The graph shows Dylan's motorcycle trip from his home to his friend's home in another city.
During which time interval did Dylan stop for lunch?
between hour 0 and 1
between hour 1 and 2
between hour 2 and 3
between hour 3 and 5

Answer:

y-4=4/5*(x+6)

Step-by-step explanation:

First you need to find the vaules for y-y₁=m(x-x₁) point slope form

y1 =4

x1=-6

m=4/5( because thats the slope)

Second plug in:

y-4 = 4/5(x+6)

done easy peesy :)

Answer:

The values of x that make the triangles congruent.

x = 6 and x = 3

Step-by-step explanation:

Given

Given that the triangles are congruent.

According to the SAS (Side-Side-Side)

AC = DC

AB = DB

so

AC = DC

substituting AC = 5x-2 and DC = 3x+10

5x-2 = 3x+10

5x-3x = 10+2

2x = 12

divide both sides by 2

2x/2 = 12/2

x = 6

and

AB = DB

substituting AB = 5x and DB = 4x+3

5x = 4x+3

5x-4x = 3

x = 3

Therefore, the values of x that make the triangles congruent.

x = 6 and x = 3

Answer:

Number of units of first product = 112

Number of units of second product = 400

Step-by-step explanation:

Given that there are two products which are to be shipped.

First product details:

Unit volume = 10 cu ft

Weight of one unit = 50 lb

Second product details:

Unit volume = 3 cu ft

Weight of one unit = 40 lb

Total volume that can be carried by a truck = 2320 cu ft

Total weight that can be carried by a truck = 21600 cu ft

To find:

The number of units of each product that can be transported in one shipment in the truck?

Solution:

Let number of units of first product = [tex]x[/tex]

Let number of units of second product = [tex]y[/tex]

We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.

As per question statement, the equations can be written as:

[tex]10x+3y = 2320 ...... (1)\\50x+40y = 21600\\\Rightarrow 5x+4y = 2160...... (2)[/tex]

Multiplying equation (2) with 2 and subtracting equation (1) from it:

[tex]8y - 3y = 4320-2320\\\Rightarrow 5y = 2000\\\Rightarrow \bold{ y = 400}[/tex]

By equation (1):

[tex]10x+1200 = 2320\\\Rightarrow 10x = 1120\\\Rightarrow \bold{x = 112}[/tex]

Answer is:

Number of units of first product = 112

Number of units of second product = 400

Answer:

Their expenses and sales will both equal at 200 ounces.

Step-by-step explanation:

This can be determined using the break-even point in ounce formula as follows:

Break even point in ounce = Fixed cost / Contribution per ounce

Where;

Fixed cost = Advertising = $600

Contribution per ounce = Selling price per ounce - Cost per ounce = $4 - $1 = $3

Substituting the values into equation (1), we have:

Break even point in ounce = $600 / $3 = 200 ounces

Therefore, their expenses and sales will both equal at 200 ounces.

Answer:

5/8

Step-by-step explanation:

Aquí, queremos encontrar la suma al infinito de la progresión geométrica, dado el primer término y la razón común Matemáticamente, eso sería;

S = a/1-r

S = 1/2/(1-1/5)

S = 1/2/4/5

S = 1/2 * 5/4

S = 5/8

Answer:

μₓ = 36,000 dollars

σ ₓ= 1,000 dollars

Step-by-step explanation:

to find μₓ = 36,000 dollars:

Look in the question, it states that the mean is $36,000.

to find σ ₓ= 1,000 dollars:

[tex]\frac{3000}{\sqrt{9} } = 1000[/tex]

The mean and standard deviation of the sampling distribution is $36000 and $1000.

What is Standard Deviation?

The term "standard deviation"  refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

The mean and the standard deviation of the sampling distribution of the sample mean:

Mean, [tex]\mu[/tex] = $36000

[tex]\sigma[/tex] = 3000

n = 9

So, standard deviation of the sampling distribution

=  [tex]\sigma[/tex] / √n

= 3000 / √9

= 3000/3

= 1000

Hence, Mean = $36,000 and standard deviation = $1000.

Learn more about Standard deviation here:

https://brainly.com/question/21274500

#SPJ5

9514 1404 393

Answer:

  0.0802

Step-by-step explanation:

  8.02 × 10^-2

  = 8.02 × 0.01

  = 0.0802

_____

Your scientific or graphing calculator, or any spreadsheet, can convert number formats for you.

