Write an
explicit formula for An, the nth term of the sequence
15, 7, -1,....

Answers

Answer 1

Answer:

aₙ=23 - 8n

Step-by-step explanation:

15, 7, -1,....

AP with the first term of 15 and common difference  -8

aₙ=a₁+(n-1)d= 15+(n-1)*(-8)= 15 -8n +8= 23 - 8n

aₙ=23 - 8n


Related Questions

What’s the answer I need help plssssssssss

Answers

Answer:

[tex]\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex]

So A is the answer

Step-by-step explanation:

[tex]y=\frac{19}{x^3}\\\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y\\x=\frac{19}{y^3}\\\mathrm{Solve}\:x=\frac{19}{y^3}\:\mathrm{for}\:y\\y=\sqrt[3]{\frac{19}{x}}\\\sqrt[3]{\frac{19}{x}}\\\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex]

A circle centered at the origin contains the point (0, –9). Does (8, StartRoot 17 EndRoot) also lie on the circle? Explain.No, the distance from the center to the point (8, StartRoot 17 EndRoot) is not the same as the radius. No, the radius of 10 units is different from the distance from the center to the point (8, StartRoot 17 EndRoot). Yes, the distance from the origin to the point (8, StartRoot 17 EndRoot) is 9 units. Yes, the distance from the point (0, –9) to the point (8, StartRoot 17 EndRoot) is 9 units.

Answers

Answer:

Step-by-step explanation:

No it does not cause the 8 To the 17 overpasses the coordinates 0,-9 so the perimeter of the imaginary circle it expands loosely over the designated area

Answer:

Answer C

Step-by-step explanation:

EDGE2021

Find the values of x and y in the diagram.

Answers

Answer:can you put some angle degrees on it plz

Step-by-step explanation:

What is the discriminant of the quadratic equation 0 = 2x² + 3x - 5?
-37
-31
43
49

Answers

Answer:

D 49

Step-by-step explanation:

just did it

The answer is 49 I did the math

How many prime numbers have squares between 100 and 300?

Answers

Answer:

there are 62 prime numbers with squares

Answer:

i believe it is 3...?

11, 13, and 17

Step-by-step explanation:

11 = 121

13= 169

17 = 289

these are prime numbers

[tex]x^{2}-5x-24=0[/tex]

Quadratic Formula and solve

Answers

Answer:

x= 8, 3

Step-by-Step Explanation:

[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]

[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]

Please help me with my question!!

Answers

We know that the area of each tile is 3 1/2in^2

All we need to do is divide.

210 / 3.5 = 60

So, she will need 60 tiles to cover the entire bathroom floor.

Best of Luck!

A biologist uses a box-shaped fish trap that measures 1/4meter by 2/3meter by 3/5meter. What is the volume of the trap in the cubic meters.

Answers

To find the volume of a box-shaped fish trap, we have to multiply the three dimensions of it: 

(1/4 m)* (2/3 m)* (3/5 m)

= (1*2*3)/ (4*3*5) m^(3)

= 6/ 60 m^(3)

= 1/10 m^(3)

= 0.1 m^(3)

The volume of the box-shaped fish trap is 0.1 m^(3).

Hope this is helpful~

Can u please answer this question in the picture below or above I guess

Answers

Answer: B. 72ᴼ alternate exterior angles theorem

Step-by-step explanation:

Alternate exterior angles because they’re angles on the outside of the transversal.

Alternate exterior angles are also congruent to each other, so that’s why 2 is congruent to 72ᴼ

Calculating the Surface Area of a Triangular Prism The triangular prism shown has 1235 triangular face(s) and 1235 lateral face(s). The area of one triangular face is 7.58.1251517 mm2. The surface area of the triangular prism is 55.5127.5135150 mm2.

Answers

Corrected Question

The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.

The area of one triangular face is 7.5,8.125,15,or 17  [tex]mm^2[/tex]

The surface area of the triangular prism is 55.5,127.5,135,or 150  [tex]mm^2[/tex]

Answer:

(B)2 triangular faces

(C)3 lateral faces.

(A)Area of one Triangular Face [tex]=7.5mm^2[/tex]

(C)Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]

Step-by-step explanation:

The triangular prism is attached.

The triangular prism shown has 2 triangular faces and 3 lateral faces.

Base of the triangle =2.5mm

Height of the Triangle =6mm

Area of one Triangular Face [tex]=\frac{1}{2}*6*2.5=7.5mm^2[/tex]

The dimensions of the lateral rectangles are:

2.5 mm by 8mm6 mm by 8mm6.5 mm by 8mm

Therefore, total surface area of the triangular prism

=2(Area of one Triangular Face)+Area of 3 rectangular faces

[tex]=2(7.5)+ (2.5 X 8+ 6 X 8 + 6.5 X 8)\\=15+120\\=135mm^2[/tex]

Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]

Answer:

A....2

B....3

C.....7.5

D......135

Step-by-step explanation:


The two segments formed as a result of a bisector will
always be______?
1Proportional
2Perpendicular
3Congruent
4Parallel

Answers

I believe it’s 2) perpendicular

It can’t be parallel because that means they never touch but a bisector is something that cuts into two parts

congruent has to do more with size/being equal

At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?

