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Aleks [24]
3 years ago
5

1. The velocity of a car as it travels over a level crossing is modeled by v = t2 – 4t + 12

Mathematics
1 answer:
ruslelena [56]3 years ago
6 0

Answer:

At t=2s the car  reach its minimum speed

Minimum speed=8m/s

Step-by-step explanation:

We are given that velocity of car

v(t)=t^2-4t+12

0<t<4

Differentiate w.r.t t

v'(t)=2t-4

v'(t)=0

2t-4=0

2t=4

t=2

v''(t)=2>0

The velocity is minimum at t=2 s

Substitute t=2

v(2)=2^2-4(2)+12

v(2)=8m/s

Hence, the speed of car is minimum at t=2 se and minimum speed of car=8m/s

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Jessica used 2/3 yard of fabric to make a scarf. Can she make 2 of these scarves with 1 3/4 yards of fabric, and why?
Alex Ar [27]

Option 1

Jessica can make 2 scarves

yes, because the quotient of 1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}

<u>Solution:</u>

Given, Jessica used \frac{2}{3} yard of fabric to make a scarf.

We have to find can she make 2 of these scarves with 1\frac{3}{4} yards of fabric, and why?

Now, let us find number of scarves that can be made from available scarf

\text { Number of scarves }=\frac{\text { avaiable scarf }}{\text { fabric required for } 1 \text { scarf }}

\begin{array}{l}{=\frac{1 \frac{3}{4}}{\frac{2}{3}}=1 \frac{3}{4} \times \frac{3}{2}} \\\\ {=\frac{4 \times 1+3}{4} \times \frac{3}{2}} \\\\ {=\frac{16+5}{8}=2 \frac{5}{8}}\end{array}

We know that,

2 \frac{5}{8}>2 so we can make 2 scarves.

Hence, yes, we can make 2 scarves because quotient of 1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}

So 1st option is correct

3 0
3 years ago
Write 83 as a sum of tens and ones
Hoochie [10]
Well,

We can see that there are 8 10's and 3 1's.  So we can write 8 10's followed by 3 1's and join them with addition symbols.

83 = 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 1 + 1 + 1
6 0
4 years ago
Read 2 more answers
how can you use the sine and cosine ratios and their inverses in calculations involving right triangles
Marysya12 [62]

Answer:

Step-by-step explanation:

I will show you by example.  For the sin ratio, we have that the sin of the reference angle is equal to the side opposite the angle over the hypotenuse of the right triangle.  We use this example for finding the ratio, knowing the angle:

sin(60)=.866025 found on your calculator.  Because this is a special angle in a right triangle, we can also say, by looking at a 60 degree reference angle that the side across from the angle measures square root of 3, and the hypotenuse measures 2.  So in terms of a radical,

sin(60)=\frac{\sqrt{3} }{2}

If we don't know the angle, we use the 2nd button on our calculator to find it.  For example, if our problem looked like this:

sin\theta=\frac{1}{2},

we are asked what angle has a sin ratio of 1/2.  We find this angle by pressing the 2nd button on our calculator, then the sin button and you will see this on your screen:

sin^{-1}(

Enter either a .5 or a 1/2 after that open parenthesis and hit enter and you'll get the angle measure.  That's how you use the inverses to solve for missing angles.

3 0
4 years ago
What’s the square root of 36?
Sonja [21]

Answer:

6

Step-by-step explanation:

the square root is basically exponents 6*6 is 6^2 which is 36.  

8 0
3 years ago
Read 2 more answers
Use the function f(x) = 2 - 5x to fill in the blanks in the table.
KiRa [710]
2-5(-2)=12
2-5(-1)=7
2-5(0)=2
2-5(1)=-3
2-5(2)=-8
7 0
3 years ago
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