this as:
arcctg(sin(x) / cos(x)) = arcctg(1 / tan(x))
Now, we can simplify further using the identity:
1 / tan(x) = cot(x)
Therefore:
arcctg(1 / tan(x)) = arcctg(cot(x))
Using another identity, we know that the cotangent function is the reciprocal of the tangent function:
cot(x) = 1 / tan(x)
Therefore, we can simplify the expression to:
arcctg(cot(x)) = arcctg(1 / tan(x)) = arcctg(tan(x))
Finally, we arrive at the simplified expression:
arcctg(tg(x)) = arcctg(tan(x))
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Select a letter for the correct ans
A cone-shaped vase has a height of 15 centimeters and a diameter of 8 centimeters.
What is the volume of the vase? Round to the nearest tenth.
Answer just
Answer:
251.4cm² is the area of the cone-shaped vase.
It is expected that 30% of the criminals in our prisons are violent offenders, 65% are nonviolent, and 5% are actually innocent. A sample of 300 inmates showed that 90 were violent offenders, 200 were nonviolent, and 10 were innocent. At the .05 significance level, can we conclude that the observed frequencies are different than the expected frequencies?
There are multiple parts in this. Please don’t forget to mention what goes inside the bubble.
Given
241 people were surveyed
182 own a cat
66 own a dog
39 own both a cat and a dog
The Venn diagram illustrating the the results of the survey is shown below:
The simplified version of the Venn diagram:
The number of people that own a cat but not a dog
\(\begin{gathered} =\text{ Number of people that own a cat - Number of people that own both} \\ =\text{ 182-39} \\ =\text{ 143} \end{gathered}\)Answer: 143
Number of people that own a cat or a dog or both
\(\begin{gathered} =\text{ Number of people that own a cat only + Number of people that own a dog only + Number of } \\ people\text{ that own both} \\ =\text{ 143 + 27 + 39} \\ =\text{ 209} \end{gathered}\)Answer: 209
the value of a baseball players rookie card was $7.46 it then began to increase once the player retired in 1996. The value increased by $2.52 each year since then. Part A. how much was the baseball card worth in 1997? and then in 1998 and 1999?
Answer:
In 1997, the baseball card would be worth $7.46 + $2.52 = $9.98.
In 1998, the baseball card would be worth $9.98 + $2.52 = $12.50.
In 1999, the baseball card would be worth $12.50 + $2.52 = $15.02.
Step-by-step explanation:
In this problem, we are given the value of a baseball card in 1996, which is $7.46. We are also told that the value of the card increases by $2.52 each year since then. This means that in 1997, the value of the card increased by $2.52 compared to its value in 1996, so the value in 1997 would be $7.46 + $2.52 = $9.98. Similarly, in 1998, the value of the card increased by another $2.52 from its value in 1997, so the value in 1998 would be $9.98 + $2.52 = $12.50. In 1999, the value of the card increased by another $2.52 from its value in 1998, so the value in 1999 would be $12.50 + $2.52 = $15.02.
tips for success read the assignment carefully and make sure you answer each part of the question or questions. check your work when you're done. your assignment jane is training for a triathlon. after swimming a few laps, she leaves the health club and bikes 16 miles south. she then runs 12 miles west. her trainer bikes from the health club to meet jane at the end of her run.
Jane continues her triathlon training by swimming, then biking 16 miles south and running 12 miles west. Her trainer meets her at the end of the run.
Jane has traveled a total of 28 miles - 16 miles biking and 12 miles running.
Jane is training for a triathlon and is putting in the work to reach her goal. After swimming a few laps in the health club, she bikes 16 miles south. She then runs 12 miles west, bringing her total distance to 28 miles. When she has finished her run, her trainer meets her to check on her progress and offer support for her continued success. Jane's hard work and dedication to her training is admirable and demonstrates her commitment to completing her triathlon. The support from her trainer will be invaluable in helping her reach her goal.
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What is the 24th term of -21, -14,-7,0,7,…
Answer:
140
If that's wrong, try 147
Step-by-step explanation:
With this brief sequence of numbers, we can see that the function is linear, and increases by 7 each term, with the first term at -21, and therefore, the "0th" term, or the y-intercept, at -28. With this information we can create a function in slope intercept form (y=mx+b):
\(y=7x-28\\\),
where our m (slope) is 7, and our b (y-intercept) is -28.
If this doesn't make sense, then the easiest way is to just keep adding seven to the previous number until you get to the 24th term.
Hope this helps!
The population of a pigeons in a city is
7000 and is growing exponentially at 19%
per year. Write a function to represent the
population of pigeons after t years, where
the quarterly rate of change can be found
from a constant in the function. Round all
coefficients in the function to four
decimal places. Also, determine the
percentage rate of change per quarter, to
the nearest hundredth of a percent.
Answer: p(t) = 100×1.0153^(12t)
1.53% per month
In general, the function will be written ...
p(t) = (initial value)×(growth factor)^t
where t is in units comparable to those applicable to the growth factor. The growth factor is found from ...
growth factor = 1 + growth rate
Here, the growth rate is given as 20% per year, so the growth factor per year is ...
