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rosijanka [135]
3 years ago
5

a library has a ratio of 5:3 fiction books to non-fiction bookd if the library has 150 ffiction books how many non-fiction books

are there?
Mathematics
1 answer:
KiRa [710]3 years ago
8 0
The library would have 90 non-fiction books.
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The midpoint of KL is M (-8,1). One endpoint is K (-6,5) find the coordinates of the other endpoint L
PSYCHO15rus [73]

Answer:

Midpoint (x , y) of two points is

( x1 + y1/2 , x2 + y2/2)

Midpoint of KL is M ( -8 , 1)

Let the coordinates of L be ( a , b)

From the above definition

Midpoint between K(-6 , 5) and

L ( a ,b) is

(-8 , 1) = ( -6+a/2 , 5+b/2)

Comparing first point with - 8

- 8 = -6 + a /2

Multiply through by 2

We get

-16 = - 6 + a

a = -16+6

a = - 10

Comparing the second point with 1

1 = 5+b/2

Multiply through by 2

2 = 5 + b

b = 2 - 5

b = -3

Therefore a = -10 and b = - 3

Hence the coordinates of

L is ( -10 , - 3)

Hope this helps

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3 years ago
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Ratling [72]

Answer:

I believe the answer is (A)

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Consider the function p(t) show.identify the intervals on which the function appears to be in increasing
WINSTONCH [101]

Answer:A

Step-by-step explanation:

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a. For what values of x does f (x )equals 3 x plus 3 sine x have a horizontal tangent​ line? b. For what values of x does f (x )
laila [671]

Answer:

(a)Therefore the value of x=\pi

(b) Therefore the value of x =\frac{\pi}{2}

Step-by-step explanation:

Horizontal tangent line: The first order derivative of a function gives the slope of the tangent of the function. The slope of horizontal line is zero.If the slope of tangent line is zero then the tangent line is called horizontal tangent line.

(a)

Given function is,

f(x)= 3x+3sin x

Differential with respect to x

f'(x)=3+3cos x

For horizontal tangent line, f'(x)=0

3+ 3 cos x= 0

⇒3 cos x=-3

⇒cos x=-1

⇒x = 180° =\pi

Therefore the value of x=\pi

(b)

Given that, the slope is 3.

Then,f'(x)=3

3+ 3 cos x= 3

⇒3 cos x= 3-3

⇒cos x=0

⇒x = 90° =\frac{\pi}{2}

Therefore the value of x =\frac{\pi}{2}

5 0
3 years ago
A savings account earns 6% simple interest per year. The principal is $800. What is the balance after 18 months?
vodomira [7]

Answer:

$72

Step-by-step explanation:

Interest= PNR

p = principal

n = number of years

r = rate of interest

i = 6% x 800 x 18/12

i = 72

7 0
3 years ago
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