Please thank you! I will give brainleist to the first correct answer if it lets me

Please Thank You! I Will Give Brainleist To The First Correct Answer If It Lets Me

Answers

Answer 1

Answer:

x=10 y=12

Step-by-step explanation:

just multiply 15 and 18 by 1/3 because both triangle are similar.

Answer 2

Answer:

x = 10; y = 12

Step-by-step explanation:

find the scale factor ratio using corresponding sides: 9 / 6 = 3/2 so the ratio is 3:2

from large triangle to small triangle you will get:

1. 15 / x

2. 18 / y

to implement the ratio, set the side length ratio equal to the scale factor:

1. [tex]\frac{15}{x}[/tex] = [tex]\frac{3}{2}[/tex]

2. [tex]\frac{18}{y}[/tex] = [tex]\frac{3}{2}[/tex]

cross multiply:

1. 30 = 3x

2. 36 = 3y

divide:

1. x = 10

2. y = 12


Related Questions

Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $52 and then they charge her $8 per hour. She has $144 Available to spend on a car rental. What is the greatest number of hours for which she can rent the car?

Answers

Answer:

11 hours

Step-by-step explanation:

First, you have to subtract 144-52= 92. After the initial fee, she has 92 dollars to spend on the car. Then, you divide 92 by 8 because it costs 8 dollars an hour. And this gets you 11.5 which you would have round down because she can't pay for the extra hour. She does not have enough money.

in which table does y vary inversely with x?

Answers

Answer:

Table B

Step-by-step explanation:

Note that for y to vary inversely as x, an increase in x will cause a decrease in y. Therefore, by careful observation of tables A, B, C, and D, we would notice the following:

In table C:

As x increases from 1 to 2 to 3, y also increases from 26 to 52 to 78. Which means that an increase in x causes an increase in y. This is not an inverse variation.

In table D:

As x increases from 1 to 2 to 3, y also increases from -7 to -1 to 6. Which means that an increase in x causes an increase in y. This is also not an inverse variation.

We are left with options A and B

If y varies inversely as x, the following relationship must hold:

[tex]y \alpha \frac{1}{x}\\y = \frac{k}{x}[/tex]

Where k is a constant of proportionality

considering option B:

When x = 1, y = 36

36 = k/1

k = 36 * 1

k = 36

when x = 2, y = 36/2

y = 18

when x = 3, y = 36/3

y = 12

These tally with all that is indicated in the table. Option B is an inverse variation

An annual salary is $45000. His tax free allowances total $13000. He has to pay a tax of 20% on his taxable income.
The tax payable is?

Answers

Answer:

6400

Step-by-step explanation:

Taxable amount=45000-13000=32000

tax=32000*20/100

=6400

Answers

Answer:

????

Step-by-step explanation:

Where is the question????

Coffee is sold in two different sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger canister is double the size of the small canister. Calculate the volume and surface area of each canister and compare the results of doubling the dimensions.

Answers

Answer:

volume 1 =763 cm3

volume 2 = 6,104 cm3

Second volume is 8 times greater than the first volume.

Surface area 1 = 466 cm2

surface area 2 =1,865 cm2

second surface area is 4 times greater than the first surface area .

Step-by-step explanation:

Volume of a cylinder: π radius^2 x height

Radius = diameter /2 = 9/2 = 4.5

V = 3.14 x 4.5^2 x 12 = 763 cm3

Surface area: (3.14 r^2)2 + 2(π x radius x height)

Sa = (3.14 x 4.5^2 )2 + 2(3.14 x 4.5 x 12 )=466 cm2

Since the second canister is double the size:

Radius = 4.5 x 2 = 9

Height = 12 x 2 =24

V = 3.14 x 9^2 x 24 = 6,104 cm3

Sa = (3.14 x 9^2 )2 + 2(3.14 x 9 x 24 )=1,865 cm2

Dividing the second volume by the first one:

6,104/ 763 = 8  

Second volume is 8 times greater than the first volume.

Dividing the second surface area by the first one:

1865/466 = 4

second surface area is 4 times greater than the first surface area .

Container 1 has 174 lires of oil, Container 2 has 258 litres of oil. Sam pours entire contents of container 1 into smaller jars, so that the oil completely fills the jars and there is no oil left. He also pours the entire contents of container 2 into the same size jars so that there is no oil left. What can the maximum size of the smaller jars be?

Answers

Answer:

The maximum size of the smaller jars is 6 liters

Step-by-step explanation:

Container 1=174 liters of oil

Container 2=258 liters of oil

Same pours the entire content of container one and container 2 into the same number of smaller jars

The maximum size of the smaller jar can be found by finding the highest common factor of 174 and 258

Factors of 174=1,2,3,6,29

Factors of 258=1,2,3,6,43

Common factors of 174 and 258=1,2,3 and 6

Highest common factor=6

Therefore,

The maximum size of the smaller jars is 6 liters

Can someone tell me the answer it would really help 3(x−2)+1 =

Answers

Step-by-step explanation:

3(x-2)+1

= 3x-6+1

= 3x-5

Answer:

Step-by-step explanation:

3(x-2)+1=

Then distribute, and now you get:

3x-6+1=

Now combine like terms, and now you get:

3x-5=

There is nothing much to do because there isn't a answer for it

Find the m∠CDE rjrsjrsrjr

Answers

Answer:

m∠CDE = 60°

Step-by-step explanation:

Given that the arc at the center = 2 times the arc at the circumference, we have;

Angle at the center = arc CE = 120°

Whereby the angle at the circumference is given as m∠CDE and it is opposite the circle arc CE

We note that m∠CDE is the acute angle between chord DC and DE

Therefore, we have;

Angle at the center = 120° = 2 times the arc at the circumference = 2 × m∠CDE

120° = 2 × m∠CDE

m∠CDE = 120/2 = 60°

Therefore the angle of m∠CDE is equal to 60°.

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

Answer:

9/13

Step-by-step explanation:

rise = y₂ - y₁ = -1 - (-10) = -1 + 10 =   9

run = x₂ - x₁ =   9 - (-4)   =   9 +   4 = 13

Step-by-step explanation:

What is the simplified form of -9x+3x

Answers

Answer:

-6x

Step-by-step explanation:

you can combine numbers with the same coefficient like any other number

Answer:

-6x

Step-by-step explanation:

It would be doing the same thing as -9 + 3, but without a variable.  

A cake mix calls for these ingredients. 2 cups of sugar 7 cups of flour 3 cups of milk 1 cup of oil Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?

Answers

Answer:

Ratio of sugar and flour

2:7

Ratio of milk and oil

3:1

Step-by-step explanation:

Here in this question, we shall be writing ratios based on the given number of cups in the question.

We start with ratio of sugar to flour.

We have;2 cups of sugar and 7 cups of flour. Thus we have the ratio of sugar to flour as 2:7

Also we want the ratio of milk and oil

we have 3 cups of milk and 1 cup of oil

So the ratio of milk and oil is 3:1

Answer: TO be short for it its B! :D

A cake mix calls for these ingredients.

2 cups of sugar

7 cups of flour

3 cups of milk

1 cup of oil

Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?

3/7 > 2/1

2/7<3/1

7/1<2/3

3/2>1/7

2

SEE ANSWERS

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Answer

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jazminlowery

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2/7<3/1

with 2 cups of sugar to 7 cups of flour that is a small ratio/ fraction while as

3 cups of milk to 1 cup of oil is a larger ratio/fraction.

douwdek0 and 60 more users found this answer helpful

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42

4.0

(18 votes)

Answer

4.0/5

24

ColinJacobus

Ambitious

3.7K answers

40.4M people helped

Answer:  The correct option is (B).

The ratio of  sugar to flour is  and the ratio of milk to oil is

Step-by-step explanation:  Given that a cake mix calls for the following ingredients:

2 cups of sugar , 7 cups of flour , 3 cups of milk  and 1 cup of oil.

We are given to write the ratios of sugar to flour and milk to oil and select the correct comparison of the ratios.

The ratio of sugar to flour is given by

and the ratio of milk to oil is given by

Since

so have

Thus, the ratio of  sugar to flour is  and the ratio of milk to oil is  The correct comparison is

Option (B) is CORRECT.

