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3 years ago

Evaluate f(-2) if f(x)=-3x^2-1

Mathematics

1 answer:

Pani-rosa [81]3 years ago

4 0

f(x)=-3x^2-1

f(-2)= -3(-2)²-1=-3·4-1= - 13

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involving flipping a fair coin. Assume that the coin is flipped 9 times. What is the probability that both heads and tails occur

alexgriva [62]

The probability would occur 9 times

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2 years ago

A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

scZoUnD [109]

Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

2 years ago

A group pre-orders 12 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket cos

Sav [38]

404 is the answer. if you add them all together

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3 years ago

Julie buys a pair of jeans that cost $39. If they have a 25% discount, what is the sale price of the jeans?

NISA [10]

Answer:

$29.25

Step-by-step explanation:

39 x .25 = 9.75

39 - 9.75 = 29.25

5 0

2 years ago

How are fractions and decimals related?

Savatey [412]

Fractions and decimals are related in a very close way. Ways such as they are both representing a whole number.

for example

1/2 , 0.5 , 50%

all three numbers have the same value but are expressed in a different format. all three represent the same whole number.

another example would be

1/4 , 0.25 , 25%

hopefully this helped. and or makes sense.

LET ME KNOW :p

7 0

3 years ago