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natta225 [31]
2 years ago
11

Which number represents the BASE? 42=16 A. 4 B. 2 C. 16

Mathematics
1 answer:
stepladder [879]2 years ago
6 0

Answer:

2

Step-by-step explanation:

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Please helppp with this math question <333
Naya [18.7K]

Answer:

The average rate of change of the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1 is -1

Step-by-step explanation:

We are given the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1

We need to find average rate of change.

The formula used to find average rate of change is : Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}

We have b=-1 and a=-11

Finding g(b) = g(-1)

g(x)=x^2+10x+18\\Putting \ x=-1\\g(-1)=(-1)^2+10(-1)+18\\g(-1)=1-10+18\\g(-1)=9

Finding g(a) = g(-11)

g(x)=x^2+10x+18\\Putting \ x=-11\\g(-11)=(-11)^2+10(-11)+18\\g(-1)=121-110+18\\g(-1)=29

Finding average rate of change

Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1

So, the average rate of change of the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1 is -1

5 0
2 years ago
200 3. A technician charges $25 per hour plus $50 for a house call to repair home computers. Make a table and a graph to show th
Tju [1.3M]

Recall that for a home visit, the technician charges $50 regardless on the time spent in the repair.

So, to find out the rate, we should calculate the part that depends on the spent time, and the add 50. So for example, we know that the technician spents 1 hour. So, we multiply 1 times 25 and then add 50. So, 25*1 + 50 = 75, which is the rate for a 1-hour repair.

So, in general, if we know that the number of hours is x, we multiply x times 25 and then add 50. Then a table would like this:

x 25*x 25*x +50

1 25 75

2 50 100

3 75 125

4 100 150

Note that as the time increases by one hour, the fare increases by 25. This is an example of a direct variation, since as the independent variable increases (t

6 0
11 months ago
I need help fast pleasee
trapecia [35]

Answer:

<em>y = - cos ( </em>\frac{3}{4}<em> x + </em>\frac{\pi }{4}<em> ) </em>

Step-by-step explanation:

y = A cos ( Bx + C) + D

Vertical shift D = 0

A = - 1

Compression / Stretching B

Period of given function is \frac{8\pi }{3}

Period of cos x is 2π

\frac{8\pi }{3} = \frac{2\pi }{B} ⇒ B = \frac{3}{4}

Horizontal shift is C ÷ B

Horizontal shift of given function is \frac{\pi }{3}

\frac{\pi }{3} = C ÷ \frac{3}{4} ⇒ C = \frac{\pi }{4}

So, the equation of given function is

<em>y = - cos ( </em>\frac{3}{4}<em> x + </em>\frac{\pi }{4}<em> ) </em>

4 0
2 years ago
At the restaurant, your family orders a subtotal of $46.55. Add 6% sales tax and 18% tip. What is the total?
ICE Princess25 [194]

Answer:

Step-by-step explanation:

Now,

if you add the tip after the sales tax,

you will have:

46.55*(6/100)=2.79

the meal cost now 46.55+2.79=49.34

we add tip

49.34*(18/100)=8.88

total cost 49.34+8.88=58.22

8 0
3 years ago
Consider the following statements:
Black_prince [1.1K]

Answer:

b. I and II are both false.

Step-by-step explanation:

I. For a significance level, the two tailed hypothesis is not always accurate than the one tailed hypothesis test. The hypothesis testing is carried to find out the correctness of a claim of a population parameter. The two tail hypothesis test which used both positive and negative tails of the distribution is not always more accurate than one tailed test.

II. The process of the point estimation involves the utilization of the values of a statistic which is obtained from the sample data to obtain the best estimate of a corresponding unknown parameter in the given population.

Hence, both the statements are false.

3 0
3 years ago
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