two rangers at stations located 10 miles apart both see a camper distress signal in the distance the signal is at a compass bearing of 70 degrees from the north station and 40 degrees from the south station find the distance to the angle signal from south station to the nearest hundred

Answer:

the answer is in picture

Step-by-step explanation:

hope it will help you

For f(x) =4x+1 and g(x) = x²-5, the answer of (f/g) (x) is D) 4x+1/x²-5, x≠±√5

From the question, we have:

f(x) =4x+1

g(x) = x²-5

If what you are looking for is( f/g) (x), then only place the value of f(x) as the quantifier and g(x) as the denominator. Then the function that satisfies is D.

But here there is a condition that (f/g) (x) applies if the value of x is not √5 or -√5. Because if it becomes an x value then the result will be 0.

We can prove this:

With this equation (f/g) (x)=4x+1/x²-5

let's try to use value of x is √5, it will be

(f/g) (x)=4x+1/x²-5

(f/g) (√5) = 4.√5+1/(√5)²-5

=(4√5+1)/5-5

=(4√5+1) /0

=0

Then, try to use value of x is -√5, it will be

(f/g) (x)=4x+1/x²-5

(f/g) (√5) = 4.(-√5)+1/(-√5)²-5

=(-4√5+1)/5-5

=(-4√5+1) /0

=0

From the results above it proves that option D cannot be used if x= ±√5.

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a) The probability that a tire will be too narrow is 0.252492. b)The probability that a tire will be too wide is 0.091211. c) , the probability that a tire will be defective is 0.252492 + 0.091211 = 0.343703.

a. To calculate the probability that a tire will be too narrow, we need to find the area under the normal distribution curve that falls below the lower specification limit.

Using the Z-score formula, we calculate the Z-score for the lower specification limit as follows:

Z = (Lower specification limit - Mean) / Standard deviation

Z = (22.8 - 23) / 0.15

Z = -0.666667

Next, we find the corresponding area from the standard normal distribution table or using a calculator. The area to the left of Z = -0.666667 is approximately 0.252492.

b. To calculate the probability that a tire will be too wide, we need to find the area under the normal distribution curve that falls above the upper specification limit.

Using the Z-score formula, we calculate the Z-score for the upper specification limit as follows:

Z = (Upper specification limit - Mean) / Standard deviation

Z = (23.2 - 23) / 0.15

Z = 1.333333

Next, we find the corresponding area from the standard normal distribution table or using a calculator. The area to the right of Z = 1.333333 is approximately 0.091211.

c. The probability that a tire will be defective is the sum of the probabilities of it being too narrow and too wide, since being outside the specification limits indicates a defect.

Therefore, the probability that a tire will be defective is approximately 0.252492 + 0.091211 = 0.343703.

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Step-by-step explanation:

Adding A Negative Number

Now let's see what adding and subtracting negative numbers looks like:

add subtract +- goes down

We can add weights (we are adding negative values)

the basket gets pulled downwards (negative)

Example: 6 + (−3) = 3

is really saying

"Positive 6 plus Negative 3 equals Positive 3"

We could write it as (+6) + (−3) = (+3)

The congruence theorem that justifies Step 5 is given as follows:

SAS.

The similar triangles in this problem are given as follows:

RQP and SQP.

We are given that:

Due to the definition of bisector, we have that:

<QRP = <SQP

(as the bisection divides the angle into two segments of equal part.

Then in Step 4, by the reflective property of congruence, the side length QF is congruent to itself.

Then we have that each triangle two sides, along with the angle between them, that are congruence, hence the Side-Angle-Side (SAS) congruence theorem was used, meaning that the first option is correct.

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Answer:

A = -9y(7y-3)

Step-by-step explanation:

hope this helps!!!

Answer:

2.9661582

Step-by-step explanation:

2.9661582e+16 this is the answer

Answer:

we can describe the parts of the expression that the arrows

point to 3x-2 such as:  

                                                  ↑(x variable)

                                                 \(3x-2\) ← (2 constant)

                                                 ↓

                                                  (3 coefficient)

Step-by-step explanation:

Given the expression

\(3x-2\)

point to \(3x-2\).

we can describe the parts of the expression that the arrows

point to 3x-2 such as:  

                                                  ↑(x variable)

                                                 \(3x-2\) ← (2 constant)

                                                 ↓

                                                  (3 coefficient)

Therefore, it is clear that:

(a) The balance after 5 years is approximately $18,088.53, which is enough to buy an $18,000 motorcycle.

(b) If the interest rate were raised to 8%, the balance after 5 years would be approximately $19,386.43, which is more than enough to buy the motorcycle.

To find the balance A in the account at the end of 5 years, we can use the formula for the future value of a series of monthly deposits in a compounded interest account. The monthly deposit is $250, and the interest rate is 6% compounded monthly. We have a total of 60 deposits (5 years x 12 months).

Using the formula A = P [(1 + r/n)^(nt) - 1] / (r/n), where P is the monthly 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, we can calculate the balance after 5 years.

