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scoundrel [369]
3 years ago
11

what is the greatest number of pieces you can cut a cake into by making four straight cuts with a knife?

Mathematics
2 answers:
Tatiana [17]3 years ago
5 0
You can make 8 pieces by cutting it 4 straight times
disa [49]3 years ago
3 0
8 because each cut makes two slices and 4 times 2=8
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Let f(x) = 4x – 2 and g(x) = x + 1. Find the following function value.<br> (f - g)(-3)
Nataly [62]

Answer:

(f - g)(3) = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 4x - 2

g(x) = x + 1

<u>Step 2: Find</u>

<em>Find (f - g)(x)</em>

  1. Substitute:                         (f - g)(x) = 4x - 2 - (x + 1)
  2. Distribute -1:                      (f - g)(x) = 4x - 2 - x - 1
  3. Combine like terms:         (f - g)(x) = 3x - 3

<em>Find (f - g)(3)</em>

  1. Substitute:                         (f - g)(3) = 3(3) - 3
  2. Multiply:                             (f - g)(3) = 9 - 3
  3. Subtract:                            (f - g)(3) = 6
8 0
2 years ago
A retail outlet offers a retention bonus for each shopping season an employee remains with the company. Samuel's starting pay is
miv72 [106K]

Answer:

Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n.  After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr.

Step-by-step explanation:

You know that Samuel's starting pay is $12.50/hr and for each season Samuel remains with the company, he receives a $0.35/hr raise.

Samuel's hourly rate after n seasons at the company will then be:

f(n)= 12.50 + 0.35*n

To determine the hourly rate after 18 seasons, you must replace the value n with 18:

f(18)= 12.50 + 0.35*18

Solving you get:

f(18)= 12.50 + 6.3

f(18)= 18.8

<u><em>Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n.  After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr. </em></u>

6 0
3 years ago
Im too lazy to do this rn lol
gtnhenbr [62]

Answer:

You can drive at 53 miles per day.

Step-by-step explanation: Hope this helped )(-:

7 0
3 years ago
A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A random samp
motikmotik

Answer:

There is no statistical evidence at 1% level to accept that    the mean net contents exceeds 12 oz.

Step-by-step explanation:

Given that a random sample of ten containers is selected, and the net contents (oz) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.05, and 11.99.

We find mean = 11.015

Sample std deviation = 3.157

a) H_0: \bar x= 12 oz\\H_a: \bar x >12

(Right tailed test)

Mean difference /std error = test statistic

\frac{11.015-12}{\frac{3.157}{\sqrt{10} } } \\=-0.99

p value =0.174

Since p >0.01, our alpha, fail to reject H0

Conclusion:

There is no statistical evidence at 1% level to accept that    the mean net contents exceeds 12 oz.

3 0
3 years ago
If Carrie had 2 apples and Adam had 3, how many do they have altogether?
timama [110]

0 bc u said had so they will have nothing left

4 0
3 years ago
Read 2 more answers
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