The number f of miles a helicopter is from its destination x minutes after takeoff is given by f (x)=40-2x. The number f of miles a commercial jet is from its destination x minutes after takeoff is shown in the graph below.
Answers
Answer:
Step-by-step explanation:
Function 'f' represents the number of miles (y-values) covered by the helicopter in 'x' (x-values) minutes.
f(x) = 40 - 2x
For x = 0,
f(x) = 40 miles
For f(x) = 0,
0 = 40 - 2x
x = 20 minutes
This shows that helicopter traveled 40 miles in 20 minutes.
Similarly, given graph shows distance covered by the jet on y-axis and duration of flight on x-axis.
For x = 0,
f(x) = 500 miles
For f(x) = 0,
x = 100 minutes
Commercial jet traveled 500 miles in 100 minutes.
The total distance and time taken for each flight are illustrations of intercepts.
The helicopter traveled 40 miles in 20 minutesThe commercial jet traveled 500 miles in 100 minutesWe have:
[tex]x \to[/tex] minutes
[tex]f(x) \to[/tex] miles
Helicopter
[tex]f(x) = 40 - 2x[/tex]
Set f(x) to 0, to calculate the x-intercept
[tex]0 = 40 - 2x[/tex]
Collect like terms
[tex]2x = 40[/tex]
Divide by 2
[tex]x =20[/tex]
Set x to 0, to calculate the y intercept
[tex]f(x) = 40 - 2x[/tex]
[tex]f(0) = 40 - 2 \times 0[/tex]
[tex]f(0) = 40[/tex]
This means that, the helicopter traveled 40 miles in 20 minutes
Commercial Jet
From the graph, the intercepts are:
[tex](x_1,y_1) = (100,0)[/tex] --- the x-intercept
[tex](x_2,y_2) = (0,500)[/tex] --- the y-intercept
This means that, the commercial jet traveled 500 miles in 100 minutes
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Related Questions
Please help ASAP!!!!!!!
Answers
Answer:
The answer is B
Step-by-step explanation:
if p(x)=6x-3x^2+5 find p(-1)
Answers
Explanation:
p(x) = 6x-3x^2+5
Find p(-1):
P(-1) = 6(-1) - 3(-1)^2 + 5
= -6 - 3 + 5
= -9 + 5
= -4
Therefore, P(-1) = -4
Will give brainliest The table represents the recommended exercise intensity for an aerobic program based on the number of visits since beginning the program. A 2-column table with 6 rows titled Intensity of Exercises. The first column is labeled Number of Visits with entries 1, 2, 3, 4, 5, 6. The second column is labeled Exercise Intensity with entries 60%, 60%, 60%, ?, ?, ?. The program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits? Select three options. 63%, 63%, 63% 66%, 69%, 72% 66%, 62%, 58% 63%, 65%, 67% 67%, 72%, 77%
Answers
Answer:
The answers are B, D, E
B.) 66%, 69%, 72%
D.) 63%, 65%, 67%
E.) 67%, 72%, 77%
Step-by-step explanation:
I just took the test and got it right
Hopefully this helps you
pls mark brainlest
Answer:
B,D, and E
Step-by-step explanation:
For a field trip 11 students rode in cars and the rest filled eight buses. Which equation below will help you find how many students were in each bus if 315 students were on the trip? 11x + 8 = 315 315 + 8x = 11 8x + 11 = 315
Answers
Answer:
8x + 11= 315
Step-by-step explanation:
Let x = the number of students in a bus
There are 8 buses
8x is the number of students in buses
There are 11 students in cars
Add this together to get all the students, which is 315
8x + 11= 315
Answer:
8x + 11 = 315
Step-by-step explanation:
Note: There are 315 students in all. The expression being created will equal this amount.
11 of the students rode in cars, so they will be excluded from the bus amount. Add those at the end (+11).
It is given to us that there are 8 buses in all. You are solving for the amount of students in each bus, which is signified by x. As there are 8 buses, you will multiply the two together: 8x
8x + 11 = 315 is your answer.
~
What is the answer to 3x2 4x3y 5y2 =
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{60 {x}^{5} {y}^{3}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{3 {x}^{2} \times 4 {x}^{3} y \times 5 {y}^{2} }[/tex]
Multiply the numbers and variables separately
[tex] \longrightarrow{ \sf{(3 \times 4 \times 5) \times {x}^{2} \times {x}^{3} \times y \times {y}^{2} }}[/tex]
[tex] \longrightarrow{ \sf{60 \times {x}^{2} \times {x}^{3} \times y \times {y}^{2} }}[/tex]
Add the powers of the variables with same base
[tex] \longrightarrow{ \sf{60 \times {x}^{2 + 3} \times {y}^{1 + 2}}} [/tex]
[tex] \longrightarrow{ \sf{60 {x}^{5} {y}^{3} }}[/tex]
Hope I helped!
Best regards! :D
Find the mean absolute deviation of the set of data. 2, 4, 4, 6, 8? PLEASE NOW
Answers
Answer:
1.76
Step-by-step explanation:
The mean absolute deviation of the set of data. 2, 4, 4, 6, 8 is 1.76.
