what is 488 rounded to the nearest hundred

Answers

Answer 1

Answer:

500

Step-by-step explanation:


Related Questions

Evaluate using L'Hopital's rule:

[tex]\lim_{x \to 1^{+}} (x - 1)^{lnx}[/tex]

Answers

Answer:

[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)}=1[/tex]

Step-by-step explanation:

We are given:

[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)[/tex]

And we want to evaluate it using L'Hopital's Rule.

First, using direct substitution, we will acquire:

[tex]=(1-1)^\ln(1)}=0^0[/tex]

Which is indeterminate.

In order to apply L'Hopital's Rule, we first need to manipulate the expression. We will let:

[tex]y=(x-1)^\ln(x)[/tex]

By taking the natural log of both sides:

[tex]\ln(y)=\ln(x)\ln(x-1)[/tex]

And by taking the limit as x approaches 1 from the right of both functions:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=\lim_{x\to 1^+}\ln(x)\ln(x-1)[/tex]

Rewrite:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{\ln(x-1)}{\ln(x)^{-1}}[/tex]

Using direct substitution on the right will result in 0/0. Hence, we can now apply L'Hopital's Rule:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{1/(x-1)}{-\ln(x)^{-2}(1/x)}[/tex]

Simplify:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{1/(x-1)}{-\ln(x)^{-2}(1/x)}\Big(\frac{-x\ln(x)^2}{-x\ln(x)^2}\Big)[/tex]

Simplify:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}-\frac{x\ln(x)^2}{x-1}[/tex]

Now, by using direct substitution, we will acquire:

[tex]\displaystyle \Rightarrow -\frac{1\ln(1)^2}{1-1}=\frac{0}{0}[/tex]

Hence, we will apply L'Hopital's Rule once more. Utilize the product rule:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}-(\ln(x)^2+2x\ln(x))[/tex]

Finally, direct substitution yields:

[tex]\Rightarrow -(\ln(1)^2+2(1)\ln(1))=-(0+0)=0[/tex]

Thus:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=0[/tex]

By the Composite Function Property for limits:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=\ln( \lim_{x\to 1^+}y)=0[/tex]

Raising both sides to e produces:

[tex]\displaystyle e^{\ln \lim_{x\to 1^+}y}=e^0[/tex]

Therefore:

[tex]\displaystyle \lim_{x\to 1^+}y=1[/tex]

Substitution:

[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)}=1[/tex]

Guided Practice


Find the range of the function rule y = 5x – 2 for the domain.


{–1.2, 0, 4}


A.
{–8, –2, 18}


B.
{–4, 2, 22}


C.
{0.16, 0.4, 1.2}

Answers

Answer:

A. {–8, –2, 18}

Step-by-step explanation:

y = 5x − 2

x = −1.2 ----> y = 5(−1.2) − 2 = −6 − 2 = −8

x = 0 -----> y = 5(0) − 2 = 0 − 2 = −2

x = 4 -----> y = 5(4) − 2 = 20 − 2 = 18

Please someone help me !!! Thanks

Answers

Answer:

hard to read, can you take another picture please?

Step-by-step explanation:

8 = 3a – 4
what is value of a ?

Answers

Answer:

a=4

Step-by-step explanation:

8=3a-4

12=3a

a=4

Solve for x 6 = 2( x + 0)

Answers

Answer:

x = 3

Step-by-step explanation:

Answer: x = 3

Step-by-step explanation:

Esis inversely proportional to t.
When s = 0.8, t = 7
Work out t when s = 70

Answers

Answer:

t=0.08

Step-by-step explanation:

see attached kindly

9. Cal is buying T-shirts and shorts. T-shirts
cost $12 and shorts cost $25. He plans
on spending no more than $160 and
wants to buy at least 5 items.
a. Write a system of linear inequalities
that represents the situation.
b. Graph the inequalities.

Answers

Hey there!

Step By Step:

Well so we know that 12 is about half of an 25. So what we are gonna do is to buy 3 of 12$ and 2 of 25$.

3x12=36 and 2x25=50.

With adding those two last numbers, you’ll get $86.

Graph would be down below.

Hope it helps :D

Please help me with this

Answers

Answer:

i cant help you with this sorry

Step-by-step explanation:

The vertex of the graph of g(x) = 3|x| + 4 is

Answers

The answer is (0,4).....


- 6(x + 2) = 30
- 6(x + 2) = 30
- 6x + (- 12) = 30
The solution is -

Answers

Answer:

-7

Step-by-step explanation:


Answer :
x = -7



Step-by-step explanation:


- 6(x + 2) = 30
- 6(x + 2) = 30
- 6x + (- 12) = 30
-6x -12 = 30
-6x = 30 +12
-6x =42
x = 42/-6
x = -7

A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?

Answers

Answer:

The dimensions are:

Length = 5m and Width = 4m

Or

Length = 4m and Width = 5m

Step-by-step explanation:

A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?

