Consider the pattern 24, 33, 42, 51, …. What will the 10th term be?

Answers

Answer 1

Answer:

a₁₀ = 105

Step-by-step explanation:

There is a common difference between consecutive terms , that is

33 - 24 = 42 - 33 = 51 - 42 = 9

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 24 and d = 9 , then

a₁₀ = 24 + (9 × 9) = 24 + 81 = 105

Answer 2

The 10th number of the arithmetic sequence will be 105.

What is an arithmetic sequence?

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

24, 33, 42, 51, ....

The first term is 24 and the common difference will be

d = 33 - 24

d = 9

Then the 10th term of the arithmetic sequence will be

a₁₀ = 24 + (10 - 1) × 9

a₁₀ = 24 + 9 × 9

a₁₀ = 24 + 81

a₁₀ = 105

The 10th number of the arithmetic sequence will be 105.

More about the arithmetic sequence link is given below.

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Related Questions

.Sort the numbers based on the number of significant figures they have.

Drag each tile to the correct location.

1,230
155.6
200
1,245
8.88
22
136
8.880
0.01
20
20.

Answers

Let's check the significant figures one by one

[tex]\\ \sf\longmapsto 1,230=3[/tex]

[tex]\\ \sf\longmapsto 155.6=4[/tex]

[tex]\\ \sf\longmapsto 200=1[/tex]

[tex]\\ \sf\longmapsto 1245=4[/tex]

[tex]\\ \sf\longmapsto 8.88=3[/tex]

[tex]\\ \sf\longmapsto 22=2[/tex]

[tex]\\ \sf\longmapsto 136=3[/tex]

[tex]\\ \sf\longmapsto 8.880=3[/tex]

[tex]\\ \sf\longmapsto 0.01=1[/tex]

[tex]\\ \sf\longmapsto 20=1[/tex]

One Significant figure - 200, 0.01, 20

Two Significant figures- 22, 20.

Three Significant figures- 1,230, 8.88, 136

Four Significant figures- 155.6, 1,245, 8.880

PLATO

The regular price of a refrigerator is $877. At a discount store, the price is $523. How much money can
Lena save by buying the refrigerator at the discount store?

Answers

Answer:

$345 is how much Lena can save

Step-by-step explanation:

If you can do your homework at a rate of 2.6 minutes for every problem, how many problems could be done after 1.78 hours? Round to a whole number.

Answers

Answer:

41

Step-by-step explanation:

C D
Given: r is inversely proportional to s. If r = 16 when s = 3, then write the formula for the relation between r and s.
a. r=s/48
C. r=s/16
b. r= 48/s
d. r= 16/s
Please select the best answer from the choices provided
A
B
ОООО
Submit
Next
Save and Exit
Mark this and retum

Answers

Answer:

You choose but it looks like what you have labeled B

Step-by-step explanation:

R = K / S         INVERSE PROPORTION

16 = K / 3        VALUES GIVEN: MULTIPLY BY 3 ON BOTH SIDES

16*3 = k

K =  48

Answer: R = 48/S

lisa's father gave her $1032 to buy a present. this covered 3/5 of the cost. How many did the present cost?

Answers

Answer:

$1720

Step-by-step explanation:

1032 is 3/5 of the cost.

Divide 1032 by 3/5, which is 1720.

Thus, the answer is $1720.

The cost of the present day will be $1,720.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Lisa's father gave her $1032 to buy a present. This covered 3/5 of the cost.

The cost of the present day will be given by the division of the numbers 1032 and 3/5.

⇒ 1032 / (3/5)

⇒ 1032 x 5 / 3

⇒ $1,720

The cost of the present day will be $1,720.

More about the Algebra link is given below.

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*What is the perimeter of a square with side length 13.4 inches? Write the direct variation equation.

Answers

Answer:

53.6 inches

p = 4s

Step-by-step explanation:

The perimeter of a square is four times the side

The direct variation equation is

p = 4s

p = 4 * 13.4

p = 53.6 inches

Solve |x – 4| + 6 = 17.
A. x = 15 and x = -7
B. x = 15 and x = -15
C. x =-15 and x = -7
D. x = -15 and x = 7

Answers

Answer:

A

Step-by-step explanation:

15 and -7

|x-4|=17-6

|x-4|=11

x-4=11

x-4=-11

x=11+4

x=15

x=-11+4

x=-7

The initial amount of money that is deposited into an account or that is borrowed is called what

Answers

Answer:

Step-by-step explanation:

Answer: In the context of borrowing, principal is the initial size of a loan or a bond (the amount the bond issuer must repay). In the context of investing, principal is the original sum committed to the purchase of assets—independent of any earnings or interest.

