Answer
152.6~
Step-by-step explanation:
The function y = -16x2 + 1500 gives a parachute jumper's height y in feet
after "X" seconds for a jump from 1500 feet. How long is free fall if the
parachute opens at 1100 feet?
Answer:
Step-by-step explanation:
so the question is asking about the time from 1500 feet to 1100 feet. How long did they fall, w/o a parachute. aka "freefall" so, at 1500 feet the jumper is really at time zero. so, plug in to the formula
1100 = -16\(x^{2}\) +1500
( x represents seconds so i'll change it to t so we know it's time )
1100 = -16\(t^{2}\) + 1500
now we can solve for t , to see how long the jumper falls
-400 = - 16\(t^{2}\) ( subtracting 1500 from both sides of equation )
25 = \(t^{2}\) ( dividing both sides by -16 )
oh.. look at how nice that turns out.. :)
\(\sqrt{25}\) = t ( take the square root on both sides )
5 = t
the jumper fell for 5 seconds to get to 1100 feet
(b) Explain why the following proportion would solve for the length of AC below.
The length of the arc is solved to get the proportion
= x / 12π = 130 / 360
this proves that the proportion would solve the arc length
How to find the length of arclength of arc is calculated using the formula given below
= (given angle) / 360 x 2 π r
Where
x is length or arc
r is radius = 6 in
given angle = 130 degrees
then substituting into the formula
x = (given angle) / 360 x 2 π r
x = 130 / 360 * 2 * π * 6 in
x = 130 / 360 * 12π
dividing both sides by 12π
x / 12π = 130 / 360 (this equals the given proportion)
but solving for x
x = 13.61 in
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If diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building? round the answer to the nearest tenth of a foot. 10.3 ft 17.6 ft 30.2 ft 97.2 ft
Answer:
17.6 ft
Step-by-step explanation:
tan 37 = 130/x
x = 130/tan 37 = 130/0.7536 = 172.5 feet
tan 40 = 130/y
y = 130/tan 40 = 130/0.8391 = 154.9
172.5 - 154.9 = 17.6 ft
Answer:
17.6 Ft
Step-by-step explanation:
Geometry B E2020!! :3
How many times greater is 700,000 than 70,000??
Answer:
10 times greater hun
Step-by-step explanation:
70000 times 10 equals 700000
Answer:
10 times greater.
Step-by-step explanation:
700,000 / 70,000 = 700 / 70 = 70 / 7 = 10 / 1 = 10
So, 700,000 is 10 times greater than 70,000.
Hope this helps!
imran s father is 50 years old and Imran is 2 years old now . how many years ago was Imran s father was three times as old as him
Answer:
25
solution
50=3x
or, 50/3=x
or, x=16.66
hence,imran father will 16 years
The shoe sizes of 30 people are recorded in the table below, but one of the
frequencies is missing.
Shoe size Frequency
11
3
4
5
A
7
Answer: A=12
Step-by-step explanation:
Shoe Sizes: Frequency:
3 11
4 A
5 7
The frequency is how many people have the shoe sizes. For example, 11 people have shoe size 3, and 7 people have shoe size 5. Since 30 people's shoe sizes were recorded, 30 - (11+7) will be the answer.
30 will be from the 30 people whos shoe sizes were recorded. The 11 will be from the people with shoe size 3, and the 7 will be from the people with shoe size 5. So, 30 - 18 = 12.
12 people have shoe size 4.
Why is an exact answer not necessary for some math problems?
Answer:
Because it can make the problem harder
In maths, if there is a question that has a decimal for example like 33.33333333, then that will make the problem harder to perform, that's why, it's not necessary to take the exact answer for some problems. BUT, IF IT SAYS TO TAKE THE EXACT ANSWER, THEN YOU HAVE TO.
Thanks!
