Suppose that during its flight, the elevation e (in feet) of a certain airplane and its time t, in minutes since takeoff, are related by a linear equation. Consider the graph of this equation, with time represented on the horizontal axis and elevation on the vertical axis. For each situation, decide if the slope is positive, zero, or negative.

Answer:

n>3

Step-by-step explanation:

the first one is 3 hopefully i am right

The sum of the angles of the triangle expressed in two ways are x + 1/2x + 3/2x and 2x + x + 3x/2

It is important to note that the sum of the angles of a triangle is equal or equivalent to 180 degrees.

We have the angle measurements as;

Substitute the values

x + 1/2 x + 3/2x = 180

Find the lowest common multiple

2x + x + 3x /2 = 180

Add the numerators

6x/2 = 180

cross multiply

6x = 360

x = 60

Hence, the expression is x + 1/2x + 3/2x and 2x + x + 3x/2

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Step-by-step explanation:

13)

remember the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides (a, b, c) are always opposite to the correlated angles (A, B, C).

12/sin(90) = DC/sin(47)

12/1 = DC/sin(47)

DC = 12×sin(47) = 8.776244419... ≈ 8.8

14)

so, we have a right-angled triangle.

the ladder (20 ft) is the Hypotenuse (the baseline opposite of the 90° angle). the ground distance (17 ft) of the ladder to the wall and the height on the wall are the legs.

first let's get the third side (the height in the wall) by using Pythagoras :

c² = a² + b²

c being the Hypotenuse.

20² = 17² + height²

400 = 289 + height²

height² = 111

height = sqrt(111) = 10.53565375... ft

now, again the law of sine :

20/sin(90) = sqrt(111)/sin(angle)

20 = sqrt(111)/sin(angle)

sin(angle) = sqrt(111)/20 = 0.526782688...

angle (ladder with ground) = 31.78833062...° ≈ 32°

15)

cos > 0 and csc < 0.

as csc = 1/sin, this means sin < 0.

sin (and therefore csc) is negative only in the 3rd and 4th quadrant.

cos is positive in the 1st and the 4th quadrant.

so, the answer is the 4th quadrant (bottom right).

16)

tan(315) = sin(315)/cos(315)

315° = 360 - 45 = 270 + 45

so, this is half of the 4th quadrant, and that means

sin(315) = -cos(315) (sine of 45° = cosine of 45°).

tan(315) = -cos(315)/cos(315) = -1

Answer:

3 gallons = 12 ounces

12 x 3 = 36 ounces

Accοrding tο the prοvided statement, there will be 21 favοrable results.

A cοmpοsite number is a pοsitive integer that can be fοrmed by multiplying twο smaller pοsitive integers. Equivalently, it is a pοsitive integer that has at least οne divisοr οther than 1 and itself.

A prime integer οnly has twο factοrs: οne and itself. A cοmpοund integer is made up οf at least three cοmpοnents, and οccasiοnally much mοre.

A prime number (οr a prime) is a natural number greater than 1 that is nοt a prοduct οf twο smaller natural numbers. A natural number greater than 1 that is nοt prime is called a cοmpοsite number. Fοr example, 5 is prime because the οnly ways οf writing it as a prοduct, 1 × 5 οr 5 × 1, invοlve 5 itself. Hοwever, 4 is cοmpοsite because it is a prοduct (2 × 2) in which bοth numbers are smaller than 4.

Primes are central in number theοry because οf the fundamental theοrem οf arithmetic: every natural number greater than 1 is either a prime itself οr can be factοrized as a prοduct οf primes that is unique up tο their οrder.

4, 6, 8, 9, 10, 12 - these are the cοmpοsite numbers pοssible as sum.

Favοurable number οf οutcοmes = 21 ans.

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The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).

Answer:

Quadrants

Step-by-step explanation:

When two lines intersect such that they are perpendicular to each other, then  quadrants are said to be formed. So that a given space would be divided into four quadrants when two perpendicular lines are drawn on it.

Each section which is called quadrant is at right angle to one another. So that the addition of their angles at the meeting point is the sum of four right angles i.e \(360^{o}\). Thus each of the four sections created by the intersecting lines is called a quadrant.

$32 is the cost of each necktie at full price.

Given that

At Dapper Dave's annual end-of-season sale, every necktie in the shop gets marked down.

Dillon purchased 6 neckties during the sale. Each necktie cost $5 less than its full price.

