Remy drinks 2/1/4 cups of water every 1/4/5 hours.

How many cups of water does he drink in 1 hour?

Answer:

172

Step-by-step explanation:

[tex]86[/tex] × 2 = 172

Answer:

Range is (-8,00)

Step-by-step explanation:

Using function concepts, it is found that the correct options are:

I and III only

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

The function is:

[tex]y = \frac{4}{x^2 - 4}[/tex]

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

Statement 1:

A function is even if: [tex]f(x) = f(-x)[/tex]

We have that:

[tex]f(x) = \frac{4}{x^2 - 4}[/tex]

[tex]f(-x) = \frac{4}{(-x)^2 - 4} = \frac{4}{x^2 - 4} = f(x)[/tex]

Since [tex]f(x) = f(-x)[/tex], the function is even, and the statement is true.

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

Statement 2:

The function increases when: [tex]f^{\prime}(x) > 0[/tex]

The derivative is:

[tex]f^{\prime}(x) = \frac{-8x}{(x^2-4)^2}[/tex]

The denominator is always positive, but the numerator can be both positive/negative, which means that when the numerator is negative(x > 0), the derivative will be negative, thus the function will decrease and the statement is false.

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

Statement 3:

A horizontal asymptote is given by:

[tex]y = \lim_{x \rightarrow \infty} f(x)[/tex]

In this question:

[tex]y = \lim_{x \rightarrow \infty} \frac{4}{x^2 - 4} = \frac{4}{\infty - 4} = \frac{4}{\infty} = 0[/tex]

y = 0 is the x-axis, thus, the statement is true, and the correct option is:

I and III only

A similar problem is given at https://brainly.com/question/23535769

Answer:

I and III

Step-by-step explanation:

Answer:

because only two of it's sides are parallel

Answer:

In this quadrilateral, opposite sides are not parallel. So, this quadrilateral is not a parallelogram.

Step-by-step explanation:

In Parallelogram, opposite sides are parallel

9514 1404 393

Answer:

  false

Step-by-step explanation:

The statement is nonsense (false). Regardless of the sign of a product, subtraction plays no part in anything related to it.

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

10.5 maps to x with a scale factor of 2/3:

  x = 10.5 × 2/3

  x = 7

Answer:

1. What is 0.252525 as a fraction?

0.252525 as a fraction equals 252525/1000000

2. 2.454545 as a fraction equals 2454545/1000000

Step-by-step explanation:

To write 0.252525 as a fraction you have to write 0.252525 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.252525 = 0.252525/1 = 2.52525/10 = 25.2525/100 = 252.525/1000 = 2525.25/10000 = 25252.5/100000 = 252525/1000000

And finally we have:

0.252525 as a fraction equals 252525/1000000

2. What is 2.454545 as a fraction?

To write 2.454545 as a fraction you have to write 2.454545 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

2.454545 = 2.454545/1 = 24.54545/10 = 245.4545/100 = 2454.545/1000 = 24545.45/10000 = 245454.5/100000 = 2454545/1000000

And finally we have:

2.454545 as a fraction equals 2454545/1000000

Thanks

Answer:

d=-4 and a=10

Step-by-step explanation:

The sum of a arithmetic sequence is given by (n/2)*(2a+(n-1)d). Comparing coefficients with the given Sn, we have; a-d/2=12 and d/2=-2, d=-4 and a=10.

Answer:

Option C

Angle C has the largest measure

Answer:

6.7

Step-by-step explanation:

The formula for volume is V=lwh.

320=(6)(8)x

Solve.

320=48x

Divide both sides by 48.

6.6666666=x

Round to the nearest tenth.

x=6.7

I hope this helps!

pls ❤ and give brainliest pls

Answer:

6.7 =x

Step-by-step explanation:

The volume is given by

V = l*w*h

320 = 8*6*x

320 =48x

Divide each side by 48

320/48 = 48x/48

6.6666666 = x

Rounding to the nearest tenth

6.7 =x

9514 1404 393

Answer:

Step-by-step explanation:

Let s represent the number of sodas sold. Then the number of hot dogs sold is (s-50) and the total is ...

  s +(s -50) = 218

  2s = 268 . . . . . . . . . add 50

  s = 134 . . . . . . . divide by 2

134 sodas were sold; 84 hot dogs were sold.

Answer:

B. The mean is less than the median.

Step-by-step explanation:

Say there was 20 kids: 10 kids(half) scored 86's, 3 kids(a few) scored 45's, and 7 kids(the remaining) scored 77's.

