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3 years ago

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An asteroid is 10^{8} miles away from earth, and it is traveling at a speed of 10^{5} miles per day. How many days will it take

the comet to reach earth? Exponents can be entered in your answer in the form 10^2

1 answer:

Nikolay [14]3 years ago

7 0

Answer:

It will take 10^3 days for the comet to reach earth.

Step-by-step explanation:

10^8 = 100,000,000

10^5 = 100,000

100,000,000/100,000 = 1,000

1,000 is equal to 10^3

So it will take the comet 10^3 days to reach earth.

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Solve for me pls :)

I am Lyosha [343]

Answer:

<h2> $f(19) = - \frac{27}{7} \\$ </h2>

Step-by-step explanation:

$f(x) = \frac{3}{x + 2} - \sqrt{x - 3} \\$

To find f(19) , substitute the value of x that's 19 into f(x). That is for every x in f (x) replace it with 19

We have

$f(19) = \frac{3}{19 + 2} - \sqrt{19 - 3} \\ = \frac{3}{21} - \sqrt{16} \\ = \frac{1}{7} - 4 = \frac{1 - 28}{7}$

We have the final answer as

$f(19) = - \frac{27}{7} \\$

Hope this helps you

8 0

3 years ago

It is recommended that adults consume at least 1,000 mg of calcium every day. One ounce of whole milk contains about 25 mg of ca

Maksim231197 [3]

Answer:

A= 50oz milk + 2 oz cheese

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

In Hillsboro's wig shop, 1/2 of the wigs are blonde and 1/12 of the wigs are brunette. What fraction of the wigs are either blon

ella [17]

Answer:

7/12

Step-by-step explanation:

So, the probability of picking up a blonde wig = 1/2

The probabiliy of picking up a brunette wig = 1/12

The question asks to find th eprobability of picking up either of these types of wigs =

1/2 + 1/12

= 6/12 + 1/12 ( LCM of 12 and 1 is 12 )

= 7/12

Hope this helps

3 0

3 years ago

Given a function <img src="https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4-5x%5E2%2B2x-3" id="TexFormula1" title="f(x)=3x^4-5x^2+2x-3"

Levart [38]

Answer:

$\huge\boxed{f(-1) = -7}$

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

$f(-1) = 3(-1)^4 - 5(-1)^2 + 2(-1) - 3$

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

$3(-1)^4 = 3$

<u><em>WAIT</em></u><em>!</em><em> How is this possible? </em> $-1^4 = -1$ (according to my calculator), and $3 \cdot -1 = -3$ , not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use $-2^2$ as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than being <em>"-2 squared"</em> - it's <em>"the negative of of 2 squared."</em>

Tying this back into our problem, the squared method would only be true if it looks like $-1^4$ . However, since we're substituting in -1, it looks like $(-1)^4$ , so the expression reads out as "<u><em>-1 to the fourth.</em></u>"

MULTIPLYING -1 by itself 4 times results in $-1\cdot-1\cdot-1\cdot-1=1$ .

Applying this logic to our original term, $3(-1)^4$ :

$3(-1\cdot-1\cdot-1\cdot-1)$
$3(1)$
$3$

Therefore, our first term is 3.

Let's move on to our second and third terms.

Second term: $-5x^2$

$-5(-1)^2$

Applying the same logic from our first term:

$-5(-1 \cdot -1)$
$-5(1)$
$-5$

Third term: $2x$

$2(-1) = -2$

-3 is just -3, no influence of x.

Combining our terms, we have $3-5-2-3$ .

This comes out to be -7, hence, the value of $f(-1)$ for our function $f(x)=3x^4-5x^2+2x-3$ is <u>-7</u>.

Hope this helped!

4 0

3 years ago

Read 2 more answers

What is the measure of c?<br> a = 15<br> j = 24<br> k = 32

inessss [21]

Answer:

The answer to your question is c = 20

Step-by-step explanation:

Data

a = 15

j = 24

k = 32

c = ?

Process

Use proportions to solve this problem. Compare the small triangle and the large triangle.

1.- Proportion of the small triangle

c/15

2.- Proportion of the large triangle

k/j

3.- Equal but terms and solve for c

c/15 = k/j

-Substitution

c / 15 = 32/24

c = 32(15)/24

-Result

c = 20

4 0

3 years ago