Problem 2 Refer to the web page class handout, "Some Useful Sums" (a useful reference for later in our course) for help on the problem below Determine the closed form solution for the following sums. (Hint: Feel free to use variable substitution, when appropriate, to manipulate limits to fit sums defined on the web page handout):

The percentage of the total that she spent in fruit is 10%.

We know that Jane spent a total of $20 at the grocery shop, and we know that she spent $2 in fruit.

We want to find the percentage of the total that she spend on fruit, to get this, we need to take solve the equation:

Percentage = 100%*(amount that she pend on fruit)/(total amount)

Replacing the values that we know there we will get:

P = 100%*($2/$20)

P = 100%*1/10 = 10%

She spent 10% of the total amount in fruit.

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According to the statement the number of girls is significantly high. This was because of 50 birth, 49 are girls.

Objective judgments are those that are based on or employ facts that can be observed or verified, particularly by scientific methods, and are independent of one's own thoughts, feelings, or preconceptions.

From the information, births are randomly selected and of the 50 births, 49 are girls. This illustrates that the number of girls as significantly high. The have a percentage of (49/50) × 100= 98%.

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Assume that births are randomly selected and of the 50 births, 49 are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.

Based on the information provided, the number of girls in the births cannot be categorized as significantly high, significantly low, or neither significantly low nor significantly high, solely through subjective judgment.

The description of "significantly high" or "significantly low" typically requires statistical analysis and comparison to a reference point or expected value. Without knowing the total number of births or having a reference point for the expected proportion of girls in the births, it is not possible to determine whether the number of girls is significantly high or low.

The term "significantly" in statistics usually involves assessing whether an observed value deviates from an expected value by a statistically significant margin.

Subjective judgment alone cannot accurately assess whether the number of girls in the births is significantly high or low. To determine significance, a statistical analysis would involve calculations such as calculating the expected proportion of girls, performing hypothesis testing, and assessing the p-value to make an informed judgment.

Without these quantitative measures, it is not possible to make an accurate subjective determination of the significance of the number of girls in the births.

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The expected population size be after two generations which has a current size of 150 and λ of 1.2 is 216.

Nt = N₀ × λ^t

Nt = Population size at generation t

N₀ = Current population size

t = Number of generations

λ = Finite rate of increase

λ = 1.2

N₀ = 150

Nt = 150 × 1.2²

Nt = 150 × 1.44

Nt = 216

Population size is defined as the number of individuals present in a designated region. Finite rate of increase is the ratio of population size from increase from one year to the next.

Therefore, the expected population size be after two generations is 216

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Answer:

y=25

Step-by-step explanation:

150=8x+6y

150=8(0)+6y

150=6y

divided by 6 on both sides because what you do to one side you have to do to the other side.

then your left with y=25

Answer:

Simplifying

150 = 8x + 6y

Solving

150 = 8x + 6y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

150 + -8x = 8x + -8x + 6y

Combine like terms: 8x + -8x = 0

150 + -8x = 0 + 6y

150 + -8x = 6y

Add '-150' to each side of the equation.

150 + -150 + -8x = -150 + 6y

Combine like terms: 150 + -150 = 0

0 + -8x = -150 + 6y

-8x = -150 + 6y

Divide each side by '-8'.

x = 18.75 + -0.75y

Simplifying

x = 18.75 + -0.75y

Step-by-step explanation:

Answer:

14.098

Step-by-step explanation:

Answer:

14 mL

Step-by-step explanation:

because 1 ml = 25 mg we just need to divide 350 mg by 25 mg to know how many mL are equivalent to 350 mg.

350/25 = 14

therefore 14mL is equivalent to the 350 mg of the drug.

Hence,  the liquid will need to be given is \(14ml\) which is equivalent to the \(350\) mg of the drug.

What is an equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here,

\(1ml=25mg\), here we need to divide \(350mg\) by \(25 mg\)  to know how many \(ml\)are equivalent to \(350 mg.\)

i.e., \(\frac{350}{25}=14\)

Therefore, 14mL is equivalent to the \(350\) mg of the drug.

Hence,  the liquid will need to be given is \(14ml\) which is equivalent to the \(350\) mg of the drug.

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the probability is 1/6 or approximately 0.1667, which can also be expressed as 16.67%

To find the probability that Melinda can make an integer between 10 and 20 (inclusive) by forming a two-digit number from the rolls of two standard six-sided dice, we need to determine the number of favorable outcomes and the total number of possible outcomes.

Let's list the favorable outcomes, which are the two-digit numbers between 10 and 20:

11, 12, 13, 14, 15, 16

There are 6 favorable outcomes.

Next, let's determine the total number of possible outcomes when rolling two dice. Since each die has 6 sides, there are 6 * 6 = 36 possible outcomes.

