suppos there is a 1.2f drop in temperature for every thousand feet that an airplane climbs into the sky. if the temperature on the ground is 53.8f what will be the temperature when the plane reaches an altitude of 8,000ft?

9514 1404 393

Answer:

Step-by-step explanation:

Common factors of 12 and 56 will be factors of the greatest common factor (GCF) of those numbers. That can be found several ways. One is to list the prime factors of each number, then choose the ones that are common.

  12 = 2·2·3

  56 = 2·2·2·7

The common factors are 2·2. Of course 1 is always a factor. So, "all common factors" are 1, 2, 4.

__

The least common multiple (LCM) can be figured using the same lists of factors. It must include all of the factors (only as many times as necessary), so will be ...

  2·2·2·3·7 = 168

It can also be figured as the product of the two numbers, divided by their GCF:

  12·56/4 = 168

Any "common multiple" will be a multiple of this LCM. Some common multiples of 12 and 56 are ...

  1·168 = 168; 2·168 = 336; 3·168 = 504

The approximate lateral area of the cone is equal to 200.96 cm².

Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:

Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)

Where

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circular base = πr²

16π = πr²

Radius, r = √16

Radius, r = 4 cm.

Substituting the given parameters into the lateral area of a cone formula, we have the following;

Lateral surface area of a cone, LSA = πrl = πr4(r)

Lateral surface area of a cone, LSA = 3.14 × 4 × 16

Lateral surface area of a cone, LSA = 200.96 cm².

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Answer:

201 beause you are rounding to the nearest whole number

Step-by-step explanation:

The ordered pair (3, - 2) is not a solution to the equation 2x - y = 4

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x,y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given, an equation 2x - y = 4 now if  (3, - 2) is an ordered pair then putting the numerical value of x must satisfy the y value.

when x = 3,

2(3) - y = 4.

6 - y = 4.

- y = 4 - 6.

- y = - 2.

y = 2.

So,  (3, - 2) is not a solution to an equation 2x - y = 4.

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The geometric transformation which will not  produce the image ∆A'B'C' is an option (B) reflection across the x-axis followed by a reflection across the y-axis

In this question, we have been given a triangle ABC and the transformed triangle A'B'C'

Also, in the graph the first triangle is at A(-3, 0), B(-2, 3), C(- 1, 1) and the Second triangle is at A prime (0, -3), B prime (3, -2), C prime (1, -1).

Consider the graph as shown below.

From the coordinates of vertex of triangle ABC and triangle A'B'C' we can observe that,

A(-3, 0) -> A'(0, -3)

B(-2, 3) -> B'(3, -2)

C(-1, 1) -> C'(1, -1)

For each vertex,

x coordinate of triangle ABC = y coordinate of triangle A'B'C'

and y coordinate of triangle ABC = x coordinate of triangle A'B'C'

This means, the geometric transformation of triangle ABC is reflection across the line y = x

But the reflection across the x-axis followed by a reflection across the y-axis.

Therefore, the geometric transformation which will not  produce the image ∆A'B'C' is an option (B) reflection across the x-axis followed by a reflection across the y-axis

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Answer:

0.834 hours

Given that,

A Galapagos tortoise can walk 1/5 mile in an hour.

We need to find time would it take the tortoise to walk 1/6 mile.

1/5 mile = 1 hour

1 mile = 1/1/5 = 5 hours

For 1/6 mile = 1/6 *5 = 0.834 hours

It will take 0.834 hours to walk 1/6 mile.

Answer:

Step-by-step explanation:

If x = 0, 5x = 7x is true.

If x = 1, 5x ≠ 7x

5x = 7x is sometimes true.

The function g(x) = x³ - x² - 4x + 4 has zeros at 1, 2 and -2. The y intercept is at 4.

An equation is an expression that shows the relationship between two or more numbers and variables.

The zeros of the function is at:

g(x) = 0, hence:

x³ - x² - 4x + 4 = 0

(x - 1)(x² - 4) = 0

(x - 1)(x + 2)(x - 2) = 0

x = 1, x = -2 and x = 2

The y intercept is at x = 0, hence:

g(0) = 0³ - 0² - 4(0) + 4 = 4

The function g(x) = x³ - x² - 4x + 4 has zeros at 1, 2 and -2. The y intercept is at 4.

