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Sliva [168]
3 years ago
7

What is the average rate of change of the function on the interval from x = 1 to x = 2?

Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

x=1 f = 10(5.5)(1) = 55

x=2, f = 10(5.5)(2) = 110

110-55 = 55

2-1 =1

55/1 = 55

 average rate of change = 55

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11. You plan to bake "apple crisp" for a dinner party you are hosting. Your recipe serves four
Ludmilka [50]

Answer:

2.5 teaspoon.

Step-by-step explanation:

4 serve recipe need cinnamon = 1 tsp

1 serve recipe need cinnamon = 1/4 tsp

10 serve recipe need cinnamon = 1/4 * 10

                                                      = 10/4

                                                      = 2.5 tsp

7 0
3 years ago
According to the school survey 12% of the students at Rockwood high school speak Spanish there are 36 students at the school who
Svet_ta [14]
36 - 12%
x - 100%

x=\frac{100\%\cdot36}{12\%}\\
x=300

6 0
3 years ago
Read 2 more answers
John left a $2 tip for the server when stopped at a diner. If this was 20% of his order total, how much was his order?
Katen [24]
The answer is 10 dollars
4 0
2 years ago
Read 2 more answers
The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.​
Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is \dfrac{15}{2}.

To find:

The sum of first six terms.​

Solution:

We have,

S_2=6

S_4=\dfrac{15}{2}

Sum of first n terms of a GP is

S_n=\dfrac{a(1-r^n)}{1-r}              ...(i)

Putting n=2, we get

S_2=\dfrac{a(1-r^2)}{1-r}

6=\dfrac{a(1-r)(1+r)}{1-r}

6=a(1+r)                    ...(ii)

Putting n=4, we get

S_4=\dfrac{a(1-r^4)}{1-r}

\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}

\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}

\dfrac{15}{2}=6(1+r^2)            (Using (ii))

Divide both sides by 6.

\dfrac{15}{12}=(1+r^2)

\dfrac{5}{4}-1=r^2

\dfrac{5-4}{4}=r^2

\dfrac{1}{4}=r^2

Taking square root on both sides, we get

\pm \sqrt{\dfrac{1}{4}}=r

\pm \dfrac{1}{2}=r

\pm 0.5=r

Case 1: If r is positive, then using (ii) we get

6=a(1+0.5)  

6=a(1.5)  

\dfrac{6}{1.5}=a  

4=a

The sum of first 6 terms is

S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}

S_6=\dfrac{4(1-0.015625)}{0.5}

S_6=8(0.984375)

S_6=7.875

Case 2: If r is negative, then using (ii) we get

6=a(1-0.5)  

6=a(0.5)  

\dfrac{6}{0.5}=a  

12=a  

The sum of first 6 terms is

S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}

S_6=\dfrac{12(1-0.015625)}{1.5}

S_6=8(0.984375)

S_6=7.875

Therefore, the sum of the first six terms is 7.875.

5 0
3 years ago
A car salesman sold a cat for $23,575, earning a commission of 4%. How much was his commission? '
Liono4ka [1.6K]

Answer:

The commission is 943

Step-by-step explanation:

Take the price of the cat and multiply by the commission rate

23575 * 4%

23575 *.04

943

The commission is 943

6 0
3 years ago
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