Hello happy Thursday, today I have an problem that I’m struggling in which is “Mrs.Johnson baked 2 dozen cookies. Two-thirds of the cookies were oatmeal. How many oatmeal cookies did Mrs. Johnson bake?”

The value assigned to variable y in the given expression "x = 0; y = (x > 0) ? 10 : -10;" is -10.

In the given expression "x = 0; y = (x > 0) ? 10 : -10;", the variables x and y are being assigned values based on a conditional statement.

First, the value of x is assigned as 0.

The conditional statement (x > 0) checks whether the value of x is greater than 0. In this case, since x is equal to 0, the condition evaluates to false.

The ternary operator ? : is used to specify different values for y based on the outcome of the conditional statement. If the condition is true, the value assigned to y would be 10. On the other hand, if the condition is false, the value assigned to y would be -10.

In this case, since the condition (x > 0) is false, the value assigned to y is -10, as indicated after the colon :.

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f(t) =  \(0.01 ( 2 )^{t}\) is  which investment will eventually have the greater value.

What investment means?

An asset or object purchased with the intention of generating income or appreciation is referred to as an investment. An asset's value increasing over time is referred to as appreciation.

                               When a person buys a product as an investment, they don't intend to utilize it right away; instead, they plan to use it to make money later on.

F(t) = \(a(b)^{t}\)

option a -                      a = 5

                                b = 1.5

                        f(t) = 5(1.5)

option b -                    a  = 0.01

                                  b = 2

               f(t) =  \(0.01 ( 2 )^{t}\)

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Answer:

X24

Step-by-step explanation:

Option a and option b is correct  for the probability question number 4 and 5 respectively.

To solve these problems, we can use the concept of probability. Let's break down each question:

The probability that the ball lands on red neither time:

Since the outcomes of the two spins are independent, the probability of landing on red in each spin is 18/38. Therefore, the probability of not landing on red in each spin is 1 - (18/38) = 20/38.

To find the probability of not landing on red in both spins, we multiply the probabilities together because the events are independent:

P(not red in spin 1) ×P(not red in spin 2) = (20/38) × (20/38) = 400/1444 ≈ 0.2770.

So, the answer is option b. 0.2770.

The probability that it lands once on red and once on black:

To find this probability, we need to consider the possible scenarios where one spin lands on red and the other spin lands on black. There are two possible orders: red-black or black-red. Let's calculate the probability for one of these scenarios and then double it to account for both orders.

The probability of landing on red in the first spin is 18/38, and the probability of landing on black in the second spin is 18/38. So the probability for the red-black order is (18/38) ×(18/38).

Similarly, the probability of landing on black in the first spin is 18/38, and the probability of landing on red in the second spin is 18/38. So the probability for the black-red order is (18/38) × (18/38).

Adding these two probabilities together, we get:

(18/38) × (18/38) + (18/38) × (18/38) = 2 × (18/38) ×(18/38) ≈ 0.2244.

Therefore, the answer is option a. 0.2244.

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Scenic Cinemas should offer discounted weekday matinee showings for seniors and continue to focus on weekend showings for their broader audience.

Based on the survey results, it would be wise for Scenic Cinemas to tailor their offerings to accommodate both preferences.

One option would be to offer discounted weekday matinee showings targeted toward seniors. This could incentivize them to visit on weekdays while also offering them a more affordable option. At the same time, Scenic Cinemas could continue to focus on weekend showings to cater to their broader audience.

Another approach would be to offer more diverse programming during the weekdays, such as classic films or independent movies that may appeal more to seniors. This could create a niche for Scenic Cinemas and attract a more loyal customer base.

Ultimately, it's important for Scenic Cinemas to balance the needs of their different audience segments to maximize revenue and customer satisfaction. By offering targeted promotions and programming, they can ensure that both seniors and other moviegoers feel valued and have a reason to visit the theatre.

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There is no definitive answer to the proportion of early-twenty-first-century men who finished school, left home, become financially independent, married, and had a child by age 30.

In terms of finishing school, in 2016, the U.S. Census Bureau estimated that 88.6% of males aged 25 and older were high school graduates, while 33.4% had attained a bachelor's degree or higher. As for financial independence, a 2019 report by the St. Louis Federal Reserve Bank found that the percentage of 25-year-olds who earned more than their parents did at the same age has declined since 1970.

In terms of marriage, a 2017 report by the Pew Research Center found that the median age for men getting married for the first time was 29, up from 23 in 1960. Finally, regarding fatherhood, a 2018 report by the National Center for Health Statistics found that the mean age of first-time fathers in the United States was 31.1. However, it is important to note that these statistics and studies do not provide a complete picture of the proportion of men who have accomplished all these factors by age 30.

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To find the horizontal asymptotes with square root in denominator, first, we have to divide the numerator and denominator by the highest power of x under the radical.

We need to simplify the expression by multiplying the numerator and denominator by the conjugate of the denominator. Finally, we take the limit as x approaches infinity and negative infinity to find the horizontal asymptotes. If the limit is a finite number, then it is the horizontal asymptote, but if the limit is infinity or negative infinity, then there is no horizontal asymptote.

