Given a term in an arithmetic sequence and the common difference,
Can you find the first five terms in the sequence?
(Hint: Use the formula to find the first term. An = Q4 + (n − 1)*d)
15th term in the sequence = 0
Common difference = 4

The probability that a minimum of seven adults enjoy superhero movies is P(X ≥ 7) = P(X = 7) + P(X = 8)

You can calculate the specific values using the formulas and then sum them up to find the probability that a minimum of seven adults enjoy superhero movies out of the random sample of eight adults.

To find the probability that a minimum of seven adults enjoy superhero movies out of a random sample of eight adults, we need to calculate the probability of different scenarios: exactly 7 adults, exactly 8 adults, and add them together.

First, let's calculate the probability that exactly 7 adults enjoy superhero movies. We can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the combination formula (n choose k),

p is the probability of success (58% or 0.58 in decimal form),

n is the number of trials (8 in this case), and

k is the number of successes (7).

Using the formula, we can calculate:

P(X = 7) = C(8, 7) * 0.58^7 * (1 - 0.58)^(8 - 7)

Similarly, the probability that exactly 8 adults enjoy superhero movies is:

P(X = 8) = C(8, 8) * 0.58^8 * (1 - 0.58)^(8 - 8)

To find the probability of a minimum of seven adults enjoying superhero movies, we add these two probabilities together:

P(X ≥ 7) = P(X = 7) + P(X = 8)

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The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)  or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

The quadratic formula can be use to solve the quadratic equation as follows:

x² - 4x + 4 = 0

Modelling it to quadratic equation, ax² + bx + c

Hence,

using quadratic formula,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

Hence,

a = 1

b = -4

c = 4

Therefore,

\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

Finally

x = 2

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The present value with interest rate is 14% is $1810.92.

The future value is $4892.

The interest rate is 14% per year.

The time period is 16 years.

To calculate the present value, we can use the following formula:

present value = future value / (1 + interest rate)**number of years

Plugging in the values for the future value, interest rate, and time period, we get:

present value = 4892 / (1 + 0.14)**16 = 1810.92

Therefore, the present value of $4892 if the interest rate is 14% and the number of years is 16 is $1810.92.

In words, the present value is calculated by dividing the future value by the factor that is 1 plus the interest rate raised to the power of the number of years. In this case, the future value is $4892, the interest rate is 14%, and the time period is 16 years. Therefore, the present value is $1810.92.

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I'm sorry this question is not clear and I am not really able to answer it.

Answer:

40%

Step-by-step explanation:

percent = part/whole × 100%

percent = 22/55 × 100%

percent = 0.4 × 100%

percent = 40%

Answer:

\(g^{-1} (7)=5\)

Step-by-step explanation:

We are asked to find \(g^{-1} (7)\).

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair \((a,b)\) of function \(g\), then the corresponding ordered pair of \(g^{-1}\) would be \((b,a)\).

As we are asked to find \((7,b)\) of  \(g^{-1}\), we can instead find \((b,7)\) of \(g\).

This means that we are looking for where \(g(b)=7\).

From the graph, we can see that for this to be true, \(b=5\)

This means that \(g^{-1} (7)=5\)

The value of g^-1(7) is 5.

What is the value of g^-1(7)?

A function f from a set X to a set Y is said to be invertible if for every y in Y and x in X, there exists a function g from Y to X such that f(g(y)) = y and g(f(x)) = x. function is invertible only if each input has a unique output. That is, each output is paired with exactly one input. That way, when the mapping is reversed, it will still be a function.

Given that:

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair (a, b) of function g , then the corresponding ordered pair of g^-1 would be (b, a).

As we are asked to find (7,b)  of  g^-1, we can instead find (b, 7) of g .

This means that we are looking for where  g(b)=7.

From the graph, we can see that for this to be true, b=5.

So, the value of g^-1(7) is 5.

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Answer:

17

Step-by-step explanation:

hope it helps

Answer:

The value of the expression when k = 40 is 17.

Step-by-step explanation:

Please give the person that answered before me the brainiest because they deserve it, I just used their answer so you could choose brainiest.

