3 years ago

Directions: Read the following questions. Write the letter of the

Mathematics

2 answers:

kkurt [141]3 years ago

7 0

1.A
2D
3B
4B
5there isn’t picture there

12345 [234]3 years ago

3 0

Answer:

1. A

2.D

3.B (parallel lines)

4.B

5. i don't have a picture of the figure so i'm not sure

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A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rat

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Answer-

The insect population at the end of week 11 is 1730.

Solution-

A population of insects grows exponentially.

The general form of exponential function is,

$y=ab^x$

Where,

a, b are constants.

Putting the data given in the table, in the the equation in order to get the values of a, b

At (0, 20)

$\Rightarrow 20=ab^0$

$\Rightarrow a\cdot (1)=20$

$\Rightarrow a=20$

Now the exponential function becomes,

$y=20b^x$

At (1, 30)

$\Rightarrow 30=20b^1$

$\Rightarrow 20b=30$

$\Rightarrow b=\dfrac{30}{20}$

$\Rightarrow b=\dfrac{3}{2}$

Now the equation becomes,

$y=20(\frac{3}{2})^x$

For calculating the number of insects at the end of the 11th week, putting x=11, so

$y=20(\frac{3}{2})^{11}$

$=1729.95 \approx 1730$

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Answer:

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Step-by-step explanation:

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When dividing fractions you need to multiply the first fraction by the reciprocal of the second. You have done the opposite and multiplied the reciprocal of the first fraction by the second.

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Answer:

The correct answer is:

(a) 0.0884

(b) 0.0190

(c) 0.9596

(d) 0.2921

Step-by-step explanation:

(a)

= $P(1.26$

= $P(Z$

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(b)

= $P(2.05$

= $P(Z$

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= $0.0190$

(c)

= $P(-2.05$

= $P(Z$

= $0.9798-0.0202$

= $0.9596$

(d)

= $P(Z>0.55)$

= $1-P(Z$

= $1-0.7088$

= $0.2912$

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it is a iscoceles obtuse triangle

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