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4 years ago

How is the number 124,908 written in Scientific Notation? Show your work.

Mathematics

1 answer:

allochka39001 [22]4 years ago

3 0

Answer:

1.24908 × 105

Step-by-step explanation:

1.24908e5

= 124.908 × 103

= 124908

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What is the shape of the graph of the function?<br> g(x)= 3/2 (2/3) ^x

Andrew [12]

Answer:

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

Step-by-step explanation:

Given the function

$g\left(x\right)=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x$

Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

substituting x = 0 in the fuction

$y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x$

$y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^0$

Apply rule: $a^0=1,\:a\ne \:0$

$y=1\cdot \frac{3}{2}$

$y=\frac{3}{2}$

$y = 1.5$

Therefore, the point representing the y-intercept is:

(0, 1.5)

Determining the x-intercept

We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

substituting y = 0 in the function

$0=\frac{3}{2}\left(\frac{2}{3}\right)^x$

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$\left(\frac{2}{3}\right)^x=0$

We know that $a^{f\left(x\right)}$ can not be zero or negative for x ∈ R

Thus, NONE represents the x-intercept.

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

5 0

3 years ago

The line that is perpendicular to y=-x and passes through the point (2,4) is y=x+ ___?

iris [78.8K]

Answer:

B. 2

Step-by-step explanation:

1) all the perpendicular lines are: y=x+C, where C - number;

2) in order to calculate C: to substitute (2;4) into the equation y=x+C:

4=2+C; ⇒ C=2;

3) finally, the required equation is: y=x+2.

The answer is B. 2.

3 0

3 years ago

Chen completed the division problem below.

Lelechka [254]

Answer:

The error is:

He multiplied the dividend by 100 instead of 10

Step-by-step explanation:

∵ 1.926 ÷ 0.9 ⇒ means

1.926 = 1926/1000 ⇒ dividend

0.9 = 9/10 ⇒ divisor

* $\frac{1926}{1000}$ ÷ $\frac{9}{10}$

$\frac{1926}{1000}$ × $\frac{10}{9}$

$\frac{1926}{100}$ × $\frac{1}{9}$

∵ 1926/100 = 19.26 ⇒ dividend

∴ 19.26 ÷ 9 = 1926/100 ÷ 9

19 ÷ 9 = 2 with remainder 1/9

12 ÷ 9 = 1 with remainder 3/9

36 ÷ 9 = 4 no remainder

∴ The quotient is 214/100 = 2.14

7 0

3 years ago

Read 2 more answers

The hypotenuse of a right triangle measures 15 cm and one of its legs

Kay [80]

Answer:

[see below]

Step-by-step explanation:

Use the Pythagorean Theorem.

$a^2+b^2=c^2$

'c' will be the hypotenuse.

The hypotenuse is 15 cm. One of the legs is 5 cm.

$5^2+b^2=15^2\\\\25 + b^2 = 225\\\\25-25+b^2=225-25\\\\b^2=200\\\\\sqrt{b^2}=\sqrt{200}\\\\ b=14.1421356237..., -14.1421356237$

14.1421356237 ≈ 14.1

The other leg should be about 14.1 cm.

Hope this helps.

4 0

3 years ago

Read 2 more answers

To find the area of a triangle you can use the expression b times h divided by 2 where b is the base of the triangle and h is it

MrRissso [65]

Answer:

Area = 24 cm²

Step-by-step explanation:

Area = 0.5 x (base x height)

Area = 0.5 x (6 x 8)

Area = 0.5 x 48

Area = 24 cm²

6 0

4 years ago