you have taken up gardening for relaxation and have decided to fence in your newrectangular shaped masterpiece. the length of the garden is 4 meters and 52 meters offencing is required to completely enclose it. what is the width of the garden?

Answer:

f(x) = x ³ shifted 4 units to the right will be g(x) = f(x-4) = (x - 4)³

Step-by-step explanation:

If a function f(x) is shifted right 4 units every x coordinate will become x - 4

g(x)  = f(x - 4) = (x - 4)³

The ship is about 65.6 meters away from the base of the lighthouse.

What is tangent function ?

Tangent is one of the three primary trigonometric functions, along with sine and cosine. In a right triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the adjacent side.

The tangent function is denoted by "tan" and is defined mathematically as:

tan(theta) = opposite / adjacent

where theta is the angle, opposite is the length of the side opposite the angle, and adjacent is the length of the side adjacent to the angle.

According to the question:
We can use trigonometry to solve this problem. Let's draw a right triangle with the lighthouse at the top, the ship at the bottom, and the line connecting them as the hypotenuse. The angle of depression of 26° is the angle between the hypotenuse and the horizontal line passing through the lighthouse. We know the height of the lighthouse is 32 meters.

Let x be the distance between the ship and the base of the lighthouse, which is the adjacent side of the angle of depression. Then we can use the tangent function:

tan(26°) = opposite / adjacent

We know the opposite side is the height of the lighthouse, which is 32 meters. Solving for x:

x = opposite / tan(26°)

x = 32 / tan(26°)

x ≈ 65.6 meters

Therefore, the ship is about 65.6 meters away from the base of the lighthouse.

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Thus, the least number of times the button need to be pressed is: red- 4 times, green 3 times and blue button 6 times.

The technique of expressing all numbers as the product of primes is known as prime factorization. So, let's take something like the number 20 as an example. It can be divided into two components. "Well, that's 4 times 5," we can respond. Observe that 5 is a prime number.

Given data:

The number formed as:

(x²) .(y³).(z)  ...eq 1

Number appeared on screen - 2592

Find the prime factors of 2592.

2592 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3

This can be written as:

2592 = 4² x 3³ x 2 x 3

2592 = 4² x 3³ x 6¹  .....eq 2

comparing eq 1 and 2

(x²) .(y³).(z)  =  4² x 3³ x 6¹  

x = 4, y = 3 and z = 6

Thus, the least number of times the button need to be pressed is: red- 4 times, green 3 times and blue button 6 times.

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Answer:772

Step-by-step explanation:

SA=PH+2b

SA=(10+8+10+8)(17)+2(8x10)

SA=772

Answer:

Step-by-step explanatin

multiply all of them

Answer:

[tex]26 > n + 15[/tex]

[tex]11 > n[/tex]

[tex]n < 11[/tex]

None of these options

Option A

Conversion of measurement of Metres to Centimetres can be done by multiplying the number by 100

1 metre = 100 centimetres

5.2 metres = 520 centimetres

Option B

Conversion of measurement of Metres to Decametres can be done by multiplying the number by 0.1

1 metre = 0.1 decametres

5.2 metres = 0.52 decametres

Option C

Conversion of measurement of Metres to Decimetres can be done by multiplying the number by 10

1 metre = 10 decimetres

5.2 metres = 52 decimetres

Option D

Conversion of measurement of Metres to Kilometres can be done by multiplying the number by 0.001

1 metre = 0.001 kilometres

5.2 metres = 0.0052 kilometres

Therefore,

5.2 metres = 520 centimetres

5.2 metres=  0.52 decametres

5.2 metres= 52 decimetres

5.2 metres= 0.0052 kilometres

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Answer:

x = 13°

Step-by-step explanation:

-> all angles of triangle add up to 180°

-> right angle = 90°

-> GIVEN: 90° and 23°

90° + 23° + (6x-11) = 180°

6x-11 = 67°

6x = 78°

[tex]\frac{6x}{6} =\frac{78}{6}[/tex]

x = 13°

Answer:

