A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
A. 10
B. 13
C. 31
D. 34

Answers

Answer 1

9514 1404 393

Answer:

  C.  31

Step-by-step explanation:

The recursive definition tells us the 4th term is 22 and the common difference is -3. This lets us write an explicit formula for the n-th term:

  f(n) = f(4) +d(n -4)

  f(n) = 22 -3(n -4) = 34 -3n

Substituting n=1 into this formula, we get ...

  f(1) = 34 -3(1) = 31

The first term is f(1) = 31.

Answer 2

Answer:

31

Step-by-step explanation:


Related Questions

The heights of male are normally distributed with mean of 170 cm and standard deviation

of 7.5cm. Find the probability that a randomly selected male has a height > 180 cm.

Answers

Answer:

0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 170cm and standard deviation of 7.5 cm.

This means that [tex]\mu = 170, \sigma = 7.5[/tex]

Find the probability that a randomly selected male has a height > 180 cm.

This is 1 subtracted by the pvalue of Z when X = 180. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{180 - 170}{7.5}[/tex]

[tex]Z = 1.33[/tex]

[tex]Z = 1.33[/tex] has a pvalue of 0.9082

1 - 0.9082 = 0.0918

0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.

Kelly paid $45.36 for a sweater that was on sale for 25% off the original price. She paid 8% sales tax on the sale price.

What was the original price of the sweater, in dollars​

Answers

The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.

Step-by-step explanation: Sorry if this doesn't help....

How do you use a number line to find 3/4 times 2/5

Answers

Answer:

First, you need to find the number 2/5 on the number line.

Now, you want to find (3/4) times (2/5)

Then the distance between 0 and the point you found earlier needs to be divided into four equal parts (because the denominator is 4)

sAnd because we have the factor (3/4), with a numerator equal to 3, we move from the origin 3 of these parts to the right, the point at where you arrived is the point (3/4)*(2/5)

Another way, which should give you the exact same point, is:

First locate the point (3/4) on the number line.

Now, you want to find (3/4) times (2/5)

The distance between zero and the denominator needs to be divided into 5 parts (because the denominator is 5)

Because the numerator is 2, you need to move, from the origin, two of these parts to the right.

The point where you end is the product (3/4)*(2/5)

HELP QUICK ITS TIMEDDDD WILL GIVE BRAINLYIST
How many triangles are formed by drawing a diagonal from vertex A to all non-adjacent vertices in a regular octagon?



A. 6
B. 5
C. 4
D. 3

Answers

Answer:

4

Step-by-step explanation:

just trust me

Answer:

its 6

Step-by-step explanation:

can i get the brainly?

Can someone answer 22 step by step?

Answers

HI! sorry, not trying to steal points but there’s no picture attached, so I can’t answer the question:(
Answer is 2/3 because once you subtract to isolate x, subtracting turns into division, therefore, you make it a fraction.
The equation has log base 2, so they have like bases, which means whatever number follows it is equal to x. In the case, 2/4

can someone please help me with this

Answers

Answer:

60 units^2

Step-by-step explanation:

area of triangle=base*height/2=8*15/2=120/2=60 units^2

Answer:

The answer would be 60 units ^2

Step-by-step explanation:

To find the area of a triangle, the formula is b x h (base times height) divided by 2. So in this case, the base would be 8 and the height would be 15. 8x15 = 120 divided by 2 (since it's a triangle) and the answer would be 60.

can someone help me with some of my math homework?

Answers

Answer:

H

Step-by-step explanation:

Answer:

H. -5x-50

Step-by-step explanation:

just distribution property

Simplify the following rational expression.
(HELP PLS?)

Answers

Answer:

Simplified expression: [tex]\frac{1}{y+8 }[/tex].

The value of y that makes the expression undefined is y=-8.

Step-by-step explanation:

[tex]\frac{2y^{3}}{2y^{4}+16y^{3}}[/tex]

= [tex]\frac{2y^{3}}{2y^{3}(y+8) }[/tex]

(cancel out 2y³)

=[tex]\frac{1}{y+8 }[/tex]

A rational expression is undefined when the denominator (bottom number) is  zero. So, if y equalled -8, the expression would ultimately equal [tex]\frac{1}{0}[/tex], which is undefined.

Is (1,8) a solution to the system of equations 3x+y=9 2x+9y=20​

Answers

No I don’t think so cause I just calculated the answer

-6x+5=47. What does x equal and how do I show my work

Answers

Answer:

X = -7

Step-by-step explanation:

-6x + 5 = 47

-6x +5 -5 = 47 - 5

-6x = 42

-6x/-6 = 42/-6

X = -7

Answer:

Hello There!!

Step-by-step explanation:

Write the equation: -6x+5=47

Takeaway 5 from both sides: -6x=42

Divide by -6 from both sides: x=-7

Therefore, x=-7.

hope this helps,have a great day!!

~Pinky~

solve the inequality
g/-100=6

Answers

Answer:

g = -600

Step-by-step explanation:

I don’t Understand this who can help me

Answers

Step-by-step explanation:

The area of a square is

[tex] {s}^{2} [/tex]

where s is the side length.

It is given that the smaller square side length is s so that means the area of that smaller square is the formula above.

The longer square is twice the side length of the side length of the smaller square.

Since all squares have equal sides, that means all the side are twice than the smaller square sides.

We can represent that larger square area by

(4s) squared

To find how many smaller squares it would take to fill the larger square divide the formula by each other.

(4s)÷s squared =4

Find the area of each figure. Use 3.14 for pi.

Answers

Answer:

23.14 m²

Step-by-step explanation:

square = 3 x 3 = 9 m²

the 4 semi-circles are equal to 2 complete circles, so:

radius = 3/2 = 1.5

semi-circles = (2)(3.14)(1.5²) = 14.14 m²

9 + 14.14 = 23.14 m²

PLS HELP IlL GIVE BRAINLIEST

Find the area of the polygon. Complete the explanation to show how you found your answer.

7 cm 7 cm polygon 5 cm 9 cm

Add the area of the top rectangle, 7 ×
=
to the area of the bottom rectangle, 9 ×
=
. The area of the polygon is
?
sq cm.

Answers

Polygons are easy to classify p

Please help me ill give brianliest

Answers

Answer:

61.25 cm^3

Step-by-step explanation:

V=whl=3.5·2.5·7=61.25

Rewrite the equation 8x + 6x^2 -7=x^2 in standard form and identify a, b, and c.

Answers

Answer:

[tex]5x^2+8x-7=0\\a=5\\b=8\\c=-7[/tex]

Step-by-step explanation:

The standard form of a quadratic is [tex]ax^2+bx+c=0[/tex]. You need to subtract the x^2 from the right to set the quadratic equal to 0. Then a,b, and c are equal to the values of the coefficients in front of the terms.

If this helped, a brainliest would be greatly appreciated!

A color printer prints 8 pages in 5 minutes.
How many minutes does it take per page?

Answers

Answer:

It takes 5/8 minutes or 0.625 minutes to print per page.

Step-by-step explanation:

The find the singular unit value of how long it would take per page you simply divide the amount that you are trying to figure out by the total amount of time you are taking and in this case it would be 5 divided by 8 in order to solve for the amount of minutes it takes per page.

Find the Volume.*
Of a 3x3 cube

Answers

Answer:

either 9 or 27

Step-by-step explanation:

most likely 27 because 3x3x3

Answer:

Cube number of 3 is 27

Step-by-step explanation:

cube of 3 is like 3×3×3 =27

Please please help no scams please ​

Answers

Answer:

between 6 and 7

Step-by-step explanation:

√39 = 6.244... which is between 6 and 7

also, you do not need a calculator if you know that the sq. rt. of 36 is 6 and the sq. rt. of 49 is 7. 39 is between 36 and 49.

6x- y^2 If x=4 And y=2​

Answers

Insert 4 for x and 2 for y in the equation

6(4) - (2)^2
24 - 4 = 20

Solve this system of equations by substitution.
y = 4x

2x + y = 6

Answers

blah blah blah multiply input divide
x=1
y=4
Ordered pair= (1,4)

A communications company is building a 30-foot antenna to carry cell phone transmissions. As shown in the diagram
below, a 50-foot wire from the top of the antenna to the ground is used to stabilize the antenna.
Find, to the nearest degree, the measure of the angle that the wire makes with the ground.

Answers

Answer:37

Step-by-step explanation: it’s

Elimination 5x -6y = -17. -3x -5y = -7

Answers

Answer:

x = -1 and y = 2

Step-by-step explanation:

3(5x - 6y = -17)

5(-3x - 5y = -7)

-----------------------      Add the two equations together

-43y = -86

y = 2

5x - 6(2) = -17          Substitute y with 2 in the first equation to get the value of x

x = -1

Answer:

x = -1

y = 2

Step-by-step explanation:

5x - 6y = -17

-3x - 5y = -7

I will eliminate variable x first:

Multiply the first equation by 3

15x - 18y = -51

Multiply the second equation by 5

-15x - 25y = -35

Now subtract the second equation from the first equation:

15x - 18y = -51

-15x - 25y = -35

0x - 43y = -86

-43y = -86

Divide both sides by -43

Negative + Negative = Positive

y = 2

Now eliminate variable y:

Multiply the first equation by 5

25x - 30y = -85

Multiply the second equation by -6 (Negative switches all of the signs)

18x + 30y = 42

43x + 0y = -43

43x = -43

Divide both sides by 43

x = -1

Check work:

5(-1) - 6(2) = -17

-5 - 12 = -17

-17 = -17

Correct

-3(-1) - 5(2) = -7

3 - 10 = -7

-7 = -7

Correct

Which fractions 1/3, 5/6, 3/4, 3/8 are closer to 0 than to 1?

Answers

Answer:

1/3, 3/8 are closer to 0

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

dont know i just remeberd

Please help ASAP.
There are 8 blue, 3, red, and 5 white straws in a cup. What is is the probability you reach and grab a white one for yourself and then a blue one for your friend?

Answers

the answer would be 2/16 or 1/8 :)

In which quadrant does θ lie if the following statements are true:
sin

θ
>
0
and
tan

θ
>
0
sinθ>0 and tanθ>0

Answers

Answer:

Quadrant I

Step-by-step explanation:

We are told that sin is positive (greater than 0) and tan is positive (greater than 0).

We know that sin is positive in quadrants I and II.

We also know that tan is positive in quadrants I and III.

Since both conditions share Quadrant I, the answer is Quadrant I.

Please I need the answer ASAP

Answers

Answer:

8

Step-by-step explanation:

base×height÷2=area

2×8÷2=8

Jose reads his book at an average rate of 2.5 pages every four minutes. If Jose continues to read at exactly the same rate what method could be used to determine how long it would take him to read 20 pages?

Answers

it would take him 32 minutes. You could use divisoin and multiplecation to figure it out

What is the answer and show me the steps

Answers

Answer:

20 because

Step-by-step explanation:

you have to add all of them then ÷ by 2

Evaluate O! + 1!.
a. 1
b. 2

Answers

Answer:

0! = 1

1! = 1

0! + 1! = 1 + 1 = 2

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