guys I need help with both of the questions

Answer:

1.) 120 mph

2.) 30 mph

Step-by-step explanation:

Given that a  man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?

Let the wind speed = w

and the plane speed = p

From the first sentence,

P - w = 180/ 2

P - w = 90 ....... ( 1 )

From the second statement,

P + w = 180/1.2

P+ w = 150 ...... ( 2 )

Solve equation 1 and 2 simultaneously

P + w = 150

P - w = 90

Add the two equations

2P = 240

P = 120 mph

Substitute p in equation 1

W = 150 - 120

W = 30

Therefore, the wind speed is 30 mph and the plane speed is 120 mph

Answer:

2.25 i believe

Step-by-step explanation:

Answer:

P(X>5) = 0.857

Step-by-step explanation:

Let X [tex]\sim[/tex] uniform(3.17)

[tex]f(x) = \dfrac{1}{17-3} ; \ \ \ 3 \le x \le 17[/tex]

The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:

[tex]P(X > 5) = \int ^{17}_{5} f(x) \ dx[/tex]

[tex]P(X > 5) = \int ^{17}_{5} \dfrac{1}{17-3} \ dx[/tex]

[tex]P(X > 5) =\dfrac{1}{14} \Big [x \Big ] ^{17}_{5}[/tex]

[tex]P(X > 5) =\dfrac{1}{14} [17-5][/tex]

[tex]P(X > 5) =\dfrac{12}{14}[/tex]

P(X>5) = 0.857

Answer

18.8 if they are picking 80 bushes and 9.4 if their

picking the forty bushes together

Step-by-step explanation:

Answer:

i believe the answer is B

Answer:

The surface area is 972 square cm

Step-by-step explanation:

Numeric Value of Functions

Given the function:

A = 252 + 4sh

Where A is the surface area of a square prism , s is edge length of the base  h is the height.

A square prism has a base with edges s=12 cm long and height of h=15 cm.

Substituting these values, we get:

A = 252 + 4(12)(15)

A = 252 + 720 = 972

A = 972

The surface area is 972 square cm

The surface area of the square prism is 1008 cm².

Surface area of a square prism:

where

s = edge side

h = height

Therefore,

s = 12 cm

h = 15 cm

surface area = 2 × 12² + 4 × 12 × 15

surface area = 2 × 144 + 48 × 15

surface area = 288 + 720

surface area = 1008

surface area = 1008 cm²

learn more on square prism: https://brainly.com/question/20796251?referrer=searchResults

Answer:

about a half teaspoon

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{3^5}{3^{-6}}=3^{11}[/tex]

Step-by-step explanation:

Properties of Exponents

They can be used to simplify expressions of the form

[tex]b^x\cdot b^y=b^{x+y}[/tex]

[tex]\displaystyle \frac{b^x}{b^y}=b^{x-y}[/tex]

The last property will be used to simplify:

[tex]\displaystyle \frac{3^5}{3^{-6}}=3^{5-(-6)}=3^{5+6}=3^{11}[/tex]

[tex]\mathbf{\displaystyle \frac{3^5}{3^{-6}}=3^{11}}[/tex]

Answer:

1/50 2%

Step-by-step explanation:

1 divided by 50

Answer:

[tex]Combination = 24[/tex]

Step-by-step explanation:

Given

MATH

Required

Number of combination

First, we count the letters in MATH

There are 4 letters;

So:

[tex]n = 4[/tex]

Since, no letter is repeated.

The number of combination is n!

This gives:

[tex]Combination = 4![/tex]

[tex]Combination = 4*3*2*1[/tex]

[tex]Combination = 24[/tex]

Answer:

d

Step-by-step explanation:

The action that would violate the Ninth Amendment would be:

d) Obtaining unauthorized personal information from a website.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, Today, the Ninth Amendment is used mainly to stop the government from expanding their power rather than just limiting their power.

The 9th amendment means that even if a right is not specifically mentioned in the Constitution, it still belongs to the people.

For example, in this case, the right to privacy. It's not specifically mentioned in the Constitution, but it is still a right that the government cannot take away.

Thus, The action that would violate the Ninth Amendment would be:

d) Obtaining unauthorized personal information from a website.

Learn more about the mathematical expression visit:

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Answerj,   C v v .

Step-by-step explanation:

Answer: 5 sides

Step-by-step explanation:

Answer:

x=46994

Step-by-step explanation:

Just do 1204 38/39 * 39 to get x=46994

Answer:

n < 4

Step-by-step explanation:

[tex]\frac{1}{2} n+3<5[/tex]

     -3     -3

[tex]\frac{1}{2} n[/tex] < 2

divide  both sides by [tex]\frac{1}{2}[/tex]

n < 4

Hope this helps!!!

It crosses the y axis at 4... it is 4 :)

Answer:

a. (0, 4)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line crosses the y-axis at y = 4. Therefore, our y-intercept is 4. Writing it in coordinate point would be (0, 4), as definition of the y-int.

The value of x for the given geometry will be 20°.

The angle is the measurement of the angular distance. For instance, we have a meter and an inch for linear motion, but we don't have a measurement for angular rotation, therefore the angle is helpful in determining angular rotation.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

Given that AE is a bisector of ∠BAE and ∠EAC

so,

∠BAE = ∠EAC

x + 30 = 3x - 10

x = 20°

Hence 20° will be the answer to the given question.

For more about the angle

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Answer:

sin A = √3/2sin A = sin 60°A = 60°Now, cot A = cot 60° = 1/√32cot² A - 1 = 2cot² 60° - 1= 2(1/√3)² - 1= 2/3 - 1 = -1/3Hence your required answer is -1/3Hope This Helps You!

Step-by-step explanation:

it might work

Answer:

I'm pretty sure it's 3

Step-by-step explanation:

h=3(V/πr2)

I just plugged it into this equation

Answer:

5⁰

Step-by-step explanation:

Angle on A STRAIGHT line sums up to 180⁰

angle PQR and angle RQS are both on a straight line therefore they sum up to 180⁰

4x+129+5x+6=180

then here you group like terms

4x+5x=150-129-6

9x=45

divide both sides by 9

9 dividing 45 is 5

Answer:

509

Step-by-step explanation:

formula

L = a + (n - 1)*d

Givens

n = 57

a = 5

d = 9

Solution

t = 5 + (57 - 1)*9

t = 5 + 56*9

t = 5 + 504

t = 509

t = 556

Answer:

26%

Step-by-step explanation:

Answer:

500 :)

Step-by-step explanation:

Answer:

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Step-by-step explanation:

The total area of the surface of a three-dimensional object. Example: the surface area of a cube is the area of all 6 faces added together

Answer:

12: 21 16:28

Step-by-step explanation:

4 pounds are equal to 7 packs. 4x3=12, and 7x3=21, and so on.

Answer:

n-6

Step-by-step explanation:

less than is subtraction

6 is taken away from n

n-6

Answer:

its 8

Step-by-step explanation:

Answer:

y = - 1.5x - 15

Step-by-step explanation:

Step 1:

- 3x - 2y = 30         Equation

Step 2:

- 2y = 3x + 30        Add 3x on both sides

Step 3:

y = - 1.5x - 15      Divide 2 on both sides

Answer:

y = - 1.5x - 15

Hope This Helps :)

Answer:   y = - 1.5x - 15

Step-by-step explanation:

First, we will add 3x to both sides of the equation.

-2y = 3x + 30

Next, we will divide 2 on both sides of the equation.

y = -1.5x - 15

Answer -  y = -1.5x - 15