Joe, in a hot air balloon, observes that the angle of depression to a building on the ground is 69.5°. After ascending 600 ft, he now observes an angle of depression of 73.1° How far is he from the building?

Answer:

B

Step-by-step explanation:

An inequality for the graph above is y ≤ -3x + 6.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-3 - 6)/(3 - 0)

Slope (m) = -9/3

Slope (m) = -3

At data point (0, 6) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 6 = -3(x - 0)  

y = -3x + 6

y ≤ -3x + 6 (since the solid line is shaded below).

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Answer:

15

Step-by-step explanation:

PERT estimate is a measuring strategy that is based on a weighted average. It is used in measuring the uncertainty and risk via three estimates to determine an estimated likelihood for a project's cost or period of completion.

The formula is (O + 4M + P) ÷ 6

Where P is the most pessimistic = 29

M is the most likely = 12

O is the most optimistic = 10

Hence we have (10 + [4*12]+ 29) ÷ 6

= (10 + 48 + 29) ÷ 6

= 87÷6 = 14.5 ≈ 15

Rounded figure is equal to 15.

Hence the final answer to the question is 15

The value of the integral is : ∫₁₅²⁵ f(x)dx =  15.

Here, we have,

given that,

the given integrals are:

∫₀²⁵ f(x)dx=27

and ∫₀¹⁵ f(x)dx=12,

we have to find ∫₁₅²⁵ f(x)dx.

so, we get,

∫₁₅²⁵ f(x)dx

= ∫₁₅⁰ f(x)dx + ∫₀²⁵ f(x)dx

= -∫₀¹⁵ f(x)dx + ∫₀²⁵ f(x)dx

= - 12 + 27

= 15

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Answer:

pls Mark as billant

Step-by-step explanation:

If the fixed cost is rupess 15,it can be removed from the two charge to give the charge of only two hours,which is rupess 150

This mean the hourly charge is rupess 150÷2,which is rupess 75

Answer:

Step-by-step explanation:

it no solution

No solution is parallel to each other.

solution crosses each other.

infinite is only one line.

the radius of convergence is 1 and the interval of convergence is (1, 3) in terms of x-values.

To determine the radius of convergence, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1 as n approaches infinity, then the series converges. Applying the ratio test to the given series, we have:

lim(n->∞) |((x - 2)^(n+1)/(n+1)) / ((x - 2)^n/n)| < 1

Simplifying the expression, we get:

lim(n->∞) |(x - 2)n+1 / (n+1)(x - 2)^n| < 1

Taking the absolute value and rearranging, we have:

lim(n->∞) |x - 2| < 1

This implies that the series converges when |x - 2| < 1, which gives us the interval of convergence. The radius of convergence is the distance between the center of the series (x = 2) and the nearest point where the series diverges, which in this case is 1.

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Answer:

If two lines are parallel, then their slopes are equal.

The expression for the exact number of inches in 1 centimeter is 1/2.54.    Using a calculator to evaluate the expression gives 0.39370074. There may be a slight difference when converting due approximation of figures

Given the conversion facts:

1 inch = 2.54 centimeters and 1 centimeter = 0.39 inch

a. The expression for the exact number of inches in 1 centimeter will be:

1 centimeter  = 1/2.54           (Since 1 inch = 2.54 centimeters)

b. Using a calculator to evaluate the expression in (a) will give:

1 centimeter  = 1/2.54  = 0.39370074

The measurement conversion may be slightly different when converting between metric units and U.S. custumary units because of the approximation of figures when converting from one unit to the other

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Hey there!

In order to simplify the first expression, we need to use the Distributive Property:

4(7x-4)=28x-16 (the same as 4*7x-4*4)

Hence, the equivalent expressions are

\(\boxed{\boxed{\bold{28x-16\;and\;4*7x-4*4}}}\)

\(\rule{200}{2}\)

In order to simplify the second expression, we need to combine like terms:

11y+3y+9y

11y+12y ✓

23y ✓

Hence, the equivalent expressions are

\(\boxed{\boxed{\bold{11y+12y\;and\;23y}}}\)

Hope everything is clear.

Let me know if you have any questions; if so, please comment.

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Step-by-step explanation:

i hope you will get the answer

Step-by-step explanation:

Answer:

20,800

Step-by-step explanation:

10.00 per hour so 10x8=80

then 80x5=400

400x52=20,800

The points H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4) can either be a relation or a function

The points are given as:

H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4)

See attachment for the graph of the points

This is the set of the x coordinates of the points

Hence, the domain is: [-3,-1,0,3]

This is the set of the y coordinates of the points

Hence, the range is: [-4,4,7,8]

Recall that the points are:

H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4)

Rewrite the points using mapping

\(\left[\begin{array}{c}3&0&-1&-3\end{array}\right] \to \left[\begin{array}{c}7&4&8&-4\end{array}\right]\)

None of the x values point to multiple y values.

Hence, the ordered pair is a function

The function is given as:

\(f(x) = x^2\)

When x = -1, we have:

\(y = (-1)^2 =1\)

For other values, we have:

\(y = (0)^2 =0\)

\(y = 1^2 =1\)

\(y = 2^2 =4\)

Hence, the complete table is:

\(\left[\begin{array}{ccc}x&f(x) = x^2&f(x)\\-1&y= (-1)^2&1\\0&y= 0^2&0&1&y= 1^2&1&2&y= 2^2&4\end{array}\right]\)

Hence, the range of the function is \(y \ge 0\)

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The top right graph could show the arrow's height above the ground over time.