79

Step-by-step explanation:

Using the formula

A=wl

Solving forl

l=A

w=5056

64=79m

To find area, you multiply the width by the length [tex]( \text{A} = \text{L} \times \text{W})[/tex]. Here, it is asking for the length, giving the area of the pool and the width. With this information, you can inverse operation ( division) to find the length of the pool. So:

[tex]5056 \div 64 = 79[/tex]

This tells us that the length of the pool is 79 meters. To check this answer, multiply 64 and 79. If it's equivalent to 5056, the given area, then 79 is indeed the length of the pool.

[tex]64 \times79 = 5056[/tex].

Thus, the length of the pool is 79 m.

Answer:

3(2c + d) - 4(c - d) + d² = 32

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

We have to use,

→ d = 3

→ c = 1

The given expression is,

→ 3(2c + d) - 4(c - d) + d²

Let's simplify the expression,

→ 3(2c + d) - 4(c - d) + d²

→ 3(2(1) + 3) - 4(1 - 3) + 3²

→ 3(2 + 3) - 4(-2) + 9

→ 3(5) + 8 + 9

→ 15 + 17

→ 32 => {final answer}

Therefore, the answer is 32.

The 99% confidence interval for the true population mean textbook weight is (38.11, 39.89) ounces.

We can find the standard error (SE) by using the formula:

SE = σ/√n

Where

σ = population standard deviation = 2.8 ounces

n = sample size = 41

SE = 2.8/√41

SE = 0.436

Now we can find the confidence interval by using the formula:

CI = x ± z*SE

Where

x = sample mean = 39 ounces

z* = the z-value corresponding to the level of confidence of 99 percent

The z-value corresponding to the level of confidence of 99 percent can be found using the z-table or calculator. It is found to be 2.576.

CI = 39 ± 2.576*0.436

CI = (38.11, 39.89)

Therefore, we can say that we are 99% confident that the true population mean textbook weight is between the interval (38.11, 39.89) ounces.

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The distance between the two points (-8,-1) and (-8,4) is 5 units.

The distance formula is a mathematical formula used to find the distance between two points in a two-dimensional or three-dimensional coordinate system.

The distance between two points (x1, y1) and (x2, y2) in a two-dimensional coordinate system can be found using the distance formula:

d = √((x2 - x1)² + (y2 - y1)²)

In this case, the two points are (-8, -1) and (-8, 4). Therefore, we can substitute the values into the formula:

d = √((-8 - (-8))² + (4 - (-1))²)

= √(0² + 5²)

= √(25)

= 5

Therefore, the distance between the two points is 5 units, so the answer is (B) 5.

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Answer: x 3= 27/125

Step-by-step explanation:

Answer:

No, q=15 is not a solution to the inequality.

Step-by-step explanation:

As given, q=15. So, substituting is the best way to solve this problem.

Step 1: Substitute

[tex]\frac{15}{5}=3[/tex]

[tex]15-20=-5[/tex]

Step 2: Substitute values into inequality

[tex]3 < -5[/tex]

Equation is false since 3 is a bigger value than -5.

Hope this helps ya!

The x-intercepts of the graphed function are:

(-2, 0), (-1, 0), (1, 0), and (2, 0)

For any function, we define the x-intercepts as the values of x such that y= 0, when we have a graph we can identify these values as the values of x at which the graph intercepts the x-axis.

Remember that the x-axis is the horizontal one, then, we can look at the graph and identifty the 4 x-intercepts, these are at the values of x:

x = -2

x = -1

x = 1

x = 2

Writting them in point notation, these are (-2, 0), (-1, 0), (1, 0), and (2, 0)

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Answer:L x b

              98ft x 56ft =5488

                                  =5488 / $3.75= $1463.47

Step-by-step explanation: Play ground is more like a rectangle so we use the formula for the rectrectangle to get total area . A=Lxb

Divide  the total with the cost since it say each per sqr feet

A=lxb

98x56=5488

5488/3.75= 1463.47

The probability that the second smallest integer from a set of six distinct integers is picked at random is the same as the probability that the first smallest is 1.