How to calculate the mean absolute deviation?Firstly, we need to calculate the mean of the numbers. This will be:
= (2 + 4 + 4 + 6 + 8)/5
= 24/5
= 4.8
The absolute deviation from the mean will be:
= (2.8, 0.8, 0.8, 1.2, 3.2).
Therefore, mean absolute deviation of the set of data will be:
= (2.8 + 0.8 + 0.8 + 1.2 + 3.2)/5
= 1.76
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How many hours are there in a week?
Answers
Answer:
168 hours
Step-by-step explanation:
You need to put your reindeer, Ezekiel, Lancer, Rudy, and Jebediah, in a single-file line to pull your sleigh. However, Jebediah and Rudy are best friends, so you have to put them next to each other, or they won't fly.
Answers
Answer:
Well to start out you have 5 reindeer. If you glue Lancer and Ezekiel together you only have 4 units to arrange in different orders. That number is 24. But for each of those, Lancer and Ezekiel can be arranged in two ways... with Lancer in front of the pair or in the back of the pair. So altogether there are 48 ways to arrange the five reindeer with Lancer and Ezekiel always being together.
Answer:
Put Jebediah and Rudy in the back of the line next to each other, and the 2 others single file in front
Step-by-step explanation:
More weight in the front makes them fall.
The coordinates of point T are (0,3). The midpoint of ST is (4, - 7). Find the coordinates of point S.
The other endpoint is
(Type an ordered pair.)
Answers
Answer:
S= (8, -17)
Step-by-step explanation:
point 0 is 4 away from point 4. so add the amount of away to the midpoint, 4 and 4 is 8. 3 is -10 away from -7. so add -10 and -7 to get -17.
if i saved $500 a month how many months until i’m a millionare?
Answers
Answer:
about 2000 years or 23999.97 months
Step-by-step explanation:
1,000,000 / 500
plz i need help Find the perimeter and area of each shape. If you use a formula write it down. Show me your work. 1.) An 8ft by 10 ft rectangle15. 2.) A square with a side of 7in
Answers
explanation:
p=2l+2w
p=2(8)+2(10)
p=16+20
p=36
area = 80 ft^2
explanation
a=l*w
a=8 ft* 10 ft
a=80 ft^2
2) perimeter = 28
explanation:
p=2l+2w
p=2(7)+2(7)
p=14+14
p=28
area = 49 in^2
explanation:
a=l*w
a=7in*7in
a=49 in^2
Owen is an alien who only wears fractions of socks at a time. if only 4/5 of owens sock are clean, and he wears 2/5 socks a day, how many days has it been since he washed all his socks? simplify your answer and write it as a proper fraction or as a whole or mixed number
Answers
Answer:
[tex]\dfrac{1}{2}[/tex] day
Step-by-step explanation:
Given that:
Owen who is an alien has only 4/5 of his socks clean.
and he wears 2/5 socks a day.
Out of his total 4/5 clean socks.
It will take him (4/5 ÷ 2/5) days to wash all his socks
i.e
the numbers of days since he washed all his socked is:
= [tex]\dfrac{4}{5} \div \dfrac{2}{5}[/tex]
= [tex]\dfrac{4}{5} \times \dfrac{5}{2}[/tex]
= [tex]\dfrac{1}{2}[/tex]
What’s 144 divided by 9
Answers
Answer:
16
Step-by-step explanation:
The required value of 144 divided by 9 is 16.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
We have to determine the value of 144 divided by 9.
As per the question,
⇒ 144 ÷ 9
⇒ 144 / 9
Apply the division operation, and we get
⇒ 16
Thus, the required value of 144 divided by 9 is 16.
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3. Suzie is making a large batch of cookies for her mom. The recipe calls for
423 cups of sugar. The only measuring cup she has is 13 cup. How many of
these will suzie have to fill and pour in, to equal the amount of sugar she
needs? *
Answers
Answer:
32.5
Step-by-step explanation:
Answer:
32 and a half
Step-by-step explanation:
If you divide 423 by 13, you get 32.538, meaning in order to get enough, shed half to fill the 13 cup half way up
In 20X1, Ginzel Corporation agreed to provide a client with 20 detailed marketing analyses of its client's key products for a total fee of $110,000. The fee was computed as $5,000 per report × 20 reports = $100,000, plus $10,000 to extract the necessary data from the client's system and convert it into the format Ginzel needs to do the analysis. It cost Ginzel $4,000 to complete the data extraction and conversion. As of December 31, 20X1, Ginzel has completed the conversion of the data and has completed and delivered 7 of the 20 marketing reports to the client. 1. How much revenue should Ginzel recognize in 20X1? 2. How should Ginzel account for the $4,000 in costs it incurred to extract and convert the client's data?
Answers
Answer:
$38,500$1,400Step-by-step explanation:
1. According to the Accrual Principle of Accounting, revenue should only recognized when the goods or services for which it was paid for have been delivered. In other words, revenue should only be recognized when earned.
