To avoid a storm, a passenger-jet pilot descended 0.39 mile in 0.6 minute. What was the plane's average change of altitude per minute?

Answer:

√17 = x

Step-by-step explanation:

The square value of hypotenus is equal to sum of other two side lenght's square value

9^ = x^+8^2

81 = x^2 + 64 subtract 64 from both sides

17 = x^2

√17 = x

The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

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The area of the triangle FGH is equal to  13√10 unit²

Given that the vertices;

F(-5,-7), G(-2,-5), and H(-6,-2)

We have to find the area of the triangle as;

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG =  √26

Length of GH =  √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle = 1/2 × √10 × √26²

Area of triangle = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH = 13√10 unit²

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Answer:

\(thank \: you\)

Answer:

Take 2x- 3y= 6 as equation 1

And

x+ 3y= 3 as equation 2

Now add both equation

2x - 3y = 6

x + 3y = 3

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

3x 0 = 9

We can also write 3x 0= 9 as 3x = 9

Now we have to solve 3x =9

3x = 9

x = 9/3

x= 3

I hope this will help you

Answer:

She would need 42 cups of flour

Step-by-step explanation:

Answer:

First, let's find how many students there are in total:

11 girls + 9 boys

= 20 students.

Out of those 20 students, we are trying to find the probability if Natalia will be selected first.

There is only one Natalia.

So, out of those students, the probability of selecting Natalia is a:

1/20 probability

(if wanted to convert into a percentage):

1/20 x 100

= 5% probability

Since we already know there are 28 given pens in total and 4 of them are red pens, there is a:

4/28 chance of selecting a red pen which can be simplified to a 1/7 probability.

(if wanted to convert into a percentage):

1/7 x 100

= 14% probability

Since we already know there are 24 jelly beans in total and 9 of them are cherry beans, there is a:

9/24 chance/probability of selecting a cherry jelly bean.

(if wanted to convert into a percentage):

9/24 x 100

= 37.5% probability

Let's first figure out how many marbles there are in total.

2 + 3 + 7

= 12 marbles in total.

Now let's exclude the marbles that are blue and yellow, leaving us with 7 orange marbles.

So the probability of selecting a marble that isn't blue/yellow is a:

7/12 probability

(if wanted to convert into a percentage)

7/12 x 100

= 58% probability

The number makes the expression equivalent is m = 0.2584.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 12(- 1.4m + 0.4) = m + 0.2.

- 16.8m + 4.8 = m + 0.2.

- 16.8m - m = 0.2 - 4.8

- 17.8m = - 4.6.

m = (-4.6/-17.8).

m = 0.2584.

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Answer:

C. No; there is no relationship between the x value and its corresponding y value.

Step-by-step explanation:

I calculated it logically

Answer:

The correct answer c. No; there is no relationship between the x value and its corresponding y value

The probability of getting a number beginning and ending with even digits is 8/120= 1/15

There are six digits to choose from, but you're only taking three at a time, so the number of such numbers is

6 x 5 x 4 = 120

The first and last digits can only be even if the number takes the one of the forms "2 _ 8" or "8 _ 2".

The middle number can be any of the remaining four, so there is a total of eight such numbers.

This means the probability of getting a number beginning and ending with even digits is 8/120= 1/15

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Answer:

To calculate Fred's power, we can use the formula:

Power = Work / Time

Given that Fred did 600 J of work in 60 seconds, we can substitute the values into the formula:

Power = 600 J / 60 s

Power = 10 W

Therefore, the correct answer is:

D. 10 W

Step-by-step explanation:

Answer:

Power = Work/Time

Power = 600 J/60 s = 10 W

Therefore, the answer is D. 10 W.

Step-by-step explanation:

The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.

solve the equation logₓ(64) + 5 = 2, we can follow these steps:

Step 1: Move the constant term to the other side of the equation:

logₓ(64) = 2 - 5

logₓ(64) = -3

Step 2: Rewrite the equation in exponential form:

x^(-3) = 64

Step 3: Rewrite 64 as a power of x:

x^(-3) = x^6

Step 4: Set the exponents equal to each other:

-3 = 6

The equation -3 = 6 is not true, which means there is no real solution to the given equation.

Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.

