the domain of f/g consists of numbers x for which g(x)........0 that are in the domain of both.....and......

Answers

Answer 1

Answer:

the domain of f/g consists of numbers x for which g(x) IS NOT EQUAL 0 that are in the domain of both f(x) and g(x)

Step-by-step explanation:

The denominator of a rational function can't be zero (see the first row in the attached table)

The Domain Of F/g Consists Of Numbers X For Which G(x)........0 That Are In The Domain Of Both.....and......
Answer 2

The required fill in the blanks is ≠ , f(x) and g(x).

It is required to fill in the blanks.

What is function?

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The domain of f/g consists of numbers x for which g(x) IS NOT EQUAL 0 that are in the domain of both f(x) and g(x).

The domain of (f/g) (x) consists of all x-values that are in the domain of both f and g, where g(x) ≠ 0. Both f and g have domain all real numbers.

Therefore, the required fill in the blanks is ≠ , f(x) and g(x).

Learn more about  function here:

brainly.com/question/24240489

#SPJ2


Related Questions


The line parallel to y = -3x + 4 that passes through (9,-6)

Answers

Answer:

y=−3x+21

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

You start savings a $250 a month for the next 22 years to give us a gift to your daughter when she graduates college if you put the money into a long-term savings account that receives 3.5 interest how much money will you be able to give your daughter

Answers

Answer:

$376,475.71  

Step-by-step explanation:

FVA Due = P * [(1 + r)n – 1] * (1 + r) / r

FVA Due = 250 * [(1.2916)264 – 1] * (1.2916) / .2916

Salma invested $8000 in a fund for 6 years and was paid simple interest. The total interest that she received on the investment was $1400. As a percentage, what was the annual interest rate of her investment? If necessary, refer to the list of financial formulas.

Answers

Answer: I don’t know lol maybe 1460

Step-by-step explanation:

What is the common denominator of (5/x^2-4) - (2/x+2) in the complex fraction (2/x-2) - (3/x^2-4)/(5/x^2-4) - (2/x+2)

Answers

9514 1404 393

Answer:

common denominator: (x² -4)simplified complex fraction: (2x +1)/(9 -2x)

Step-by-step explanation:

It is helpful to remember the factoring of the difference of squares:

  a² -b² = (a -b)(a +b)

__

Your denominator of (x² -4) factors as (x -2)(x +2). You will note that one of these factors is the same as the denominator in the other fraction.

It looks like you want to simplify ...

  [tex]\dfrac{\left(\dfrac{2}{x-2}-\dfrac{3}{x^2-4}\right)}{\left(\dfrac{5}{x^2-4}-\dfrac{2}{x+2}\right)}=\dfrac{\left(\dfrac{2(x+2)}{(x-2)(x+2)}-\dfrac{3}{(x-2)(x+2)}\right)}{\left(\dfrac{5}{(x-2)(x+2)}-\dfrac{2(x-2)}{(x-2)(x+2)}\right)}\\\\=\dfrac{2(x+2)-3}{5-2(x-2)}=\boxed{\dfrac{2x+1}{9-2x}}[/tex]

Answer:

c

Step-by-step explanation:

(x+2)^2(x-2)

write your answer in simplest radical form​

Answers

Answer:

n = 2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 30 = n / 2 sqrt(3)

2 sqrt(3) tan 30 = n

2 sqrt(3) * sqrt(3)/3 = n

2 = n

We have to find,

The required value of n.

Now we can,

Use the trigonometric functions.

→ tan(θ) = opp/adj

Let's find the required value of n,

→ tan (θ) = opp/adj

→ tan (30) = n/2√3

→ n = 2√3 × tan (30)

→ n = 2√3 × √3/3

→ n = 2√3 × 1/√3

→ [n = 2]

Thus, the value of n is 2.

describe how you could use the point-slope formula to find the equation of a line that is perpendicular to a given line and passes through a given point

Answers

Answer:

Using the slope intercept formula, we can see the slope of line p is ¼. Since line k is perpendicular to line p it must have a slope that is the negative reciprocal. (-4/1) If we set up the formula y=mx+b, using the given point and a slope of (-4), we can solve for our b or y-intercept. In this case it would be 17.