Here is an example of how to find horizontal asymptotes with square root in denominator: Find the horizontal asymptotes of the function f(x) = (x + 2) / √(x² + 3)

Dividing the numerator and denominator by the highest power of x under the radical gives: f(x) = (x + 2) / x√(1 + 3/x²)

As x approaches infinity, the denominator approaches infinity faster than the numerator, so the fraction approaches zero. As x approaches negative infinity, the denominator becomes large negative, and the numerator becomes large negative, so the fraction approaches zero. Hence, the horizontal asymptote is y = 0.

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The probability of getting all heads in three-coin tosses is 1/8 or 0.1251. This means that there is a 12.5% chance that all of Zack’s tulips will be pink.

We know that the formula for finding a probability for any outcome is:

Probability = Number of favorable outcomes ÷ Total number of outcomes.

We know that, when a coin is tossed one time then, there are two sample space: {H,T}.

This means that we can get either a head or a tail when a coin is tossed once. Now, since the coin has been tossed 3 times, hence:

The total number of possible outcomes = 2³ =8

This is due to the fact that there are a total of 2ⁿ possible outcomes when a coin is tossed n times.

The eight outcomes would be as follows:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

We are asked to find the probability of getting three heads, or tulips be pink. Therefore,

Probability = 1/8.

Therefore, there are 12.5% chances that all of the Zack's tulips would be pink.

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Complete question is:

Read the story. Zack planted an assortment of tulip bulbs in his garden. half of them were pink tulips. this morning, he noticed that 3 of the tulips had started to sprout. how likely is it that all of them will be pink? Zack simulates the situation by flipping a coin 3 times. Each time the coin lands on heads, it represents a pink tulip.

This table shows the results of 100 trials:

number of heads flipped   0   1   2   3

number of trials                  12 37 38 11

Based on zack's results, what is the probability that all of the tulips will be pink?

Answer:

15

Step-by-step explanation:

The first 15 odd numbers are: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29

The formula to find the median of a set of numbers is:

Median = [(n + 1) / 2]th term

where n is the total number of terms in the set.

In this case, we have 15 terms in the set of the first 15 odd numbers. So, substituting n = 15 in the formula, we get:

Median = [(15 + 1) / 2]th term

Median = 8th term

To find the 8th term, we can simply list the first 15 odd numbers in ascending order and count 8 numbers from the beginning of the list. The 8th term is 15.

Therefore, using the formula, we get:

Median = 8th term = 15.

So, the median of the first 15 odd numbers is 15.

Answer:

A. 24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

16 isnt divisible by 3, 8*3 is 24 and 3*8 is 24. so that is your lcm

Answer:

7^18 days

Step-by-step explanation:

Seconds in a day = 86,400

(6.02x10^23) / 8.6x10^4 =

= 7^18

Answer:

$3,619.09

Step-by-step explanation:

liam deposits $2400 into an account that earns 8.3% interest compounded quarterly.

Compound interest formula is

where A is the final amount

P is the initial amount deposited

r is the rate of interest

n is the compounding period

t is the time in years

P= 2400, r= 8.3%= 0.083, t=5, n=4 (quarterly)

Plug in all the values

A= 3619.09

The number that is divisible by both 2 and 4 is option c. 2,836.

To determine which number is divisible by both 2 and 4, we need to identify the number that is divisible by the prime factorization of both 2 and 4.

To be divisible by 2, a number must be even, meaning it should end with 0, 2, 4, 6, or 8. Looking at the given options, we can eliminate options a. 1,022 and d. 2,918 because they end with 2 and 8 respectively.

To be divisible by 4, a number must be divisible by 2 twice. In other words, the last two digits of the number should form a multiple of 4. Examining the remaining options b. 1,974 and c. 2,836, we find that only option c. 2,836 satisfies this condition. The last two digits of 2,836, 36, form a multiple of 4 (9 times 4 is 36).

Therefore, the number 2,836 is divisible by both 2 and 4, hence the correct answer is: c.2,836

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Answer:

15 nickels and 11 quarters

The products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 in the presence of a platinum catalyst are related as enantiomers.

Hence, the correct option is E.

Enantiomers are stereoisomers that are non-superimposable mirror images of each other. In this case, the (E)- and (Z)-isomers have different spatial arrangements around the C=C double bond. When they react with D2 in the presence of a platinum catalyst, the deuterium atoms add to the double bond, resulting in two new chiral centers.

Since the two isomers have different spatial arrangements around the double bond, the addition of deuterium atoms will produce enantiomeric products. Therefore, the products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 are related as enantiomers.

Hence, the correct option is E.