Therefore, the probability that Melinda can make an integer between 10 and 20 is:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

          = 6 / 36

          = 1 / 6

So, the probability is 1/6 or approximately 0.1667, which can also be expressed as 16.67%.

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Main Answer :The proposition "every set is an element of its power set" is false.

Supporting Explanation :According to the power set definition, the power set of any set A is the set of all subsets of A, including the empty set and the set itself. Hence, an element of the power set of A must be a subset of A, not an element of A itself. So, it is not true that every set is an element of its power set. In fact, a set is only an element of its power set if and only if it is a subset of itself, which is not always the case. Therefore, the proposition is false.

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Answer:

It's B

Step-by-step explanation:

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it

Answer:

-21 =x

Step-by-step explanation:

9(3x+3)=10(3x+9)

Distribute

27x +27 = 30x +90

Subtract 27x from each side

27x+27 -27x = 30x-27x +90

27 = 3x+90

Subtract 90 from each side

27-90 = 3x +90-27

-63 = 3x

Divide by 3

-63/3 = 3x/3

-21 =x

Answer:

x = -21

Step-by-step explanation:

9(3x+3) = 10(3x+9)

27x + 27 = 30x + 90

-30x + 27x = 90 - 27

-3x = 63

x = -21

Answer:

dont u need a picture so we  can answer

Step-by-step explanation:

In the right angled triangle LMN the length LM ≅ 17.3

Since we have the right angled triangle Δ LMN in the figure, we observe that there are two other right angled triangles in it which are Δ LMO and ΔOMN

Applying Pythagoras' theorem to all three triangles, we have that

LM² = LO² + MO² (1)

LN² = LM² + MN² (2) and

MN² = MO² + ON² (3)

Given that

We have that

LM² = LO² + MO² (1)

LM² = 15² + MO² (4)

LN² = LM² + MN² (2) and

(LO + ON)² = LM² + (x + 3)² (2)

(15 + 5)² = LM² + (x + 3)² (2)

20² = LM² + (x + 3)² (5)

MN² = MO² + ON² (3)

(x + 3)² = MO² + 5² (6)

So, we have

LM² = 15² + MO² (4)

20² = LM² + (x + 3)² (5)

(x + 3)² = MO² + 5² (6)

From

Substituting equation (6) into (5), we have that

20² = LM² + (x + 3)² (5)

20² = LM² +  MO² + 5² (7)

Adding equations (4) and (7), we have that

LM² = 15² + MO² (4)

+

20² = LM² +  MO² + 5² (7)

LM² + 20² = 15² + LM² +  2MO² + 5²

20² = 15² +  2MO² + 5² (8)

400 = 225 +  2MO² + 25 (8)

400 = 250 +  2MO²

2MO² = 400 - 250

2MO² = 150

MO² = 150/2

MO² = 75

So, substituting MO² = 75 into equation (4), we have that

LM² = 15² + MO² (4)

LM² = 15² + 75

LM² = 225 + 75

LM² = 300

LM = √300

LM = 17.32

LM ≅ 17.3

So, the length LM ≅ 17.3

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Answer:

3/8

Step-by-step explanation:

2/8 + 1/8 = 3/8

Answer:

56 kilometers

Step-by-step explanation:

The answer is in the question it travels 56 km/h this means every one hour the car goes 56 km

Answer:

56km

Step-by-step explanation:

I got 56km because the car drives at a constant speed of 56 km/h. So, in one hour the car can travel 56km.

Therefore, the car can travel 56km in 1 hour.

Answer:

The total volume of the apartment is

✔ 2,160

An hourly rating of 2.5 BTUs per cubic foot is required, so

✔ multiply the total volume by 2.5

Arthur needs an air conditioner that will provide

✔ 5,400

BTUs to properly cool his apartment.

Step-by-step explanation:

you're welcome

Answer:

2,160

multiply the total volume by 2.5

5,400 BTUs

Step-by-step explanation:

cause said so

Answer:

10 days: ofc there is an easier way to do this but i did my own way down below :)

Step-by-step explanation:

in 1 day

cowboys: 300+25 is 325

saints: 700-15=685

in 2 days:

cowboys: 325+25 is 350

saints: 685-15 is 670

in 3 days:

cowboys: 350+25 is 375

saints: 670-15 is 655

in 4 days:

cowboys: 375+25 is 400

saints: 655-15 is 640

in 5 days:

cowboys: 400+25 is 425

saints: 640-15 is 625

in 6 days:

cowboys: 425+25 is 450

saints: 625-15 is 610

in 7 days:

cowboys: 450+25=475

saints: 610-15 is 595

in 8 days:

cowboys: 475+25 is 500

saints: 595-15 is 580

in 9 days:

cowboys: 500+25 is 525

saints: 580-15 is 565

in 10 days:

cowboys: 525+25 is 550

saints: 565-15 is 550

in 10 days, they will have the same number of followers

Answer:

A ≈ 22.2 ft²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \(\frac{50}{360}\)

   = π × 7.13² × \(\frac{5}{36}\)

    = 50.8369π × \(\frac{5}{36}\)

    ≈ 22.2 ft² ( to the nearest tenth )

Answer:

\(\$3.3\)

Step-by-step explanation:

Given:

Amount paid by a store for a set of spoons = $11

Percentage increase in price = 30%

To find: amount of the mark up

Solution:

To find amount of the mark up, find 30% of (amount paid by a store for a set of spoons)

Amount of the mark up = \(\frac{30}{100} (11)=\$3.3\)

Answer:

I think it’s three recipes

Step-by-step explanation:

Looking at the graph the line intersects the box after three up on the y axis before it gets to another week... if that makes sense

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

Explanation:

Add the minutes for now

55 minutes + 10 minutes = 65 minutes = 60 minutes + 5 minutes = 1 hour, 5 minutes

The minute portions add to 1 hour, 5 minutes. The hour portions add to 3+1 = 4.

Add on the "1 hour, 5 minute" portion and we get 5 hours, 5 minutes

This is the total duration of the round trip hike. Keep in mind that this does not include any time spent with Jennifer resting at the top of the mountain. This time duration assumes that once she gets to the top, she pretty much starts the hike back down the mountain.

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

Now convert 3:45 PM to military time. We add 12 hours to get 15:45

Subtract off 5 minutes to get 15:40

Then subtract off 5 hours to get 10:40, which converts back to 12-hour time notation to be 10:40 AM

Answer:

= 24/7

Step-by-step explanation:

1. Find common denominator

2. Combine fractions with common denominator

3. Re-order terms so constants are on the left

Answer:He is going to need 6 tables.

Step-by-step explanation:

Answer:

6 tables

Step-by-step explanation:

5×5 is 25 and there's 28 people so you need another table

Answer:

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

Given AP:

We observe that:

Let the three terms be aₙ, aₙ₊₁, aₙ₊₂.

Use nth term formula:

The following two terms are:

Their sum is 111, set an equation and solve for n:

The three terms are 9th, 10th and 11th terms and they are:

Differential operator d plays a central role in calculus, as it allows us to study the behavior of functions by analyzing their  

The question pertains to the r-vector space of infinitely-often differentiable r-valued functions c [infinity](r) on r. In this context, d is the differential operator which maps each function in the space to its derivative.

Specifically, given a function f in c [infinity](r), d(f) is defined as the derivative of f, denoted by f 0.

The differential operator d is a linear transformation, as it satisfies the properties of additivity and homogeneity. Additionally, it is continuous, meaning that small changes in the input function will result in small changes in the output function.

Moreover, the space of infinitely-often differentiable functions c [infinity](r) is an important one in mathematics, as it is used in various areas such as analysis, geometry, and physics.

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Step-by-step explanation:

the second one (with the -5 as x values) is not a function, because the valid x value -5 has more than one associated different solution value y.

for a function a valid x value can lead only to exactly one result y value.

In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Jan  293  18  311  1,507 16.25%

Feb  296  15  311  1,212 32.67%

Mar 298           12  311   913 49.25%

Apr  301            9  311   612 66.00%

May  304    6  311  308 82.92%

Jun  308    3  311    0        100.00%

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Answer:

x = -3

Step-by-step explanation:

Si alquilas el auto por un día y recorres 50 kilómetros, el precio del alquiler es de $400

Si rentas un auto por un día y recorres 50 kilómetros, el precio de renta será

$300 por día + $2 por kilómetro recorrido * 50 kilómetros

= $300 + $100 = $400.

La función que relaciona el precio de renta con los kilómetros recorridos se puede expresar como

P = 300 + 2K,

donde P es el precio de renta en dólares y K es la cantidad de kilómetros recorridos.

Si rentas un auto por un día y deseas que el precio de renta sea de $500, podemos utilizar la función determinada en el punto 2 para calcular la cantidad de kilómetros que puedes recorrer.

Reemplazando P = 500 en la función, tenemos

500 = 300 + 2K, entonces 200 = 2K, entonces K = 100.

Por lo tanto, puedes recorrer 100 kilómetros si deseas que el precio de renta sea de $500.

La función determinada en el punto 2 es lineal, ya que relaciona una variable dependiente (el precio de renta) con una variable independiente (los kilómetros recorridos) de manera lineal. Por lo tanto, la respuesta es is Lineal.

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bbbbbbbbbbbbbbb bbbbbbbbbbbbbb

Answer:

The area of a regular polygon is A = (1/2)ap, where a is the apothem and p is the perimeter of the polygon.

The apothem is 8 inches and the perimeter is 6(7) = 42 since there are 7 sides of 6 inches.

Then the area is

A = (1/2)(8)(42) = 336/2 = 168 in2

I hope this helped!