Step-by-step explanation:

5/8 of the staff are male. 5/12 of the staff works part time at the aquarium.What fraction of the staff is female?

Answers

Answer:

3/8

Step-by-step explanation:

If 5/8 of the staff is male, then 8/8 is the total number of staff.

8/8 - 5/8 = 3/8

3/8 of the staff is female.

Hope this has helped. If the question has more to it, then please specify.

Can any kind soul help me ​

Answers

Answer:

a) 4.50m/s²

b) v= 21

c) 11.25m/s

Step-by-step explanation:

a) rate of change of speed in first 2 seconds

= gradient of graph from t=0s to t=2s

The two points are (0,0) and (2,9).

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Rate of change of speed

[tex] = \frac{9 - 0}{2 - 0} \\ = \frac{9}{2} \\ = 4.50m/ {s}^{2} [/tex]

Total distance= area under graph

Distance travelled for first 6s

= area of traingle +area of rectangle

= ½(2)(9) +(6-2)(9)

= 9 + 4(9)

= 9 +36

= 45m

Distance travelled from t=6s to t=12s

= 135 -45

= 90m

Area under graph from t=6s to t=12s =90

Area of trapezium= 90

½(A +B)(h)= 90

½(9+ v)(6)= 90

3(9 +v)= 90 (simplify)

9 +v= 30 (÷3 throughout)

v= 30 -9

v= 21

c) Average speed

= total distance ÷total time

= 135 ÷12

= 11.25 m/s

Please answer this question now

Answers

Answer:

469.4ft²

Step-by-step explanation:

We have Triangle WXY

In the question, we are given already

Angle W = 27°

Angle X = ?

Angle Y = 40°

Side w =?

Side x = ?

Side y = 38ft

Area of the triangle= ?

Step 1

We find the third angle = Angle X

Sum of angles in a triangle = 180°

Third angle = Angle X= 180° - (27 + 40)°

= 180° - 67°

Angle X = 113°

Step 2

Find the sides w and x

We find these sides using the sine rule

Sine rule or Rule of Sines =

a/ sin A = b/ Sin B

Hence for triangle WXY

w/ sin W = x/ sin X = y/ sin Y

We have the following values

Angle W = 27°

Angle X = 113°

Angle Y = 40°

We are given side y = 38ft

Finding side w

w/ sin W= y/ sin Y

w/sin 27 = 38/sin 40

Cross Multiply

sin 27 × 38 = w × sin 40

w = sin 27 × 38/sin 40

w = 26.83879ft

w = 26.84ft

Finding side x

x / sin X= y/ sin Y

x/ sin 113 = 38/sin 40

Cross Multiply

sin 113 × 38 = x × sin 40

x = sin 113 × 38/sin 40

x = 54.41795ft

x = 54.42ft

To find the area of triangle WXY

We use heron formula

= √s(s - w) (s - x) (s - y)

Where S = w + x + y/ 2

s = (38 + 26.84 + 54.42)/2

s = 59.63

Area of the triangle = √59.63× (59.63 - 38) × (59.63 - 26.84 ) × (59.63 - 54.42)

Area of the triangle = √

Area of the triangle = 469.40772706541ft²

Approximately to the nearest tenth =469.4yd²

Maya is interning at a law firm over the summer and is paid by the hour. If her hourly wage is $52, which equation represents the proportional relationship between the wages she earns (w) and the number of hours (h)?

Answers

Answer: w= 52h

Step-by-step explanation:

Given: Maya is interning at a law firm over the summer and is paid by the hour.

Her hourly pay = $52

i.e. She is paid $52 per hour.

Let the wages she earns is denoted by 'w' and the number of hours is denoted by 'h'.

Now, (Total wages earned) = (hourly pay) x (Number of hours)

w = (52) (h)

⇒ w= 52h

Hence, the equation represents the proportional relationship between the wages she earns (w) and the number of hours (h): w= 52h

Answer:52h

Step-by-step explanation: tried got it right

Molly was curious if quadrilaterals ABCDABCDA, B, C, D and EFGHEFGHE, F, G, H were congruent, so she tried to map one figure onto the other using transformations

Answers

Answer:

The answer is below

Step-by-step explanation:

A transformation of a point is the movement of an point from an initial position to a new position. If an object is transformed, all the point of an object is transformed. Two figures are said to be congruent if they have the same shape and the measure of each of their sides are the same.

