Write down the formula for the nth number and calculate the 10th number and the 101th number of the following sequence: 74, 58, 42, ...

Answers

Answer 1

Answer:

nth number:  74+(n-1)*(-16)

Step-by-step explanation:


Related Questions

Jenny is organising a party,
She buys some paper plates and some plastic cups.
Paper plates are sold in packs.
There are 25 plates in a pack,
Each pack costs 78p.
Plastic cups are sold in packs.
There are 35 cups in a pack.
Each pack costs £1.10
Jenny buys exactly the same number of plates and cups.
What is the least amount of money she pays?


5 Marks​

Answers

Jenny’s going to pay £10.96 to get the same amount of plates and cups which is 7 packets of plates and 5 packets of cups and all together the pieces are 175 each ( I hope it helped)

what is the slope or the line going through (0,0) (6,8) A: -6/8 B: -3/4 C: 3/4 D: 8/6

Answers

Answer:

D: 8/6

Step-by-step explanation:

Slope = y 2 - y 1

x2 - x1

= 8 - 0

6 - 0

=8

6

Answer: D. 8/6

Step-by-step explanation:

To solve this, we can use the slope formula, which is  

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]      ← this is [tex]\frac{rise}{run}[/tex]

Plugging in the values of the two points, we get:

[tex]\frac{8 - 0}{6 - 0} = \frac{8}{6} = \frac{4}{3}[/tex]

In your case though, it is D. 8/6

3/10 divided by -1/3

Answers

Answer:

3/10 divided by 1/3= 0.9

Step-by-step explanation:

∠1 and ∠2 are complementary angles. Given m∠1=83°, find m∠2.

Answers

Answer:  7

Reasoning: Complementary angles always add to 90 degrees.

If angle 2 was x, then x+83 = 90 solves to x = 7

The measure of m∠2 is 7° due to the pair of angles being complementary.

What are complementary angles?

The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles. There are two types of supplementary angles.

Adjacent angles: Adjacent angles are the type of supplementary angles. Adjacent angles have a common side and vertex, for example, a corner point. Their points do not overlap in any way. In other terms, adjacent angles are pairs of two angles next to each other.

We have been given that the pair of angles as

m∠1 = 83°  and m∠2 = x

Here, the pairing of angles sums up to 90° then they are called complementary angles.

So x + 83 = 90°

⇒ x = 90° - 83°

⇒ x = 7°

Therefore, the value of m∠2 is 7°.

Learn more about complementary angles here:

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Solve the proportion.
X over 12 (fraction) = three over four (fraction). x = ??

Answers

X/12 = 3/4

4x = 36

X = 36/4

X = 9

I need help with this question

Answers

Answer:53km/h

Step-by-step explanation:

you divide 424 by 8 in order to find the unit rate or the amount of kilometers per hour

5 x 2/3 in simplest form

Answers

Answer:

10/3

Step-by-step explanation:

Answer:

10/3

Step-by-step explanation:

5/1 x 2/3= 10/3

5 x 2 = 10

1 x 3 = 3

You cannot simplify 10/3.


If the pattern indicated below continued, what would be the total number of cubes in the 8th stage of the pattern?
1, 1+4=5, 1+4+9=14

Answers

Answer:

The number of cubes in the 8th stage of the pattern is 204

Step-by-step explanation:

Here, we want to calculate simply the 8th term of the pattern

T1 = 1

T2 = 1 + 4 = 1 + 2^2 = 5

T3 = T2 + 3^3 = 5 + 9 = 14

T4 = T3 + 4^2 = 14 + 16 = 30

T5 = T4 + 5^2 = 30 + 25 = 55

T6 = T5 + 6^2 = 55 + 36 = 91

T7 = T6 + 7^2 = 91 + 49 = 140

T8 = T7 + 8^2 = 140 + 64 = 204

The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.

A 2-column table with 5 rows. Column 1 is labeled d with entries 0, 7, 14, 21, 28. Column 2 is labeled percent with entries 0, 48, 96, 48, 0.

Use the drop-down menus to complete each statement.

The amplitude of the function is
.

The period of the function is
.

The graph has a vertical shift of
units.

Answers

Answer:

StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet

Step-by-step explanation:

The function is when there are sets of input and output values given and each input value hem has one corresponding output. Input values are unique but output values can be same for more than one input value.

A.........................................

A 2-column table with 5 rows. The first column is labeled x with entries negative 5, negative 3, negative 3, 0, 5. The second column is labeled y with entries 10, 5, 4, 0, negative 10.

Not a function as input values repeated: negative 3

B.........................................

StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet

Yes, it is a function

C.........................................

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 0, 1. The second column is labeled y with entries negative 3, negative 2, negative 1, 0, negative 1.

Not a function as input values repeated: 0

D.........................................

StartSet (negative 12, 4), (negative 6, 10), (negative 4, 15), (negative 8, 18), (negative 12, 24) EndSet

Not a function as input values repeated: negative 12

So correct one is option B

The amplitude of the function is 48.The period of the function is 28.The graph has a vertical shift of 48 units.

7x-7=2x-2 what is the answer

Answers

Answer:

x = 1

Step-by-step explanation:

7x-7=2x-2

5x = 5

x = 1

$98.45 − $10.63 + $2.82 − $20.26

Answers

Answer:

70.38

Step-by-step exp7lanation:

$98.45 − $10.63 + $2.82 − $20.26 =  70.38

Answer:70.38

Step-by-step explanation:

-7-2x=7(x+8)

What is the answer for this expression

Answers

Answer:

x=-7

Step-by-step explanation:

1. Distribute the 7 into the parenthesis: -7-2x=7x+56

2. Combine like terms by doing the opposite operation to the numbers:  -7=9x+56 (added 2x to 7x)

3. Subtract 56 to each side of the equation: -63=9x

4. To isolate the variable "x," divide each side by 9: x=-7

Insert the parenthesis to make the equality right:630÷7÷2⋅9⋅25=125

Answers

Answer:

(630 ÷ 7) ÷ (2 ⋅ 9) ⋅ 25 = 125

Step-by-step explanation:

630 ÷ 7 ÷ 2 ⋅ 9 ⋅ 25 = 125

(630 ÷ 7) ÷ (2 ⋅ 9) ⋅ 25 = 125

         90 ÷ 18 ⋅ 25 = 125

           5 ⋅ 25 = 125

               125 = 125

I know it’s simple but can someone explain to me the percents that go over 100?

Answers

Answer:

Look below.

Step-by-step explanation:

Not exactly sure what is being asked here, but I'm going to assume you need to convert them into decimals.

7.) 0.51

8.) 3.95

9.) 0.49

10.) 0.11

11.) 0.39

12.) 7.39

13.) 9.70

14.) 2.56

15.) 2.77

16.) 0.37

17.) 0.04

18.) 7.73

19.) 0.14

20.) 2.19

Any percent that goes over 100, goes into the unit place.

If I didn't answer the question right, then let me know.

Angle A is 12x - 37 and angle B is 7x + 15. If these angles are vertical, what is the value of x?
x=?

CAN ANYONE HELP ME PLEASEEEE????????????????????????//

Answers

Answer:

x = -439

Step-by-step explanation:

Oh, ok this one will take a while for me to type ;) breath in and breath out!

Ok so watch my steps:

1. 12[tex]x[/tex] - 37

multiply #1 by 7

1. 84x - 259

now multiply #2 by 12 and line 'em up

2. 84[tex]x[/tex] + 180

1.  84x - 259 ( -

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

        x + 439 = 0

             x       = 0 -439

                   x = -439

Pls help Question is below.

Answers

i got 2.7 by dividing 12.15 by 4.5 but im not 100% sure if thats it

2(x+y)=3(y-1)
If y=5 in the equation above, what is x?

Answers

Answer:

X=1

Step-by-step explanation:

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

2x+10=3*4

2x=12-10

2x=2

X=2÷2

X=1

I think the answer is x=1

Please help me with this problem

Answers

Answer:

line l

line m

Step-by-step explanation:

[tex]line \: l \: and \: line \: m \: are \: the \: \\ transversals \: of \: \angle 15 \: and \: \angle \: 5\:\\ respectively. [/tex]

A motorboat heads upstream a distance of 24 miles on the Guadalupe River, whose current is flowing at 3 miles/hour. Which expression can represent the total time it takes to complete a round-trip up and back, where b is the speed of the boat in miles/hour?

Answers

Answer:

24/b-3 + 24/b+3

Step-by-step explanation:

For PLATO users!!!!

This expression represents the total time, Time = [tex]\frac{24}{b-3} + \frac{24}{b+3}[/tex]

What is distance?

Distance is defined as the product of the speed and time.

Given,

b = the speed of the boat in miles/hour

let,  effective speed upstream = (b+3)

effective speed downstream = (b-3)

∵Time = distance/ speed

Given that, upstream a distance of 24 miles

Time = [tex]\frac{24}{b-3} + \frac{24}{b+3}[/tex]

This expression represents the total time it takes to complete a round-trip up and back.

