45th term of an arithmetic sequence having a=3 and d=8 is:

Answers

Answer 1

Answer:

a45 = 320

Step-by-step explanation:

Answer 2

The 45th term of the Arithmetic Sequence will be 355.

We have a Arithmetic Sequence with a = 3 and d = 8.

We have to determine the 45th term of this sequence.

What is the formula to calculate the nth term of an Arithmetic Sequence ?

The formula to calculate the nth term of an Arithmetic Sequence is -

a(n) = a + (n - 1)d

a - first term of A.P.

d - Common difference of A.P.

n - position of term

According to the question -

a = 3

d = 8

n = 45

Then, using the formula to calculate the nth term, we get -

a(n) = a + (n - 1)d

a(45) = 3 + (45 - 1)8

a(45) = 3 + 44 x 8

a(45) = 3 + 352

a(45) = 355

Hence, the 45th term of the Arithmetic Sequence will be 355.

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Related Questions

Mike spins a spinner and flips a coin. What
is the probability of getting E on the spinner
and the coin landing on heads?

Answers

Answer:

3/16

Step-by-step explanation:

The probability of spining an E is 3/8 and the probability of fliping heads on a coin is 1/2 so the probablility of both those things happening is 1/2*(3/8) or 3/16

Find two numbers whose product is 110, and whose sum is 21.

Answers

Step-by-step explanation:

The answer is 10 and 11

10 + 11 = 21

10 × 11 = 110

Consider: f(x) = One-half(3)x and g(x) = –One-half(3)–x On a coordinate plane, an exponential function f (x) approaches y = 0 in quadrant 2 and increases in quadrant 1. How would the graph be affected from f(x) to g(x)? The output values are reflected across the x-axis, but the input values are the same. The output values are the same, but the input values are reflected across the y-axis. The output values are reflected across the x-axis and the input values are reflected across the y-axis. The output values are the same and the input values are the same.

Answers

Answer:The output values are reflected across the x-axis and the input values are reflected across the y-axis.

Step-by-step explanation:

aye man you gotta believe me ;)

The graph of f(x) is transformed into g(x) by reflecting the output values across the x-axis and reflecting the input values across the y-axis.

We have,

f(x) = (1/2)³x

and, g(x) = -(1/2)³⁻ˣ

In f(x), the coefficient 3 in the exponent represents exponential growth.

Now, g(x) = –One-half(3)–x.

Here, the negative sign changes the sign of the output values, reflecting them across the x-axis. This means that the graph will be flipped upside down.

and, the negative exponent also changes the sign of the input values, reflecting them across the y-axis. This means that the graph will be mirrored across the y-axis.

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The population of Banana Island is slowly increasing and can be calculated by P(t) = 93.3/3 + 0.23t where Pis the population (measured in millions) and t is time (measured
in years). Approximately how many years will it take for the population of the island to reach 200 million?

A. 6.9
B. 1.6
C. 7.9
D. 4.6

Answers

Answer:

6.09 is the ans thanku please mark me brainleaset ans

Mikes parents bought him new gaming console he gets 72612312 games n puts in 5312 how much does he have left

Answers

Answer:

Seventy-two million, six hundred and seven thousand games remaining

please mark brainliest

Answer:

72607000

Step-by-step explanation:

just subtract 5312 from 72612312

Evaluate x^3-3y when x=-3 and y=4

Answers

Answer:

If you would like to solve x^3 - 3 * y when x = - 3 and y = 4, you can do this using the following steps:

x = - 3

y = 4

x^3 - 3 * y = (-3)^3 - 3 * 4 = -27 - 12 = - 39

The correct result would be A -39.

Step-by-step explanation:

pa answer PO Ng question ko plss BRAINLYES Naman dyan

Al llegar a la caja de un supermercado, la cuenta fue de 330 en alimentos y 150 en útiles de aseo . En el momento de pagar, le descontaron 10. si recibio 30 de vuelto ¿con cuanto pago?

