the height of the tide in a small beach town is measured along a seawall. water levels oscillate between 5 feet at low tide and 15 feet at high tide. on a particular day, low tide occurred at 6 am and high tide occurred at noon. approximately every 12 hours, the cycle repeats. find an equation to model the water levels

Answer:

Second one.

Step-by-step explanation:

A right triangle is a triangle with one right angle. A right angle can be shown with a box, we see that in 1, 3, and 4, there is a box, so that means 2 is not a right angle. We can also do out the math for number 2, so 67+67 = 134, and 180 - 134 is not 90.

Let me know if you have any questions.

The number 1111111111111111111 is not prime. In general, a number with all 1's in base b can be prime only if the number of 1's is prime.

To prove this, let's consider a number N in base b with n 1's, and let's assume n is not prime. Since n is not prime, it can be factored as n = a * b, where a and b are integers greater than 1.

Now, let's rewrite N as a sum of geometric series:

N = 1 + b + b^2 + ... + b^(n-1)

Now, let's factor the series:

N = (1 - b^a) * (1 + b^a + b^(2a) + ... + b^(n-a))

Since both factors are greater than 1, N is not prime. Therefore, a number with all 1's in base b can be prime only if the number of 1's is prime.

As for the term "strabismus," it is unrelated to this mathematical proof. Strabismus is a medical condition related to the misalignment of eyes.

When answering questions on Brainly, you should always aim to be factually accurate, professional, and friendly. It is important to be concise and avoid providing extraneous amounts of detail. While it is okay to overlook typos or irrelevant parts of the question, you should always focus on providing a helpful and accurate answer to the student's question. Additionally, it is important to avoid making any assumptions about the student's question or intentions. Finally, the question about whether this is a test for strabismus is unrelated to the math problem and should be disregarded. As for the math question itself:If a number in radix b is represented by (11...1), where the number of I's is prime, it can be prime. We can see why this is the case by applying Fermat's little theorem, which states that if p is a prime number and a is any positive integer not divisible by p, then a^(p-1) ≡ 1 (mod p).For example, consider the number (111) in base 2 (i.e., binary). This number is equal to 1 x 2^2 + 1 x 2^1 + 1 x 2^0 = 7 in base 10. Since 3 is a prime number, we can test whether 111 is prime by computing 2^(3-1) ≡ 1 (mod 3) and 111 ≡ 0 (mod 3), which implies that 111 is divisible by 3. Therefore, 111 is not a prime number.

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The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer: -15x - 9

Step-by-step explanation:

(2x ×2 −6x−5)+(−9x ×2 +5x−4)

(4x-6x-5)+(-18x+5x-4)

(-2x-5)+(-13x-4)

-2x-5-13x-4

-15x -

The value of the given equation is −7x2−x−9.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The equation (2x 2 −6x−5)+(−9x 2 +5x−4)

Now,

We need to add the two polynomials by combining like terms. Like terms are terms that have the same variable and exponent. For example, 2x2 and −9x2 are like terms because they both have x2

To add like terms, we just add their coefficients. For example, 2x2+(−9x2)=(−7x2)

We can apply this rule to each pair of like terms in the problem and get:

(2x2−6x−5)+(−9x2+5x−4)

=(2x2+(−9x2))+(−6x+5x)+(−5+(−4))

=(−7x2)+(−x)+(−9)

=−7x2−x−9

Therefore, by algebra the answer will be −7x2−x−9.

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Answer:

Step-by-step explanation:

Answer:

1 whole

Step-by-step explanation:

Answer:

The whole 1

Step-by-step explanation:

0/8 = 0 and it is 7/8 away from 7/8

4/8 = 1/2 and it is 3/8 away from 7/8

8/8 = 1 and it is 1/8 away from 7/8

There is no value of x that makes the equation 0.5(4x - 8) = 2x + 5 true. The solution is "no solution."

To solve for the value of x in the equation 0.5(4x - 8) = 2x + 5, follow these steps:

Step 1: Distribute the 0.5 on the left side of the equation:

0.5 * 4x - 0.5 * 8 = 2x + 5

Simplify:

2x - 4 = 2x + 5

Step 2: To isolate the variable term "x" on one side of the equation, move the constant terms to the other side. In this case, subtract 2x from both sides:

2x - 2x - 4 = 2x - 2x + 5

Simplify:

-4 = 5

Step 3: The equation simplifies to -4 = 5, which is not true. This means that the equation has no solution, and there is no value of x that satisfies the equation.