The initial and the final height are both at eye level, which is the reference height, that is, a height of zero.

This means that the beginning and at the end of the graph, it is touching the x-axis, hence either the top right or bottom left graphs are correct.

The trajectory of the arrow is in the format of a concave down parabola, hitting it's maximum height and then coming back down to eye leve.

Hence the top right graph could show the arrow's height above the ground over time.

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A sampling frequency of 10 pixels per millimeter would produce a spatial resolution of 5 line pairs per millimeter (B).

A sampling frequency of 10 pixels per millimeter would produce a spatial resolution of B. 5 line pairs per millimeter.
Here's a step-by-step explanation:

1. The sampling frequency is given as 10 pixels per millimeter.
2. According to the Nyquist-Shannon sampling theorem, the maximum spatial frequency (in line pairs per millimeter) that can be accurately represented is half of the sampling frequency.
3. Divide the sampling frequency (10 pixels per millimeter) by 2: 10/2 = 5 line pairs per millimeter.

So, the answer is B. 5 line pairs per millimeter.

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Check the picture below.

\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)

Answer:

a) 250

b) 125

Step-by-step explanation:

For a, the answer is 250 because if 2 regions are labelled 6, and there are 6 regions, and the spinner is spun 750 times, then we will multiply 2 by 750 and divide the answer by 6.

2 x 750 = 1500

1500/6 = 250

Now, for b, the answer is 125 because 3 is the only prime number there and only one region is labelled 3. So we multiply 1 by 750 (which is 750) and divide by 6.

750/6 = 125.

a = 250

b = 125

Answer:

c

Step-by-step explanation:

Answer:

the answer of this question will be 0.2

Answer:

0.2

Step-by-step explanation:

5/5= 1

1/5 =1÷5

     =0.2

Answer: Speed=210 hours/3.5 hours, 210 miles=3.5 hours*speed, and 3.5 hours=210 miles/speed. May you check my answer?

Step-by-step explanation:

Answer:

Speed=210 hours/3.5 hours, 210 miles=3.5 hours*speed, and 3.5 hours=210 miles/speed.

Step-by-step explanation:

Answer: 13. 30

Step-by-step explanation:

13. Area = 18x * 10y = 180xy

Length = 6th

With ?

180xy = 6xy x width

180 x/6xy

Width = 30

14. 3^(9-5)= 3^4 = 81 the truck weighs 81 times as the driver

3^5

Answer:

Step-by-step explanation:

xa+yb=c

xb+yc=a

xc+ya=b

add

x(a+b+c)+y(a+b+c)=a+b+c

x+y=1 ... (1)

xac+ybc=c²

xab+yac=a²

xbc+yab=b²

add

x(ab+bc+ca)+y(ab+bc+ca)=a²+b²+c²

\(x+y=\frac{a^2+b^2+c^2}{ab+bc+ca} \\\frac{a^2+b^2+c^2}{ab+bc+ca} =1\\a^2+b^2+c^2=ab+bc+ca\\a^2+b^2+c^2-ab-bc-ca=0\\a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)=(a+b+c)(0)=0\\a^3+b^3+c^3=3abc\\\frac{a^3}{abc} +\frac{b^3}{abc} +\frac{c^3}{abc} =3\\\frac{a^2}{bc} +\frac{b^2}{ca} +\frac{c^2}{ab} =3\)

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

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(a)If log₄​x = 5, the base is 4 and the logarithm is 5 , then x = 1024. (b) If log₆​x = 8 the base is 6 and the logarithm is 8  then x = 1679616.

(a) In the equation log₄​x = 5, the base is 4 and the logarithm is 5. To solve for x, we need to rewrite the equation in exponential form. In exponential form, 4 raised to the power of 5 is equal to x. Therefore, x = 4^5 = 1024.

(b) In the equation log₆​x = 8, the base is 6 and the logarithm is 8. Rewriting the equation in exponential form, 6 raised to the power of 8 is equal to x. Hence, x = 6^8 = 1679616.

In both cases, we used the property of logarithms that states: if logₐ​x = y, then a raised to the power of y equals x. By applying this property, we can convert the logarithmic equations into exponential form and find the values of x.

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Answer:

The answer is 7

Step-by-step explanation:

To find the x intercept of graph put

\(y = 0 \\ then \\ 2x - 14 = 0 \\ 2 \times = 14 \\ x = 7\)

Answer:

a round figure that has no corners or vertices.

Step-by-step explanation:

Answer:

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant. The distance between any point of the circle and the centre is called the radius. This article is about circles in Euclidean geometry, and, in particular, the Euclidean plane, except where otherwise noted.

Step-by-step explanation:

Center of a Circle

The center of a circle is the center point in a circle from which all the distances to the points on the circle are equal. This distance is called the radius of the circle.

Here, point P is the center of the circle.

center of the circle center point

Semicircle:

A semi-circle is half of a circle, formed by cutting a whole circle along a line segment passing through the center of the circle. This line segment is called the diameter of the circle.

There are 2 answers since this is a quadratic equation. They way you find it is check the \(x\) values for which lie on the graph of the equation given and also on the graph of: \(y = 4\)

In this case, it would be \(-0.8\) and \(3.8\)