Answer:

0.51

Step-by-step explanation:

Answer:

3 2/3

Step-by-step explanation:

First, change the mixed numbers into improper fractions:

1 2/ 3 = 5/3

Last, multiply

5/3 × 1 1 /5

11/3

or

3 2/3

Hope this helps!

mark brainliest if possible!

The equation to find the sum of interior angles of a n-sided polygon is:

(n - 2) * 180

So, we don't know what n is but we can make it look like this:

(n - 2) * 180 = 8,280

Solve for n.

(n - 2) * 180 = 8,280

~Divide 180 to both sides

(n - 2) * 180/180 = 8,280/180

~Simplify

n - 2 = 46

~Add 2 to both sides

n - 2 + 2 = 46 + 2

~Simplify

n = 48

Therefore, the polygon has 48 sides.

Best of Luck!

The value for "q" that will result in "kiwi" being included in the output is option b, "Any integer less than 1 and greater than or equal to 4."

In the given code segment, the switch statement evaluates the value of "q" and executes the corresponding case. If none of the cases match, the default case is executed. In this case, the default case is "default: System.out.println("kiwi");".

Since the default case is reached when none of the other cases match, any value for "q" that is not explicitly defined in the switch statement will trigger the default case, resulting in "kiwi" being included in the output.

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Answer:

A -4,4, A 2,-1,    B -4 1/2, 1 1/2.   C 2 1/2, 2 1/2, 1,1.

Step-by-step explanation:

count the caculations

Answer: 70

Step-by-step explanation: 21+21+14+14

The average sea level at the London bridge in 1928 was approximately 33.16 feet.

Linear interpolation is the process of determining the value of a variable between two points by using the data in between the two points. To find out the average sea level in 1928, we can use linear interpolation or extrapolation.

Extrapolation is the method of estimating a value outside the range of a known set of values. Here are the steps to find out the average sea level in 1928 using linear interpolation:

Step 1: Write down the given data:

In 1920, the average sea level at the London bridge was 33 feet.In 1925, the average sea level at the London bridge was 33.08 feet.

Step 2: Calculate the rate of change:

Step 3: Write the linear equation:

Using the point-slope form of a line, we can write the equation of the line passing through the points (1920, 33) and (1925, 33.08) as follows:y - 33 = 0.016(x - 1920)Simplify the equation: y = 0.016x - 31.872

Step 4: Find the average sea level in 1928:The average sea level in 1928 can be found by substituting x = 1928 in the equation derived in step 3:

y = 0.016(1928) - 31.872y = 0.16 feet

The average sea level at the London bridge in 1928 was approximately 33.16 feet.

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Answer: 9

Step-by-step explanation:

yes

Answer:

x=9

Step-by-step explanation:

The annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

To determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (6.63%)
n = the number of times interest is compounded per year (365 for daily compounding)
t = the number of years (8)
Plugging in the values, we have:
A = 1200(1 + 0.0663/365)^(365*8)
Calculating this, we get A ≈ $1,968.49.
To find the annual percentage yield, we need to find the interest earned:
Interest = A - P = $1,968.49 - $1200 = $768.49
Now, we can find the annual percentage yield using the formula:
Annual percentage yield = (Interest / P) * 100
Plugging in the values, we have:
Annual percentage yield ≈ ($768.49 / $1200) * 100 ≈ 64.04%
Therefore, the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

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Answer:

Your graph should be 5 units up and showing an exponential decay with its horizontal asymptote being 5.  The slope should also be stretched by 5.

Step-by-step explanation:

Hopefully, this helps!  If you're still having problems with the equation, then I recommend you to use a graphing calculator to see what you are doing.

The area of the patio is equal to the total area of the patio and the pool combined minus the area of the pool.
So, the area of the patio is 176m² - 50m² = 126m².

To find the area of the patio, we need to subtract the area of the pool from the total area of the patio and the pool combined.

    Start by calculating the area of the pool:
  - The length of the pool is 10m and the width is 5m, so the area of the pool is 10m * 5m = 50m².