$9500 is invested, part of it at 11% and part of it at 8%. For a certain year, the total yield is $937.00. How much was invested at each rate

Answers

Answer:

5900 at 11%

3600 at 8%

Step-by-step explanation:

x= invested at 11%

y= invested at 8%

x+y=9500

.11x+.08y=937

Mulitply the first equation by .11

.11x+.11y= 1045

Subtract this and the second equation

(.11x+.11y)-(.11x+.08y)=1045-937

.03y=108

y=3600

SOlve for x

x+3600=9500

x=5900

Line segment TV is a midsegment of ∆QRS. What is the value of n in the triangle pictured?

A: 6.5

B: 7.6

C: 15.2

D: 3.2

Answers

Answer:

D. 3.2

Step-by-step explanation:

Mid-segment Theorem of a triangle states that the Mid-segment in a triangle is half of the third side of the triangle.

Based on this theorem, we have: TV = ½(RS)

TV = 3n - 2

RS = n + 12

Substitute

3n - 2 = ½(n + 12)

Multiply both sides by 2

2(3n - 2) = (n + 12)

6n - 4 = n + 12

Collect like terms

6n - n = 4 + 12

5n = 16

Divide both sides by 5

5n/5 = 16/5

n = 3.2

At the Arctic weather station, a warning light turns on if the outside temperature is below -25 degrees Fahrenheit. Which inequality models this situation?


t > -25
t < -25
t ≤ -25
t ≥ -25

Answers

Answer:

t≥-25

Step-by-step explanation:

this is becuaset ≥ -25 shows that it can not fall under -25, but can be equal to -25.

A particular fruit's weights are normally distributed, with a mean of 344 grams and a standard deviation of 10 grams. If you pick 10 fruit at random, what is the probability that their mean weight will be between 334 grams and 354 grams

Answers

Answer:

0.9984 = 99.84% probability that their mean weight will be between 334 grams and 354 grams.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 344 grams and a standard deviation of 10 grams.

This means that [tex]\mu = 344, \sigma = 10[/tex]

Sample of 10:

This means that [tex]n = 10, s = \frac{10}{\sqrt{10}}[/tex]

What is the probability that their mean weight will be between 334 grams and 354 grams?

This is the p-value of Z when X = 354 subtracted by the p-value of Z when X = 334.

X = 354

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{354 - 344}{\frac{10}{\sqrt{10}}}[/tex]

[tex]Z = 3.16[/tex]

[tex]Z = 3.16[/tex] has a p-value of 0.9992.

X = 334

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{334 - 344}{\frac{10}{\sqrt{10}}}[/tex]

[tex]Z = -3.16[/tex]

[tex]Z = -3.16[/tex] has a p-value of 0.0008.

0.9992 - 0.0008 = 0.9984

0.9984 = 99.84% probability that their mean weight will be between 334 grams and 354 grams.

Describe a rule for the transformation.

Answers

Answer: 90° counterclockwise

Step-by-step explanation:

Fill in the missing number to make these fractions equivalent

Answers

Step-by-step explanation:

1. 12/18/3 = 4/6....!!!

Answer:

6

Step-by-step explanation:

I would first simplify the fraction on the left:

12/18 = 2/3

Then:

2/3 = 4/x

2x/3 = 4

2x = 4*3

x = 4*3/2

x = 12/2

x = 6

1. Prove the following identity:
—> sin^2 theta (1+ 1/tan^2 theta) =1

Answers

9514 1404 393

Explanation:

  [tex]\sin^2(\theta)\times\left(1+\dfrac{1}{\tan^2(\theta)}\right)=\\\\\sin^2(\theta)\times\left(1+\dfrac{\cos^2(\theta)}{\sin^2(\theta)}\right)=\\\\\dfrac{\sin^2(\theta)\cdot(\cos^2(\theta)+\sin^2(\theta))}{\sin^2(\theta)}=\\\\\cos^2(\theta)+\sin^2(\theta)=1\qquad\text{Q.E.D.}[/tex]

Consider the series ∑n=1∞5n2+n.
The general formula for the sum of the first n terms is Sn=
. Your answer should be in terms of n.
The sum of a series is defined as the limit of the sequence of partial sums, which means
∑n=1∞5n2+n=limn→∞(
)=
.
Select all true statements (there may be more than one correct answer):
A. Most of the terms in each partial sum cancel out.
B. The series converges.
C. The series is a p-series.
D. The series is a telescoping series (i.e., it is like a collapsible telescope).
E. The series is a geometric series.

Answers

(a) Decompose the summand into partial fractions:

[tex]\dfrac5{n^2+n} = \dfrac5{n(n+1)} = \dfrac an+\dfrac b{n+1}[/tex]

[tex]\implies 5=a(n+1)+bn=(a+b)n+a[/tex]

[tex]\implies a+b=0\text{ and }a=5 \implies b=-5[/tex]

[tex]\implies\displaystyle\sum_{n=1}^\infty\frac5{n^2+n} = 5\sum_{n=1}^\infty\left(\frac1n-\frac1{n+1}\right)[/tex]

The n-th partial sum for the series is

[tex]S_n = 5\displaystyle\sum_{k=1}^n\left(\frac1k-\frac1{k+1}\right)[/tex]

which can be simplified significantly by examinging consective terms in the sum:

[tex]\displaystyle S_n = 5\left(1-\frac12\right) + 5\left(\frac12-\frac13\right) + 5\left(\frac13-\frac14\right) + \cdots + 5\left(\frac1{n-1}-\frac1n\right) + 5\left(\frac1n-\frac1{n+1}\right)[/tex]

[tex]\implies S_n = \boxed{5\left(1-\dfrac1{n+1}\right)}[/tex]

(b) Using the result of (a), you then get

[tex]\displaystyle\sum_{n=1}^\infty\frac5{n^2+n} = \lim_{n\to\infty}\boxed{5\left(1-\frac1{n+1}\right)} = \boxed{5}[/tex]

(c) As shown in (a), the partial sum is simplified because of the reasons given in options A and D, and the result of (b) says that B is also correct.

Answer:

Part a.  [tex]\displaystyle S_n = 5 - \frac{5}{n + 1}[/tex]

Part b.  [tex]\displaystyle \lim_{n \to \infty} (5 - \frac{5}{n + 1}) = 5[/tex]

Part c. A, B, and D

General Formulas and Concepts:

Algebra I

Terms/CoefficientsFactoring

Pre-Calculus

Partial Fraction Decomposition

Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                    [tex]\displaystyle \lim_{x \to c} x = c[/tex]Limit Property [Addition/Subtraction]:                                                         [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]

Sequences

Series

Definition of a convergent or divergent series

Telescoping Series:                                                                                             [tex]\displaystyle \sum^\infty_{n = 1} (b_n - b_{n + 1}) = (b_1 - b_2) + (b_2 - b_3) + (b_3 - b_4) + ... + (b_n - b_{n + 1}) + ...[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \sum^\infty_{n = 1} \frac{5}{n^2 + n}[/tex]

Step 2: Rewrite Sum

Factor:                                                                                                           [tex]\displaystyle \sum^\infty_{n = 1} \frac{5}{n^2 + n} = \sum^\infty_{n = 1} \frac{5}{n(n + 1)}[/tex]Break up [Partial Fraction Decomposition]:                                                 [tex]\displaystyle \frac{5}{n(n + 1)} = \frac{A}{n} + \frac{B}{n + 1}[/tex]Simplify [Common Denominator]:                                                                 [tex]\displaystyle 5 = A(n + 1) + Bn[/tex][Decomp] Substitute in n = 0:                                                                       [tex]\displaystyle 5 = A(0 + 1) + B(0)[/tex]Simplify:                                                                                                         [tex]\displaystyle 5 = A[/tex][Decomp] Substitute in n = -1:                                                                       [tex]\displaystyle 5 = A(-1 + 1) + B(-1)[/tex]Simplify:                                                                                                         [tex]\displaystyle 5 = -B[/tex]Solve:                                                                                                             [tex]\displaystyle B = -5[/tex][Decomp] Substitute in variables:                                                                 [tex]\displaystyle \frac{5}{n(n + 1)} = \frac{5}{n} + \frac{-5}{n + 1}[/tex]Simplify:                                                                                                         [tex]\displaystyle \frac{5}{n(n + 1)} = \frac{5}{n} - \frac{5}{n + 1}[/tex]Substitute in decomp [Sum]:                                                                         [tex]\displaystyle \sum^\infty_{n = 1} \frac{5}{n^2 + n} = \sum^\infty_{n = 1} \bigg( \frac{5}{n} - \frac{5}{n + 1} \bigg)[/tex]

