When the common ratio of an
infinite geometric sequence is
less than 1, its sum can be
found by the formula
a
where s is the sum, a is the first
term, and r is the common
ratio, What is the sum of the
geometric sequence below?
16,8,4,2.

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

          what is the value of 7x-3y-1 for x = -2 and y = 4?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Replace x with -2 and y with 4:-

[tex]\sf{7(-2)-3(4)-1}[/tex]

On simplification,

[tex]\sf{-14-12-1}[/tex]

On further simplification,

[tex]\sf{-27}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

B

Step-by-step explanation:

Median value = 14    ( the number in the middle of the ascending-order list)

2 quartile   25% are below 11

3 quartile    25% are above 18

min 9       max = 20

Answer:

i think it's b

Step-by-step explanation:

Answer:

160 m

Step-by-step explanation:

Length of running track = Total Length of straight sections + Total length of curved sections

Solving :

⇒ 400 m = 2 x 120 m + Total Length of curved sections

⇒ Total Length of curved sections = 400 m - 240 m

⇒ Total Length of curved sections = 160 m

Answer:

1st horizontal lines is 2,5,8=15

2nd horizontal line 4,5,6

vertical line 5,5,5

Answer:

See below ~

Step-by-step explanation:

Answer: 1333.(3)

Step-by-step explanation:

Let her monthly income be x. Then,

(1/10)x + (1/8)x = 300

(4/40)x + (5/40)x = 300

(9/40)x = 300

x = 300 / (9/40)

x = 300*40/9

x = 12000/9

x = 1333 1/3 = 1333.(3)

Answer:

The quotient of seven and p

7 / p

Answer:

C. $16.95

Step-by-step explanation:

Median is putting the numbers in numerical order and finding the middle by  listing a number on each side off.

As there would need to be bigger numbers in order for the $17.99 to be in the middle, the smallest number would mess the order up.

Answer:

P(Not a 3)=0.85. This is option C.

Step-by-step explanation:

P(Not a 3) would include values 1,2 and 4.

Therefore, P(Not a 3) would be the combined totals of the probabilities of P(1), P(2) and P(4).

P(Not a 3)= P(1)+P(2)+P(4)

P(Not a 3)= 0.30+0.40+0.15

P(Not a 3)=0.85

Alternate method

P(Not a 3) is the same as 1-P(3)

P(Not a 3)=1-P(3)

P(Not a 3)= 1-0.15

P(Not a 3)=0.85

Find shift

f(x-6)

So

x is decreased 6 units

So

The graph will shift 6 units right

Graph attached

Answer:

shifted right

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Parent function:  [tex]f(x)=x^2[/tex]

Translated 6 units to the right:  [tex]f(x-6)=(x-6)^2[/tex]

Answer:

Step-by-step explanation:

Question 3

Question 4

Question 5

Answer:

Step-by-step explanation:

To convert degrees to radians: [tex]n(\frac{\pi }{180})[/tex] where n is degrees.

For n = 13

[tex]13(\frac{\pi}{180} ) = 0.229 radians[/tex] when rounded to the nearest thousandth

Answer:

1.75

Step-by-step explanation:

Finding average rate of change :

The average rate of change for P between 1992 and 2000 is -1.025.

The average rate at which one quantity changes in relation to another is known as the average rate of change function.

It can be determined by dividing the amount of one quantity's change by the amount of another quantity's change.

Average rate of change for a function 'f' in the interval [a, b] is,

A = f(b) - f(a) / (b-a)

So, the Average rate of change

= P(2000) - P(1992) / (2000 - 1992)

= (34.5 - 42.7) /(2000 - 1992)

= -8.2 / 8

= -1.025

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Answer:

[tex]\green{ \rule{500pt}{999999pt}}[/tex]

The number of folders and notebooks in the equation is given by 3 and 5 respectively.

let

The equation:

x + y = 8

0.50x + 1.0y = 6

From (1)

x = 8 - y

Substitute x = 8 - y into (2)

0.50(8 - y) + 1.0y = 6

4 - 0.50y + 1.0y = 6

4 + 0.40y = 6

4 - 6 = -0.40y

-2 = - 0.40y

y = -2 / 0.40

y = 5

Recall

x + y = 8

x + 5 = 8

x = 8 - 5

x = 3

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Answer: D

Step-by-step explanation:

The density of the material that this figurine was made from in pounds/inch³ is 0.183 lb/in³

To answer the question, we need to know what density is

Density is the mass per unit volume of a material.

It is given by ρ = m/v where

Now, given that the toy is dropped into a basin filled with water and found to displace 125.4 mL of water. It's volume is v = 125.4 mL

= 125.4 × 1 mL

= 125.4 × 0.0610237 in³

= 7.65237198 in³

Also, given that the figurine is then put on a scale and found to be 1.4 pounds in weight. It's mass is m = 1.4 lb

So, the density of the material ρ = m/v

ρ = 1.4 lb/7.65237198 in³

ρ =  0.183 lb/in³

So, the density of the material that this figurine was made from in pounds/inch³ is 0.183 lb/in³

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Answer:

Everything is in the picture

Answer: 3 coupons

Step-by-step explanation:

       We will divide the total amount of money spent by the amount of money needed to spend to receive a coupon.

$600 / $200 = 3

         Sarah would get 3 coupons.

Answer:

x plus y

Step-by-step explanation:

because if lawns is y and earnings are $35 per lawn, then y (lawn) plus $40 per car(x) is y plus x... Hope it helped??

Answer:

√5 is the answer

Answer:

$8,051.62

Step-by-step explanation:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substituting given values into the formula:

[tex]\implies \sf A=5000(1+\frac{0.06}{4})^{4 \times 8}[/tex]

[tex]\implies \sf A=5000(1.015)^{32}[/tex]

[tex]\implies \sf A=8051.62\:(nearest\:hundredth)[/tex]

Rate of interest

So

Compound ineterest formula to be used

Answer: See attached, the top right

Step-by-step explanation:

      What is an outlier? An outlier, in a data set, is a data value that is outside the overall pattern of distribution.

   This means the answer to your question is the top right because the data value of 13 is outside the overall pattern, hence an outlier.

Answer:

The 2nd one on the top

Step-by-step explanation:

It's that one because it goes from 8 to 13 and that's a big jump causing it to be the outlier.

Answer:

The factorisation of 405

405 = 5x3x3x3x3

Answer:

405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5

Step-by-step explanation:

I'll factor 405 with the Factor Tree Method.

Step 1: Place the number 405 on top of the factor tree.

Step 2: Notice that 405 can be divided by 5 -> 405 = 5 x 81. The two branches from 405 become 5 and 81.

Step 3: Continue factorizing other numbers in the tree until you are left only with the prime factors, which you cannot further factorize.

Step 4: Write the number as the product of prime factors you got.

405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5

Answer:  0.3 feet

Work Shown:

(1 ft)/(150 ft) = (x ft)/(40 ft)

1/150 = x/40

1*40 = 150*x

40 = 150x

x = 40/150

x = 4/15

x = 0.2667 approximately

x = 0.3

Note: 0.3 ft = 0.3*12 = 3.6 inches

Answer:

C

Step-by-step explanation:

In the unit circle

cos x corresponds with x

sin x corresponds with y.

Here, they are both negative so the angles lies in the third quadrant because both x and y is negative in the third quadrant

Step-by-step explanation:

the other answer we is correct.

here a few words about why :

the quadrants in a circle start in the right top corner. so, right top is number I.

left top is number II.

left bottom is number III.

right bottom is number IV.

simply because this goes with the growing angle. the angle starts at 0° at the right center. and then it grows counterclockwise and goes all around the circle until reaching 360° being equal to 0° again.

Answer:

E (10, 15)

Step-by-step explanation:

Plotting the points on a graph : (Check attachment)

On plotting the points, and joining a line that connects all points except one, it becomes evident that the point not on the line is :

Answer:

E

Step-by-step explanation:

Answer:

106

Step-by-step explanation:

Using it's concept, it is found that the period of the function graphed is of 2.244 seconds.

The period of a function is given by the distance between it's repetitions.

In this graph, one example is that the value of 6 repeats at t = 1.87 and at t = 4.114, hence the period in seconds is given by:

P = 4.114 - 1.87 = 2.224.

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Answer:

1. Yes, all sides are congruent

2. Yes, the opposite sides are parallel

3. Yes, adjacent sides are perpendicular