What is the 3rd terms of the sequence:
f(1)=-3, f(n)= f(n-1)+5

Answers

Answer 1

Answer:

f(3) = 7

Step-by-step explanation:

Using the recursive formula and f(1) = - 3 , then

f(2) = f(1) + 5 = - 3 + 5 = 2

f(3) = f(2) + 5 = 2 + 5 = 7


Related Questions

Length of DE is ___
units.
Length of DB is ___
units.
Measure of angle FED is ___
degrees.

Answers

Answer:

Length of DE = 7.5 units

Length of DB = 9.2 units

Measure of ∠FED = 82°

Step-by-step explanation:

In ΔABC,

AD ≅ BD and CE ≅ BE [Given]

By the theorem of mid-segments,

DE = [tex]\frac{1}{2}(AC)[/tex]

     = [tex]\frac{1}{2}(15)[/tex]

DE = 7.5 units

Since AD ≅ FE ≅ 9.2 [By midpoint theorem in ΔACB]

Therefore, length of DB = 9.2 units

[Although it's not given in the question, but we assume FE║AB]

Since FE║AB and DE is a transverse,

Therefore, m(∠FED) ≅ m(∠BDE) ≅ 82° [Interior alternate angles]

How much is one gram into ounces?​

Answers

Answer:

1 gram is 0.035274 in ounces

Answer:

It would be about 0.035274

Step-by-step explanation:

For an approximate result, divide the mass value by 28.35

Hope this helps

4 Student is 20% of ____ students

I need the answer please help me I don't want to fail my math class

Answers

Answer:

4 Student is 20% of 20 students

Step-by-step explanation:

if 4 = 20% then 1 = 5% to get a hundred percent then you need to multiply by 20

so 20

4 Student is 20% of 20 students

Answer:

4 Student is 20% of _20___ students

Step-by-step explanation:

20% of x = 4

20% = 0.20

of means multiplication so

0.2 * x = 4

x = 4 / 0.2 = 40 /2 =20

15 POINTS!! PLEASE HELP
The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2)?

y = one half x + three halves
y = negative one halfx + three halves
y = one half x − three halves
y = negative one halfx − three halves

Answers

Answer:

y = 1/2x - 1

Step-by-step explanation:

The easiest was you do this is to first rearrange the equation into slope-intercept form (y = mx + b).  After rearranging, you can find the slope (m).

2x + y = -5

y = -2x - 5

The slope is -2.  Since the line we are trying to find is perpendicular, find the inverse and multiply it by -1.

-2  =>  1/2

Now use the point-intercept form to find the new equation.  Use the slope (1/2) and the given point (-1, -2).

y - y₁ = m(x - x₁)

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

y + 2 = 1/2(x + 2)

y + 2 = 1/2x + 1

y = 1/2x - 1

The equation of the line perpendicular to line WX is  y = 1/2x - 1.

The equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

What is the equation of a Straight Line?

An equation of the straight line is given by y = mx+c,

Here m is the slope and c is the intercept on y-axis.

The equation of the line WX is 2x+y = -5

y = -2x -5

The product of the slopes of the line and the line perpendicular to this line will be -1

Therefore the slope of the line perpendicular to the line WX is -2 * m = -1,

m = 1/2

y = (1/2)x +c

The line passes through the points (-1, -2)

-2 = (1/2) (-1) +c

c = -2 +(1/2)

c = (-4 +1) /2

c = -3/2

Therefore, the equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

To know more about Equation of Straight Line

https://brainly.com/question/21627259

#SPJ2

Can I please have help

Answers

Answer:

A (1,0), B (3,0) Q (2,-1) P(0,3)

Step-by-step explanation:

A(1,0) B (3,0) these are the roots of the current graph so the factors or the x-intercepts.

Q is the minimum so it is halfway between the x-intercepts

halfway = 3+1/2 , x=2

plug x=2 into the equation

y=(2-1)(2-3)

y=  -1

therefore Q = (2,-1)

P is the y-intercpet when x=0, so plug x=0 into the equation

y=(0-1)(0-3) = 3

therefore Q =

(0,3)

A : The distance around a closed figure B: The space within a closed figure C : Measure using the distance formula D : measure in units squared

Answers

Answer:

C : Measure using the distance formula

Step-by-step explanation:

A Venn diagram is a diagram which shows the relation of all different sets

Just like it is given in the attachment there is a relation between the perimeter and the area.

The distance formula is

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 }[/tex]

where,

[tex](x_1, y_1)[/tex] is the first point coordinates

[tex](x_2, y_2)[/tex]  is the first point coordinates

By using the distance formula as discussed above shows the intersection of the Venn diagram

Hence, the correct option is C.

Solve the following math problem using Roman numerals.

VII + X =

XIV
XVII
XV
XX

Answers

Answer:

XVII

Step-by-step explanation:

VII + X =

V = 5

I = 1

X = 10

5+1+1 + 10 = 17

XVII

Find the volume of a right circular cone that has a height of 6 ft and a base with a radius of 9.7 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

591.18

Step-by-step explanation:

Which equation can be used to solve for x in the following diagram?

Answers

Answer:

18x = 90

x = 5

Step-by-step explanation:

Since it is a 90° angle, you can use 11x + 7x = 90

18x = 90

simplify the equation

Answers

Answer:

3a^4

Step-by-step explanation:

Answer:

3 a^4

Step-by-step explanation:

4a * 6a^5 / 8a^2

Multiply the terms in the numerator

We know that we add the exponents when like terms with exponents are multiplied

24 a ^(1+5) = 24a^6

24a^6 / 8 a^2

Divide the whole numbers and subtract the exponents since we are dividing like terms with exponents

3 a^(6-2)

3 a^4

solve 2x^2-4x-18=0 by completing the square. round the solutions to the nearest hundredth

Answers

Answer:

1-√10

1+√10

Step-by-step explanation:

2x^2-4x-18=0x^2-2x-9=0x^2-2x+1-10=0(x-1)^2-10=0(x-1+√10)(x-1-√10)=0x=1-√10x=1+√10

Yun wants to build a one-sample z interval with 82%, percent confidence to estimate what proportion of users will click an advertisement that appears on his website. He takes a random sample of 200 users and finds that 34 of them clicked the advertisement.

Answers

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 34

p = 34/200 = 0.17

q = 1 - 0.17 = 0.83

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.82 = 0.18

α/2 = 0.18/2 = 0.09

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.09 = 0.91

The z score corresponding to the area on the z table is 1.35. Thus, the z score for a confidence level of 82% is 1.35

Therefore, the 82% confidence interval is

0.17 ± 1.35√(0.17)(0.83)/200

Confidence interval is 0.17 ± 0.036

Answer:

z  ∗  = 1.341

Step-by-step explanation:

Its right on khan academy

Only need answer A answered please

Answers

HEY MATE HERE IS UR ANSWER

The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

FOLLOW ME AND MARK AS BRAINLIEST AND CHAT INBOX

3 feet

12 feet

The ramp will be approximately

feet long

Answers

Answer:

36 feet long

Step-by-step explanation:

3 feet x 12 feet is 36 so it will be 36 feet long!

please mark brainliest and have a nice day :)

(n + 18)
(2n)
What is the value of n

Answers

Answer: if this is what you wanted ,I think that n=0 and /or n= -18

Step-by-step explanation:

In an equation equal to 0 you can say that if it is a product like that : A x B =0 so A or / and B can be equal to 0 so you have to search when A=0 and when B=0 separately then you know when n is equal to 0 so the values of n . I’m sorry if it is not what you needed as an answer.

How much would $100 invested at 6% interest compounded monthly be worth after 20 years? Round to the nearest cent.

Answers

Answer:$331.02

Step-by-step explanation:

you got it right on a p e x

Evaluate −6 − (−4).
A. −10
B. 24
C. −2
D. 2

Answers

Answer:

The answer is -2

Step-by-step explanation:

-6 + 4 = -2

The ordered pair (a, b) gives the location of point P on the coordinate plane. The value of aaa is 0, but b is not zero. Where could point P be located on the coordinate plane?