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Answer:

A) (x, y, z) = ( 7/4 , \(\frac{7\sqrt{3} }{4} , \frac{7\sqrt{3} }{2}\)  )

B)  (x, y, z) = ( 6 , \(\frac{\pi }{2}, \frac{3\pi }{4}\) )

Step-by-step explanation:

A) ( 7, π/3, π/6)

(x, y, z) = ( 7/4 , \(\frac{7\sqrt{3} }{4} , \frac{7\sqrt{3} }{2}\)  )

B) (6, π/2, 3π/4)

(x, y, z) = ( 6 , \(\frac{\pi }{2}, \frac{3\pi }{4}\) )

attached below is the plot of the points and the detailed solution

So everything you have now is right so far:

\(\cos(24) = \frac{z}{118}\)

Multiply 118 to the left side to isolate z

\(118\cdot\cos(24) = z\)

z = 50.05

Hope this helps

Answer:

A.

Step-by-step explanation:

Since \(5\) can rewritten as \(\sqrt{25}\) and \(6\) rewritten as \(\sqrt{36},\) we can see which options go between \(\sqrt{25}\) and \(\sqrt{36}.\) The only square root that goes between is \(\sqrt{29}.\) Therefore the answer is \(\boxed{A.}\) (or \(\sqrt{29}.\))

Answer:

Multiply By Decimal

Step-by-step explanation:

If you multiply a number by a decimal you get the same outcome that you would if you would have divided it

Answer:

637.5 I think it's right

Step-by-step explanation:

2,500x.04=100x3=300

2,500x.045=112.5x3=337.5

300+337.5=637.5 interest

2,500x2+637.5=5,637.5

Answer:

$5,612.16

Step-by-step explanation:

Part 1) Account I earns 4% annual simple interest.

we know that

The simple interest formula is equal to A = P (1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have:

t = 3 years

P = $2,500

r = 4% = 4/100 = 0.04

substitute in the formula above

A = 2,500 (1 + 0.04 * 3)

A = 2,500 (1.12)

A = $2,800

Part 2) Account II earns 4% interest compounded annually.

we know that    

The compound interest formula is equal to: A = P (1 + r/n)nt

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t = 3 years

P = $2,500

r = 4% = 4/100 = 0.04

n = 1

substitute in the formula above  

A = 2,500 * (1 + 0.04/1)3

A = 2,500 * (1.04)3

A = $2,812.16

Part 3) What is the sum of the balances of Account I and Account II at the end of 3 years?

Sum the two final investment:

$2,800 + $2,812.16 = $5,612.16

Answer:

8, the answer is 8

Answer:the anwer is 8

Step-by-step explanation:

its 8

Answer:

The equation is already in linear form.

If you meant to rewrite the equation it's

Slope intercept forum:

y = 2x + 10

Standard Form:

2x - y = -10

Answer:

0.25 k miles

Step-by-step explanation:

15 minutes =1/4 of an hour

Distance= speed*time= k (1/4)= (1/4) k= 0.25 k miles

The distance is the multiplication of speed and time thus the speed covered in 15 minutes with a speed of k miles per hour will be k/4.

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

Average velocity = total distance / total time taken

Units of velocity are given by ⇒ meter/second

As per the given,

Number of miles covered = m

Speed = k miles per hour.

1 hour = 60 mint

15 mint = 1/4 hour.

Since, speed = distance/time

Distance = speed × time

Distance = k × 1/4 = k/4

Hence "The distance is the multiplication of speed and time thus the speed covered in 15 minutes with a speed of k miles per hour will be k/4".

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Answer:

7 units

Step-by-step explanation:

Given

\(C(x) = 2x + 54 + \frac{98}{x}\)

Required

The units that minimize the average cost

\(C(x) = 2x + 54 + \frac{98}{x}\)

Differentiate

\(C' = 2 + 0 - 98x^{-2}\)

\(C' = 2 - 98x^{-2}\)

Equate to 0 to solve for x

\(0 = 2 - 98x^{-2}\)

Collect like terms

\(98x^{-2} = 2\)

Divide by 98

\(x^{-2} = \frac{1}{49}\)

Rewrite as:

\(\frac{1}{x^2} = \frac{1}{49}\)

Take square roots of both sides

\(\frac{1}{x} = \±\frac{1}{7}\)

Take multiplicative inverse of both sides

\(x = \±7\)

Only positive value will produce critical value. Hence, 7 units will produce the minimum average cost

The slope of the line represented by the graph of a linear function is  -5/2

The general equation of a straight line is -

y = mx + c

where -

m → slope of line

c → y - intercept of line

here, we have,

Given in a question a linear function that decreases from left to right passing through the coordinates A(0,3) and B(2, -2).

