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3 years ago

10

Which point can be used to find f(3)

1 answer:

Andreas93 [3]3 years ago

3 0

Commonly the horizontal axis represent the x-axis. So, you need the point that means x = 3 (positive 3), so, it is the point A.

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Find the value of the constant m √150 - √12m + √54 = 0

Tomtit [17]

Answer:

<u>m</u><u> </u><u>is</u><u> </u><u>√</u><u>2</u>

Step-by-step explanation:

${ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}$

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3 years ago

What is the sum of the first seven terms of the geometric series 2 - 10 +50 -...?

Umnica [9.8K]

Answer:

26042.

Step-by-step explanation:

What's the first term of this geometric series?

2.

What's the common ratio of this geometric series?

Divide one of the terms with the previous term. For example, divide the second term -10 with the first term 2.

$\displaystyle r = \frac{-10}{2} = -5$ .

What's the sum of this series to the seventh term?

The sum of the first n terms of a geometric series is:

$\displaystyle a_1 \cdot \frac{1-r^{n}}{1-r}$ ,

where

$a_1$ is the first term of the series,
$r$ is the common ratio of the series, and
$n$ is the number of terms in this series.

$\displaystyle 2 \times\frac{1- (-5)^{7}}{1- (-5)}=26,042$ .

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3 years ago

State the additive property of zero using the variable b.

Juli2301 [7.4K]

Answer with Step-by-step explanation:

We are given a variable b

We have to state the additive property of zero using the variable b.

Additive property of zero: It states that when any number b is added to zero then we get sum is equal to number itself.

Mathematical representation:

$b+0=0+b=b$

Suppose, a number b=9

Then, 9+0=9

0+9=9

This property is called additive property of zero because when 9 is added to 0 then we get sum equals to 9.

7 0

3 years ago

Which of the following equations is perpendicular to the line y = 2x + 8?

EastWind [94]

ya I want to go get back to the school and I will get back to school today I don’t have

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3 years ago

Please i need help with the answers this is due later on today

Nutka1998 [239]

Answer:

384, 216, 290, 192, 384

1446, 1 roll

Step-by-step explanation:

For rectangular boxes, calculate the sum of each side, then multiply it by two.

Box 1: 2(18 x 5) + 2(18 x 4) + 2(5 x 4) = 364

Box 3: 2(11 x 8) + 2(8 x 3) + 2(3 x 11) = 290

Box 5 is a cube (all sides equal), so you can find 1 side's area and multiply it by 6.

Box 5: 6(8 x 8) = 384

For triangular boxes, calculate the edges, then find the triangular area using area = 0.5(base x height).

Box 2: (15 x 3) + (9 x 3) + (12 x 3) + 2(0.5)(9 x 12) = 216

Box 4: 2(13 x 2) + (10 x 2) + 2(0.5)(10 x 12) = 192

Total: 364 + 290 + 384 + 216 + 192 = 1446

Rolls of wrapping paper:

Area of 1 roll = 30 x 60 = 1800

Since 1446 is less than 1800, you only need 1 roll of wrapping paper.

8 0

3 years ago

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