Answers

Answer:

On the y-axis line

Step-by-step explanation:

Given the location (a,b) of the point P on the coordinated plane.

If a=0

Then the location of P on the x-axis is at x=0

Since b is not equal to zero, b could be positive or negative.

Therefore, the point P could be located on the positive y-axis or the negative y-axis,

It must be exactly on the line.

You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-2,-3),(-2,4),(5,4) and (5,-3) . Find the perimeter (in yards) and the area (in square yards).

Answers

Answer:

Step-by-step explanation:

The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units.  The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units.  If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).

The next thing to do is to calculate the length of the hypotenuse of this triangle.  Using the Pythagorean Theorem, we get:

d = √(7² + 7²) = 7√2 ft.

The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd

and ...

The area of the triangular shape is A = (1/2)(base)(height), which here is

A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2

Fully Factorise 5D^2+11d​

Answers

Answer:

d × (5d + 11)

Step-by-step explanation:

5d² + 11d

Factor out d from the expression

When d is factored out;

5d² becomes 5d

11d becomes 11

And d multiplies it all;

d × (5d + 11)

find the value of x​

Answers

Answer:

x = -14

Step-by-step explanation:

Look at the image attatched. I have labeled the angles for better explanation.

We know that angle 1 is 54 degrees as is rests on a straight line with its adjacent angle at 126 degrees. This means that angle 1 would be 180 - 126 degrees, or 54 degrees. We also know that angle 1 and 3 must be congruent as the sides of the triangle opposite those angles are congruent as well. This means that both those angles are 54 degrees. Since the sum of all angles in a triangle must equal 180 degrees, we can get that angle 4 is 180 - (2*54) degrees, or 72. Since angle two and angle 4 both lie on a straight line, they must add up to 180 degrees. This means that the value of angle 2 would be 180 - 72, or 108 degrees. Since angle 2 is also equal to x+122, we get the equation:

108 = x + 122.

We then solve this by getting:

x = 108 - 122

which gives us the answer of

x = -14

Answer: x = -14

Step-by-step explanation:

a) Top triangle, top angle: Using the Linear Pair Postulate, 180° - 126° = 54°

b) Top triangle, bottom left angle: Congruent sides implies congruent angles = 54°

c) Bottom triangle, top left angle: Using the Complimentary Angles Postulate, 90° - 54° = 36°

d) Bottom triangle, bottom angle: Congruent sides implies congruent angles = 36°

Triangle Sum Theorem states that the sum of the three angles must equal 180°.

36° + ∠2 + 36° = 180°

36° + (x + 22) + 36° = 180°

x + 194 = 180

         x = -14

What's the value of x in the equation: 10x-6=5x34

Answers

Answer:

8

Step-by-step explanation:

10x-6=5x+34

-5x -5x

5x-6=34

+6 +6

5x=40

---- ----

5 5

x= 8

// have a great day //

Find the speed of a car on km/hr that is moving
at speed 144mls​

Answers

Answer:

Speed in km/hr = 518.4 km/hr

Step-by-step explanation:

Speed = 144 m/s

To convert m/s to km/her, you just need to multiply it by 3.6

Speed in km/hr = 144 × 3.6

Speed in km/hr = 518.4 km/hr

Answer:

518.40km/h

Step-by-step explanation:

144m/s

it means that in 1 sec it does 144m

we are searching how many km it does in 1 hour

1 hour = 60*60=3600 sec

so in 3600 sec (= 1 hour) it does 144*3600 m

and 1 km = 1 000m

so in 1 hour it does 144*3600/1000 = 144*3.6 = 518.40

the speed of the car is 518.40km/hr

hope this helps

During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.

What is the median of the data? *

Answers

Answer:

15

Step-by-step explanation:

First you have to order the numbers from least to greatest

13, 13, 15, 20, 24

Then you find the value in the middle.

You have five numbers so your middle value is the number between the the two numbers on the left and the two numbers on the right which is 15.

PLZ HLP MEEEEEEEEEEEEEEE

the table below shows what 300 boxer students ate for lunch on friday. what is the ratio of the number of students who ate soup to the number of students who did not eat soup?

Answers

Answer:

B

Step-by-step explanation:

1/4 = the ratio 60/240

Please state the like terms in each group:
a) 4w,5w^2, 5z, x^2, -x, 3w, 3v
b) 4x^2, -3x^2, 4z, 2y, y^2, 4w

i will give the brainliest to whoever answers correctly:))

Answers

a) 4w and 3w

b) 4x^2 and -3x^2 and y^2

Answer:

a ) 4w and 3w

b ) 4x^2 and - 3x^2

Step-by-step explanation:

Like terms are considered to have similar variables, such as say 1abc and 22abc. Note that the " 1 " and " 22 " are  coefficients ;

[tex]a ) 4w, 3w\\\\b ) 4x^2, - 3x^2[/tex]

As you can tell, the part a ) has terms with the like variable w, and part b ) has terms with the like variable x^2

Solution above

Joe needs to replace the carpet in his living room and hallway with laminate flooring. A floor plan is shown below. Can you help him to find the total area of floor that needs to be covered?

Answers

*diagram of floor plan is attached below

Answer:

30m²

Step-by-step Explanation:

From the floor plan shown in the attached diagram, the hall way and the living room both takes the shape of a rectangle.

To find the total area of floor to be covered, we can use the formula of the area of a rectangle to find the area of the hall way + the area of the living room.

Area of rectangle = L*B

For the hall way, L = 3.2m, B = 1.5m

Area of hall way = 3.2*1.5 = 4.8m²

For the living room, L = 6m, B = 4.2m

Area of Living room = 6*4.2 = 25.2m²

Therefore, area of floor to be covered = 4.8m² + 25.2m² = 30m²

Answer:

30m²

Step-by-step explanation:

The total cost of a pair of jeans and three shirts is $114. The shirts each cost the same amount, and the jeans are $45.

What is the price per shirt?

a.) $69
b.) $23
c.) $53
d.) $159

Answers

Answer:

23

Step-by-step explanation:

j = jeans

s = shirt

j + 3s = 114

jeans = 45

45+ 3s = 114

Subtract 45 from each side

45-45+3s = 114-45

3s =69

Divide each side by 3

3s/3 =69/3

s = 23

Each shirt is 23

Answer:

b.) 23

Step-by-step explanation:

114-45=69

69/3=23

What is 2a+50=5a-4? Thank you for your time.​

Answers

Answer:

2a+50=5a-4

5a-2a=50+4

3a=54

a=18

Answer:

[tex]a=18[/tex]

Step-by-step explanation:

[tex]2a+50=5a-4\\\mathrm{Subtract\:}50\mathrm{\:from\:both\:sides}\\2a+50-50=5a-4-50\\Simplify\\2a=5a-54\\\mathrm{Subtract\:}5a\mathrm{\:from\:both\:sides}\\2a-5a=5a-54-5a\\\mathrm{Simplify}\\-3a=-54\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3a}{-3}=\frac{-54}{-3}\\Simplify\\\frac{-3a}{-3}=\frac{-54}{-3}\\\mathrm{Simplify\:}\frac{-3a}{-3}:\quad a\\\frac{-3a}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{3a}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1[/tex]

[tex]=a\\\mathrm{Simplify\:}\frac{-54}{-3}:\quad 18\\\frac{-54}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{54}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{54}{3}=18\\=18\\a=18[/tex]

whats the formula for area of an rectangle

Answers

Answer:

L (lengh) · W (width)

Step-by-step explanation:

Tp find the area of a rectangle, you always have to multiply the length by the width. You do this because there are individual little array-like squares that make up the area. You could just count the square units, but multiplying is faster.

Answer:

For Perimeter its  2times length + 2times width

and for Area its: length times width

Hope this helps :)

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