All categories

3 years ago

jackie drove 7 hours at an average of 60 miles an hour...how far did she travel... pls hurry i need to know soon thx

Mathematics

1 answer:

Furkat [3]3 years ago

4 0

Answer: 420 miles

Step-by-step explanation: She drove 7 hours at an average of 60 mph. You have to do 7 times 60 because each hour she goes 60 miles. 7 multiplied by 60 will give you 420.

You might be interested in

Find the values of which satisfy the equation. 2 cos (2B+30°) = -√3 in the domain OP ≤B≤360°

PSYCHO15rus [73]

Answer:

60 and 90

Step-by-step explanation:

$2 \cos(2 \beta + 30) = - \sqrt{3}$

$\cos(2 \beta + 30) = - \frac{ \sqrt{3} }{2}$

$2 \beta + 30 = \cos {}^{ - 1} ( \frac{ - \sqrt{3} }{2} )$

First solution.

$2 \beta + 30 = 150$

$2 \beta = 120$

$\beta = 60$

Second solution

$2 \beta + 30 = 210$

$2 \beta = 180$

$\beta = 90$

5 0

2 years ago

EXPLAIN why we placed the value of x= 4/3( the minimum value) into the equ of gradient(dy/dx) [in the answer, marking scheme att

aliina [53]

$y=x(x-2)^2$
$\implies y'=(x-2)^2+2x(x-2)=3x^2-8x+4=(3x-2)(x-2)=0$
$\implies x=\dfrac23,x=2$

are the critical points, and judging by the picture alone, you must have $b=\dfrac23$ and $a=2$ . (You might want to verify with the derivative test in case that's expected.)

Then the shaded region has area

$\displaystyle\int_0^2x(x-2)^2\,\mathrm dx=\dfrac43$

I'll leave the details to you.

Now, for part (iv), you're asked to find the minimum of $\dfrac{\mathrm dy}{\mathrm dx}=y'$ , which entails first finding the second derivative:

$y'=3x^2-8x+4$
$\implies y''=6x-8$

setting equal to 0 and finding the critical point:

$6x-8=0\implies x=\dfrac86=\dfrac43$

This is to say the minimum value of $\dfrac{\mathrm dy}{\mathrm dx}$ *occurs when $x=\dfrac43$ *, but this is not necessarily the same as saying that $\dfrac43$ is the actual minimum value.

The minimum value of $\dfrac{\mathrm dy}{\mathrm dx}$ is obtained by evaluating the derivative at this critical point:

$m=\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=4/3}=3\left(\dfrac43\right)^2-8\left(\dfrac43\right)+4=-\dfrac43$

4 0

3 years ago

Look at the two patterns below:

ser-zykov [4K]

Answer:

The first five terms in Pattern B are 3, 7, 11, 15, 19.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

How many solutions does the equation 5x + 10 = 5x − 8 have?

Alexxandr [17]

Answer:

It doesn't have a solution because if you try to graph each line y=5x+10 and y=5x-8, you will have a parallel line

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

There are 6 brown, 5 blue, and 2 orange marbles in a hat. What is the probability of picking two orange marbles in a row without

xenn [34]

<span>The correct answer is 1/78.

Explanation<span>:
There are 2 orange marbles out of 13 total marbles, so the probability of your first marble being orange is 2/13.

After this one is drawn, since it is not returned, the probability of getting a second orange marble is 1/12, since there is only 1 orange marble left out of 12 total marbles.

This gives us the total probability 2/13(1/12)=2/156=1/78.</span></span>

8 0

3 years ago