Learn more about distance

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15(t+2)+9t=6 Please help!

Answers

Answer:

t = -1

Step-by-step explanation:

15(t+2)+9t=6

15t + 30 + 9t = 6

combine like terms

24t +30 = 6

subtract 30 both sides

24t = -24

t = -1

22-5(6v-1) = -63

22- 30v + 5 = -63

27 -30v = -63

subtract both sides by 27

-30v = -90

divide it by -30

v = 3

Answer:

-1

Step-by-step explanation:

15(t+2)+9t=6

15t+30+9t=6

15t+9t=6-30

24t/24=-24/24

t=-1

TRIGONOMETRY ANSWER FAST PLS!!!

Answers

Answer:

which class question is this

francis made a rectangular path from her driveway to the porch . the width of the path is 2 ft and the length is 28 ft longer than the width . what is the perimeter of the path

Answers

The perimeter of the rectangular path is 64 ft

What is a Rectangle?

Rectangle is a type of quadrilateral that has its parallel sides equal to each other, opposite sides are equal to each other, and all the angle are equal to 90 degrees.

How to determine this

The perimeter of a Rectangle = 2 ( Length + Width)

Where the Width = 2 ft

Length = 28 ft longer than Width

i.e W + 28

Length = 2 + 28 = 30 ft

To calculate the perimeter if the path

Perimeter = 2( 30 + 2)

Perimeter = 2(32)

Perimeter = 64 ft

Therefore, the perimeter of the rectangular path is 64 ft

Read more about Rectangle

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Denise earns $30 an hour. She works 40 hours per week. Denise would like to purchase a computer that costs $2000. Create and solve an inequality in order to determine the least amount of hours she must work in order to be able to purchase the computer?

Answers

Answer:

67hours hours

Step-by-step explanation:

Given

she works $30 for 1 hour

in 40 hours she will earn 40*30= $1200

this means that a week she earns $1200

let the number of  weeks she needs to work be x

40x*(30)<=2000

1200x<=2000

x<=2000/1200

x<=1.66

the number of hours in a week is 40

40*1.66=66.66

67hours

hence she must work for at least 67hours

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.


The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).


Triangle ABC has coordinates

A

(

1

,


4

)

;


B

(

3

,




2

)

;


and


C

(

4

,


2

)

.

A

(

1

,


4

)

;


B

(

3

,


-

2

)

;


and


C

(

4

,


2

)

.

Find the coordinates of the image

A

'

B

'

C

'

A

'

B

'

C

'

after a reflection over the x-axis.

Answers

Answer:

A'(1, -4)B'(3, 2)C'(4. -2)

Step-by-step explanation:

Given

Triangle ABC with coordinates

A(1, 4), B(3, -2), C(4, 2)To findCoordinates of the image A'B'C' after a reflection over the x-axisSolution

Rule for reflection over x-axis is

R(x) = (x, y) → (x, -y)

The coordinates will change as follows

A(1, 4) → A'(1, -4)B(3, -2) → B'(3, 2)C(4, 2) → C'(4. -2)

Last Friday Kevin had $2. Over the weekend he found some money in his old jeans. He now has $10. How much money did he find?

Answers

He found $8. Explanation: 10-2=8

I need help fast ! What is the slope of y=-x+7 ​

Answers

Answer:

-1 this equation is in slope intercept for y=mx+b. the slope is variable m, which in this case is -1. the one is always invisible in front of variable

Gerald ran 240 yards. Which answer choices are equivalent to the distance he ran?
Select all that apply.
20 inches
2.880 inches
O 8, 640 inches
0 80 feet
720 feet
7 miles

Answers

Answer:

720 feet

Step-by-step explanation:

A yard is equivalent to 3 feet, so 1 yard = 3 feet.

240 yards * 3 = 720 feet

In a group of 150 people, 39 of them wear glasses. What is the probability of randomly selecting a person who does not wear glasses?

A. 111/150
B. 39/111
C. 111/189
D. 189/150
E. 39/150

Answers

Answer:

A. 111/150

Step-by-step explanation:

Because we know that 39 people out of the 150 in the group wear glasses, we need to subtract that from the total. This gives us 111 people that don't wear glasses.

Therefore, the probability of choosing someone not wearing glasses is 111/150.

Which of the following is a rational number?

A) v15

B) v16

C) v17

D) v18

(the v is supposed to be the square root sign)

Answers

Answer:

B. √16=4

Step-by-step explanation:

I need help with this

Answers

Answer:

Im gonna have to say A.

Step-by-step explanation:

Because if you look at the pair triangles in A. The sides are not equal according to the hash marks.

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