If a1 = 7 and an = an-1 + 4 then find the value of a4.

Answers

Answer 1

Answer:

[tex]a_4=19[/tex]

Step-by-step explanation:

Given:

[tex]a_1=7[/tex][tex]a_n=a_{n-1}+4[/tex]

[tex]\implies a_2=a_{1}+4=7+4=11[/tex]

[tex]\implies a_3=a_{2}+4=11+4=15[/tex]

[tex]\implies a_4=a_{3}+4=15+4=19[/tex]

Answer 2

Put values get answer

a_n=a_(n-1)+4a_4=a_3+4a_4=a_2+4+4a_4=a_1+4+4+4a_4=7+12a_4=19

Related Questions

5. What's true of the distribution of any variable, if your model is the mean of that variable? A The distribution of the variable is more narrow than the distribution of its residual. The distribution of the variable is more narrow than the distribution of its residual. B The distribution of the variable is always centered on a number lower than the distribution of the residual is centered on. The distribution of the variable is always centered on a number lower than the distribution of the residual is centered on. C The distribution of the variable is always centered on 0, whereas the center of the distribution of its residual is unpredictable. The distribution of the variable is always centered on 0, whereas the center of the distribution of its residual is unpredictable. D The distribution of the variable is the same shape as the distribution of its residual

Answers

The true statement about the distribution of any variable model around the mean is (D) The distribution of the variable is the same shape as the distribution of its residual

The true statement about the distribution

From the question, we understand that the distribution of the model is based on its mean or average value.

The above means that the upper and the lower deviations are balanced.

Hence, the true statement about the distribution of any variable model around the mean is (D)

Read more about distribution at:

https://brainly.com/question/15713806

WILL GIVE BRAINLIEST

Answers

Distance formula: distance = sqrt((x2-x1)^2 + (y2-y1)^2)


distance = sqrt((-2 - -9)^2 + (-2 - -6)^2)

Distance = sqrt( 7^2 + 4^2)

Distance = sqrt(49+ 16)

Distance = sqrt(65)

Answer is c. Sqrt(65)

Answer: the answer is c which square root 65

Step-by-step explanation: hope it is correct .

A, B & C form a triangle where Z BAC = 90°.
AB = 4.2 mm and CA = 1.5 mm.
Find the length of BC, giving your answer rounded to 1
DP.
mm
BC =

Answers

Answer:

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

A, B, C, ZBAC=90°

AB=4.2mm

CA=1.5mm,

DP

mm

BC

hope this helps

Answer:

BC = 4.5 (1 dp)

Step-by-step explanation:

Pythagoras’ Theorem

[tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = AC = 1.5b = AB = 4.2c = BC

Substituting these into the formula and solving for BC:

[tex]\implies 1.5^2+4.2^2=BC^2[/tex]

[tex]\implies 2.25+17.64=BC^2[/tex]

[tex]\implies BC^2=19.89[/tex]

[tex]\implies BC=\pm\sqrt{19.89}[/tex]

As distance is positive,

⇒ BC = 4.5 (1 dp)

Milk Glass A has a diameter of 3.5 inches and a height of 4 inches . Glass B has a radious of 1.5 inches and a height of 5 inches. Which glass can hold more milk

Answers

Answer:

Milk Glass A can hold more milk.

Step-by-step explanation:

This problem mostly relies on the diameter of the milk glass.

To solve the problem, we'll find the volume of each glass as though it were a cylinder.

First, we start with the area of the base of each cylinder.

Using the formula [tex]\pi r^{2}[/tex], we can find the area of each base.

Note that r represents radius, which is half of the diameter, d.

The area of the base on Milk Glass A can be found with: [tex]\pi 1.75^2[/tex] which equals 9.62 inches squared.

The area of the base on Milk Glass B can be found with: [tex]\pi 0.75^2[/tex] which equals 1.77 inches squared.

Now that we have the area of each base, we just multiple the area by the height to get the full volume.

The volume of Milk Glass A can be found by multiplying [tex]9.62*4[/tex] which equals 38.48 cubic inches.

The volume of Milk Glass B can be found by multiplying [tex]1.77 *5[/tex] which equals 8.85 cubic inches.

Therefore, the larger answer of 38.48 cubic inches means Milk Glass A can hold more milk.


Please help me I’ve asked this questions several times and I really need help with this I do not understand it at all

Answers

Answer:

(-5,-2)

(-4,-3)

(-6,-1)

Step-by-step explanation:

-5(x)-2(y)=-7

-4(x)-3(y)=-7

-6(x)-1(y)=-7

The first four terms of a sequence are shown.

−1/2, −3/10, −9/50, −27/250, ...

What is the formula for the sequence?

Answers

Answer: -1.088

Step-by-step explanation:

I’m sorry if it’s wrong

find the range Q1 and Q3 for the set of values, 36,36,48,65,75,82,92,101

Answers

The rang is based on values so maybe the range is 92

What’s the lowest number that could be used in the numerator to make the comparison ?/5>1/4 true.

Answers

Answer:

2

Step-by-step explanation:

If there is a lower number, please show me as I only see 2/5 as the lowest answer (not including a fraction of a fraction.

Answer:

2/5

Step-by-step explanation:

Find the surface area and volume, GIVING BRAINLY

Answers

[tex]\bold{ANSWER:}[/tex]
1040.91 mm^2

[tex]\bold{EXPLANATIONS:}[/tex]

pls help.
im rlly struggling




question: what are the coordinates of the vertices of the image?

Answers

Answer:

See below

Step-by-step explanation:

(x,y )  will transform to  ( y, -x)

so all of the coordinates will be   (clockwise from top left)

5,-2   5,-4    4,-4     4,-3   2,-3   2,- 2

A greenhouse owner wants to test the effectiveness of a new fertilizer on African violets. She has 60 violet
seedlings that were grown for 8 weeks. She wants to test the new fertilizer on 10 of the plants, and decides to use
a simple random sample to select them. Which of the following statements is true?
She needs to select the 10 biggest plants to test the new fertilizer.
She needs to select the 10 smallest plants to test the new fertilizer.
She needs to number each plant 1-60 and randomly select 10 plants.
She needs to put the plants in 6 groups of 10 and randomly select 1 of the groups.

Answers

Answer:

1 - 60

Step-by-step explanation:

She needs to number each plant 1-60 and randomly select 10 plants.

Can someone please give me the (Answers) to this? ... please ...

I need help….

Answers

Step-by-step explanation:

the law of sine

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and associated angles are always opposite to each other.

and the sum of all angles in a triangle are always 180°.

sin(90) = 1.

4.

there are multiple solutions, as the direction they are going has no relevance to their position to each other right now.

and the angles of depression can be forward or backwards of the plane.

the larger the angle of depression, the closer the ship is.

for the closer ship we get

height/sin(35) = ground distance / sin(180-90-35)

265/sin(35) = ground distance / sin(55)

ground distance (plane to closer ship) =

= 265×sin(55)/sin(35) = 378.4592218... m

for the farther ship we get

height/sin(25) = ground distance / sin(180-90-25)

265/sin(25) = ground distance / sin(65)

ground distance (plane to closer ship) =

= 265×sin(65)/sin(25) = 568.2943339... m

the distance of both ships is

568.2943339... - 378.4592218... = 189.8351121... m

now, this distance applies to the case, where both ships are on the same side of the plane.

if they are on different sides of the plane, then we need to add their individual distances from the plane to get the distance of both ships from each other :

568.2943339... + 378.4592218... = 946.7535557... m

5.

another right-angled triangle.

the string is the Hypotenuse (baseline).

the height and the ground distance are the legs.

so, we get

100/sin(90) = height/sin(52) = 100

= ground distance / sin(180-90-52)

height = 100×sin(52) = 78.80107536... m

ground distance = 100×sin(38) = 61.56614753... m

Find the derivative
g(t)=7t4 –4t3 +6t2 +9t–19

Answers

Answer:

28t³ - 12t² + 12t + 1

Step-by-step explanation:

Derivative Rule

xⁿ = nxⁿ⁻¹

Solving

g(t) = 7t⁴ - 4t³ + 6t² + 9t - 19g'(t) = 4(7t)⁴⁻¹ - 3(4t)³⁻¹ + 2(6t)²⁻¹ + 1(9t)¹⁻¹ - 0g'(t) = 28t³ - 12t² + 12t + 1

Solve using the Elimination Method

x - 2y = 4
3x + 4y = 2​

Answers

Answer: x=2, y=-1

Step-by-step explanation:

Step 1) Make both equations have the same coefficient

What I mean by this is make either y or x have the same number multiplied to them so that we can eliminate. We can do this by multiplying everything in the first equation by 2.

[tex](2)x - (2)2y = (2)4\\2x-4y=8[/tex]

Step 2) Add the equations together to eliminate y

[tex]2x - 4y = 8\\+3x + 4y = 2\\5x+0=10\\5x=10[/tex]

Step 3) Solve for x

[tex]\frac{5x}{5} =\frac{10}{5} \\x=2[/tex]

Step 4) Sub the value of x into an equation and solve for y

[tex]x-2y=4\\2-2y=4\\2-2-2y=4-2\\-2y=2\\\frac{-2y}{-2} =\frac{2}{-2} \\y=-1[/tex]

Bryan and Jadyn had barbecue potato chips and soda at a football party. Bryan ate 5oz of chips and drank 1 cup of soda for a total of 650mg of sodium. Jadyn ate 1oz of chips and drank 5 cups of soda for a total of 250mg of sodium. How much sodium is in 1oz of chips and how much is in 1 cup of soda?

Answers

Answer:190 mg of sodium in 1 oz of chips and 40 mg for 1 cup soda.

Step-by-step explanation:

Is the following a statistical question?
How much do new cars cost?
yes
no

Answers

Answer:

i think it is "yes"

Step-by-step explanation:

hope this helps you!

Answer:

The answer is yes.

Step-by-step explanation:

Statistical questions mean there are different responses. and not just one simple answer.

number story for 4 divided by 1/8

Answers

Answer:

32

Step-by-step explanation:

4 ÷ 1/8

4/1 · 8/1 = 32/1

32

I hope this helps & God bless!

what is the area of a 14cm square?

Answers

Answer:

196

Step-by-step explanation:

the area of a square is simple its just a=length time width, so you just plug in youre length which is 14 and a square side are all the same size so the width is also 14, so your equation is a=14 times 14= 196. ;) hope that helped.

If Emily walks to school at 3 miles per hour, the walk takes 20 minutes. If she rides her bike to school at 5 miles per hour, how long will the trip take her?​

Answers

Answer:

40 minutes

Step-by-step explanation:

I think this is the correct answer

I hope I helped you

sorry if I got it wrong btw

The diagram shows a prisim
Draw the front elevation and the side elevation of the prism on the grids.
use a scale of 2 squares to 1m​

Answers

Because 2 squares equal a meter u have to do four up down one. (Front elevation)
Then just four by one square on second row down(side elevation)

what is the number of possible outcomes if two quarters are tossed at the same time and the numbers of heads and tails are counted

Answers

in how many combinations can acommittee consisting of 4 men and 3 women be chosen from 8 men and 6 women

What does ƒ(x) = 3x − 1, for ƒ(-2) mean?
A. It means to output a -2 into the function to find the input.
B. It means to subtract 2 from the function.
C. It means to input a -2 into the function to find the output.
D. None of these choices are correct.

Answers

Answer:

C. It means to input a -2 into the function to find the output.

Step-by-step explanation:

f(x) means to the function of x. The question is asking you to input -2 for x and find the answer.

Ms. Upton spends a total of $42 for 3 sweaters for her children. Each sweater costs the same amount. How much does each sweater cost?

Which equation can be used to find the answer?



Group of answer choices

42 + S= 3

S= 423

S=42*3

S-42=3

Answers

Answer:

The answer would be $14 a sweater.
And S=42*3 (If * is a divide by sign)

Step-by-step explanation:

Step 1. Find the equation. If $42 is total then we know to to divide that number by three getting the equation S=42*3.
Step 2. Do the math. 42 divided by 3 is 14, meaning 14 dollars per sweater.
I hope this helps! :)

What’s 56,105 minus 15 percent

Answers

Answer:

833

Step-by-step explanation:

First find the 15% of 56,105;

[tex]\frac{15}{100}[/tex] * 56,105 = x

0.15 * 56,105 = x

882 = x

Now subtract 15% of 56,105 from 56,105;

15% of 56,105 = 882

now;

56,105 - 882 = 833

Hope this helps!

883 would be the correct answer

If a polynomial function f(x) has the zeros -3, 1, 2 i and -2i, write a
polynomial function in standard form. SHOW ALL WORK

Answers

Answer:1

1

Step-by-step explanation:1

Given circle E with diameter CD and radius EA. AB is tangent to Eat A.
If AD = 14 and CD = 26, solve for AC. Round your answer to the nearest
tenth if necessary. If the answer.cannot be determined, click "Cannot be
determined."

Answers

The hypotenuse is equal to the square of the other two sides. The length of AC from the diagram is 21.9feet

Application of pythagoras theorem

The theorem states that the square of the hypotenuse is equal to the square of the other two sides

Given the following

Hypotenuse = 26 feet = CD
Base side = AD = 14ft

Required

Length AC

Use the theorem

26^2 = 14^2 + AC^2

AC^2 =  676 - 196
AC^2 = 480
AC = 21.9feet

Hence the length of AC from the diagram is 21.9feet

Learn more on pythagoras theorem here: https://brainly.com/question/343682

Answer:

Given circle E with diameter CD and radius EA. AB is tangent to E at A. If
CD = 8, solve for AD. Round your answer to the nearest tenth if necessary. If the
answer cannot be determined, click "Cannot be determined.

Step-by-step explanation:

ou earn $17.50/hr and work 40 hr/wk. Your deductions are FICA (7.65%), federal tax withholding (12.3%), and state tax withholding (6.2%). Your housing and fixed expenses are 30% of your realized income per month. You want to save 5 months' worth in an emergency fund within a year. How much do you need to save per month to fund the emergency fund?

Answers

Step-by-step explanation:

MARK A BRAINLESS THIS ANSWER IS CORRECT

HELPPP PLSSSSSSSSSSSSSSSS!!!!!!

Answers

Answer:

£6633.04

Step-by-step explanation:

Compound interest is worked out by using decimal multipliers on a calculator basically,

so,

6000 x 1.034 (because 3.4% = 0.034)

but you want it for three years so you would do

6000 x 1.034 x 1.034 x 1.034

hope that helped

Given that a student is in 10th grade, what is the probability that the student is also not involved in after-school activities? 0.43 0.45 0.55 0.57

Answers

Answer:D

Step-by-step explanation:

Use the drop-down menus to correctly relate each pair of number using <>=


0.62 _0.062

0.62 _ 0.620

0.725 _0.75

0.65 _0.091

Answers

1. 0.62 > 0.062
2. 0.62 = 0.620
3. 0.725 < 0.75
4. 0.65 > 0.091
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