College algebra chapter 3

College Algebra Chapter 3

Answers

Answer 1

Equation given:  [tex]S = 16t^2[/tex]

S: distance fallen  --> 1279 ftt: time taken for the distance fallen

Solve:

   [tex]S = 16t^2\\1279=16t^2\\t^2 = 79.93\\t=8.9[/tex]

Thus it took 8 seconds for the thing to fall from the top

Hope that helps!


Related Questions

All exponential functions can be written in many forms. Write the function
f(t) = 2800(0.95)' in the form f(t) = abro. Round all coefficients to four
decimal places.

Answers

[tex]2800(0.95)^t~~ = ~~2800(b)^{\frac{t}{10}}\implies \cfrac{2800(0.95)^t}{2800}=b^{\frac{t}{10}}\implies 0.95^t=b^{\frac{t}{10}} \\\\\\ (0.95)^{\frac{10t}{10}}=b^{\frac{t}{10}}\implies (0.95^{10})^{\frac{t}{10}}=b^{\frac{t}{10}}\implies (0.5987)^{\frac{t}{10}}\approx b^{\frac{t}{10}}\implies 0.5987 \approx b \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(t)\approx 2800(0.5987)^{\frac{t}{10}}~\hfill[/tex]

A High School’s football Stadium holds a total of 7,000 fans. A survey shows that of the total number of fans, 68% root for the home team. How many fans attending a football game are rooting for the home team?

A. 4,760
B.2,240
C. 47,600
D. 5,512

Answers

Answer:

the answer is; 68% of 7000 which gives 4760 football fans rooting for the home team

Consider the equation 21 = m + 14.1. Which step will help to solve this equation? = a) Add 14 14 on both sides of the equation. . b) Subtract 14 tão on both sides of the equation. С Multiply both sides of the equation by 14 141 . o Divide both sides of the equation by 14​

Answers

Answer:

B is the right answer

Step-by-step explanation:

Subtract 14 from each side to get the value of m

21 - 14 = 7 = m

m = 7

tim drives at an average of 80km per hour for 3 hours 45 minutes. work out how many kilometres tim drives

Answers

Tim covered 21.333 kilometers

Kilometers, km covered is distance, d

d = speed / time

d = 80 / 3 hours 45 mins

Converting 45 mins to hours we have

1 hour = 60 minutes

? Hours = 45 minutes

? = 45 / 60 = 0.75

So time is 3.75 hours

d = 80 / 3.75

= 64 / 3

= 21.333km


hope it helps

Answer:

300 km

Step-by-step explanation:

Tim drives 80 km in 1 hour or 60 minutes

Tim drives in 1 minute = 80/60 km

so, tim drives in 3 hours 45 minutes ( 225 minutes)

[tex] \frac{80 \times 225}{60} [/tex]

= 300 km


An artist has completed 1/4
of a penting in 2 weeks. At what rate is she working?

Answers

Answer:

1/8

Step-by-step explanation:

1/4 ÷ 2 = 0.125

0.125 as a decimal is 1/8

I need help with this question

Answers

Answer:

301 feet

Step-by-step explanation:

plug in the known values

[tex]85=\sqrt{24d}[/tex]

square both sides to cancel the square root

[tex]7225=24d[/tex]

divide both sides by 24 to get d on its own

[tex]d=301.041[/tex] feet

to the nearest foot is 301 feet

Erica has a rectangular living room that is 9.78 meters long from front to back and 11.85 meters long from side to side. Draw a sketch of Erica's living room, labeling the lengths, and estimate how many square meters of carpet Erica would need to cover her living room floor. ​

Answers

Answer:

-> See attached

115.893 meters²

Step-by-step explanation:

   See attached for my sketch.

    Area for a rectangle is A = L * W:

9.78 meters * 11.85 meters = 115.893 meters²

write a quadratic function f whose only zero is 11

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here's the solution ~

To write a quadrilatic function, we have to use its roots, like we have to subtract the roots from x and multiply them ~ then we will get our required function !

Since our only root is 11 here, we have to do t double

[tex]\qquad \sf  \dashrightarrow \:(x - 11)(x - 11)[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} - 11x - 11x + 121 [/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} - 22x + 121[/tex]

That's our required function ~ I hope you understood the whole thing !

Read the sentence. Patriots, people who supported freedom from England, were especially angry when British soldiers overtook their homes. What type of phrase is people who supported freedom from England?

Appositive

Fragment

Participial

Prepositional

Answers

Answer: Fragment.

Step-by-step explanation:

A Fragment phrase can be defined as a sentence that resembles a sentence but lacks delivering a complete idea. This sentence serves as a dependent clause in a sentence.

The given sentence is an example of a fragment phrase or sentence. Though the phrase appears to be a sentence but it lacks complete idea because we don't know about which 'people' is it talking about.

Can you be serious and more understanding about the home work

Answers

Answer:

yes

Step-by-step explanation:

is there a specific question?

Answer: All children should be doing homework. But the amount and quality should change." His basic prescription.

Step-by-step explanation:

Make x the subject of each formula.​

Answers

Answer:

see explanation

Step-by-step explanation:

look at the photo

A cup contains 438 grams of sand. A bucket contains 2,120 grams of sand.

How many more grams of sand are in the bucket than the cup?

Answers

The bucket that contains 2120 grams of sand and a cup that contains 438 grams of sand , the bucket of sand has 1682 grams of sand than the cup of sand in the cup.

How to calculate difference in mass?

A cup contains 438 grams of sand. A bucket contains 2120 grams of sand.

Therefore, the number of more grams of sand in the bucket than the cup is as follows:

mass of sand in cups = 438 grams

mass of sand in the bucket = 2120 grams

Therefore,

difference in mass = 2120 - 438

difference in mass = 1682 grams

Therefore, they are 1682 grams of sands in the bucket than the cup.

learn more on mass(grams) here: https://brainly.com/question/12843854

three subtracted from five times a number is -39. what number is?

A) Translate the statement above into an equation that you can solve to answer this question, Do not solve it yet. Use x as your variable.
The equation is _____
B) Solve your equation in part {A} for x
.Answer x=

Answers

Answer:

A) 5x - 3= -39

B) 5x = -39 + 3

5x = -36

x = -36/ 5

x= -7.2

Two students determined the value of this expression.

-2.5(1.4+3.1) + 6.9(-4.3)

These are the steps each student used.



Student P

Step 1: -3.5 + 7.75 + 6.9(-4.3)



Step 2: -3.5 + 7.75 - 29.67



Step 3: 7.75 - 3.5 - 29.6
Step 4: -25.42

Student Q
Step 1: -3.5 - 7.75 + 6.9(-4.3)
Step 2: -3.5 - 7.75 - 29.67
Step 3: -(3.5 - 7.75 - 29.67)
Step 4: -(-33.92)
Step 5: 33.92
Analyze the steps and describe any errors made by Student P and Student Q.

Answers

Let's solve

[tex]\\ \rm\rightarrowtail -2.5(1.4+3.1)+6.9(-4.3)[/tex]

[tex]\\ \rm\rightarrowtail -3.5-7.75-29.67[/tex]

[tex]\\ \rm\rightarrowtail -11.25-29.67[/tex]

[tex]\\ \rm\rightarrowtail -40.92[/tex]

Both did error in signs

Answer:

Given expression:

-2.5(1.4+3.1) + 6.9(-4.3)

Student P

Step 1:  -3.5 + 7.75 + 6.9(-4.3)

Step 2: -3.5 + 7.75 - 29.67

Step 3: 7.75 - 3.5 - 29.67

Step 4: -25.42

Student P made an error in step 1.  When expanding the first part of the expression, they forgot the negative sign when multiplying -2.5 by 3.1.  

So Step 1 should be:  -3.5 - 7.75 + 6.9(-4.3).  

This error then impacted all following steps and gave an incorrect final solution.

Student Q

Step 1: -3.5 - 7.75 + 6.9(-4.3)

Step 2: -3.5 - 7.75 - 29.67

Step 3: -(3.5 - 7.75 - 29.67)

Step 4: -(-33.92)

Step 5: 33.92

Student Q made an error in step 3.  When placing the numbers in parentheses and placing a negative sign outside the parentheses, they should have changed the two negative signs inside the parentheses to positives.

So Step 3 should be: -(3.5 + 7.75 + 29.67).  

This error then impacted all following steps and gave an incorrect final solution.

Correct steps and solution

Step 1:  -3.5 - 7.75 + 6.9(-4.3)

Step 2: -3.5 - 7.75 - 29.67

Step 3: -(3.5 + 7.75 + 29.67)

Step 4: -(40.92)

Step 5: -40.92

Adisa has $195.00. He wants to buy as many calculators as possible. Each calculator costs $6.50. Part A Create an equation that can be used to determine the number of calculators, C, Adisa can buy. Drag and drop the options to the empty boxes to create your equation. A ? = 6.50 С + 195.00 Part B How many calculators can Adisa buy? Enter your answer in the box.​

Answers

Answer:

Step-by-step explanation:

Equation

Part A

# Calculators = Total amount / Cost of 1 calculator

Givens

# Calculators = ?

Total amount of money = 195 dollars

Cost of one calculator = 6.50

Solution

# Calculators = 195/6.50

# Calculators = 30

Answer: He can buy 30 calculators.

