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3 years ago

What is the sum of 4.2 × 105 and 5.3 × 10^5?

Mathematics

2 answers:

Ksivusya [100]3 years ago

5 0

Answer:

Option C.

Step-by-step explanation:

The two expressions are $4.2\times 10^{5}$ and $5.3\times 10^{5}$

We have to find the total of these two terms.

$(4.2\times 10^{5}$ + $5.3\times 10^{5})$

Now we take out $10^{5}$ as a common term.

$10^{5}(4.2+5.3)$

= $9.5\times 10^{5}$

Therefore, Option C. will be the answer.

Nina [5.8K]3 years ago

4 0

(4.2*105)+(5.3*10^5)
441 + 530000
530441

-----------

If your problem is (4.2*10^5)+(5.3*10^5), it would be
420000 + 530000
950000

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What are the amplitude, period, and phase shift of the given function? f(t)=-1/2sin(3t-2pi)

Romashka [77]

Answer:

The $amplitude=|A|=\frac{1}{2}$ , $period=3$ and $\text{phase shift}=\frac{2\pi}{3}$ .

Step-by-step explanation:

The given function is

$f(t)=-\frac{1}{2}\sin (3t-2\pi)$ .... (1)

The general form of sine function is

$F(t)=A\sin (Bt-C)+D$ ....(2)

where, |A| is the amplitude, B is period, D is the vertical shift (up or down), and C/B is used to find the phase shift.

On comparing (1) and (2), we get

$A=-\frac{1}{2}$

$B=3$

$C=2\pi$

$D=0$

So,

$amplitude=|A|=\frac{1}{2}$

$period=3$

$\text{phase shift}=\frac{2\pi}{3}$

Therefore $amplitude=|A|=\frac{1}{2}$ , $period=3$ and $\text{phase shift}=\frac{2\pi}{3}$ .

8 0

3 years ago

A.1.5

telo118 [61]

Answer:

x=50 y=10

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

)) Two tailors, Kristen and Layla, sit down to do some embroidery. Kristen can embroider 5

serious [3.7K]

Answer:

2 hours or less depending on how skilled or how they're felling that day

Step-by-step explanation:

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3 years ago

F(x) = x ^ 2 . What is g(x) ?

Bond [772]

Given:

The function is:

$f(x)=x^2$

The graphs of functions $f(x)$ and $g(x)$ .

To find:

The function $g(x)$ .

Solution:

We have,

$f(x)=x^2$

The function $f(x)$ is vertically compresses to get the graph of the function $g(x)$ . So, the function $g(x)$ is:

$g(x)=kf(x)$

$g(x)=kx^2$ ...(i)

From the given graph it is clear that the graph of the function $g(x)$ passes through the point (3,3). So, putting $x=3$ and $g(x)=3$ in the above function, we get

$3=k(3)^2$

$3=9k$

$\dfrac{3}{9}=k$

$\dfrac{1}{3}=k$

Putting $k=\dfrac{1}{3}$ in (i), we get

$g(x)=\dfrac{1}{3}x^2$

Therefore, the correct option is D.

6 0

3 years ago

The class needed to collect 20.5 pounds of cans for recycling over the next 5 months. the students plan to collect 3.75 pounds e

Anestetic [448]

To solve this problem, start by finding how many cans will be collected in 5 months. To do this, take the amount of cans collected each month and multiply it by the number of months. Set these values up in an equation.
This leaves you with:
3.75(5) = x

Multiply the values to get 18.75 pounds of cans.
So this fills the first blank.

For the second blank, you must subtract the number collected from the number that was the goal for the class.
This results in the expression:
20.5 - 18.75

Subtract the values to fill the second blank with 1.75 pounds.

Since they didn’t meet their goal, the last blank would be “less.”

I hope this helps! :)

8 0

2 years ago