He paid a total of $162.

To find

What is the cost of each necktie at full price ?

So, according to the question

we have,

On that end-of-season sale

Total purchased neckties = 6

Discount on each neckties = $5

Amount paid by him = $162

Let's assume the full price of one neckties is $x.

So,

    The price of one neckties after discount = x - 5.

     So the price of one neckties after discount = 6(x-5)

     He paid $162 for 6 neckties,

So we can say that

       the price of one neckties after discount =  $162

So,

         6(x-5) = 162

             x-5 = 162/6      

             x-5 = 27

                x = 27+5

                 x = 32

The cost of each necktie at full price is $32.

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Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Answer:

20) 8 years

21) Tori could paint the room alone for 3 hours, Sydney could paint the room alone for 5 hours.

Step-by-step explanation:

A = P ( 1 + r/n ) ^ nt.

8000 = 5000 ( 1 + 6%/4) ^ 4t

8000 = 5000 ( 1 + 0.06/4) ^4t

8000 = 5000 ( 1 + 0.015 ) ^ 4t

8000 = 5000 ( 1.015 ) ^ 4t

8000 / 5000 = ( 4.06 / 4 ) ^ 4t

8/5 = ( 203/200 ) ^ 4t

b = aᶜ ⇔ logₐb = c

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

Answer:50.2654812288

Step-by-step explanation:

The two circles :

Sa  = πr²

     = π x 2²

     = 12.5663706144

     = 12.5663706144 x 2

     = 25.1327412288

The rectangle :

C x h = 2πr

= 25.13274

= 25.13274 + 25.1327412288

= 50.2654812288

Step-by-step explanation:

50.2654858683848

because it is equivalent to this. Also I can tutor you

The given set is (3, 4, 5, ...} is infinite set.

A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.

The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.

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Answer:

\(1-8x-2x^2\)

Step-by-step explanation:

(-4x^3-14x^2+10x-1)÷(2x-1)

Factor the expressions that are not already factored.

\(\frac{(2x-1)(2x^2-8x+1)}{2x-1}\)

Cancel out 2x−1 in both numerator and denominator.

\(2x^2-8x+1\)

Swap terms to the left side.

\(1-8x-2x^2\)

Graph if needed:

Answer:

148

Step-by-step explanation:

The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

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Answer:

C

Step-by-step explanation:

Answer:

okay sure Barnyst comingup

Step-by-step explanation:

Answer:

it's b

Step-by-step explanation:

Answer:

1.8,000, 10 000, 11 000

2. 23 675, 23 756, 23 890

3. 67 234, 78 123, 87 234

B.

4. 14 987,14 789, 14 123

5. 70 900,70 345,70 009

Answer:

A. Arrange in increasing order.

1. 11000, 10000, 8000

= 8000 < 10000 < 11000

2. 23675, 23756, 23890

= 23675 < 23756 < 23890

3. 78123, 67234, 87234

= 67234 < 78123 < 87234

B. Arrange in decreasing order.

4. 14789, 14987, 14123

= 14987 > 14789 > 14123

5. 70345, 70900, 70009

= 70900 > 70345 > 70009

The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

We have,

To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.

The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).

Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.

Substituting these into the expression,

We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).

Now, let's evaluate the limit term by term:

lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).

lim(x approaches 0) (x (1/(sin(x))³))

= 0 (1/(sin(0))³)

= 0 x 1/0 (which is also undefined).

Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.

Therefore,

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

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Answer:

10 hours

Step-by-step explanation:

380 - 80 = 300

30 : 1 = 300 : x

x = 300 / 30

x = 10

Answer:

x = 13 or x = 1

Step-by-step explanation:

To solve the equation (x - 7)^2 = 36, we can take the square root of both sides:

(x - 7)^2 = 36

sqrt((x - 7)^2) = sqrt(36)

x - 7 = ±6

Solving for x, we get:

x - 7 = 6 or x - 7 = -6

x = 13 or x = 1

Therefore, the values of x that satisfy the equation are x = 13 and x = 1. The values x = -29 and x = 42 do not satisfy the equation.

Answer:

IQR = Q3-Q1

=30-10

=20

Interquartile range = Quartile3-Q1

= 30 - 10

= 20

Answer:

1384.7

Step-by-step explanation:

42/2     21^2x3.14=1384.74

Hope this Helps :)