An object is congruent to another object if the object can be mapped to the other object when transformed.

Answer:

The answer is c

Step-by-step explanation:

It is the correct solution because you are able to map circle m onto m

Two tangents. find x. angle measures and segment lengths. Acellus. PLEASE HELP!!!

Answers

Answer:

x=60

Step-by-step explanation:

x=1/2(240-120)

x=60

2^2(3-8)÷5-1 please help

Answers

Answer:

-5

Step-by-step explanation:

2^2*(3-8)÷5-1

4*(-5)÷4

-20÷4

=-5

Answer:

-5

Step-by-step explanation:

Firstly 2^2=4, 4(3-8)=4*(-5)= -20, -20/5 -1= -4-1= -5

expand the following (x+3)(x-3)

Answers

Answer:

x² - 9

Step-by-step explanation:

Given

(x + 3)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 3(x - 3) ← distribute both parenthesis

= x² - 3x + 3x - 9 ← collect like terms

= x² - 9

Answer:

x² - 9

Step-by-step explanation:

[tex](x + 3)(x - 3)[/tex]

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )

[tex]x(x - 3) + 3(x - 3)[/tex]

Calculate the product

[tex] {x}^{2} - 3x + 3x - 3 \times 3[/tex]

Multiply the numbers

[tex] {x}^{2} - 3x + 3x - 9[/tex]

Since two opposites add up to zero, remove them from the expression

[tex] {x}^{2} - 9[/tex]

Hope this helps..

Best regards!!

express each of the following decimal number in the p/q form (1)0.5 (2)3.8​

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

0.5 = [tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]

(2)

3.8 = 3 [tex]\frac{8}{10}[/tex] = [tex]\frac{10(3)+8}{10}[/tex] = [tex]\frac{30+8}{10}[/tex] = [tex]\frac{38}{10}[/tex] = [tex]\frac{19}{5}[/tex]

Together, two apples have 1/5 gram of fat. How many apples have a total of 4 grams of a
apples​

Answers

Answer:

40 apples

Step-by-step explanation:

2 apples= [tex]\frac{1}{5}[/tex] grams

x apples= 4 grams

 8/[tex]\frac{1}{5}[/tex] = 8 x 5/1=40

Answer:

40

Step-by-step explanation:

edu instruction correct

I need someone to answer this immediately please. ... The area of a piece of land is 50cm square. Fi d the value of x, if the length
and breadth are given as (x+2) and (x-3)m respectively
options. A. 3
B. 5
C. 7
D. 8​

Answers

Answer:

x=8

Step-by-step explanation:

Area is equal to

A = l * w

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

FOIL

50 = x^2 -3x+2x -6

Combine like terms

50 = x^2 -x -6

Subtract 50 from each side

0 = x^2 -x -56

Factor

What two numbers multiply to -56 and add to -1

-8*7 = -56

-8+7 = -1

0 = ( x-8) ( x+7)

Using the zero product property

x-8 =0   x+7 =0

x = 8   x=-7

Since the length cannot be negative x cannot be negative

x=8

Answer:

8

Step-by-step explanation:

put the 50 under area and continue with like that

find the coordinates of the point satisfying lying on x axis at a distance of 5 units to the right of x axis lying on y axis at a distance of 3 units below the orgin

Answers

Answer:

(5, -3)

Step-by-step explanation:

Coordinates are located on Cartesian planes (more like locating a point on a graph). Cartesian coordinates can be two dimensional or three dimensional in nature depending on the number of axis we are considering. For the question, the dimension of the required coordinate is 2-dimensional i.e (x,y).

On the Cartesian plane, we have the x axis along the horizontal plane and y axis along the vertical.

Note that positive values lies towards the right of the x-axis and also up the y-axis. The negative values lies towards the left of the x-axis and also down the y-axis.

