the common ratio of a g.p is 3. given that the 5th term is greater than the first term by 400 what is the fifth term of the g.p.
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Answer:

Step-by-step explanation:

Here is another example :

Answer:

15

Step-by-step explanation:

f(x) = 5x + 40

Put x as -5.

f(-5) = 5(-5) + 40

f(-5) = -25 + 40

f(-5) = 15

Answer:

15

Step-by-step explanation:

We already know that [tex]f(x)=5x+40[/tex]. To find [tex]f(x)[/tex] when [tex]x=-5[/tex], we simply need to plug -5 into the equation. Thus:

[tex]f(-5)=5(-5)+40=-25+40=15[/tex]

The answer is 15.

Answer:

see explanation

Step-by-step explanation:

150° is in the second quadrant.

To find the reference angle in the first quadrant subtract from 180°

reference angle = 180° - 150° = 30°

Answer:

-180-x

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

the others don't make any sense and also the first one's the only one that's in inequality form.

The inequality that represents the ages is 12 ≤ a ≤ 18.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

The inequality graphed below is shown.

The number line includes the numbers 12 and 18.

So,

The ages of the baseball team are 12 to 18.

This can be written as,

12 ≤ a ≤ 18

Thus,

The inequality that represents the ages is 12 ≤ a ≤ 18.

Learn more about inequalities here:

https://brainly.com/question/20383699

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Answer:

(2n + 7) (2n +7)

Step-by-step explanation:

To solve this problem we need to factorize 4n^2 + 28n +49 as shown below

[tex]4n^2 + 28n +49\\=>4n^2 + 14n + 14n +49\\=>2n(2n + 7) + 7(2n +7)\\=> (2n + 7) (2n +7)[/tex]

thus, after factorization we see that first option is correct one

(2n + 7) (2n +7)

we can validate this by expanding it

2n (2n +7) + 7 (2n+7)\

=> 4n^2 + 14n + 14n + 49 = 4n^2 + 28n +49 (which is equal to the problem stated expression)

Answer:

So for the first few small values of n, we have proven by demonstration that f(n) = n / (n+1).

Our task is to prove that if it works for any positive integer value of n, then it works for n + 1. This way, it must by induction work for all subsequent values of n.

Formally said, we need to prove that if for some positive integer n we can show that f(n) = n / (n+1), then we can conclude that f(n+1) = (n + 1) / (n + 2).

We begin the real "proof" by expanding f(n + 1):

f(n + 1) = f(n) + 1 / ((n+1)((n+1)+1)) because that's based on the construction.

= n / (n+1) + 1 / ((n+1)(n+2)) because f(n) = n / (n+1); this is called "using what you know from earlier".

= n(n+2) / ((n+1)(n+2)) + 1 / ((n+1)(n+2)) because we can multiply the left fraction by (n+2)/(n+2).

= (n2 + 2n + 1) / ((n+1)(n+2)) because we have a common denominator and can combine the numerators.

= (n+1)2 / ( (n+1)(n+2)) because we can factor the numerator now; it is a perfect square.

= (n+1) / (n+2) because we can cancel the common (n+1) factor from the numerator and denominator.

Q.E.D. (which means "that which was to be proven", in other words: "voilà")

Step-by-step explanation:

Explanation:

The distance we're after is the vertical distance from the point to the line. So we only care about the difference in y values from y = -19 to y = 3

You can count out the spaces or use subtraction along with absolute value

distance from P to Q = |P-Q|

distance from -19 to 3 = |-19-3|

distance from -19 to 3 = |-22|

distance from -19 to 3 = 22

The absolute value is to ensure the result is never negative.

Answer:

5/1

Step-by-step explanation:it goes up 5 and over 1

Answer:

Solution,

Let the points be A and B

A ( 8 , 2 ) -----> (X1 , y1 )

B ( 9 , 7 ) -------> (x2 , y2)

Now,

Slope =[tex] \frac{y2 - y1}{x2 - x1} [/tex]

[tex] = \frac{7 - 2}{9 - 8} [/tex]

[tex] = \frac{ 5}{1} [/tex]

[tex] = 5[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

0.67, 0.68, 0.69, 0.7, 0.71. (67/100, 68/100, 69/100, 70/100, 71/100)

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction.

2/3 is approximately equal to 0.66.

