What is the rate of change and y intercept

Answer:

What is the car's rate in kilometers per minute?

[tex]0.9\frac{km}{min}[/tex]

How many kilometers will the car travel in 5 minutes?

[tex]4.5\ km[/tex]

Step-by-step explanation:

If we know:

[tex]\frac{54\ km}{1\ hour}[/tex]

And there are 60 minutes in an hour:

[tex]\frac{1\ hour}{60\ minutes}[/tex]

We can do:

[tex]\frac{54\ km}{1\ hour} * \frac{1\ hour}{60\ minutes} = \frac{54\ km}{60\ minutes} = 0.9 \frac{km}{min}[/tex]

From here, we figure out the distance from minutes:

[tex]0.9\frac{km}{min} * 5 = 4.5\ km[/tex]

Answer:

a = [tex]\sqrt{68}[/tex] = 8.2

Step-by-step explanation:

Look at picture ↓

[tex]Hope[/tex] [tex]this[/tex] [tex]helps![/tex] [tex]:)[/tex]

Answer:

60

Step-by-step explanation:

You have the proper formula. You just need to swap some things around so we aren't solving for C. C is always the hypotenuse, the diagonal line opposite the right triangle. A and B can be either side unless specified.

1. The side we're solving for can either be called a or b. Let's call it A.

2. Now, switch around the theorem to solve for a: [tex]C^2-B^2=A^2\\[/tex]

3. Plug in what we know: [tex]8^2-2^2=a^2[/tex]

4. It simplifies down to [tex]60=a^2[/tex]

5. The  "[tex]a^2[/tex] " means to square the a. We need to undo that to get a by itself. The opposite of squared is the square root

6. This leaves us to take the square root of both sides, which isolates a.

7. [tex]\sqrt{60}[/tex] is the answer. It's asking for it in the square root so we don't need to simplify it.

Answer:

hi I need actually a lot of help with Matt since I'm not the best?

Answer:

37

Step-by-step explanation:

Linear pairs are supplementary (adds up to 180)

m∠1 + m∠2 = 180

3x + 4 + 2x - 9 = 180

5x - 5 = 180

5x = 185

x = 37

Hope this helps :)

Have a nice day!

Answer:

D

Step-by-step explanation:

Shift down 2 units, you want to make the graph only move in the y direction and take it back to the origin

The statement "The slope of the linear regression line can be calculated using any two points in the data." is always true for any two points.

Linear regression shows the relationship between two variables by fitting a linear equation to observed data. One variable is considered to be an explanatory variable, and the other is considered to be a dependent variable.

A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable.

Firstly, as per difinition the equation of linear regression line is

y= a + bx, where b is the slope of the line and a is intercept .

The formula to calculate the slope of the line be,

[tex]b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^{2}) - (\sum x)^2 }[/tex]

here n represent the number of data given in a question, x and y are the two points.

If we look at the formula with point x and y the slope can't be calculated.

Also, the equation of linear regression line , y= a+ bx also contain two points (x, y).

As per the discussion it is not possible to calculate the slope of linear regression line without two points.

Learn more about Linear regression line here:

https://brainly.com/question/17236116

#SPJ1

Answer:

135 choices

Step-by-step explanation:

5 choices for 1st dig

3 choices for 2nd dig

9 choices for third digit

5 x 3 x 9 = 135

Answer:

135

Step-by-step explanation:

But, for the last digit that is go from 0-9 except the 4

So it also depends on the range for the last digit

Hope this helped! :)

Answer:

104

Step-by-step explanation:

Simple addition:

Add the units place first:

2+2 = 4

Now add the tens together:

60+40= 100

Now add the 2 numbers together to give you 104.

Answer:

v=k+5

Kora is 13 yrs old when Venla is 18 yrs old

It's not entirely clear what the full instructions are, and I wish your teacher posted a diagram of figures A and B. However, I think I know what your teacher is after.

I'm assuming this is pertaining to similar polygons.

