If h(x) = 2x4 - 4x2 - 2x, then h(3)=

The expression that defines Sn is option (A), Sn = lim n->∞ (1/4)^n is the correct answer.

A sequence is defined as an arrangement of numbers in a particular order.  A series is the cumulative sum of a given sequence of terms. Typically, these terms are real or complex numbers.

For the given situation,

The series is 1/4 + 1/16 + 1/64 + 1/256.

⇒ [tex]\frac{1}{4}+\frac{1}{16} +\frac{1}{64} +\frac{1}{256}[/tex]

⇒ [tex]\frac{1}{4}+\frac{1}{4^{2} } +\frac{1}{4^{3} } +\frac{1}{4^{4} }[/tex]

Thus the sum of this series can be obtained by the expression,

[tex]S_{n}= \lim_{n \to \infty} (\frac{1}{4^{n}})[/tex]

⇒ [tex]S_{n}= \lim_{n \to \infty} (\frac{1}{4})^{n}[/tex]

Hence we can conclude that the expression that defines Sn is option (A), Sn = lim n->∞ (1/4)^n is the correct answer.

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Answer:

(5,3)

Step-by-step explanation:

add the equations to eliminate to x's and get 8y=24

divide both sides by 8 to get y=3

then substitute in -2x+3(3)=-1 to solve for x

so x=5 so the solution is (5,3)

Answer:

[tex]x=5 \\y=3[/tex]

Step-by-step explanation:

[tex]-2x+3y=-1\\2x+5y=25[/tex]

Add these equations to eliminate x:

[tex]8y=24[/tex]

Then, solve [tex]8y=24[/tex] for y:

[tex]8y=24[/tex]

[tex]\frac{8y}{8} =\frac{24}{8}[/tex] (divide both sides by 8)

[tex]y=3[/tex]

Now let's find the value of x:

Substitute 3 for y in [tex]-2x+3y=-1[/tex]

[tex]-2x+(3)(3)=-1[/tex]

[tex]-2x+9=-1[/tex] (simplify both sides of the equation)

[tex]-2x+9+-9=-1+-9[/tex] (add both sides by -9)

[tex]-2x=-10[/tex]

[tex]\frac{-2x}{-2} =\frac{-10}{-2}[/tex]  (divide both sides by -2)

[tex]x=5[/tex]

Therefore, the value of x = 5 and y = 3

Answer:

let the number be x

x²-2x=0

here it is your quadratic equation

Answer:

93 degrees

Step-by-step explanation:

alternate interior angles are congruent so 39+x=132 x=93

Answer:

Step-by-step explanation:

According to Alternate Interior Angles Theorem (in a graph that shows a transversal crossing two parallel lines, the alternate interior angles are congruent), The angle that includes the sum of 39° and x° is congruent to 132°.

So: 39° + x° = 132°, and x = 93

Lower standard deviation for chip length ensures chips are more consistent and roughly the same size, meeting quality standards.

As the quality control manager of a snack food manufacturer, I desire a higher standard deviation when measuring for the length of chips. A higher standard deviation indicates a greater variability in chip lengths.

While it may seem counterintuitive, having a higher standard deviation allows for a range of chip sizes, accommodating different consumer preferences. Some customers may prefer shorter chips, while others may prefer longer ones.

By allowing for some variation in size, the snack food manufacturer can cater to a broader customer base and increase market appeal.

Additionally, a higher standard deviation can be beneficial for marketing purposes, as it creates an impression of natural, handcrafted chips rather than mechanically uniform ones.

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Answer:

A function R x that models the total revenue per game is as follows:

Rx = 87,5000 + 3,750x – 500x^2.

Step-by-step explanation:

Based on the information in the question, we have:

Rx = Total revenue per game

x = Number of $0.25 increases in the price of a hot dog

Average sales of hot dogs = 35,000

Effect of each 25 cent increase in the price on average sales = 35,000 - 2000x

Effect of each 25 cent increase in the price on selling price = 2.5 + 0.25x

Therefore, we have:

Rx = (35,000 - 2000x)(2.5 + 0.25x)

This can be solved further by opening the brackets as follows:

Rx = 87,5000 + 8,750x - 5,000x - 500x^2

Rx = 87,5000 + 3,750x – 500x^2

Therefore, a function R x that models the total revenue per game is Rx = 87,5000 + 3,750x – 500x^2.

