Find the sum to 9 terms of the geometric SERIES 3 + 18 + 108 ​

Answer:

k = 4

Step-by-step explanation:

Here, we want to find the value of k

Mathematically, the gradient of a curve is same as the first derivative

so the first derivative here is;

dy/dx = 4kx^3

Now, the value of x here is 2 while the value of y is 128

Substituting these values;

128 = 4k(2)^3

128 = 32k

k = 128/32

k = 4

Answer:

5

Step-by-step explanation:

You have to remember :

125

45

16

Answer:

3(x + 5)(x − 5)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula:

a² − b² = (a + b)

(a − b)  

where  a = x and  b = 5.

3(x + 5)(x − 5)

Or

Search it up for a more detailed answer through Goo gle.

440 is the answer

Tn=a+(n-1)d

Tn=53

a= -12

n=53

d= 11

-12+(53-1)11 = 440

Answer:

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

Since we're finding the 53rd term

a = - 12

n = 53

d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11

d = 11

So we have

A(53) = - 12 + (11)(53 - 1)

= - 12 + 11(52)

= -12 + 572

= 560

We have the final answer as

Hope this helps you

Given:

The angles are:

Example [tex]54^\circ[/tex]

1. [tex]63^\circ[/tex]

2. [tex]87^\circ[/tex]

3. [tex]45^\circ[/tex]

4. [tex]72^\circ[/tex]

5. [tex]5^\circ[/tex]

To find:

The complimentary angle of the given angles.

Solution:

If two angles are complimentary, then their sum is 90 degrees.

Example: Let x be the complimentary angle of [tex]54^\circ[/tex], then

[tex]x+54^\circ=90^\circ[/tex]

[tex]x=90^\circ -54^\circ[/tex]

[tex]x=36^\circ[/tex]

Similarly,

1. The complimentary angle of [tex]63^\circ[/tex] is:

[tex]90^\circ -63^\circ=27^\circ[/tex]

2. The complimentary angle of [tex]87^\circ[/tex] is:

[tex]90^\circ -87^\circ=3^\circ[/tex]

3. The complimentary angle of [tex]45^\circ[/tex] is:

[tex]90^\circ -45^\circ=45^\circ[/tex]

4. The complimentary angle of [tex]72^\circ[/tex] is:

[tex]90^\circ -72^\circ=18^\circ[/tex]

5. The complimentary angle of [tex]5^\circ[/tex] is:

[tex]90^\circ -5^\circ=85^\circ[/tex]

Therefore, the complimentary angles of [tex]54^\circ, 63^\circ, 87^\circ, 45^\circ, 72^\circ, 5^\circ[/tex] are [tex]36^\circ, 27^\circ, 3^\circ, 45^\circ, 18^\circ, 85^\circ[/tex] respectively.

Answer: 418.7

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/geometry-solids/cone.php

Answer:

what grade is this?

Answer:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

Step-by-step explanation:

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

LCD(9/4, 5/10) = 20

[tex](\frac{9}{4} * \frac{5}{5} ) - (\frac{5}{10} * \frac{2}{2} ) = ?[/tex]

Complete the multiplication and the equation becomes

[tex]\frac{45}{20} - \frac{10}{20}[/tex]

The two fractions now have like denominators so you can subtract the numerators.

Then:

[tex]\frac{45 - 10}{20} = \frac{35}{20}[/tex]

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 35 and 20 using

GCF(35,20) = 5

[tex]\frac{35 / 5 }{20 / 5} = \frac{7}{4}[/tex]

The fraction

[tex]\frac{7}{4}[/tex]

is the same as

7 ÷ 4

Therefore:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

Apply the fractions formula for subtraction, to

[tex]\frac{9}{4} - \frac{5}{10}[/tex]

and solve

[tex]\frac{(9 * 10)- (5* 4) }{4 * 10}[/tex]

[tex]= \frac{90-20}{40}[/tex]

[tex]= \frac{70}{40}[/tex]

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(70,40) = 10

[tex]\frac{70/ 10 }{40 / 10} = \frac{7}{4}[/tex]

Convert to a mixed number using

long division for 7 ÷ 4 = 1R3, so

[tex]\frac{7}{4} = 1\frac{3}{4}[/tex]

Therefore:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

Answer:

so you wont have to find the LCD (least common denomonatoir )

Step-by-step explanation:

The question is incomplete:

A farmer sells 8.1 kilograms of apples and pears at the farmer's market. 2/5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answer:

She sold 4.86 kg of pears at the farmer's market.

Step-by-step explanation:

With information provided, you know the amount of kilograms of  apples and pears sold and that 2/5 of this weight is apples, so you can find first the number of kilograms of apples sold by multipying 2/5 for 8.1 kilograms:

2/5*8.1=3.24 kg

Now, you can find the kilograms of pears that the farmer sold by subtracting the kilograms of apples sold from the total amount of apples and pears sold:

8.1-3.24=4.86 kg

According to this, the answer is that she sold 4.86 kg of pears at the farmer's market.

Answer:

26

Step-by-step explanation:

40x30%=12

40+12=52

52x50%=26

At a local toy store, extra-large stuffed bears had a price of $40 each.

The price of an extra-large toy stuffed bear is $26.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

At a local toy store, extra-large stuffed bears had a price of $40 each.

In December, the price was raised by 30%.

40 x 30%

= 1200/100

= 12

40 + 12 = 52

In January, the price was lowered by 50%.

52 x 50%

=2600/100

= 26

Thus, the price of an extra-large toy stuffed bear is $26.

Learn more about percentages;

https://brainly.com/question/13450942

#SPJ2

Answer: hope this helps

Step-by-step explanation:

5 (x + 8)

Root:

x = -8

Derivative:

d/dx(2 x + 46 + 3 x - 6) = 5

Indefinite integral:

integral(40 + 5 x) dx = (5 x^2)/2 + 40 x + constant

Answer:

5x-40=0

5x=40

x=40/5

x=8

Answer:

737/100

Step-by-step explanation:

Answer:

c=10(g+5)

Step-by-step explanation:

Given that,

The cost of customer smartphone bill is given by the equation as follows :

c=10g+50

Where

g is the number of gigabits of data the customer per month

We need to factor this cost polynomial

The common between 10 and 50 is 10

Taking 10 common. So,

c=10(g+5)

Hence, the required factor is equal to c=10(g+5).

Answer:

it's the 3rd option (eeeexxxxttteeennndddeeerrr)

Answer:

the correct answer is c i hoped this helped

Answer:

Step-by-step explanation:

Refer to attached.

The given points are plotted and the line of best fit is added:

From the graph It is clear that the line passes through the center of the data points.

Correct choice is B

Answer:

Step-by-step explanation:

Answer B!

Answer:

2 answers

Step-by-step explanation:

factor: 2π(hr+π)

evaluate: 2π(hr+π)

hope that helps

Answer:

1240 widgets

Step-by-step explanation:

The value of the function at 870, the local maximum, is

= -0.02(870)2 + 34.80(870) - 4700

= -0.02(756900) + 30276 - 4700

=  -15138 + 25576

= 10438

So the vertex is (870, 10438)

The cost t the company to produce 870 widgets is  

C(870) = 4700 + 5.20(870) = 4700 + 4524 = 9224

So, the cost of the widgets plus the profit must be equal to the total sales, which is divided by the number of widgets reveal their individual price.

(10438 + 9224)/870 = 19662/870 = $22.60

P(x) = 7700

- 0.02x2 + 34.80x - 4700 = 7700

-0.02x2 + 34.80x -12400 = 0

x = {-34.80 ± √[(34.80)2 - 4(-0.02)(-12400)]}/2(-0.02)

x = [-34.80 ± √(1211.04 - 992)]/(-0.04)

x = (-34.80 ± √219.04)/(-0.04)

x = (-34.80 ± 14.8)/(-0.04)

x = 870 ± 370

so, $7700 in profits will be earned at either 500 widgets or 1240 widgets

Answer:

The contestant used commutive property!

Step-by-step explanation:

The commutative property of addition simply means that it does not matter in which order we add numbers together. Subtraction is not commutative. This means that the order of the numbers in the subtraction matters.

Please mark me brainliest!

Answer:

5 ten thousands

Step-by-step explanation:

Ten thousands: 10,000

So...

50,000/10,000=5

5 ten thousands

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Answer:

c=-2

Step-by-step explanation:

Answer:

twenty and thirty-six thousandths in standards form is 20.036

Answer:

20.006

Step-by-step explanation:

I think this is what you need but not a lot of info. sorry if it's not

Answer:

<P = 56 degrees

Step-by-step explanation:

Given the following

m<R = 90 degrees

QR = 61feet = Adjacent

RP = 90 feet= Opposite

Required

tan<P = opp/adj

Tan<P = 90/61

<P = arc tan (90/61)

<P = arctan 1.4754

<P = 55.9

<P = 56 degrees to the nearest degree

Step-by-step explanation:

You have 90° angle and you will get x if you:

x=90°-25°

x=65°

answer:

x= 60 degrees

Step-by-step explanation:

90-25= 65

Answer:

∠4 & ∠2

Step-by-step explanation:

adjacent angles:

Answer:

D. Square

It is the only one with all right angles and sides the same length