1 +20% = 1.20
The initial value is given as 100, so we can write the exponential function as ...
p(t) = 100×1.20^t
__
The time period units for t are supposed to be years, but we want to find the growth rate for a month. We can do that by recognizing there are 12 months in a year. In the above equation, we can use (1/12)(12t) in place of t, then figure the growth factor (and growth rate) per month.
p(t) = 100×(1.20^(1/12))^( 12t)
p(t) = 100×1.0153^(12t) . . . . population exponential function
This shows the monthly growth factor is 1.0153, so the monthly rate of change (growth rate) is ...
1.0153 -1 = 0.0153 = 1.53% . . . . monthly rate of change
Step-by-step explanation:
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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HELP WILL GIVE 20 points!
Each unit on the graph is equal to one block how many blocks does Ben need to walk from his house to reach the museum? HELP
Answer:
D.
Step-by-step explanation:
He has to walk down 3 blocks and right 10
How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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Find the length of FG.
The length of FG chord is 5 units.
What bout chord?
A chord is a line segment that joins two points on the circumference of a circle. More specifically, a chord is a straight line that intersects a circle at two points, and the segment of the line between these two points is called a chord.
The length of a chord can be calculated using the Pythagorean theorem, given the radius of the circle and the distance between the two points on the circumference. The length of a chord is always less than or equal to the diameter of the circle.
Chords have various applications in geometry, trigonometry, and calculus. For example, in trigonometry, the chord function is defined as the ratio of the length of a chord to the radius of the circle. In calculus, chords are used in the definition of the derivative, which is the slope of the tangent line to a curve at a given point.
According to the given information:
2(x + 2 )= ( 5 x - 5 )
2x + 4 = 5x -5
9 = 3x
3 = x
The length of FG is = x+2 = 3+2 = 5 units
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The length of FG chord is 5 units.
What bout chord?
A chord is a line segment that joins two points on the circumference of a circle. More specifically, a chord is a straight line that intersects a circle at two points, and the segment of the line between these two points is called a chord.
The length of a chord can be calculated using the Pythagorean theorem, given the radius of the circle and the distance between the two points on the circumference. The length of a chord is always less than or equal to the diameter of the circle.
Chords have various applications in geometry, trigonometry, and calculus. For example, in trigonometry, the chord function is defined as the ratio of the length of a chord to the radius of the circle. In calculus, chords are used in the definition of the derivative, which is the slope of the tangent line to a curve at a given point.
According to the given information:
2(x + 2 )= ( 5 x - 5 )
2x + 4 = 5x -5
9 = 3x
3 = x
The length of FG is = x+2 = 3+2 = 5 units
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consider that angle DEF is similar to angle GHI and the measure of angle E is 58 degrees. What is the measure of angle H?
Answer:
I am not sure but, since they are in the same place when writing it out, it should be the same.
Step-by-step explanation:
Answer:
58 degrees
Step-by-step explanation:
i have this same question on usa test prep i took the test
Write the percent of Venus's diameter compared to the Sun's diameter as a decimal.
Answer:
0.87%
Had to search diameter of Sun and Venus
Plz mark branliest
On a test that has a normal distribution, a score of 29 falls three standard deviations above the mean, and a score of 23 falls one standard deviation above the mean. Determine the mean of this test.
The mean of the test is 20.
To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.
Let's denote the mean of the test as μ, and the standard deviation as σ.
We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:
29 = μ + 3σ
Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:
23 = μ + σ
Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.
From the second equation, we can isolate μ:
μ = 23 - σ
Substituting this value into the first equation, we have:
29 = (23 - σ) + 3σ
Simplifying the equation, we get:
29 = 23 + 2σ
2σ = 29 - 23
2σ = 6
σ = 3
Substituting the value of σ back into the second equation, we find:
μ = 23 - 3
μ = 20
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A plane leaves an airport at noon flying due south at 900 km/h. That same day, another plane is flying due east toward the
airport at 600 km/h.
If the incoming plane is 2000 km away from the airport at 4 pm, what is the rate of change of the distance between the planes?
The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.
The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.
the distance between the two planes is represented by the variable D, and time is represented by the variable t.
At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.
Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.
To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:
D^2 = (2000 km)^2 + (3600 km)^2
Simplifying the equation:
D^2 = 4000000 km^2 + 12960000 km^2
D^2 = 16960000 km^2
Taking the square root of both sides:
D = sqrt(16960000) km
D = 4120 km
Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time
dD/dt = 0
Since the distance between the planes is constant, the rate of change is zero.
Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.
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Pls help urgently extra points and mark brainlist easy reading
Answer: ravenous is a adjective
Step-by-step explanation: its the right answer giev me brainlist
The average (A) of two numbers, m and n, is given by the formula A = m+t/2 . Find
the average of the two numbers 36 and 72.
The solution is
Answer:
\(54\)
Step-by-step explanation:
Formula for average A of two numbers m and n is:
\(A=\frac{m+n}{2}\)
Substitute the value m=36 and n=72
\(A=\frac{36+72}{2}\)
This is equivalent to:
\(A=\frac{108}{2}\)
The average is:
\(A=54\)
Does this graph represent a function? Why or why not?
Answer:
No, because it fails the line test.
Step-by-step explanation:
The line test is a test to tell whether or not a graph represents a function. If the line passes through the graph at one point, it is a function. x's length is at least 8, which means the line would cut through more than one point. Therefore, it is not a function.
How can you check if a line belongs to a plane (Cartesian equation of the line and the equation of the plane is given)?