Answers

Answer:

3 to 5 This is because if you simplify the ratio by dividing each number in the ratio by 4, therefore for every group of 5 birds 3 of them are parrots

Step-by-step explanation:

Answer:

answer d

Step-by-step explanation:

edg 2020

Raj was asked to fully simplify this polynomial and put it into standard form.
2x2y + 8x3 – xy2 – 2x3 + 3xy2 + 6y3
Raj simplified the polynomial with a final term of 6y3. What is the first term of the polynomial Raj ended up with?
6x3
8x3
2xy2
3xy2

Answers

Step-by-step explanation:

The first term is 6x3

Because he subtracted like terms 8x3 and 2x3

Answer:

6x³

Step-by-step explanation:

2x²y + 8x³ – xy² – 2x³ + 3xy² + 6y³=

6x³+2x²y+2xy²+6y³

What is the completely factored form of f(x) = 683 – 1332 - 4x + 15?

Answers

Answer:-637

Step-by-step explanation:

i’ve been stuck on this one

Answers

[tex]the \: right \: answer \: is \: of \: option \: a \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

the weights of cars passing over a Bridge have a mean of 3550 lb and a standard deviation of 870 lb. Assume that the weights of the cars passing over the bridge, Lee distributed. Use the empirical rule to estimate the percentage of the cars going over the bridge whose weights are more than 4420 lbs.

Answers

Answer:

  a.  16%

Step-by-step explanation:

The difference from the mean is ...

  (x - µ) = 4420 lb -3550 lb = 870 lb

Then the minimum Z-score of the traffic of interest is ...

  (x - µ)/σ = (870 lb)/(870 lb) = 1

__

The "empirical rule" tells you that 68% of a normal distribution is within 1 σ (Z = ±1) of the mean. If 68% is inside that range, then the remaining 32% is outside that range. The normal distribution is symmetrical about the mean, so half that quantity is below Z = -1, and the other half, 16%, is above Z=1.

About 16% of the cars have weights more than 4420 pounds.

find the length of each side of a square field whose area is 608 sq.m

Answers

Answer:

a=24.65 sq.m

Step-by-step explanation:

A=[tex]a^{2} or l^{2}[/tex]

608=[tex]a^{2}[/tex]

[tex]a=\sqrt{608}[/tex]

[tex]a=24.65[/tex]

To check your answer

[tex]A=a^{2} \\A=24.65^{2}\\A=24.65*24.65\\A=607.6225=608[/tex]

Evaluate A² for A = 2.3

Answers

Answer:

5.29

Step-by-step explanation:

From A=2.3, A^2=2.3^2.3=2.3*2.3=5.29
Idk how to explain but 5.29 is the answer

Timothy Bergling is designing a logo. The logo is a polygon whose shape is a square attached to an equilateral triangle. The square and the equilateral triangle have side lengths of 2 centimeters, and the equilateral triangle has a height of about 1.7 cm. Find the area of the logo.

Answers

Answer:

The logo has an area of 5.7 cm².

Step-by-step explanation:

The area of the logo must be equal to the sum of the square's area and the triangle's one, therefore we will calculate each individually. The triangle is attached to the square, this means that its base has the same length as the side of the square.

[tex]square = side^2 = 2^2 = 4 \text{ cm}^2[/tex]

[tex]triangle = \frac{b*h}{2} = \frac{2*1.7}{2} = 1.7 \text{ cm}^2[/tex]

The total area of the figura is:

[tex]total = square + triangle = 4 + 1.7 = 5.7 \text{ cm}^2[/tex]

The logo has an area of 5.7 cm².

What is the answer to 2+5(11-6)+12/3?

Answers

Answer:

39

Step-by-step explanation:

From left to right but first parenthesis

11-6=5

5+2=7

7x5=35

12/3=4

35+4=39

Answer:

39

Step-by-step explanation:

1. Never forget to use P.E.M.D.A.S

11 - 6 = 5

2 + 5 (5) + 12/3

39

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

180 meters

Step-by-step explanation:

The function you have here is negative function meaning the function has a concave down parabola (if you graph it on desmos or a graphing calculator you'll see what I'm talking about).

So they gave it to you in factored form and asked you to find the max. The max of this function is at the vertex of the parabola. In order to find the vertex you have distribute or multiply to get the original polynomial.

