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2 years ago

Which expression is equal to -18b^-4

Mathematics

1 answer:

victus00 [196]2 years ago

8 0

Answer:

$- \frac{18}{ {b}^{4} }$

Step-by-step explanation:

$- 18b {}^{ - 4}$

express b^-4 with a positive exponent using:

$a {}^{ - n} = \frac{1}{ {a}^{n} }$

$- 18 \frac{1}{ {b}^{4} }$

$- \frac{18}{ {b}^{4} }$

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ABC is the image of ABC under a translation

morpeh [17]

The translation is (x-8,y+5). To get from A to A’ you go left (x-axis) 8 times and up (y-axis) 5 times.

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3 years ago

8/3 x 9/7 or 8/3 x 9/4<br> Which is greater? How do you know?

Vinvika [58]

Well, let's multiply them!

8/3 * 9/7 = 72/21

8/3 x 9/4 = 72/12.

We know the one with the smallest denominator is larger if the numerator is the same. So that means

72/12 is larger.

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2 years ago

BRAINLIEST AWARD NO.2

zzz [600]

Answer:

A whole number first term to render as fifth term a value larger than 10000, should be at least 121

Step-by-step explanation:

The formula is given as recursive since it involves the previous number of the sequence, and defined as:

$a_n=a_{n-1}*3+6$

we also know that the first term is 4

Then in this case, the first five terms are:

$a_1=4\\a_2=4*3+6=18\\a_3=18*3+6=60\\a_4=60*3+6=186\\a_5=186*3+6=564\\$

So if we want to find the first term in the case that the fifth one is greater than 10,000 using this recursive formula, now we have to start backwards, and say that the fifth term is "> 10000" and what the fourth one is.

Notice that if you have this definition for the nth term, we can obtain from it, what the previous term is to find the general rule:

$a_n=a_{n-1}*3+6\\a_n-6=a_{n-1}*3\\\frac{a_n-6}{3} = a_{n-1}\\a_{n-1}=\frac{a_n}{3} -2$

So the rule is to subtract 6 from he term, and divide the subtraction by 3. Then working backwards:

$a_5>10000\\\frac{a_5}{3} -2>\frac{10000}{3} -2\\a_4>=\frac{10000}{3} -2\\\frac{a_4}{3} -2>\frac{\frac{10000}{3}-2}{3}-2 =\frac{10000}{9}-\frac{8}{3} \\a_3>\frac{10000}{9}-\frac{8}{3} \\\frac{a_3}{3} -2>\frac{\frac{10000}{9}-\frac{8}{3} }{3} -2=\frac{10000}{27} -\frac{8}{9} -2=\frac{10000}{27} -\frac{26}{9}\\a_2=\frac{10000}{27} -\frac{26}{9}\\\frac{a_2}{3} -2>\frac{\frac{10000}{27} -\frac{26}{9}}{3} -2=\frac{10000}{81} -\frac{80}{27} \\a_1>\frac{10000}{81} -\frac{80}{27}\approx 120.49$

therefore, the starting first term should be at least about 121 to give a fifth term larger than 10,000

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2 years ago

Which angle number is a vertical angle to

VMariaS [17]

Answer:

Angle 7 or angle DHG

Step-by-step explanation:

Vertical means the opposite angle, or in dictionary definition means each of the pairs of opposite angles made by two intersecting lines. So the vertical angle to angle LHI (angle 9) will be angle DHG (angle 7)

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3 years ago

I’m not understanding the answer listed on this site to the following question:

kobusy [5.1K]

Okay, I think I understand this. Our first step is to solve how long the string is after he used some of it to tie the package. I have a feeling we have to subtract 7/8 - 1/5. Find a least common multiple (in this case, it's 40) and our new fractions are 35/40 and 8/45. Subtract:

35/40 - 8/40 = 27/40.

I don't think this can be simplified down any further as they do not have any common factors. So with that in mind, let's divide 27/40 with 5/1 (5/1 is basically 5 wholes but in fraction version)

When dividing fractions, you want to use the KCF technique (my old math teacher taught me this). Keep the first fraction the same (in this case, 27/40), change the sign from multiplication to division, and flip 5/1 to get it's reciprocal, 1/5. The equation will look like this:

27/40 * 1/5 = 27/200

So each piece is about 27/200 m in length (or 0.135 m in length).

If this is wrong, please let me know, but this is what I got out of this question. I hope this helped you :)

4 0

2 years ago