The median would be- 81.5 (chronological order, find the middle number)

The mean would be- 76.85 (sum of all the scores divided by the number of scores)

The mode would be- 86 (most frequent number)

The mean(76.85) is less than(<) the median(81.5)

Answer:

A

Step-by-step explanation:

horizontal component=18cos 36.9°≈14.39 m/s≈14.4 m/s

Vertical component=18 sin 36.9°≈10.81 m/s≈10.8 m/s

Answer:

perimeter = 50

Step-by-step explanation:

Tangents to a circle from an external point are congruent , then

perimeter = (8 + 8) + (10 + 10) + (7 + 7) = 16 + 20 + 14 = 50

Answer:

Q. 2   (d)

Step-by-step explanation:

4/3 x + 4 2/3

2(2/3)(x) + 14/3

2(2/3)(x) + 7(2/3)

take (2/3) common

2/3 (2x + 7)

ANSWER!

Answer:

7/18

Step-by-step explanation:

1/6 x 3 = 3/18

3/18 + 4/18 = 7/18

Answer:

7/18

Step-by-step explanation:

Make the denominators the same!

You can turn 1/6 into 3/18 by multiplying the numerator and denominator by 3. Then you add the numerators of 3/18 and 4/18 together to get 7/18.

It can't be simplified any further :)

Answer:

Step-by-step explanation:

a. tan 30/ sin 30 = (sin 30/cos 30) / sin 30 = 1 / cos 30, no

b. cos 30 = √3/2, yes

c. cos 60 tan 60 = cos 60 (sin 60/cos 60) = sin 60 = cos 30, yes

d. sin 60 = cos (90 - 60) = cos 30, yes

[tex]\bf{b.}\ \ \it cos30^o=\dfrac{\sqrt3}{2}\ \ (True)\\ \\ \bf{d.}\ \ \it sin60^o=cos(90^o-60^o)=cos30^o\ \ (True) \\ \\ \bf{c.}\ \it cos60^o\cdot tan60^o=cos60^o\cdot\dfrac{sin60^o}{cos60^o}=\dfrac{cos60^o}{cos60^o}\cdot sin60^o=1\cdot sin60^o=cos30^o\ (T)\\ \\ \\ \bf{a.}\ \ \it \dfrac{tan30^o}{sin30^o}=tan30^o\cdot\dfrac{1}{sin30^o}=\dfrac{sin30^o}{cos30^o}\cdot\dfrac{1}{sin30^o}=\dfrac{sin30^o}{sin30^o}\cdot\dfrac{1}{cos30^o}=\\ \\ \\ =1\cdot\dfrac{1}{cos30^o}=\dfrac{1}{cos30^o}\ \ne\ cos30^o[/tex]

Answer:

5/6 and 1/4

Step-by-step explanation:

In order to add and subtract fractions, you have to first find a common denominator for both fractions. So, for your first question 1/3 + 1/2, your common denominator would be 6 because it is the least common multiple. So, multiply the top and bottom of 1/3 by 2 to get 2/6 and multiply the top and bottom of 1/2 by 3 in order to get 3/6. Next add your products together 2/6 + 3/6 but only add the numerator, not the denominator. Finally you get, 2/6 + 3/6 = 5/6.

For your second equation, you basically do the same thing, but for the last part, you subtract instead. First, find the least common multiple (common denominator) for 2 and 4, which is 4. Since, 3/4 already has a denominator of 4, you don't have to change that fraction at all, just change 1/2. Next multiply the top and the bottom of 1/2 by 2 to get 2/4. Finally, subtract 3/4 - 2/4 = 1/4.

Hope this helps! Please mark Brainliest! :)

Answer:

1. 5/6

2. 1/4

Step-by-step explanation:

1. 1/3 + 1/2

Step 1. Find a common denominator for both fractions (by taking the denominator and finding their least common multiple)

Answer:

3: 3, 6, 9, 12, 15,…

2: 2, 4, 6, 8, 10,…

The least common multiple will be 6

So the new denominator for both fractions is 6

Step 2. Rewrite the fractions using the same denominator

Answer:

1/3 = ?/6 1/2 = ?/6

1/3 = 2/6 1/2 = 3/6

(To get the numerator of the fraction, note that to get the denominator by a number being multiplied by that number, that same number as to be multiplied to the numerator)

Step 3. Add (2/6 + 3/6)

Answer:

2/6 + 3/6 = 5/6

(Denominator stays the same when subtracting or adding)

——————————————————-

2. 3/4 - 1/2

Step 1. Find a common denominator for both fractions (by taking the denominator and finding their least common multiple)

Answer:

2: 2, 4, 6, 8, 10,…

4: 4, 8, 12, 16, 20,…

The least common multiple will be 4

So the new denominator for both fractions is 4

Step 2. Rewrite the fractions using the same denominator

Answer:

3/4 = ?/4 1/2 = ?/4

3/4 = 3/4 1/2 = 2/4

(To get the numerator of the fraction, note that to get the denominator by a number being multiplied by that number, that same number as to be multiplied to the numerator)

Step 3. Subtract (3/4 - 2/4)

Answer:

3/4 - 2/4 = 1/4

(Denominator stays the same when subtracting or adding)

•••••••••••••••••••••••••••••••••

Answer:

B. 7854.0 cm2

The area of a circle is given by A= π [tex]r^{2}[/tex] where r is the radius

So A= π[tex]50^{2}[/tex] = 7854.0 cm2

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Answer:

  c) 16,500 m³

  d) 277,088 mm³

  a) V = LWH

  b) V = πr²h

Step-by-step explanation:

The relevant volume formulas are ...

