Someone please help me with this problem.

The speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.

i. The speed of Hailey’s plane is 50 feet per second.

As Hailey’s plane took 90 seconds to climb 4,500 feet,

X= 4,500 ÷ 90

X= 50 feet per second.

ii. The plane was at 1750 feet at 35 seconds.

As the plane climb 50 feet per second,

X= 50 * 35

X= 1750 feet.

Jetliners typically fly between 240 and 285 km/h during take-off (130–154 km; 149–177 mph). Light aircraft, such a Cessna 150, accelerate to about 100 km/h after take-off (54 km; 62 mph). Even slower take-off speeds apply to ultra-lights.

Hence, the speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.

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The speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.

i. The speed of Hailey’s plane is 50 feet per second.

As Hailey’s plane took 90 seconds to climb 4,500 feet,

X= 4,500 ÷ 90

X= 50 feet per second.

ii. The plane was at 1750 feet at 35 seconds.

As the plane climb 50 feet per second,

X= 50 * 35

X= 1750 feet.

Jetliners typically fly between 240 and 285 km/h during take-off (130–154 km; 149–177 mph). Light aircraft, such a Cessna 150, accelerate to about 100 km/h after take-off (54 km; 62 mph). Even slower take-off speeds apply to ultra-lights.

Hence, the speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.

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Lelah can arrange the four posters in 24 ways.

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order.

Now it is given that,

Number of poster = 4

Number of walls = 4

Since one poster of each team to put one poster on each of her four walls.

So, number of ways = 4!

⇒ number of ways = 4x3x2x1

⇒ number of ways = 24 ways

Thus,  Lelah can arrange the four posters in 24 ways.

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The base-ten number for the number 29 is 29

The number is given as

29

The base of the above number is not stated

When the base of a number is not stated, then the base of the number is base 10

This means that the number 29 is in base ten

Hence, the base-ten number for the number 29 is 29

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Answer:

Increasing Speed, Decreasing Speed, and changing direction. Or a change in direction.

Step-by-step explanation:

Answer:

y^2 - 4y + 16 - 65/y + 4

The possible answers for the vertices of triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6). (Correct answers: A, E, D)

In this problem we find the locations of the three vertices of a triangle, which is modified by a non-rigid transformation rule, that is, a transformation that does not conserve the original form of the triangle. If we know that A(x, y) = (7, 6), B(x, y) = (- 3, 5) and C(x, y) = (- 4, 9), then the vertices of the image of the triangle are, respectively:

A'(x, y) = (2 · 7, 6 - 3)

A'(x, y) = (14, 3)

B'(x, y) = (2 · (- 3), 5 - 3)

B'(x, y) = (- 6, 2)

C'(x, y) = (2 · (- 4), 9 - 3)

C'(x, y) = (- 8, 6)

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Answer: 1, 2, 4

Step-by-step explanation:

Step-by-step explanation:

Remember your exponent rules.

[tex] {a}^{ - m} = \frac{1}{a} [/tex]

And

[tex] {(\frac{a}{b} )}^{ - m} = {(\frac{b}{a} )}^{ m}[/tex]

So the first one would be

[tex] \frac{1}{ {4}^{3} } \times 4 = \frac{1}{16} [/tex]

The diameter in standard notation is 250,000 km, so the correct option is C.

we know that the diameter in scientific notation is:

D = 2.5*10^5 km

Now we want to rewrite this in standard notation, to do so you just need to solve the product, we can rewrite:

10^5 = 10*10*10*10*10 = 100,000

Then we can rewrite the diameter as:

D = 2.5*10^5 km = 2.5*100,000 km

D = 250,000 km

The diameter in standard notation is 250,000 km, so the correct option is C.

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A swimming pool has a volume of 256 yd³.The amount of water in gallons needed to completely fill the pool is 51705.344 gallons.

Given that,

A swimming pool has a volume of 256 yd³.

We have to find The amount of water in gallons needed to completely fill the pool.

What is the conversion factor defined as?

An amount is used as a conversion factor when multiplying or dividing one set of units by another.

The appropriate conversion factor must be applied when converting to an equivalent value.

For instance, 12 inches equals 1 foot when converting between inches and feet.

Regarding the given problem;

The pool has a volume of 256 yd³.

Convert the yd³ volume to gallons.

201.976 gallons are in 1 yd³.

As a result, multiply both sides by 256 to get the total volume, which is 256 yd³.

201.976 yd³ are equal to 256 gallons.

51705.344 gallons are equal to 256 yd³.

Consequently, 51705.344 gallons of water are needed to completely fill the pool.

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Answer:

3 18/19

Step-by-step explanation:

1. Change to improper fractions.

        (You do this by multiplying the denominator and the whole number, then add the numerator.)

7 1/2 ⇒ 15/2

1 9/10 ⇒ 19/10

So now its:  15/2 ÷ 19/10

2. Keep, change, flip

Keep the first number (15/2), change the division to multiplication, flip the other fraction (From 19/10 to 10/19).