Therefore, there is no value of x that makes the equation 0.5(4x - 8) = 2x + 5 true. The solution is "no solution."

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Complete question is:

Solve for the value of x: 0.5(4x - 8) = 2x + 5

Answer:

vertex is (5/2, -57/4)

Step-by-step explanation:

Using the simplification, the solution of the given expression for x is 107.5.

In the given question we have to solve the given expression.

The given expression is x-12.5=95.

Now solving the expression.

x-12.5=95

To solve the expression we add 12.5 on both side

x-12.5+12.5=95+12.5

x=107.5

The solution of the given expression for x is 107.5.

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a. Ashley would need to invest approximately $49,302.55 in one lump sum today. b. Ashley would need to put away approximately $9,167.42 annually to accumulate the required capital in 6 years. c. Ashley already has $20,000 saved, she would need to put away approximately $6,111.57 annually to accumulate the required capital in 6 years.

a. To determine how much Ashley would need to invest today, in one lump sum, to end up with $70,000 in 6 years, we can use the future value formula:

Future Value (FV) = Present Value (PV) * (1 + interest rate)^time

In this case, FV = $70,000, interest rate = 7% (0.07), and time = 6 years. Plugging in these values into the formula, we can solve for PV:

$70,000 = PV * \((1 + 0.07)^6\)

PV = $70,000 /\((1.07)^6\)

PV ≈ $49,302.55

Therefore, Ashley would need to invest approximately $49,302.55 in one lump sum today.

b. If Ashley is starting from scratch, we need to calculate how much she would have to put away annually to accumulate the needed capital in 6 years. This can be calculated using the present value of an ordinary annuity formula:

PV = Annual Payment * [(1 - (1 + interest rate)^(-time)) / interest rate]

In this case, PV = $70,000, interest rate = 7% (0.07), and time = 6 years. Plugging in these values, we can solve for the annual payment:

$70,000 = Annual Payment *\([(1 - (1 + 0.07)^(-6)) / 0.07]\)

Annual Payment ≈ $9,167.42

Therefore, Ashley would need to put away approximately $9,167.42 annually to accumulate the required capital in 6 years.

c. If Ashley already has $20,000 saved, we can subtract this amount from the required capital and calculate the annual payment for the remaining amount:

Remaining Amount = Required Capital - Initial Savings

Remaining Amount = $70,000 - $20,000 = $50,000

Using the same formula as in part b, we can calculate the annual payment:

$50,000 = Annual Payment\(* [(1 - (1 + 0.07)^(-6)) / 0.07]\)

Annual Payment ≈ $6,111.57

Therefore, if Ashley already has $20,000 saved, she would need to put away approximately $6,111.57 annually to accumulate the required capital in 6 years.

d. Ashley can use an investment plan to help reach her objective by following these steps:

- Set a specific financial goal, such as accumulating $70,000 in 6 years.

- Determine the required investment amount, whether it's a lump sum or an annual payment.

- Consider her risk tolerance and investment options. Since she estimates a 7% return, she can explore various investment vehicles like stocks, bonds, mutual funds, or other investment instruments.

- Develop an investment plan that aligns with her financial goals and risk tolerance. This plan may involve diversifying her investments, considering different time horizons, and regularly monitoring her progress.

- Continuously track the performance of her investments and make adjustments if needed.

- Stay disciplined and committed to her investment plan, making regular contributions or adjusting investments as necessary to reach her desired capital.

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The sample standard deviation of the given data set is approximately 3.59 (rounded to the nearest hundredth).

To find the sample standard deviation for the given data, follow these steps:

Calculate the mean (average) of the data set. Sum up all the values and divide by the total number of values.

Mean = (1 + 1 + 2 + 2 + 4 + 4 + 3 + 3 + 5 + 5 + 9 + 9 + 6 + 6 + 6 + 6 + 7 + 7 + 5 + 5 + 10 + 10 + 4 + 4 + 13 + 13 + 3 + 3 + 15 + 15 + 4 + 4) / 32 = 6.25

Calculate the deviation of each data point from the mean by subtracting the mean from each value.

