Let f(x) = .............

We have:

1 box has 6 cups

and 1 serving is 1/5 of 1 cup

Then:

Since there is 1/5 of a cup of oatmeal in a serving, this means that each of the 6cups contains 5 servings.

The total number of servings is seen to be

as there are 6 groups of 5 servings

Answer: 30

Answer: 27 masks

Step-by-step explanation:   2/3 = 1 mask

1 yard = 3/2

18 yards=3/2 * 18 = 27 masks

Answer:

Step-by-step explanation:

EQUATION: F = km / d²100 = k(8) / (5)²100 = k 8 / 25100 ÷ 8 / 25 = k 8 / 25 ÷ 8 / 25625 / 2 = kF = (625 / 2)(2) / (15)²F = 625 / 225F = 25 / 9

This is a consequence of Stokes' theorem in vector calculus, which relates the circulation of a vector field around a closed curve to the curl of the vector field over the surface bounded by the curve.

The theorem states that:

∮C F · ds = ∬S (∇ × F) · dS

where,

F is a vector fieldC is a closed curve that bounds a surface S, ds is an infinitesimal line element along C, ds is an infinitesimal area element over S, and ∇ × F is the curl of F.

If we have a two-dimensional vector field with zero curl on a region, then ∇ × F = 0 over the surface bounded by any closed curve in that region. Applying Stokes' theorem to this situation, we get:

∮C F · ds = ∬S (∇ × F) · dS = 0

since (∇ × F) · dS is zero over the surface S.

Therefore, the circulation of the vector field around any closed curve that bounds the region is zero.

In simpler terms, the curl of a vector field measures how much the field curls or circulates around a point. If the curl is zero, then the field is locally "flat" and does not circulate around any point.

This means that any closed curve in the region must have equal amounts of circulation in opposite directions, which cancels out to zero overall.

To know more about vector field refer here:

https://brainly.com/question/28565094#

#SPJ11

Step-by-step explanation:

In order to calculate the height (distance BC in the diagram) you need to know the distance from point D (the closer of the two measurement points to the kite) to the point directly under the kite, B. Once you know this distance then multiplying this by the tangent of angle b will give you the height.

Answer:

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Step-by-step explanation:

If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:

\(d=14-4\\d=10\ hours\)

London is 10 hours ahead of Honolulu.

If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:

\(t=12+10\\t=22 = 10:00\ p.m.\)

Since he arrived in London at 1:00 p.m. at Friday, the flight time was:

\(F= (24-22)+13\\F=15\ hours\)

The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:

\(T=30-(15*1)\\T=15^oC\)

Converting it to Fahrenheit

\(T=(15*\frac{9}{5})+32 \\T=59\ F\)

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Answer:

d

Step-by-step explanation:

Answer:

i believe it is 38.3 degrees but im, not 100% sure

Step-by-step explanation:

Answer:

148 meters

Step-by-step explanation:

first, find the measure of one side by finding the \(\sqrt{1369}\) .

you will get 37 as the measure of one side of the square.

37 x 4 = 148

therefore the perimeter of the garden is 148 meters

Answer:

We can fine x by using the pythagoras formula

a²+b² = c²

Which C is X

And

a= 17

b= 15

So

a² + b² = c²

(17)² + (15)² = c²

289 + 225 = c²

514 = c²

√514 = c

22.67 = c

So basically X is (22.671)

The missing side of the given right angled triangle is 8 units.

In the given right angled triangle, the hypotenuse side is 17 units, base is 15 units and the height is x units.

By using Pythagoras theorem, we get

17²=15²+x²

289=225+x²

x²=289-225

x²=64

x=√64

x=8 units.

Therefore, the missing side of the given right angled triangle is 8 units.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ6

Answer:

Below

Step-by-step explanation:

Circumference of a circle = pi * diameter

                             circumference of ferris wheel = 3.14159 * 520=1633.6 ft

Total 55 pairwise comparisons must be made to determine the winner in an election with 11 candidates using the pairwise comparison method.

