Given:
One airplane is at 7,000 feet and is descending 50 feet every second.
Another plane is at 1,000 feet and is climbing at a rate of 70 feet per second.
To find:
The time taken by planes to reach at the same height.
Solution:
Let x be the number of seconds after which the planes be at the same height.
One airplane is at 7,000 feet and is descending 50 feet every second.
Change in 1 second = -50 feet (Here negative sign means decrease)
Change in x second = -50x feet
Height of first airplane after x seconds is
[tex]f(x)=7000-50x[/tex] ...(i)
Another plane is at 1,000 feet and is climbing at a rate of 70 feet per second.
Change in 1 second = 70 feet
Change in x second = 70x feet
Height of first airplane after x seconds is
[tex]g(x)=1000+70x[/tex] ...(ii)
Equate (i) and (ii), to find the time after which both planes are on the same height.
[tex]7000-50x=1000+70x[/tex]
[tex]7000-1000=50x+70x[/tex]
[tex]6000=120x[/tex]
Divide both sides by 120.
[tex]50=x[/tex]
Therefore, both planes are at the same height after 50 seconds.
Marita always listen to her favourite radio station when she drives her car
Everymoarning she listen to her radio
Evaluate. Write your answer as a fractionin simplest form. 2 1/6 - (-8/3) + (-4 7/9)=
Answer: 1/20
Step-by-step explanation:
Students collect $24 for every 10 tickets sold. Suppose m is the amount of money the students collect for selling r raffle tickets. Write an equation that reflects the relationship between m and r
the answer is m=2.4r. I HOPE THIS HELPS YOU OUT
round each decimal to nearest whole number
23.18
) Which expressions are equivalent to 26? Choose ALL that apply.
6.6.6.6.6.6
2.2.2.2.2.2
2.6
4.16
12.12
8.8
Answer:
2x2x2x2x2x2
4 x 16
8 x 8
Step-by-step explanation:
All equal to 64.
2^6=64
The product of three positive integers is 300. If one of them is 5, what is the
least possible value of the sum of the other two?
Answer and Step-by-step explanation:
So, we are told that 3 positive integers multiply to be 300, and that one of the integers is 5.
First, we divide 300 by 5.
The result is 60.
Now, we take different (reasonable) numbers that add to 16:
10 and 6
12 and 4
We can see here that 10 and 6 are the integers because they add up to 16 and multiplies to 60.
#teamtrees #WAP (Water And Plant)
What is the inverse operation that will isolate the variable X-4=-2
A)division
B)multiplication
C)subtraction
D) addition
Jaxon is deciding between two landscaping companies for his place of business. Company A charges $45 per hour and a $150 equipment fee. Company B charges $35 per hour and a $200 equipment fee. Let
A
A represent the amount Company A would charge for
t
t hours of landscaping, and let
B
B represent the amount Company B would charge for
t
t hours of landscaping. Write an equation for each situation, in terms of
t
,
t, and determine the interval of hours,
t
,
t, for which Company A is cheaper than Company B.
Answer
10 hours
Explanation
Step one:
given information
Company A
charges $45 per hour and a $150 equipment fee.
Let A represent the amount Company A would charge for t hours
So, the expression for the total is
A= 45t+150--------------------1
Company B
charges $35 per hour and a $200 equipment fee.
Let B represent the amount Company B would charge for t hours
So, the expression for the total is
B= 35t+200--------------------2
Step two:
equating the two equations above
A=B
45t+150=35t+200
collect like terms
45t-35t= 200-150
5t=50
divide both sides by 5
t=50/5
t=10
The grocery store sells orange juice in glass or plastic bottles. The glass bottles hold 5 liters of orange juice and the plastic bottles hold 1 liter of orange juice. Harper bought 46 liters of orange juice. The juice came in 14 bottles. How many of each type of bottle did she buy?
Please help me fast!!
Answer:
(8 glass bottles and 6 plastic bottles)
Step-by-step explanation:
(8 glass bottles = 40 liters) +(6 plastic bottles = 6 liter) = 46 liters of orange juice
8 bottles plus 6 bottles equals 14 bottles
all criteria is fulfilled.
Find the equation of a line that contains the points (5.-7) and (-5,5). Write the equation in slope-intercept form, using
fractions when required.
Answer:
.
Step-by-step explanation:
4x + 6y = 16
x = –8
Solve for x, y
I think the answer is yes=8
Pleaseeee help meee.
