if a1= 7 and r=3, find a4

Answers

Answer 1

Answer:

a4 = 189

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient r between consecutive terms is always the same.

The nth term of the sequence is given by:

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

In which [tex]a_1[/tex] is the first term.

In this question:

[tex]a_1 = 7, r = 3[/tex]

The fourth term is:

[tex]a_4 = 7*3^3 = 189[/tex]

So

a4 = 189


Related Questions

what's the standard equation of the circle with the general equation x2 + y2 + 4x - 2y - 20 = 0

Answers

Answer:

(x+2)2+(y-1)2=25

Step-by-step explanation:

x2+y2+4x-2y+4+1=20+4+1

I need help on this please!
No links
Study guide for exam.

Answers

answer:
area = 246.49
perimeter = 31.4

step-by-step explanation:
area of a circle = πr^2
π5^2
15.7 rounded ^2
246.49
looking for circumference
c = 2πr
6.28(5)
31.4
i will help you on 2 once you tell me the radius or diameter of the circle

Plzzzzz helpppp, Find the value of x

Answers

Answer:

51

Step-by-step explanation:

Which of the following three-dimensional solids cannot be generated by rotating a two-dimensional figure around an axis?
sphere

pyramid

cylinder

cone

Answers

Answer:

Step-by-step explanation:

Sphere

You start driving east for 18 miles, turn right, and drive south for
another 5 miles. At the end of driving, what is your straight line
distance from your starting point? Round to the nearest tenth of a
mile.

Answers

Answer:

18.7

Step-by-step explanation:

Use the Pythagorean Theorem.

Simplify.

Simplify.

Square root both sides

Simplify. Ignore negative root, as length must be positive.

Round to the nearest tenth.

Answer:18.7

Step-by-step explanation:

QUESTION 2.
Trevor bought new sneakers originally listed for $64.99. They are 15% off. Which equation can be used
to find the amount Trevor will save?

A. X= 1.15(64.99)
B. x = 15(64.99)
C. x = .85(64.99)
D. x = .15(64.99)

Answers

Answer:

c

Step-by-step explanation:

Can someone help me with this?

Answers

Answer:

I can help you via Watsapp


What is the quotient if
1/3 of 10 is divided by 1/7 of 8/12? Reduce if possible.

Answers

Answer:

2.75

Step-by-step explanation:

Calvin wrote inequalities to compare the heights, in feet, of rivers above or below flood stage.
Select all of the inequalities that are correct.
A. -10 > -9
B. 1> -18
C. -25 > -30
D. 3 < -5
E. -10 < 3

Answers

Answer:

I'm not 100% sure but I think its B. 1> -18

Line A passes through the point (-8, 3) and is perpendicular to the line represented by the equation
y = -4x + 9. Line A can be expressed as an equation of the form y = mx + b.
Part A
What is the value of m for line A?
Part B
What is the value of b for line A?

Answers

Answer:

Did u get the answers ?

Step-by-step explanation:

I need help lol

Answer: A: -4 B:-29

Step-by-step explanation:

Plz help me well mark brainliest if correct.....????

Answers

Answer:

The answer would be C. 31

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

15 Girls like fantasy books and 16 boys like fantasy books so in total the students that like fantasy books are 31.

hope this helps,have a great day!!

~Pinky~

The numbers x, y, z and w have an average equal to 25. The average of
x, y and z is equal to 27. Find w.
A. 23
B. 19
C. 25 D. 29​

Answers

Answer:

look at the picture i sent

A recent study1 examines chocolate’s effects on blood vessel function in healthy people. In the randomized, double-blind, placebo-controlled study, 11 people received 46 grams (1.6 ounces) of dark chocolate (which is naturally flavonoid-rich) every day for two weeks, while a control group of 10 people received a placebo consisting of dark chocolate with low flavonoid content. Participants had their vascular health measured (by means of flow-mediated dilation) before and after the two-week study. The increase over the two-week period was measured, with larger numbers indicating greater vascular health. For the group getting the good dark chocolate, the mean increase was 1.3 with a standard deviation of 2.32, while the control group had a mean change of -0.96 with a standard deviation of 1.58.
Find a 90% confidence interval for the difference in means between the two groups MC-MN , where MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day and MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day. You may assume that neither sample shows significant departures from normality.
Round your answers to two decimal places.

Answers

Answer:

CI = (0.68, 3.84)

Step-by-step explanation:

We want to find the confidence interval for the difference in means between the two groups MC and MN.

where;

- MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day.

- MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day.

We are given;

Sample mean of C; x'c = 1.3

Sample mean of N; x'n = -0.96

Standard deviation of C; S_c = 2.32

Standard deviation of N; S_n = 1.58

Sample size of C; n_c = 11

Sample size of N; n_n = 10

Formula for the confidence interval for the difference in means is;

CI = (x'c - x'n) ± t√[(S_c²/n_c) + (S_n²/n_n)]

Where t is critical value at confidence level. From table attached, t at CL of 90% with DF = 10 - 1 = 9 is; t = 1.833

Thus;

CI = (1.3 - (-0.96)) ± 1.833√[(2.32²/11) + (1.58²/10)]

CI = [(1.3 + 0.96)) - 1.833√[(2.32²/11) + (1.58²/10)], [(1.3 + 0.96)) + 1.833√[(2.32²/11) + (1.58²/10)]

CI = (2.26 - 1.58), (2.26 + 1.58)

CI = (0.68, 3.84)

These triangles are:
A) congruent,
B) similar or
C) neither.

Answers

Answer:

B similar

Step-by-step explanation:

Both of these triangles have the same proportions and angles even though they are different sizes, making them similar.

Have a most wonderous day!

Answer:

it should be similar

Step-by-step explanation:

I hope this helps

The knockoff Jersey store sold 6 more Leafs jerseys than Senators. Four times the number of Senators Jersey sold plus three times the number of Leafs jerseys sold is 102. How many Leaf Jerseys were sold?

Answers

Answer:

72

Step-by-step explanation:

6x4=24x3=72

A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.
y = 0 + 1x + 2x2 +
where
y = traffic flow in vehicles per hour
x = vehicle speed in miles per hour
The following data were collected during rush hour for six highways leading out of the city.
Traffic Flow () Vehicle Speed ()
1256 35
1330 45
1226 30
1335 50
1349 50
1124 25
a. Use the data to compute the coefficients of this estimated regression equation (to decimals).
b. Using , test for a significant relationship. (to decimals) -value (to decimals) The relationship - Select your answer - significant.
c. Estimate the traffic flow in vehicles per hour at a speed of miles per hour (to decimals). vehicles per hour.

Answers

Answer:

I don't know this stuff yet but I'll keep looking

Find the LCD of the given rational equation: 9/x-1+-3x/x+6=4x/x^2-7x+6

Answers

Answer: the answer would be A.

(x-1)(x-6)(x+6)

Step-by-step explanation:

a p e x

The LCD of the given expression is (x-1)(x-6)(x+6).

What is LCD?

The least common denominator (LCD) is the smallest number or expression that can be a common denominator for a set of fractions.

What is the LCD in the given expression?

Factor the denominator of the right side of the equation.

[tex]\frac{9}{x-1}-\frac{3x}{x+6}=\frac{4x}{(x-1)(x-6)}[/tex]

From this, it is conclude that the common denominator will be [tex](x-1)(x-6)(x+1)[/tex].

Therefore, the LCD of the given expression is (x-1)(x-6)(x+6).

Learn more:https://brainly.com/question/2004756

#SPJ2

Two functions are shown in the table below.

Function - 1,2,3,4,5,6

f(x) = −x2 + 4x + 12
g(x) = x + 8
Complete the table on your own paper, then select the value that is a solution to f(x) = g(x).

x = 6
x = 3
x = 5
x = 4

Answers

Answer:

[tex](d)\ x = 4[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -x^2 + 4x + 12[/tex]

[tex]g(x) = x + 8[/tex]

Required

Find x such that: [tex]f(x) = g(x)[/tex]

This gives:

[tex]-x^2 + 4x + 12 = x+8[/tex]

Collect like terms

[tex]-x^2 + 4x -x + 12 -8=0[/tex]

[tex]-x^2 + 3x +4 =0[/tex]

Expand

[tex]-x^2 + 4x - x+4 =0[/tex]

Factorize

[tex]x(x - 4) - 1(x-4) = 0[/tex]

Factor out x - 1

[tex](x- 1)(x - 4)=0[/tex]

Solve:

[tex]x =1\ or\ x = 4[/tex]

WILL




GIVE


BRAINLIST ANSWER

Answers

Answer:

22 is the range for the data set.

stay safe healthy and happy.

22:) hope this helps

PLEASE HELP WITH THIS ASPA 3/8 divided by-3/5

Answers

Answer:

Step-by-step explanation:

When Natalie runs the 400 meter dash, her finishing times are normally distributed with a mean of 71 seconds and a standard deviation of 2.5 seconds. What percentage of races will her finishing time be between 71 and 77 seconds, to the nearest tenth?

Answers

Answer:

49.2%

Step-by-step explanation:

What are the volume and the surface area of this storage chest?

Answers

Someone plz help me with mine plz I’m sorry

Answer:

Hello!

answer: volume is 18

answer: surface area is 44

Hope that helps!

A frozen yogurt shop charges $1.50 for a cone plus $0.35 for each scoop of
frozen yogurt. Rose paid $2.90 for her frozen yogurt. How many scoops did
she have?
Type your answer...
PLS HELP PLS PLS!!

Answers

y=.35x+1.5
2.90=.35x+1.5
.35x=1.4
x=4
Therefore, Rose had 4 scoops.

The hypotenuse of a right triangle is 13 m long. The shorter leg is 7 m shorter than the longer leg. Find the side lengths of the triangle. Length of the shorter leg: m Length of the longer leg: m Length of the hypotenuse: m​

Answers

Answer: Shorter: 5 m Longer: 12m Hypotenuse: 13 m

Step-by-step explanation:


Find the distance between the points (-15, 3) and (-9, 8).

Answers

I know the answer but I need you to answer my math questions first

Answer:

61 units

Step-by-step explanation:

At the Silvermine Subs, they charge $5.75 for the basic sandwich and then $0.45 per ounce for the toppings. If Jordan paid for their sandwich with a $10 billhow many ounces of toppings could they have ordered?

Answers

Answer:

9.4 ounces

Step-by-step explanation:

this equation can be derived from the question

$5.75 + $0.45t = 10

where t = ounces of toppings

combine like terms

$0.45t = 10 - $5.75

$0.45t = $4.25

t = 4.25 / 0.45

t = 9.4 ounces

A windshield wiper turns through an angle of 150°. The top of the blade traces the are with a 20-inch radius. How long is the
arc?
A. 52.36 inches
B. 75.4 inches
C. 0.1308 inches
D. 3000 inches

Answers

Answer:

A

Step-by-step explanation:

Arc length is given by the formula:

[tex]\displaystyle s=2\pi r\frac{\theta}{360^\circ}[/tex]

Where r is the radius and θ is the central angle, in degrees.

The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:

[tex]\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)[/tex]

Use a calculator:

[tex]\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}[/tex]

Our answer is A.

1
Circle C has radius 5 and center C(6,-2).
Find the equation of circle C.
A (x + 6)2 + (y - 2)2 = 5
B (z - 6)2 + (y + 2)2 = 5
© (x+6)2 + (y - 2)2 = 25
D (z - 6)2 + (y + 2)2 = 25

Answers

C.. took the test. Answer should be c

Re write this expression 4(6 x +12)

Answers

Answer:

24 (x + 2)

24x + 48

these are two ways to rewrite the expression

Answer:

24x+48

Step-by-step explanation:

Right circular cylinder has volume and radius. Right circular cylinder is similar to cylinder and has volume. Find the radius of cylinder.

Answers

Answer: where’s the picture

Step-by-step explanation:

Hum

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