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A sample :  a statistics student interviews each member from each of the five randomly chosen math classes at a university.

A sample is a subset of a larger population that is selected for analysis or study. In statistics, sampling is a technique used to gather data from a portion of a population in order to make inferences about the population as a whole.

Sampling helps to reduce the amount of data that needs to be collected and analyzed, making the research process more manageable and cost-effective.

In the scenario you described, a statistics student is conducting a study where they aim to gather data from a group of individuals at a university. To do this, they have selected five math classes at random and are interviewing each member of each class.

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Answer:

5.78571428571

Step-by-step explanation:

9/7 = 1.28571428571

9/2 = 4.5

And if you add it you get 5.78571428571

hopes this helps..

Answer:x=0

Step-by-step explanation:

Answer:

x = 0  

Step-by-step explanation:

Solve for x:

3 (8 x + 8) - 10 x = -6 (x - 4)

3 (8 x + 8) = 24 x + 24:

24 x + 24 - 10 x = -6 (x - 4)

Grouping like terms, 24 x - 10 x + 24 = (-10 x + 24 x) + 24:

(-10 x + 24 x) + 24 = -6 (x - 4)

24 x - 10 x = 14 x:

14 x + 24 = -6 (x - 4)

Expand out terms of the right hand side:

14 x + 24 = 24 - 6 x

Add 6 x to both sides:

14 x + 6 x + 24 = (6 x - 6 x) + 24

6 x - 6 x = 0:

14 x + 6 x + 24 = 24

14 x + 6 x = 20 x:

20 x + 24 = 24

Subtract 24 from both sides:

20 x + (24 - 24) = 24 - 24

24 - 24 = 0:

20 x = 24 - 24

24 - 24 = 0:

20 x = 0

Divide both sides of 20 x = 0 by 20:

(20 x)/20 = 0/20

20/20 = 1:

x = 0/20

0/20 = 0:

Answer:  x = 0

Answer:

  (a)  3x +y = 2

Step-by-step explanation:

You want the equation y = -3x +2 written in standard form.

The standard form of a linear equation is ...

  ax +by = c

where a, b, c are mutually prime integers with a ≥ 0. If a=0, then b > 0.

To put the given equation into that form, we can add 3x to both sides:

  3x +y = 3x -3x +2

  3x +y = 2

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Answer: 21.4 answer 21.406 is correct you just need to round to the nearest tenth!

Step-by-step explanation:

The value of x is approximately 10.6. So, the correct answer is B. 10.6

To determine the value of x in the given triangle, we can apply the trigonometric concept of sine. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In the given triangle, the angle at the left vertex is 45 degrees, and the length of the base is given as 15. The right sideline, which is represented by x, is the side opposite the 45-degree angle.

Using the sine function, we have:

sin(45 degrees) = x / 15

To solve for x, we can rearrange the equation:

\(x = 15 \times sin(45 degrees)\)

Using the exact value of sin(45 degrees) (which is √2 / 2), we have:

\(x = 15 \times (√2 / 2)\\x = (15 \times √2) / 2\)

x = 7.5√2

Therefore, the correct answer is B. 10.6.

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Angle that the tent pole makes with the sides of the tent is 39.6°.

Trigonometric functions are defined as the real functions which are simply the functions of an angle of a triangle. They are basically the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.

Given that,

A conical circus tent has a 20 ft central pole that supports it. The slant height of the tent is 26 ft long.

The central pole forms a right triangle with the floor of the tent.

We need the angle tent pole makes with the sides of the tent.

We have the hypotenuse as the slant height and the central pole is the adjacent side of the angle.

The cos of the missing angle is the ratio of the length of the central pole to the length of the side of the tent.

cos x = 20 / 26 = 0.7692 ≈ 0.77

Applying arccosine,

x = cos⁻¹ (1.3) = 39.6°

Hence the required angle is 39.6°.

