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3 years ago

SOS NEED HELP NOW WILL GIVE BRAINLYEST Identify the slope y=-1/2x+4

Mathematics

1 answer:

pantera1 [17]3 years ago

4 0

Answer: slope, m = -1/2(coefficient of x in the equation

Step-by-step explanation:

y=-1/2x+4

We will compare the equation with the slope intercept equation ,

y = mx + c

Where y is the dependent variable

m is the slope

x is the independent variable

c is the intercept. This is where the line on the graph cuts the y axis

For y=-1/2x+4,

the intercept ,c is 4

Slope = m =-1/2

-1/2 is a negative slope because negative sign. This means the plotted line moves from up to down

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What is a surface area of the cuboid with 4,5 and 9

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Answer:

SA = 202

Step-by-step explanation:

Surface area = Sum of all 6 areas of each side of the cuboid

SA = 2 (4·5 + 5·9 +9·4), because there are 2 of each kind of sides

SA = 2 (20+ 45 + 36)

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2 years ago

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3 years ago

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In a small Library there are five non-fiction books for every nine fiction book there are 130 Non-fiction books how many fiction

vova2212 [387]

Answer:

For 130 non-fiction books, the number of fiction books can be from 270 to 278.

Step-by-step explanation:

Given that, there are 5 non-fiction books for every 9 fiction books.

Observe that, if the number of fiction books is less than 9, than there will be no no-fiction books.

So, there are 5 non-fiction books for every 9 to (9+8) fiction books

So, by elementary method, there will be 5n non-fiction books for every 9n+8 fiction books, where n is a natural number.

Or, if the number of non-fiction books is 5n, then the number of fiction books will be ranging from 9n to (9n+8).

For, 150 non-fiction books, 5n=150 or n=150/5=30.

Hence, the number of fiction books can be from 9n to (9n+8).

=9x30 to (9x30+8)

=270 to 278.

Hence, for 130 non-fiction books, the number of fiction books can be from 270 to 278.

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3 years ago

Find a recurrence relation for the amount of money in a savings account after n years if the interest rate is 6 percent and $50

Korvikt [17]

Answer:

$a_n = a_{n-1} (1.06) + 50$

Step-by-step explanation:

Suppose, $a_0$ is initial amount in the saving account,

Here, the annual interest rate is 6% and additional amount in each year is $ 50,

So, the amount after one year,

$a_1 = a_0 + 6\%\text{ of }a_0 + 50 = a_0 + 0.06a_0 + 50 = a_0(1.06) + 50$

Amount after 2 years,

$a_2 = a_1 + 6\%\text{ of }a_1 + 50 = a_1(1.06) + 50$

Amount after 3 years,

$a_3 = a_2 + 6\%\text{ of }a_2 + 50 = a_2(1.06) + 50$

................................., so on....

Hence, by following the pattern,

The amount after n years,

$a_n = a_{n-1} (1.06) + 50$

Which is the required recurrence relation for the amount of money in a savings account

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3 years ago

Cassandra is creating an animated short film, and she needs 35 frames per second of film. He already has at least 200 frames.

scZoUnD [109]

Answer: C) f ≥ 35s - 200

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

She needs 35 frames (f) per second (s) ( we have to multiply the number of frames by the number of seconds) f ≥ 35s

She has already 200 frames (since we already have, we can subtract that to the needed frames per second)

f ≥35s -200

Feel free to ask for more if needed or if you did not understand something.

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3 years ago