Area of a rectangle = Length × Width

= LW = 20 m²

Perimeter of a rectangle =

2L + 2W = 18 m

Hence:

LW = 20...... Equation 1

L = 20/W

2L + 2W = 18 ...... Equation 2

We substitute

20/W for L in Equation 2

2(20/W) + 2W = 18

40/W + 2W = 18

Multiply through by W

40 + 2W² = 18W

2W² - 18W + 40 = 0

2W² - 10W - 8W + 40 = 0

(2W - 8 )(W - 5) = 0

2W - 8 = 0

2W = 8 , W = 8/2 = 4m

W - 5 = 0

W = 5m

W = 4m or 5 m

Solving for L

When W = 5 m

L = 20/W

L = 20/5

L = 4m

When W = 4m

L = 20/W

L = 20/4

L = 5m

Therefore, the dimensions are:

Length = 5m and Width = 4m

Or

Length = 4m and Width = 5m

The boiling point of water is 212 degrees. To make a cup of tea, water is boiled, poured into a mug with tea leaves, and set to steep for 4 minutes. In that time, the temperature of the tea reduces to 115 degrees when it is in a room that is 68 degrees. Write an equation for the cooling curve of the tea in this particular room. Round parameters to the nearest 6th decimal place.​

Answers

Answer:ugh is there an picture maybe i can understand it better?

Step-by-step explanation:

do i add 40 + 45? Or multiply

Answers

Answer:

you add 40+45

Step-by-step explanation:

40+45=85

then you subtract 180 - 85 = 95

then divide x into 95 that will give you x=95

What is the area of triangle ABD?

Answers

Answer:

12 because u use the other shapes to reference your measurements.

Write the following while number as it’s English word equivalent

Answers

Answer:

eight hundred seventy-five thousand six hundred eighty-seven

hope this helps :)

Eight hundred and seventy five thousand six hundred and eighty seven

Help me please im stuck

Answers

I would say tablets because they have had a steady increase year by year

what is 7 divided by 10 as a fraction

Answers

The fractional form is 7/10.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

We have to divide 7 by 10.

The common factor for 7 and 10

7 = 7 x 1

and, 10= 2 x 5 x 1

so, there is only one factor common is 1.

Thus, the fraction is 7/10.

Learn more about Equivalent Fraction here:

https://brainly.com/question/29766013

#SPJ2

6.) A homeowner must reduce the use of his home's electricity. The home
currently consumes 25.7 kwh (kilowatt hours) of electricity per day, and the
homeowner must reduce the use by 20%. How many kwh will he be
reducing his energy by?

Answers

Answer:

la eneria es muy importante

How many solutions are there to the equation below?
12x + 6 = 5x
O A. Infinitely many
B. 1
C. O
BMIT

Answers

I tried to solve this and I got the answer B

Please answer <3
❤️URGENT 20 EACH❤️ty

Answers

Answer:

x=7

Step-by-step explanation:

∠STP=∠SWT+∠TSW(exterrior ∠ of Δ)

15x=7x+1+7x+6

x=7

How to find the line of reflection on a graph?

Answers

Answer:

can you show us the graph

I need help with this

Answers

The answer is 5
Hope this helps if it does please consider making my answer brainliest

(NEED HELP, IMPORTANT)
Identify the function shown in this graph.

Answers

the answer should be C

Simply 5 sin theta sec theta

Answers

Answer:

d 5 tan theta

Step-by-step explanation:

5 sin theta x 1/cos theta

5 (sin theta/cos theta)

5 tan theta

D 5 than theda is what it would be

Gina has been offered a job as a dog walker. Each week Gina works, she gets a flat amount of $10, plus an additional $5 per dog walked. Gina's goal is to earn at least $75 each week. Which inequality can be used to find the number of dogs Gina must walk in a week in order to reach her goal?

Answers

Answer:

13

Step-by-step explanation:

Given data

flat amount =$10

let the number of dogs walked be x

and let the money earned be y

y= 10+5x

for y= 75

let us find x

75= 10+5x

75-10= 5x

65= 5x

divide both sides by 5

x= 65/5

x=13

Hence the number of dogs is 13

Solve 12x-5>-2 please

Answers

Answer:

[tex]x > \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]12x - 5 > - 2[/tex]

Lets add +5 in both the sides.

[tex] = > 12x - 5 + 5 > - 2 + 5[/tex]

[tex] = > 12x > 3[/tex]

Now lets divide 12 on both the sides.

[tex] = > \frac{12x}{12} > \frac{3}{12} [/tex]

[tex] = > x > \frac{1}{4} [/tex]

what is the solution in ³√3-x=³√2x​

Answers

Answer:

3√3−x=3√2x

Graph each side of the equation. The solution is the x-value of the point of intersection.

x≈0.46567646

image of graph

Step-by-step explanation:

Hope it is helpful.....

Simplify the expression (-6+3i)+(6+4i)

Answers

Answer:

7i

Explanation:

(-6 + 3i) + (6 + 4i)

-6 + 6 = 0

3i + 4i = 7i

7i
Answer:
7i

Explanation:

Simplifying is done by combining in this scenario by combining terms in the expression.

the hypotenuse of a triangle is 17 yds long and leg one is 8yds long what is the length of leg two

Answers

Answer:

15

Step-by-step explanation:

8^2 + b^2 = 17^2

64 + b^2 = 289

289 - 64 = 225

square root of 225 = 15

what's the value of x with 125° and 31°​

Answers

24.8% because 31 is the percentage of 125
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