Mark me brainliest!
centimeters and its horizontal length is 3 meters. What calculation will give us the estimated length of the ramp in meters? Choose 1 answer: 302 (A 1 1002 + 32 B V302 + 32.1002 302. 1002 + 32 D 32 302 + 1002
DATA
Horizontal length = 3 meters
Height = 30 cm = 3/10 meters
Then procedure
Length of ramp in meters = √(Horizontal)^2 + Height^2)
Lenght of ramp = √(3/10)^2 + 3^2
Looking at
kingda ka in new jersey is the tallest and fastest roller coaster in the world. riders travel at an average speed of 61 feet per second for 3118 feet. They reach a maximum speed of 187 feet per second.
a. if x represents the total time that the roller coaster is in motion for each ride, write an expression to represent the situation.
b. how long is the roller coaster in motion?
Answer:
(a) 3118=61*t
(b) The amount of time the roller coaster is in motion is 51.11 seconds.
Step-by-step explanation:
Speed is a magnitude that expresses the relationship between the space traveled by an object, the time used for it and its direction. In other words, speed is associated with the change in position of a body over time and can be expressed as:
\(speed=\frac{distance}{time}\)
Then the distance traveled can be expressed as:
distance=speed*time
(a) If x represents the total time that the roller coaster is in motion for each ride, the average speed is 61 feet per second and the distance is 3118 feet then the expression to represent the situation is:
3118=61*x
(b) To calculate the amount of time the roller coaster is moving, you simply need to solve the expression found in (a). Dividing 61 to both sides:
\(\frac{3118}{61} =\frac{61*x}{61}\)
51.11 seconds=x
The amount of time the roller coaster is in motion is 51.11 seconds.
Which situation would not be represented by the integer -9?
a hole 9 feet deep
9 dollars withdrawn from the bank
a football pass of 9 yards
a temperature of 9° below zero
Names of TV shows taped in New York are an example of which type of data? Answer a. Qualitative b. Statistic c. Quantitative d. Parameter
Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.
It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.
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Trina deposited $8,060 in a savings account 6 years ago. The simple interest rate on the account is 2%. What is the amount of interest that Trina earned at the end of 6 years? Answer value
Answer:I = PRT
PRT = I
R = I/PT
R = 3224/(8060)(5)
R= 8%
Step-by-step explanation:
this maybe the answer sorry if it isn’t
Answer:
967.2 is the total interest earned
Step-by-step explanation:
First determine what the interest rate is for each year
8060 x .02 = 161.2
Since it is simple interest the interest wont build on the additional amount so then find out how much total you'd make from interest
161.2 x 6 = 967.2
In a standard deck of cards, what is the probability of drawing a red card or a face card?
Answer:
3/26
Step-by-step explanation:
6 of the 52 cards are red
How do you convert cm into mL?
Answer:divideing by the whole number
Step-by-step explanation:
PLS QUICK!!
Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
Find the common domain of F and G.
{2, 4, 6}
{1, 4, 6, 8}
{0, 2, 4, 6}
Answer:
A. {2, 4, 6}----------------------
Domain is the set of the first points of ordered pairs.
The domain of F is:
{0, 2, 4, 6}and the domain of G is:
{2, 4, 5, 6, 7}The common domain of the both sets is:
{2, 4, 6}This is matching the option A.
which of the following ratios correctly calculates the mape? multiple choice question. rsfe / mad rsef / (average demand) mad / (average demand) (average demand) / mad
The correct ratio to calculate MAPE is mad / (average demand).MAPE (Mean Absolute Percentage Error) is used to calculate the average percentage difference between actual and forecasted demand. It can be represented by the following formula:
MAPE = (1/n) * ∑(|actual demand - forecast demand| / actual demand) * 100
Where n represents the number of observations or time periods. In this case, MAD (Mean Absolute Deviation) is calculated by finding the absolute difference between actual demand and forecast demand. Then, the average of these absolute differences is taken to calculate the MAD. MAD is used as the denominator in the MAPE formula to calculate the average percentage error.
