In the following exercises, write the first five terms of the sequence whose general term is given.
240. [tex]a_{n}=7 n-5[/tex]

Answers

Answer 1

Answer:

2, 9 , 16 , 23 , 30 ......

Step-by-step explanation:

[tex]a_n = 7n - 5[/tex]

       [tex]a_1 = 7*1 - 5 = 7-5 = 2\\\\a_2 = 7*2 - 5 = 14 - 5 = 9\\\\a_3 = 7*3 - 5 = 21 - 5 = 16\\\\a_4= 7*4 - 5 = 28 - 5 = 23\\\\a_5= 7*5 - 5 = 35 - 5 = 30[/tex]


Related Questions

Which is the slope-intercept form of the equation of the line with a slope
of 2 and a y-intercept of 5?
Oy-5=2(x-0)
Oy=2x-2
O y = 2x+5
Oy-0=2(x - 5)

Answers

It is the 3rd answer

Use the equation y=slope(x)+b

CAN SOMEONE HELP ME PLS?

Answers

Answer:

x = 8

[tex]\overline{AC}[/tex] = 30

[tex]\overline{CD}[/tex] = 10

Step-by-step explanation:

Triangle [tex]\triangle ABC[/tex] and triangle [tex]\triangle DEC[/tex] are similar because they have 2 congruent angles. We can find the scale factor between them by comparing the length of [tex]\overline{BC}[/tex] and  [tex]\overline{EC}[/tex] in a fraction, resulting in us finding the scale is 3:1 from [tex]\triangle ABC[/tex] to [tex]\triangle DEC[/tex].

Now we can solve for x using a proportion.

[tex]\frac{3}{1} = \frac{x+22}{x+2}[/tex] | Cross multiply

3x+6 = x+22 | Subtract x from both sides

2x+6 = 22 | Subtract 6 from both sides

2x = 16 | Divide both sides by 2

x = 8

Now we can solve for [tex]\overline{AC}[/tex] and [tex]\overline{CD}[/tex] by substitution.

[tex]\overline{AC}[/tex] = x + 22 = 8 + 22 = 30

[tex]\overline{CD}[/tex] = x + 2 = 8 + 2 = 10

These are your answers

- Kan Academy Advance

PLEASE HELPPP THANK U SO MUCH

Answers

Answer:

396 = 341q-333

Step-by-step explanation:

396 is (396 =)

the quantity q times 341 (341q)

333 subtracted from (-333)

Answer:

341q - 333 = 396

Step-by-step explanation:

multiply q and 341, you get 341q

a number that is subtracted from another number is the same as saying 2 is subtracted from 5 gives you 3, which can be laid out as 5 - 2 = 3

therefore your equation will be 341q - 333 = 396

extra information :

341q = 396 + 333

341q = 729

q = 729/341

q = 2.137829912

arrange the following in order 9,09 909,09 0,099 0,909 0,0099 9,0099 9,909​

Answers

Answer:

0.0099, 0.099,0.909, 9.0099, 9.09, 9.909, 909,09

Step-by-step explanation:

Here they are from least to greatest. Hope this helps. :)


Write the quadratic equation whose roots are -6 and 5, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)
= 0

Answers

Answer:

The equation is 3x²-6x+5

hey there!

Given roots are-6,5

Sum of roots = -6+5 = -1

Product of roots = -6 x 5 = -30

Now the quadratic expression is

[tex]3x^{2}+x-30=0[/tex]

Hope this helps you dear;)
Have a good day :3

23 lbs of onions cost $46. How many lbs of onions can you get with $30 ?

Answers

Answer:

15 lbs of onions.

Step-by-step explanation:

23 lbs divided by $46 = 0.5 lbs per $1

0.5 lbs times $30

15 lbs

Answer:  15 pounds

=============================================================

Work Shown:

(23 pounds)/(46 dollars) = (x pounds)/(30 dollars)

23/46 = x/30

1/2 = x/30

1*30 = 2*x

30 = 2x

2x = 30

x = 30/2

x = 15

---------------

Another approach:

Divide the cost over the number of pounds to find the unit price

46/23 = 2

The onions cost $2 per pound.

If x is the number of pounds, and we pay $30, then

2x = 30

x = 30/2

x = 15

Meaning 15 pounds of onions cost $30.

660 miles on 20 gallons or 850 miles on 25 gallons which is greater

Answers

The second. Hope that helps.

HELP PLEAZE
ILL GIVE BRAINLIEST

Answers

Answer:

153.86 in²

Step-by-step explanation:

The area of a circle is:

A = π r²

Radius is just half of the diameter so r = 7.

Substitute 3.14 for π.

Restate the equation:

A = 3.14 x 7² = 3.14 x 49

A = 153.86

the points at which a quadratic equation intersects the x-axis

Answers

The points at which a quadratic equation intersects the x-axis are referred to as   x intercepts or zeros or roots of quadratic equation

Given :

The points at which a quadratic equation intersects the x-axis

The points at which the any quadratic equation crosses or touches the x axis are called as x intercepts.

At x intercepts the value of y is 0.

