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3 years ago

Interpret the meaning of the point (9, 378).

Mathematics

1 answer:

lions [1.4K]3 years ago

7 0

Answer:

it means the the line falls on 9 on the x-axis

and intersects at 378 on the y-axis

Step-by-step explanation:

hope that helped

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6. A sporting goods store receives an order of 100 baseball caps, of which 22 are green. If 1 of

Taya2010 [7]

Answer:

$\text{A. }39/50$

Step-by-step explanation:

The probability that a randomly selected cap will not be green is equal to the number of non-green caps divided by the total number of caps.

Since there are 100 caps total and 22 are green, there must be $100-22=78$ non-green caps.

Divide this by the total number of caps (100) to get the probability that a randomly selected cap will not be green:

$\frac{78}{100}$

Simplify by dividing both the numerator and denominator by 2:

$\frac{78}{100}=\boxed{39/50}$

6 0

3 years ago

Use the fundamental identities and appropriate algebraic operations to simplify the following expression. (18 +tan x) (18-tan x)

andrezito [222]

Answer:

a) $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)=325$

b) The lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

Step-by-step explanation:

a) To simplify the expression $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)$ you must:

Apply Difference of Two Squares Formula: $\left(a+b\right)\left(a-b\right)=a^2-b^2$

$a=18,\:b=\tan \left(x\right)$

$\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)=18^2-\tan ^2\left(x\right)=324-\tan ^2\left(x\right)$

$324-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Apply the Pythagorean Identity $1+\tan ^2\left(x\right)=\sec ^2\left(x\right)$

From the Pythagorean Identity, we know that $1=-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Therefore,

$324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325$

b) According with the below graph, the lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

3 0

3 years ago

Find the value of x.

nikklg [1K]

Answer:

x = 13

Step-by-step explanation:

Sum or interior angles of a triangle is 180,

6x + 19 + 5x - 15 + 3x - 6 = 180

6x + 5x + 3x + 19 - 15 - 6 = 180

14x + 19 - 21 = 180

14x - 2 = 180

14x = 180 + 2

14x = 182

x = 182 / 14

x = 13

5 0

3 years ago

Bob can dig holes and plant 15 trees in 60 minutes. George can accomplish this same task in 120 minutes. If they work together,

yan [13]

Answer:

Step-by-step explanation:

7 0

3 years ago

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What is the predecessor of 100000

krok68 [10]

Answer:

99,999

Step-by-step explanation:

8 0

2 years ago