The larger figure has a side length of 88 ft and corresponds to the smaller side length of 11 ft. This is a scale factor of 11/88 = 1/8 = 0.125

What it means is that we multiply each larger side length by 1/8 or 0.125 to get the smaller corresponding side length. In other words, 88*(1/8) = 11

Square this linear scale factor to get the area scale factor

(1/8)^2 = (0.125)^2 = 0.015625

This value of 0.015625 is the area scale factor. We multiply this by the area of figure A to get

4928*0.015625 = 77

This is how your teacher got 77 as the final answer for figure B.

------------------------------------------------------

Admittedly this concept is a bit confusing at first.

Let's do another example.

Consider a 2 by 3 rectangle of area 2*3 = 6 square units.

Now apply a linear scale factor of 4 to quadruple each side. We get a 8 by 12 rectangle of area 8*12 = 96.

Notice the jump from 6 to 96 is "times 16" (since 96/6 = 16) and it's no coincidence that 16 is 4^2, i.e. the result of squaring the linear scale factor.

new area = (area scale factor)*(old area)

new area = 16*(old area)

new area = 16*6

new area = 96

This shows that 16 is the area scale factor.

The appropriate null hypothesis is (b) Flavor preferences are evenly distributed across all flavors

The distribution of the gum flavors is given as:

The sample size is given as:

Sample = 80

From the distribution of the gum flavor, we can see that the count of each flavor are not equal i.e. uneven

This means that we can use the following statement as the null hypothesis:

Flavor preferences are evenly distributed across all flavors

Hence, the appropriate null hypothesis is (b)

Read more about test of hypothesis at:

https://brainly.com/question/15980493

#SPJ1

Answer:

(-4 + 2 • h(4))^2

Step-by-step explanation:

h(4)h(4)

↓

h(4) • h(4) = (-4 +2 • h(4)) • (-4 +2 • h(4))

↓

Calculate

(-4+2× h(4)) × (-4+2× h(4))

Simplify using exponent rule with same base

a^n • a^m = a^n+m

(-4+2× h(4))^2

I hope this helps out.

Answer:

[tex]\displaystyle A =\frac{B*H}{2}[/tex]

Step-by-step explanation:

    To find the area of a triangle, we can use the formula of:

[tex]\displaystyle A =\frac{B*H}{2}[/tex]

    This formula comes from the area of a rectangle, because a triangle is half a rectangle.

How to find the area of a triangle?

Triangle :

A polygon which has three sides is called a triangle.

Formula :

Assume a rectangle ABCD and let the height be h and base be b.

If we draw a diagonal from one vertex, it will break the rectangle into two congruent or equal triangles. The area of each triangle is half the area of the rectangle.

The area of the triangle ABC is [tex]\dfrac{1}{2}[/tex] × base × height.

[tex] \star \small\boxed{ \rm{ Area \: of \: a \: triangle = \dfrac{1}{2} × Base × Height}} [/tex]

This formula comes from the area of a rectangle. A triangle is half as big as the rectangle that surrounds it, that is why the area of a triangle is one-half base times height.

Answer:

approx 8.5 cm

Step-by-step explanation:

Given:

Volume= 225 cm^2

Diameter= 10cm

∴Radius= 10/2= 5cm

Volume of cone= 1/3 pi r^2 h

(now substitute the values we know),

225 = 1/3 * pi * (5)^2 *h

225*3= 25*pi*h

675= 25*pi*h

675/25= pi*h

27= 22/7*h

h= 27* 7/22

h= 8.5 cm approx.

I have mentioned every minor step. Hope it helps!!

series: 125, 25, 5, ...

We can identify geometric series by:

√first term x third term = second term

√125 x 5 = 25

Hence this is a geometric series.

Common difference:

25 ÷ 5      or     125 ÷ 25

5                            5

The common difference is equal to 5.

Answer:

$5416.67

Step-by-step explanation:

If A valuable watch has an original price. It is sold for $5304 after its original price has been increased by 2% and then by 4%. The original price of watch is 5096.

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part

let the original price be x.

The selling price of watch is $5304 .

