Ken drinks 2/7 of a carton of milk each day. How much milk does he drink in 3 days. Be sure to show your work or explain your reasoning

Answer:

[tex]35x - \frac{9x^2}{2} + C[/tex]

Step-by-step explanation:

The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.

Thus 35 - 9x becomes [tex]35x - \frac{9x^2}{2} + C[/tex]. We add a constant C for any possible constant that was eliminated during differentiation.

Answer:

Width is 2 feet and the length is 6 feet.

Step-by-step explanation:

The area of a rectangle is A = l*w. Here the length is 4 feet more than the width or 4 + w and the width is w. So the area is A = w(4+w) = 4w + w²

If the dimensions are changed then the expressions will change. The width is increased by 3 feet. This means the width w becomes w + 3. The length is increased by 3 feet. This means the length becomes 4 + w + 3 = 7 + w. So the area of the new triangle is A = (w+3)(7+w) = w² + 10w + 21.

The new area is 33 feet longer. We can add 33 to the original area then set them equal to each other and solve for w.

w² + 10w + 21 = 33+4w + w²                Subtract w² from both sides.

10w + 21 = 33+4w                                 Subtract 4w from both sides.

6w + 21 = 33                                         Subtract 21 from both sides.

6w = 12                                                 Divide by 6.

w = 2 feet

The original width w is 2 feet. This means the original length which was 4 + w = 4 + 2 = 6 feet.

To solve the problem, set up two equations based on the given information, substituting the first equation into the second to solve for 'w' (width) and 'l' (length) - the original dimensions of the rectangle.

To solve this problem, we'll first set up two equations based on the information provided in the question. Let's use 'w' to represent the width of the original rectangle and 'l' to represent its length. According to the problem, we know that:

Substitute the first equation (l = w + 4) into the second to find w and then l. This is the system of equations needed to find the original dimensions of the rectangle.

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Answer:

the answer is:

b. x=10^2

ANSWER

b. x=10²

EXPLANATION

The logarithmic equation is:

[tex] log(x) = 2[/tex]

Note that this is the common logarithm, so it has a base of 10.

[tex] log_{10}(x) = 2[/tex]

Take antilogarithm of both sides to base 10.

[tex] {10}^{ log_{10}(x) } = {10}^{2} [/tex]

This implies that,

[tex]x = {10}^{2} [/tex]

Answer:

more than: how much cups? 80 cups

Step-by-step explanation:

a little story to remember better:

there is a island called gallon island. there are 4 queens(quarts) and each queen has two prince's or princesses(pint). and each princess/prince has two childeren(cup)

if you draw it out you see:

one gallon

4 quarts

8 pins

and 16 cups

one gallon has 16 cups which is wayy more than 5 cups so the answer is more than 5 cups

now how much cups do you exactly need?

16 cups x 5 gallons = 80 cups

plz give brainliesttt

Answer:

They are the same weight

Step-by-step explanation:

Haha! A classic riddle! They are both 100 pounds, so they weigh the same.

Hello there!

They are both the same. In the question, it states that you have 100 lbs of each item, so you have the same amount. There are probably waaaaay more flowers since they are very light, but nonetheless you still have 100 lbs so they will weigh the same :)

I hope this helps, have a great day!

Answer:

1,250 lbs

Step-by-step explanation:

There are 2,000 in 1 ton, so 5 * 2,000 = 10,000 lbs weight limit for the bridge.

10,000-8750 = 1,250 lbs can be added to the truck  before they reach the bridge weight limit.

Answer: 1250 pounds

There are 2000 pounds in one ton

Multiple 5 by 2000 and get 10000

Subtract that for 8570

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](rs)^{-1}(3s)^5(3r)^4\qquad\text{use}\ (ab)^n=a^nb^n\\\\r^{-1}s^{-1}(3^5)s^5(3^4)r^4=(3^5)(3^4)(r^{-1}r^4)(s^{-1}s^5)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=3^{5+4}r^{-1+4}s^{-1+5}=3^9r^3s^4=19,683r^3s^4[/tex]

Answer:

Domain: All Real Numbers Range: All Real Numbers

Step-by-step explanation:

The function x + y = 10 is a linear function. Its graph is a line on the coordinate plane. As such the line extends both left and right and up and down without any restrictions. This means there are no limits on its domain or range. Both are all real numbers.

Answer:

He needs 0.48 liters of plant food.

Yes, one bottle is enough for 12 weeks.

Step-by-step explanation:

William uses 40 mililiters each week.

Let be [tex]x[/tex]  the total amount of liquid plant food he needs for 12 weeks. It can be calculated by multiplying 12 by 0.40 mililiters. Then:

[tex]x=(12)(40mL)\\x=480mL[/tex]

Make the conversion from mililters to liters (Remember that 1 liter has  1,000 mililiters):

[tex](480mL)(\frac{1L}{1,000mL})=0.48L[/tex]

Then, he needs for 12 weeks:

 [tex]x=0.48L[/tex]

As he bought a 0.5 -liter bottle of liquid plant food and he needs 0.48 liters for 12 weeks, you can conclude that one bottle is enough for 12 weeks.

William needs 480 mL of plant food for 12 weeks. One 0.5-liter bottle (500 mL) is enough for this duration.

William bought a 0.5-liter bottle of liquid plant food. He uses 40 milliliters (mL) each week. To find out how much plant food William will use in 12 weeks, we multiply the weekly usage by the number of weeks:

Since 0.5 liters is equivalent to 500 milliliters, we determine that one bottle of 0.5 liters will be enough for 12 weeks because he needs 480 mL and the bottle contains 500 mL.

Answer:

Step-by-step explanation:

the anwser is D hope this helps =D

Answer:

Option C.

Step-by-step explanation:

If A and B are independent events then theorem says

P(A∩B) = P(A) × P(B)

Since value of P(A) = 0.5 and P(B)= 0.6 has been given in the question.

Then P(A∩B) = 0.5×0.6

                      = 0.3

Therefore, option C. is the answer.

Answer:

the correct answer is 77°

Step-by-step explanation:

Angle GHJ and IHJ form supplementary angles which add up to 180°

therefore angle IHJ=180-154

angle IHJ=26°

Triangle IHJ is an isosceles triangle whose base angles HIJand IJH are equal. Lets assign them the same value, x° each

since the sum of all interior angles of a triangle add up to 180°, then x°+x°+26°=180°

2x+26=180

2x=154°

x=77°

Therefore both HIJ and IJH measure 77°

Answer:

Infinite Solutions

Step-by-step explanation:

2x = 5 + y and 4y = -20 + 8x can be solved by substituting one equation into another to find the variables.

2x = 5 + y becomes y = 2x - 5. Substitute this expression into 4y = -20 + 8x.

4(2x - 5) = -20 + 8x

8x - 20 = -20 + 8x

8x - 8x - 20 = -20 + 8x - 8x

-20 = -20

This has infinite solutions since x eliminates and a true statement is left.

Answer:

infinite solutions.

Step-by-step explanation:

got it right on the assignment

Answer:

y = 98w + 115(16 - w)

Step-by-step explanation:

Let y = total amount paid

Let w = credit hours in Westside

Let 98w = Westside Fee

Let 115(16-w) = Pinewood

Then we get:

y = 98w + 115(16-w)

Now how did get 16 - w?

We got that by analyzing the problem. We have a total of 16 credit hours and w represents the number of hours at Westside. So we take the total of 16 hours and deduct it to the number of hours that Karen took in Westside.

Answer:

It is the second graph.

Step-by-step explanation:

One zero is x = -1 so the graph will be curved (as it has degree 3) and will  pass through the x axis at x = -1  and only at -1 because the other 2 zeroes are complex numbers.

Answer:

the answer is b

Step-by-step explanation:

There is no negative sign therefore d and a are not an option and yep ito b

Answer:

Option D. [tex]904.32\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the sphere (a baseball-shaped piñata ) is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=12/2=6\ in[/tex] -----> the radius is half the diameter

[tex]\pi=3.14[/tex]

substitute the values

[tex]V=\frac{4}{3}(3.14)(6)^{3}=904.32\ in^{3}[/tex]

Answer:

33.333333333333%

Step-by-step explanation:

Percent error = V observed - V true

=8-12/12

=-33.333333333333%

=33.333333333333% error

Answer:

Step-by-step explanation:

Surely the units of time: minut, hour, second.

Answer:

The unit of time - seconds

Step-by-step explanation:

The metric system uses units such as meter, liter, and gram to measure length, liquid volume, and mass.

Whereas in the US system of units, units like feet, quarts, and ounces to measure these.

But 'seconds' the base unit of time, is the unit that is used in both the system of units.

To find the original price, divide the sale price by 1 minus the discount rate:

4160 / (1- 0.35) =  4160 / 0.65 = 6400

The original price was $6,400

Answer: The wavelength of red light is 2 times longer than the wavelength of violet light.

Step-by-step explanation:

Let be "x" the number of times the wavelength of red ligth is longer than the wavelength of violet light.

Knowing that the wavelength (measured in meters) of red light is about [tex]8*10^{-7}[/tex] and the wavelength (measured in meters) of violet light is [tex]4*10^{-7}[/tex], you have to:

Divide the wavelength of red light (measured in meters) by the wavelength of violet light (measured in meters).

Then:

[tex]x=\frac{wavelength\ of\ red\ light}{wavelength\ of\ violet\ light}\\\\x=\frac{8*10^{-7}}{4*10^{-7}}[/tex]

Remember the Quotiend of powers property:

[tex]\frac{b^m}{b^n}=b^{(m-n)}[/tex]

Then:

[tex]x=2[/tex]

The wavelength of red light is 2 times longer than the wavelength of violet light.

Answer:                        

2 times as long

Step-by-step explanation:

i did this on i-ready and i got it wright ur welcome plis give me brainlyest

*spelled that wrong*

Answer:

Option c

Step-by-step explanation:

The general polar form of the conic with cosine in the denominator is:

[tex]r=\frac{ep}{1+ecos(\theta)}[/tex]

Comparing the given equation (Denominator) with the general equation, we can write:

e = 2

This means eccentricity = 2. Since eccentricity is greater than 1, the given conic is a hyperbola.

The equation of directrix is x = p

Comparing the numerators of general and given equation, we can write:

ep = 6

Using the value of e, we get p = 3

Therefore, equation of directrix is x =3

Hence option c is the correct answer.

Answer:

[tex]-7.3[/tex]

Step-by-step explanation:

We want to evaluate the line integral:

[tex]\int\limits^{(4,6)}_{(0,3)} {x\sin y} \, ds[/tex]

where [tex]ds=\sqrt{(\frac{dx}{dt})^2+(\frac{dy}{dt})^2 }dt[/tex]

The parametric equation of the straight line joining (0,3) and (4,6) is

[tex]x=4t[/tex] and [tex]y=3t+3[/tex]

This implies that;

[tex]ds=\sqrt{(4)^2+(3)^2 }dt[/tex]

[tex]ds=\sqrt{25}dt[/tex]

[tex]ds=5dt[/tex]

Our line integral then becomes;

[tex]\int\limits^{1}_{0} {4t\sin (3t+3)} \, 5dt[/tex]

Using, using integration by parts, we obtain;

[tex]20\int\limits^{1}_{0} {t\sin (3t+3)} \, dt=-7.3[/tex] to the nearest tenth.

The solution to the line integral for the equation [tex]\mathbf{\int ^{(4,6)}_{(0,3)} \ x \ sin y \ ds}[/tex] where c is the line segment from (0,3) to (4,6) is -7.3

A line integral is a type of integral in mathematics in which the variable function to be integrated is measured across a curve.

