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Nezavi [6.7K]
3 years ago
14

(please zoom / zoom out if needed to see question. (: )

Mathematics
1 answer:
Semmy [17]3 years ago
8 0
A circle is 360° all the way around; therefore, if you divide an arc's<span> degree </span>measure<span> by 360°, you </span>find<span> the fraction of the circle's circumference that the </span>arc<span> makes up. Then, if you multiply the length all the way around the circle (the circle's circumference) by that fraction, you </span>get<span> the length along the </span>arc<span>.</span>
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What is the product?<br><br> (5r − 4)(r2 − 6r + 4)
maxonik [38]

Answer:

1r

Step-by-step explanation:

(5r-4)(2r-6r+4)

1(5r-4)+1(2r-6r+4)

5r-4+2r-6r+4

5r+2r-6=1r

1r-4+4

-4+4=0

1r

7 0
2 years ago
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
Makovka662 [10]

Given:

The geometric sequence is:

n              a_n

1                        -4

2                      20

3                     -100

To find:

The explicit formula and list any restrictions to the domain.

Solution:

The explicit formula of a geometric sequence is:

a_n=ar^{n-1}            ...(i)

Where, a is the first term, r is the common ratio and n\geq 1.

In the given sequence the first term is -4 and the second term is 20, so the common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{20}{-4}

r=-5

Putting a=-4,r=-5 in (i), we get

a_n=-4(-5)^{n-1} where n\geq 1

Therefore, the correct option is B.

5 0
3 years ago
What does the line of -4 x + 3y = 6 look like
Llana [10]

Answer:

The line slopes upwards from left to right wit a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2

Step-by-step explanation:

We first rearrange the equation to the order y=mx+c where m is the gradient and c the y intercept.

3y=4x+6

y=(4/3)x+2

The gradient is therefore 4/3 and the y intercept is 2.

At the c intercept, y=0

0=(4/3)x +2

(4/3)x=-2

x=-2×3/4

=3/2

The line slopes upwards from left to right with a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2

8 0
3 years ago
Read 2 more answers
The weight of 1000 identical samples of a substance is 1 pound. What is the weight of 100 samples?
alex41 [277]
The answer is 0.1 lbs. Or 1/10 lbs.

Hope this helps!
8 0
3 years ago
Read 2 more answers
Mr. and Mrs. Suralbo earned a net taxable income of P568,986. Find the income tax due.
Contact [7]

Answer:

$198,000

Step-by-step explanation:

Since Mr. and Mrs. Suralbo are married and filing jointly, they would fall into the tax slab of 35% as their taxable income ranges between $414,701 to $622,050.

Taxable income = $568,986

Tax rate = 35%

Income tax due = $568,000 * 35/100

= $198,000

Thus, the income tax due for Mr. and Mrs. Suralbo would be $198,000.

8 0
3 years ago
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