According to the question, if a point is lying on x axis at a distance of 5 units to the right of x axis, then the value of x will be +5 i.e x = +5

Also, if a point lies on the y axis at a distance of 3 units below the origin, then the value of y will be -3 i.e y = -3.

Hence, the coordinates satisfying this points (x,y) is (5, -3)

plz help me x+y=7
x=3-y​

Answers

Answer:

no solution

Step-by-step explanation:

x+y=7

x=3-y​

Substitute the second equation into the first

(3-y) +y = 7

Combine like terms

3 = 7

This is never true so there is no solution

Answer:

[tex]\boxed{\mathrm{No \: solution}}[/tex]

Step-by-step explanation:

x + y = 7

Plug x = 3 - y

3 - y + y = 7

Combine like terms.

3 = 7

No solution.

The base of a regular pyramid is a hexagon.

Answers

Answer:

96[tex]\sqrt{3}[/tex] cm²

Step-by-step explanation:

A hexagon can be cut into 6 equilateral triangles.

Using the half shown in the diagram to calculate the apothem a , and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2a = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

a = 4[tex]\sqrt{3}[/tex] cm

The area (A) can be calculated using

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter of the hexagon )

The sides of the hexagon measure 8 cm ( equilateral Δ has congruent sides )

p = 6 × 8 = 48 cm, so

A = [tex]\frac{1}{2}[/tex] × 48 × 4[tex]\sqrt{3}[/tex] = 96[tex]\sqrt{3}[/tex] cm²

Find the length of a cube with a surface area of 850cm^2 rounded to the nearest tenth. I need a step by step solution pleaseeee:)

Answers

Answer:

11.9 cm.

Step-by-step explanation:

A cube has a SURFACE AREA of 850 cm^2.

A cube has six congruent sides. That means that each side measures 850 / 6 = 141.666666667 cm^2.

Since a side measures 141.66667 cm^2, a side length will be the square root of that (the area of a square is a side length times the side length, and they are the same).

[tex]\sqrt{141.666666666667}[/tex]

= 11.90238071

So, the side length of the cube is 11.9 cm.

Hope this helps!

3√6+4√6 is equal to​

Answers

Answer:

[tex]7\sqrt{6}[/tex]

Step-by-step explanation:

You can only add radicals if the value inside the square root symbol is the exact same, therefore, this one is 6. To find the sum, we can add the values outside the square root symbol (3 and 4) to get our new radical.

We can also check this.

[tex]3\sqrt{6} = \sqrt{9*6} = \sqrt{54}[/tex] ≈ 7.35

[tex]4\sqrt{6} = \sqrt{16*6} = \sqrt{96}[/tex] ≈ 9.8

[tex]7\sqrt{6} = \sqrt{49*6} = \sqrt{294}[/tex] ≈ 17.15

7.35+9.8 = 17.15

Hope this helped!

Answer:

17.15

Step-by-step explanation:

[tex]3\sqrt{6}[/tex]

Square root of 6 is about 2.45

2.45 * 3 = 7.35

[tex]4\sqrt{6}[/tex],

Square root of 6 is about 2.45,

2.45*4 = 9.8

7.35 + 9.8 = 17.15

Find the measure of the missing angles in the kite.

Answers

Answer:

1: 90º

2: 25º

Step-by-step explanation:

Hey there!

Well we know that all the middle angles are 90º right angles,

so we can conclude that angle 1 is 90º.

All the angles in a triangle add up to 180 so we can set up the following,

65 + 90 + x = 180

Combine like terms

155 + x = 180

-155 to both sides

x = 25º

So angle 2 is 25º.

Hope this helps :)

Answer:

Below

Step-by-step explanation:

From the kite you easily notice that 1 is a right angle so its mesure is 90°.

2 is inside a triangle. This triangke has two khown angles: a right one and a 65° one.

The sum of a triangle's angles is 180°.