Step 3: Find Sum

Find Sₙ terms:                                                                                                    [tex]\displaystyle \sum^\infty_{n = 1} \bigg( \frac{5}{n} - \frac{5}{n + 1} \bigg) = (5 - \frac{5}{2}) + (\frac{5}{2} - \frac{5}{3}) + (\frac{5}{3} - \frac{5}{4}) + (\frac{5}{4} - 1) + ... + ( \frac{5}{n} - \frac{5}{n + 1}) + ...[/tex]Find general Sₙ formula:                                                                               [tex]\displaystyle S_n = 5 - \frac{5}{n + 1}[/tex]Find Sum [Take limit]:                                                                                   [tex]\displaystyle \sum^\infty_{n = 1} \frac{5}{n^2 + n} = \lim_{n \to \infty} S_n[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]:                           [tex]\displaystyle \displaystyle \sum^\infty_{n = 1} \frac{5}{n^2 + n} = 5 + 0[/tex]Simplify:                                                                                                         [tex]\displaystyle \sum^\infty_{n = 1} \frac{5}{n^2 + n} = 5[/tex]

∴ the sum converges by the Telescoping Series.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Convergence Tests (BC Only)

Book: College Calculus 10e

Simplify (1 - sin x)(1 + sin x).
0 1
O cos^2 x
O sin^2 x
O tan^2 x

Answers

This would be cos^2x, because when you foil out the equation you get 1-sin^2(x).

1-sin^2(x)=cos^2(x)

- Mariah is looking at her bank account and sees that she is in debt $40. She plans to buy dinner
for several friends on Friday at $5 per meal. On Monday she earns $30.25 babysitting and
$25.75 for tutoring several younger students. On Tuesday, she cleans the apartment for her
mom and earns $11 dollars. She spends $2 of those dollars on a candy bar. How many friends
can she buy dinner for on Friday?

Answers

Answer:  5 friends

Note: if Mariah pays for her own meal, then it would drop to 4 friends.

===========================================================

Explanation:

Add up the amount she earns:

30.25+25.75+11 = 67

Now add up the amounts that she's either in debt or that she spends money on. Ignore the dinner portion for now.

40+2 = 42

She earns $67 total and has to spend $42, without including the dinner portion just yet. That means Mariah has 67-42 = 25 dollars left over.

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

Let x be the number of $5 meals she can buy

So she can spend a total of 5x dollars here. Set this equal to 25 (the amount left over) and solve for x.

5x = 25

x = 25/5

x = 5

She can buy dinner for 5 friends. Or if Mariah is paying for herself as well, then she can buy dinner for 4 friends. It's not clear which scenario your teacher is after, but I'll assume the first scenario.

Anyone willing to help on this worksheet?

Answers

Answer:

I am pretty sure it's #2 but wait for more ansawers because im not 100% sure.

Step-by-step explanation:

Answer:

Same I think it's B but I'm not entirely sure

Step-by-step explanation:

What is the slope of the line shown below?

Answers

Answer:

2

Step-by-step explanation:

Given two points on the line, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 7 - -3)/(3 - -2)

    = (7+3)/(3+2)

    = 10/5

    =2

Answer

The answer is 2

Whoever gets this problem right with proper work shown will get brainliest

Answers

Answer:

100 % or 1

Step-by-step explanation:

There are two dice

Each dice has a possible roll of 1,2,3,4,5,6

The possible sums are 2,3,4,5,6,7,8,9,10,11,12

The probability of getting a sum greater than 1 is 100 % or 1 since the outcomes are all greater than 1

1 or 100%





Hope this helps

Please help me thank you!!!