Answers

Answer:

500

Step-by-step explanation:

330+150=480

480-10=470

470+30=500

Dylan has 58912 cookies he eats 34512 how much does he have now?

Answers

Answer:

24,400

Step-by-step explanation:

58912 minus 34512 equals 24400.

Hope this Helps.

BTW it's my birthday

Answer:

24400

Step-by-step explanation:

No explanations; 58912-34512=24400

Use 2-3 sentences to explain, in your own words, why the two acute angles in a right
triangle are complementary using the following vocabulary words: right triangle, acute
angles, angle sum theorem, and degrees.

Answers

Answer:

In a right triangle, we know that there is one 90 degree angle and two acute angles. The angle sum theorem states that the sum of all angles in a triangle equal 180 degrees. For this reason, we know that these two acute angles must equal 90 degrees or be complementary angles to add up with the 90 degree right angle and equal 180.

I hope this helps!

Answer:

In a right triangle, the angle opposite the hypotenuse is always 90 degrees. The angle sum theorem states that the sum of the interior angles of a triangle is 180 degrees.  Therefore, the other two angles sum to 90 degrees, which means they are complementary.  They are also acute angles, since they are each less than 90 degrees.

5 questions! Math, answer by saying "question __ is ____ " thank you! picture included! 50 points!

Answers

Answer:

1.c

2.a

3.d

4.b

5.b

Step-by-step explanation:

I found the answers on a web site.

Answer:

1.A

2.D

3.C

4.B

5.A

Step-by-step explanation:

[50 points!]

Find P (Freshman | Boy)

Hint:
P(A and B)/P(B)

Classroom of Students:
Boys Girls
Freshman 4 4 8
Sophomore 57 12
Junior 2 3 5
Senior 1 4 5
12 18

Reduce your fraction to lowest terms.

Enter the number that belongs in the green box.


Answers

Answer:

1/3

Explanation:

P(Freshman | Boy)

Freshman = 4Boy = 12

⇒ Probability = Number of favorable outcomes ÷ Total number of possible outcomes

P(Freshman | Boy) = freshman/total boysP(Freshman | Boy) = 4/12P(Freshman | Boy) = 1/3

Answer:

[tex]\sf \dfrac13[/tex]

Step-by-step explanation:

From the table:

Total number of Boys = 12Total number of students = 30Total number of Boys who are Freshman = 4

[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]

[tex]\sf \implies P(Boy)=\dfrac{12}{30}[/tex]

[tex]\sf \implies P(Freshman \cap Boy)=\dfrac{4}{30}[/tex]

[tex]\begin{aligned}\sf P(Freshman|Boy) & = \sf\dfrac{P(Freshman \cap Boy)}{P(Boy)}\\\\ & = \sf\dfrac{4}{30} \div \dfrac{12}{30}\\\\ & = \sf\dfrac{4}{30}\times \dfrac{30}{12}\\\\ & = \sf \dfrac{4}{12}\\\\ & = \sf\dfrac{1}{3}\end{aligned}[/tex]

what is 2pi*4^2 + 2pi*4*4

~giving brainliest!~

Answers

Answer:

[tex]64\pi[/tex]

Step-by-step explanation:

[tex]2\pi {(4)}^{2} + 2\pi \: 4 \ast4 \\ \\ = 2\pi \ast16 + 2\pi \ast16 \\ \\ = 32\pi + 32\pi \\ \\ = 64\pi[/tex]

Answer:

64π

Step-by-step explanation:

2π(4²) + 2π(4)(4) <== exponents first

2π(16) + 2π(16) <== multiply

32π + 32π <== add

64π <== final answer

Note: 4 * 4 can also be written as 4²

Hope this helps!

A cylinder has a radius of 10 feet and a height of 11.4 feet.

What is the approximate volume of the cylinder?