If there are total 11 candidates contested in the election , then the number of pairwise comparisons required to determine the winner using the pairwise comparison method is:

(11-1) + (11-2) + (11-3) + ... + (11-10)

The above expression can be simplified to as 10 + 9 + 8 + ... + 1

It is an arithmetic series (AP) having a common difference of -1 and a first term of 10. To calculate the sum of an arithmetic series the following formula can be utilized to find the total number of possible comparisons :

n/2 [2a + (n-1)d]

Here, n is the total number of terms, a is the first term, and d is the common difference.

In the problem, n = 10, a = 10, and d = -1. putting these values into the formula,

10/2 [2(10) + (10-1)(-1)] = 10/2 [20 - 9] = 10/2 × 11 = 55

So, there are total 55 pairwise comparisons to be made in order to determine the winner in an election with 11 candidates.

Learn more about Arithematic Progression (AP) :

https://brainly.com/question/30442577

#SPJ4

\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)

Answer:

B : inscribed angle theorem

Step-by-step explanation:

The missing reason in step 5 is; Inscribed angle theorem.

Within the context of circle geometry, an inscribed angle is the angle formed in the interior of a circle as a result of the intersection of two chords on the circumference of the circle.

Put differently, an inscribed angle is defined by two chords of the circle sharing an endpoint.

Ultimately, since the chords LM and MN intersect on the circumference, with LM being the diameter of the circle, then the measure of angle LMN is 90°.

Read more on inscribed angle theorem;

https://brainly.com/question/5436956

To calculate the equal monthly payments for a 6-year, $50,000 loan at a nominal annual interest rate of 10% compounded monthly, we can use the formula for the monthly payment on a loan:

P = (r(PV))/(1 - (1 + r)^(-n))

where P is the monthly payment, r is the monthly interest rate (which is the nominal annual rate divided by 12), PV is the present value of the loan (which is $50,000), and n is the total number of monthly payments (which is 6 years times 12 months per year, or 72).

First, we need to calculate the monthly interest rate:

r = 0.10/12 = 0.0083333

Next, we can substitute these values into the formula to calculate the monthly payment:

P = (0.0083333(50000))/(1 - (1 + 0.0083333)^(-72)) = $843.86

Therefore, the equal monthly payments for this loan would be $843.86, starting at the end of the first month.

Learn more about loan here

https://brainly.com/question/25696681

#SPJ11

Answer:

C - 8%

Step-by-step explanation:

C is the total cost of her groceries and her coupon takes off 8% of her final bill.  Hope this helps!

The trendline has a positive slope and 3-day moving average is the trendline that is more sensitive to this change.

In this question,

Trendlines are used to give traders a good idea of the direction an investment's value might move. In a healthy trend, it's ideal to enter your trades on a pullback (towards the moving average).

Understanding the direction of an underlying trend is one of the most basic ways to increase the probability of making a successful trade because it ensures that the general market forces are working in your favor.

A moving average is a technical indicator that investors and traders use to determine the trend direction of securities. It is one of the commonly used technical tools best known as trend following or lagging indicator, because it is based on past prices.

The sales have been quite stable in the month, but the sales was exceptionally better in the past two days. If the analyst draws a line between these price points, they have an upward trend and 3-day moving average is the trendline that is more sensitive to this change.

The options for this question are a) 3 days moving average, b) 7 days moving average, c) They are both equally sensitive, d) None of them is sensitive to this change.

Hence we can conclude that the trendline has a positive slope and option (A) 3-days moving average is the trendline that is more sensitive to this change is the correct answer.

Learn more about trendlines and moving averages here

https://brainly.com/question/14254610

#SPJ4

Stratified sampling should be used if a population is believed to have a skewed distribution for one or more of its distinguishing factors.

