Q2: 8,15,22,29,36,............ A sequence of numbers is shown above. a) Find the 10th term of the sequence. *

This is a required question
b) Find the nth term of the sequence. *
c) Which term of the sequence is equal to 260. *

Answers

Answer 1

Answer:

a) 71

b) an = a1 + (n-1)×7

c) the 37th term

Step-by-step explanation:

clearly, an+1 = an + 7

so, any new term is the previous term plus 7.

a1 = 8

and then the sequence goes on. starting with a2 we add 7 every time.

so, for an we added 7 n-1 times to a1. n-1 because for a1 we did not have to add 7.

therefore, the building function of this sequence to calculate the nth term is

an = a1 + (n-1)×7

a10 = a1 + 9×7 = 8 + 63 = 71

and

ax = 260 = a1 + (x-1)×7 = 8 + 7x - 7 = 1 + 7x

259 = 7x

x = 37

=> the 37th term of the sequence is 260

Answer 2
a) 71
b) an = al + (n +1) x 7
c) 37th term

Related Questions

Be sure to show your work and solve for h:
13 = h - 18 - 5

Answers

Answer:

h = 36

Step-by-step explanation:

13 = h - 23 (subtract)

13 + 23 = h (move to the other side)

36 = h (add)

PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

c.

more styrofoam is discarded than paper and plastic combined

B

7000 / 20000 is about 1/3

Which of the following polygons can form a regular tessellation?
A. Regular heptagon
B. Regular pentagon
C. Regular octagon
D. Square

Answers

Answer:

D. Square

Step-by-step explanation:

A square is a regular tessellation because a regular tessellation is a pattern made up of only one single shape placed in some kind of pattern.

Find the mean and the MAD. [Note: Type your answers as decimal numbers, rounded to the nearest tenth.] 135, 160, 145, 155, 170, 150, 142

Answers

Answer:

Mean = 151

MAD = 9.14

Step-by-step explanation:

Given the data:

135, 160, 145, 155, 170, 150, 142

Mean = Σx / n

Mean = 1057 / 7

Mean = 151

Mean absolute DEVIATION (MAD) : Σ(x - μ) / n

[(135-151) + (160-151) + (145-151) + (155-151) + (170-151) + (150-151) + (142-151)] / 7

Mean absolute deviation = 9.14

Which of the following equations represents a line that is parallel to y = -4x-1
and passes through the point, (2, 2)?
O A. y = -4x+10
O B. y = 1/4x+2
O C. y = -4x + 4
O D. y = -4x - 6

Answers

Answer:

A

Step-by-step explanation:

Parallel lines have the same gradient

For line y=-4x-1, the gradient is -4 and so that of this new line will also be -4

Now,

y-y1=m(x-x1)

y-2=-4(x-2)

y-2=-4x+8

y=-4x+8+2

y=-4x+10

I nI need help on 110 times 550

Answers

Answer:

60500

Step-by-step explanation:

110 x 550

= 60500

Answer:

60500

Step-by-step explanation:

caculator lol 110×550

what is the solution to the equation below? 6x=2x+24

Answers

Answer:

x=6

Step-by-step explanation:

First, we combine like terms.

6x=2x+24

6x-2x=24

4x=24

Then we divide both sides by 4.

x=6

Answer:

x=6

Step-by-step explanation:

6x=2x+24

Transpose 2x to the other side

6x-2x=24

4x=24

x=24/4=6

x=6

Hope this helps

Please mark me as brainliest

Question 2 (5 points) ✓ Saved
Determine the value of x.
3
6
3V3
3V2

Answers

Answer:

x = 6 units

Step-by-step explanation:

For θ = 30°, Perpendicular is 3. Hypotenuse is x.

We can use trigonometry to find x.

[tex]\sin(30)=\dfrac{P}{H}[/tex]

[tex]\sin(30)=\dfrac{3}{x}\\\\x=\dfrac{3}{\sin(30)}\\\\x=6[/tex]

So, the value of x is equal to 6 units.

Q1. Interpreting Direct Proportion

In this set of pairs of (x,y) numbers, y is directly proportional to x
Complete the Following:
(2, 9) (5, 22.5) (12, ?) (?, 90) (?, ?)

What is the constant of proportionality k when y=kx: ?

Answers

3 is the correct answer no cap

Tzar Bomba
(Soviet)
15
Trinity
Bravo
Hiroshima
10 -
Mike
Bunker Buster
Illustration From October 2002
Issue of Popular Mechanics" (pg. 69)
Determine the following about the graph:
• Is the graph misleading?