This recipe makes three portions of soup.
Navina follows this recipe but only wants to make enough for one portion of soup.
How much of each ingredient does she need?

Recipe: Serves 3
180 g onions
120 g carrots
3 tablespoons of oil
600 g tomatoes
1.2 litres vegetable stock

Answers

Answer:

Step-by-step explanation:

To get one portion of soup, each ingredient should be divided by 3

Quantity of onion required=  180 ÷ 3 = 60 g

Quantity of carrots required = 120 ÷ 3 = 60 g

Oil = 3 ÷ 3 = 1 table spoon

Quantity of tomatoes required = 600 ÷ 3 = 300 g

Vegetable stock = 1.2 ÷ 3 = 0.4 litres

mitchell has a small bag with 12 m& ms

Answers

Answer:

You may want to add more context to this question.

Step-by-step explanation:

Write the absolute value equations in the form x−b =c (where b is a number and c can be either number or an expression) that have the following solution sets:
two solutions: x=1/2, x=-1/3
one solution: x=-3
all numbers such that x≤5
all numbers that x ≥-1.3

anything helps!

Answers

All cases rewritten in the form of difference expressions are listed below:

x - 1/2 = 0, x + 1/3 = 0x + 3 = 0x - 5 ≤ 0x + 1/3 ≥ 0How to translate equalities and inequalities into difference expressions

Equalities represent relationships between two expressions, in which one expression is equal to another. An equality (x = a) is equivalent to the following difference expression:  

x - a = 0   (1)

And inequalities represent relationships between two expressions, in which one expression is not necessarily to another. An inequality (x < a, x > a, x ≤ a, x ≥ a) is represented by the following difference expression:

x - a = b   (2)

Where b have the following cases:

If x < a, then b < 0.If x > a, then b > 0.If x ≤ a, then b ≤ 0.If x ≥ a, then b ≥ 0.

Now we proceed to rewrite each case in term of difference expressions:

x - 1/2 = 0, x + 1/3 = 0x + 3 = 0x - 5 ≤ 0x + 1/3 ≥ 0

To learn more on inequalities, we kindly invite to check this verified question: https://brainly.com/question/19491153

-77x - 78x = -155x

-66y - (-66y) = -66y + 66y = 0

264 - (-666) = 264 + 666 = 930

This leaves us with -155x = 930. Dividing by -155 on both sides, we find:

x = -6

Substitute x = -6 into one of the two original equations, solve for y, and then state the full solution to the system of equations.

Answers

Answer:

I don't understand

Step-by-step explanation:

You answer it.

The perimeter of the triangle at the right is 22.6 in. What is the value of n?
A. 3.5
B. 4.6
C. 7.8
D. 9.4

Answers

Answer:

A. 3.5

Step-by-step explanation:

The perimeter is just the sum of all of the side lengths. The sides of this triangle are n inches, (n + 5.2) inches, and (2n + 3.4) inches.

So, your equation is n + n + 5.2 + 2n + 3.4 = 22.6 inches.

You can combine like terms (adding together all of the n's and all of the numbers) to simplify your equation to 4n + 8.6 = 22.6 inches.

Subtract 8.6 from both sides of the equation to get 4n = 14, and divide both sides by 4 to get n = 3.5.

Hope this helps! :)

You open a money market account with $7500 at 5% compound quarterly. After two years, $1500 is withdrawn from the account to buy a new computer. A year later, $2000 is put in the account. What will be the ending balance if the money is kept in the account for another three years?

Answers

Answer:

  $10,596.81

Step-by-step explanation:

The balance on an account earning 5% interest compounded quarterly can be found using the formula ...

  A = P(1 +0.05/4)^(4t)

where P is the principal invested and t is the number of years.

__

Here, we are investing $7500.00. After 2 years, the account balance will be ...

  A = $7500(1 +0.05/4)^(4·2) = $8283.65

After the $1500 withdrawal, the new balance will be ...

  $8583.65 -1500.00 = $6783.65

__

This is the amount earning interest for the next year, after which time the balance will be ...

  A = $6783.65·(1.0125)^(4·1) = $7129.24

When $2000 is added to the account, the principal earning interest for the last 3 years is ...

  $7129.24 +2000.00 = $9129.24

__

The final balance after 3 more years is then ...

