Deon reads an average of 92 pages each week. Write an equation to represent the number of pages read after any number of weeks.

If they give up 20 yards on the opening play, they're out. The ball is on the 30-yard line.

The starting line is the 50-yard line.

The new yard line following the first play Equals (The yard line following the first play) - (The number of yards lost)

As the football team lost 20 yards after the first play.

After the second play, the new yard line is 50 - 20 = 30 yards.

After the second play, the new yard line is 30.

The ball was on the 30-yard line at the end of the second play.

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independent event-the occurrence of one event does not affect the probability of the occurrence of another event

compound event-two or more events considered

dependent event-the occurrence of one event affects the probability of the occurrence of another event

a) Compound Event refers to the combination of two or more events considered.

b) Independent Event occurs when one event does not affect the probability of the occurrence of another event.

c) Dependent Event describes a situation where the occurrence of one event affects the probability of the occurrence of another event

a) Compound Event: This refers to the combination of two or more events considered together. It involves analyzing the probability of multiple events occurring in a specific situation or experiment. For example, when rolling a pair of dice, the compound event might be the probability of getting a sum greater than 9.

b) Independent Event: This occurs when the outcome or occurrence of one event has no impact on the probability of the outcome or occurrence of another event. In other words, the events are unrelated and do not influence each other. For example, flipping a coin and rolling a die are independent events since the outcome of the coin flip does not affect the outcome of the die roll.

c) Dependent Event: This describes a situation where the occurrence of one event does affect the probability of the occurrence of another event. In dependent events, the outcome or happening of the first event has an impact on the likelihood of the second event. For instance, drawing cards from a deck without replacement is a dependent event since the probability of drawing a certain card changes after each card is drawn.

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To find:

An irrational number that is greater than 10.

Solution:

Irritation number: It cannot be expression in the form of \(\dfrac{p}{q}\), where, \(q\neq 0, p,q\) are integers.

For example: \(\sqrt{2}\sqrt{3},\pi, 1.263689...,etc.\).

We know that square of 10 is 100. So, square root of any prime number is  an example of an irrational number that is greater than 10.

First prime number after 100 is 101.

Required irrational number \(=\sqrt{101}\)

Therefore, \(\sqrt{101}\) is an irrational number that is greater than 10.

Answer:

3k

Step-by-step explanation:

8-5=3k

Answer:

3k

Step-by-step explanation:

i think this is the answer

Answer:

I dont know what does the long question requires.If is the question of 17 problem then i have explained and solved .If not then I dont know what to do.

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Answer:

8 weeks

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Okay, so. First of all, we multiply .15 and 100. This gives us 15. Now, we have the amount of money spent.

We now subtract the amount of money spent, by the number on the card.

20-15= 5

Now we have our answer. 5

Answer:

330.64 +2· 15.34 + 34.47 + 36.30·x ≤ 660

Step-by-step explanation:

Money he has:

$660 "Omar has $660 to spend "

Money he spends:

$330.64 "A new bicycle for $330.64." $330.64 +

+2· $15.34 "He buys 2 bicycle reflectors for $15.34 each"

+$34.47 "a pair of bike gloves for $34.47."

+x·$36.30 "new biking outfits for $36.30 each", where x-is the number of outfits he can buy

$330.64 +2· $15.34+$34.47 + $36.30·x

The inequality that can be used to determine x, the maximum number of outfits Omar can purchase while staying within his budget is:

$330.64 +2· $15.34+$34.47 + $36.30·x ≤ 660

The maximum number of outfits he can buy is:

330.64 +2· 15.34 + 34.47 + 36.30·x ≤ 660, we first do multiplication 2·15.34

330.64 + 30.68 + 34.47 + 36.30·x ≤ 660, add like terms

395.79 +36.30x ≤ 660, subtract 395.79 from both sides

36.30x ≤ 660 - 395.79, combine like terms 660 - 395.79

36.30x ≤ 264.21, divide both sides by 36.30

x ≤ 264.21/36.30, divide and round to the nearest hundredths

x ≤ 7.28

To stay on budget Omar can buy 7 outfits.

