How many 0.4−liter glasses of water does it take to fill up a 3.4−liter pitcher?

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

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Answer:

A 9%

Step-by-step explanation:

There are 100 boxes and only 9 are shaded so a fraction of that would be 9/100 so if you convert that to a percentage it would be 9% of the boxes

so therefor 9% is you answer

No the given relation is not a function because for one input we are getting two different values of output which negates the definition of the function.

A relation is said to be a function when each and every element of domain has a unique and distinct image means we will get only one output per input.So

Hence the given relation is not a function.

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The given relation is not a function because for each input (x-value), there is not exactly one output (y-value).

In a function, each input (x-value) should have only one corresponding output (y-value). However, in this relation, the input value of 1 has two different output values: -2 and 3. Therefore, it violates the definition of a function.

To illustrate this, let's look at the points (-2, 0), (1, -2), and (1, 3). The x-value of 1 appears twice in the relation, but it has two different y-values associated with it. This means that for the input value of 1, there is not exactly one output value, which is why the given relation is not a function.

In conclusion, the relation is not a function because for each input there is not exactly one output.

Answer:

3 * 5x

3 * 5(2)

3 * 10

30

The number of pages read after 7 days by Audrey will be 20 pages and David will be 140 pages.

im pretty sure this is it! good luck :)

Answer: Select A and D

Answer: 6.25,-5

Step-by-step explanation:

all you have to do is go along the x and then the y-axis. the point is roughly 6.25 and because the y-axis is below 0 it will be minus therefore -5.

Answer:

-6.809 > -6.812|

-6.809| < -6.812|

Step-by-step explanation:

Answer:

-6.809 > -6.812 and |-6.809| < |-6.812|

Step-by-step explanation:

-6.809 is greater than -6.812 because the number is more closer to zero.

A negative number more closer to zero is greater than a negative number that is farther away from zero.

Also, |6.809| <| -6.812| Because the absolute value for both numbers is 6.809 and 6.812 meaning the number 6.812 is greater than the number 6.809.

To determine the best prediction about the number of students who prefer ice cream, let's analyze the data provided in the table. According to the table, out of the 225 surveyed students:

Ice Cream: 81 students

Candy: 9 students

Cake: 72 students

Pie: 36 students

Cookies: 27 students

To estimate the number of students who prefer ice cream among the 5,000 total students, we can use the proportions:

Ice Cream proportion = (Number of Ice Cream preference) / (Total surveyed students)

Ice Cream proportion = 81 / 225

To estimate the number of students who prefer ice cream among the 5,000 total students, we can multiply the Ice Cream proportion by the total number of students:

Estimated number of Ice Cream preferences = Ice Cream proportion * Total students

Estimated number of Ice Cream preference = (81 / 225) * 5000

Calculating the estimated number of students who prefer ice cream:

Estimated number of Ice Cream preference = (0.36) * 5000

Estimated number of Ice Cream preferences ≈ 1800

Therefore, the best prediction about the scoops of ice cream the college will need is:

The college will have about 1,800 students who prefer ice cream.

So, option A is the correct answer.

Answer: I think it’s option A

Step-by-step explanation:

the answer is hello like from grout

Answer:

8

Step-by-step explanation:

area = bh/2

32.4 yd² = 8.1 yd × s / 2

s = 8 yd

Answer:

4 is the right answer

Step-by-step explanation:

1) 6.50

2) 6.00

3) 7.00

4) 7.20

Answer:

50

Step-by-step explanation:

could i have brainliest plz i need one more thx

Answer:

84 ounces

Step-by-step explanation:

Total pounds of popcorn bought = 64 pounds

1/4th kept for family ==> 1/4 * 64 = 16 lbs

Remainder = 64-16 = 48 lbs

1/8th of remainder to club ==> 1/8 * 48 = 6 lbs to club

Remainder left over = 48-6 = 42 lbs

Distributed 42 lbs between each of 8 friends equally
Each friend gets 42/8 lbs = (42/8) * 16 = 84 ounces

Since there are 16 ounces in a pound

From the given information each friend receives 84 ounces of popcorn.

Let's solve the problem using thee concept of Fractions

1. Miriam bought 64 pounds of popcorn.

2. She kept 1/4 of the popcorn for her family. So, the amount of popcorn left after this step is \(\(64 \times \frac{3}{4}\)\).