__

13c. The pyramid formula above tells us the volume is ...

  V = 1/3(60 m)(15 m)(55 m) = 16,500 m³

__

13d. The cylinder formula above tells us the volume is ...

  V = π(35 mm)²(72 mm) ≈ 277,088 mm³ ≈ 277 mL

__

14a. The shape appears to be a rectangular prism, so its volume is given by the formula ...

  V = LWH . . . . . where L, W, H represent the length, width, and height

__

14b. The volume of a cylinder is given by the formula ...

  V = πr²h . . . . . where r, h represent the radius and height (length)

Answer:

C

Step-by-step explanation:

Answer:

0.0049 = 0.49% probability that I spend more than 2 hours and 10 minutes waiting for the bus in one month.

Step-by-step explanation:

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.

n instances of a normal variable:

For n instances of a normal variable, the mean is:

[tex]M = n\mu[/tex]

[tex]s = \sigma\sqrt{n}[/tex]

Mean of 4 minutes, standard deviation of 0.5 minutes:

This means that [tex]\mu = 4, \sigma = \sqrt{0.5}[/tex]

30 days:

[tex]M = 30(4) = 120[/tex]

[tex]s = \sqrt{0.5}\sqrt{30} = \sqrt{0.5*30} = \sqrt{15}[/tex]

What is the probability that I spend more than 2 hours and 10 minutes waiting for the bus in one month (30 days)?

2 hours and 10 minutes is 2*60 + 10 = 130 minutes, so this probability is 1 subtracted by the p-value of Z when X = 130. So

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

In this context, due to the 30 instances of the normal variable:

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

[tex]Z = \frac{130 - 120}{\sqrt{15}}[/tex]

[tex]Z = 2.58[/tex]

[tex]Z = 2.58[/tex] has a p-value of 0.9951.

1 - 0.9951 = 0.0049

0.0049 = 0.49% probability that I spend more than 2 hours and 10 minutes waiting for the bus in one month.

Answer:

Years = natural log (Total / Principal) / Rate

Years = natural log (1,000,000 / 2,500) / .02

Years = natural log (400) / .02

Years =  5.9914645471 / .02

It would take  299.573227355 Years

Source: http://www.1728.org/rate2.htm

Step-by-step explanation:

Answer:

5≤x≤7

Step-by-step explanation:

For a given function f(x), the average rate of change in a given interval:

a ≤ x ≤ b

is given by:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Here we have:

f(x) = 4*log(x + 2)

And we want to see which interval has the smallest average rate of change, so we just need fo find the average rate of change for these 4 intervals.

1)  1≤x≤3

here we have:

[tex]r = \frac{f(3) - f(1)}{3 - 1} = \frac{4*log(3 + 2) - 4*log(1 + 2)}{2} = 0.44[/tex]

2)  5≤x≤7

[tex]r = \frac{f(7) - f(5)}{7 - 5} = \frac{4*log(7 + 2) - 4*log(5 + 2)}{2} = 0.22[/tex]

3) 3≤x≤5

[tex]r = \frac{f(5) - f(3)}{5 - 3} = \frac{4*log(5 + 2) - 4*log(3 + 2)}{2} = 0.29[/tex]

4) −1≤x≤1

[tex]r = \frac{f(1) - f(-1)}{1 - (-1)} = \frac{4*log(1 + 2) - 4*log(-1 + 2)}{2} = 0.95[/tex]

So we can see that the smalles average rate of change is in 5≤x≤7

Answer:

990/23

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

23 × 43 = 989

Step 2

Add the answer from Step 1 to the numerator

989 + 1 = 990

Step 3

Write answer from Step 2 over the denominator

990/23

Answer:

b^2

Step-by-step explanation:

You're going to add the exponents from b x b, both carry a 1 in their powers (or exponents)

so b^1 + b^1 = b^2

Answer:

b^2

Step-by-step explanation:

b*b = b^2

Answer:

16 x -3 and 16-3

Step-by-step explanation:

If you multiply 16 and -3 you get -48 and if you subtract 3 from 16 you get 13 (hope this helped) :)

Answer:

the answer is B ...Extreme Values

Answer:

SA = 153.9m^2

Step-by-step explanation:

SA = 4[tex]\pi[/tex][tex]r^{2}[/tex]

r = 3.5

SA = 4[tex]\pi[/tex][tex](3.5)^{2}[/tex]

SA = 4[tex]\pi[/tex](12.25)

SA = 49[tex]\pi[/tex]

SA = 153.9m^2