Plugging in the values, we have A = 250 [(1 + 0.06/12)^60 - 1] / (0.06/12). Evaluating this expression, we find that the balance after 5 years is approximately $18,088.53. Since this amount is greater than $18,000, there is enough money in the account to buy an $18,000 motorcycle.

If the interest rate were raised to 8%, we can repeat the calculation using the same formula. Plugging in the new interest rate of 8%, we find that the balance after 5 years would be approximately $19,386.43. This amount is more than enough to buy the motorcycle.

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The equation in rectangular coordinates is:

x = 4y/8 + √(64 - y2)/8

or

x = y/2 + √(64 - y2)/8

The equation r = 8 sin(θ) is in polar coordinates. We can convert it to rectangular coordinates using the relationships:

x = r cos(θ)

y = r sin(θ)

Substituting r = 8 sin(θ), we get:

x = 8 sin(θ) cos(θ)

y = 8 sin2(θ)

Simplifying using the identity sin(2θ) = 2 sin(θ) cos(θ), we get:

x = 4 sin(2θ)

y = 32 sin2(θ)

So the equation in rectangular coordinates is:

x = 4y/8 + √(64 - y2)/8

or

x = y/2 + √(64 - y2)/8

where 0 ≤ θ ≤ π and -8 ≤ y ≤ 8.

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Answer:

Nick earns a commission of 12/100 * $668 = $80.16 for the software he sold this week.

Step-by-step explanation:

\(7\frac{1}{2}\implies 7.5\hspace{5em}1\frac{1}{4}\implies 1.25 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{Monday through Friday} }{\stackrel{ days }{(5)}\stackrel{ rate }{(10.80)}\stackrel{ hours }{(7.5)}}~~ + ~~\stackrel{ Saturday }{\stackrel{ days }{(1)}\stackrel{ rate }{(10.80)(1.25)}\stackrel{ hours }{(7.5)}} \\\\\\ 405~~ + ~~101.25\implies \text{\LARGE 506.25}\)

The relative speed between the jogger and the walker during the 500 second interval is 2.24 m/s.

To solve this problem, we need to first find the distances traveled by each person.

The jogger travels 10 blocks x 100 meters/block = 1000 meters south.

The walker travels 5 blocks x 100 meters/block = 500 meters west.

Using the Pythagorean theorem, we can find the distance between them: √((1000m)² + (500m)²) = 1118.03 meters.

To find their relative speed, we divide this distance by the time interval: 1118.03 meters / 500 seconds = 2.24 m/s.

Therefore, their speed relative to each other during this interval is 2.24 m/s.

The jogger traveled 1000 meters south, while the walker traveled 500 meters west. Using the Pythagorean theorem, the distance between them is 1118.03 meters. Dividing this distance by the time interval of 500 seconds, we get their relative speed, which is 2.24 m/s.

: The relative speed between the jogger and the walker during the 500 second interval is 2.24 m/s.

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It will take approximately 15.5 years for the amount to double, rounded to the nearest tenth.

To find out how long it will take for the amount to double, we can use the continuous compound interest formula:

A = P * e^(rt)

Where:

A = Final amount (double the initial amount)

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case, the initial investment (P) is $1000, and we want to find the time it takes for the amount to double. The final amount (A) is $2000 (double the initial amount). The annual interest rate (r) is 4.5% or 0.045 (in decimal form).

Plugging these values into the formula, we have:

2000 = 1000 * e^(0.045t)

Dividing both sides by 1000:

2 = e^(0.045t)

Taking the natural logarithm (ln) of both sides:

ln(2) = 0.045t

Finally, solving for t:

t = ln(2) / 0.045 ≈ 15.5

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Answer:

slope is -2/5

y-intercept is 4

Answer:

See Below

Step-by-step explanation:

Ok, so slope intercept form is:

y = mx +b

Where m = slope and b = your y-intercept

lets line them up

   y = mx + b

y =-2/5 x + 4

Notice that the m and b are lined up each corresponding #.

Therefore,

m = -2/5

B = 4

Slope = -2/5

y - intercept = 4

Now, it is not a function, same domain has different ranges

The level can be attained  by light reflections.

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The algebraic expression of the part A is 6+7x. And the verbal expression for 3*(n+8) is "the triple of the sum between the numbers n and 8".

A linear expression can be represented by a line. The standard form for this equation is: y=ax+b , for example, y=2x+7.

First, you should choose a variable for unknow number. Here, the variable will be x. Then, 7 times a number can be represented for 7x.

The word more will be represented for the add symbol (+). Thus,

the algebraic expression is 6+7x.

The expression 3*(n+8) can be represented for the sentence:

The triple of the sum between the numbers n and 8.

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Answer:

Picture is not clear please post a clear picture. Note brainly is meant to be one question per post for further reference

The change in the price level from the first to the second month is 106.4

Price index: Price index, measure of relative price changes, consisting of a series of numbers arranged so that a comparison between the values for any two periods or places will show the average change in prices between periods or the average difference in prices between places.