-5(x-8)(x+4)

-5(x^2+4x-8x-32)

-5(x^2-4x-32)

-5x^2-20x-160

Vertex formula is: -b/2a

b = 20

a = -5

[tex]\frac{-20}{2(-5)}[/tex]

= 2

The x-coordinate of the vertex is 2.

Plug 2 into the equation

-5(2)^2+20(2)+160

= 180 meters

Please answer correctly !!!!!!! Will mark brianliest answer !!!!!!!!!!

Answers

Answer:

g(-4) =1

Step-by-step explanation:

g(-4) we want to find the value of the graph when x = -4

Got over to x=-4

Got up to the blue line

read the value of the y coordinate

y=1

g(-4) =1

What is the difference between -4 and 6

Answers

[tex]answer = - 10 \\ solution \\ - 4 - 6 \\ = - 10 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

[tex] - 10[/tex]

Step-by-step explanation:

We know that,

[tex]( - ) \times ( + ) = ( - )[/tex]

[tex]( - ) + ( - ) = ( - )[/tex]

Let's solve

[tex] - 4 - ( + 6) \\ - 4 - 6 \\ = - 10[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!


What is the probability that a card drawn randomly from a standard deck of 52 cards is a red eight Express your answer as a fraction in
lowest terms or a decimal rounded to the nearest millionth

Answers

Answer:

=1/26

Step-by-step explanation:

In a 52 card deck there are 2 red 8's ( hearts and diamonds)

P(red 8) = number of red 8's / total

             =2/52

             =1/26

what is the solution to -5x-7=3

Answers

Answer:

x = -2

Step-by-step explanation:

-5x - 7 = 3

-5x = 10

x = 10/-5

x = -2

Step 1: move the constant to the right hand side and change its sign.
-5x=3+7
Step 2: Add the number.
-5x=10
Step 3: divide both sides of the equation by -5.
X=-2
And your solution should be X= -2
I hope that helped

the base of a pyramid is equilateral triangle of side 8cm long. If the altitude of the pyramid is 15cm ,find it's volume​

Answers

Answer:

V = 80√3 cm³

Step-by-step explanation:

V = Ab×h/3

Ab = l²√3/4 = 64√3/4 = 16√3 cm²

V = 16√3cm²×15cm/3

= 16√3cm²×5cm

= 80√3 cm³

Answer:

138.56cm2

Step-by-step explanation:

B.a×hx1/3

B.a=1/2×8×8sin60=27.71cm2

1/3×27.71×15=138.56cm2

find the mean deviation of the following set of numbers: 10,12,14,15, 17 and 19
(A). 2.5
(B). 2.6
(C). 2.7
(D). 2.8​

Answers

Answer:

2.5

Step-by-step explanation:

I'm sorry I don't know how to explain it but I'm pretty sure the answer is a. 2.5

When will 4a ≤ 16 be true?

Answers

Answer:

It will be true when a ≤ 4

Step-by-step explanation:

You can plug in the number to see if it is correct. 4(4) ≤ 16. Sorry, I'm not the best at explaining things.

find the size of angle yxz give your answer to 3 significant figures 20cm 8cm

Answers

tan X = |YZ| / |XZ| = 20/8 = 5/2

X = arctan(5/2) = 68.2°

Answer: 68.2°

The size of angle ∠YXZ is 68.3° given that sides YZ=20cm and XZ=8cm by using trigonometric ratios.

What are trigonometric ratios?

In a right angled triangle, if A is an angle other than right angle then trigonometric ratios are

sin A =[tex]\frac{opposite side}{hypotenuse}[/tex]

cos A=[tex]\frac{adjacent side}{hypotenuse}[/tex]

tan A =[tex]\frac{opposite side}{adjacent side}[/tex]

Calculate the angle ∠YXZ

Given YZ=20cm and XZ=8cm

Since the triangle is right angled, and opposite side and adjacent side are given we can find tan(∠YXZ )

tan (∠YXZ ) =20/8 =2.5

∠YXZ = arctan (2.5) =68.2°

Hence the size of angle ∠YXZ is 68.2° given that sides YZ=20cm and XZ=8cm.

Learn more about trigonometric ratios here :

brainly.com/question/22384999

#SPJ2

Mr Hassan gave his year 7 class a test on Friday. the highest possible mark for the test was 10.​

Answers

Answer:

To solve this question, we just need to observe the given graph.

(A) How many pupils scored more than 8 in the test?

Each little square is equivalent to 0.5 units, so there are 5 students who fot more than 8. Specifically, 1 got 8 points and 4 students got 10.

(B) How many pupils are there in Mr. Hassan's Year 7 class?

There are 33 pupils in total, remember that each little square is equivalent to 0.5 units.

(C) What assumption have you made in answering part b)?

The assumption was that the majority of pupils scored less than 8.

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