If a population is believed to have a skewed distribution for one or more of its distinguishing factors, then stratified sampling should be used. This involves dividing the population into subgroups based on the distinguishing factors and then randomly selecting samples from each subgroup in proportion to its size. This ensures that the sample represents the population accurately, even if it has a skewed distribution. Sample random, synthetic, and cluster sampling methods may not be effective in this case as they do not account for the skewed distribution of the population.

Stratified sampling is the most appropriate method to use if a population is believed to have a skewed distribution for one or more of its distinguishing factors. It ensures that the sample accurately represents the population and is not biased by the skewed distribution.

To know more about Skewed distribution visit:

https://brainly.com/question/30011644

#SPJ11

Answer:

(x-3)(x-1) =0

x-3=0 or x-1=0

x=3 or x=1

Answer:

Biotic factors of a marine ecosystem typically include algae, plankton, bacteria, seaweed, corals, fish, sharks, seals, whales, penguins and jellyfish.

Step-by-step explanation:

i hope this answer helped

Thanks for choosing brainly

Answer:

Mean=

36/5=7.2

Median=8

Step-by-step explanation:

mean=add all the numbers/divide by how many

13+12+8+2+1=36

5 numbers altogether hence,

36/5=7.2

median=arrange all numbers and middle term is the median(for odd numbers only)

13,12,8,2,1

Hence,8 is the middle term

Hope this helped xx

Answer:

The INTEGER function returns an integer representation of a number or character string in the form of an integer constant.

Step-by-step explanation:

Answer:

56.2

Step-by-step explanation:

If that is 674/12 then that's your answer

Answer:

64.5833333333333333333 = 775/12

Step-by-step explanation:

7/12 = 5.83333333333333333.

154 yd ²

the formula is (b • h) / 2 = A

so plug it in (14 • 22) / 2 = 154

Answer:

B

Step-by-step explanation:

(hx)(gx)

(2x+5)(3x+2)

6\(x^{2}\)+4x+15x+10

6\(x^{2}\)+19x+10

Answer B

Part (a)

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

Explanation:

You use the compound interest formula

A = P(1 + r/n)^(n*t)

where

After plugging those values in, you would go from A = P(1 + r/n)^(n*t) to

A = P(1 + r/n)^(n*t)

A = 5000(1 + 0.016/1)^(1*x)

A = 5000(1.016)^x

Since you're using x for the input, it's possible your teacher wants you to use y for the output. So replace A with y to get y = 5000(1.016)^x

==============================================

Part (b)

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

Explanation:

Plug x = 15 into the equation we found back in part (a). Use your calculator to simplify. Round to the nearest hundredth which is rounding to the nearest penny.

y = 5000(1.016)^x

y = 5000(1.016)^15

y = 6344.1818561953

y = 6344.18

Answer:

girlie u gotta chill

Step-by-step explanation:

The amount of milk Jonah bring is 8 quarts of milk

From the question, we have the following parameters that can be used in our computation:

Jonah brought 16 pints of milk to share with his soccer teammates at halftime.

This means that

Milk = 16 pints of milk

By the metric units of conversion, we have

1 pint of milk = 0.5 quart of milk

Substitute the known values in the above equation, so, we have the following representation

Milk = 16 quarts of milk * 0.5

Evaluate

Milk = 8 quarts of milk

Hence, the amount of milk is 8 quarts of milk

Read more abot metric units at

https://brainly.com/question/28234927

#SPJ1

Answer: Last graph, the one with the points (1, 2), (2, 3), (3, 4), and (4, 5)

Step-by-step explanation:

We have the equation y = x + 1

Now we can replace x by different values to get pairs (x, y).

if x = 1, we have:

y = 1 + 1 = 2

then we have the pair (1, 2)

if we have x = 2, then:

y = 2 + 1 = 3

Then we have the pair (2, 3)

So we need to find the graph that has these points.

The only graph that has the points (1, 2) and (2, 3) is the last graph.