Answers

it would have to be B

Answer:

B

Step-by-step explanation:

To solve this use a unit circle (see pic)

Go to the 300 degree

Then look at the y coordinate (y coordinate because it's cosine)

Which matches with answer choice B

Are the two figures similar? if they are, solve for the missing side.

Answers

Answer:

They are not similar.

Step-by-step explanation:

26 / 13 = 2

24 / 11 = 2.18

They are not proportional which means that they don't have a scale factor and cannot be answered.

What is the factored form of the binomial expansion 625x4 – 3,000x3y + 5,400x2y2 – 4,320xy3 + 1,296y4?

(5x – 6y)4
(5x + 6y)4
(25x – 36y)2
(25x + 36y)2

Answers

Answer:

(5x – 6y)^4

Step-by-step explanation:

Given

[tex]625x^4 - 3000x^3y + 5400x^2y^2 - 4320xy^3 + 1296y^4[/tex]

Required

The factored form

Solving (a): (5x – 6y)^4

Expand using pascal triangle;

Exponent 4 is represented as: 1 4 6 4 1. So, we have:

[tex](5x - 6y)^4 = 1 * (5x)^4 + 4 * (5x)^3 * (-6y) + 6 * (5x)^2 * (-6y)^2 + 4 * (5x) * (-6y)^3 + 1 * (-6y)^4[/tex]

Expand:

[tex](5x - 6y)^4 = 1 * 625x^4 + 4 * 125x^3 * (-6y) + 6 * 25x^2 * 36y^2 + 20x * (-216y^3) + 1 * (1296y^4)[/tex]

Remove brackets

[tex](5x - 6y)^4 = 625x^4 - 3000x^3y + 5400x^2y^2 - 4320xy^3 + 1296y^4[/tex]

Hence, (a) is correct

The speed of train A is 6 mph slower than the speed of train B. Train A travels 190 miles in the same time it takes train B to travel 220 miles. Find the speed of each train.

Answers

Answer:

train A=38mph train B=44mph

Step-by-step explanation:

Setting up a table:

         s            t           d

A     x            190/x    190

B    x+6      220/x+6  220

Train A was 6mph slower as shown in the table, so to make it easier, train a is identified as x, train b would be x+6

Their distances are put in their respective column.

You find time from distance divided by speed.

So time would be written as such.

Since you know they take the same amount of time, for the equation, you connect them with an equal sign. Cross multiply to something like:

190(x+6)=220x

190x+1140=220x

1140=30x

x=38

You plug this in and get the speed for train A as 38, and train B as 44.

Hope this helps ^^

it takes engineer 3 hrs to drive to his brother's house at an average of 50 miles per hour. if he takes same route home, but his average speed of 60 miles per hour, what is the time, in hours, that it takes him to drive home?​

Answers

Answer:

t2 = 2.5 hours.

Step-by-step explanation:

The distance is the same.

d = r * t

The rates and times are different so

t1 = 3 hours

t2 = X

r1 = 50 mph

r2 = 60 mph

r1 * t1 = r2*t2

50 * 3 = 60 * t2

150 = 60 * t2

150 / 60 = t2

t2 = 2.5

Answer:

Answer: Travel Time is 2 hours & 30 minutes

Step-by-step explanation:

Original Journey Time is 3 hours, Speed is 50 mph, Distance is 150 miles

Original Distance is 150 miles, New Speed is 60 mph.