2% of $5304  is 2/100×5304=0.02×5304

=106.08

Now let us remove the 2% from the selling price of the watch.

$5304 - 106.8 =5197.2

4% of $5197.2 is 4/100×5197.2=0.04×5197.2

=207.888

So Selling price of watch minus percentage in increase is the original price

5304-207.888=5096.1

Hence if a valuable watch has an original price. It is sold for $5304 after its original price has been increased by 2% and then by 4%. The original price of watch is 5096.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Answer:

120

Step-by-step explanation:

because its parallel to 3 and if its a reflection or rotation of it it would be the same so it would be 120 degrees

Answer:

45:4 or 4:45

Step-by-step explanation:

Depends on which

Answer:

Length: 8 cm

Width: 2 cm

Step-by-step explanation:

Check the attachment.

Answer:

A

Step-by-step explanation:

Y intercept is -3

Rise 2 run 1

Answer:

The answer is:

[tex](56 - 28 \sqrt{3} )m[/tex]

Step-by-step explanation:

Let the broken part is (x) m

so other part is (14-x) m

[tex] \sin(60) = \frac{14 - x}{x} [/tex]

[tex] \sin(60) = \frac{ \sqrt{3} }{2} [/tex]

[tex] = x = (56 - 28 \sqrt{3} )m[/tex]

The volume of the sphere is the amount of space in it, and the value closest to the radius is 3.5 cm

The volume is given as:

V = 179.6

The volume is calculated using:

V = 4/3πr³

So, we have:

4/3πr³ = 179.6

Multiply both sides by 3/4

πr³ = 134/7

Divide both sides by π

r³ = 42.88

Take the cube root of both sides

r = 3.5

Hence, the value closest to the radius is 3.5 cm

Read more about sphere at:

https://brainly.com/question/10171109

Answer:

Coefficient

Step-by-step explanation:

5 is the Coefficient for x

Answer:

The answer is three

Step-by-step explanation:

The formula to find the area is the width times the length. The area of the big rectangle is three times more than the smaller rectangle.

The equation that can be used to find the value of x is (2.5x+1.5)4=36, and the value of x is 3.

The area of a rectangle is the product of its length and breadth. It is given by the formula,

Area of rectangle  =  Length × width

Given the length of the rectangle is 2.5x+1.5, while the width is 4. Also, it is mentioned in the question that the area of the rectangle is 36 square units. Therefore, we can write the area of the rectangle as,

[tex](2.5 x+1.5) \times 4 = 36\\\\(2.5 x \times 4) +(1.5\times 4) = 36\\\\10x + 6=36\\\\x = \dfrac{36-6}{10}\\\\x = 3[/tex]

Hence, the equation that can be used to find the value of x is (2.5x+1.5)4=36, and the value of x is 3.

Learn more about Area of Rectangle:

https://brainly.com/question/20693059

#SPJ1

Answer:

the answer to your question is 9 miles

Answer:

Step-by-step explanation:

With the tail wind the total speed is the sum of the speeds of plane and wind.

When into wind the total speed is the difference of speeds of plane and wind.

The first equation is

The second equation is

Simplify both equations and solve the system

Solve by elimination, add up the equations

Find the value of w

I believe that the answer is 21.48

The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.

We have,

The formula for the circumference (C) of a circle is:

C = 2πr

where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.

In this case, the radius of the rug is 3.5 feet, so we can calculate the circumference as:

C = 2 × 3.14 × 3.5 = 21.98 feet

Therefore,

The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.

Learn more about circumference of a circle here:

https://brainly.com/question/26605972

#SPJ2

Answer:

110 pages

Step-by-step explanation:

Let number of pages read on 1st day = x

-> No. of pages read on 2nd day = 2x

& No. of pages read on 3rd day = x - 6

Total no of pages read = 458

-> x + 2x + x - 6 = 458

-> 4x - 6 = 458

-> 4x = 458 + 6

-> 4x = 464

-> x = 464/4

-> x = 116

No of pages read on third day = x - 6 = 116 - 6 = 110