So , the points at which a quadratic equation intersects the x-axis is also called as zeros or roots of the quadratic equation .

The points at which a quadratic equation intersects the x-axis are referred to as   x intercepts or zeros or roots of quadratic equation

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i just need the edges, correct answer gets brainliest

Answers

Answer:

28

Step-by-step explanation:

counting all the lines pretty much

Answer:

its 8x3 for edges so 24 and its 8x2 for vercicles its 16 but for the faces its 8+2 = 10 so you are chillin :)

there are 11 clowns and 3 elephants. how many is all together?

Answers

Answer:

14

Step-by-step explanation:

Solve for x: Answer: -13x+8 = -8x - 7 Submit Answe​

Answers

[tex]-13x+8=-8x-7\\\\8=5x-7\\\\15=5x\\\\3=x[/tex]

the value of x is 3.

Answer: X=3

Step-by-step explanation:

Which function does this graph represent?!? I’ll mark yours expert verified whoever helps plss 60 points

Answers

Answer:

B) [tex]f(x)=-3(x+1)^2+2[/tex]

Step-by-step explanation:

Notice that the graph of the parabola opens downward. This tells us that the leading coefficient of the function must be negative. Hence, we can rule out answers A and D.

Also, notice that our vertex is [tex](h,k)\rightarrow(-1,2)[/tex], which when we plug into vertex form, we get [tex]y=a(x-h)^2+k\rightarrow y=a(x-(-1))^2+2\rightarrow y=a(x+1)^2+2[/tex].

This means that B is the correct function that represents the graph.

I need help!! Thanks

Answers

[tex]\text{Given that,}~ f(x) = 3x+5~ \text{and}~ g(x)=\sqrt{x^2 +3}\\\\(g \circ f)(-1)\\\\=g(f(-1))\\\\=g(3(-1) +5)\\\\=g(-3+5)\\\\=g(2)\\\\=\sqrt{2^2+3}\\\\=\sqrt{4+3}\\\\=\sqrt{7}[/tex]

SOMEONE PLEASE HELP ME I WILL LOVE YOU FORVER

Answers

Answer:

A. OEO, EOE, EEE, EEO, OOE, OEE

A (probability). [tex]\frac{3}{4}[/tex]

B. OEO, EOE

B (probability). [tex]\frac{1}{4}[/tex]

C. EOE, EEE, OOE, OEE

C (probability). [tex]\frac{1}{2}[/tex]

hope this helps:)

Answer:

A. OEO, EOE, EEE, EEO,  ------- (probability).  3/4

B. OEO, EOE ------(probability). 1/4

C- EOE   --------------(probability). 1/4 aswell

Step-by-step explanation:

Sorry it took so long

I hope this helps C:

An equation for the line

Answers

Answer:

y=-1/3x

Step-by-step explanation:

if it’s going down by one there should be one on top on since it’s going over by 3 it should be 3 on the bottom

Congruent figures Practice -2 measurement of angle F

Answers

Answer:

m∠F = 45°

because

Corresponding

Parts of

Congruent

Triangles are

Congruent

Stuck. Please help me

Answers

If the width and length of the rectangle are 3 cm and 7 cm. Then the perimeter of the rectangle is 10 cm.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

Let L be the length of the rectangle and W be the width of the rectangle.

Then we have

4W + 3L = 33 ...1

 2W + L = 13 ...2

Then by the equations 1 and 2, we have

W = 3 and L = 7

Then the perimeter of the rectangle will be

Perimeter = W + L

Perimeter = 3 + 7

Perimeter = 10 cm

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Evaluate the expression when x = 4 and y = 5.
3x2 + 4y0 • x –1

Answers

Answer:

60

Step-by-step explanation:

The evaluated expression of 3x² + 4y⁰(x - 1) when x = 4 and y = 5 is  60.

What is Substitution?

Substitution simply means to put in place another. Therefore, let's substitute the value of x and y in the mathematical expression.

3x² + 4y⁰(x - 1)

Therefore,

y⁰ = 1

3x² + 4y⁰(x - 1)

3x² + 4y⁰(x - 1)

3x² + 4(x - 1)

3x² + 4x - 4

Therefore, when x = 4 and y = 5

3(4)² + 4(4) - 4

48 + 16 - 4 = 60

HOPE THIS HELPED!

Answer:

B

Step-by-step explanation:

An arc subtends a central angle measuring \dfrac{3\pi}{5}
5


start fraction, 3, pi, divided by, 5, end fraction radians.


What fraction of the circumference is this arc?

Answers

The answer should just be 3pi/5

Answer:

3/10 of the circumference

Step-by-step explanation:

Take the fraction between the central angle and the total degree measure of the circle, which is 2π.

(3π/5)/2π3π/10π3/10 of the circumference

The function g(x) = x2 is transformed to obtain function h:

h(x) = g(x − 3).

Which statement describes how the graph of h is different from the graph of g?

A.
The graph of h is the graph of g vertically shifted up 3 units.
B.
The graph of h is the graph of g horizontally shifted right 3 units.
C.
The graph of h is the graph of g horizontally shifted left 3 units.
D.
The graph of h is the graph of g vertically shifted down 3 units.

Answers

Answer:

B

Step-by-step explanation:

given f(x) then f(x ± a) is a horizontal translation of f(x)

• if + a , then a shift to the left of a units

• if - a then a shift to the right of a units

h(x) = g(x - 3)

then h is the graph of g shifted right 3 units

a random survey. of seventh and eighth graders was conducted to determine the number of each student has the results are shown statement about populations is not supported by information in the graph

Answers

Answer:

I believe the answer is 8th graders.

Step-by-step explanation:

in fgh, m f=60 degrees g= 68 degrees. which side of fgh is the shortest

Answers

Answer:

h=52 and h is the shortest

Step-by-step explanation:

180-f-g=h    step 1. -f from 180

180-60=120   step 2. -g from 120

120-68= 52

h=52 degrees

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 76m wide. Find the area of the training field. Use the value 3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

If the radius of the semi-circle is 38 m. Then the area of the training field will be 11,908.459 square meters.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97 m long and 76 m wide.

Then the radius of the semi-circle will be

2r = 76

 r = 38 m

Then the area of the training field will be

Area = area of rectangle + 2 x area of semi-circle

Area = 97 x 76 + 2 x (1/2) x π x 38²

Area = 7372 + 4536.459

Area = 11908.459 square m

More about the geometry link is given below.

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A line contains the following points left to right: r, t, u, s. the space between r and t is 12 units. the space between r and s is 24 units. if tu = 6 units, what must be true? su ut = rt rt tu = rs rs su = ru tu us = rs

Answers

Given thet SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE. Option A is correct

Measure of line segments

A line is defined as the distance between two points

From the given line, RT = TU = 12 units

Since the point T bisects RT and TU = 6 units, hence the point U bisects TS.

The sum of the segment SU and UT will be RT

SU + UT = RT

Given that SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE

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the diameter of circle x is 15 cenimeters. thediameter of circle y is 20 centimenters which measurement is closest to the diffrence between the circumference of circle x and the circumference of circle y in centimenters.

Answers

Answer:

15.7cm

Step-by-step explanation:

the circumference of x=L1=2π =15cm

L2=2π =20cm

L2-L1

=20π-15π

=5π

=5×3.14

=15.70cm

The bumper car ride at the state fair has 3 red cars, 4 green cars, and 5 blue cars. Michelle is first in line for the ride and is assigned a car at random. Garth is next in line and is randomly assigned a car. What is the probability that both Michelle and Garth will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth.

Answers

Answer:

4.5 %

Step-by-step explanation:

Answer:

4.5%

Explanation:

1)  red = 3
2) green = 4
3) blue = 5

Total bumper cars: (3 + 4 + 5) = 12 cars

Michelle gets red car:

3/12 = 1/4

Remaining red cars: 3 - 1 = 2

Remaining total cars: 12 - 1 = 11

Garth get red car:

2/11

Probability they both get red cars:

1/4 × 2/11 = 1/22 ≈ 4.5%

Need to know this asap number 6 and 7

Answers

The equation that does not assign one value to y is [tex]\frac 5y = 7x + \frac{10}{2y}[/tex] and the points that do not represent a function is (c)

The equation that does not assign one value to y

To do this, we simply make y the subject of formula.

So, we have:

[tex]\frac 5y = 7x + \frac{10}{2y}[/tex]

Simplify

[tex]\frac 5y = 7x + \frac{5}{y}[/tex]

Subtract 5/y from both sides

[tex]0 = 7x[/tex]

Rewrite as:

[tex]x = 0[/tex]

This means that the value of x is 0 irrespective of the value of y

Hence, the equation that does not assign one value to y is [tex]\frac 5y = 7x + \frac{10}{2y}[/tex]

The points that do not represent a function

For a set of point to represent a function, the points must represent a one-to-one or many-to-one relationship.

From the list of options, option (3) represents a one-to-many relationship.

This is so because one x value has 3 y values

Hence, the points that do not represent a function is (c)

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Koda is making birdhouses for a park.
The instructions tell him how many of each wooden shape is needed for one birdhouse.

Complete each statement to adjust the number of shapes for each new situation if he follows the given instructions.

Answers

Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,

What is regular Pentagon?

Regular Pentagon is the closed shaped polygon which has 5 sides equal in measure and 5 interior angles equal in measure.

Koda is making birdhouses for a park. For one birdhouse she required 2 trapezoids, 1 square 2 triangles and 4 rectangles.

For the 8 birdhouse, the number of trapezoids she need is,

Trapezoids=2 x 8

Trapezoids=16

For the 3 birdhouse, the number of rectangle she need is,

Rectangle =4 x 3

Rectangle=12

The number of birdhouse when she use 4 square,

Bird house=4 x 1

Bird house=4

Thus, the number of triangle for 4 birdhouse is,

Triangle=2 x 4

Triangle=8

Hence, Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,

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Solve 2x2 + 3x − 5 = 0 by factoring.


x=1, 52

x=1, −52

x=1

x=−52

Answers

answer is correct

x=-5/2 or x
= 1
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