A linear function is a function of general equation → y = ax + b which is same as y = mx + c.

So, it represents a straight line.

The line passes through the points A (0,3) and  B (2, -2).

The Slope of the given line can be calculated using the following formula -

m = (y[2] - y[1]) / (x[2] - x[1])

m = (- 2 - 3) / (2 - 0)

m = -5/2

Therefore, the slope of the line represented by the graph of a linear function is  -5/2.

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Square root of 8 plus square root of 1 equal 3.82842712

Algebraic integers

The square roots of an integer are algebraic integers —more specifically quadratic integers. The square root of a positive integer is the product of the roots of its prime factors, because the square root of a product is the product of the square roots of the factors.

⇒ 3.8 rounded.

⇒ = 3.82842712

Hence, Square root of 8 plus square root of 1 equal 3.82842712

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Answer: Pizza = $2.95, Breadstick = $0.50, Juice = $1.25

Step-by-step explanation:

Let P represent the cost of a slice of pizza

and B represent the cost of breadstick

and J represent the cost of a juice drink.

EQ1: 3P + 4B + 2J = 13.35

EQ2: 5P + 2B + 3J = 19.50

EQ3: 4B + J = P + 0.30     -->     P - 4B - J = -0.30

Let's eliminate B from EQ1 and EQ2 to form EQ4:

3P + 4B + 2J = 13.35   →  1(3P + 4B + 2J = 13.35)   →   3P + 4B + 2J =  13.35

5P + 2B + 3J = 19.50  → -2(5P + 2B + 3J = 19.50)  →  -10P -  4B -  6J = -39.00

                                                                        EQ4:     -7P          -4J    = -25.65

And eliminate B from EQ1 and EQ3 to form EQ5:

               3P + 4B + 2J = 13.35  

                 P -  4B  - J = -0.30

EQ5:       4P           + J  = 13.05    

Now, eliminate J from EQ4 and EQ5 to solve for P:

-7P  - 4J = -25.65  →    1(-7P  - 4J = -25.65)   →   -7P  - 4J = -25.65

 4P  +  J = 13.05   →    4(4P  +   J =  13.05)    →    16P  +4J =  52.20

                                                                             9P          = 26.55

                                                                           ÷9             ÷9    

                                                                                    P = 2.95

Plug in P = 2.95 into EQ4 or EQ5 to solve for J:

EQ5: 4P + J = 13.05

        4(2.95) + J = 13.05

        11.80 + J = 13.05

                   J = 1.25

Plug in P = 2.95 and J = 1.25 into either EQ1 or EQ2 or EQ3 to solve for B:

EQ3: 4B + J = P + 0.30

        4B + 1.25 = 2.95 + 0.30

        4B + 1.25 = 3.25

                   4B = 2.00

                     B = 0.50

Check (since we used EQ3 to find B, use either EQ1 or EQ2):

EQ2: 5P + 2B + 3J = 19.50

       5(2.95) + 2(0.50) + 3(1.25) = 19.50

       14.75 + 1.00 + 3.75 = 19.50

                            19.50 = 19.50     \(\checkmark\)

Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

The number of significant digits that the product have is 3.

Significant figures are the number of digits that add to the correctness of a value, frequently a measurement. The first non-zero digit is where we start counting significant figures.

Rules for determining Significant Numbers,

Given Numbers are  \(5.2187 * 10^{-3}, 2.05 *10^{7} and 3.40 * 10^{3}\)

Now, Multiplying the given numbers,

\(5.2187 * 10^{-3}* 2.05 *10^{7} * 3.40 * 10^{3} =3.64 *10^{8}\)

So, In 3.64 *10^8, The number of significant digits is 3.

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Answer:

answer is 3

Step-by-step explanation: