Ask question

Ask question

All categories

2 years ago

9

The circumference of Mars is 7.00 x 107. Which planet is larger, and by how many feet? Write the answer in both standard and sci

entific notation.

1 answer:

Rasek [7]2 years ago

6 0

Answer:

34

Step-by-step explanation:

the....

You might be interested in

8. 36.8 = [11.5 – (2.5 X 3)]2

Anestetic [448]

Answer:

$[11.5-(2.5*3)]^2=16$

Step-by-step explanation:

We want to evaluate $[11.5-(2.5*3)]^2$

Let us evaluate within the parenthesis first:

$[11.5-(2.5*3)]^2=[11.5-(7.5)]^2$

$\implies [11.5-(2.5*3)]^2=[11.5-7.5]^2$

We again subtract within the bracket to obtain:

$[11.5-(2.5*3)]^2=[4]^2$

This finally gives us:

$[11.5-(2.5*3)]^2=16$

6 0

2 years ago

A shirt has a ticket price of $14.50 courtney used a coupon and got discounted of 20%

cluponka [151]

Answer:

where is the question

Step-by-step explanation:

7 0

2 years ago

Debra borrowed $8000 at a rate of 18% compounded semiannually. Assuming she makes no payment, how much will she owe after 9 year

Marina CMI [18]

Answer:

She owe $37736.96 after 9 years .

Step-by-step explanation:

Debra borrowed $8000 at a rate of 18% compounded semiannually

We are supposed to find how much will she owe after 9 years

Principal = 8000

Rate of interest = 18% =0.18

No. of compounds per year = 2

Time = 9 years

Formula : $A= P(1+\frac{r}{n})^{nt}$

Substitute the values in the formula :

$A= 8000(1+\frac{0.18}{2})^{2 \times 9}$

A= 37736.96

Hence She owe $37736.96 after 9 years .

5 0

3 years ago

How do i write a number in standerd form

pickupchik [31]

In its normal way, For example: 214, Write it in the way it is Usually written.

8 0

3 years ago

Read 2 more answers

How do I solve: 2 sin (2x) - 2 sin x + 2√3 cos x - √3 = 0

ziro4ka [17]

Answer:

$\displaystyle x = \frac{\pi}{3} +k\, \pi$ or $\displaystyle x =- \frac{\pi}{3} +2\,k\, \pi$ , where $k$ is an integer.

There are three such angles between $0$ and $2\pi$ : $\displaystyle \frac{\pi}{3}$ , $\displaystyle \frac{2\, \pi}{3}$ , and $\displaystyle \frac{4\,\pi}{3}$ .

Step-by-step explanation:

By the double angle identity of sines:

$\sin(2\, x) = 2\, \sin x \cdot \cos x$ .

Rewrite the original equation with this identity:

$2\, (2\, \sin x \cdot \cos x) - 2\, \sin x + 2\sqrt{3}\, \cos x - \sqrt{3} = 0$ .

Note, that $2\, (2\, \sin x \cdot \cos x)$ and $(-2\, \sin x)$ share the common factor $(2\, \sin x)$ . On the other hand, $2\sqrt{3}\, \cos x$ and $(-\sqrt{3})$ share the common factor $\sqrt[3}$ . Combine these terms pairwise using the two common factors:

$(2\, \sin x) \cdot (2\, \cos x - 1) + \left(\sqrt{3}\right)\, (2\, \cos x - 1) = 0$ .

Note the new common factor $(2\, \cos x - 1)$ . Therefore:

$\left(2\, \sin x + \sqrt{3}\right) \cdot (2\, \cos x - 1) = 0$ .

This equation holds as long as either $\left(2\, \sin x + \sqrt{3}\right)$ or $(2\, \cos x - 1)$ is zero. Let $k$ be an integer. Accordingly:

$\displaystyle \sin x = -\frac{\sqrt{3}}{2}$ , which corresponds to $\displaystyle x = -\frac{\pi}{3} + 2\, k\, \pi$ and $\displaystyle x = -\frac{2\, \pi}{3} + 2\, k\, \pi$ .
$\displaystyle \cos x = \frac{1}{2}$ , which corresponds to $\displaystyle x = \frac{\pi}{3} + 2\, k \, \pi$ and $\displaystyle x = -\frac{\pi}{3} + 2\, k \, \pi$ .

Any $x$ that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined:

$\displaystyle x = \frac{\pi}{3} + k \, \pi$ (from $\displaystyle x = -\frac{2\,\pi}{3} + 2\, k\, \pi$ and $\displaystyle x = \frac{\pi}{3} + 2\, k \, \pi$ , combined,) as well as
$\displaystyle x =- \frac{\pi}{3} +2\,k\, \pi$ .

7 0

3 years ago