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3 years ago

Which is the value of g(5) if g(x)=3.4x-8

Mathematics

2 answers:

Nastasia [14]3 years ago

5 0

I do believe that the answer is 9.<span />

astra-53 [7]3 years ago

3 0

Answer: The value of g(5)= 9

Step-by-step explanation:

The given function : $g(x)=3.4x-8$

To find the value of g(5) , we need to substitute (Using substitution property) the value of x= 5 in the above function.

Now, put x= 5 in g(x), we get

$g(5)=3.4(5)-8\\\\\text{Simplify}\\\\\Rightarrow\ g(5)=17-8\\\\\Rightarrow\ g(5)=9$

Therefore, the value of g(5)= 9

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What differentiable functions have an arc length on the interval [a, b] given by the following integrals? Note that the answers

Dafna1 [17]

Answer:

a) $\pm 8\frac{x^{5}}{5}+C$

b) $\pm 4 sin(2x) + C$

Step-by-step explanation:

Given integrals are:

$a) \int\limits^a_b {\sqrt{{1+64x^{8}} } \, dx$ ---(1)

$b) \int\limits^a_b {\sqrt{1+64cos^{2}(2x)} } \, dx$ ---- (2)

Standard form

$L= \int\limits^a_b {\sqrt{1+(f'(x))^{2}} } \, dx$

compare (1) with standard form

$[f'(x)]^{2} = 64x^{8}\\f'(x)=\pm 8x^{4}\\f(x)= \pm8\frac{x^{5}}{5}+C$

Compare (2) with standard form

$[f'(x)]^{2}=64cos^{2}(2x)\\f'(x)= \pm 8cos(2x)\\f(x)=\pm 8\frac{sin(2x)}{2}+C\\f(x)= \pm 4sin(2x)+C$

5 0

3 years ago

8.0 × 105 + 6.0 × 107 = A. 14,000,000,000,000 B. 140,000,000 C. 60,800,000 D. 68,000,000

solong [7]

The answer is not on the list the answer is 90,522 and that is not up on the list

4 0

3 years ago

What is the value of x?<br>

loris [4]

31°

Angles in the same segment are similar.

I'm not too sure how to explain, but in a circle when two "triangles" are formed from two same points on the circumference, the angle of the vertexes formed are the same (like in the picture)

6 0

3 years ago

A very large data set (N > 10,000) has a mean value of 1.65 units and a standard deviation of 72.26 units. Determine the rang

Romashka [77]

Answer:

$z=-0.674$

And if we solve for a we got

$a=1.65 -0.674*72.26=-47.05$

$z=0.674$

And if we solve for a we got

$a=1.65 +0.674*72.26=50.35$

So then the limits where 50% of the data lies are -47.05 and 50.35

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(1.65,72.26)$

Where $\mu=1.65$ and $\sigma=72.26$

For this case we want the limits for the 50% of the values.

So on the tails of the distribution we need the other 50% of the data, and on ach tail we need to have 25% since the distribution is symmetric.

Lower tail

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.75$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.75 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.75

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-0.674$

And if we solve for a we got

$a=1.65 -0.674*72.26=-47.05$

So the value of height that separates the bottom 25% of data from the top 75% is -47.05.

Upper tail

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.674$

And if we solve for a we got

$a=1.65 +0.674*72.26=50.35$

So the value of height that separates the bottom 75% of data from the top 25% is 50.35.

So then the limits where 50% of the data lies are -47.05 and 50.35

6 0

3 years ago

Graph the line.<br> Don’t mind the random letters Fghhujhgdfvfdfgvee de f

CaHeK987 [17]

Answer:

Step-by-step explanation:

Here, we want to graph the given line

Mathematically, to graph a line, we will

need to work with the intercepts

The general equation of a straight line is;

y = mx + b

is the slope and b is the y-intercept

with respect to the question, 4 is the y-intercept

we have this point as (0,4)

To get the x intercept, we will need to substitute 0 for the value of y

So, we have ;

0 = -x + 4

x = 4

The x-intercept too is 4

This is the point (4,0)

So by joining the points (0,4) and (4,0);

we have successfully graphed the line

It can be found as an attachment below

8 0

3 years ago