What is the range of f(x)? {x| -2

Mathematics

1 answer:

Lisa [10]2 years ago

5 0

Answer:

I thing it should be x-4 because I don't get the question

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Question 5 Unsaved

Otrada [13]

We can use the compound interest formula

F=P(1+i)^n

where

F=Future value of investment to be found

P=present value of investment ($1000)

i=interest per period (1/4 year)=0.04/4=0.01

n=number of periods (3 years * 4 quarters = 12)

Substitute or "Plug in" values, so to speak,

F=1000*(1+0.01)^12

use a calculator to do the sum

=1126.83 (to the nearest cent, and use the proper rounding rules)

3 0

3 years ago

Law of sines: How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3?

butalik [34]

According to the law of sines:

$\frac{a}{sin(A)} = \frac{b}{sin(B)}$

Using the given values, we can find the angle B and find the number of possible triangles that can be formed.

$\frac{2}{sin(75)}= \frac{3}{sin(B)} \\ \\ 
sin(B)=3* \frac{sin75}{2} \\ \\ 
sin(B)=1.45 \\ \\ 
B=sin^{-1} (1.45)$

The range of sin is from -1 to 1. The above expression does not yield any possible value of B, as sin of no angle can be equal to 1.45.

Therefore, we can conclude that no triangle exists with the given conditions.

5 0

3 years ago

Find the smallest power of 10 that will exceed M. Let M = 118,526.65902.

zavuch27 [327]

Answer:

The smallest power of 10 that will exceed $M$ is $10^{6}$ .

Step-by-step explanation:

We can use the following approach to determine the smallest power of 10 that will exceed M. We can transform that number into scientific notation, which is of the form:

$x.y \times 10^{n}$ , $\forall \,x,y\in \mathbb{N}$

Where:

$x$ - Integer part, formed by a digit, which is of the highest order.

$y$ - Decimal part, formed by a digit onwards.

$n$ - Power grade.

The smallest power of 10 that will exceed M is $10^{n+1}$

If $M = 118,526.65902$ , then, the power grade is number of spaces that dot must be moved leftwards. In this case, dot must be moved 5 spaces on the left. The integer part is 1 and the decimal part is 1852665902. Then, the value of $M$ in scientific notation is: