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A boat travels at a rate of 30 miles per hour for 3.5 hours. Let y be the distance, in miles, the boat travels for a given amount of time, x, in hours. This situation can be modeled by a linear function. What is the domain of the function?

Question 11 options:

0≤y≤30

0≤y≤3.5

0≤x≤3.5

0≤x≤30

Answer:

Answer is C noumber

Step-by-step explanation:

We know that a combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter. It is denoted by C(n,k) or (n,k) or (n/k).

The formula for the number of combinations of n things taken r at a time is given by :-

C(n,k)=(n/k)=\frac{n!}{k!(n-k)!}C(n,k)=(n/k)=

k!(n−k)!

n!

Hence, C is the right option.

Answer: 8100 cm2

Step-by-step explanation:

First find radius

Area of semi circle = Pi*r2 / 2

7700 = 22/7 * r2/2

r2 = 7700 * 7 * 2 / 22

r2 = 700 * 7

r = square root of 7*7*10*10 ( I converted 700 into simpler numbers)

r = 7 x 10

r = 70 cm

Perimeter = r(Pi + 2)

= 70 ( 22/7 + 14/7)

= 70 * 36/7

= 360 cm

Let us take side of square as “x”

4x = 360

x = 360 / 4

x = 90

Area of square = side * side

= 90 * 90

= 8100 cm2

A semicircle is simply the half of a complete circle, and it can be gotten by dividing the circle through its center into equal halves.

The area of the enclosed square wire is 3025 square meters

The given parameters are:

[tex]\mathbf{Area= 7700cm^2}[/tex]

The area of a semicircle is

[tex]\mathbf{Area= \frac{\pi r^2}{2}}[/tex]

Substitute 7700 for Area

[tex]\mathbf{\frac{\pi r^2}{2} = 7700}[/tex]

Express pi as 22/7

[tex]\mathbf{\frac{22 \times r^2}{7 \times 2} = 7700}[/tex]

Divide through by 22

[tex]\mathbf{\frac{r^2}{7 \times 2} = 350}[/tex]

Multiply both sides by 14

[tex]\mathbf{r^2 = 4900}[/tex]

Take square roots of both sides

[tex]\mathbf{r = 70}[/tex]

Next, calculate the circumference of the semicircle

[tex]\mathbf{C = \pi r}[/tex]

So, we have:

[tex]\mathbf{C = \frac{22}{7} \times 70}[/tex]

[tex]\mathbf{C = 220}[/tex]

This means that the length of the wire is 220 meters.

This also represents the perimeter of the square.

The perimeter of the square is calculated using:

[tex]\mathbf{P = 4L}[/tex]

Where L represents the side length

So, we have:

[tex]\mathbf{4L = 220}[/tex]

Divide both sides by 4

[tex]\mathbf{L = 55}[/tex]

The area of the enclosed square is then calculated using:

[tex]\mathbf{Area = L^2}[/tex]

So, we have:

[tex]\mathbf{Area = 55^2}[/tex]

Evaluate the square

[tex]\mathbf{Area = 3025}[/tex]

Hence, the area of the enclosed square wire is 3025 square meters

Read more about areas at:

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Answer:

The slope of the model represents the amount of snow(in inches) added to the ground per hour

the y-intercept represents the beginning amount of snow already on the ground

Step-by-step explanation:

Answer:

  CD = 32 units

Step-by-step explanation:

The midpoint divides the segment into congruent parts:

  CM = MD

  8(x -2) = 4(5x -16)

  2(x -2) = 5x -16 . . . . . . divide by 4

  2x -4 = 5x -16 . . . . . . . eliminate parentheses

  12 = 3x . . . . . . . . . . . . . add 16-2x to both sides

  4 = x . . . . . . . . . . . . . . . divide by 3

Then the segment measures are ...

  CM = 8(x -2) = 8(4 -2) = 16

CD is twice that length. CD = 32 units.

_____

Additional comment

There are many ways to solve equations like this. The one usually recommended is to simplify it first. That generally means eliminating parentheses and collecting terms. Doing that would give ...

  8x -16 = 20x -64

Since there is a common factor of 4 on both sides, we can divide by that, making the numbers smaller and eliminating one set of parentheses.

Of course, the properties of equality require that whatever operation you perform on one side of the equal sign must also be done on the other side. So "divide by 4" means "divide by 4 on each side of the equal sign."

Answer:

Step-by-step explanation:

3x+2y=12   x= −2/ 3 y+4

3x-y=3    x= 1 /3 y+1

i hope this helps in anyway :/

The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

If it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Given that the system of linear equations;

3x + 2y = 12 and 3x − y = 3 is

Solving the equations by elimination, we get

x = 2 and y = 3

Hence, The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

For more reference on Linear Equation, click;

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Answer:

y= 2x -9

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

[tex]\boxed{slope = \frac{ y_{1} - y_2}{x_1 - x_{2}} }[/tex]

Slope

[tex] = \frac{ - 1 - ( - 5)}{4 - 2} [/tex]

[tex] = \frac{ - 1 + 5}{2} [/tex]

[tex] = \frac{4}{2} [/tex]

= 2

Substitute m= 2 into the equation:

y= 2x +c

To find the value of c, substitute a pair of coordinates.

When x= 4, y= -1,

-1= 2(4) +c

-1= 8 +c

c= -1 -8

c= -9

Thus, the equation of the line is y= 2x -9.

Answer:

1. 180°

2. m∠AOB

3. 60° + 90 ° + 30 ° = 180 °

4. x = 15

Step-by-step explanation:

Reason for number 1:

All straight lines are 180°

Reason for number 2:

These angles all add up to 180° and the line with this angle is m∠AOB.

Answer:

5, 7, and 12

Step-by-step explanation:

First we can make and equation

x + z + y = 24

we can plug in the numbers you gave us giving us

y = x + z

z = y - x

x = (y - 2) ÷ 2

Once, were done we get that x = 5 ≈ smallest number

z = 7 ≈ second largest number

y = 12 ≈ largest number

Answer:

8. 124 degrees

9. 48 degrees

10. 55 degrees

11. 120 degrees

12. 50.5 degrees

13. 118.7 degrees

Answer:

6.25 is the exact number, but you should round it to 6

Step-by-step explanation:

150/24=6.25.

It also equals 6 if you round it.

Answer:

No The correct Answer is "G"

Step-by-step explanation:

First lets find 300% as a number which is 3 ok so now

increase 10 by 300%

so 100%+300%=400%

and half of 400 which is 200%

so H is no correct g is

Answer:

27 / 4x^6y^8.

Step-by-step explanation:

= 4 * 3^3 x^6 y^12 / 16 x^12 y^20

= 4*27 / 16 x^6y^8

= 4*27/ x^6y^8

= 27 / 4x^6y^8

Answer:

5. 8 months

6. 13 pencils

Answer:

2.5

Step-by-step explanation:

Length of CB is 5

so we can take CF which is the midpoint and divide that by 2 since its split

 846

Step-by-step explanation:

Answer:

Commutative Property

The way you group numbers when adding or multiplying does not affect the result.

Reflexive Property

he order in which you add or multiply numbers does not affect the result.

Step-by-step explanation:

Answer:

1+1=2....................

1 + 1 = 2

If we have one apple and get another apple, then we now have 2 apples.

We can also do the reverse to confirm our answer:

1 = 2 - 1

1 = 1

Which is true.

It is also not a matter of easy or not, this may be easy for us but hard for a baby.

I hope this helps! :)

Answer:

use the Microsoft world language to define noun phrases and figure of speech

Answer:

It is Positive 92

Step-by-step explanation:

-71 + 92 = 21

Answer: it don't show the picture for me but can i plz have brainliest i never had it

Step-by-step explanation:

Answer:

tan A = 8/15

sin A = 8/17

cos A = 15/17

Step-by-step explanation:

Follow "SOH-CAH-TOA"

SOH---> sin A = (opposite of the angle mentioned) / hypotenuse

CAH---> cos A = (adjacent of the angle mentioned) / hypotenuse

TOA---> tan A = (opposite of the angle mentioned) / (adjacent of the angle mentioned)

Note: Hypotenuse is the side opposite of 90° of a right-angled triangle.

Answer:

The other leg is √65 cm

Step-by-step explanation:

Hi there!

We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm

We want to find the measure of the other leg

In right triangles, we can use the  theorem to find the value of a side, if we know the lengths of the other two sides

The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse

If we say a is 4 and c is 9, then the equation will look like this:

(4)²+b²=(9)²

Raise each number to the second power

16 + b²= 81

Subtract 16 from both sides

b²=65

Take the square root of 65

b=√65, -√65

-√65 is not an applicable root for this problem, since distance cannot be negative

Hence, our answer is √65 cm

Hope this helps!

Answer:

6applies

Step-by-step explanation:

because 24 apples+6=30 right right right

The given properties would be most useful as a machinery lubricant.

We are given the chemical and physical properties of the unknown substance as follows;

Now, some of the properties of machinery lubricants are;

These properties of Machinery Lubricants are same as the given properties. Thus, we conclude that the properties would be most useful as a machinery lubricant.

Read more about chemical substance properties at; https://brainly.com/question/672293

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Complete question is;

High viscosity at higher temperatures

unreactive with other substances

liquid at high temperatures

organic compound

poor conductor of electricity

Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n)

A) machinery lubricant.

B) heat insulator in a home.

C) internal combustion engine fuel.

D) electrical conductor in a computer circuit.

Answer:

y=3/5x + 2

Step-by-step explanation:

y-(-1)=3/5(x-(-5))

y+1=3/5(x+5)

5y+5=3x+15

5y=3x+10

y=3/5x+2