This can be expressed mathematically as:

P(second smallest) = P(first smallest).

The probability of the first smallest integer is the number of combinations that result in the first smallest number divided by the total number of possible combinations of six distinct integers.

For example, if we have six distinct integers in a set, A, B, C, D, E, and F, the probability of A being the first smallest is the number of combinations that result in A being the smallest divided by the total number of combinations.

The combinations that result in A being the smallest are {A, B, C, D, E, F}, {B, A, C, D, E, F}, {C, A, B, D, E, F}, and so on. That’s a total of 6 combinations out of the total possible number of combinations, which is 6 x 5 x 4 x 3 x 2 x 1 = 720.

Therefore, P(first smallest) = 6/720 = 1/120. Similarly, the probability of the second smallest number being the same is also 1/120.

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The expression 2(10+12) can be rewritten as 44 using the distributive property of multiplication over addition.

The distributive property is a fundamental property of arithmetic that relates multiplication to addition and subtraction. The distributive property of multiplication over addition states that for any numbers a, b, and c

a( b + c ) = ab + ac

Using this property, we can rewrite the expression 2(10+12) as

2( 10 + 12 ) = 2(10) + 2(12)

Here, we have distributed the factor of 2 over the terms inside the parentheses, using the distributive property. This gives us:

2(10+12) = 20 + 24

Simplifying further, we get

2(10+12) = 44

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To use the normal approximation for the confidence interval in the sampling distribution of the population proportion, the following conditions must be met:

If these conditions are met, then the distribution of the sample proportion can be approximated by a normal distribution with a mean of p and a standard deviation of sqrt(p*(1-p)/n).

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Full Question ;

The sampling distribution of the population proportion is based on a binomial distribution. What condition must be met to use the normal approximation for the confidence interval?

Answer:

The probability that a randomly selected camper likes to have a cookout will be 0.93.

Step-by-step explanation:

did it already.

Answer:   To solve this problem, we need to find the probability that a randomly selected camper likes swimming or having a cookout, but not both. We can do this by using the formula:

P(S or C, but not both) = P(S) + P(C) - 2P(S and C)

We are given the following probabilities from the Venn diagram:

P(S) = 0.06 (the proportion of the circle labeled S)

P(C) = 0.04 (the proportion of the circle labeled C)

P(S and C) = 0.89 (the proportion of the shared area)

Substituting these values into the formula, we get:

P(S or C, but not both) = 0.06 + 0.04 - 2(0.89)

= 0.10 - 1.78

= -1.68

This is not a valid probability, as probabilities cannot be negative. Therefore, there must be an error in the problem statement or the Venn diagram. Please check the values again and ensure they are correct.

Step-by-step explanation:

For the number of miles driven, Company A will charge less than Company B if x<y, where x is the number of miles driven for Company A and y is the number of miles driven for Company B. Therefore, the inequality is x<y.

When comparing two companies for their charges for a specific service, it is necessary to obtain a basic understanding of the charges for each company. You can make use of the inequality operator to check when one company will charge less than the other company.

To use the inequality operator, you'll need to calculate the differences between the two companies for the specific mileage. Let's assume that the mileage is represented by "m" and that the charge for company A is "cA" and the charge for company B is "cB".

If the question only provides specific numerical values for these variables, you can substitute them into the inequality formula. If you're given algebraic expressions, you'll need to simplify them before substituting them into the inequality formula.

The inequality formula for comparing the charges is as follows: cA < cB.

To use this formula, substitute the expression for each variable.

For example: 4m + 20 < 3.5m + 35 Now, you'll need to simplify the inequality by performing algebraic operations on both sides of the inequality. Begin by subtracting 3.5m from both sides of the inequality: 0.5m + 20 < 35.

