30 PTS

a. 59
b. 36.9
c. 53.1
d. 30.1

The speed of the robot from the graph is m = 10 feet per minute

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let y represent the distance of the robot

Let x represent the time taken

Let the first point be P ( 1 , 10 )

Let the second point be Q ( 2 , 20 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

The slope of the line will give the speed of the robot

Substituting the values in the equation , we get

Slope m = ( 20 - 10 ) / ( 2 - 1 )

m = 10 feet per minute

Hence , the speed is 10 feet/min

To learn more about equation of line click :

https://brainly.com/question/14200719

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The complete question is attached below :

This graph shows the distance that a robot walks. What is the robot's speed?

Walking Time and Distance

2 3 4 5

Time (minutes)

A) 10 feet per minute

B) 5feet per minute

C) 30 feet per minute

D) 20 feet per minute

Step-by-step explanation:

l dont understand your question

is it 3 and a fifth or 31/5

Answer:

15

Step-by-step explanation:

just cause

Answer:

[tex]\mathbf{H_o : \mu = 12} \\ \\ \\ \mathbf{H_a: \mu \ne 12}[/tex]

Step-by-step explanation:

Given that:

The population mean μ =  12

By computing the null and alternative hypotheses, the correct set of hypotheses for this test is:

[tex]\mathbf{H_o : \mu = 12} \\ \\ \\ \mathbf{H_a: \mu \ne 12}[/tex]

This is a two-tailed test.

Answer:

the answer is 45 I believe because it is the same exact as j

Answer:

x + 3 y = 15

Step-by-step explanation:

line is paralle that means that coefficient next to x mand y must be the same

so the equation of the line will be

x + 3y = a

we have to find a, we know that line passes throgh (6,3) so

6 + 3 * 3 = a

a = 15

the line has an equation

x + 3 y = 15

Answer:

maybe is b

Step-by-step explanation:

but just wait to other people

Answer:

x = 26

2x = 52

(5x - 2) = 128°

Step-by-step explanation:

✔️According to the exterior angle theorem of a ∆, thus:

(5x - 2)° = 2x° + 76°

Solve for x

5x - 2 = 2x + 76

Collect like terms

5x - 2x = 2 + 76

3x = 78

Divide both sides by 3

x = 26

✔️2x

Plug in the value of x

2(26) = 52°

✔️5x - 2

Plug in the value of x

5x - 2 = 5(26) - 2

= 128°

Answer:

Xbox $544.00 sales tax: 38.08 after tax: 582.08

Airpods $125:00 sales tax: 8.75 after tax: 133.75

Answer:

Xbox before tax: $544.00

Sales Tax: 38.08

Total Price: $582.08

Airpods before tax: $125.00

Sales Tax: $8.75

Total Price: $133.75

Step-by-step explanation:

take .07 and multiply it by 544.00 and you get 38.08. Then add 38.08 and you get 582.08.

Then take .07 and multiply it by 125.00 and you get 8.75. Then add 8.75 to 125.00 and you get 133.75.

Answer:

D there are 20 more large dogs than small dog at the daycare

Answer: The answer is that the small dog amount is 73 so

60 medium sized dogs and 13 big dogs and 73 small dog

in total they are 146.

Answer:

3,600,000,000

Step-by-step explanation:

if i understood this correctly, you just multiply 100,000,000 by 36 and you're done

Answer:

32 dollars

Step-by-step explanation:

Answer:

Evelyn earned $32.00 in 4 hours.

Step-by-step explanation:

To solve this question, just multiply 8 by 4.

8 x 4 =$32

Therefore, Evelyn earned $32.00 in 4 hours.

Hope this helps! :D

Answer:

The flight to Portland takes 10.6 hours.

Step-by-step explanation:

To find the time of flight to Portland we need to calculate the distance traveled by using the equation:

[tex] x = v*t [/tex]

Where:

v: is the speed = 204 mph (return flight)

t: is the time = 12 h (return flight)

[tex] x = v*t = 204 mi/h*12 h = 2448 mi [/tex]

Now, we can find the time of flight to Portland using v = 232 mph:

[tex]t = \frac{x}{v} = \frac{2448 mi}{232 mi/h} = 10.6 h[/tex]

Therefore, the flight to Portland takes 10.6 hours.

