A star sits at the top of a 27 foot tall christmas tree. the star is seen by a child who is standing 11 feet away from the tree.

to the nearest degree, what is the angle of elevation from the child to the star?

Okay, here we have this:

Considering the provided equation, we are going to rewriting it into slope-intercept form. So we obtain the following:

6x+2y=6

2y=-6x+6

y=(-6x+6)/2

y=-3x+3

Finally we obtain that the equation of the line is slope-intercept form is y=-3x+3. Then replacing in y=mx+b, we have:

y=-3x+3

y=mx+b

Then, m=-3 and b=3.

Answer:

6

Step-by-step explanation:

Let the first number be x

Let the second number be y

x + 2y= 4............equation 1

2x +y= 11............equation 2

From equation 1

x + 2y= 4

x = 4-2y

Substitute 4-2y for x in equation 2

2x + y= 11

2(4-2y) + y= 11

8-4y+y= 11

8-3y= 11

-3y= 11-8

-3y= 3

y= -1

Substitute -1 for y in equation 1

x + 2y= 4

x + 2(-1) = 4

x-2= 4

x = 4+2

x = 6

Hence the first number is 6

Answer: Jack's payment is $53 (per day of work)

Step-by-step explanation:

The equation that describes how much Jack is paid is:

f(x) = $8 + $10*x

Where x is the number of hours that he works.

If he works from 2:30pm to 7:00 pm, then the number of hours that he worked is equal to the difference between these times, but first let's convert them into only hours:

2:30 = 2 hours and 30 minutes

remember that one hour has 60 minutes.

Then 30 minutes = 0.5 hours

2:30 = 2.5 hours.

7:00 = 7 hours.

Then the number of hours that Jack worked is:

7h - 2.5h = 4.5h

Then just replace x by 4.5 in the equation f(x):

f(4.5) = $10*4.5 + $8 = $53

Jack's payment is $53 (per day of work).

The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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Answer:

C

Hope that helps!

Step-by-step explanation:

The recursive equation that represents this situation in the bowling alley is f(n) = 2.75 + 4.75n .

The cost of each game = $4.75

Number of games played = n

Total cost of n number of games played = 4.75n

Cost of shoe rental =$2.75

Total cost for n games = 2.75 + 4.75n

Recursive equation : f(n) = 2.75 + 4.75n

Any combination of the terms that came before it equals the nth term in a string of integers, according to a recurrence relation equation. For a parameter k that is independent of n, only k prior terms of the sequence normally appear in the equation; this number k is referred to as the order of the relation.

If the first k numbers in a sequence have values, the remaining numbers can be calculated by repeatedly applying the equation.

A linear recurrence's nth term is a linear function of the first k terms. The recurrence of the Fibonacci numbers is one prominent illustration.

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We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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The equation that represents the function M = p - 4/9

First, we need to know that the formula for the equation of a line is expressed as;

y = mx + c

This is so such that the parameters of the formula are given as;

The formula for the slope of a line is expressed as;

Slope, m = y₂- y1/x₂- x₁

Substitute the values, we have;

Slope, M= p - 4/4 --5

Subtract the values, we have;

Slope, M = p - 4/9

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the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

it isn't proportional because it doesn't go through the origin.

Step-by-step explanation:

The four triangle congruence theorems are SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle) and AAS (Angle-Angle-Side).

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The lengths that make the sense for the value of b are 0.5 inches and 2 inches.

An isosceles triangle has two sides of equal length, a, and a base, b.

The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.

If two sides of a triangle are unequal, the longer side has a greater angle opposite to it.

\(\rm a+a > b\\\\2a > b\)

The equation of the perimeter of the triangle;

\(\rm 2a+b = 15.7\\\\2a = 15.7-b\\\\a = \dfrac{15.7-b}{2}\)

1. Substitute b = 0.5 in the equation;

\(\rm a = \dfrac{15.7-b}{2}\\\\ a = \dfrac{15.7-0.5}{2} \\\\ a = \dfrac{15.2}{2}\\\\a = 7.6\)

Then,

Verify the triangle inequality theorem;

0.5 + 7.6 > 7.6 is true

7.6 + 7.6 > 0.5 is true

2. Substitute b = 2 in the equation;

\(\rm a = \dfrac{15.7-b}{2}\\\\ a = \dfrac{15.7-02}{2} \\\\ a = \dfrac{13.7}{2}\\\\a = 6.85\)

Then,

Verify the triangle inequality theorem;

0.5 + 76.85 > 6.85 is true

6.85 + 6.85 > 2 is true

Hence, the lengths that make the sense for the value of b are 0.5 inches and 2 inches.