Next, subtract 20 from both sides of the inequality: 0.5m < 15 Finally, divide both sides of the inequality by 0.5: m < 30

Therefore, Company A will charge less than Company B for any mileage less than 30.

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Answer:22

Step-by-step explanation:

h + i3 = ?

19 + 1X3 = 22

Answer:

h + i3 = 22

Step-by-step explanation:

Given expression,

→ h + i3

→ h + 3(i)

Now we have to use,

→ i = 1

→ h = 19

Let's simplify the expression,

→ h + 3(i)

→ 19 + 3(1)

→ 19 + 3

→ 22 => {final answer}

Hence, the solution is 22.

We can expect approximately 90 mosquitoes in the trap at the end of the 13-week mosquito season.

Based on the given data, we can observe that the number of mosquitoes is increasing over time, and the increase is not constant. So, it would be unreasonable to continue counting individual mosquitoes after a certain point.

To estimate the number of mosquitoes at the end of the 13-week mosquito season, we can assume that the rate of increase remains constant over time. Using this assumption, we can find the average increase in mosquitoes per week, which is the difference between the number of mosquitoes in the last week and the number in the first week, divided by the number of weeks:

Average increase = (27 - 8) / 3 = 6.33

Then, we can use this average increase to estimate the number of mosquitoes in the 13th week:

Number of mosquitoes in the 13th week = 27 + 6.33 × 10 = 90.3

Since we cannot have a fraction of a mosquito, we can round this estimate to the nearest whole number.

Therefore, we can expect approximately 90 mosquitoes in the trap at the end of the 13-week mosquito season.

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The probability of making a Type I error is represented by alpha (α), which is typically set to 0.05 in hypothesis testing. Therefore, if α = .05, the likelihood of making a Type I error is 5% at most.

What is hypothesis testing? Hypothesis testing, also known as statistical hypothesis testing, is a technique used to evaluate two hypotheses about a population using sample data. One hypothesis, known as the null hypothesis (H0), proposes that there is no significant difference between a population parameter and a sample parameter, whereas the other hypothesis, known as the alternative hypothesis (H1), suggests that there is a significant difference between a population parameter and a sample parameter.You might have made a Type I error, but the probability is only 5% at most is true if you complete a hypothesis test using α = .05, and based on the evidence from the sample, your decision is to reject the null hypothesis, but the treatment actually has no effect. In the given situation, if the treatment actually has no effect, you might have made a Type I error, but the probability is only 5% at most. When the null hypothesis is rejected when it should not be, a Type I error occurs. The probability of making a Type I error is represented by alpha (α), which is typically set to 0.05 in hypothesis testing. Therefore, if α = .05, the likelihood of making a Type I error is 5% at most.

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Answer:

x = 79

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ BHC = x is an exterior angle of Δ BHD , then

x = 33 + 46 = 79

Answer:21924 different ways

Step-by-step explanation:

There are 29 choices for the blue ribbon, 28 for the red and 27 for the yellow. If you multiply 29x28x27 you get 21924

If there are 29 horses competing in the show. then there are 21,084 ways can the blue, red, and yellow ribbons be awarded.

           Ribbons are awarded to horses. Therefore, we will use the multiplication rule of probability to find the total number of ways in which the blue, red, and yellow ribbons can be awarded.

       Multiplication Rule of Probability If there are 'm' ways of doing one thing and 'n' ways of doing another thing, then there are 'm*n' ways of doing both things.

       Multiplication Rule of Probability formula:

                A total number of ways of doing both things = m*n

      To find the total number of ways in which the blue, red, and yellow ribbons can be awarded to horses,

we need to multiply the number of ways of giving each ribbon.

        Blue ribbons can be awarded to 29 horses.

        Red ribbons can be awarded to 28 horses.

        Yellow ribbons can be awarded to 27 horses.

The multiplication rule of the probability formula will be applied to get the total number of ways of awarding blue, red, and yellow ribbons to horses.