A college student purchases 4 movie tickets for $7 each, 2 CDs for $13 each, and 20 gallons of gasoline at $2 a gallon during the base period.

Gas will cost $2.25 per gallon in the upcoming month, CDs will cost $12.50 each, and cinema tickets will cost $7.50

The price index

=(price in current year/price in last year) x 100

=100/94 x 100

=106.38 or 106.4

The change in the price level from the first to the second month is 106.4

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Answer:

x=1

Step-by-step explanation:

\(\frac{3}{2}+\frac{1}{2}x=2x\\\\2[\frac{3}{2}+\frac{1}{2}x]=2(2x)\\\\3+1x=4x\\\\3=4x-x\\\\3=3x\\\\x=1\)

There is no number in which the value represented by the digit in the hundreds place is 10 times the value represented by the digit in the tens place.

Let's represent the number in question as ABC, where A represents the digit in the hundreds place, B represents the digit in the tens place, and C represents the digit in the ones place.

Based on the given information, we can form the equation:

A = 10B

Now, let's examine the possible values for A and B. Since A represents the digit in the hundreds place, its maximum value is 9, and the minimum value is 1. B represents the digit in the tens place, so its maximum value is 9, and the minimum value is 0.

Let's consider each case:

Case 1: A = 9

In this case, B must be 9 as well, as it is the only digit that satisfies the equation A = 10B. However, this exceeds the maximum value for B, which is 9. Therefore, this case is not valid.

Case 2: A = 8

If A = 8, then B = 8/10 = 0.8, which is not an integer. Thus, this case is also not valid.

Case 3: A = 7

If A = 7, then B = 7/10 = 0.7, which is not an integer. Hence, this case is not valid.

Case 4: A = 6

If A = 6, then B = 6/10 = 0.6, which is not an integer. Therefore, this case is not valid.

Case 5: A = 5

If A = 5, then B = 5/10 = 0.5, which is not an integer. Thus, this case is not valid.

Case 6: A = 4

If A = 4, then B = 4/10 = 0.4, which is not an integer. Therefore, this case is not valid.

Case 7: A = 3

If A = 3, then B = 3/10 = 0.3, which is not an integer. Hence, this case is not valid.

Case 8: A = 2

If A = 2, then B = 2/10 = 0.2, which is not an integer. Thus, this case is not valid.

Case 9: A = 1

If A = 1, then B = 1/10 = 0.1, which is not an integer. Therefore, this case is not valid.

After examining all the possible cases, we can conclude that there is no number in which the value represented by the digit in the hundreds place is 10 times the value represented by the digit in the tens place.

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Answer:

A

Step-by-step explanation:

Since they have two congruent angles and then share a side, they are congruent by AAS. Hope this helps!

By the angle, side, and angle theorem they are congruent. Then the correct option is A.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

The figure shows models of a roof truss. Based on the markings, there is enough information to prove that ΔACD ≅ ΔBCD

The angle D is 90 degrees and CD is the common side in both the triangle.

Thus, by the angle, side, and angle theorem they are congruent.

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The sampling strategy she use was a quota.

Quotas are meant to establish boundaries on the number of specific goods that are allowed to be lawfully imported into the country throughout a distinct period of time. In that, quotas are similar embargoes, except quotas don´t have explicit political purposes as embargoes do.

A Fixed quota would be a maximum amount not to be surpassed, while a tariff rate surcharge allows it, but with a higher duty.

The graph of the polynomial f(x) is added as an attachment

From the question, the equation of the polynomial is given as

f(x) = x^3 + 3x^2 – 4x – 12

To start with, we need to represent the function of the polynomial properly

So, we have the following representation

f(x) = x³ + 3x² – 4x – 12

Solving further, we need to factorize the function

This gives

f(x) = x²(x + 3) - 4(x + 3)

Factor out x + 3

f(x) = (x² - 4)(x + 3)

Express as difference of two squares

f(x) = (x - 2)(x + 2)(x + 3)

When the above equation is solved, we have

x = 2, x = -2 or  = -3

This means that the intercepts of the function are -3, -2 and 2

Next, we plot the polynomial function using the above intercepts and the end behavior

See attachment for the graph of the function

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Answer:

[-10, 3]

Step-by-step explanation:

Hello!

To find the range of a graph you look at the lowest point and the highest point

The highest point is 3

The lowest point is -10

The range is [-10, 3]

Hope this helps!

Answer:

-10, 3

Step-by-step explanation:

high: 3

low: -10

the order of the 2 coordinates goes left or right, then up or down

( plz mark me as brainliest, that would be most appreciated! )

The following are five different examples of parametric models: exponential distributions, poisson distributions, normal distributions, the Weibull distribution, and linear regressions.

Types of Parametric test–

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Answer:

35.225 I believe

Step-by-step explanation:

You can always check on Slader.