3. Multiply

15/2 × 10/19 = 150/38

Simplified, the answer is 3 18/19

Answer:

To find the inverse interchange the variables and solve for y.

Step-by-step explanation:

f−1(x)=6x−53(1+x)

Answer:

Step-by-step explanation:

Answer:

X = 11

Step-by-step explanation:

7( x – 4) –3 = 46

7( x– 4 ) = 46 + 3

x – 4 = 49/7

x – 4 = 7

x = 7 + 4

x = 11

Hope This Help :)

Answer: x∈(-∞,3]      x∈(-∞,1.5)

Step-by-step explanation:

2(3x+1)≤20

Divide both parts of the equation by 2:

3x+1≤10

3x+1-1≤10-1

3x≤9

Divide both parts of the equation by 3:

x≤3

Thus, x∈(-∞,3]

[tex]\displaystyle\\4(x-1) < 2\\\\Divide\ both\ parts\ of\ the\ equation \ by \ 4:\\\\x-1 < \frac{2}{4} \\\\x-1 < 0.5\\\\x-1+1 < 0.5+1\\\\x < 1.5\\\\Thus,\ x\in(-\infty,1.5)[/tex]

The solution in interval notation, x∈(-∞,3] and x∈(-∞,1.5)

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

An inequality is a mathes that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities is used to describe relationships between quantities or to express constraints or conditions.

WE are given that the inequality  as;2(3x+1)≤20

Divide both parts of the equation by 2:

3x+1≤10

3x+1-1≤10-1

3x≤9

Now Divide both parts of the equation by 3:

x≤3

Thus, x∈(-∞,3]

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Answer:

[tex]2.50c \: + \: 3.25b \: \leqslant \: 35[/tex]

Step-by-step explanation:

The total amount spent needs to be less than 35 dollars but it can also equal that amount. It can't be greater than 35 dollars because you can't spend money you don't have

The point after the first one is (2,5). The point after the third one is (4,11) The fifth point is (5,14). The last point is (6,17)

Answer:

Step-by-step explanation:

There are 4 five's in the deck.

Probability of drawing a five is:

Since the card is replaced, it has same probability the second time.

So the probability of drawing a five twice is:

The interest that y dollars earn in one day at a rate of 1.75% compounded daily is 0.0175

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

Let I represent the total interest gotten from investing y dollars. Since y dollars is invested at a rate of 1.75% compounded daily, hence:

Interest = y * 0.0175 = 0.0175

The interest that y dollars earn in one day at a rate of 1.75% compounded daily is 0.0175

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After 5 sec will be the same seconds of the elevator.

The two elevators will reach the same floor at the same time if they are both going at a constant speed. If one elevator is going faster than the other, it will reach the bottom first and vice versa.

Given that, elevator A speed = 27-21/3-1=6/2=3

Elevator B speed = 23-19/3-1=4/2=2

suppose x second After will be the Elevator be at the same height

when at 1 second, Elevator A is 27, Elevator B is 23

so Elevator A start at height (27+3), Elevator B start at 23+2

30-3x=25-2x

-3x+2x=25-30

-x=-5

x=5

Hence, after 5 sec will be the same seconds of the elevator.

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The required cost of each cookie become when buying in dozen is $0.54.

Given that,
Bought 12 cookies (each cookie for 0.99).
A dozen pack is for 6.55.
how much more would each cookie cost if bought by the dozen is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
In a dozen cookies, there are 12 cookies
Now cost of a dozen cookies = 6.55
Now 12 cookies = $6.55
1 cookie = 6.55 / 12
cost of 1 cookie = $0.54

Thus, the required cost of each cookie become when buying in dozen is $0.54.

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Answer:

67.25

Step-by-step explanation:

Since they can each get 1/2 the jelly beans but need to eat it over 4 days they will be eating 1/2*1/4 jelly beans per day. This is equal to 1/8x where x is the total jelly beans. We know the total so we can plug 538 in for x and divide 538 by 8 to get 67.25

The number of lines drawn through the 3 collinear points is 10, so the correct option is option d) 10.

It is said that there are 5 points such that no three points out of them are lying in a straight line. This refers to the points being collinear.

Collinear points are associated with three or more different points that do lie on the same straight line and thus, non-collinear points will be defined as points that do not lie on the same straight line.

This means that the points that are non-collinear cannot be connected together via a single line as they are not lying in the same line.

For non-collinearity, not more than two points should be lying in the same straight line.

This is what is given in the question which says that no 3 points can lie on the same line joined through a straight line.

However it is not necessary that the points that are non-collinear will also not lie on the same plane, that is, exhibit the coplanar property.

So hence, non-collinear points are independent of the coplanarity property which means that points that cannot lie on the same line can lie on the same plane.

This is the case given here as it is said that the 5 points that are non-collinear in nature, however, do lie on the same plane which is a single paper. They are coplanar as they lie on the same plane of the paper.