Answer:
Step-by-step explanation:
13. Match it with 54
14. Match it with 576
15. Match it with 70
16. Match it with 6
Hope this helps
(Also, do you want how the answers came up? If so please comment below this and tell me that. I would be more than happy to write the equations if you want.)
What is the slope of the ling in the graph?
Answer:
1
Step-by-step explanation:
Start at any point on the line. Go up 1 and right 1. Now you are on another point on the graph. That is rise = 1 and run = 1.
Slope = rise/run = 1/1 = 1
Answer: 1
100000+7e7e73t6r6r67r2w6r
Answer:
5.1
Step-by-step explanation:
hope this helps
A relation that is symmetric with respect to the x-axis CANNOT be a function,
Please select the best answer from the choices provided
O T
O F
Answer:
TRUE!!!
Step-by-step explanation:
Assume that you have a sample of n1=9, with the sample mean X1=46, and a sample standard deviation of S1=4, and you have an independent sample of n2=12 from another population with a sample mean of X2=31 and the sample standard deviation S2=5. Complete parts (a) through (d) below. a. What is the value of the pooled-variance tSTAT test statistic for testing H0: μ1=μ2? tSTAT=nothing (Round to two decimal places as needed.) b. In finding the critical value, how many degrees of freedom are there? nothing degrees of freedom (Simplify your answer.) c. Using a significance level of α=0.1, what is the critical value for a one-tail test of the hypothesis H0: μ1≤ μ2 against the alternative H1: μ1>μ2? The critical value is nothing. (Round to two decimal places as needed.) d. What is your statistical decision? A. Reject H0 because the computed tSTAT test statistic is greater than the upper-tail critical value. B. Reject H0 because the computed tSTAT test statistic is less than the upper-tail critical value. C. Do not reject H0 because the computed tSTAT test statistic is less than the upper-tail critical value. D. Do not reject H0 because the computed tSTAT test statistic is greater than the upper-tail critical value.
Answer:
a. t`= 7.63
b.υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= 18.885 ≈19 The degrees of freedom is always rounded in this calculation.
c. The critical region for one tailed test for alpha= 0.1 and 19 degrees of freedom is 1.328= 1.33
The critical region is ║t║` ≥ t 0.05,19 = 1.729= 1.73
A. Reject H0 because the computed tSTAT test statistic is greater than the upper-tail critical value
Step-by-step explanation:
Answer:
Step-by-step explanation:
We state our null and alternative hypothesis as
H0: μ1=μ2 against Ha: μ1 ≠ μ2
The level of significance is α=0.1
Since the population have unequal variances , the test statistic if H0 is true ,is
t`= x1`- x2`/ √s₁²/n1 + s₂²/n2
which has approximately a t- distribution with υ degrees of freedom where
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
Computations:
t`= x1`- x2`/ √s₁²/n1 + s₂²/n2
t`= 46-31/ √4²/9 + 5²/12
t`= 15/√16/9 +25/12
t`= 15/ √64+75/36
t`=15/1.9649
t`=7.6339
t`= 7.63
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= [139/36]²/ (16/9)²/8 +(25/12)²/11
= 14.91/ 0.395 + 0.395
= 18.885
≈19 The degrees of freedom is always rounded in this calculation.
The critical region is ║t`║≥ t 0.05,19 = 1.729
Since the calculated value of t` falls in the critical region we reject our null hypothesis of equal means.
Please help build a graph
Regina spent $45.50 over 6 1/2 months on music downloads. If she spent the same amount of money each month, how much money did Regina spend per month on music downloads? Choose the equation that can be used to represent the situation?
Answer:
It should be B, -45.50÷6.5=−7
Step-by-step explanation:
It should be B, -45.50÷6.5=−7
Answer:
Regina spent $7.00 every month.
An equation you can use is 45.50 / 6.50.
Step-by-step explanation:
P.S Can I have brainliest?
(2x + y = 14
5x - y = 28
Which ordered pair represents the solution
Answer:
D (6,2)
Step-by-step explanation:
2x6+2=14 2x6= 12 12+2= 14
5x6-2=28 5x6=30 30-2=28
Which of the following is the correct answer after multiplying both sides of the inequality -x > -3 by -1?
x 3
x > -3
x < -3
Answer:
x < 3
Step-by-step explanation:
When you multipy an inequality by a negative, remember to switch the inequality sign!
-x > -3
(-x)(-1) > (-3)(-1)
x < 3
please give thanks and hit the heart button :)
Step-by-step explanation:
x<3
ph0t0math/máthwáy
At ShopRite, chicken sells for $3.75 per pound. How much would it cost to buy 2.25 pounds of chicken?
