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3 years ago

12

A flight averages 460 miles per hour. The return flight averages 500 miles per hour due to a tailwind. The total flying time is

4.8 hours. How long is each flight?

1 answer:

dedylja [7]3 years ago

6 0

Answer: the first flight is 2 hours and the second flight is 2 hours and 48 minutes

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HELLLLP (will mark brainiest)

Zigmanuir [339]

Answer:

We put the value of the x in the formula

${4 \times }(6)^{2} - 7 \times 6 + 12$

f(6)=

$4 \times 36 - 7 \times 6 + 12 = 144 - 42 + 12 = 102 + 12 = 114$

Step-by-step explanation:

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Answer:

Step-by-step explanation: is This what you want?

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3 years ago

Design a sine function with the given properties:

Rom4ik [11]

Answer:

$f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13$ .

Step-by-step explanation:

Given information:

Period = 24 hr

Maximum = 16 at t=16 hr.

Minimum = 10 at t=4 hr.

The general sin function is

$y=A+\sin(B(x-C))+D$ .... (1)

where, |A| is altitude, $\frac{2\pi}{B}$ is period, C is phase shift and D is midline.

Period is 24 hr.

$24=\dfrac{2\pi}{B}\Rightarrow B=\dfrac{\pi}{12}$

Altitude is

$A=\dfrac{Maximum-Minimum}{2}=\dfrac{16-10}{2}=3$

$D=\dfrac{Maximum+Minimum}{2}=\dfrac{16+10}{2}=13$

The function is minimum at t=4 and maximum at t=16,phase shift is

$C=\dfrac{16+4}{2}=10$

Substitute these values in equation (1).

$y=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13$

Therefore, the required function is $f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13$ .

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3 years ago

What is the slope of the graph?

Keith_Richards [23]

Use the coordinates of the two black dots:

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4 0

3 years ago

Matt gets paid at home for doing extra chores. Last week, he did 6 loads of laundry and 1

emmasim [6.3K]

Matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively

<u>Solution:</u>

Given, Matt gets paid at home for doing extra chores.

We have to find How much does Matt earn for completing each type of chore?

Let the amount for 1 load of laundry be m and amount for 1 load of dish be n.

Now, last week, he did 6 loads of laundry and 1 load of dishes, and his parents paid him $27.

Then, 6 $\times$ amount for 1 load of laundry + 1 $\times$ amount for 1 load of dish = 27

$\rightarrow 6 \mathrm{m}+\mathrm{n}=27 \rightarrow(1)$

The week before, he finished 1 load of laundry and 9 loads of dishes, earning a total of $31

Then, 1 $\times$ amount for 1 load of laundry + 9 $\times$ amount for 1 load of laundry = 31 ⇒m + 9n = 31 ⇒ (2)

Now let us solve equations (1) and (2)

0 – 53n = - 159

-53n = -159

53n = 159

n = 3

Now, substitute n value in (1) ⇒ 6m + 3 = 27 ⇒ 6m = 24 ⇒ m = 4

Hence, matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively.

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3 years ago