As of December 1, 20X1, Ginzel had only completed 7 of the 20 reports so the revenue recognized should be for the completed reports alone.
Total revenue for 20 reports = $110,000
Revenue for 7 reports = 7/ 20 * 110,000
= $38,500
2. The Accrual principle also applies to expenses and states that expenses should only be accounted for when incurred. As the $4,000 relates to all the reports, it should be apportioned evenly.
The costs of extraction and conversion of data for the year should therefore be;
= 7/20 * 4,000
= $1,400
What is 1.023 time 10 with an exponent of negative 2
Answers
Answer:
102.3
Step-by-step explanation:
Convert 1.023 x [tex]10^{2}[/tex] from scientific notation.
Twenty-four crackers contain 360 Calories. Find the unit rate in Calories per cracker. The unit rate in Calories per cracker is
Answers
What is the coefficient in the term 24y?
Answers
Answer:
24
Step-by-step explanation:
a jar is filled with 1000 jelly beans . A random sample of 15 is taken from the jar and it is found to contain 2 black , 4 green , 6 red , and the rest orange . Of the 1000 jelly beans in the jar. The expected number of black jelly beans and orange jelly beans respectively be :
A. 267,200
B. 257,300
C. 133,300
D. 133, 200
Answers
The answer would be B. 257,300
Find the 9th term of the geometric sequence whose common ratio is 1/2 and whose first term is 4.
Answers
Answer:
The 9th term is 1/64.
I hope it is correct ✌️
1) 21 + 36 - 15 ÷ 3 2) 51 ÷ 3 - 4 x 3
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Answer:
1)52
2)5
Step-by-step explanation:
use PEMDAS
1) 21+36-15÷3. 2) 51÷3-4×3
15÷3= 51÷3=17
21+36-5. 17-4×3=12
21+36= 17-12=
57-5= 5
52.
Just solved it my self
Is this right? I just need to make sure. :)
Answers
Answer:
Yes, you are 100% correct! Good job!!!
Step-by-step explanation:
Answer: B
Step-by-step explanation:
To solve this problem, we need to understand y-intercepts and slope.
Looking at the problem, we can automatically eliminate C and D. The graph has a negative slope because it is going down.
Now, let's look at the y-intercept. We see that the graph passes the y-axis at 1. Therefore, B is the correct answer.
Find the midpoint m of z1= (7 + 2i) and z2= (1 + 5i).
Answers
Answer:
the mid
Step-by-step explanation:
(-1.5, -5)
HELP HELP HELP HELP HELP
Answers
Answer:
a: [tex]-20+12y[/tex]
Step-by-step explanation:
[tex]10-6\left(5-2y\right)[/tex]
Expand:
[tex]10-6* \:5-\left(-6\right)* \:2y[/tex]
[tex]10-6* \:5+6* \:2y[/tex]
[tex]10-30+12y[/tex]
Subtract:
[tex]-20+12y[/tex]
Your question has been heard loud and clear.
10-6(5-2y) = 10 - 30 +12y = -20+12y.
(All you have to do is multiply -6 with 5 and -2y , then simplify the equation)
Thank you
What is 2/5 divided by 1/6 HELPPPPP
Answers
Answer: 2.4 as a decimal or 12/5 in fraction form
While shopping at a clearance sale Samantha find $60 dress on sale for 25% off Samantha also has 50% off coupon which statement correctly summarizes her savings
Answers
Answer:A samantha will save 45$ because the two sales will combine for 75% off the original cost.
Step-by-step explanation:
I took the test hope this helps
Answer:
Option B
(B) Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction
Step-by-step explanation:
If two alternate angles are formed on parallel lines, they are said to be______
a. complementary
b. equal
c. supplementary
d. transversal
Answers
Answer:
b
Step-by-step explanation:
equal. where are you from?
If two alternate angles are formed on parallel lines, they are said to be b) equal.
Parallel lines are lines that never intersect, they are at equal distance from each other forever. If passed a transversal between the two parallel line, the angles forming have many relations like corresponding angles, alternate angles, co - interior angles or co - exterior angles.
Given in the question, we have alternate angles, maybe interior of the parallel lines or maybe exterior of the parallel line, but always on the opposite side of transversal. But, alternate angles are always equal to each other.
Thus option b is correct.
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What is the slope of the line below? pls help !!
Answers
Answer:
E
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (7, - 5) and (x₂, y₂ ) = (14, - 7) ← 2 points on the line
m = [tex]\frac{-7+5}{14-7}[/tex] = - [tex]\frac{2}{7}[/tex] → E
Q is the midpoint of line PR. PQ = 2x +1 and QR = 5x -44. Find PQ.
PQ =
Answers
Answer:
Step-by-step explanation:
2x + 1 = 5x - 44
-3x + 1 = -44
-3x = -45
x = 15
2(15) + 1 + 5(15) - 44
30 + 1 + 75 - 44
31 + 31 = 62
Can someone please help me?
Answers
Answer:
This might help u......