The other options listed are incorrect because:rsfe / mad: This ratio will not give the correct answer because the numerator (RSFE) is not used in the MAPE formula.rsef / (average demand): This ratio does not use MAD in the denominator and is therefore not a correct way to calculate MAPE.(average demand) / mad: This ratio is the reciprocal of the correct option (c), and therefore, will give the incorrect answer. Therefore, the correct ratio to calculate MAPE is mad / (average demand).
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Mamadou surveyed 500 of his students in his school about their favorite color students could choose between blue and red 390 students said their favorite color was red what percentage of the surveyed students said they favorite color was red
Answer:
78%
Step-by-step explanation:
a percentage is equivalent to a number over 100.
43% is 43/100
72% is 72/100
87% is 87/100
etc.
to find the percentage of students who said their favorite color is red, we need to set up a cross-multiplication equation
390/500 = ?/100
390 times 100 is 39000
39000/500 = 78
78% of the students said their favorite color is red
give brainliest please!
hope this helps :)
Please help with this it is due today
Answer:
24
Step-by-step explanation:
Captain Jim is going to load his pirate ship with barrels. He has room for 12 barrels. He has allotted for 103 pounds of barrels on his ship. He can choose from 8-pound barrels (the variable a) or 11-pound barrels (the variable b). Which equations would be a constraint to Captain Jim maximizing his barrel load?
Answer:
8a = 103 - 11b
Step-by-step explanation:
Given that:
Number of barrels = 12
Pounds of barrel = 103 pounds
Available barrel options
a = 8 pound barrel
b = 11 pound barrel
Number constaint;
a + b = 12
Pounds of barrel constraint ;to mazimize barrel load ;
(8*a) + (11*b) = 103
8a + 11b = 103
8a = 103 - 11b ; 11b = 103 - 8a
plz answer asap only if you are correct!
Answer:
i am correct :))))))))))) hope this helped
£100 is deposited in a bank paying 2.25% simple interest per annum. How much interest will have been paid after 5 years
Answer:
£11.25
Step-by-step explanation:
I = P * R * T
Where,
I = simple interest
P = principal = £100
R = interest rate = 2.25%
T = Time = 5 years
I = P * R * T
= 100 * 2.25% * 5
= 100 * 2.25/100 * 5
= (100 * 2.25 * 5) / 100
= 1,125/100
= 11.25
I = £11.25
One of the tallest ferris wheels in the world is in las vegas. It has a diameter, , of 520 feet. The circumference of the ferris wheel represents the distance traveled by a passenger after one full rotation. The circumference can be determined using the expression. What is the distance traveled, in feet, by passengers on each rotation of the ferris wheel? record your answer to the nearest tenth of a foot.
Answer:
Below
Step-by-step explanation:
Circumference of a circle = pi * diameter
circumference of ferris wheel = 3.14159 * 520=1633.6 ft
What percent of 80 is 48? Round your answer to the nearest hundredth if necessary.
Answer:
60%
Step-by-step explanation:
Machine A can label 11 bottles in 1 minute. Machine B can label 14 bottles in 1 minute. How many bottles can both machines label in 15 minutes?
Answer:
Machine 1: 165
Machine 2: 210
Step-by-step explanation:
Machine 1: 11 bottle per minute
11 * 15 = 165 labeled bottles per minute
Machine 2: 14 bottles per minute
14*15 = 210 labeled bottles per minute
the general manager of a fast-food restaurant chain must select restaurants from for a promotional program. how many different possible ways can this selection be done?
The number of possible combinations will depend on the size of the restaurant chain. However, we can always use the formula nCr to calculate the number of different possible ways to select r items from a set of n items.
To determine the number of different possible ways the general manager can select restaurants for the promotional program, we need to use the formula for combinations. Let's say there are n restaurants in the chain, and the manager needs to select r restaurants for the program. The formula for combinations is:
nCr = n! / r!(n-r)!
In this case, the manager needs to select a certain number of restaurants, so r is a fixed value. Let's assume the manager needs to select 5 restaurants for the program. Then the formula becomes:
nC5 = n! / 5!(n-5)!
We don't know the value of n, but we can calculate the number of possible combinations for different values of n. For example:
- If there are only 5 restaurants in the chain, then the manager has no choice but to select all of them. In this case, there is only one possible combination.
- If there are 10 restaurants in the chain, then the manager can select any 5 of them. Using the formula, we get:
nC5 = 10! / 5!(10-5)! = 252
So there are 252 different possible ways for the manager to select 5 restaurants from a chain of 10.
- If there are 20 restaurants in the chain, then the manager has even more choices. Using the formula, we get:
nC5 = 20! / 5!(20-5)! = 15,504
So there are 15,504 different possible ways for the manager to select 5 restaurants from a chain of 20.
In general, the number of possible combinations will depend on the size of the restaurant chain. However, we can always use the formula nCr to calculate the number of different possible ways to select r items from a set of n items.
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At noon, Trevor and Kim start running from the same point. Trevor runs east at a speed of 8 km/h and Kim runs west at a speed of 6 km/h. At what time will they be 21 km apart?
Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.
To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.
Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.
Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:
Total distance = 8t + 6t
We want to find the time when this total distance equals 21 km:
8t + 6t = 21
Combining like terms, we have:
14t = 21
To solve for t, we divide both sides of the equation by 14:
t = 21 / 14
Simplifying, we find:
t = 3 / 2
So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.
Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.
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What is an equivalent form of 12(p + 5) − 11(3q + 4)?
The required expression would be 12p - 33q + 104 which is equivalent form of 12(p + 5) − 11(3q + 4).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
We have been given the expression:
12(p + 5) − 11(3q + 4)
Apply the distributive property of multiplication,
12p + 12 × 5 − 11 × 3q + 11 × 4
12p + 60 - 33q + 44
Rearrange the terms likewise and apply the arithmetic operation,
12p - 33q + 60 + 44
12p - 33q + 104
Therefore, required expression would be 12p - 33q + 104 which is equivalent form of 12(p + 5) − 11(3q + 4).
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Answer:
C
Step-by-step explanation:
PLEASE SOMEBODY HELP
Answer:
Down below.
Step-by-step explanation:
Two rays form an angle. In this case, that angle is a 180-degree angle. It's also a line because the rays from point A are endless in either direction.
5x+3y=-9 in slope intercept
The slope-intercept form of the equation 5x + 3y = -9 is y = (-5/3)x - 3.
To rewrite the equation 5x + 3y = -9 in slope-intercept form, which is in the form y = mx + b, where m represents the slope and b represents the y-intercept, we need to solve for y.
Let's start by isolating y:
5x + 3y = -9
Subtract 5x from both sides:
3y = -5x - 9
Divide both sides by 3 to isolate y:
y = (-5/3)x - 3
Now, we have the equation in slope-intercept form. The slope of the line is -5/3, which means that for every unit increase in x, y decreases by 5/3 units. The y-intercept is -3, which means that the line intersects the y-axis at the point (0, -3).
Therefore, the slope-intercept form of the equation 5x + 3y = -9 is y = (-5/3)x - 3.
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9) Brady has a mortgage with North End Bank The bank requires that he pay his homeowner's insurance property
taxes, and mortgage in one monthly payment. His monthly mortgage payment is $1,328, his semi-annual property
tax bill is $2,987, and his quarterly homeowner's insurance bill is $334. How much does Brady pay North End Bank
each month?
Answer:
Step-by-step explanation:
The semi-annual property tax bill is $2,987 and since it is semi-annual, he pays $2,987/2 = $1,493.5 each quarter.
So, each quarter he pays $1,493.5 + $334 = $1,827.5 for property taxes and homeowner's insurance.
And, each month he pays $1,827.5/3 = $609.17 for both property taxes and homeowner's insurance.
So, the total monthly payment he pays to North End Bank is $1,328 + $609.17 = $1,937.17.