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mixer [17]
3 years ago
6

5. Let f(x) = 5x + 7 and g(x) = x – 1. Find f(g(x)).

Mathematics
1 answer:
Gemiola [76]3 years ago
6 0

Answer:

5(x - 1) +7

5x - 5 + 7

5x + 2 is the solution

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Kendra ordered a set of blue and brown pins. She received 100 pins, and 30% of them were blue. How many blue pins did Kendra rec
natka813 [3]

Answer:

30 blue pins

Step-by-step explanation:

30% is the same as 30 out of 100, so this can be written in this fraction: \frac{30}{100}

now, you should multiply this fraction by the total number of pins she ordered:

100 x \frac{30}{100}

to solve this, you can simplify by dividing 100 by 100, this equals 1

30 times 1 is 30

there are 30 blue pins

8 0
2 years ago
Read 2 more answers
he​ half-life for a link on a social network website is 2.6 hours. Write an exponential function T that gives the percentage of
pychu [463]

Answer:

% Remaining= [1-(1/2)^{\frac{t}{2.6}}]x100

And replacing the value t =5.5 hours we got:

% Remaining= [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%

Step-by-step explanation:

Previous concepts

The half-life is defined "as the amount of time it takes a given quantity to decrease to half of its initial value. The term is most commonly used in relation to atoms undergoing radioactive decay, but can be used to describe other types of decay, whether exponential or not".

Solution to the problem

The half life model is given by the following expression:

A(t) = A_o (1/2)^{\frac{t}{h}}

Where A(t) represent the amount after t hours.

A_o represent the initial amount

t the number of hours

h=2.6 hours the half life

And we want to estimate the % after 5.5 hours. On this case we can begin finding the amount after 5.5 hours like this:

A(5.5) = A_o (1/2)^{\frac{5.5}{2.6}}

Now in order to find the percentage relative to the initial amount w can use the definition of relative change like this:

% Remaining = \frac{|A_o - A_o(1/2)^{\frac{5.5}{2.6}}|}{A_o} x100

We can take common factor A_o and we got:

% Remaining= [1-(1/2)^{\frac{t}{2.6}}]x100

And replacing the value t =5.5 hours we got:

% Remaining = [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%

5 0
3 years ago
Identify the outliers of the data set. Then determine if the outlier increases or decreases the value of the mean.
Juli2301 [7.4K]
<h3>Answer:  D) 76; increases</h3>

========================================================

Explanation:

The main group or cluster of values spans from 32 to 42 (inclusive).

Then off on its own is the value 76, which we consider an outlier. This value is fairly far from the group. As a rule, large outliers pull on the arithmetic mean to make it larger than it should be. Think of it like the outlier pulling on the mean as if it was done through a magnet or gravitational pull.

Similarly, small outliers pull the mean to the left to make it smaller than it should be. We don't have any small outliers in this case.

--------------

Let's consider the set

A = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 46}

where I've sorted the values and I replaced 76 with 46.

Computing the mean of set A gets us

(32+34+35+36+37+38+38+41+42+42+46)/11 = 38.27 approximately

--------------

Now let's form this set

B = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 76}

which is the original set your teacher gave you. It's nearly identical to set A, except that the 46 is now 76 again.

Compute the mean of set B

(32+34+35+36+37+38+38+41+42+42+76)/11 = 41

---------------

Set A has a mean of roughly 38.72 and set B has a mean of 41. We see that the mean has increased.

3 0
3 years ago
10. WEATHER On average, the circular eye of a hurricane is about 15 miles in diameter. Gale winds can affect an area up to 300 m
kykrilka [37]

The equation to represent a possible boundary of the hurricane's eye is (x - 80)² + (y - 26)² = 7.5²

<h3>Circle Equation</h3>

The standard equation of a circle is given by:

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle and r is the radius.

Given that diameter = 15 miles, hence radius = 15/2  = 7.5. Also, center = (80, 26)

The equation of circle is:

(x - 80)² + (y - 26)² = 7.5²

The equation to represent a possible boundary of the hurricane's eye is (x - 80)² + (y - 26)² = 7.5²

Find out more on Circle Equation at: brainly.com/question/1559324

5 0
2 years ago
Plz help what is 10 to the 8th power divided by 9.5 x 2.3
skad [1K]

Answer:

24210526.3158

Used a calulator

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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