I hope it helps you!                      

Answer:

Positive roots = 1 or 0

Negative roots = 0, 2, or 4

Complex roots = 0, 2, 4, or 6

Step-by-step explanation:

We are given the polynomial:

f(x) = -x⁶ - x⁵ - x⁴ - 4x³ − 12x² + 12

Now, by inspection, the highest degree is 6 and as such the polynomial is therefore a polynomial with more than 2 as a degree.

Applying Descartes Rule of Signs to the polynomial :

f(x) = -x⁶ - x⁵ - x⁴ - 4x³ − 12x² + 12

Signs are: - - - - - +

There is only 1 sign change and thus, it means there is 1 or 0 positive roots

To find number of negative roots, we will use f(-x);

f(−x) = -(−x)⁶ - (−x)⁵ - (−x)⁴ - 4(−x)³ − 12(−x)² + 12(−x)

f(-x) = -x⁶ + x⁵ - x⁴ + 4x³ − 12x² - 12

Signs are: - + - + - -

There are 4 sign changes and thus, it means there are 4, 2 or 0 negative roots

Thus; Complex roots = 0, 2, 4, or 6

Answer:

99 + 34.99x = y

Step-by-step explanation:

initial fee of $99

multiply the monthly fee (34.99) and how many months he's a member (x)

add the initial fee and total of monthly payments to get total he will spend (y)

Answer:

the answer is -1/2

Step-by-step explanation:

Answer:

Based on the number of cookies each girl made and if Kristina and Liz made the same number of cookies, then Heather made 4.2 dozen cookies.

Step-by-step explanation:

In order to find the number of cookies that Heather made, you need to set up two equations that represent the number of cookies that Kristina and Liz each made.  Since Kristina made 2.4 dozen less than 6 times as many dozen as Heather, we can represent that with the equation  6c - 2.4.  Since Liz made 1.8 dozen more than 5 times as many dozen as Heather, we can represent that with the equation 5c + 1.8.  We can set both equations equal to each other since Liz and Kristina made the same number, so 6c - 2.4 = 5c + 1.8.  Solving for 'c', which represents how many dozen cookies Heather made, we get 4.2  

Answer:

20 ÷ 10 = 2

or

20 ÷ 2 = 10

Step-by-step explanation:

multiplication is the opposite of division

Answer:

See attachment :D

Step-by-step explanation:

y = 2/3x + 2

This is in slope-intercept form, y = mx+b. m is the slope, 2/3, and b is the y- intercept, 2. So you know the line intersects with the y-axis at (0,2). The slope is 2/3. So you can move up two points, then over three. Because it's a positive slope, you move right. This leaves you at point (0,3). Connect a line between these two points.

The line intersects with points (-3,0) and (0,2).

Hope this is helpful ^^ Good luck with your test :D

Answer: Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Answer: 4,000

Step-by-step explanation: 12,000 - 8,000 = 4,000 Hope it helped!! :)

Answer:

Step-by-step explanation:

perimeter of the given triangle = 16 + slant (10) + slant (10)

                                                   = 36 units  

(see image below)

Answer:

g = 21

h = 8

Step-by-step explanation:

3g + 5 + 6g - 14 = 180 (since they are adjacent angles and will equal 180)

Simplify to get g = 21.

Substitute 21 for g in 3g + 5 and set that equal to 9h - 4 and solve for h to get 8 (since they are opposite angles and will equal each other)

Answer:g=21 h = 8

Step-by-step explanation:

That's a rhombus supposedly so the opposite angles are congruent.

This means 9h-4=3g+5 Also the opposite sides of a rhombus add up to 180 degrees, so 3g+5+6g-14=180

9g=,189 g = 21

now plug this into the first equation

9h-4=3(21)+5

9h-4=63+5

9h=72

h=8

Answer:

2.5 feet

Step-by-step explanation:

20/8=2.5

Answer:

$3.20

Step-by-step explanation:

Answer:

He would make 300 dollars.

Step-by-step explanation:

15 x 5 = 75

75 x 4 = 300.

Answer:

answer is 300

Step-by-step explanation:

Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..

Hopes this help.

Answer:

b

Step-by-step explanation:

then it would be sss

Answer:

-51

Step-by-step explanation:

3-24+72=0

75-24=0

51=0