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Archy [21]
2 years ago
13

Ya'll I'm desperate please answer this I really need to get it right.

Mathematics
1 answer:
IceJOKER [234]2 years ago
4 0

Answer:

a. Indep. = x, and dependent equals f(x)

b. x impacts f(x)

f(-4)= -11

Step-by-step explanation:

hope this helped

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The net of a triangular prism is shown below.
ollegr [7]

Answer:

18

Step-by-step explanation:

perimeter of the base = 4+4+5+5=18

the first box will make up the base of the prism

and perimeter is the sum of the sides of the shape

8 0
3 years ago
Read 2 more answers
Two bicyclists were racing toward each other when they were 98 miles apart. Three hours later they did not meet yet and the dist
lesya [120]

Let, speed of 1st bicyclist is x.

So, speed of 2nd bicyclist is x-3 .

We know, relative speed when two objects moves towards each other :

v = x + ( x-3 )\\\\v = 2x - 3

Now, distance travelled in 3 hours is (98-2) miles .

So,

2x-3 = \dfrac{96}{3}\\\\2x - 3 = 32\\\\2x = 35\\\\x = 17.5\ mph

Therefore, speed of bikes are 17.5 mph and 14.5 mph.

Hence, this is the required solution.

5 0
3 years ago
Find an equation of the tangent line to the curve at the given point. y = x + tan(x) at (pi, pi)
S_A_V [24]
<span>Differentiating :

y' = 1 + sec^2(x),
</span><span>
cosπ=−1</span><span>

plug in pi = -1 ,for x:

1 + sec^2(pi) = 1 +  (-1)^2 
                      = 2</span>
8 0
3 years ago
To help consumers assess the risks they are​ taking, the Food and Drug Administration​ (FDA) publishes the amount of nicotine fo
Anni [7]

Answer:

The 90​% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.8595

The margin of error is:

M = T*s = 1.8595*2.7 = 5

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 25.3 - 5 = 20.3 milligrams

The upper end of the interval is the sample mean added to M. So it is 25.3 + 5 = 30.3 milligrams.

The 90​% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.

7 0
3 years ago
A line passes through the points (−4, −1) and (−2, −4) . Fill in the boxes to complete an equation for the line in point-slope f
gizmo_the_mogwai [7]
Here, first we need to calculate for Slope:
m = y2-y1 / x2-x1
m = -1-(-4) / -4-(-2)
m = 3 / -2
m = -3/2

Now, y - y1 = m(x - x1)
y + 1 = -3/2(x + 4)
y + 1 = -3/2x - 6
y = -3/2x - 7

In short, Your Equation would be: y = -3/2x - 7

Hope this helps!
8 0
3 years ago
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