If the nth term of a number sequence is n squared -5 find the first 3 terms and the 10th term

Answers

Answer 1

Answer:

If the nth term is n^-5,

Then the first term will be (1)^-5=1

Second term will be (2)^-5= 1/32

3rd term=(3)^-5 = 1/243

So, 10th term will be (10)^-5=1/100000

Answer 2

The first term is -4, second term is -1, third term is 4 and 10th term is 95.

What is sequence

a group of connected actions, moves, or things that happen in succession and have a specific order.

Given that,

The nth term of sequence = n² - 5          (1)

To find terms, Substitute values of n in equation (1),

Substitute n=1, the first term = 1-5 = -4

Substitute n=2, the second term = 4-5 = -1

Substitute n=3, the third term = 9-5 = 4

For 10th term, substitute n= 10,

10th term  = 100-5 = 95

First term =-4, second term = -1, third term = 4 and 10th term = 95.

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Related Questions

What is the solution to this equation?

2x + 6 = 20

A. X = 13
B. X = 52
C. X = 28
D. X = 7

Answers

Answer:

d

Step-by-step explanation:

2(7)+6=20

14+6=20

20=20

Answer:

2x + 6 = 20

2x = 20 - 6

2x = 14

Divide both sides by 7

x = 7

That's option D.

Hope this helps.

Tickets to a concert cost either $12 or $15. A total of 300 tickets were sold, and the total receipts were $4140. How many of each kind of ticket were sold?

Answers

Answer:

1,242,000

Step-by-step explanation:

The ratio of the number of Andys seashells to the number of Bens seashell is 4:9. Andy has 100 seashells. How many seashells does Ben have?

Answers

Answer:

225 seashells

Step-by-step explanation:

4:9

100:x

Cross multiply the ratios.

4x=900

x=900/4

x=225

how does the fact that a parallelogram has rotational symmetry demonstrates that opposite side of a parallelogram are congruent ?​

Answers

Answer:

See below.

Step-by-step explanation:

It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.

Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.

Proved!

Every integer is a whole number
Please select the best answer from the choices provided
T
F

Answers

Answer:

This is true.

i neeeeeeeeedd help filling in the blanks

Answers

A. $6
B. 3
C. 11,034
D. 70 mL

Answer:

Step-by-step explanation:

6

2

11,034

70 ml/s

Can someone help me with this question

Answers

Answer:

[tex]3[/tex]

Step-by-step explanation:

Write in the exponential form with a base of 3

[tex]9^{\frac{1}{2} }[/tex] → [tex](3^{2})^{\frac{1}{2} }[/tex]

Simplify the expression by multiplying the exponents.

[tex]2 * \frac{1}{2} = 1[/tex]

[tex]3^{1} = 3[/tex]

Find the domain and range of the following relation. Also determine whether the relation is a function,
{(42)(4,5),(4.7),(4.9)}

Answers

Answer: domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

Step-by-step explanation:

DOMAIN: {4}

RANGE: {2,5,7,9}

FUNCTION? NO!

Your domain is always your x-coordinates, which are the first coordinates in a pair.

Your range is always your y-coordinates, which are the second coordinates in a pair.

When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.

Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there were two nines, but instead, I put one.

I NEED HELP PLEASEEE \6(2x – 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points)

Answers

Answer:

x = [tex]-7\frac{2}{3}[/tex]

Step-by-step explanation:

=> 6(2x+11) + 15 = 3x+12

(Expand the brackets)

=> 12x+66+15 = 3x+12

(Adding 66+15)

=> 12x+81 = 3x+12

(Subtracting 81 and 3x to both sides)

=> 12x-3x = 12-81

=> 9x = -69

(Dividing both sides by 9)

=> x = [tex]\frac{-69}{9}[/tex]

(Simplifying)

=> x = [tex]\frac{-23}{3}[/tex]

(Converting it into mixed form)

=> x = [tex]-7\frac{2}{3}[/tex]

So, x = [tex]-7\frac{2}{3}[/tex] will make the equation true.

Answer:hello

The answer is 7

Step-by-step explanation:at first solve this6(2x-11)=12x-66

Then write 12x-66+15

Then we have this 12x-66-15=3x+12

Then we have to write (x) in the left side and number in right side

12x-3x=66-15+129x=63

X=7

Good luck

OMG HELPPP PLEASEEE plssss

Answers

Answer:

Brainliest goes to me

Step-by-step explanation:

if you solved it... it would be 8.75

but you can't like 0.75 of a color so it isn't possible

0.75 is to be rounded up so I would do 9

Answer:All you have to do is multiply

Step-by-step explanation:

What is the least common factor of 9 and 15? (Don’t say 45 please because that’s not the answer I’m looking for ;)

Answers

Answer:

The (GCF) greatest common factor is 3

hope this helps ;)

Step-by-step explanation:

Answer:

LCF = 3

Step-by-step explanation:

The factors of 9 are: 1, 3, 9

The factors of 15 are: 1, 3, 5, 15

The least common factor is 3. It is the lowest number that is a factor of both 9 and 15. Technically, 3 is the GCF and the LCF because it is the only common factor of 9 and 15.