In a case whereby a ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the time the ball is thrown will it strike the​ ground at t = 2.5 or -3.5.

Height of building = 140 ft

Initial velocity, u = 16 ft/sec

the equation given is

h = -16t² -16t +140

h(t) = -16t² -16t +140

AT h(t) = 0 , We can divide by -2 and have

(8t² + 8t - 70) = 0

8t² + 8t - 70 = 0

Then if we solve with quadratic equation formula where  a=8, b=8, c=- 70 then the root will be -7/2 and 5/2 then  t = 2.5 or -3.5

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complete question;

A ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the height of the ball h in feet after t seconds is given by the equation h equals negative 16 t squared minus 16 t plus 140. how long after the ball is thrown will it strike the​ ground?

The nutritionist should perform hypothesis testing followed by Independent T-test to see if coffee and tea differ in mean caffeine content .

We need to Know about Hypothesis testing and independent t test to answer this-

Hypothesis testing is a type of statistical test that is used to comapare data and drawing conclusion from them.

An independent t-test is a statistical test that determines whether the means of two unrelated groups are significantly different from each other.

We can find the difference caffeine content following these steps -

1)H0=Null hypothesis=tea and coffee has same caffeine level

HA=tea and coffee has different caffeine level

2)The independent samples t-test is utilized to determine whether two different sample means come from the same population or whether they come from two distinct populations with different mean values. Two populations can be considered independent when the data in one group is not connected to the data in the other group.

The t value obtained should be then performed under hypothesis testing.

3)And the calculated T value should be comaperd with the desired significance level (generally =0.05) and if the t value comes in between the critical values the nutritionist can assume that both tea and coffee has same caffeine level in this null hypothesis will be accepted.

Whereas if the calculated t value doesn't falls in between the critical value then the nutritionist can assume that tea and coffee has different caffeine level.

Hence null hypothesis will be rejected.

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Answer:

2 decimal places

Step-by-step explanation:

just simple count the number of decimal points on both sides

Answer:

-28 is the number

Step-by-step explanation:

-28 + 13 = -15

Answer:

$528.8

Step-by-step explanation:

Given data

Dimension

13 feet by 13 feet

1 ft =4.3 yard

Area= 4.3^2

Area= 18.49 yard

cost of carpet

1 yard= $28.60

18.49 yard= x

cross multiply

x= 18.49*28.60

x=$528.8

Hence the cost to cover the room is $528.8

Answer: 15 months

Step-by-step explanation:

Answer:

First you want to ensure you are working with the same units

In this case I will change the 12.6m to cm

12.6m --> 1260cm

1260 / 0.4 = 3150 hours

The expression is x = (PA - PB) / (2 * (24 + 12)).Alfonso's marginal cost is $9 and Bernice's marginal cost is $12.Alfonso's best-response function can be determined by maximizing profit function with respect to PA.

The expression for the location of the indifferent consumer can be derived using the Hotelling model, where the consumer is equidistant between the two parks. Let x represent the distance from Alfonso's Wonderland. The expression is x = (PA - PB) / (2 * (24 + 12)).

The profit function for Bernice's Wild Rides can be found by subtracting the marginal cost of $12 from the revenue function, which is equal to the price PB multiplied by the number of customers.

Bernice's best-response function can be determined by maximizing their profit function with respect to PB.

The profit function for Alfonso's Wonderland, with a marginal cost of $6, can be found similarly by subtracting the marginal cost from the revenue function, which is equal to the price PA multiplied by the number of customers.

Alfonso's best-response function can be determined by maximizing their profit function with respect to PA.

The equilibrium prices and profits can be found by solving the simultaneous equations formed by the best-response functions of both parks.

Repeat steps 4 and 5 for the case where Alfonso's marginal cost is $9.

Repeat step 6 for the case where Alfonso's marginal cost is $9 and Bernice's marginal cost is $12.