● (2) + 90+65 = 180

● (2) +155 =180

● (2)= 180-155

●(2) = 25°

Figure ABCD is a parallelogram. Parallelogram A B C D is shown. Angle A is (4 p + 12) degrees and angle C is 36 degrees. What is the value of p? 6

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

i checked on edge

Now that you know the total skid distance (3.8 ft), use the skid-distance formula to find how fast the car was going before it started skidding. How fast was the car traveling before it started skidding? s= sqrt (30 * drag factor * skid distance * braking efficiency)
s= speed
drag factor= 0.90
skid distance= 3.8
braking efficiency= 80% or 0.80

Answers

Answer:

  9.1 mph

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  s = √(30×drag factor×skid distance×braking efficiency)

  s = √(30×0.90×3.8×0.80) = √82.08 ≈ 9.06

The car was traveling about 9.1 mph before it started skidding.

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Express your answer as a common fraction. A survey of 700 non-fatal car accidents showed that 183 involved faulty equipment. Find a point estimate for the population proportion of non-fatal car accidents that involved faulty equipment. A 223.6 mL of volume of gas is measured at 74.5C. If the pressure remains unchanged, what is the volume of gas at standard temperature? A) 1820 B) 61.02 C) 819.4 D) -307.5 Please solve!!! Will make Brainliest!! How does Thoreau use rhetoric to support his argument in this passage from "Resistance to Civil Government"? The character inherent in the American people has done all that has been accomplished; and it would have done somewhat more, if the government had not sometimes got in its way Write an equation of the line that passes through the point (-6, -5) with slope 6.A. y +5= -6(x+6)B.y+6= -6(x+5)C. y+6=6(x+5)D.y+5= 6(x+6) Which way would you choose to solve 3/x=6/14 ?Explain your reasoning. An investigation of a number of automobile accidents revealed the following information: 18 accidents involved alcohol and excessive speed. 26 involved alcohol.12 accidents involved excessive speed but not alcohol.21 accidents involved neither alcohol nor excessive speed.How many accidents were investigated? During the party for Billy and Valencias eighteenth wedding anniversary, Billy is greatly upset by the barbershop quartet (219-30; 172-80 in the shorter edition). Summarize what happens to him in this moment and why. What do you think Vonnegut is saying about the nature of memory in this section of the book (and indeed throughout the book)? Which phrase best describes the graph of a proportional relationship?A) a straight line passing B) a straight line C) a curveD) not a straight line Kelly Woo, owner of Flower Mode, operates a local chain of floral shops. Each shop has its own delivery van. Instead of charging a flat delivery fee, Woo wants to set the delivery fee based on the distance driven to deliver the flowers. Woo wants to separate the fixed and variable portions of her van operating costs so that she has a better idea how delivery distance affects these costs. She has the following data from the past seven months:_______.LOADING...(Click the icon to view the data.) Use the high-low method to determineFlower Paradise's cost equation for van operating costs. Use your results to predict van operating costs at a volume of 15,000 miles.Let's begin by determining the formula that is used to calculate the variable cost (slope).Change in cost / Change in volume = Variable cost (slope)Now determine the formula that is used to calculate the fixed cost component.Total operating cost - Total variable cost = Fixed costUse the high-low method to determineFlower Paradise's operating cost equation. (Round the variable cost to the nearest cent and the fixed cost to the nearest whole dollar.)y = $x + $Enter any number in the edit fields and then click Check Answer.Data TableMonth Miles Driven Van Operating CostsJanuary. . . . . . . . . . . . . . . 15,500 $5,390February. . . . . . . . . . . . . . . 17,400 $5,280March. . . . . . . . . . . . . . . . . 15,400 $4,960April. . . . . . . . . . . . . . . . 16,300 $5,340May. . . . . . . . . . . . . . . . 16,500 $5,450June. . . . . . . . . . . . . . . . 15,200 $5,230July. . . . . . . . . . . . . . . . . . . 14,400 $4,680 How to do this question plz answer A drone is monitoring the atmospheric conditions above a farm field. The drone hovers 5 meters above the crop line. Suddenly, it rises to approximately 5.9 meters (which takes 1.9 seconds) to avoid colliding with the sprinkler system. Based on this information, which equations could model the height, y, of the drone as a function of time, x? The Supreme Court ruling in McCulloch v. Maryland defined the powers of which area of government?