Lillian spent 18 minutes practicing her spelling words. How many seconds did she practice?

Answer:

  -∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞

Step-by-step explanation:

The domain of any polynomial is "all real numbers." The domain of any rational function excludes any values of the variable that result in the denominator being 0. The function is "undefined" there.

__

  [tex]v(x)=\dfrac{x^2-25}{2x^2+13x+15}=\dfrac{(x+5)(x-5)}{(x+5)(2x+3)}\qquad x\notin \{-5,-\dfrac{3}{2}\}[/tex]

The values x=-5 and x=-3/2 make the denominator of v(x) become 0, so those values are excluded from the domain of v(x). The function is "undefined" when its denominator is zero.

  -∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞

_____

Additional comment

The numerator and denominator factors (x+5) cancel each other, so there is no vertical asymptote at x=-5. Rather, the function has a "hole" there, where it is undefined. The limit as the function approaches x=-5 from either direction is v(x) = 10/7.

Answer:

-4

Step-by-step explanation:

y=2-9×(2/3)=2-6= -4

Answer:

22.5

Step-by-step explanation:

8 pieces is 180 calories to find the calorie of one piece :

180/8 to get 22.5

By dividing the figure into a rectangular prism and a pyramid, we will see that the total volume is 2,400 ft^3

We can divide the given figure into two simpler ones.

A rectangular prism of 20 ft by 10 ft by 10 ft, whose volume is the product of these dimensions:

V = 20ft*10ft*10ft = 2,000 ft^3

And a pyramid of 4 sides, with a height of 6ft and a base of 20ft by 10ft, and we know that the volume of the pyramid is one-third of the product between the base and the height.

V' = (1/3)*6ft*(20ft*10ft) = 400ft^3

Then the total volume of the given figure is:

volume = V + V' = 2,000ft^3 + 400ft^3 = 2,400 ft^3

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The market share of the companies is an illustration of fractions.

The market share of each company in the long run (i.e. after 6 months) is 37/108, 35/216 and 1/108, respectively

The current market shares are:

After 6 months, we have:

Company A:

Company B:

Company C:

The amount of customers lost by each company is

Lost = Market share * [Share retained - Share lost to the other two companies].

So, we have:

A = 2/9 * [3/4 - 1/6 - 1/12] = 1/9

B = 4/9 * [1/2 - 1/3 - 1/6] = 0

C = 1/3 * [3/8 - 1/4 - 3/8] = -1/12

The amount of customers gained by each company is

Gain = Market share of company gained from * Share gained

So, we have:

A = 1/3 * 4/9 + 1/4 * 1/3 = 25/108

B = 1/6 * 2/9 + 3/8 * 1/3 = 35/216

C = 1/12 * 2/9 + 1/6 * 4/9 = 5/54

The total gain in 6 months is:

Total Gain = Gain + Loss.

This gives

A = 25/108 + 1/9 = 37/108

B = 35/216 + 0 = 35/216

C = 5/54 - 1/12 = 1/108

Hence, the market share of each company in the long run (i.e. after 6 months) is 37/108, 35/216 and 1/108, respectively

Read more about fractions at:

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If the interest per quarter is 4% (but interest is only compounded annually), then it will take (72 / 4) = 18 quarters or 4.5 years to double the principal. If the population of a nation increases at the rate of 1% per month, it will double in 72 months, or six years. Hope this helps ! Have a good day! :)

Answer:

The function h(x) is increasing on the interval (-2, ∞)

Step-by-step explanation:

Given function:  [tex]h(x)=3 \sqrt{x+2}[/tex]

We cannot square root a negative number, therefore the domain (x-values) is restricted:

[tex]x+2\geq 0 \implies x\geq -2[/tex]

Therefore, [tex]h(x)\geq 0[/tex]

⇒ The function h(x) is increasing on the interval (-2, ∞)

Answer:

FLVS ANSWER D-  The function h(x) is increasing on the interval (–2, ∞).

Step-by-step explanation:

you dont need one

Answer:

I think it is B) 1/5, but I am not sure.

Answer:

Step-by-step explanation:

Answer:

coke red

Step-by-step explanation:

correct me if im wrong

Answer:

cos θ = 4/5

Explanation given below in the image,

I hope my answer helps you.

Answer:

B

Step-by-step explanation:

Combine like terms

8x + x = 9x

Put the numbers in the correct format

x³ + 9x + 5

This type of equation is a cubic trinomial because it has 3 terms and the first term is x cubed.

I hope this helps and please mark me as brainliest!

Answer:

The answer is B

Step-by-step explanation:

It is a cubic and a trinomial

Answer:

2.054

Step-by-step explanation:

put the value of x in f(x)

Answer:

Use the geometric sequence formula since you are multiplying each town's villagers by the amount your teacher gave you.

Step-by-step explanation:

Plug in the parts of the formula from the numbers given in the question, then you can calculate the number of villagers needed for the 15th town.

Answer:

35.375 Villagers Live in the 15th village

Step-by-step explanation:

Brennan can use the Geometric Sequence formula to predict the number of villagers in the 15th town.

(work attached)

Answer:

48×4.3=184 and that is the easy way how to do it

Answer:

28.26 ft squared

Step-by-step explanation:

Area is pi*r^2

3.14*(3)^2

3.14*9

28.26

Answer:

[tex]x=-7,-3[/tex]

Step-by-step explanation:

Completing the square means you are changing the polynomial so that it is a perfect square trinomial. Since the middle term is 10, we need the last term to be 25 since 5+5=10, thus, 5*5=25:

[tex]x^2+10x+21=0\\x^2+10x+21+4=0+4\\x^2+10x+25=4\\(x+5)^2=4\\x+5=\pm2\\x=-7,-3[/tex]

As you can see, because we change [tex]x^2+10x+21[/tex] to [tex]x^2+10x+25[/tex] by adding 4 to both sides, we were able to reduce it to [tex](x+5)^2[/tex], a perfect square, and solve the rest of the problem.

Answer:

P(M &C) = 0.24

Step-by-step explanation:

Chemistry book will be denoted by C

Mathematics book will be denoted by M

5C2 = 10

There are 10 possible ways in which she can choose two books from the 5 books.

The probability of choosing a chemistry book:

P(C) = 2/5

The probability of choosing a mathematics book:

P(M) = 3/5

Probability of choosing a chemistry book and a mathematics book:

P(M &C) = (2/5) × (3/5)

P(M &C) = 0.24 or 24%

The probability that she pulls out a math book and a chemistry book will be 0.24.

The term probability refers to the likelihood of an event occurring

Given that;

Julia has 2 chemistry books and 3 math books.

Now,

Since, Julia has 2 chemistry books and 3 math books.

Hence, Total number of books = 2 + 3 = 5

So, The probability to choosing a chemistry book = 2/5

And, The probability to choosing a math book = 3/5

Thus, The probability that she pulls out a math book and a chemistry book is,

⇒ 2/5 × 3/5

⇒ 6/25

⇒ 0.24

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Answer:

ok so this is just multiplycation

30% is also 0.3 so

280*0.3=84

84 minutes or

1 hour 24 minutes

Hope This Helps!!!

Answer: 23810645.03820431-24

Step-by-step explanation:

Used my brain :)

cos θ = Adjacent/ hypotenuse

cosθ= 5/13

a²+b²= c²

a² + 5² = 13²

a² = 13² - 5²

a² = 144

a=√144

a= 12

a is the opposite = 12

b is the Adjacent = 5

c is the hypotenuse = 13

a) tan θ= opposite/Adjacent

tan θ = 12/5

b) sin θ= opposite/ hypotenuse

sinθ= 12/13

C) sec θ= hypotenuse / Adjacent

sec θ= 13/5

d) cscθ= hypotenuse /opposite

cscθ= 13/12

e) cotθ=Adjacent/ opposite

cotθ= 5/12

Answer:

9, 40, and 42

Step-by-step explanation:

Answer:

9, 40,and 42 is the answer

Step-by-step explanation:

Answer:

1 Shirt and 185cm remaining cloth

Step-by-step explanation:

2m and 15cm = 215cm

40m = 400cm

400/215=1.860465116

A shirt cant be in decimal so we remove the decimals, and take the as the answer. For the decimals, they are the remaining cloth.. to calculate the amount of remaining cloth we do:

1.860465116-1

=860465116

215*860465116=185cm

Using proportions, it is found that the total cost of gasoline and rental for the trip is of $253.

A proportion is a fraction of a total amount.

In this problem, the total cost is composed by:

Hence, the total cost is given by:

C = $3.85 x 40 + $99 = $253.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

C = $3.85 x 40 + $99 = $253.

Step-by-step explanation:

I took the test

Answer:

C. (2,7)

Step-by-step explanation:

2x+3 = 3x+1

x=2

y= 2×2+3

y=7

Answer:

3

Step-by-step explanation:

3/10 = .3

Step-by-step explanation:

ang xoz = ang yoz + 5x+16

77 = 44 + 5x+16

77 = 5x+60

5x= 17

x= 3.4

The statement which correctly compares the two functions is that they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

A function assigns the value of each element of one set to the other specific element of another set.

Function g is represented by the table.

The line plotted with these data is shown below where y represent the g(x).

In this line,

Thus, the statement which correctly compares the two functions is that they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

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Answer:

-509

Step-by-step explanation:

1. Subsitute 5 for a in the expression.  -6(5)^3+8(5)^2+8(5)+1

2. -6(125)+8(25)+40+1

3. -750+200+41

4. -509