Find the nth term of the geometric sequence whose initial term is a1
= 0.5 and common ratio is 10
(Your answer must be a function of n.)

Answers

Answer 1

Answer:

Step-by-step explanation:

geometric progresion formula:

[tex]a_n=a_1*r^{n-1}\\a_1=0.5\\r=10\\a_n=0.5*10^{n-1}[/tex]


Related Questions

Can someone help me?

Answers

Answer:

The slope is 2

Step-by-step explanation:

Slope formula:

m=(y2-y1)/(x2-x1)

Given:

y2 = -10

y1 = -6

x2 = 2

x1 = 4

Work:

m=(y2-y1)/(x2-x1)

m=(-10 + 6)/(2 - 4)

m= (-4)/(-2)

m = 2

Write the numbers in a standard form:

57,900,000

227,900,000

1,427,000,000

Answers

Answer:

madarchud

bhag loudeye bsdk

What is the slope of the linear relationship shown in this table of values?​

Answers

Answer: -2 (b)

Step-by-step explanation:

So the slope of the line is the amount that the line changes as it goes along the x or y axis. Think of it like a ramp- goes up or down, steep or flat.

Take a pair of points like (-4, 11) and (2, -1)

{But you can use other points in the chart too. }

-4 to 2 is a distance of 6 --> that is the x

11 to -1 is a distance of -12 --> that is the y

We want the change in y over (or divided by) change in x.

-12 / 6 = -2

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 11) and (x₂, y₂ ) = (2, - 1) ← 2 ordered pairs from the table

m = [tex]\frac{-1-11}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2 → B

What is the amplitude of the sine graph shown??????plz help asapppp

Answers

Answer:

Amplitude = 2

Step-by-step explanation:

The amplitude is the distance between the midline and the maximum/minimum. Because the midline is located at y=1, then the maximum and minimum are both 2 units apart from the midline. That is your amplitude.

A team of researchers want to measure the distance covered while driving compared to a car's driving speed. Which statement is correct?
a. The speed of the car is a confounding variable.
b. The speed of the car is an explanatory variable.
c. The speed of the car is a response variable.
d. The speed of the car is a dependent variable.

Answers

Answer:

b. The speed of the car is an explanatory variable

Step-by-step explanation:

In the scenario above, the variable which the researcher intends to measure is the a distance covered by a car using the speed information available. The measured variable is the dependent variable as it outcome depends on the variable with which it is being measured, this is called the independent or explanatory variable.

Therefore, car speed is the explanatory or independent variable

Distance is the dependent, response or measured variable.

If A and B are two independent events with P(A)=2÷3 and P(B) =1÷5, find P(AUB).​

Answers

Answer:

[tex]for \: independent \: events : \\ P(AUB) = P(A) + P(B) \\ P(AUB) = \frac{2}{3} + \frac{1}{5} \\ = \frac{13}{15} [/tex]

Step-by-step explanation:

P(AUB) is P(A) + P(B) because P(AnB) is zero.

[tex]P(AUB) = P(A) + P(B) - P(A{ \huge{n} }B) \\ P(AUB) = P(A) + P(B) + 0[/tex]

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O GEOMETRY
Finding the side length of a rectangle given its perimeter or area
The area of a rectangular field is 3975 yd?. If the length of the field is 75 yards, what is its width?
yards
Х
?

Answers

Answer:

53 yds

Step-by-step explanation:

Its just 3975 divided by 75

5х – 4 y = -10
3х + 2y = 16

Answers

Answer:

x= 2, y= 5

Step-by-step explanation:

5x -4y= -10 -----(1)

3x +2y= 16 -----(2)

(2) ×2:

6x +4y= 32 -----(3)

(1) +(3):

5x -4y +6x +4y= -10 +32

11x= 22

x= 22 ÷11 (÷11 on both sides)

x= 2

Substitute x= 2 into (2):

3(2) +2y= 16

6 +2y= 16

2y= 16 -6

2y= 10

y= 10 ÷2

y= 5

Joseph leans a 20-foot ladder against a wall so that it forms an angle of 69° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.

Answers

Answer:

18.67 ft

Step-by-step explanation:

     |\

     |   \

     |      \

h    |         \     20 ft

     |            \

     |               \

     |--        69°  \

     ---|----------------

For the 69° angle, h is the opposite leg, and 20 ft is the hypotenuse.

sin A = opp/hyp

sin 69° = h/20

h = 20 * sin 69°

h = 18.67

Answer: 18.67 ft

The pair of linear equations 2x-3y = 14 and 3x - 2y = 4 has solution(s).

answer plz....​

Answers

Answer:

2x -3y =1 and 3x-2y= 4 has

Step-by-step explanation:

The pair of linear equations 2x-3y=1 and 3x-2y=4 has one unique solution. , then it has a unique solution other wise not. Since , , it means the pair of linear equations has only one unique solution. Hence, the pair of linear equations 2x-3y=1 and 3x-2y=4 has only one unique solution.

a1/a2= 2/3

b1/b2= 3/-2 (-) cancle so it remains

c1 / c2 = 1/4

a1/a2 = b1/b2 not equal to c1/c2 as no solution

between which two consecutive numbers does the square root of 90 lie

Answers

Answer:

It lies between the number 9 and 10.

Step-by-step explanation:

Your Welcome, hope this helps:)

Answer:

We all know that every square root lies between the square root of two perfect squares. Hence, √90 lies between the consecutive numbers 9 and 10.

Step-by-step explanation:

k

8b - 5a + 4 for a = -4 and b = 7

If anyone gets this tysm

Answers

Answer:

80

Step-by-step explanation:

Given Question,

8b - 5a + 4

Given Values:

a = -4 and b = 7

Solution,

8(7) - 5(-4) + 4

= 56 + 20 + 4

= 80 (Ans)

Answer:

80

Step-by-step explanation:

8b - 5a + 4

a = - 4

b = 7

8(7) - 5(- 4) + 4

56 - (- 20) + 4

56 + 20 + 4

60 + 20

80

the ratio of the following 30 minutes to 2 hours.

Answers

Answer:

30 minutes to 120 minutes.

Step-by-step explanation:

Answer:

2 hrs=120 min

30:120=1:4

Step-by-step explanation:

ans is 1:4

marke brainliest plzzzzzzz

The graph of y = RootIndex 3 StartRoot x minus 3 EndRootis a horizontal translation of y = RootIndex 3 StartRoot x EndRoot. Which is the graph of y = RootIndex 3 StartRoot x minus 3 EndRoot?

On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (2.5, 0), and goes through (10, 2).
On a coordinate plane, a cube root function goes through (negative 10, negative 2), has an inflection point at (negative 3, 0), and goes through (4, 2).
On a coordinate plane, a cube root function goes through (negative 10, 1), has an inflection point at (0, 3), and goes through (8, 5).
On a coordinate plane, a cube root function goes through (negative 8, negative 5), has an inflectoin point at (0, negative 3), and goes through (8, negative 1).

Answers

Answer:

Its AAAAAAAAAAA

Step-by-step explanation:

The graph of y = RootIndex 3 StartRoot x minus 3 EndRoot the A is correct

We have given that,

The graph of y = RootIndex 3 StartRoot x minus 3 EndRootis a horizontal translation of y = RootIndex 3 StartRoot x EndRoot.

On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (2.5, 0), and goes through (10, 2).

What is the coordinate plane?

A coordinate plane is a two-dimensional plane formed by the intersection of a vertical line called the y-axis and a horizontal line called the x-axis. These are perpendicular lines that intersect each other at zero, and this point is called the origin.

On a coordinate plane, a cube root function goes through (negative 10, negative 2), has an inflection point at (negative 3, 0), and goes through (4, 2).

On a coordinate plane, a cube root function goes through (negative 10, 1), has an inflection point at (0, 3), and goes through (8, 5).

On a coordinate plane, a cube root function goes through (negative 8, negative 5), has an inflection point at (0, negative 3), and goes through (8, negative 1).

To learn more about the coordinate plane visit:

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tammy buys candy that cost 5 dollars per pound. she will spend more than 40 dollars on candy. what are the possible numbers of pounds she will buy

Answers

Answer:

Step-by-step explanation:

x = number of pounds

5x<30

x<30/5

so she can buy X<6 pounds

Which of the following is described by the notation AB || CD ?
A. Perpendicular lines
B. Intersecting lines
O C. Skew lines
D. Parallel lines



Answers

Answer:

D Parallel lines

Step-by-step explanation:

this is one of the easiest symbols there are.

2 little lines being perfectly parallel to each other. that symbolizes (surprise, surprise) that the two actually referenced lines are parallel.

The notation "AB || CD" represents parallel lines.

Explanation:

In geometry, parallel lines are lines that never intersect. They are always equidistant and maintain the same distance between each other at all points. The notation "AB || CD" indicates that line AB is parallel to line CD.

Perpendicular lines are lines that intersect at a 90-degree angle. The notation "AB || CD" does not represent perpendicular lines.

Intersecting lines are lines that cross or meet at a common point. The notation "AB || CD" does not represent intersecting lines.

Skew lines are lines that do not lie in the same plane and are neither parallel nor intersecting. The notation "AB || CD" does not represent skew lines.

Parallel lines are lines that do not intersect and maintain the same distance between each other at all points. The notation "AB || CD" explicitly indicates that line AB is parallel to line CD.

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Sue wants 1 / 3 of a rectangular pan of cornbread. Dena wants 1 / 2 of the same pan of cornbread. How should you cut the cornbread so that each of the girls gets the size portion she wants?

Answers

Answer:

Step-by-step explanation:

If RT is 10 centimeters long, what is ST?

Answers

Answer:

Answer: a

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

First, find x

RT = 2x + 3x

10 = 2x+3x

10 = 5x

10/5 = 2

Now place 2 in place of x in the line ST

ST = 3x

ST = 3 * 2

ST = 6

The Coordinate Plane
BRE
-2
В
The midpoint of AB = ([?],[ ])

Answers

Answer:

0,0

Step-by-step explanation:

how to write expression for The product of ten less than a number and the number

Answers

Answer:

x-10

Step-by-step explanation:

ten is less than x

follow me for more answer

Select all the numbers that show 4% as an equivalent fraction, decimal, or percent.
[] 0.04
[] 40%
[] 10
[] 4
[] 100
[] 0.4

Answers

0.04 is the only right one
All that can be devised by 4
Which is 0.04, 40, 4, 0.4

10 and 100 can’t

4th grade math question:

jessica bought 4 gallons of paint. Jessica needed to use 3/4 of the paint to paint her living room and dining room. How many gallons did she use, write the number of gallons.

Answers

Answer:

1 gallon

Step-by-step explanation:

gallons of paint needed; 4

gallons used: (3/4)*4

= 1 gallon was used

Answer:

Answer is 3 gallons

Step-by-step explanation:

1 gallon= 25%

2 gallons=50%

3 gallons=75%

3/4 is equivalent to 75%

Hope this helped!

which statement is true?

Answers

Answer:

The slope of function A is greater than the slope of function B

hope it is helpful to you

Function a is greater than the function b

Simplify the following expression.

29.718 - 29.63

Answers

Answer:

0.088 is the answer...

what is this equation, equivalent to c(x)=(x+6)^2+14

Answers

Answer:  x^2+12x+50

Work Shown:

c(x) = (x+6)^2+14

c(x) = (x+6)(x+6)+14

c(x) = x(x+6)+6(x+6)+14

c(x) = x^2+6x+6x+36+14

c(x) = x^2+12x+50

what is A big rubbing alcohol holds 2 liters . How many milliliters is this​

Answers

Answer:

it equals 2000 mililiters

Step-by-step explanation:

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.12 and the probability that the flight will be delayed is 0.08. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is raining if the flight leaves on time? Round your answer to the nearest thousandth.

Answers

Answer:

0.109 = 10.9% probability that it is raining if the flight leaves on time.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Conditional probability:

Event A: Leaves on time

Event B: Raining

Probability that the flight will be delayed is 0.08.

So 1 - 0.08 = 0.92 probability that it leaves on time, that is, [tex]P(A) = 0.92[/tex]

The probability that it will not rain and the flight will leave on time is 0.82.

0.92 - 0.82 = 0.1 probability it is raining and the flight leaves on time, so:

[tex]P(A \cap B) = 0.1[/tex]

What is the probability that it is raining if the flight leaves on time?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.92} = 0.109[/tex]

0.109 = 10.9% probability that it is raining if the flight leaves on time.

PLS HELP!
Two angles are complementary. Draw a diagram that illustrates the complementary angles. One angle measures 35° and the other measures (x + 15)°. What is the value of x?

Answers

Answer:

40°

Step-by-step explanation:

Isolate x. Complementary angles sum up to 90°, so that’s where you start

35+(x+13) = 90

35+(x+15)-35 = 90-35 (subtract 35)

x+15=55

x+15-15=55-15 (subtract 15)

x=40

To find the secong angle’s measure, just substitute x for 40. 40+15=55

I can’t draw a diagram, but two angles put together with measurements 40° and 55° should do the trick

please help this is due today! geometry

Find the distance between the points (4.3) and (0, 3).

Answers

Please mark brainliest

Answer is 4 units

Explanation:

See the image as mathematical signs can’t be written here



Jared flicked the arrow on this spinner four times, and the arrow landed on green each time. If Jared spins the arrow a fifth time what is the theoretical probability that it will land on green

Answers

Answer:

The correct answer would be 3/8.

Step-by-step explanation:

There are 3 greens on this spinner , and 8 in total , so there’sa probability of 3% that the arrow will land on green again .

The theoretical probability that it will land on green is 1.

What is the probability?

It is the likeliness of happening an event. It is calculated by the following formula:

Probability=number of events/number of total events.

How to calculate the probability?

Jared had flicked the arrow all the four times on the green ,it means that the probability that it is landed on green each time is 100%. So the probability that it will land on green fifth time also is 1.

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