.
Does the graph have missing or inaccurate titles, labels, or keys?
e
Does the vertical axis start at 0?
.
Are images used instead of bars?
.
Is the perspective or orientation misleading?

Answers

Answer:

Below

Step-by-step explanation:

1. Potentially, yes. The display of the smaller bombs in the "magnifying glass" display can be very misleading.

2. Yes - the vertical axis labels the tonnage of the nuclear blast while displaying the height of each mushroom cloud.

3. Maybe? While the first number displayed in the vertical axis is 5 (Mt), it is most likely that the 0 is unlabeled rather than non-existent.

4. Yes - images of the mushroom cloud produced by each bomb.

5. Absolutely - the larger display of the smaller bombs can create major conflict in understanding the size of each.

Select the correct equations.
Identify all of the linear functions.
2x + 5y = 13
-Xº = 3y + 10
3(2x + y) = 14
y = 13 - 2x
2 = y + x
y = x+7

Answers

all except for the second option I believe, as all of them have a slope, y intercept, except -X degrees

What is the value of the power? Negative StartFraction 9 Over 12 EndFraction Negative StartFraction 27 Over 64 EndFraction StartFraction 9 Over 12 EndFraction StartFraction 27 Over 64 EndFraction

Answers

Answer:

[tex](\frac{-3}{4})^3 = -\frac{27}{64}[/tex]

Step-by-step explanation:

Given

[tex](\frac{-3}{4})^3[/tex]

Required

Evaluate

The expression can be represented as:

[tex](\frac{-3}{4})^3 = (\frac{-3}{4})*(\frac{-3}{4})*(\frac{-3}{4})[/tex]

So, we have:

[tex](\frac{-3}{4})^3 = \frac{-3*-3*-3}{4*4*4}[/tex]

[tex](\frac{-3}{4})^3 = \frac{-27}{64}[/tex]

Rewrite as:

[tex](\frac{-3}{4})^3 = -\frac{27}{64}[/tex]

Answer:

B  -27/64

Step-by-step explanation:


Find the intercepts of the function f(x)=4x+8

Answers

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

and solve for

y

.

x-intercept(s):

(

2

,

0

)

y-intercept(s):

(

0

,

8

)

X intercepts (-2,0)
Y intercepts (0,8)

2. Resolve into factors.
a) 8x3 + y3​

Answers

Answer:

(2x + y)(4x² - 2xy + y²)

Step-by-step explanation:

8x³ + y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²) , then

8x³ + y³

= (2x)³ + y³

= (2x + y)((2x)² - 2xy + y²) , that is

(2x + y)(4x² - 2xy + y²)

Please help!!-- What is the measure of arc AT in the circle O below?

Answers

Answer:

97

Step-by-step explanation:

Arc AT = angle at the center 97°

(iii) Show it in a Venn diagram. In a survey of 120 students, 60 drink milk, 50 drink curd and 20 students drink milk as well curd then, Draw a Venn diagram to illustrate the above information. (ii) Find the number of students who drink neither of them. ​

Answers

Answer:

Step-by-step explanation:

As you can see in the venn diagram that is attached below, The individuals that drink milk are in green, those that drink curd are in yellow, and those that drink both are in light blue. Since the sum of those that drink milk with those that drink curd is 110 and a total of 120 students were surveryed. Then this means that 10 of the students neither drink milk nor curd. These students are represented outside of the venn diagram but within the box of surveyed students.

Express 200 g as a percentage of 4 kg

Answers

Answer:

5%

Step-by-step explanation:

Both should be in same measurement. so convert 4 kg to gram

1 Kg = 1000 g

4 kg = 4 * 1000 = 4000 g

[tex]\frac{200}{4000}*100=\frac{2}{40}*100\\\\=\frac{1}{20}*100 = 1 * 5\\[/tex]

= 5%

solve the following problems

Answers

Too confusing for me

Can someone please help me with all these problems itd mean alot

Answers

I don’t know brotherrrr sprru

Step-by-step explanation:

For the 1st picture,

1 unit to the left and 3 units up.

Fir the 2nd picture,

We know the 90 degree counterclockwise rule is

[tex](x) \:(y) goes \: to \: ( - y)(x)[/tex]

So our new points will be

(-1,7)

(4,8)

(-2,2)

For the 3rd picture,

The new points will be

(-10,0)

(-6,2)

(-7,-1)

For the 4th picture,

A pentagon interior angles add up to 540.

We solve for x.

I cant really see the angles but just add up all the known angles and subtract them from 540 and that should get you your answer.