Answer:

i believe the answer 602

Step-by-step explanation:

tell me if im wrong but hoped I helped:)

Answer:

602

Step-by-step explanation:

hope it helps

Answer:

its many solutions

Step-by-step explanation:

Answer:

y = - 3x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x - 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (3, 2) into the partial equation

2 = - 9 + c ⇒ c = 2 + 9 = 11

y = - 3x + 11 ← equation of perpendicular line

Answer:

D) y =   -2

The equation of the perpendicular line to the given line is  y = -2

Step-by-step explanation:

Explanation:-

Given point (-3,-2)

In graph the equation of line  x = 8 ( parallel to y- axis )

                              1 x + o y - 8 =0

The equation of the perpendicular line to the given line  

                        b x - a y + k =0

                       o x - 1 y + k =0 ...(i)

The equation (i) is Paases through the point ( -3,-2)

                        0 ( -3) -1(-2) + k =0

                               2 + k =0

                                     k = -2

∴The equation of the perpendicular line to the given line  is

     put k = -2 in equation (i)    

                        o x - 1 y + k =0

                      - y +(-2) =0

                       - y = 2

                         y = -2

Final answer:-

∴The equation of the perpendicular line to the given line is  y =-2

Answer:

The solution is possible

Step-by-step explanation:

Given

[tex]f(x) = 5 * 2^x[/tex]

Required

Is an output of 200, possible?

To know if it is possible or not, we start by substituting 200 for f(x)

[tex]200 = 5 * 2^x[/tex]

Divide both sides by 5

[tex]\frac{200}{5} = \frac{5}{5} * 2^x[/tex]

[tex]\frac{200}{5} = 2^x[/tex]

[tex]40 = 2^x[/tex]

[tex]2^x =40[/tex]

Take logarithm of both sides

[tex]log2^x =log40[/tex]

Apply law of logarithm

[tex]xlog2 =log40[/tex]

Divide both sides by log2

[tex]x = \frac{log40}{log2}[/tex]

[tex]x = \frac{1.6021}{0.3010}[/tex]

[tex]x = 5.32[/tex]

for f(x) = 200, x is approximately 5.32

Hence, the solution is possible

Answer:

10

Step-by-step explanation:

i think its 10 maybe cuz if u see

the perimeter of a rectangular room is 52 feet. right?

then then height is 2 more than the width. what is the width of the room? so am I right copying the question? yes the question is right copied ok!

now see when u subtract 2 from 12 it gives u 10 and length i as 2 more than the width so maybe 10

Answer:

The trucker was cited for speeding because his speed was above that of the speed limit of the toll road by 14.5mph

Step-by-step explanation:

Step 1

We calculate the speed of the trucker

Speed = Distance(miles)/Time(hours)

Distance = 159 miles

Time = 2 hours

Speed = 159 miles/2 hours

Speed = 79.5 miles per hour = 79.5 mph

From the question, we are told that: that toll road has a speed limit of 65mph

Step 2

We calculate the difference

= 79.5 mph - 65 mph

= 14.5 mph

Hence, the trucker was cited for speeding because his speed was above that of the speed limit of the toll road by 14.5mph

Answer:

i think c

Step-by-step explanation:

Answer:

Its either A or C, but I would go with C

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Answer:

x = (c - k) / 3

Can you insert an image or retype the question, it is hard to read with the information that is incorrectly placed.

Answer:

Graph.

y=−1/3x+3

y

=

−

1

3

x

−

1

Step-by-step explanation:

Answer:

9.8

Step-by-step explanation:

The crew worked for 4 1/5 days

They built 2 1/3 kilometres of road each day

Therefore the total length of the road can be calculated as follows

= 4 1/5 × 2 1/3

= 21/5 × 7/3

= 147/15

= 9.8

Hence the length of the road is 9.8 kilometres

Answer:

Step-by-step explanation:

The equation of a line is y=mx+b

We currently have y=-2x-5, where the slope is -2

A parrallel line would have the same slope, so also -2

Any equation that has a slope, or m of -2 would be parallel!

I hope this helped! :)

Answer:

2,4

Step-by-step explanation:

because i said so

Answer:

orange = 9 sticks

Red = 23 sticks

Step-by-step explanation:

orange = x

Red = y

x + y = 32

There are 5 more red sticks than twice the number of orange sticks

y = 2x + 5

x + y = 32

x + 2x + 5 = 32

3x = 32 - 5

3x = 27

x = 27/3

x = 9 sticks

y = 2x + 5

= 2(9) + 5

= 18 + 5

y = 23 sticks

orange = 9 sticks

Red = 23 sticks

Step-by-step explanation:

Volume of cylinder

πr²h = π×(12)²×(18)

Choco : Vanilla : Strawberry

3 : 2 : 1

to find volume of strawberry,

[tex] \frac{1}{6} \times volume \: of \: cylinder[/tex]

then use your calculator

Answer:

m=-5

b=6

Step-by-step explanation:

Sorry I didn't see the second part before.