I hope this helps!!

Which statement is true?
The transformation is rigid because corresponding side
lengths and angles are congruent.
The transformation is rigid because corresponding side
lengths are congruent and corresponding angles are not
congruent.
The transformation is nonrigid because the two
triangles have different names.
The transformation is nonrigid because the three sides
and the three angles in each triangle have different
measures.

Answers

Answer:

Option A

Step-by-step explanation:

The triangle most likely got translated. A translation is a rigid transformation. Rigid transformed shapes have the same angle measure and side lengths.

Option A should be the correct answer.

Side Note: You can also tell that the markings on the triangle are the same. This means that the shapes are congruent. They are just in different positions.

The true statement is (a) the transformation is rigid because corresponding side lengths and angles are congruent.

How to determine the true statement?

From the figure, we have the following highlights

Corresponding angles are congruentCorresponding sides are congruent

The above means that the transformation from one triangle to the other is a rigid transformation

Hence, the true statement is (a)

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There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but everyone else shakes hands exactly once, how many handshakes are there?

Answers

Answer:

4512 handshakes

Step-by-step explanation:

We are told in the question, that there are

96 people in the room = 48 couples

Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once

This means

48 couples will shake 94 people because they are excluded

This is calculated as

48 × 94 = 4512 handshakes

use the quadratic formula to find both solutions to the quadratic equation given below. 3x^2-x+4=0

Answers

Answer: B and D

Step-by-step explanation: A p e x

The value of the quadratic equation  3x² - x + 4 = 0 is B. {1 - √(-47)}/6 and

D. {1 + √(-47)}/6.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, 3x² - x + 4 = 0.

We know x = {- b ± √(b² - 4ac)/2a}.

∴ x = {+ 1 ± √(1 - 48)}/6.

x = {1 ± √(-47)}/6.

x = {1 + √(-47)}/6 Or {1 - √(-47)}/6.

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Someone please help

Answers

Answer:

A

Step-by-step explanation:

The 3D shape of the 5 cubes put to a 2D-plane will be representing the diagram A.

Answer: A

Step-by-step explanation:

This is because Option A has 5 cubes, as well as the model above which also has 5 cubes. When you change the angle of the way you are looking at Option A it will be  similar to the plan above

Find x. Round your answer to the nearest tenth of a degree.

Answers

Answer:

x ≈ 31.3°

Step-by-step explanation:

We can use sin∅ to solve this:

sinx = 13/25

x = [tex]sin^{-1}(13/25)[/tex]

x = 32.3323

what is the area of the triangle below?

Answers

The answer is B:68

All you have to do is base times height and divide by 2

A=bh/2

A=17(8)/2

A=136/2

A= 68
the answer is B. 68 sq units

A bridge connecting two cities separated by a lake has a length of 5.651 mi.
Use the table of facts to find the length of the bridge in yards.
Round your answer to the nearest tenth.

Answers

Answer:

The equivalent of 5.651 mi is 9945.76  yards

Step-by-step explanation:

Given:

Length of lake = 5.651 mi

Required:

Length of bridge in yards

From table of facts;

1 mile = 1760 yards

This implies that

5.651 miles will be:5.651 * 1760 yards

5.651 * 1760 yards = 9945.76  yards

5.651 * 1760 yards = 9945.8  yards (Aproximated)

Hence, the equivalent of 5.651 mi is 9945.76  yards

Which equation has a graph that is parallel to the graph of 2x - y = -1?
A. 2x + y = 8
о В.
y=-x+3
O C. y-1 = 2(x - 3)
O D. y = -2x - 1

Answers

Answer:

C.

Step-by-step explanation:

Parallel lines have the same slope but different y-int. So if our original equation is y = 2x + 1, then the other equation would have to be y = 2x + b, where b ≠ 1. Only answer C. works.

Answer:

The answer is C) y-1=2(x-3)

Step-by-step explanation:

Two equations are parallel if they have the same slope and different y-intercepts. In the answer (c) 2 represents the slope which is also the slope of the original equation. y=2x-5is the equation that you get when you distibute and isolate y.

please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

The answer is 7 because u just keep adding 3/4 til ur even with 5 1/4

Answer:

C. 7

Step-by-step explanation:

Custodian has = [tex]5 \frac{1}{4} gallons[/tex]

Ever bookcase needs = [tex]\frac{3}{4} gallons[/tex]

We'll just divide them

Bookcases to be painted = [tex]5\frac{1}{4} / \frac{3}{4}[/tex]

= [tex]\frac{21}{4}* \frac{4}{3}[/tex]

= [tex]\frac{21}{3}[/tex]

= 7

PLEASE HELP! 5 MINS! You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board with T-shaped tiles like the one shown? Each cell of the shape is congruent to one cell on the board.

