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2 years ago

The point (12.-5) is how many units away from the origin

Mathematics

1 answer:

sweet [91]2 years ago

7 0

Answer: it 13 units

Let M (-12, 5) be the given point and O (0, 0) be the origin. = 13 units.

Step-by-step explanation:

hope this helps have a nice night ❤️❤️❤️❤️

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If y = 12 x – 12, determine the value of y when x = –16.

GrogVix [38]

Answer:

Step-by-step explanation: y=180

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2 years ago

Can I have help? With this it’s due today and it’s really hard high school level

Anna007 [38]

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explaination:
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2 years ago

Read 2 more answers

Derek found a function that approximately models the population of iguanas in a reptile garden, where x represents the number of

serious [3.7K]

Answer:

$i(x)=12 \times (1+\frac{0.9}{12})^{12x}$ and growth rate factor is 0.075

Step-by-step explanation:

The function that models the population of iguanas in a reptile garden is given by $i(x)=12 \times (1.9)^{x}$ , where x is the number of years.

Since, $i(x)=12 \times (1.9)^{x}$

i.e. $i(x)=12 \times (1+0.9)^{x}$ .

Therefore, the monthly growth rate function becomes,

i.e. $i(x)=12 \times (1+\frac{0.9}{12})^{x \times 12}$ .

i.e. $i(x)=12 \times (1+\frac{0.9}{12})^{12x}$ .

Hence, the monthly growth rate is i.e. $i(x)=12 \times (1+\frac{0.9}{12})^{12x}$ .

Also, the growth factor is given by $\frac{0.9}{12}$ = 0.075.

Thus, the growth factor to nearest thousandth place is 0.075.

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2 years ago

PLease help me with this!

astraxan [27]

Answer:

1. x2 - 9 > 0

x^2-3^2>0

(x+3)(x-3)>0

(x+3)>0 and (x-3)>0

x>-3 and x>3

2. x2 - 8x + 12 > 0

x^2 - 8x +12>0

x^2 -2x -6x +12 >0 (-8x is replaced by (-2x) + (-6x) )

x(x-2) -6(x-2) >0

(x-6)(x-2)>0

(x-6)>0 and (x-2)>0

x>6 and x>2

3. -x2 - 12x - 32 > 0

-x^2 -12x -32 >0

x^2 +12x +32 <0

x^2 +4x +8x +32<0

x(x+4) +8(x+4)<0

(x+8)(x+4)<0

(x+8)<0 and (x+4)<0

x<-8 and x<-4

4. x2 + 3x - 20 >= 3x + 5

x^2 +3x -20 >= 3x +5

x^2 +3x -20 -3x >= 3x +5 -3x

x^2 -20 >= 5

x^2 -20 +20 >= 5 +20

x^2 >=25

x^2-25 >=0

(x-5)(x+5)>=0

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2 years ago

Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card an

poizon [28]

Answer:

We have that $B = 0.3$ .

$0.3 = b + (A \cap B)$

However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.

Step-by-step explanation:

Event A:

Probability that a student has a Visa card.

Event B:

Probability that the student has a MasterCard.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a student has a Visa card but not a MasterCard and $A \cap B$ is the probability that a student has both these cards.

By the same logic, we have that:

$B = b + (A \cap B)$

In this problem, we have that:

$A = 0.6, B = 0.3$

(a) Could it be the case that P(A ∩ B) = 0.5?

We have that $B = 0.3$ .

$0.3 = b + (A \cap B)$

However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.

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3 years ago