  Next, calculate the total area of the patio and the pool combined:
  - The length of the patio and the pool combined is 10m + 2 * 3m = 16m.
  - The width of the patio and the pool combined is 5m + 2 * 3m = 11m.
  - Therefore, the total area of the patio and the pool combined is 16m * 11m = 176m².

  Finally, calculate the area of the patio:
  - The area of the patio is equal to the total area of the patio and the pool combined minus the area of the pool.
  - So, the area of the patio is 176m² - 50m² = 126m².

The area of the patio is 126m².

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The area of the patio surrounding the pool is 126 square meters.

To calculate the area of the patio surrounding the pool, we need to find the total area of the larger rectangle (pool + patio) and then subtract the area of the pool.

Given:

Calculate the length and width of the larger rectangle (pool + patio).

The length of the larger rectangle will be the length of the pool plus twice the width of the patio (since there are two sides of the patio along the length).

The width of the larger rectangle will be the width of the pool plus twice the width of the patio (for the two sides of the patio along the width).

Length of the larger rectangle = Length of pool + 2 x Width of patio

Length of the larger rectangle = 10m + 2 x 3m = 10m + 6m = 16m

Width of the larger rectangle = Width of pool + 2 x Width of patio

Width of the larger rectangle = 5m + 2 x 3m = 5m + 6m = 11m

Calculate the area of the larger rectangle (pool + patio).

Area of the larger rectangle = Length * Width

Area of the larger rectangle = 16m * 11m = 176 square meters

Calculate the area of the pool.

Area of the pool = Length of pool * Width of pool

Area of the pool = 10m * 5m = 50 square meters

Calculate the area of the patio.

Area of the patio = Area of the larger rectangle - Area of the pool

Area of the patio = 176 square meters - 50 square meters = 126 square meters

Therefore, the area of the patio surrounding the pool is 126 square meters.

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Answer:

X = -3.5

Step-by-step explanation:

Answer:

-7/2

Step-by-step explanation:

4x+16=2

  -16      -16

4x= 2-16

4x=-14

/4    /4

x= -7/2

Answer:

f(x) = Ca^x

x = years since 2000.

f(0) = 220000 = Ca^0 = C

f(x) = 220000a^x

f(1) = 220000(1-0.11) = 220000a^1

a = 0.89

f(x) = 220000(0.89)^x

So each year reduces by 89%

Answer 50 for the bottom and 48 for the sides

Answer:

A

Step-by-step explanation:

It's hard to see but when x is 6, y is 4.5. Just plug that into each equation and see which one is correct.

\(x^{2} =8y\\x=6;y=4.5\\6^{2} =8(4.5)\\36=36\)

Answer:

114

Step-by-step explanation:

12% of 950 is 114, so since 12% more donuts are sold this week, we sold 114 more donuts this week compared to last week.

Answer:

f(5) = 124

Step-by-step explanation:

Step 1: Define

f(x) = 22x + 14

f(5) = x = 5

Step 2: Substitute and evaluate

f(5) = 22(5) + 14

f(5) = 110 + 14

f(5) = 124

When the full moon is at position 3, positions 9 and 12 experience low tide.

The correct option is 9 and 12.

The positions of the moon and the sun have an impact on the tides of the Earth's oceans.

What is a tide?

Tides are the regular rise and fall of the sea level due to the gravitational influence of the Moon and the Sun on the Earth. The gravitational pull of the Moon on the Earth produces two tidal bulges, one on the side of the Earth facing the Moon and one on the side opposite the Moon. The Moon's gravitational pull causes high tides in the area of the bulge and low tides elsewhere on the Earth. The tides are affected by the location of the Sun and the Moon as they orbit the Earth.

In order to determine which two positions experience low tide, the Moon's position must be considered.

When the Moon is directly overhead or opposite to the Earth, its gravitational pull has the greatest effect, causing the greatest difference between high and low tides, also known as spring tides.

When the Moon is at a 90-degree angle to the Earth, its gravitational pull is less, causing a smaller difference between high and low tides, also known as neap tides.