Now, let's calculate the popcorn remaining after Miriam keeps some for her family:

\(\(64 \times \frac{3}{4} = 48\)\) pounds.

Next, Miriam gave 1/8 of the remaining popcorn to her club, leaving her with \(\(48 \times \frac{7}{8}\)\) pounds.

Now, let's calculate the popcorn remaining after Miriam gives some to her club:

\(\(48 \times \frac{7}{8} = 42\)\) pounds.

Finally, she distributed the rest equally among 8 friends. To find out how much each friend gets, we'll divide the total popcorn left by the number of friends:

Amount each friend gets =\(\(\frac{42}{8}\)\) pounds.

The problem asks for the answer in ounces, not pounds.

To convert pounds to ounces, we know that 1 pound is equal to 16 ounces. So, to get the amount of popcorn each friend gets in ounces, we'll multiply the previous answer by 16:

Amount each friend gets = \(\(\frac{42}{8} \times 16\)\) ounces.

Amount each friend gets = \(\(84\)\) ounces.

So, each friend will get 84 ounces of popcorn.

In summary, Miriam's 64 pounds of popcorn were reduced to 42 pounds after sharing with her family and club. Finally, the remaining popcorn was divided equally among her 8 friends, with each friend receiving 84 ounces.

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Answer: The expression would be 2b+7

Step-by-step explanation:

b will be the number of blue beads for the bracelet.

The number of red beads will be represented as b + 7.

Determine the expression for the total number of beads.

Then we can written it as,

= b + (b +7)

= 2b + 7.

Answer: The icicle is getting shorter at a constant rate of 0.4 inches per hour.

Step-by-step explanation:

Answer:

0.4; for every additionional hour

Answer:

Step-by-step explanation:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Answer:

Step-by-step explanation:

Explanation:

Marc is assembling gift bags. For every 2 pencils he places in the bag, he uses 3 stickers.

For 4 pencils, he uses 3 + 3 = 6 stickers

For 6 pencils, he uses 6 + 3 = 9 stickers

For 8 pencils, he uses 9 + 3 = 12 stickers

Answer:

The mean is 42, rounded to the nearest cant would be 42.00. IF this helped subscribe to Amiredagoat Yt

Step-by-step explanation:

Answer:

(-36+4)+9=-23

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

This 12-sided die has 6 surfaces (sides) numbered less than 7.  Thus,

P(rolling a number less than 7) = 6/12 = 1/2

Answer:

area of figure= area of rectangle+area of semi-circle

area of rectangle= length ×width

5×4

= 20in²

area of semi circle= 1/2πr²

1/2×22/7×2×2

22×2

7

44

7

= 6.29in²

area of figure= 20+6.29

= 26.29in²

The area of the figure is the combined area of the rectangle and the two semicircles which are 26.29in².

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The area of figure= area of rectangle + area of the semi-circle

The area of rectangle = length ×width

                                     = 5 × 4

                                     = 20in²

The area of semi circle = 1/2πr²

                                       = 1/2×22/7×2×2

                                       = 6.29in²

The area of figure= area of rectangle + area of the semi-circle

= 20 + 6.29

= 26.29in²

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Answer:

D 8 hours

Step-by-step explanation:

it has to be positive and it is obviously more than 1 hour so it has to be 8 hours by process of elimination.

Answer:

The Point in the coordinate plane is A(-5,-4)

Perpendicular or shortest Distance from line y=3 that is (-5,3) to point (-5,-4) is

When it is reflected through the line, y=3, the coordinate of point A (-5,-4) changes to (-5,3+7)= B(-5,10).

Now, the Point B is translated by the rule , (x,y)—->(x+6,y),

So,the point B is translated to, (-5+6,10)=(1,10)

(1,10) is the glide reflection of point A(-5,-4).

Step-by-step explanation:

Answer:

19/6

Step-by-step explanation:

make them all with a denominator of 6:

5/6 + 30/6 - 4/6 - 12/6 = 19/6

Answer:

He will be exactly twice as old as his sister in -8 years. Logically, he can't age backward, but this is the answer.

Answer: hope this helps ♡

Jack will be twice as old as his sister in -8 years.

Step-by-step explanation:

If Jack could age backwards, he would be twice as old as his sister in -8 years.

Jack = 12

Amy = 2

2*2 (Amy) = 4

12 - 8 = 4  (we got 8 by subtracting amy's age from jack's age: 12-2=8)

4 is double 2.