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Answer:

1/2

Step-by-step explanation:

the scale factor, is found by dividing the length of the dilated point with that of the initial points, ie

\( \frac{2}{4} \)

\( \frac{1}{2} \)

Answer:

Step-by-step explanation:

Define Variables:

Let p= the price of each peach

Let m=the price of each mango

One peach costs $p, so 5 peaches cost 5p. One mango costs $m, so 6 mangos cost 6m. The total cost 5p+6m equals $17.75:

5p+6m=17.75

Likewise, if 2 peaches and 3 mangos cost $8, then:

2p+3m=8

Write System of Equations:

5p+6m=17.75

2p+3m=8

System of equations that could be used to determine the price of each peach and the price of each mango is 5p + 6m = 17.75 and 2p + 3m = 8.

Let p= the price of each peach

Let m=the price of each mango

One peach costs $p, so 5 peaches cost 5p. One mango costs $m, so 6 mangoes cost 6m. The total cost 5p+6m equals $17.75:

5p+6m=17.75

Likewise, if 2 peaches and 3 mangoes cost $8, then:

2p+3m=8

System of Equations:

5p+6m=17.75

2p+3m=8

Therefore System of equations that could be used to determine the price of each peach and the price of each mango is 5p + 6m = 17.75 and 2p + 3m = 8.

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Answer:

Hello,

p=4

q=7

Step-by-step explanation:

The vertex of the parabola is (-2,3)

Equation of the parabola is  k(x+2)²+3=x²+px+q

Let's identify the coefficients:

kx²+4kx+4k+3=x²+px+q

so

k=1

4*1=p

4*1+3=q

The values of the coefficients for the equation of the parabola are p = 4, and q = 7.

Given that,

vertex of the parabola is (-2,3)

The equation of the parabola is given as:

k(x + 2)² + 3 = x² + px + q

Substitute the value of k = 1 into the equation:

(x + 2)² + 3 = x² + px + q

Now, let's expand (x + 2)²:

(x + 2)² = x² + 4x + 4

Substitute this back into the equation:

x² + 4x + 4 + 3 = x² + px + q

Now, simplify the equation:

x² + 4x + 7 = x² + px + q

Now, let's identify the coefficients:

Coefficient of x²:

1 = 1

Coefficient of x:

4 = p

Constant term:

7 = q

Therefore, the values of the coefficients are p = 4, and q = 7.

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The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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(a) For all n, if n is an odd integer, then the square of n is odd. (b) For all n, if n is an odd integer, then the square of n is an odd integer. (c) There exists an integer n such that the square of n is not odd.

(a) For all n, if n is an odd integer, then the square of n is odd .The statement is rewritten in the universal form "For all n" indicating that the property holds true for every odd integer. (b) For all n, if n is an odd integer, then the square of n is an odd integer. The statement is rewritten in the universal form with an implication "if...then" structure, specifying that if n is an odd integer, then the square of n will also be an odd integer. (c) There exists an integer n such that the square of n is not odd. The negation of the statement states that there exists at least one integer n for which the square of n is not an odd integer, implying that there is a counterexample to the original statement.

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Answer:y =4x + 8

Step-by-step explanation:

X-0/0-1 = y-8/8-12

Or,-4x = -y +8

So, y-4x = 8

Answer:

Step-by-step explanation:

We need to first find the perimeter of this oddly-shaped rink. We have a rectangle for which we are enclosing 3 of its sides, and the fourth "side" is a half-circle. Let's find the perimeter (or circumference) of the circle, divide it in half because we have half a circle, then add in the remaining 3 sides from the rectangle, shall we?

C = πd. The diameter of the circle is the same as the shorter length in the rectangle, 26. Therefore,

C = (3.14)(26) so

C = 81.64 m for a whole circle, and for half of that circle, the circumference is

C = 40.82 m

Now we can find the perimeter of the rink:

40.82 + 61 + 26 + 61 = p so

p = 188.82 m

If the fencing costs $6.20 per meter and we have 188.82 m, then the total cost is

\(cost=\frac{6.20dollars}{meter}*188.82meters\). The label "meter" cancels out, leaving us with

cost = $1170.82

Check the picture below.

\(x\sqrt{3}=7\implies x=\cfrac{7}{\sqrt{3}}\implies x=\cfrac{7}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies x=\cfrac{7\sqrt{3}}{3}\)

Answer:

x = 4.04

Step-by-step explanation:

\(tan30^{0}=\frac{x}{7}\)

\(x=7tan30^{0}\)

\(x=4.04\)

Hope this helps.

Answer:

5,070

Step-by-step explanation:

Answer:

14.6

Step-by-step explanation:

I have to say I hate it is a celebrity worth knowing about a person

By using  Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is  ln(sqrt(x + x^3)).  The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is  ln(1 + x^2).

The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.

So, applying this theorem, we have:

g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]

= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)

= ln(sqrt(x + x^3))

Therefore, g'(x) = ln(sqrt(x + x^3)).

Using the Fundamental Theorem of Calculus, we have:

g'(x) = d/dx [∫1_x ln(1 + t^2) dt]

= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)

= ln(1 + x^2)

Therefore, g'(x) = ln(1 + x^2).

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____The given question is incomplete, the complete question is given below:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0.  8. g(x) = { In (1+t^2) dt} where limit are from x to 1.