 A total number of ways of awarding blue, red, and yellow ribbons = Number of ways of awarding blue ribbons × Number of ways of awarding red ribbons × Number of ways of awarding yellow ribbonsTotal number of ways of awarding blue, red, and yellow ribbons

                          = 29 × 28 × 27

 The total number of ways of awarding blue, red, and yellow ribbons

                          = 21,084

 Therefore, there are 21,084 ways in which the blue, red, and yellow ribbons can be awarded to horses.

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The values as per similarity of traingles is x=4 and y=10.

Since ABC and DEF are similar triangles, their corresponding sides are proportional.

That is,

AB/DE = AC/EF = BC/DF

Substituting the given values, we get:

9/6 = 18/10 = (4x-1)/y

Simplifying this expression, we can solve for x and y:

9/6 = (4x-1)/y

Cross-multiplying, we get:

27y = 6(4x-1)

27y = 24x - 6

Substituting y = 10/3, we get:

(27)(10/3) = 24x - 6

90 = 24x - 6

96 = 24x

x = 4

Therefore, the value of x is 4.

9/6 = (4x-1)/y

Substituting x = 4, we get:

9/6 = (4(4)-1)/y

9/6 = 15/y

Cross-multiplying, we get:

9y = 90

y = 10

Therefore, the value of y is 10.

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Based on the provided information The seller received a fee of $122.

The term "commission" describes the payment made to the staff member after they successfully complete a job, which is frequently marketing a predetermined quantity of goods or services. Selling goods or services is difficult. Sales and marketing professionals must contend with fierce rivalry.

The commission rules are defined by the following piecewise function:

c(p) = 0.10p, if p ≤ 1,000

c(p) = 0.15p - 50, if 1,000 < p ≤ 1,500

c(p) = 0.20p - 125, if p > 1,500

a. If the profit is $1,500, the commission rate is calculated using the second rule:

c(1,500) = 0.15(1,500) - 50 = 175

The commission rate is $175 / $1,500 = 0.1167, or approximately 11.67%.

b. If the profit is $900, the commission rate is calculated using the first rule:

c(900) = 0.10(900) = 90

The commission rate is $90 / $900 = 0.10, or 10%.

c. To find the commission on a car sold for a $970 profit, we need to determine which rule applies. Since 970 is less than 1,000, we use the first rule:

c(970) = 0.10(970) = 97

The commission on a car sold for a $970 profit is $97.

d. The profit on the car sale is calculated as follows:

profit = selling price - purchase price = $33,200 - $32,090 = $1,110

To determine the commission, we need to identify the appropriate rule based on the profit amount. Since $1,110 is greater than $1,500, we use the third rule:

c(1,110) = 0.20(1,110) - 125 = 122

The commission paid to the salesperson is $122.

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Answer:

yes you're right!

Step-by-step explanation:

-6 equals c because the quadratic formula is [tex]ax^2+bx+c=0[/tex].

to apply the formula, we would end up with [tex]\frac{-(-2)±\sqrt(-2)^2-4*3(-6)}{2(3)}[/tex] as our answer

once we simplify, we're left with [tex]x=\frac{2±2\sqrt{19}}{6}[/tex]

we break the equations into two to separate the positive sign's answer from the negative sign's answer, so we'll have [tex]x=\frac{2+2\sqrt{19} }{6}[/tex] and [tex]x=\frac{2-2\sqrt{19} }{6}[/tex]

isolate the variable to get our solution, [tex]x=\frac{1±\sqrt{19} }{3}[/tex]

Answer:

8 7/15

Step-by-step explanation:

4/5 and 2/3 need to a a common denomenator

4/5*3 and 2/3*5 = 12/15 and 10/15 so 5 12/15 + 2 10/15= 7 22/15= 8 7/15

Answer: A and C

Step-by-step explanation:

angles in a triangle add up to 180

180 - 30 = 150

other two angles must add up to 150 and two of the angles have to be the same.

Since one is already 30, one of the others have to also be 30 or both of the others have to be the same.

A and C both add up to 150 and both of them have one angle repeating