In the given case, when the full moon is at position 3, positions 9 and 12 experience low tide.

Thus, the correct option is 9 and 12.

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The distance from the bottom of the building to the point where the ladder is touching the building for Triangle 2 is 14 feet.

What is triangle?

A triangle is a polygon with three sides and three angles. It is one of the most basic geometric shapes and is often used in geometry, trigonometry, and other branches of mathematics.

Since Triangle 1 and Triangle 2 are similar right triangles formed from the same ladder leaning against the same building, their corresponding sides are proportional to each other.

Let's use the concept of similarity and proportions to solve for the unknown distance in Triangle 2. We can set up the following proportion based on the corresponding sides of the two triangles:

(vertical leg of Triangle 1) : (horizontal leg of Triangle 1) = (vertical leg of Triangle 2) : (horizontal leg of Triangle 2)

We know that in Triangle 1:

the length of the hypotenuse (the ladder) is 16 feet

the length of the horizontal leg (the distance along the ground) is 8 feet

the length of the vertical leg (the distance from the bottom of the building to the point where the ladder is touching the building) is 16 feet

Using the Pythagorean Theorem, we can solve for the length of the vertical leg of Triangle 2:

(vertical leg of Triangle 1) : (horizontal leg of Triangle 1) = (vertical leg of Triangle 2) : (horizontal leg of Triangle 2)

16 : 8 = (vertical leg of Triangle 2) : 7

Simplifying the proportion, we get:

2 : 1 = (vertical leg of Triangle 2) : 7

To solve for the vertical leg of Triangle 2, we can multiply both sides of the proportion by 7:

2 * 7 : 1 * 7 = (vertical leg of Triangle 2)

14 : 1 = (vertical leg of Triangle 2)

Therefore, the distance from the bottom of the building to the point where the ladder is touching the building for Triangle 2 is 14 feet.

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The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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Answer: $91017.17865 / 12 = $7585.5987

Step-by-step explanation:

To solve this problem, we need to first determine the total interest that will be earned on the account over the 5-year period. We can do this by using the formula for compound interest, which is:

A = P (1 + r/n) ^ nt

where A is the total amount of money in the account after the interest has been compounded, P is the initial deposit, r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years the money is deposited.

In this case, the initial deposit is $10,000, the interest rate is 2.05%, the number of times the interest is compounded per year is 12 (because the interest is compounded monthly), and the number of years the money is deposited is 5. Plugging these values into the formula, we get:

A = 10000 (1 + 0.0205 / 12) ^ (12 * 5)

A = 10000 (1.001708333) ^ 60

A = 10000 (1.101717865)

A = 101017.17865

Therefore, the total amount of money in the account after 5 years will be $101017.17865.

Since Monica wants to save up $10,000, we can subtract this amount from the total amount in the account to find out how much she needs to deposit each month in order to reach her goal:

101017.17865 - 10000 = 91017.17865

Therefore, Monica needs to deposit $91017.17865 each month in order to save up $10,000 in 5 years. This means that she will need to deposit $91017.17865 / 12 = $7585.5987 per month in order to reach her goal.

Answer:

It's 38.

Step-by-step explanation:

the sum of three consecutive even integers is 108, the largest number in the sequence would be 38.

I hope this helps you!

Answer:

We can use algebra to solve this problem. Let's call the smallest of the three consecutive even integers x. Since the integers are consecutive and even, the next two integers will be x+2 and x+4.

The problem states that the sum of three consecutive even integers is 108, so we can write an equation:

x + (x+2) + (x+4) = 108

We can simplify this equation by combining like terms:

3x + 6 = 108

3x = 102

x = 34

So, the smallest of the three consecutive even integers is 34.

The next two integers will be x+2 = 34+2 = 36 and x+4 = 34+4 = 38

The largest number of the three consecutive even integers is x+4 = 38.

Answer:

f(x)= (6/x+5)+4

Step-by-step explanation:

y/x translated 5 units

y/x+5 then 4 units up y/(x+5) +4