Answers

Answer:

15

Step-by-step explanation:

30/2 = 15

Answer:

7

Step-by-step explanation:

Hey, sorry if this is a little late, but think of the tiles in an arrangement where 4 fit into a rectangle type thing. Now, since you want to find the maximum number of boards, find the closest number that you can multiply by 4 to get something close to 30. Here, you can see that 7x4=28, which is both an even number and the closest number to 30 as you can get. So, the answer is 7.

would this be a? please explain, thanks!

Answers

Answer:

Itz B.

Step-by-step explanation:

To form a triangle to two smaller sides have to be able to add up to be greater than the big side

Sara leaves home at 7 A.M. traveling at a rate of 45 mph. Her son discovers that she has forgotten her briefcase and starts out to overtake her. Her son leaves at 7:30A.M. traveling at a rate of 55 mph. At what time will he overtake his mother?

Answers

Answer:

B I think

Step-by-step explanation:

Answer:

Dude, there is no option?

Step-by-step explanation:

Solve 5(x - 4) = 2(x + 5)for x

Answers

5x-20 = 2x+10

3x-20= 10

3x= 30

x=10

Answer:

x = 10

Step-by-step explanation:

Step 1: Distribute parenthesis

5x - 20 = 2x + 10

Step 2: Add 20 to both sides

5x = 2x + 30

Step 3: Subtract 2x from both sides

3x = 30

Step 4: Divide by 3

x = 10

Solve for x. ANSWERS: A) 12 B) 13 C) 11 D) 10

Answers

Answer:

A) 12

Step-by-step explanation:

Since triangles YRZ and QRS are similar by AA, the ratio of their sides should be constant. Since RY=QY, let's call that side length y.

[tex]\dfrac{x+2}{y}=\dfrac{3x-8}{2y}[/tex]

Multiply both sides by 2y:

[tex]2(x+2)=3x-8 \\\\2x+4=3x-8 \\\\4=x-8 \\\\x=12[/tex]

Hope this helps!

Express 5/7 as a decimal. (Round to the nearest thousandths place)

Answers

Answer:

rounding to the thousandths place, the answer is 0.714

Step-by-step explanation:

This can easily be looked up on google

5/7 as a decimal that is rounded to the nearest thousands place is .714

If ΔP′QR′ is a dilated image of ΔPQR, find the scale factor (k) and then find the value of x. answers: A) 7 B) 10.7 C) 6 D) 73.5

Answers

Answer:

see explanation

Step-by-step explanation:

To find k, calculate the ratio of corresponding sides, image to original, that is

k = [tex]\frac{P'R'}{PR}[/tex] = [tex]\frac{8}{28}[/tex] = [tex]\frac{2}{7}[/tex]

Thus

QR' = [tex]\frac{2}{7}[/tex] × QR = [tex]\frac{2}{7}[/tex] × 21 = 2 × 3 = 6 , that is

x = 6 → C

Two jets are flying towards each other from airport that are 1200 km apart. One jet is flying at 250 km.h-1 and the other jet at 350 km.h-1 . If they took off at the same time, how long will it take for the jets to pass each other?

Answers

Answer: 2 hours

Step-by-step explanation:

The total velocity at which the planes are approaching each other is 350 + 250 = 600 km/h

Since time = distance/velocity, time = 1200km/ 600 km/h = 2 hours.

Which of the following is a result of shifting a circle with equation (x-2)2 +(y-3)2=25 to the left 2 units ?
A.) Both the x- and y-coordinates of the center of the circle increased by 2
B.) Both the x- and y-coordinate of the center of the circle decreased by 2
C.) The y-coordinate of the center of the circle decreased by 2
D.) The x-coordinate of the center of the circle decreased by 2

Answers

Answer:

D.) The x-coordinate of the center of the circle decreased by 2

Step-by-step explanation:

(consult the diagram attached below)

Consider a circle

(x - 2)² + (y - 3)² =25

Where (h, k ) = (2, 3) which is the center of the circle.

When we want to move the circle to the left by 2 units, it also means the the center of the circle will move 2 units to the left.

If center of the circle moves 2 units to the left, it means that the x coordinate of the center of the circle will be decreases by 2 units, while y coordinate will remain the same.

Hence the new coordinate for the center of the circle is (2-2, 3) = (0, 3)

The new equation of circle will be:

(x - 0)² + (y - 3)² =25

(x )² + (y - 3)² =25

Which of these needs the denominator rationalized? -PLEASE HELP

Answers

Answer:

option b

Step-by-step explanation:

[tex] \sqrt{ \frac{5}{3} } [/tex]

[tex] \frac{ \sqrt{5} }{ \sqrt{3} } [/tex]

the denominator is in the surd form, so it must be rationalized

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