4/5 is equal to 0.8

Thus, we just need to find 5 numbers between 0.66 and 0.8.

Some numbers that you could use are: 0.67, 0.68, 0.69, 0.7, 0.71

Hope this helps :)

Answer:  2/3=2×5/3×5. = 10/15

4/5 = 3×4/5×3 = 12/15

Step-by-step explanation:

We will multiply it with5+1 =6

10/15×6/6= 72/90

12/15 × 6/6 = 72/90

5 rational number between them are:61/90,62/90,63/90,64/90,65/90

Pls mark me as brainliest

Answer:   Exact volume is   2304pi    cubic yards

===========================================================

Work Shown:

V = (4/3)*pi*r^3 is the volume of any sphere with radius r

We have r = 12 as our radius

V = (4/3)*pi*12^3

V = (4/3)*pi*1728

V = (4/3)*1728*pi

V = 2304pi   is the exact volume in terms of pi

To get the approximate volume, replace pi with 3.14 or any decimal approximation of pi, and use your calculator. Or you can hit the pi button on your calculator to have the calculator use its stored value.

If you use pi = 3.14, then the approximate volume is roughly 7234.56 cubic yards.

Answer:

the correct answer would be 2r+2

Step-by-step explanation:

8r-6r=2r

7-5=2

Answer:

2r + 2

Step-by-step explanation:

8r+7−6r−5

Terms with r are like terms and can be combined together.

Terms with no variable are like terms and can be combined together.

Terms with r and terms with no r are not like terms and cannot be combined together.

8r + 7 - 6r - 5 =

= 8r - 6r + 7 - 5

= 2r + 2

Answer:

The pyramid's height h = 12 ft

Step-by-step explanation:

Notice that the slant height of the pyramid forms a right angle triangle with the segment that joins the bottom end of the slant height with the center of the pyramid's base, and with the pyramid height (h).

The segment joining the slant height with the center of the pyramid's base is one half of the side of the base in length, so that it; 16 feet.

then we have a right angle triangle with hypotenuse given by the pyramid's slant height (20 ft), a leg given by 16 ft, and we need to find the length of the second leg (pyramid's height (h).so we use the Pythagorean theorem:

[tex]hyp^2=leg_1^2+leg_2^2\\(20\,ft)^2= (16\,ft)^2+h^2\\h^2=400\,ft^2-256\,ft^2\\h^2=144\,ft^2\\h=12 \,ft[/tex]

Answer:

C.12ft

Step-by-step explanation:

for people on edmentum

Answer:

He fails to sell that day 10 cottons.

Step-by-step explanation:

We are given that a cotton candy merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents.

One day when he made 120 cottons, he made a profit of 39 soles.

Let the number of cottons merchant is able to sold be 'x' and the number of cottons merchant is not able to sold be 'y'.

So, according to the question;

                                   x + y = 120

                                   x = 120 - y    ---------------------- [Equation 1]

                               [tex]0.40x - 0.50y=39[/tex]

                               [tex]40x - 50y=3900[/tex]

                               [tex]40(120-y) - 50y=3900[/tex]  

                               [tex]4800-40y - 50y=3900[/tex]

                               [tex]90y=4800-3900[/tex]

                                [tex]90 y = 900[/tex]

                                  [tex]y=\frac{900}{90}=10[/tex]

This means that the merchant is not able to sell 10 cottons.

Answer:

pretty sure it would be 4/45. hope this helps!

Answer:

B. rotation 90° counterclockwise about the origin.

Step-by-step explanation:

Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.

Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.

In the given question, ∆ABC is  mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.

The correct option is (B). rotation 90°counterclockwise about the origin.

Given, ∆ABC and ∆A'B'C' are shown in attached figure.

We have to map ∆ABC onto ∆A'B'C',.

A transformation is a general term for four specific ways to manipulate the shape and or position of a point, a line, or geometric figure.

Transformation is  also the process by which the size or orientation of a given figure is altered without any effect on its shape.

A rotation is a transformation in which the object is rotated about a fixed point.The direction of rotation can be clockwise or anticlockwise.

It is clear from the fig that the ∆ABC can be mapped over ∆A'B'C' by the rotation of  90°counterclockwise about the origin.

Hence the correct option is (B). rotation 90°counterclockwise about the origin.

For more details follow the link:

https://brainly.com/question/1571997

Answer:

C

Step-by-step explanation:

The set of points with the same x has an undefined slope

Answer:

C.  (-3, -3) and (-3, 3)

Step-by-step explanation:

(-1, 1) and (1, -1)

Slope  = (-1-1) / (1 - (-1))

= -2 / 2 = -1.

(-1,2) and (2,2)

Slope = ( 2-2)/ ( 2 - -2)

= 0

(-3, -3) and (-3, 3)

Slope =  (3 - -3) / (-3 - (-3)

= 6 / (-3+3)

= 6/0  -  UNDEFINED.

The line joining these points is vertical.

Answer:

42

Step-by-step explanation:

You have to find the greatest number that divide 294, 252 and 210, i.e., the greatest common factor.

Then, you need to factor each number and calculate the product of the common factors raised to the lowest exponent.

294 = 2*3*7^2

252 = 2^2 * 3^2 * 7

210 = 2*3*5*7

Greatest common factor = 2*3*7 = 42

The biggest possible number of students to distribute the balls equally is 42

Answer:

n = 6

x = 3

p = 0.32

q = 0.68

Step-by-step explanation:

Given:

32% are comfortable having drones deliver their purchases.

Suppose we are to find the probability that when 6 consumers are randomly​ selected, exactly 3 of them are comfortable with delivery by drones.

Required:

Find n, x, p, and q.

i) n represents the sample size. Here 6 consumers are selected randomly, therefore the sample size here is 6.

Thus, n = 6

ii) x represents the sample mean or number of successes. Since 3 consumers out of the selected 6 are comfortable with delivery by drones, the sample mean here is 3.

Thus, x = 3

iii) p represents population proportion or probability of success. Here population proportion(success probability) is 32% ≈ 0.32.

Thus, p = 0.32

iv) q represents probability of failure. To find probability of failure, use the formula:

1 - p

Thus,

1 - 0.32 = 0.68

q = 0.68

Answer:

A

Step-by-step explanation:

Given

8 - 2x + 6x = 24 , that is

8 + 4x = 24 ( subtract 8 from both sides )

4x = 16 ( divide both sides by 4 )

x = 4 → A

Answer:

the total amount is £ 756.

hope it helps..

Answer:

no

Step-by-step explanation:

hey

Answer:

24 minutes

Step-by-step explanation:

Fred can mow a lawn in 60 minutes.

Fred's Rate  [tex]=\frac{1}{60}[/tex]

Rocky can mow the same lawn in 40 minutes.

Rocky's rate [tex]=\frac{1}{40}[/tex]

Let the time it will take both of them = x minutes

Therefore:

[tex]\frac{1}{60}+\frac{1}{40}=\frac{1}{x}\\$Multiply all through by 1200$\\1200\times \frac{1}{60}+1200\times\frac{1}{40}=1200\times\frac{1}{x}\\20+30=\frac{1200}{x}\\50=\frac{1200}{x}\\$Cross multiply\\50x=1200\\Divide both sides by 50\\x=24\\[/tex]

It would take the two of them 24 minutes to mow the lawn.

Answer:

Let's solve for the radius.

r = C / 2π = 88 / (2 * 22/7) = 14

Volume of a cone = 1/3 * πr²h

= 1/3 * 22/7 * 14² * 15

= 3080 cm³

Answer:

Limit [tex]$\lim_{x \to 0} f(x)$[/tex] does not exist.

Step-by-step explanation:

To calculate left hand limit, we use a value slightly lesser than that of 0.

To calculate right hand limit, we use a value slightly greater than that of 0.

Let h be a very small value.

Left hand limit will be calculate at 0-h

Right hand limit will be calculate at 0+h

First of all, let us have a look at the value of f(0-h) and f(0+h)

[tex]f(0-h)=f(-h) = \dfrac{-h}{|-h|}\\\Rightarrow \dfrac{-h}{h} = -1[/tex]

[tex]f(0-h)=-1 ....... (1)[/tex]

[tex]f(0+h)=f(h) = \dfrac{h}{|h|}\\\Rightarrow \dfrac{h}{h} = 1[/tex]

[tex]f(0+h)=1 ....... (2)[/tex]

Now, left hand limit:

[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = [tex]$\lim_{h \to 0} f(0-h)$[/tex]

[tex]\Rightarrow[/tex] [tex]$\lim_{h \to 0} f(-h)$[/tex]

Using equation (1):

[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = -1

Now, Right hand limit:

[tex]$\lim_{x \to 0^{+} } f(x)$\\[/tex] = [tex]$\lim_{h \to 0} f(0+h)$[/tex]

[tex]\Rightarrow[/tex] [tex]$\lim_{h \to 0} f(h)$[/tex]

Using equation (2):

[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = 1

Since Left Hand Limit [tex]\neq[/tex] Right Hand Limit

So, the answer is:

Limit [tex]$\lim_{x \to 0} f(x)$[/tex] does not exist.

Answer:

The answer is

Step-by-step explanation:

(x+3)(2x-4)(x-6)

Expand

We have

(x + 3) ( 2x² - 12x - 4x + 24)

(x + 3)( 2x² - 16x + 24)

2x³ - 16x² + 24x + 6x² - 48x + 72

Simplify

Group like terms

2x³ - 16x² + 6x² + 24x - 48x + 72

We have the final answer as

Hope this helps you

Answer:

[tex]m=-\frac{13}{20.8}=-0.625[/tex]

Nowe we can find the means for x and y like this:

[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]

[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]

And we can find the intercept using this:

[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]

So the line would be given by:

[tex]y=-0.625 x +9[/tex]

Step-by-step explanation:

We have the following data:

X: 3,3,2,1,7

Y:6,7,8,9,5

We want to find an equationinf the following form:

[tex] y= bX +a[/tex]

[tex]a=m=\frac{S_{xy}}{S_{xx}}[/tex]

Where:

[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}[/tex]

[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}[/tex]

So we can find the sums like this:

[tex]\sum_{i=1}^n x_i = 3+3+2+1+7=16[/tex]

[tex]\sum_{i=1}^n y_i =6+7+8+9+5=35[/tex]

[tex]\sum_{i=1}^n x^2_i =72[/tex]

[tex]\sum_{i=1}^n y^2_i =255[/tex]

[tex]\sum_{i=1}^n x_i y_i =99[/tex]

With these we can find the sums:

[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=72-\frac{16^2}{5}=20.8[/tex]

[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=99-\frac{16*35}{5}=-13[/tex]

And the slope would be:

[tex]m=-\frac{13}{20.8}=-0.625[/tex]

Nowe we can find the means for x and y like this:

[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]

[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]

And we can find the intercept using this:

[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]

So the line would be given by:

[tex]y=-0.625 x +9[/tex]

Answer:

i = {√(P-180)/20}+ 3

Step-by-step explanation:

Here, we simply need to make i the subject of the formula

that would be;

P -180 = 20(i-3)^2

Divide through by 20

(P-180)/20 = (i-3)^2

Find the square root of both sides

sqr (P-180)/20 = i-3

i = {√(P-180)/20}+ 3

Answer:

(-4,2)

Step-by-step explanation:

when rotated about 180 degrees, you change both signs

Answer:

The unit prices will be within the range of $0.77 ≤x≤$0.78

Step-by-step explanation:

If a package 8-count AA batteries cost $6.16 and a package of same 20-count AA batteries cost $15.60, to calculate the unit price, the following steps must be carried out:

8 counts AA batteries = $6.16

A unit price (i.e 1 count) = x

Cross multiplying

8 × x = 6.16 × 1

x = 6.16/8

x = $0.77 for a unit price

Similarly, if 20-count AA batteries cost $15.60, then:

20 counta = $15.60

1 count = x

Cross multiplying

20 × x = $15.60 × 1

x = $15.60/20

x = $0.78 for a unit price

From above calculation, of can be seen that the unit price is almost similar but with a difference of $0.01 ($0.78-$0.77) which is insignificant. Based on this, we can conclude that a unit price of the battery is between the range

$0.77 ≤x≤$0.78

Answer:

The 8-count pack of AA batteries has a lower unit price of 0.77

per battery.

Step-by-step explanation:

Answer:

The value of x is as follows:

Exact form: x = 27/16

Decimal form: x = 1.6875

Mixed number form: x = 1 & 11/16

Answer:

x=27/16 or x= 1.6875

Step-by-step explanation:

2x + 12x + 2 + 2x =29

16x + 2 =29

16x =29 - 2

16x= 27

x = 27/16 or 1.6875