By following these steps, we can determine the maximum price Alfonso's Wonderland should pay, the likely price they will have to pay, and the consequences of Bernice's Wild Rides acquiring the exclusive rights.

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Answer:

$585

Step-by-step explanation:

simply find 13% of 4500. 0.13 x 4500 is $585

There are \(72^{16\) valid passwords that can be created with the given constraints.

To calculate the total number of valid passwords, we need to consider the number of options for each character in the password.

1. Digits (0-9): There are 10 digits.

2. Uppercase letters (A-Z): There are 26 uppercase letters.

3. Lowercase letters (a-z): There are 26 lowercase letters.

4. Special characters: There are 10 special characters.

In total, there are 10 + 26 + 26 + 10 = 72 possible characters for each position in the password.

Since the password must consist of 16 characters, we have 72 choices for each character. We can calculate the total

number of valid passwords using the formula

Total passwords = (number of choices per character)^(number of characters)

Total passwords = \(72^{16\)

So, there are\(72^{16\) valid passwords that can be created with the given constraints.

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Answer:

A

Step-by-step explanation:

Because when you multiply anything with exponents, you multiply the coefficient and add the exponents.

The domain of the function is R - {m} and the range of the function is (-∞, ∞).

We are given a function f: R−{n}→R defined by f(x) = (x-n)/(x-m), where m ≠ n.

To find the domain of the function, we need to consider the values of x for which the denominator (x-m) is zero. Since m ≠ n, we have m - n ≠ 0, and therefore the function is defined for all x except x = m.

Therefore, the domain of the function is R - {m}.

To find the range of the function, we can consider the behavior of the function as x approaches infinity and negative infinity. As x approaches infinity, the numerator (x-n) grows without bound, while the denominator (x-m) also grows without bound, but at a slower rate. Therefore, the function approaches positive infinity.

Similarly, as x approaches negative infinity, the numerator (x-n) becomes very negative, while the denominator (x-m) also becomes very negative, but at a slower rate. Therefore, the function approaches negative infinity.

Thus, we can conclude that the range of the function is (-∞, ∞).

In summary, the domain of the function is R - {m} and the range of the function is (-∞, ∞).

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Answer: Rs. 360

Step-by-step explanation:

let x of 12 1/2%=45

=> x.25/200=45

=> x/8=45

=> x=45.8

=> x=360

it is Rs 360

Answer:

\(x^4+2x^3+2x^2+2x+1\)

Step-by-step explanation:

Given that,

\((x+1)^2 . (x^2+1) = 0\)

We know that, \((a+b)^2=a^2+b^2+2ab\)

So,

\((x+1)^2=x^2+1+2x\)

So,

\((x+1)^2 . (x^2+1) = (x^2+1+2x)(x^2+1)\\\\=x^2\times x^2+x^2+2x^3+x^2+1+2x\\\\=x^4+2x^3+2x^2+2x+1\)

So, the value of the given expression is equal to\(x^4+2x^3+2x^2+2x+1\)

Answer:

Financial manager sounds more professional.

Step-by-step explanation:

The argument is valid. If a number is not prime, it does not imply that the number is odd.

The given argument is invalid. The argument's structure follows the form of denying the consequent (modus tollens). However, the argument itself contains a logical flaw. While it is true that all prime numbers greater than 2 are odd, it does not follow that a number being not prime implies it is not odd.

The argument assumes that the negation of being prime automatically leads to not being odd, which is not necessarily true. There exist non-prime numbers that are odd, such as 9, 15, and 21. Therefore, the fact that a number is not prime does not guarantee that it is not odd.

To establish the conclusion that a number is not odd based on it not being prime, additional information or reasoning is needed. Hence, the argument is invalid.

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Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's solve each problem one by one:

1. Adam has $2 and is saving $2 each day. Brodie has $8 and is spending $1 each day. After how many days will each person have the same amount of money?

Let's assume the number of days is represented by 'x'.