The area of a rectangle is 4y+10.A.Represent the area of the rectangle in factored form.B.Use the factored form to give one possible set of dimensions for this rectangle.

Answers

Area of rectangle=Length×Breadth

[tex]\\ \sf\longmapsto Area=4y+10[/tex]

Take 2 common

[tex]\\ \sf\longmapsto Area=2(2y+5)[/tex]

L=2y+5unitsB=2units

Kim, Jenny, and Wendy are basketball players. Each plays a different position (guard, forward, and center) and wears a different number (30, 32, and 35). Kim and number 30 are too small to play center. Number 35 in the center. Neither Kim nor Wendy is the forward. Who plays guard, and what uniform number does she wear? Be sure to check both answers. A.30 B.Wendy C.Jenny D.Kim E.35 F.32

Answers

Answer:its f

Step-by-step explanation:

the only answer left i hope this helps =)

HELP ME OUT PLEASE

Use the data to create a scatter plot. ​

Answers

Every unit on the left side of the table is going to go on the horizontal or x axis. With a measurement of 2 you got 2 to the right of the origin. Then the right side of the table is the vertical or y axis. And your first number there is one so after you go two right of the origin go up one. Now do that for all pairs, do not connect any lines and remember the rule for graphs, first you go in the elevator (act on x first) then you go up (y next)

help me with number 9 please!!

Answers

Answer:

10

Step-by-step explanation:

just guessed

There are 25 students in a class, and 6 of them will be chosen to go on a field
trip. How many ways can these students be chosen?

Answers

Answer: 150 ways.

Explanation: This question deals with a combination. To find the total number of ways these students may be arranged in a field trip, assuming that the combination does not repeat (there can only be one of each student in a given group of 6), one must simply multiply the number of students total, 25, by the number of students allowed in a group, which is 6. Therefore, 25 • 6 = 150, which gives us our answer.

Pleaseee hellppp (find angle)

Answers

A = 14°

Step-by-step explanation:

We can use sine law in this situation, where

[tex]\dfrac{\sin A}{a} =\dfrac{\sin B}{b}[/tex]

where a and b are the lengths of the sides opposite the corresponding angles. From the given diagram, we can see that

[tex]\dfrac{\sin A}{7\:\text{yd}} = \dfrac{\sin 75°}{28\:\text{yd}}[/tex]

or

[tex]\sin A = \dfrac{7}{28}\sin 75° = 0.241[/tex]

Solving for the angle A, we get

[tex]A = \sin^{-1}(0.241) = 14°[/tex]

(2,-6); m= -1/4
(Write an equation in point-slope form of the line that passes through the given point and has the given slope)

Answers

Answer:

y + 6 = -1/4(x - 2)

Step-by-step explanation:

Point slope form:  [tex]y - y_{1} = m(x - x_{1} )[/tex]

[tex]y - y_{1} = m(x - x_{1} )[/tex]    Substitute slope = -1/4 and point (2, -6)

[tex]y - (-6) =\frac{-1}4} (x - 2)\\[/tex]

y + 6 = -1/4(x - 2)

 

What is an equation for the perpendicular bisector of the line segment joining (1,2) and (-5,12)? Write your equation in point-slope form, standard form, or slope-intercept form.

Answers

Answer:

Step-by-step explanation:y = 0.6x + 8.2

Let f(x)= – 2x-1, h(x) = - X+2.
Find (f o h)(-1).

Answers

f(x) = -2x - 1 h(x) = -x + 2

(f o h)(-1) = ...

= f(h(-1))

= f(-1 + 2)

= -2(-1 + 2) - 1

= 2 - 4 - 1

= -2 - 1

= -3

Solve for x
(x+16) over 3 = 3x



a. X=-7
b. X=-13
c.x= 8
d. X= 2

Answers

Answer:

X=8

Step-by-step explanation:

8+16=24

and 3(8)=24

HELP!!!!
Which situation best represents the equation below?
A. each day, 2.5 inches of water evaporates from the experiment.
B. Two cartons of eggs ring up at the register for $2.50.
C. A bank account is opened with a balance of $5, and $2.50 is deposited each day.
D. John is 2.5 times as big as his brother Sam.

Answers

Answer:

c

Step-by-step explanation:

Suppose all counting numbers are arranged in columns as shown below. Under what letter will the number 2019 appear?

Answers

Answer: b

Step-by-step explanation:

pls help
i will appreciate it if you could help

Answers

Answer:

I think it is 20 percent

Step-by-step explanation:

Sorry if this is wrong

HELPPP LAST ATTEMPT!!

Answers

Answer:

(0,4) is the answer hope it helps

I think it’s 0,4 if wrong check on Desmos

6-4x=12+2x

Solve for x

Answers

6-4X = 12 + 2X
+4X. +4X
6= 12 + 6X
-12. -12
-6 = 6X

X EQUALS -1!

The sum of two numbers is 48. One numner is 3 times the other. Find the numbers.

Answers

Answer:

16 and 3?

Step-by-step explanation:

48÷3=16

hope this helps

Answer:

12 & 36

Step-by-step explanation:

According to the statement:

[tex]x+y=48[/tex]

[tex]x=3y[/tex]

Replace x= 3y:

[tex]3y+y=48[/tex]

[tex]4y=48[/tex]

[tex]y=48/4=12[/tex]

Then:

[tex]x=3y=3(12)=36[/tex]

Hope this helps

5^-x = 6
Help ASAP
STEPS MUST.​

Answers

We have to Find:

The value of x

[tex] \sf \longmapsto5^{ - x }= 6[/tex]

Let's start.

Take Logarithm of both sides

[tex] \sf \longmapsto log(5^{-x}) = log(6) [/tex]

Solving Further

[tex] \sf \longmapsto - x \: log(5) = log(6)[/tex]

[tex] \sf \longmapsto - x = \dfrac{ log(6) }{ log(5) } [/tex]

Take the minus from (-x) and put in on log(6)

[tex] \sf \longmapsto \: x = \dfrac{ -log(6) }{ + log(5)} [/tex]

Done

Dan earns £299 over the course of a five-day week. How much is that per day?

Answers

Answer:

£59.80

Step-by-step explanation:

299 ÷ 5 = 59.80

59.80 × 5 = 299

£59.8

Step by step

£299/5 = £59.8

Use this data set to answer the following question: 5, 10, 12, 4, 6, 11, 13, 5. Remember to show your work.

Calculate the median.

Question 8 options:

Answers

Answer:

8

Step-by-step explanation:

Put them in order from smallest to largest,
4, 5, 5, 6, 10, 11, 12, 13
The median is the middle value, but because there are 8 numbers, you need to do between 6 and 10 which is:
8

Part A: Solve −mk − 90 > 85 for m. Show your work. (4 points) Part B: Solve 3c − 5f = 55 for f. Show your work. (6 points) (10 points)

Answers

Answer:

m < -175/k

f = -11 + [tex]\frac{3}{5}[/tex]c

Step-by-step explanation:

Part A:

-mk - 90 > 85

add 90 to each side to get:

-mk > 175

divide each side by -k to get:

m < -175/k

(inequality symbol switched because we divided by a negative)

Part B:

3c - 5f = 55

subtract 3c from each side to get:

-5f = 55 - 3c

divide each side by -5 to get:

f = -(55 - 3c) / 5  or -11 + [tex]\frac{3}{5}[/tex]c

what is 1 1/2 of 150 and what is 1/2 of 180 ​

Answers

Answer:

1 1/2 of 150 is 225 and 1/2 of 180 is 90

Step-by-step explanation:

1 1/2 of 150 basically means 1 1/2 x 150, which equals to 225. 1/2 of 180 means 1/2 x 180 which is 90.

Answer:

1 1/2 of 150 is "225" and

1/2 of 180 is "90"

Step-by-step explanation:

1 1/2 of 150 basically means 1 1/2 x 150, which equals to 225. 1/2 of 180 means 1/2 x 180 which is 90.

Hope this helps :)

These points are linear.
Find the slope.
M=?

Answers

Answer:

Step-by-step explanation:

(5, 0) (6, 8)

(8 - 0)/(6 - 5) = 8/1 = 8

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