For 5th picture,

Exterior angles add up to 360 for every figure, a 13 sided polygon means it has 13 exterior angles. Since this is a regular polygon, the angles will all be equal.

[tex] \frac{360}{13} = 27 \frac{9}{13} [/tex]

Which equal

27.7

Pls solve last question pls pls

Answers

Answer:

i don't know how to work this

Answer:

x = [tex]\frac{3}{4}[/tex] , x = 20

Step-by-step explanation:

2([tex]\frac{3x-5}{x+2}[/tex] ) - 5 ([tex]\frac{x+2}{3x-5}[/tex] ) = 3

Multiply through by (x + 2)(3x - 5) to eliminate the fractions

2(3x - 5)² - 5(x + 2)² = 3(x + 2)(3x - 5) ← expand factors on both sides

2(9x² - 30x + 25) - 5(x² + 4x + 4) = 3(3x² + x - 10) ← distribute parenthesis

18x² - 60x + 50 - 5x² - 20x - 20 = 9x² + 3x - 30 ← simplify left side

13x² - 80x + 30  = 9x² + 3x - 30 ( subtract 9x² + 3x - 30 from both sides )

4x² - 83x + 60 = 0 factor by splitting the x- term

4x² - 80x - 3x + 60 = 0

4x(x - 20) - 3(x - 20) = 0

(4x - 3)(x - 20) = 0

Equate each factor to zero and solve for x

4x - 3 = 0 ⇒ 4x = 3 ⇒ x = [tex]\frac{3}{4}[/tex]

x - 20 = 0 ⇒ x = 20

I need the answer ASAP anyone could help me please

Answers

Answer:

Is it the answer is C?

2+4+3+5+1=15

You want to add each persons total marbles together. So you have… 2 (Ray) + 4 (Ann) + 3 (Roy) + 5 (Zoie) + 1 (Raj) = 15 (total)

Answer: (C) 15

. On a test with 199 multiple choice questions, you received 149 correct answers. Estimate your results as a percentage.

Answers

567 to be a little late for a meeting and then I have a question for you and your dad to pick

Question 18 of 25
Line s is the perpendicular bisector of JK. If line s intersects JK at point L.
which of the following statements must be true?
Check all that apply.
O A. JL = KL
B. Line sis perpendicular to JK
C. Point L is the midpoint of JK
OD. Line s intersects JK at a 180° angle
O E. Line sis parallel to JK
SUBMIT

Answers

Answer:

See below.

Step-by-step explanation:

A perpendicular bisector of a segment is perpendicular to the segment and intersects the segment at its midpoint.

A. JL = KL     True

B. Line s is perpendicular to JK     True

C. Point L is the midpoint of JK      True

D. Line s intersects JK at a 180° angle      False

E. Line s is parallel to JK     False

resuelve:
25+40-(6-4)+(8-9)

Answers

Answer:

la respuesta sería 62, escribo esto por que me está obligando la aplicación :v


Can someone help with questions 9-16

Answers

9) 4,037,880
10) 5,814
11) 5,765,760
12) 20
13) 742,560
14) 116,280
15) 110
16) 303,600

Find the measures of angles x,y and z in the figure. Show your work!!
WILL GIVE BRAINLIEST!!!

Answers

Answer:

x = 106°

y = 106°

z = 106°

Step-by-step explanation:

Find x:

Angle on straight line = 180°

[tex]74+x=180[/tex]

[tex]x=180-74[/tex]

x = 106°

Find y:

Angle y and x are corresponding angle which means x and y will be same

y = 106°

Find z:

Angle y and z are equal because, opposite angles are always equal.

z = 106°

hope this helps......

Answer:

x = 106°

y = 106°

z = 106°

Step-by-step explanation:


Nicole invested $1600 in an account that pays 4.75% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Nicole would have in the account 18 years after her initial investment. Round to the nearest tenth (if necessary ).

Answers

Answer:

2968

Step-by-step explanation:

help I need homework pls help mee​

Answers

Answer:

4a 2/7.

I could solve just this

Answer:

For #3b, shade in 1 1/2 bars

For 4a, i think it is 3/7

4b is prob 43%

5 i think is abt 0.2 miles

What is the reflection of (-50, -30) across the y-axis?

Answers

Answer:

(50,-30)

Step-by-step explanation:

Reflecting a point across the y axis is just like flipping a page on a book. The x  coordinate is flipped and the y coordinate stays the same.

The answer is (50,-30)

true or false
is this a function 0 goes to 0 4 goes to 1 8 goes to 2 and 12 goe to 3

Answers

Answer:

Step-by-step explanation:

True. The function appears to be f(x) = x/4.

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