Answers

Answer:

716.57

Step-by-step explanation:

V=πr2h

V = 2×22/7×10×11.4

= 716.571

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5. The perimeter of a rectangular poultry farm is 38m. If 3 meters are subtracted from its length and 2 meters from its breadth, the length will be two times the breadth. Find the area of the farm?

Answers

By solving a system of equations we will find the dimensions of the rectangle, and with these, we will see that the area is equal to 82.31 m^2

How to find the area of the farm?

For a rectangle of length L and width W, the perimeter is:

P = 2*L + 2*W

In this case, we know that the perimeter is equal to 38m, then:

38m = 2*L + 2*W

We also know that if we subtract 3 meters from the length and 2 meters from the breadth, the length will e 2 times the breadth.

This is written as:

(L - 3m) = 2*(W - 2m)

Then we have a system of equations:

38m = 2*L + 2*W

(L - 3m) = 2*(W - 2m)

To solve this, we isolate one of the variables in one of the equations, I will isolate L on the second equation:

L = 2*(W - 2m) + 3m

Replacing that on the other equation we get:

38m = 2*(2*(W - 2m) + 3m) + 2*W

Now we can solve this for W.

38m = 4*(W - 2m) + 6m + 2*W

38m = 4*W - 2m + 2*W

38m + 2m = 6*W

40m = 6*W

40m/6 = W = 6.67m

Then the length is:

L =  2*(  6.67m - 2m) + 3m = 12.34 m

So the area of the rectangle is:

A = L*W = 12.34m*6.67m = 82.31 m^2

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Susie has a rectangular dining room that has an area of 84. What is the area of the largest circular rug Susie can fit in her dining room?

Answers

Answer:

25[tex]\pi[/tex]

Step-by-step explanation:

[tex]\pi[/tex]r^2 is the formula for a circle (in this case, a circular rug)
and we would set it equal to 84 (since we are trying to get the biggest size possible).
We would isolate r so that r^2 = 84/[tex]\pi[/tex], and r would be around 5.17219.
If we were going by rounding 5 would be the largest radius possible and the radius would be 25[tex]\pi[/tex] or about 78.5398 units.

Answer:

Rounded to one decimal place, the maximum area circular rug that can fit in the dining room is 38.5 square feet.

Please See the attached screenshot for the exact solutions and answer for this question

8
11 Juan is multiplying 68 x 73 using the area model method

One of the partial products is missing.
What number should juan write in the blank space in the model above?
A 420
B 42,000
C 4,200
D 130

Answers

Answer:

C 4,200

Step-by-step explanation:

THE FIRST ANSWER I PUT WAS INCORRECT 70 TIMES 60 = 4,200 because 70 has one 0 and 60 has one 0 use that as a strategy so there's two 0,s when you combine it and its at the end of 4,200 so sice 6 times 7 or 7 times 6 = 42 put the two 0,s at the end and add it to 42 then you get 4,200 or 4200 you don't have to put the comma but it helps let you know 4,000 is part of the thousands and lets you know to seperate it from the hundreds so it's better to add the comma if you want to if you don't want to then it's okay but you might get a answer wrong without a comma so the answer is C 4,200!!!!!!!!!!

Find each difference vertically.
3. (2x ^2 – 2x ^4) — (x4 – x2)

Answers

Answer:

answer: -2x^4 +2x^2-2x

Please help me with this problem!!

Answers

Answer:

ok this is at first hard but during time you should use math genie helps you and has grade levels

Step-by-step explanation:

Write a polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively. What is its degree?

Answers

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The degree of the polynomial will be 5.

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively, can be written as,

[tex](x-0)^2(x+3)^1(x-2)^2\\\\= x^2(x+3)(x^2+4-4x)\\\\=(x^3+3x^2)(x^2+4-4x)\\\\=x^5 +4x^3-4x^4+3x^4+12x^2-12x^3\\\\=x^5 -x^4-8x^3+12x^2\\[/tex]

Hence, the degree of the polynomial will be 5.

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Triangle ABC is situated inside of a green square. The perimeter of the square is 33.6 feet. What is the area of triangle ABC?