Deviations: (-5.25, -5.25, -4.25, -4.25, -2.25, -2.25, -3.25, -3.25, -1.25, -1.25, 2.75, 2.75, -0.25, -0.25, -0.25, -0.25, 0.75, 0.75, -1.25, -1.25, 3.75, 3.75, -2.25, -2.25, 6.75, 6.75, -3.25, -3.25, 8.75, 8.75, -2.25, -2.25)

Square each deviation to get the squared differences.

Squared Differences: (27.56, 27.56, 18.06, 18.06, 5.06, 5.06, 10.56, 10.56, 1.56, 1.56, 7.56, 7.56, 0.06, 0.06, 0.06, 0.06, 0.56, 0.56, 1.56, 1.56, 14.06, 14.06, 5.06, 5.06, 45.56, 45.56, 10.56, 10.56, 76.56, 76.56, 5.06, 5.06)

Find the sum of squared differences.

Sum of Squared Differences = 392.12

Divide the sum of squared differences by (n-1), where n is the number of data points, to calculate the sample variance.

Sample Variance = Sum of Squared Differences / (n-1) = 392.12 / (32-1) = 12.88

Take the square root of the sample variance to get the sample standard deviation.

Sample Standard Deviation = √(Sample Variance) = √(12.88) ≈ 3.59

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Answer:

2.23

Step-by-step explanation:

tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet

Answer:

False

Step-by-step explanation:

In the confidence interval, the population parameter is unknown and the interval is a random variable.

According to the question The probability that a New York teenager owns a skateboard or a bicycle is 0.82.

Let's denote the event of owning a skateboard as \(\(A\)\) and the event of owning a bicycle as \(\(B\).\)

We are given:

\(\(P(A) = 0.37\)\) (probability of owning a skateboard)

\(\(P(B) = 0.81\)\) (probability of owning a bicycle)

\(\(P(A \cap B) = 0.36\)\)  (probability of owning both skateboard and bicycle)

To find the probability that the teenager owns a skateboard or a bicycle    \((\(A \cup B\))\) , we can use the formula:

\(\[P(A \cup B) = P(A) + P(B) - P(A \cap B)\]\)

Substituting the given values:

\(\[P(A \cup B) = 0.37 + 0.81 - 0.36\]\)

Calculating:

\(\[P(A \cup B) = 0.82\]\)

Therefore, the probability that a New York teenager owns a skateboard or a bicycle is 0.82.

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A ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value.

The given data set is 245, 261, 289, 222, 291, 289, 240, 233, 249, and 200. To create a ranked frequency distribution of this data set, we first need to sort it in ascending or descending order. Let's sort it in ascending order:200, 222, 233, 240, 245, 249, 261, 289, 289, 291 Next, we need to count the frequency of each value. We can do this by going through the data set and counting how many times each value occurs. Here is the frequency distribution table:Value Frequency 200 1222 1233 1240 1245 1249 1261 1289 2291 1 From this table, we can see that the most frequent value is 289, which occurs twice. We can also see that the least frequent values are 200, 222, 233, and 240, which each occur only once.

In conclusion, a ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value. This allows us to see which values are most and least frequent in the data set.

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Answer:

K is the midpoint of JL.

I hope this helps:)

Area of a circle = πr^2

Area of a sector with angle x° = (x/360) πr^2

for the smaller sector,

x = 80°

r = 8 m

Required area of sector = (80/360) × π × 8^2 = 44.68 m^2

To the nearest tenth, Area = 44.68 m^2

Answer:

498

Step-by-step explanation:

To find the difference, we need to round both numbers first:

1,472.63:

Because 1,472.63 ends with a 6 in the tenths as a decimal,

We need to round up

so, 1472.63 becomes 1473

975.28:

Because 975.28 ends with a 2 in the tenths as a decimal,

We need to round down

so, 975.28 becomes 975

1473 - 975 = 498

Answer:

19 dimes and 34 nickels

Step-by-step explanation:

dimes: 19

nickels 34

19 dimes x 10 = 190

34 nickels x 15 = 170

190 + 170 = 360 turn that to money value = 3.60

and 19 + 34 = 53

hope this helps

Answer:

x-intercept = (-8,0)                         y-intercept = (0,14)

Step-by-step explanation:

-7x + 4y = 56

4y = 7x + 56

y = 7/4x + 14

y-intercept = 14

0 = 7/4x + 14

-7/4x = 14

x = -8

The probability of the sets are solved and

a) n(P U Q) = 85%

b) n(P ∩ Q) = 20%

c) n(only P) = 35%

d) n(only Q) = 30%

Given data ,

P and are the subsets of universal set U

And , n (p) = 55% n (Q) = 50% and n(PUO)complement = 15%

Now , we'll use the formula for the union and intersection of sets:

n(P U Q) = n(P) + n(Q) - n(P ∩ Q)

n(P ∩ Q) = n(P) + n(Q) - n(P U Q)

n(only P) = n(P) - n(P ∩ Q)

n(only Q) = n(Q) - n(P ∩ Q)

We're given that:

n(P) = 55%

n(Q) = 50%

n(P U Q)' = 15%

To find n(P U Q), we'll use the complement rule:

n(P U Q) = 100% - n(P U Q)'

n(P U Q) = 100% - 15%

n(P U Q) = 85%

Now we can substitute the values into the formulas above:

(i)

n(P U Q) = n(P) + n(Q) - n(P ∩ Q)

n(P ∩ Q) = n(P) + n(Q) - n(P U Q)

n(P ∩ Q) = 55% + 50% - 85%

n(P ∩ Q) = 20%

(ii)

n(P ∩ Q) = 20%

(iii) n(only P) = n(P) - n(P ∩ Q)

n(only P) = 55% - 20%

n(only P) = 35%

(iv)

n(only Q) = n(Q) - n(P ∩ Q)

n(only Q) = 50% - 20%

n(only Q) = 30%

Hence , the probability is solved

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for transformation equivalent to reflection across the x axis

rotate 180 degree about the origin and reflection about the x axis.

option C is correct.

Answer: 1.29n + 0.79w + 3.39b  is the expression.

The total cost is $12.91

Step-by-step explanation:  Substitute the number of pounds for each given supply. Multiply to get the individual amounts, then add all of those amounts to find the total cost.

1.29(2) + 0.79(4) + 2.39(3) = total

2.58 + 3.16 + 7.17 = 12.91

Answer:

1.29n + 0.79w + 2.39b

1.29(2) + 0.79(4) + 2.39(3) =

2.58 + 3.16 + 7.17 = $12.91

Step-by-step explanation:

Answer:

x < 16

Step-by-step explanation:

The number of people that can be in a tour group at the zoo must be fewer than 16 people.

Let the number of people in the Justin's tour group is x.

According to the question, the inequality is given by

x < 16.

This is the desired inequality.

Answer: 0.039

Step-by-step explanation:

Answer:

1200

Step-by-step explanation:

step 1: Locate and underline the hundreds place (2) then look at the digit to the right (1): 1212

Step 2: The digit to the right (1) is 4 or below. So, we replace it with a 0 (zero) to get 1200 as the answer.

In short: 1212 rounded to the nearest hundred is 1200.

Answer:

  a) 56.25 mph

  b) $1.59/lb

Step-by-step explanation:

The units of the "unit rate" tell you the math operation you need to perform.

Miles per hour (mi/h) is found by dividing miles by hours.

  (450 mi)/(8 h) = (450/8) mi/h = 56.25 mi/h

Dollars per pound ($/pound) is found by dividing dollars by pounds.

  ($7.95)/(5 pounds) = (7.95/5) $/pound = 1.59 $/pound

__

Additional comment

In the context of unit rates, "per" means "divided by."

What makes a rate a "unit rate" is the "1 unit" in the denominator. For miles per hour, the denominator is 1 hour. For dollars per pound, the denominator is 1 pound.

Answer:

m = -5 + 2b

Step-by-step explanation:

2b - m = 5

-2b    -2b

-m = 5 - 2b

-1         -1

5 ÷ -1 = 5

-2b ÷ -1 = 2b

m = -5 + 2b