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1 is the missing exponent in the equation

The given expression is 14=14ˣ

Forteen equal to forteen power x

We have to find the value of x which is the missing exponent

When x is equal to one then 14 will be equal to 14

14=14¹

Which means x is equal to one

Hence, 1 is the missing exponent in the equation

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The graph of the line passes through the points (0,6) and (3,0)

(a) The equation of the line AB:

The slope of the line is;

Slope = change in y ÷ change in x = \(\frac{0 - 6}{3 - 0}\) = -2

Picking another point (x,y) on the line;

Slope = \(\frac{y - 0}{x - 3}\) = -2

Cross-multiplying gives;

y = -2x + 6 (which is the equation of line AB)

(b) The gradient of the line perpendicular to AB:

The products of slopes of two perpendicular lines = -1

Since the slope of our line = -2,

We assume the perpendicular line has a slope of a,

So a × -2 = -1

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

So the slope (gradient) of the perpendicular line = \(\frac{1}{2}\)

(c) The equation of the line passing through point A and perpendicular to AB:

Point A is the point (0,6) on the graph.

A line that passes through this point and is perpendicular to AB must have a gradient (or slope) of \(\frac{1}{2}\)

Taking another point (x,y) on the perpendicular line;

Slope = change in y ÷ change in x

\(\frac{1}{2}\) = \(\frac{y - 6}{x - 0}\)

Cross-multiplying gives;

2y - 12 = x

2y = x + 12

y = \(\frac{x}{2}\) + 6 (the equation of the perpendicular line via A)

a) -2

b) 1/2

c) x/2 + 6

Hence, The probability that the arrival time between vehicles is 10 sec or less and 6 sec is 0.62 and 0.45 respectively.

Simply, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability

The probability that arrival time between vehicles is 10 sec or less.

\(P (X\leq 10) = 1-e^{-\frac{1}{10}*10 } = 1-e^{-1} =1- 0.3679= 0.6231= 0.62\)

The probability that arrival time between vehicles is 6 sec or less.

\(P (X\leq 6) = 1-e^{-\frac{1}{10}*6} = 1-e^{-0.6} =1- 0.54=0.45\)

Hence, The probability that the arrival time between vehicles is 10 sec or less and 6 sec is 0.62 and 0.45 respectively.

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The first quartile of the distribution of the semiconductor lifetime is 3266 hours

Given the mean of a normal distribution is 5000 hours and a standard deviation of 1000 hours. We need to find the first quartile of the distribution of the semiconductor lifetime.

Quartiles are dividing points of a set of observations into quarters. Therefore, the first quartile is denoted as Q1, which means that one-quarter of the data is less than Q1, and three-quarters are more than Q1. We know that a normal distribution is symmetrical, the 50th percentile is the same as the mean.So, we need to calculate the z-score for the first quartile.

z-score for the first quartile=  (25th percentile/100) = 0.25  => -0.674

z-score equation isz = (x - μ) / σ

Where x = score of interest, μ = mean, and σ = standard deviation

Here, we have μ = 5000, σ = 1000, and z = -0.674

Rearranging the above z-score equation, we get x = (z * σ) + μ

Putting all the given values into the above equation, we get

x = (-0.674 * 1000) + 5000x =  $ 3265.62

Therefore, the first quartile of the distribution of the semiconductor lifetime is 3265.62 or 3266 (approx).

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The statement, "Colbert "Real-Estate" Agency's number of home showings by its agents is same "each-day" of week, then variable for number of showings, is a continuous distribution" is False, because it represents a discrete distribution.

If the Colbert "Real-Estate" Agency has determined the number of "home-showings" by their agents is "same" each day of week, then variable "number of showings" is not a continuous distribution. Rather, it is a discrete distribution,

where the values can take on only  finite number of values. In this case, the number of home showings can only be a whole number, such as 0, 1, 2, 3, etc.

A continuous distribution is the one where the possible values of the variable are not restricted to any particular set of numbers, and can include any value in a given range.

An example of a continuous distribution would be the height of adult humans, where any real number between 0 and infinity is a possible value.

Therefore, the statement is False.

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Answer:

C. 25

Step-by-step explanation:

(a + b)²

= (2 + 3)²

= (5)²

= 25

hope this helps...