Answers

Step-by-step explanation:

solution for the triangle ABC

The doubling time of a population of flies is 8 hours. By what factor does the population increase in 34 ​hours? By what factor does the population increase in 1 week ​?

Answers

Answer:

19.017 in 34 hours2,097,152 in 1 week

Step-by-step explanation:

An exponent is used to signify repeated multiplication. When the population doubles, it is multiplied by 2. The number of times the population has doubled will be an exponent of 2.

a)

In 34 hours, the population will have doubled 34/8 = 4.25 times. The multiplier is 2 with an exponent of 4.25:

 factor = 2^4.25 ≈ 19.027

__

b)

The population will double 24/8 = 3 times each day. After 7 days, the population will have doubled 7×3 = 21 times. The multiplication factor is ...

  factor = 2^21 = 2,097,152

Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. List each zero and its multiplicity

Answers

To Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. The zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

Factorization

q(x)=12x^5+40x^4-32x³

q(x)=4x³ (3x²+10x-8)

q(x)=4x³(3x²+12x-2x-8)

q(x)=4x³ [(3x (x+4)-2 (x+4)]

q(x)=4x³ (3x-2) (x+4)

When:

q(x)=0; x1=0; x2=2/3; x3=-4

Hence:

When:

x=0 the multiplicity is 3

x=2/3 the multiplicity is 1

x=-4 the multiplicity is 1

Therefore the zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

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dding and Subtracting Decimals struction Active Finding an Account Balance Dewan's bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? O $1.08 O $6.84 O $9.16 O $24.34.what is the answer

Answers

Answer: 24.34 is his balance.

Step-by-step explanation:

270$ ask your teacher for your

Spot the difference

Find anything that 3 of the 4 image's have in common, and write why the 4th is different from the other 3​

Answers

A. Is different from the other three
This is because B,C, and D all have exponents while A does not.

Find the value of x.

Answers

Sum of two interior angles=Exterior angle

44°+9x+3=14x+79x+47=14x+747=5x+75x=47-75x=40x=5

Please help and Please write real equation for the answer thank you

Answers

Answer:

  f(x) = (3x -12)/(x² -7x +12)

Step-by-step explanation:

The equation for a rational function can be written from the clues offered by the horizontal and vertical asymptotes, the y-intercept, and any "holes" in the function graph. Here, those clues are ...

horizontal asymptote: y = 0vertical asymptote: x = 3hole: (x, y) = (4, 3)y-intercept: (0, -1)

__

The horizontal asymptote at y=0 tells you the denominator is of higher degree than the numerator. The vertical asymptote at x=3 tells you (x-3) is a factor of the denominator. The hole at x=4 tells you there is a factor of (x-4) in both numerator and denominator.

At this point, the function is tentatively ...

  [tex]f(x)=a\dfrac{x-4}{(x-3)(x-4)}[/tex]

Evaluating this at the y-intercept, x=0, gives ...

  f(0) = -1 = a/(0 -3) = -a/3

  a = 3 . . . . . multiply by -3

Then our rational function, consistent with all of the features of the graph, is ...

  [tex]f(x)=\dfrac{3(x -4)}{(x -3)(x -4)}\\\\\boxed{f(x)=\dfrac{3x-12}{x^2-7x+12}}[/tex]

Write the equation of the line that is parallel to the line y=3x+7 and passes through the
point (-4,-14).

Answers

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -4      y_1= -14  

     m= 3 (parallel means same slope)

an equation in the point-slope form is : y +14 =3(x+4)

The transformation of triangle ABC is an example of what?

Answers

Answer:

The relation between preimage and image

Step-by-step explanation:

ASZPPPP
LAST ONEEE PLEASEE HELPP

Answers

Answer:

Top Left

I sincerely hope this is right and that you get g really good mark ;)

What is the length of LM?

Answers

Let see

KM²=LM×MJ6²=LM×3LM=36/3LM=12

Option B

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