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3 years ago

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Mathematics

1 answer:

Brums [2.3K]3 years ago

8 0

Answer:

I don't know what inductive reasoning is but, the next two numbers in the pattern are -243 and +729

Step-by-step explanation:

each number is being multiplied by a factor of (-3).

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In a triangle ABC, AB = 7, AC = 8, BC = 3, what is cos(A)?

kotegsom [21]

Use the cosine rule.
c=AB=7
b=AC=8
a=BC=3
a^2=b^2+c^2-2bc(cos(A))
=>
cos(A)=(b^2+c^2-a^2)/(2bc)
=(7^2+8^2-3^2)/(2*7*8)
=13/14
=0.9286

6 0

3 years ago

A bank finds that the average number of people waiting in line during lunch hour is 10. On average, during this period, 2 people

mihalych1998 [28]

Answer:

5 minutes.

Step-by-step explanation:

We have been given that a bank finds that the average number of people waiting in line during lunch hour is 10. On average, during this period, 2 people per minute leave the bank after receiving service.

We will use flow time formula to solve our given problem.

$\text{Flow time}=\frac{\text{Number of units produced}}{\text{Duration of time period}}$

$\text{Flow time}=\frac{10}{2}$

$\text{Flow time}=5$

Therefore, on average bank customers wait in line for 5 minutes.

5 0

3 years ago

The temperature was -7 degrees in the morning. By noon, it was 12 degrees outside. What was the change in temperature?

11111nata11111 [884]

Answer:

19 degrees

Step-by-step explanation:

12-(-7)= 19

(12+7=19)

6 0

3 years ago

Below is an arithmetic sequence.

butalik [34]

Answer:a=1 b=5 c=9

Step-by-step explanation:

-7,-3,a,b,c,...... Is the arithmetic sequence

first term=p=-7

Common difference=d=-7-(-3)=-4

a is the 3rd term=-3+4=1

b Is the 4th term=1+4=5

c is the 5th term=5+4=9

Therefore

a is 1

b is 5

c is 9

4 0

3 years ago

Find the zero of the following function. f(x)=x³-7x²+4x+12

chubhunter [2.5K]

Answer:

Step-by-step explanation:

Hello, we can notice that f(-1)=0 so (x+1) is a factor and we can write.

$f(x)=(x+1)(x^2-8x +12)\\\\=(x+1)(x-6)(x-2)$

The sum of the zeros is 8=6+2 and the product is 12=6*2

So the zeroes are 2, 6, -1

thanks

6 0

4 years ago