From the given information, we are to evaluate the line integral:

[tex]\mathbf{\int ^{(4,6)}_{(0,3)} \ x \ sin y \ ds}[/tex]

where;

[tex]\mathbf{ds = \sqrt{(\dfrac{dx}{dt})^2 + (\dfrac{dy}{dt})^2}}[/tex]

Using the parametric function to determine the straight line joining (0,3) and (4,6), we have:

Then, we can now have ds to be:

[tex]\mathbf{ds = \sqrt{(\dfrac{4}{1})^2 + (\dfrac{3}{1})^2} \ dt}[/tex]

[tex]\mathbf{ds = \sqrt{(16 + 9} \ dt}[/tex]

[tex]\mathbf{ds = \sqrt{25} \ dt}[/tex]

ds = 5dt

Now, the line integral can be written as:

[tex]\mathbf{=\int^1_0 4t sin (3t + 3) \ 5 dt}[/tex]

By applying integration by parts, we have:

[tex]\mathbf{= 20 \int^1_0 t sin (3t + 3) \ dt}[/tex]

= -7.3

Learn more about line integral here:

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Answer:

y = 10

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, hence

x + 10 = 110 - 4x ( add 4x to both sides )

5x + 10 = 110 ( subtract 10 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

Using the other pair of congruent sides, then

3y - 10 = 2x - 20 = (2 × 20) - 20 = 40 - 20 = 20, thus

3y - 10 = 20 ( add 10 to both sides )

3y = 30 ( divide both sides by 3 )

y = 10

the answer is "a" because If it was proportional out of 50 there would be 15 english majors.

Using stratified proportionate sampling out of 50 students, 15 English majors should have been chosen, fewer than the 20 selected in the simple random sample.

To answer the question, we need to determine how many English majors would have been chosen if the sample was created using stratified proportionate sampling. In stratified proportionate sampling, the number of students selected from each group is proportional to their representation in the overall population.

Since there are 150 English majors out of 500 students, English majors make up 30% of the student body. When creating a sample of 50 students, 30% of this sample size should be English majors, which would be:

30% of 50 students = 0.3 x 50 = 15 English majors.

Since the simple random sample selected 20 English majors, and a stratified proportionate sample would have included only 15, the answer is:

A.) There should be fewer English majors in the stratified proportionate sample.

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the correct answer would be 12 look in the sentence you've created that says times so 4 * 3 with equal to 12

Answer:

[tex]119.7\ miles[/tex]

Step-by-step explanation:

step 1

Find the total distance Jeremy rode in one day

[tex]2.2+11.1=13.3\ miles[/tex]

step 2

Find the total distance Jeremy rode in 9 days

Multiply the distance Jeremy rode in one  day by the total days

so

[tex]13.3(9)=119.7\ miles[/tex]

Answer:

$2.01

Step-by-step explanation:

Subtract 2.99 from 5.00

    5.00-2.99 = 2.01

The change Nancy should receive back is $2.01

According to the problem,

Amount of money left = $(5 - 2.99) = $ 2.01

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Answer: 400 men:800 members

Step-by-step explanation:

There is 400 mean so you would put 400 men first then you add 400+300+100=800 and that is all the members so it would be 400 men:800 member

Answer:400 to 800 or 1 to 2

Step-by-step explanation: There are 400 men in total so you know that is the number of men for the ration and then you count everyone for the people in this ratio. Remember... men count as part of everyone. After adding the men women and children you get 800 so it comes to 400:800 or simplified 1:2

Final answer:

To find the markup amount for the television, we can calculate 25% of the cost price. The markup amount is $112.50.

Explanation:

To find the markup amount, we need to determine the difference between the selling price and the cost price. The store sells items for 75% of the cost price, which means they have a markup of 25%.

To find the markup amount for the television, we can calculate 25% of the cost price.

Markup amount = 25% x $450 = $112.50