The correct choice is: OA. The solution set is {π/4}. To summarize, the correct choice is: OA. The solution set is {π/4}.

To solve the equation 3cot(x) + 4 = 7 over the interval [0, 2x), we'll first isolate the cotangent term and then find the values of x that satisfy the equation.

Let's start by subtracting 4 from both sides of the equation:

3cot(x) = 7 - 4

3cot(x) = 3

Now, divide both sides of the equation by 3:

cot(x) = 1

The cotangent function is the reciprocal of the tangent function, so cot(x) = 1 is equivalent to tan(x) = 1.

Now, we need to find the values of x in the interval [0, 2x) that satisfy tan(x) = 1.

The tangent function is positive in the first and third quadrants. In the first quadrant, the tangent function is equal to 1 at π/4 radians. In the third quadrant, it is also equal to 1 at 5π/4 radians.

Since we are looking for solutions in the interval [0, 2x), we can consider the solution π/4.

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Answer:

i think they are y and (x,y)

The centimeters that the side of the tile measure when Antonio wants the square tile kitchen floor as large as possible is 15.2 cm

The complete question is: Antonio wants the square tile kitchen floor as large as possible. If the kitchen is 4.4 m long by 3.2 m wide, how many centimeters should the side of the tile measure?

It should be noted that from the information, Antonio wants the square tile kitchen floor as large as possible and the kitchen is 4.4 m long by 3.2 m wide.

It should be noted that this question is simply about the calculation of the perimeter. It should be noted that the perimeter of a rectangle will be:

Perimeter = 2(length + width)

= 2(4.4 + 3.2)

= 2 × 7.6

= 15.2 cm

Therefore, the centimeters that the side of the tile measure when Antonio wants the square tile kitchen floor as large as possible is 15.2 cm

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Antonio wants the square tile kitchen floor as large as possible. If the kitchen is 4.4 m long by 3.2 m wide, how many centimeters should the side of the tile measure?

400, cus 40*10=400. Brainiest if possible, and tysm!

Answer:

40 * 10 = 400

Step-by-step explanation:

You have to multiply to get the answer :)

Hope yall have a awesome and wonderful day

a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
  Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
  Present value of $400 per year for 7 years at 0% (annuity due): $2,800

To find the present values of the ordinary annuities, we can use the formula for the present value of an annuity:

PV = PMT * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present value
PMT = Payment per period
r = Interest rate per period
n = Number of periods

a. $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14]

≈ $2,702.83

b. $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07]

≈ $1,155.54

c. $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value is simply the total amount of payments over the 7 years:
PV = $400 * 7

= $2,800

d. Reworking previous parts assuming they are annuities due:
For annuities due, we need to adjust the formula by multiplying it by (1 + r):

a. Present value of $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14] * (1 + 0.14)

≈ $2,943.07

b. Present value of $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07] * (1 + 0.07)

≈ $1,233.24

c. Present value of $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value remains the same:
PV = $400 * 7

= $2,800

In conclusion:
a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
  Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
  Present value of $400 per year for 7 years at 0% (annuity due): $2,800

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Step-by-step explanation:

Head opposite angles

2x= 3x-42

x= 42°

the angles are 84°

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x is 42 and the measure of the two given angles is 84° each.

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.

The two of the given angles are vertically opposite angles, therefore, the measure of the two given angles will be the same.

(2x)° = (3x - 42)°

2x = 3x - 42

Subtract 2x from both sides of the equation and add 42 to both sides of the equation,

2x - 2x + 42 = 3x - 42 - 2x + 42

42 = 3x - 2x - 42 + 42

42 = x

Therefore, the value of x is 42. Now, the measure of each angle can be written as,

(2x)° = 2(42) = 84°

(3x - 42)° = 3(42) - 42 = 84°

Hence, the value of x is 42 and the measure of the two given angles is 84° each.

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Answer:

\(x=-4\)

Step-by-step explanation:

\(2x+7-6x=23\)

\(-4x+7=23\)

\(-4x=16\)

\(x=-4\)

Answer:

x=-4

Step-by-step explanation:

2x+7−6x=23

Step 1: Simplify both sides of the equation.

2x+7−6x=23

2x+7+−6x=23

(2x+−6x)+(7)=23(Combine Like Terms)

−4x+7=23

−4x+7=23

Step 2: Subtract 7 from both sides.

−4x+7−7=23−7

−4x=16

Step 3: Divide both sides by -4.

−4x

−4

=

16

−4

x=−4

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.