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deff fn [24]
3 years ago
12

Need help with this also plz asap

Mathematics
2 answers:
IRISSAK [1]3 years ago
8 0

Try it randomly idk<em>, sorry I couldn’t help</em>

Bas_tet [7]3 years ago
8 0

For this case, we must expand the series for each value of "n". That is to say:2 ^ {(1) -2} +2 ^ {(2) -2} +2 ^ {(3) -2} +2 ^ {(4) -2} +2 ^ {(5) -2} =

We have that equal signs are added and the same sign is placed, while different signs are subtracted and the sign of the major is placed:

2 ^ {1-2} + 2 ^ {2-2} + 2 ^ {3-2} + 2 ^ {4-2} + 2 ^ {5-2} =

2 ^ {-1} + 2^{0}+ 2^{1} + 2^{2} + 2^{3}=

By definition of power properties we have to:

a ^ {-1} = \frac {1} {a}\\a ^ 0 = 1

So:

\frac {1} {2} + 1 + 2 + 4 + 8 =

We find the common denominator:

\frac {1} {2} + 1 * \frac {2} {2} + 2 * \frac {2} {2} + 4 * \frac {2} {2} + 8 * \frac {2} { 2} =\\\frac {1 + 2 + 4 + 8 + 16} {2} =\\\frac {31} {2} =\\15.5

Answer:

Option B

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An actor invests some money at 7%, and $48000 and more than twotimes the amount of 9%. The total annual interest earned from the
forsale [732]

Answer:

At 7% $54,000

At 9% $156,000

Step-by-step explanation:

Let x be the amount invested at 7%, Then 2x + 48000 will be the amount invested at 9%

We know that:

7% = 0.07 & 9% = 0.09

So we can write the interest equation as follows:

0.07x + 0.09 (2x + 48000) = 17820

0.07x + 0.18x + 4320 = 17820

0.25x + 4320 = 17820

Subtracting 4320 from both sides of the equation we get:

0.25x = 17820 - 4320

0.25x = 13500

Dividing both sides of the equation by 0.25 we get:

x = 13500 / 0.25

x = $54,000 invested at 7%

&

2 x 54000 + 48000

= $156,000 invested at 9%

Hence the amount invested at 7% is $54,000.

& the amount invested at 9% is $156,000.

5 0
3 years ago
The measure if an exterior angle of a regular polygon is given below find the measure of an interior angle then find the number
zhuklara [117]

Answer:

The measure of the interior angle is 156°

The polygon has 15 sides

Step-by-step explanation:

<em>Let us revise some facts in a polygon</em>

  • The sum of the exterior angles of any polygon is 360°
  • At each vertex of a polygon, the exterior and interior angles formed a pair of linear angles (The sum of their measures is 180°)
  • A regular polygon has equal angles and equal sides

<em>In our question </em>

∵ The measure of an exterior angle of a regular polygon = 24°

∵ The sum of measures of the interior angle and exterior angle at

   a vertex of a polygon is 180°

∴ The measure of the interior angle = 180° - 24°

∴ The measure of the interior angle = 156°

∵ The sum of the exterior angles of any polygon is 360°

∵ The polygon is regular (all angles are equal in measures)

∴ The measure of each exterior angle = 360° ÷ n, where n the

   number of its angles or sides

∴ 24° = 360°/n

→ Multiply both sides by n

∴ 24n = 360

→ Divide both sides by 24

∴ n = 15

∴ The polygon has 15 sides

5 0
3 years ago
Just question 1 please!!!!!
Anastaziya [24]

Answer:

see below

Step-by-step explanation:

by rewriting the function we can see that it has a minimum at

y=7x^2+7x-7\Rightarrow y=7(x^2+x-1)\Rightarrow y=7[(x+\frac{1}{2})^2-\frac{1}{4}-1]\Rightarrow

y=7[(x+\frac{1}{2})^2-\frac{5}{4}]\Rightarrow minimum \ (-\frac{1}{2}, -\frac{35}{4})

bye.

7 0
2 years ago
Look at image worth 20 pointd help!!
Alecsey [184]

Answer:

y=-\frac{9}{7}x-2

Step-by-step explanation:

Here, we have to convert the equation to slope-intercept form so we can find the perpendicular slope:

7x-9y=-5

-9y=-5-7x

y=-\frac{5}{9}+\frac{7}{9}x

y=\frac{7}{9}x-\frac{5}{9}

Since our slope is m=\frac{7}{9}, then that means the slope perpendicular to it is m=-\frac{9}{7}.

Now we find our new y-intercept so that the line will pass through the point (-7,7):

y=mx+b

y=-\frac{9}{7}+b

7=-\frac{9}{7}(-7)+b

7=9+b

-2=b

Therefore, the equation of the new line is y=-\frac{9}{7}x-2

7 0
3 years ago
In a grocery store, a $32 case of soda is labeled, "Get a 30% discount. What is the sale price of the case of soda?
Phoenix [80]

Answer:

$22.40

Step-by-step explanation:

For this question you have to use decimal multipliers to work out the sale price of the cola given the information that in a grocery store, a $32 case of soda is labelled get a 30 % discount so to use decimal multipliers we have minus 100 by 30 and then divide by 100

→ We have to minus 100 by 30

⇒ 70

→ And then divide by 100

⇒ 70 ÷ 100 = 0.7

0.7 is the decimal multiplier for this question so we multiply it by the case of soda price with is $32 so

32 × 0.7 = 22.4

The sale price of the case of soda is $22.40 considering a 30% discount on a $32 case of soda

5 0
3 years ago
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