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Answer:

pppppppppppppppppppppppppppppppppppppppppp

Answer:

The probability is 1/9

Step-by-step explanation:

1/3 x 1/3 = 1/9

Reason:

The probability of selecting "7" is 1/3 because there's one card labeled "7" out of three cards total.

The same applies to selecting a "5" as well. When the first card is put back, effectively nothing has changed.

The probability of getting a "7", then getting a "5" is (1/3)*(1/3) = 1/9

Step-by-step explanation:

-3r(-14r + 2r - 20)

-3r(-12r - 20)

36r² + 60r

answer is A or 36r² + 60r

Answer:

x+y = 3

Step-by-step explanation:

We want to find the value of b when a = 9 using the equation:

b = a + 6

In order to do that we just replace a by 9 in the equation

b = a + 6

b = 9 + 6

b = 15

Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

The slope of the given graph is 3/5 which we obtained by taking the two points (0,2) and (5,5) and plugging these values in slope formula.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

From the given graph, let us take any two points from which the line passess.

(0, 2) and (5, 5).

Slope = 5-2/5-0

=3/5

Hence, the slope of the given graph is 3/5.

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Find the slope of the given graph?(Graph is in attachment).

To solve this problem, we need to convert all the measurements to a consistent unit. Let's convert the height to inches since the height of the bounce is given in inches.

64 ft = 64 * 12 inches = 768 inches

Now, we can set up an equation to represent the height of each bounce. Let's use "b" to represent the number of bounces, and "h" to represent the height of each bounce in inches.

The height of each bounce is three-fourths (3/4) the height of the previous bounce. So, we can write the equation as:

h = (3/4) * h_previous

where h_previous is the height of the previous bounce.

We know that the initial height of the ball is 768 inches, and we want to find the number of bounces when the height of the bounce is less than 9 inches. We can set up an inequality to represent this situation:

h < 9

Substituting the expression for h from the equation above, we get:

(3/4) * h_previous < 9

Now, we can start with the initial height of 768 inches and keep applying the equation for each bounce until the height of the bounce is less than 9 inches.

1st bounce:

h = (3/4) * 768 = 576 inches

2nd bounce:

h = (3/4) * 576 = 432 inches

3rd bounce:

h = (3/4) * 432 = 324 inches

4th bounce:

h = (3/4) * 324 = 243 inches

5th bounce:

h = (3/4) * 243 = 182.25 inches

6th bounce:

h = (3/4) * 182.25 = 136.6875 inches

7th bounce:

h = (3/4) * 136.6875 = 102.515625 inches

8th bounce:

h = (3/4) * 102.515625 = 76.88671875 inches

9th bounce:

h = (3/4) * 76.88671875 = 57.6650390625 inches

10th bounce:

h = (3/4) * 57.6650390625 = 43.248779296875 inches

So, the ball will bounce up to a height less than 9 inches after 10 bounces.

Answer:

145

Step-by-step explanation:

500-220=280

280+300=580

580÷4=145

The 9th term of the given sequence is 78732.

The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:

aₙ = a₁rⁿ⁻¹

Here, a₁ = 12 and r = 3.

Therefore, the formula for the nth term becomes:

aₙ = 12(3)ⁿ⁻¹

Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:

a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732

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Answer:

a) 9

b) Yes

Step-by-step explanation:

a) 9y\( {}^{0} \)

Evaluate for y=3

9(3\( {}^{0} \))

=9(1)

=9

b) Without the value of y, we can't find the answer to the question cause their are no like terms

Answer;

Explanation;

Firstly, we need to understand what the value of each of the coin type meant

A quarter is 25 cents

A dime is 10 cents

A penny is worth 1 cent

A nickel is worth 5 cents

Now, let us get the amount each of them had

Maria had 2 quarters(2 * 25) + 1 dime (10) + 3 pennies (3*1) = 50 + 10 + 3 = 63 cents (6 coins)

Jocelyn had 2 nickels (2 * 5) = 10 cents (2 coins)

Maria gave three coins to Jocelyn