Mamadou spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The plane maintains a constant altitude of 7325 feet. Mamadou initially measures an angle of elevation of 15 degrees to the plane at point A. At some later time, he measures an angle of elevation of 42 degrees to the plane at point BB. Find the distance the plane traveled from point AA to point BB. Round your answer to the nearest foot if necessary.

Answer:

q = p + r + 3s

Step-by-step explanation:

q - r - 3s = p solve for q

q - r - 3s = p

add r to both sides:

q - r - 3s + r = p + r

q - 3s = p + r

add 3s to both sides:

q - 3s + 3s = p + r + 3s

q = p + r + 3s

Answer:

Step-by-step explanation:

We will follow the same steps as in the previous question. First, we can start by leaving the variable [tex]y[/tex] alone.

In this step, let's be careful to give the variable [tex]x[/tex] odd numbers. The rational expression will then be an integer.

Finally, connect these three points. You can see the connected version in the photo. Good luck!

In the probability distribution  table x=76 and p(x) is 0.3.

Here X is a random variable. P(X) is its probabilities corresponding to the different values of X.

now according to the properties of probability theory we know that sum of probabilities is 1.

so here to find the value of the probability of X corresponding to the value 76 we should use the following steps:

Probability means possibility. It is a branch of mathematics that deals with the occurrence of  random events. The value is expressed from zero to one.  The calculus of probability is introduced in mathematics to predict the probability of events occurring. Probability basically means the degree to which something is likely to happen. It is a basic theory of probability that is also used in  probability distribution, where  the probability of the result of a random experiment is studied. To determine the probability of an event, we should first know the total number of possible outcomes.

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Answer:

The answer is 55.

Step-by-step explanation:

2/11 = 2/11 × 5/5 = 10/55

1/5 = 1/5 × 11/11 = 11/55

Answer:

55

Step-by-step explanation:

2/11 and 1/5

To find the common denominator, take 11 and multiply by 5

11*5 = 55

2/11 * 5/5 = 10/55

1/5 * 11/11 = 1/55

If the price of apples are proportional, the value of p is $6.75.

If the relationship between the price of apples and the number of apples bought are proportional, it means that as the number of apples bought increases, the price paid would increase.

The function that represents the cost of purchasing apples is:

Total cost = cost per apple x number of apples bought

$4.50 = 6c

c = $4.50 / 6

c = $0.75

The price of 9 apples is p

p = 9 x $0.95

p = $6.75

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A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. price of 9 apples is $6.75.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

We need to find the value of p.

For 6 Apples the price is $4.5

We need to find for 9 apples.

For 9 apples the price is p, which we have to find

Let us form a equation to find it.

6/4.50=9/p

Apply cross multiplication

6p=4.5(9)

6p=40.5

Divide both sides by 6

p=6.75

Hence price of 9 apples is $6.75.

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The p-value, used in null-hypothesis significance testing, represents the likelihood that the test findings will be at least as extreme as the result actually observed, assuming that the null hypothesis is true.

Therefore, the p-value for study b exists 0.080.

The P value is the likelihood, for a particular statistical model, that the statistical summary would be either equal to or more extreme than the actual observed results if the null hypothesis were to hold.

In a two tailed test the probability of occurrence exists the total area beneath the critical range of values on both the sides of the curve (negative side and positive side)

Therefore, the probability values for a two tailed test as compared to a one tailed test exists given by the under given relation -

[tex]$p-\text { value }=P\left(Z < -\frac{\alpha}{2}\right)+P\left(Z > \frac{\alpha}{2}\right)$$[/tex]

simplifying the above equation, we get

[tex]$P \frac{\alpha}{2}=0.040$[/tex]

Substituting the given value in above equation, we get -

Probability values for a two tailed test

= 0.040 + 0.040

= 0.080

Therefore, the p-value for study b exists 0.080.

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Answer:

-3+n ≥ -4n-3

Step-by-step explanation:

its good to use a number for n

if n = 5

-3+n ≥ -4n-3 or 3n-4≥4n + 1

for

-3+n ≥ -4n-3

-3+5 ≥ -4(5)-3

-2 ≥ -20-3

-2 ≥ -23

true

for

3n-4≥4n + 1

3(5)-4≥4(5) + 1

15-4≥20 + 1

11 ≥20 + 1

11 ≥21

not true

Answer:

If breadth means width then it will be 12.5

Answer: 6 5/12

Step-by-step explanation: You could do 3x4 = 12

so, 2x4 = 8, also 3x3 = 9 which would be 4 8/12 + 1 9/12, then just add.

Answer:

6 5/12

Step-by-step explanation:

We can first begin by separating the whole number and the fraction:
4 + 2/3 + 1 + 3/4

After reordering, it becomes:

4 + 1 + 2/3 + 3/4
5 + 2/3 + 3/4

Now, we must find the common denominator for the fractions so that we may add them:
The common denominator is 12.
5 + 2(4)/3(4) + 3(3)/4(3)

5 + 8/12 + 9/12

5 + 17/12

Simplifying the improper fraction gives us:

5 + 1 + 5/12

And the final answer is:

6 + 5/12

6 5/12

Hope this helped!

The total cost for 8 hours of work is $425.

The total cost for 10 hours of work is $525.

The total amount the plumber earns is made up of a fixed charge and a variable charge. A fixed charge is a charge that remains constant regardless of the number of hours the plumber works. The fixed charge is $25. The variable charge is the charge that increases per hours worked. The variable charge is $50 per hour.

Cost = fixed charge + variable charge

C = $25 + $50h

The total cost for 8 hours

$25 + $50(8)

$25 + $400

= $425.

The total cost for 10 hours

$25 + $50(10)

$25 + $500

$525.

Answer:

B. Undefined

Step-by-step explanation:

x = 4 is a vertical line, and vertical lines are Undefined because they go straight up.

Answer:

translate to eng

Step-by-step explanation:

40 quarts

Explanation

to figure out this we need to know the equivalence

therefore, to convert gal into quarts jus multyply by 4

so

so, the answer is

40 quarts

I hope this helps you

The values of g(x) at x = 1, 2 and 3 are 2, 8 and 14 respectively.

Which table contains the values of g(x)?

Since f(x) = 3x - 4 and g(x) = f(2x)

so, in f(x) = 3x - 4, we can replace x with 2x:  

g(x) = f(2x) = 3(2x) - 4 = 6x - 4

when x = 1:

g(x) = 6(1) - 4

      = 6 - 4 = 2

when x = 2:

g(x) = 6(2) - 4

      = 12 -  4 = 8

when x = 3:

g(x) = 6(3) - 4

      = 18 -  4 = 14

Therefore, when x = 1, 2 and 3, their corresponding values of g(x) are 2, 8 and 14.  So 4th table contains the values of g(x).

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Answer: D

Step-by-step explanation: I Chose D and got it right for my quiz.

According to Table B, There is a series that is being followed next, i.e.,

m = (m+1) * (m-1)

In the given data,

Input is 5, then given output is 6 * 4, similarly

Input is 10, then given output is 11 * 9 which implies that

Output is the products of one more than input and one less than input

⇒5 = (5+1) * (5-1)

⇒5 = 6 * 4

again with 15 = (15+1) * (15-1) ⇒ 16 * 14

with 300 = (300+1) * (300-1) ⇒ 301 * 299

At last, we can construct a series from these data,

m = (m+1) * (m-1)

Where m is input and (m+1) * (m-1) is output of data.

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Answer:

In both cases we get the same answer: the sum of the first 100 positive even numbers is 10,100.

Step-by-step explanation:

2 + 4 + 6 + 8 + ....+ 198 + 200 =

= (2 + 200) + (4 + 1998) + ... + (100 + 102) = 50*202 = 10,100

Answer:

C' (6, 9 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

C (- 6, 9 ) → C' (6, 9 )

The constant of proportionality between the amount of tomatoes he orders (in pounds), and their cost (in dollars) is: 4 dollars per pound

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

pounds , dollars

Calculating the proportion of the amount of tomatoes he orders and their cost we get:

Proportion dollars per pound = Dollars / pound

Proportion dollars per pound = $88/ 22 pounds = 4 $/pound

Proportion dollars per pound = $92/ 23 pounds = 4 $/pound

Proportion dollars per pound = $96/ 24 pounds = 4 $/pound

Proportion dollars per pound = $100/ 25pounds = 4 $/pound

As we could get the constant of proportionality is 4 $/pound

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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The probability of winning the game is 1/11.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood of a particular event happening.

Given:

If we win the first time on the 11th game played.

So, we can consider the total is 11.

So, the  probability of winning the game

= 1/11

Hence, the probability of winning the game is 1/11.

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Answer: I am guessing that you want to know what x and y equals

​

For example, if there are 5 blue balls and 7 red balls. the ration of the blue balls with the red balls is

it can also be written as a fraction :

It is important to put the one that was mentioned first in the numerator. in this case is blue ball, that's why 5 came first. If we are asked what is the ratio of the red balls with the blue balls , then we will have to indicate 7 first. The ratio will have to be

The sequence is important.

Answer:

C

Step-by-step explanation:

(f×g)x just means

f(x) × g(x)

Multiply the two given functions together. Use distributive property. To multiply terms with the same base, add the exponents.

see image.

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the formula for calculating probability

STEP 2: Find the probability of landing on a number greater than 5

STEP 3: Find the probability of landing on a number

We need to solve the following equation for x:

To isolate x, we divide both sides

Probability that an ace is pulled from the deck = A/T=4/52=1/13

52 cards are there in all.

Four aces are found in all of the card A's.

Thirteen spades in all.

Probability that an ace is pulled from the deck = A/T=4/52=1/13

likelihood that a spade will be the next card drawn =S/T=13/52=1/4

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​

Answer:

23

Step-by-step explanation:

f(3) = f(2) + f(1) = 5 + 4 = 9

f(4) = f(3) + f(2) = 9 + 5 = 14

f(5) = f(4) + f(3) = 14 + 9 = 23

Answer:

substituting n by 5 gives;

f(5)=(5-1)+(5-2)=7

Answer

Angle NOL = 70°

Explanation

Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. If the two lines are parallel to each other, then alternate angles are equal.

We can see that Angle MLO and Angle NOL are alternate angles.

And since we have been told that KM and NP are parallel lines,

Angle NOL = Angle MLO = 70°

Hope this Helps!!!

The rational equation is simplified to  x² - 17x = 0

An algebraic expression can simply be defined as an expression composed of factors, variables, terms, coefficients and constants.

These expression are also described as expressions consisting of arithmetic operations such as;

Given the expression;

1/2 - 7/2x = 5/x

find the lowest common multiple

x - 7 /2x = 5/ x

cross multiply

x(x - 7) = 5(2x)

multiply through

x² - 7x = 10x

collect like terms

x² = 10x + 7x

x² - 17x = 0

Hence, the equation is x² - 17x = 0

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Answer:

The first 3 answers

Step-by-step explanation:

∠2 and ∠3 are vertical angles which means they are congruent. That would then make ∠1 and ∠4 congruent.

∠7 and ∠8 = 180 means that is a straight line.

∠4 and ∠5 are alternate interior angles which make them congruent.

That would then mean ∠3 and ∠4 = 180 which is a straight line because ∠3 would then be a corresponding angle to ∠7.