Answer: 8.4375 U.S. dollars2
Step-by-step explanation:
Answer:
$8.44
Step-by-step explanation:
From the question it self we know that 1 pound of chicken costs $3.75. In order to solve this question we just need to find out how much 1 pound does fit into 2.25 pounds and then multiple the result by $3.75. We can find that out by dividing 2.25 by 1, and we get 2.25. Then we do the following....
2.25 x $3.75 = $8.4375
We got $8.4375 as an answer but we have to remember that when we are talking about money and we have to round to the nearest cent (which is equal to 1 hundredth of a dollar). So now we just have to round to the nearest hundredth, and we get $8.44 as our answer.
PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!
Find the value of x by filling in the blanks in the provided statement - reason solution.
I NEED THE WHOLE STATEMENT REASON CHART FILLED OUT!! THANK YOU SO MUCH IF YOU HELP!
Answer:
1. m<UTV=m<STR Vertical angles
2. m<R+ m<S+m<T. Triangles must add up to 180°
3. 3x+2x+85°=180°. Substitution
4. X=19. Algebra
Step-by-step explanation:
So basically we look at angle UTV and it equals to 85 degrees. We have to find another angle that equals 85 degrees and to do this we have to find a vertical angle congruent angle which here is angle RTS and this equals 85 degrees.
Next just use sum of angles in triangle from RTS.
Then substitute the values from angle RTS.
3x + 2x + 85 = 180
Solve for x.
I have attachtched a picture of what it should look like:
Your value to live in a quiet apartment is $400. The neighbor living above your apartment makes noise using her treadmill every day. She values running at $500. Your neighbor has the right to run in her apartment. If the proper conditions are met, what does the Coase Theorem suggest is the likely outcome in this case
Answer:
continuation
Step-by-step explanation:
Since you value a quiet apartment at $400, which is less than $500, you might offer $400 for your neighbor to stop, but she values running higher, so she would likely refuse, resulting in the continuation of what's happening.
The correct statement to the given query is "The neighbor pays you $401 to continue running".
Coase's theorem predicts that throughout the face of such an external cost, contracting groups or two entities would be prepared to arrange as well as achieve a satisfactory solution.Because of this, one's neighbor would then compensate them at minimum the worth of their condominium so that he would rather start operating upon the treadmills.Learn more about Coase theorem here:
https://brainly.com/question/2898855
Gabriel has 8 coins, all of which are quarters and pennies. In all, they're worth 56¢. How many of each kind of coin does Gabriel have?
Answer:
2 quarters and 6 pennies
Step-by-step explanation:
Quarters are worth 25 cents, pennies are worth 1 cent.
25(2) + 6(1) = 56 cents
40 points i will crown. A, B, C, or D.
Answer:
C. x > -3
Explanation:
The circle with no filling means it can not be equal
It goes ahead of -3 so it is greater than -3
The temperature of a pot of water is 62 °F.
The temperature increases by 20 °F per
minute when being heated.
Write an equation to represent the linear
relationship.
A. y = 62x + 20 C. y = 62 + 20
B. y = 20x + 62 D. y = (62 + 20)x
Answer:
i say B
Step-by-step explanation:
the pot is 62 which means that 20 would be x due to it increasing 20 degrees per minute
what is the area of the trapezoid?
Answer:
use formula=1/2×sum of parallel sides ×height
Answer:
A=64ft^2
Step-by-step explanation:
hope this helps
take care
#3) A skier is at the top of his hill ready to ski down. The skier is now located at
(16,30) at the top of his hill and the bottom of the hill is located at (4,2). What is
the slope of the hill? (You must reduce fractions)
3/7
3/2
7/3
-7
Plase help me it would mean a lot
Answer:
Drink A
Step-by-step explanation:
Let's find the amount of sugar in each drink in every 35 ounces. (since 35 is the lowest common multiple of 5 and 7)
Drink A
5 fluid ounces --- 11g of sugar
35 fluid ounces --- 11 ×7= 77g of sugar
Drink B
7 fluid ounces --- 10g of sugar
35 fluid ounces --- 10 ×5= 50g of sugar
Since drink A has more sugar in every 35 ounces than drink B, drink A is sweeter.
Solve for
m
.
−
5
m
=
−
35
m =
Answer: 7
Step-by-step explanation: -35 / -5 = 7
Answer:
The answer is 7. I did the lesson and 7 was the correct answer
Step-by-step explanation: