Identify the sequence as arithmetic or geometric. f(n+1)=17 f(n), for n≥1 and f(1)=49

Answers

Answer 1

Answer:

.

/

/

.

.

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

f(1) = 49

f(n+1) = 17f(n)

n = 1 ; f(1+1) = 17* f(1)

           f(2) = 17 * 49 = 833

This is a geometric sequence. Each term is got by multiplying 17 with the previous term, Which means 17 is the common ratio


Related Questions

The number of pizzas sold in one weekend at Pete's Pizzas is shown. Pie chart of pizza sales. Data includes 130 hamburger, 175 pepperoni, 60 cheese, and 35 veggies.

a) If Pete's sales remain consistent, how many pepperoni pizzas will he have sold when the total number of pizzas sold reaches 1600?

b) How would the circle graph be different if Pete had sold 200 pepperoni pizzas, 100 hamburger pizzas, 50 veggie pizzas, and 50 cheese pizzas?

Answers

Answer:

a) 560

b) The Hamburger section will become smaller, the pepperoni will get bigger, the veggie pizza area would increase and the cheese section will decrease.

Step-by-step explanation:

a) 400 pizzas were originally sold (add all pizzas)

1600/400=4

Therefore, 175 (pepperoni pizzas) *4 = 560.

b) Find the difference between the original amount compared to the new amounts to determine what will happen to the size of each sector.    

Hope that helped!!! k

I got 560 .. I’m not sure if it’s right

Help me please, someone​

Answers

Answer:

[tex]351.8mi^2[/tex]

Step-by-step explanation:

Hey there!

Well the formula to find the surface area of a cylinder is,

[tex]2\pi rh+2\pi r^2[/tex],

So with the h and r being 10 and 4 lets plug it in.

[tex]2\pi (4)(10)+2\pi (4)^2[/tex]

Let's solve!

2π40 + 2π16

80π + 32π

251.3 + 100.5

= [tex]351.8mi^2[/tex]

Hope this helps :)

Answer:

351.9 mi^2

Step-by-step explanation:

The surface area of a cylinder can be found using the following formula.

[tex]SA=2\pi r^2+2\pi rh[/tex]

We know that the height of the cylinder is 10 miles and the radius is 4 miles.

h= 10 mi

r= 4 mi

[tex]SA=2\pi (4 mi)^2+2\pi (4 mi)(10 mi)[/tex]

First, evaluate the exponent 4 mi^2.

4 mi^2= 4 mi * 4 mi = 16 mi^2

[tex]SA=2\pi 16 mi^2+2\pi (4 mi)(10 mi)[/tex]

Next, multiply 16 and 2pi

[tex]SA=100.530965 mi^2+2\pi(4 mi)(10mi)[/tex]

Next, multiply 4 and 10

[tex]SA=100.530965 mi^2+2\pi40mi^2[/tex]

Multiply 40 and 2 pi

[tex]SA=100.530965 mi^2+251.327412mi^2[/tex]

Add the 2 numbers together

[tex]SA=351.858377 mi^2[/tex]

Round to the nearest tenth. The 5 in the hundredth place tells us to round the 8 to a 9 in the tenth place.

[tex]SA=351.9 mi^2[/tex]

The surface area of the cylinder is about 351.9 square miles.

is 5 rational or irrational

Answers

Answer:Rational

Step-by-step explanation:

Every integer is a rational number, since each integer n can be written in the form n/1.

Answer:

Rational

................

Which of the following is NOT true about complementary angles? (A) Both angles are acute. (B) Neither angle can be a right angle. (C) Their angle measures have a sum of 90°. (D) Their angle measures cannot be equal.

Answers

Answer:

(D) Their angle measures cannot be equal.

Step-by-step explanation:

(A) It's fine if both angles are acute.

(B) None of the angles can be a right angle.

(C) Their sum has to be 90°.

(D) Their angle measures can be equal.

Answer:

Step-by-step explanation:

D is correct.  Complementary angles can certainly be equal (e. g., 45 and 45 degrees) or unequal (e. g., 30 and 60 degrees).

Question 7
Factor x^2-7x-18

Answers

Answer:

(x-9)(x+2)

Step-by-step explanation:

x^2-7x-18

Factor

What two numbers multiply to -18 and add to -7

-9*2 = -18

-9+2 = -7

(x-9)(x+2)

the answer would be(x-9) (x+2)

Answer it pls and no memes

Answers

Answer:

There's two of them, of which are the 3rd and 5th option

Step-by-step explanation:

The formula for calculating a prism is length times width, times the height because it is a 3d object. Length times width is the same as B(base), so those two are the exact same. Don't let that fool you.

Here's a little abstract context:

You've got one loaf of bread right? Well, pretend it's 3 inches by 4 inches. You have one slice, one layer, with 12 inches squared as its area. To make it a loaf, you stack the layers up by multiplying that slice of bread by the value of h.

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

Answers

Answer:

B) (35, 260)

Step-by-step explanation:

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

A) (35, 240)

B) (35, 260)

C) (260, 35)

D) (240, 35)

Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.

Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²

For a 35 pound dog (i.e w = 35 pound). The dosage is given as:

d ≥ 1∕5(35)² ≥ 245 milligrams.

For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).

The dog weight is the independent variable and the dosage is the dependent variable.

From the ordered pairs, the best option is (35, 260) because 260 ≥ 240

Answer:

(35, 260)

Step-by-step explanation:

I got it right on my quiz!

What is the length of AB?

A. 18
B. 48
C. 6
D. 9

Answers

Answer:

D

Step-by-step explanation:

Since AC is 18

Midpoint is B

Therefore AB is 18÷2=9.

Hope this helps.

The length of AB shown in the circle is 9.

Hence option D is correct.

In the given circle

The Centre of the circle is o

Length of chord  AC = 18

Since we know that,

The line segment connecting any two locations on a circle's circumference is known as the chord of the circle. It should be emphasized that the diameter is the circle's longest chord, which runs through its centre.

And we can see that,

B is the midpoint of the chord AC of the circle

Therefore The length of AB is just half of chord AC

Therefore,

AB = AC/2

And it is given that AC = 18

Therefore,

AB = 18/2

Hence,

AB = 9

To learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ2

The countries population in 1991 was 231 million . In 1999 it’s was 233 million. estimate the population in 2003 used The exponential growth formula. Round your answer to the nearest million

Answers

Answer:

The population in 2003 was 234  million

Step-by-step explanation:

In order to calculate the population in 2003 we would have to use the The exponential growth formula as follows:

p(y)=ir^t

According to the given data:

p(y)=233 million

i=231 million

t =1999-1991

Therefore, 233 million=231 million r^(1999-1991)

(233 million/231 million)^(1/8)=r

p(y)=231 million(233 million/231 million)^((y-1991)/8)  

Therefore, in 2003   p(2003)=231 million(233 million/231 million)^((2003-1991)/8)

p(2003)=231 million(233 million/231 million)^(1.5)

p(2003)=234  million

The population in 2003 was 234  million

Please help me... I will mark brainliest if you do ;)
An explanation would be appreciated as well!

Answers

Answer:

86

Step-by-step explanation:

The sum of the angles in a quadrilateral is 360 degrees

since EF is parallel to HG

m < E + m< H =180

y + 10 + 2y -31 =180

-21+ 3y= 180

3y = 180 + 21

3y = 201

y=67

m <E = 67 + 10 =77

m < F = 2*67 -40= 134 -40=94

m < H = 2*67-31 = 134 -31 = 103

m < G = 360 - (m<E+ m < F + m < H)

= 360 - ( 77+94+103)

= 360- 274

=86

Help with the question attached, thank you!!

Answers

Answer:

the third one

Step-by-step explanation:

try to factor them and if it cannot be factored then it is prime

the only one that cannot be factered is the one you have highlighted so that is correct.

50pts + brainliest pls helllppppppppppppppppppppp
find the equation of straight line passing through (1,-1) and (3,-5) pls help im in online class and i have to answer pls helllllllllllppppppppppppppp

Answers

Answer:

Equation y = -2x -3

Step-by-step explanation:

(1,-1) (3,-5)

Slope = -5-(-1) / 3-1 = -5+1/2 = -4/2 = -2

y = mx + K

-1 = -2(1) + k

-1 = -2 + k

k = 1

Equation y = -2x+1

Answer:

Step-by-step explanation:

slope=(y2-y1)/(x2-x1)=(-5-(-1))/(3-1)=(-5+1)/2=-4/2=-2

y-y1=m(x-x1)

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

y+1=-2(x-1)

y+1=-2x+2

y=-2x+2-1

y=-2x+1

Pleaseeeee hurryy need help!!

Answers

it is the last one

Step-by-step explanation:

by simplifying powers it becomes

8g^8/64h ^5

simplifying it further gives

g^8/ 8h^5

i think its the last one

Does anyone know this need help please!!!!!!! Hurry thanks

Answers

Answer:

Add the two equations: 5y=5 so y=1, therefore x=3-2y=1.

What did you mean by Dx? If it's the determinant for x then it's:

| 3 2 |

| 2 3 | = 9-4=5

Dy is:

| 1 3 |

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

And D is:

| 1 2 |

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

x=Dx/D=5/5=1 and y=Dy/D=5/5=1

HOPE THIS HELPS AND PLS MARK AS BRAINLIEST

THNXX :)

Yea bro bro it’s 1 ^_^

Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?

Answers

Answer:

600 blocks

Step-by-step explanation:

Well this question is asking us to find the volume of the rectangular prism.

Dimensions)

L: 12

W: 10

H:5

The formula for the volume of a rectangular prism is l*w*h or B*h.

So 12*10 = 120

120 * 5 = 600 blocks

Thus,

the fort contains 600 blocks.

Hope this helps :)

Answer:

[tex]\boxed{280\ blocks}[/tex]

Step-by-step explanation:

The blocks at the base are:

Length * Width = 10 * 12 = 120 blocks

On the 2nd Layer:

=> 9+11+9+11 = 40 blocks

There are 3 more layers as the 2nd layer:

So, the blocks of these 4 layers are => 4 * 40 = 160 blocks

Total Blocks = Base Blocks + Layer Blocks

=> 120 + 160

=> 280 blocks

I need a quick response! Please help!

A park ranger sees a fire from an observation deck 120 feet high. The fire is at an angle of
depression 2.5 degrees. How far is the fire from base of the observation deck ?

Answers

Answer: 2748.5 feet

Step-by-step explanation:

Given that the

Height h = 120 feet.

angle of depression = 2.5 degrees

The angle of depression is equal to the angle of elevation.

The base of the observation deck will be achieved by using trigonometry ratio.

Tan Ø = opposite/ adjacent

Opposite = height = 120 feet

Adjacent = base = ?

Substitutes the given parameters into the trigonometry ratio.

Tan 2.5 = 120 / adjacent

Adjacent = 120 / tan 2.5

Adjacent = 2748.452

Therefore, the base of the observation deck is 2748.5 feet

To make a specific hair dye, a hair stylist uses a ratio of 118 oz of red tone, 34 oz of gray tone, and 58 oz of brown tone. If the stylist needs to make 20 oz of dye, how much of each dye color is needed?

Answers

Answer:

11.8 red

3.4 gray

5.8 brown

Step-by-step explanation:

118+34+58=200

If they only need 20, just move the decimal place by one.

11.8 red

3.4 gray

5.8 brown

sex(-x)-sin(-x)tan(-x)=cosx Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button to the right of the Rule.

Answers

Answer:

Step-by-step explanation:

sec (-x)-sin (-x) tan (-x)=cos x

sec(x)-(-sin x)(-tan x)=cos x

1/cos x-sin x(sin x/cos x)=cos x

multiply by cos x

1-sin ²x=cos²x

or 1=sin²x+cos²x

which is true.

please solve question 1 for me

Answers

Answer:

This is WAYYYYYYYYYYY too hard. You should ask ur teacher or friends. And parents.

The graph below represents which systems of inequalities?
A. Y> 2x+3
y>+3
B. Y<2x+3
y C. Y<3x+2
y<-x+2
D Y> - 2x+ 3
y>x+3

Answers

Answer:

y ≤ x + 3

y ≤ -2x + 3

Step-by-step explanation:

Graph attached shows two solid lines having equal y-intercepts as 3 units.

Since one line passes through two points (0, 3) and (-3, 0),

Slope of this line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                  = [tex]\frac{3-0}{0+3}[/tex]

                                  = 1

Let the equation of the this line is,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, equation of the line having slope = 1 and y-intercept = 3 units,

y = 1.x + 3

y = x + 3

Since, shaded region shown is on the left of the line y = x + 3

Therefore, y ≤ x + 3 will be the inequality with shaded area in green.

Slope of the second line passing through (0, 3) and (1.5, 0)

m' = [tex]\frac{3-0}{0-1.5}[/tex]

    = -2

Therefore, equation of the second line will be,

y = (-2)x + 3

y = -2x + 3

Since shade area (In yellow) is below the given solid line, equation of the inequality will be,

y ≤ -2x + 3

Question: John and Harry went to a stationery shop. John bought 3 pens and 8 notebooks for $20.50. Harry bought 4 pens and 5 notebooks for $16.00. Identify the cost of a pen and the cost of a notebook. (pen: $1.00 notebook: $2.50) (pen: $2.00 notebook: $1.50) (pen: $1.50 notebook: $2.00) (pen: $2.00 notebook: $3.00)

Answers

Answer:

pen: $1.50 notebook: $2.00

Step-by-step explanation:

4×1.50 =6

5×2 = 10

6+10= 16

3×1.50= 4.50

8×2= 16

4.50 + 16 = 20.50

solve by elimination x-5y=35 and 3x-6y=51

Answers

Answer: x=5 y=-6

(5,-6)

Step-by-step explanation:

Solve by elimination

[tex]\begin{bmatrix}x-5y=35\\ 3x-6y=51\end{bmatrix}[/tex]

multiply x-5y=35 by 3

= 3x-15y=105

[tex]\begin{bmatrix}3x-15y=105\\ 3x-6y=51\end{bmatrix}[/tex]

[tex]3x-6y=51[/tex]

-[tex]\underline{3x-15y=105}[/tex]

[tex]9y=-54[/tex]

divide 9 on both sides

y= -6

Now solve for x

you must plug in -6 for y in either equations

i plugged in -6 for y in 3x-15y=105

[tex]3x-15\left(-6\right)=105[/tex]

[tex]3x+15\cdot \:6=105[/tex]

[tex]15\cdot \:6=90[/tex]

[tex]3x+90=105[/tex]

subtract 90 on both sides

[tex]3x=15[/tex]

[tex]\frac{3x}{3}=\frac{15}{3}[/tex]

[tex]x=5[/tex]

Please mark brainliest

Answer:

x=5

y= -6

Step-by-step explanation:

equ= equation

x - 5y= 35 ----- equ (1)

3x - 6y= 51 ----- equ (2)

Multiply equ (1) by 3

3x - 15y= 105 ----- equ(3)

3x - 6y= 51 ----- equ(4)

Subtract equ(4) from equ(3)

-9y= 54

y= -6

Substitute value of y into equ(1)

x - 5 x -6= 35 (the second x here means multiplication)

x + 30= 35

x= 5

State the domain of the glven relation.

Answers

Answer:

x ≤ -1

Step-by-step explanation:

The domain is the x-values.  Since the graph shows all numbers up to -1, the domain would be all numbers less than or equal to -1:

x ≤ -1

I think the answer is x< 1

helppp plz help need help

Answers

Answer:

D. highly unlikely

Step-by-step explanation:

There are 20 total outcomes.

The number 1 is only 1 outcome out of 20 outcomes.

The probability of it landing on 1 is 1/20.

0 - impossible

0.1 - highly unlikely

0.25 - unlikely

0.5 - even

0.75 -  likely

0.9 - highly likely

1 - certain

1/20 = 0.05

0.05 is highly unlikely.

Answer:

highly unlikely

Step-by-step explanation:

There is 1 number 1

P( 1) = 1/20

This is highly unlikely

1. George want to score at least a 90% on his math tests this quarter. So far his test scores are 88, 97 and
80. What does George need to score on his last test to average at least 90%?
Define variable:
Equation:
Solution:

check my work please! it’s number 1 :)

Answers

Answer:

Yes you are correct.

Step-by-step explanation:

The best way to check theese types of questions is go back in plug in X with your answer so 88+97+80+90(which is x)=360 then divide by 4 and get 90! So yes you are correct good job!

84"
7'
A
B
Given the conversion factor 12 in, which line segment is longer?
O A. Line segment A
O B. Line segment B
O C. They are the same size.

Answers

The answer is C. They are the same size. 84 inches= 7 ft.

You are going to a movie, and your friend says it is showing some time on the weekend between noon and 8, but won't say when, exactly.What are the chances itis playing on Sunday between 6 and 8?

Answers

Answer:

The chances are 1/6 because 6-8 is 1/6 of the possible timings.

:)

Answer:

7/8

Step-by-step explanation:

Because it is 8 hours combined (noon to 8) 8 will be the denominator and since it is 3 hours (6 to 8) 3 is the numerator. Keep that aside.

Since there are 2 days in a weekend 2 will be the denominator and since it is on Sunday 1 will be the numerator.

So 3/8 + 1/2 = 7/8

suppose that all of the points on the circular dartboard shown are equally likely to be hit by a dart. If the radius of the shaded center circle is 2 and the radius of the entire dartboard is 4, what is the probability of throwing a dart and hitting the white part of the board? Round your answer to the nearest whole number.

Answers

Answer:

P(white region) = 0.75 or 75%

Step-by-step explanation:

Find the area of the shaded region:

A = πr²

A = π(2)²

A = 12.56

Find the area of the entire dartboard:

A = πr²

A = π(4)²

A = 50.24

Find the probability that the dart hits the blue region:

P(blue region) = Area of blue region/ Total Area

P(blue region) = 12.56 / 50.24

P(blue region) = 0.25

As total probability is equal to 1, find the probability of throwing a dart that hits the white part of the board by substracting 0.25 from 1

P(white region) = 1 - P(blue region)

P(white region) = 1 - 0.25

P(white region) = 0.75

PLEASE HELP. FIRST CORRECT ANSWER WILL GET BRAINLIEST AND 20 POINTS PLEASE HELP! I AM DESPERATE, AND NEED TO FINISH IN 30 MINUTES Write each of the following expressions without using absolute value. |z−6|−|z−5|, if z<5

Answers

Answer: 1

Step-by-step explanation: first you need to pretend that the absolute value bars are parentheses. Then substitute a with any number less that five, for example z=3

Now we can write our new equation: (3-6)-(3-5) now we have to determine if the final answer inside the parentheses is positive or negative. In the first parentheses 3-6=-3 with is negative. In our second parentheses we have 3-5=-2 which is a also negative.

Knowing that both parentheses are negative results we can set up an equation using z instead of 3:

-(z-6)-(-(z-5)) is our new equation. If we simplify this equation we get 1 for an answer

Answer:

1

Step-by-step explanation:

If z < 5, then both |z-6| and |z-5| gets negative value, so:

|z-6 | -  |z-5| = -(z-6) - (- (z-5) ) = - z+ 6 + z -5 = 1

Answer is: 1

Does anyone know this! Thanks

Answers

Answer:

C = 7pi yds

If we approximate pi by 3.14

C =21.98 yds

If we approximate pi by the pi button

C =21.99114858 yds

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

C = 2 * pi * 3.5

C = 7pi yds

If we approximate pi by 3.14

C =21.98 yds

If we approximate pi by the pi button

C =21.99114858 yds

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