Adam's money after 'x' days = $2 + $2x

Brodie's money after 'x' days = $8 - $1x

To find the number of days when they have the same amount of money, we set up an equation:

$2 + $2x = $8 - $1x

Simplifying the equation:

$2x + $1x = $8 - $2

$3x = $6

x = $6 / $3

x = 2

Therefore, after 2 days, Adam and Brodie will have the same amount of money.

Answer: A. 5x + 4 = 3x - 2 (incorrect)

2. A number increased by 8 is equal to twice the same number increased by 7.

Let's represent the number by 'x'.

Equation: x + 8 = 2x + 7

Solving the equation:

x - 2x = 7 - 8

-x = -1

x = 1

Therefore, the number is 1.

Answer: D. x + 8 = 2x + 7 (correct)

3. Spot weighs 6 pounds and gains one pound each week. Buddy weighs 2 pounds and gains 2 pounds each week. After how many weeks will the puppies weigh the same?

Let's represent the number of weeks by 'x'.

Spot's weight after 'x' weeks = 6 + 1x

Buddy's weight after 'x' weeks = 2 + 2x

To find the number of weeks when they weigh the same, we set up an equation:

6 + 1x = 2 + 2x

Simplifying the equation:

x - 2x = 2 - 6

-x = -4

x = 4

Therefore, after 4 weeks, Spot and Buddy will weigh the same.

Answer: A. x + 6 = 2x + 2 (incorrect)

4. Five less than two times a number is equal to 4 less than the same number.

Let's represent the number by 'x'.

Equation: 2x - 5 = x - 4

Solving the equation:

2x - x = -4 + 5

x = 1

Therefore, the number is 1.

Answer: B. 2x - 5 = x - 4 (correct)

5. Ann has an empty cup and adds 1 ounce of water per second. Bob has 12 ounces of water and drinks 2 ounces per second. After how many seconds will they have the same amount of water?

Let's represent the number of seconds by 'x'.

Ann's water after 'x' seconds = 1x ounces

Bob's water after 'x' seconds = 12 - 2x ounces

To find the number of seconds when they have the same amount of water, we set up an equation:

1x = 12 - 2x

Simplifying the equation:

1x + 2x = 12

3x = 12

x = 12 / 3

x = 4

Therefore, after 4 seconds, Ann and Bob will have the same amount of water.

Answer: A. -2x + 12 = -x + 6 (incorrect)

6. Tom has

12 candies and eats 2 each minute. Sue has 6 candies and eats 1 every minute. After how many minutes will they have the same number of candies?

Let's represent the number of minutes by 'x'.

Tom's candies after 'x' minutes = 12 - 2x

Sue's candies after 'x' minutes = 6 - 1x

To find the number of minutes when they have the same number of candies, we set up an equation:

12 - 2x = 6 - 1x

Simplifying the equation:

-2x + 1x = 6 - 12

-x = -6

x = 6

Therefore, after 6 minutes, Tom and Sue will have the same number of candies.

Answer: A. -2x + 12 = -x + 6 (correct)

Answer:

0.75 or 3/4

Step-by-step explanation:

You want to get the number 3, by taking a fraction of 4.

Divide 3 by 4 to get the fraction

The solution for given differential equation is y = c1e^(-x^3/3) + c2xe^(-x^3/3)

This is a second-order linear differential equation with constant coefficients. To solve this equation, we can use the method of an auxiliary equation, which is 3r^2 + 6r + 1 = 0. This equation has two complex conjugate roots, r = -3 ± i√3. Therefore, the solution of the differential equation is y = c1e^(-x^3/3) + c2xe^(-x^3/3)cos(√3x^2/2) + c3xe^(-x^3/3)sin(√3x^2/2), where c1, c2, and c3 are arbitrary constants.

The method of an auxiliary equation is a popular way to solve second-order linear differential equations with constant coefficients. It involves finding the roots of an auxiliary equation, which is found by setting the coefficient of the second derivative equal to zero.

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