A solution is required to be derived where the 5 points need to be connected so that the above conditions are to be satisfied.

The points must be placed in such a way that no 3 points are collinear but they all must lie on the same plane.

This means that 1 or 2 points are allowed to lie on the same line. Thus, if a figure can be drawn out of these conditions it will form a star-shaped figure enclosed inside a pentagon. (Figure attached at the end)

The number of lines that can be drawn through them satisfying the condition is to be found out. So all the possible pairs are connected via straight lines drawn.

As it can be seen in the figure below if there are 5 points A, B, C, D, and E such that no three points lie on the same line there are 10 lines that are possible that can be drawn connecting them.

The pairs are however considered distinctly which means that either of the lines AB or BA must be taken for example. Both are not to be taken as they represent the same straight-line pair.

So the number of possible connections in the setup given below (from the figure) is 10 namely AB, BC, AE, CA, CD, DE, CE, DA, DB, and BE.

Thus, the number of lines that can be drawn through the 5 points such that no 3 points are collinear is 10.

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Answer:

I would say 144

Step-by-step explanation:

I say 144 Because 3 to the square root of 16 is 12

And twelve to the second power is 2

Reginald spent 7/4 hours if his time in writing notes.

As, per the given question;

Total time of Reginald doing research in the library is 2 1/3 hours.

2 1/3 is given in the mixed fraction;

Solving this;

= (2×3 + 1)/3

= (6 + 1)/3

= 7/3

Thus, total hours in library is 7/3 hours.

He spent 3/4 of that time in writing notes;

3/4 of 7/3 will be. simply multiply.

= (3/4)(7/3)

= 7/4

Thus, the total time spent 7/4 hours of his library time in writing his notes.

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Greetings from Brasil...

The expression that allows using the equation of a circle is:

(X - Xc)² + (Y - Yc)² = R²

as

Xc = - 4, Yc = 4 and R = 4, then

or

X² + 8X + Y² - 8Y + 16 = 0

Answer:

2x/3

Step-by-step explanation:

[tex] \frac{16 {x}^{4} }{24 {x}^{3} } = \frac{2x}{3} [/tex]

Hence , the store owner's profit will be $ 102 .

It is providing a store owner orders twenty five calculators that price ​$30 every.

Original cost = number of calculators × cost per calculator

                       = 25 ×  30

                       = $ 750

Sales revenue  = 22 ×  39

                         = $ 858

Return loss = 3 ×  2

                   = $ 6

Profit = Sales revenue - ( Original cost + Return loss )

          =  858 - ( 750 + 6 )

          = 858 - 756

          = $ 102

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1. The predetermined overhead rate is $7 per machine hour.

2. The total manufacturing overhead applied to the Work in Process Inventory account during the first month of operations is $49,000.

3. The balance in the Work in Process Inventory account at the end of the first month is $33,200.

4. The gross profit that Tyler Tooling Company reported during the first month of operations before adjusting overapplied overhead is $5,000.

5-a. The balance in the Manufacturing Overhead account at the end of the first month is $4,000.

5-b. The overhead is overapplied.

Estimated total manufacturing overhead = $420,000

Estimated total machine hours = 60,000 hours

Predetermined overhead rate = $7 ($420,000/60,000)

                                            Job 101     Job 102          Job 103         Total

Direct materials used       $ 19,200    $ 14,400       $ 9,600     $ 43,200

Direct labor                      $ 28,800     $ 11,200       $ 9,600     $ 49,600

Applied overhead              $7,000     $28,000      $14,000      $49,000

Total costs                       $55,000     $53,600      $33,200     $141,800

Machine hours             1,000 hours   4,000 hours 2,000 hours 7,000 hrs

Status of Jobs                   Sold             Finished      WIP

Sales revenue (Job 101) = $60,000

Actual overhead costs for the first month = $45,000

Applied overhead for the first month = $49,000 ($7 x 7,000)

Overapplied overhead = $4,000 ($49,000 - $45,000)

Sales revenue       $60,000

Cost of goods sold 55,000

Gross profit            $5,000

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The value of x is 3.6 and the value of y is 13.35.

We are given the equations that:

15 x - 26 = 28°

12 x + 1 = (4 y - 9)°

Now,

15 x - 26 = 28°

Add 26 to both the sides:

15 x = 28 + 26

15 x = 54

Divide both sides by 15, we get that:

x = 54 / 15

x = 3.6

Now, we have:

12 x + 1 = (4 y - 9)°

Substitute x = 3.6

12 (3.6) + 1 = 4 y - 9

43.2 + 1 = 4 y - 9

44.2 = 4 y - 9

4 y = 44.2 + 9

4 y = 53.2

y = 53.2 / 4

13.35

Therefore, we get the value of x as 3.6 and the value of y as 13.35.

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Answer:

The value of x is 3.6 and the value of y is 13.35.

Step-by-step explanation: