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2 years ago

Simplify this problem

Mathematics

1 answer:

Helga [31]2 years ago

8 0

Answer:

c^2 +17c -5

Step-by-step explanation:

I like to line them up vertically

2c^2 +7c - 1

- (c^2 -10c+4)

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

Distribute the minus sign

2c^2 +7c - 1

- c^2 +10c-4

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

c^2 +17c -5

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If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, its height in feet after t seconds is given by

Vitek1552 [10]

Answer:

a) Average velocity at 0.1 s is 696 ft/s.

b) Average velocity at 0.01 s is 7536 ft/s.

c) Average velocity at 0.001 s is 75936 ft/s.

Step-by-step explanation:

Given : If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, its height in feet after t seconds is given by $y = 70t-16t^2$ .

To find : The average velocity for the time period beginning when t = 2 and lasting. a. 0.1 s. , b. 0.01 s. , c. 0.001 s.

Solution :

a) The average velocity for the time period beginning when t = 2 and lasting 0.1 s.

$(\text{Average velocity})_{0.1\ s}=\frac{\text{Change in height}}{0.1}$

$(\text{Average velocity})_{0.1\ s}=\frac{h_{2.1}-h_2}{0.1}$

$(\text{Average velocity})_{0.1\ s}=\frac{(70(2.1)-16(2.1)^2)-(70(0.1)-16(0.1)^2)}{0.1}$

$(\text{Average velocity})_{0.1\ s}=\frac{69.6}{0.1}$

$(\text{Average velocity})_{0.1\ s}=696\ ft/s$

b) The average velocity for the time period beginning when t = 2 and lasting 0.01 s.

$(\text{Average velocity})_{0.01\ s}=\frac{\text{Change in height}}{0.01}$

$(\text{Average velocity})_{0.01\ s}=\frac{h_{2.01}-h_2}{0.01}$

$(\text{Average velocity})_{0.01\ s}=\frac{(70(2.01)-16(2.01)^2)-(70(0.01)-16(0.01)^2)}{0.01}$

$(\text{Average velocity})_{0.01\ s}=\frac{75.36}{0.01}$

$(\text{Average velocity})_{0.01\ s}=7536\ ft/s$

c) The average velocity for the time period beginning when t = 2 and lasting 0.001 s.

$(\text{Average velocity})_{0.001\ s}=\frac{\text{Change in height}}{0.001}$

$(\text{Average velocity})_{0.001\ s}=\frac{h_{2.001}-h_2}{0.001}$

$(\text{Average velocity})_{0.001\ s}=\frac{(70(2.001)-16(2.001)^2)-(70(0.001)-16(0.001)^2)}{0.001}$

$(\text{Average velocity})_{0.001\ s}=\frac{75.936}{0.001}$

$(\text{Average velocity})_{0.001\ s}=75936\ ft/s$

5 0

3 years ago

Find the distance between the two points S (-5,-2) and T (-3,4).

icang [17]

Answer:

$d =2 \sqrt{10}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

S (-5, -2)

T (-3, 4)

Step 2: Find distance d

Substitute: $d = \sqrt{(-3+5)^2+(4+2)^2}$
Add: $d = \sqrt{(2)^2+(6)^2}$
Evaluate: $d = \sqrt{4+36}$
Add: $d = \sqrt{40}$
Simplify: $d =2 \sqrt{10}$

6 0

3 years ago

Mr. Ramadhan wants to save money to buy a house so he puts 21% of his earnings into his savings account. How much money does he

Trava [24]

Answer:

79%

Step-by-step explanation:

He has 100% to start off. If he puts 21% into savings you subtract that from the starting amount. 100 - 21 = 79. Therefore the answer is 79%.

6 0

3 years ago

Read 2 more answers

Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and

Semenov [28]

Answer:

y= 43

x= 37

Step-by-step explanation:

Legs: (43 x 4) + (37 x 2) = 248

Heads: 43 + 37 = 80

4 0

2 years ago

PLS HELP ASAP!!! <3

satela [25.4K]

The answer would be C. A is the same angle and Lines AE=AB and AC=AD

7 0

3 years ago