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3 years ago

Find the value of x in each case, please help

Mathematics

1 answer:

Fed [463]3 years ago

5 0

Answer:

sorry don't know

Step-by-step explanation:

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

3 years ago

Estimate the product of -3.33 and 0.199 using the compatible numbers -3 and 0.2. Find the exact product of -3.33(0.199).

posledela

Answer:

-0.6

-0.66267

Step-by-step explanation:

Estimating the product :

Using compatible number :

-3 * 0.2

__ 0.2

* ___-3

______

_ - 0.6

______

-3 * 0.2 = 0.6

The exact product :

-3.33(0.199).

Using calculator :

-3.33(0.199) = - 0.66267

6 0

3 years ago

Read 2 more answers

Can someone help me with number 5 :((

Vinil7 [7]

The answer is 83
a10=11+(10-1)8

8 0

2 years ago

Points X and are endpoints of a diameter of OW. Point Z is Points X and are endpoints of (Tother point on the circle. Find the p

eimsori [14]

Corrected Question

Points X and Y are endpoints of a diameter of Circle W. Point Z is another point on the circle. Find the probability that $\angle$ XZY is a right angle.

Answer:

Probability=1

Step-by-step explanation:

Theorem

If an Inscribed angle intercepts a semicircle, the angle is a right angle.

Given that X and Y are endpoints of a diameter of Circle W and point Z is on the circle's circumference.

I have prepared a diagram which is attached.

Then, $\angle$ XZY is an angle which intercepts a semicircle.

By the theorem above, $\angle$ XZY is a right angle.

Therefore, the probability that $\angle$ XZY is a right angle =1

5 0

3 years ago

Explain how you could use a number line to determine -5 -(-3) What is the difference?

siniylev [52]

Answer:

-2

Step-by-step explanation:

Start on -5 on the left side of the number line, jump from -5 three times to the right of the number line since ( - - ) means to add. As you jump draw "bridges" and by the time you have completed the amount of jumps you have to do you'll end up with a difference of -2.

8 0

3 years ago