Also Combined Distance was 300 miles, Combined Time was 5 hours & 30 minutes. therefore: Average Speed for complete round trip is 54. 54 mph




I NEED MAJOR HELP WITH THIS QUESTION
Instriction; using the following image, solve for tbe trigonometry ratios of < D and < F .​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Since the triangle is right angled ; we can solve for x using Pythagoras :

x = hypotenus ; hence ;

x² = opposite² + adjacent²

x² = 15² + 8²

x² = 225 + 64

x² = 289

x = √289

x = 17

Using Trigonometry :

Sin D = side opposite D / hypotenus = 8/17

Cos D = side Adjacent D / hypotenus = 15 / 17

Tan D = side opposite D / Adjacent side = 8/15

Sin F = side opposite F / hypotenus = 15/17

Cos F = side Adjacent F / hypotenus = 8 / 17

Tan F = side opposite F / Adjacent side = 15/8

The function ƒ(x) = x−−√3 is translated 3 units in the negative y-direction and 8 units in the negative x- direction. Select the correct equation for the resulting function.

Answers

Answer:

[tex]f(x)=\sqrt[3]{x}[/tex]  [tex]3~units\: down[/tex]

[tex]f(x)=\sqrt[3]{x} -3[/tex] [tex]8 \: units \: left[/tex]

[tex]f(x+8)=\sqrt[3]{(x+8)} -3[/tex]

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

Hope it helps..

Have a great day!!

Answer:

its not B that what i put and i missed it

Step-by-step explanation:

If a snowball melts so that its surface area decreases at a rate of 8 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 11 cm. (Round your answer to three decimal places.)

Answers

Answer:

Step-by-step explanation:

I'm going to go through this as I would when teaching it to my students for the first time. This is a super simple one, so it shouldn't be too hard. Begin with what you know:

A snowball is a sphere. Since we are told that the surface area is changing (decreasing, to be exact), it would make sense to know the formula for the surface area of a sphere:

[tex]S=4\pi r^2[/tex] where r is the radius. Let's take the derivative of this using implicit differentiation to see what it is we need to solve this:

[tex]\frac{dS}{dt}=4\pi*2r\frac{dr}{dt}[/tex], where dr/dt is the rate at which the radius is changing. If we look at the problem, we are looking for the rate at which the DIAMETER is changing. So instead of using the radius in the original formula, we need to write it in terms of the diameter. We know that

d = 2r so

[tex]r=\frac{d}{2}[/tex] and we will put that into the formula for r to get:

[tex]S=4\pi(\frac{d}{2})^2[/tex] and simplify a bit:

[tex]S=4\pi(\frac{d^2}{4})[/tex] and the 4's cancel each other out, leaving us with simply:

[tex]S=\pi d^2[/tex] Now let's take the derivative:

[tex]\frac{dS}{dt} =\pi 2d\frac{dD}{dt}[/tex] where the rate of the surface area is -8 ("decreasing" rate makes this number a negative) when the diameter is 11. Filling in:

[tex]-8=\pi(2)(11)\frac{dD}{dt}[/tex] and solving for the rate at which the diameter is changing:

[tex]\frac{dD}{dt}=-\frac{8}{22\pi}[/tex] , which rounds to

[tex]\frac{dD}{dt}=-1.142\frac{cm}{min}[/tex] and again, the negative means that the diameter is decreasing.

A cube has an edge of 2.25 feet. The edge is increasing at the rate of 1.25 feet per hour. Express the volume of the cube as a function of h, the number of hours elapsed.

Answers

Answer:

[tex]V(h)=(1.25h+2.25)^3[/tex]

Step-by-step explanation:

Recall that the volume of a cube is given by:

[tex]\displaystyle V = s^3[/tex]

Where s is the side length of the cube.

The edges of the cube has an original length of 2.25 feet. It increases by 1.25 feet per hour. In other words, the length s after h hours can be modeled by the equation:

[tex]s=1.25h+2.25[/tex]

Substitute. Hence, our function is:

[tex]V(h)=(1.25h+2.25)^3[/tex]

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6
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6.6
What additional information must be known to prove the triangles similar by SSS?
A) No additional information is needed.
B) 2D = LJ
C) The lengths of DG and JL
D) .F.LK

Answers

Answer:

C) the length of DG and JL

A florist puts together a bouquet of roses for an order and picks 5 roses randomly from a bucket with red and white roses. Of the 9 roses in the bucket, 7 of them are white roses. What is the probability that the florist will pick 5 white roses?

Answers

Answer:

35/45 or 7/9

Step-by-step explanation:

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