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3 years ago

The points in the table lie on a line. Find the slope of the line

Mathematics

1 answer:

8090 [49]3 years ago

5 0

Answer:

1/2

Step-by-step explanation:

Pick two of the x's and y's

The first two columns in the table, the x's are -2 and 0 and the y's are 3 and 4.

The x value changes as a +2 and the y value changes from a +1 from the first two columns. Put the +2 as the denominator and the +1 as the numerator. 1/2

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What is the exact remainder of 209÷47

Elena L [17]

The exact remainder of 209 / 47 = 4.446808511.

Hope this helps.

<em>~ ShadowXReaper069</em>

3 0

3 years ago

Read 2 more answers

Cindy works at Jurassic Park and has been tasked to design a container in the shape of a rectangular prism for the incoming baby

svetoff [14.1K]

The amount Cindy should increase in each dimension of the scaled model is 12 m.

<h3>What is a rectangular prism?</h3>

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

We have:

The scaled model of the container has dimensions 2m by 4m by 6m.

Volume of the scaled model = 2×4×6 = 48 cubic m

Let x be the amount by which each dimension is increased.

(2 + x)(4 + x)(6 + x) = 84(48)

$\rm 48+44x+12x^2+x^3=4032$

$\rm x^3+12x^2+44x-3984=0$

$\rm x-12=0\quad \mathrm{or}\quad \:x^2+24x+332=0$

The quadratic equation has no real solution so,

x = 12 m

Thus, the amount Cindy should increase in each dimension of the scaled model is 12 m.

Learn more about the rectangular prism here:

brainly.com/question/21308574

#SPJ1

6 0

2 years ago

The total temperature change over 3 days in gritty city was -6 celsuis What was the average temperature change each day?

Tanya [424]

-2 celsuis would be the answer

6 0

3 years ago

Read 2 more answers

Bobby and Rick are in a 16-lap race on a one-mile oval track. Bobby, averaging 94 mph, has completed six laps just as Rick i

Reptile [31]

Answer: Hello!

first let's note the things we already know:

there is a 16- lap race and the oval has one mile of length, then each of the laps has a length of one mile, and the whole race has 16 miles in total

Bobby averages 94 mph and already did 6 laps ( or 6 miles)

then we could write the Bobby equation as B(t) = 6 miles + 94mph*t

where t represents the time in hours.

now we could see how much time Bobby needs to end the race:

B(x) = 6mi + 94mph*x = 16mi

94mph*x = 16mi - 6mi = 10mi

x = (10/94)h = 0.106h

so Bobby needs 0.106 hours to finish the race, and we want to know which velocity Rick should have in order to reach the end of the race at the same time as Bobby.

Rick is starting the race, so he needs to do 16 miles in 0.106 hours, and as we know velocity is distance over time; so the average velocity of Rick is:

V = 16mi/0.106h = 150.9mph

Now let's see the hint:

Bobby does 8 miles in:

94*t = 8

t = 8/94 = 0.085 hours

and Rick does 10 miles in:

150.9*t = 10

t = 10/150.9 = 0.066 hours

wich is clearly different times, so maybe the hint is wrong.

5 0

3 years ago

Factorise x(6x - 5y) - 4(6x - 5y)^2

Fed [463]

Answer:

(6x-5y)(20y-23x)

Step-by-step explanation:

x(6x - 5y) - 4(6x - 5y)^2

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

= (6x-5y)(x-24x+20y)

= (6x-5y)(20y-23x)

5 0

3 years ago