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4 years ago

The table below represents the velocity of a car as a function of time.

1 answer:

4 0

We plot these data where x corresponds to the time and y corresponds to the velocity. Using the calculator, y - intercept is equal to 50. y-intercept is the y-value when x is zero. The car is accelerating. The average rate of change when x =1 to x=3 is (56-52)/(3-1) or 2 miles/hour^2. The car would reach 60 miles/hour when x=5 from the acceleration of 2. Domain is 5.

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Please help I'm really bad at math and I can't get a bad grade can someone help me please max points

Ksivusya [100]

1. x greater than or equal to 4 (B)

2. x does not equal 4 (C)

3. A

4. B

5. B

6. A

7. B

8. C

(The pictures were out of order but i did it by number shown in the pictures. Hope this helps.)

5 0

4 years ago

Read 2 more answers

A computer software vendor claims that a new version of its operating system will crash fewer than 10 times per year on average.

Oksana_A [137]

Answer:

Step-by-step explanation:

The hypothesis is written as follows

For the null hypothesis,

µd ≤ 10

For the alternative hypothesis,

µ > 10

This is a right tailed test

Since no population standard deviation is given, the distribution is a student's t.

Since n = 97

Degrees of freedom, df = n - 1 = 97 - 1 = 96

t = (x - µ)/(s/√n)

Where

x = sample mean = 8.9

µ = population mean = 10

s = samples standard deviation = 3.6

t = (8.9 - 10)/(3.6/√97) = - 3

We would determine the p value using the t test calculator. It becomes

p = 0.00172

Since alpha, 0.01 > than the p value, 0.00172, then we would reject the null hypothesis. Therefore, At a 1% level of significance, there is enough evidence that the data do not support the vendor’s claim.

3 0

3 years ago

A line that includes the point (0,10) has a slope of 9 . What is it’s equation in slope- intercept form?

hjlf

A point in the form of (0, number) is the y - intercept. That's because there is movement in the x -direction and the point is plotted on the y -axis. Our number in the ordered pair is the y-intercept - in this case, 10.

Slope intercept form is y = mx + b where m is the slope and b is the y-intercept. We are told the slope is 9 and we found the y-intercept, 10. 9 goes in for m, 10 goes in for b.

Thus the line (in slope intercept form) is y = 9x + 10.

3 0

3 years ago

Can you help me please i do. not get this

xenn [34]

Answer:

5 13/24

Step-by-step explanation:

(10 5/12) - (4 7/8) = (10 +5/12) -(4 +7/8)

... = (10 -4) +(5/12 -7/8)

... = 6 + (5/12 -7/8) . . . . . read on for how to simplify this

_____

Adding fractions

Adding fractions can be done in a mechanical sort of way using the formula ...

... a/b + c/d = (ad +bc)/(bd)

Here, we have a=5, b=12, c=-7, d=8, so the sum is ...

... (5·8 +12(-7))/(12·8) = (40 -84)/96 = -44/96

The numerator and denoinator of this fraction are both multiples of 4, so we can reduce the fraction.

... -44/96 = 4(-11)/(4·24) = -11/24

_____

Back to the problem at hand

... 6 + (5/12 -7/8) = 6 - 11/24

Now, we know that 1 = 24/24, so when we subtract 11/24 from 1, we get ...

... 1 - 11/24 = 24/24 - 11/24 = (24 -11)/24 = 13/24

So, our expression 6 - 11/24 can be rewritten as ...

... 6 -11/24 = (5 + 1) - 11/24 = 5 + (1 -11/24) = 5 13/24

Summary

... (10 5/12) - (4 7/8) = 5 13/24

_____

Another way to add fractions

The way to add fractions that is commonly taught is to first find a common denominator. Here that means you want to find the smallest number that is a multiple of both 12 and 8, the two denominators. You may recognize that number as being 24 = 12·2 = 3·8. (The methods of finding the common denominator (least common multiple) for numbers not in your memorized multiplication tables are not easy to describe.)

The next step in this method is to rewrite the fractions so they each have this denominator. The multipliers in the above equation are helpful for that purpose.

... 5/12 = (5·2)/(12·2) = 10/24

... 7/8 = (7·3)/(8·3) = 21/24

Now, the subtraction can proceed easilly:

... 10/24 - 21/24 = (10 -21)/24 = -11/24 . . . . . same result as above

8 0

4 years ago

How to write radical form in rational form

Law Incorporation [45]

Answer:
5⁵/⁴

Explanation:
Before we begin, remember the following:
 $\sqrt[n]{x}$ = x¹/ⁿ

 $\sqrt[n]{x^a}$ = xᵃ/ⁿ

The root form is known as the radical form while the power form is the rational form

Now, for the given:
We want to convert from the radical (root) form to the rational (power) form.
The given is:
4th root of 5⁵

Applying the above rules, we will find that the rational form is:
5⁵/⁴

Hope this helps :)

4 0

3 years ago

Read 2 more answers