  A = $9129.24·(1.0125)^(4·3) = $10,596.81

_____

These calculations are conveniently carried out by a spreadsheet, as in the attached. Since the account changes are all done at the end of the year, we don't have to keep track of the quarterly balances. The formula used to calculate the ending balance each year is shown.

Which of the following equations are true for the number 5? (Select all that apply)
a 4 ÷ ⬜ = 4/5
b ⬜ ÷ 1/5 = 25
c 1/5 = ⬜ ÷ 5
d 4 ÷ ⬜ = 1/5

Answers

Answer:

A. True

B. True

C. False

D. False

The following equation models the deer population during mating season starting April 1, 2016, where m is time in months.

1053(1.23)^m = N

(a) How many deer were there on April 1, 2016?

(b) How many deer were there on May 1, 2016?

(c) What is the monthly growth rate?

(d) What is the yearly growth rate?

(e) What is the weekly growth rate?

Answers

The function N =1053(1.23)^m or 1053(1.23)^m = N is an illustration of an exponential function

The deer on April 1, 2016

The function is given as:

N =1053(1.23)^m

On April 1, 2016; the value of m is:

m = 0

So, we have:

N =1053(1.23)^0

N = 1053

Hence, there are 1053 deers on April 1, 2016

The deer on May 1, 2016

The function is given as:

N =1053(1.23)^m

On April 1, 2016; the value of m is:

m = 1

So, we have:

N =1053(1.23)^1

N =1295

Hence, there are 1295 deers on May 1, 2016

The monthly growth rate

An exponential growth function is represented as:

y = a(1 + r)^x

Where r represents the growth rate

By comparison; the monthly growth rate (r) is calculated as:

1 + r = 1.23

Subtract 1 from both sides

r = 0.23

Express as percentage

r = 23%

Hence, the monthly growth rate is 23%

The yearly growth rate

We have the monthly growth rate to be 23%

There are 12 months in a year.

So, the yearly growth rate is:

y = 23%^12

Evaluate

y = 0.00022%

Hence, the yearly growth rate is 0.00022%

The weekly growth rate

We have the monthly growth rate to be 23%

There are 4 weeks in a months

So, the weekly growth rate is:

m = 23%^(1/4)

Evaluate

m = 69%

Hence, the weekly growth rate is 69%

Read more about exponential functions at:

https://brainly.com/question/11464095

If z7=4-3i, thenz7 is
Select one:
O-7
O 7
O 5
O -5

Answers

By using Euler's notation, we will see that:

z^7 = 78,125*e^(-i*4.48)

How to get z^7?

We know that:

z = 4 - 3i

Remember that for a complex number:

w = a + bi

In Euler's notation, we can write this as:

w = √(a^2 + b^2)*e^(i*Atan(b/a))

Then, for z, we will get:

z =  √(4^2 + (-3)^2)*e^(i*Atan(-3/4))

z = 5*e^(-i*0.64)

Now, if we apply an exponent of 7 to this number, we will get:

z^7 = ( 5*e^(-i*0.64))^7

z^7 = 5^7*e^(-i*7*0.64) = 78,125*e^(-i*4.48)

If you want to learn more about complex numbers, you can read:

https://brainly.com/question/10662770

need help with the questions below. screenshots are provided. need help asap

Answers

Answer:

Step-by-step explanation:

12g - 17 ≥ 17

12g ≥ 34

g ≥ [tex]\frac{34}{12}[/tex]

g ≥ [tex]\frac{17}{6}[/tex]

If you should feed 1½ lbs of hay per 100 lbs of your horse’s body weight, how much should you feed a 1100 lb horse?
A. 23lbs
B. 16.5lbs
C. 13.6lbs
D. 7.5lbs

Answers

I think it's 16.5lbs I'm sorry if I'm wrong I don't know for sure

If you deposit $3,000 in a savings account that earns simple interest at a rate of 2.5% a year, how much interest would you have after 4 years?

Answers

Answer:  300 dollars

Work Shown:

i = P*r*t

i = 3000*0.025*4

i = 300

Does anyone know the answers? Need help!!

Answers

Answer:

nice handwriting

Step-by-step explanation:

Solve for d
Can you pls help me?

Answers

the answer to this question would be 3d-2=31 and d=11

please i need help

This figure consists of a rectangle and semicircle. What is the area of this figure? Use 3.14 for π. Enter your answer to the nearest hundredths place in the box.

Answers

Answer:

Step-by-step explanation:

firstly the area for teh rectangle is 12 x 15 = 18are0

the area for the circle is 113.1 sq inches because  pi x r squared

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