Answer:

He's correct its 432

Step-by-step explanation:

Answer:

C) 31.2

Step-by-step explanation:

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hope it helps...

have a great day!

The amount that the person get after he home suffers $500,000 in damages is $20000.

Deductible amount is the amount which is paid by one in the starting of any policy.

The homeowner’s policy has a premium of $150. Thus, the amount paid in a year is,

[tex]150\times12=1800[/tex]

The home suffers $500,000 in damages and the deductible is of $5000. Thus, the amount remain is,

[tex]A=500000-5000\\A=495000[/tex]

The limit of the policy is $300000. Thus, the amount will be remained as,

[tex]A=495000-300000\\A=195000[/tex]

If we include the deductible amount, then,

[tex]A=195000+5000\\A=200000[/tex]

This amount does not include the premium paid by the homeowner. Hence the amount that the person get after he home suffers $500,000 in damages is $20000.

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Answer:

$9.45

Step-by-step explanation:

1 - 0.12 = 0.88

12.60 * 0.88 = 9.45

You save $3.15

9514 1404 393

Answer:

  19. wrong multiplier was used, and used incorrectly; x = -324

  20. wrong multiplier was used, and used incorrectly; y = 5

Step-by-step explanation:

In each case, the equation was multiplied by the coefficient of the variable, instead of divided. In each case, the square of the coefficient was evaluated incorrectly (so the error wasn't noticed).

__

19) As described above.

  (-36)(9) = (x/9)(9)

  -324 = x

__

20) In addition to the errors described above, the variable was changed from y to x.

  15/3 = (3y)/3

  5 = y

Answer:

16

Step-by-step explanation:

Answer:the answer is 16

Step-by-step explanation:

JUST ADD

Answer:

Major Arc

Step-by-step explanation:

A major arc is the larger angle between two points of a circle -- greater than 180 degrees of rotation, whereas minor arcs are the smaller of the two possible arcs, arcs that are less than 180 degrees.

Answer:

1

Step-by-step explanation:

Multiply all(3) given lengths to get your volume.

Answer: 1 ft3 I think is the answer

Step-by-step explanation: :)

Answer:

24318

Step-by-step explanation:

That's all what you were asking for?

Answer:

112.5

Step-by-step explanation:

He should expect 112.5 hits if he bats 450 times during the season.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

A baseball player's batting average is 0.250, which implies he hits 25% of the time he bats.

Here,

batting average = 0.250

number of times batting = 450

According to the given situation, the required solution would be as follows:

The number of hits = batting average × number of times batting

The number of hits = 0.250 × 450

Apply the multiplication operation, and we get

The number of hits = 112.5

Therefore, he should expect 112.5 hits to get.

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Answer:

The third equation, [tex]7\frac{1}{2} +m = 4\frac{2}{3}[/tex].

Step-by-step explanation:

In this question, we have to solve the equation for each of the options and after doing so we will see that the only option that will have m equal a positive number is the third option. Here is how we solve that equation:

[tex]7\frac{1}{2} +m = 4\frac{2}{3} \\m = 4\frac{2}{3} - 7\frac{1}{2}\\m = -2\frac{5}{6}[/tex]  

Answer:

1/4

Step-by-step explanation:

5/20= 1/4

Answer:

1/5th of them are dogs

Step-by-step explanation:

5+20= 25

5/25 can be reduced to 1/5

9514 1404 393

Answer:

  2) 198°

  4) 99°

  6) 90°

Step-by-step explanation:

The relevant relations are ...

__

2) Arc WXY = 2×angle WDY = 2(99°) = 198°

__

4) Arc CLE is 2×angle CDE = 2(97°) = 194°

  Arc DE = 360° -72° -194° = 94°

  angle C = (arc DE +arc EL)/2 = (94° +104°)/2 = 99°

__

6) angle C = (360° -arc EC -arc CD)/2 = (360° -71° -109°)/2 = 90°

Answer:

2.

Given:

m arc WXY=2×99°=198°[central angle is equal to the twice of its inscribed angle]

4.Arc CLE =2x< CDE = 2×97° = 194°[central angle is equal to the twice of its inscribed angle]

again

Arc DE =360° -72° -194° = 94°[from complete turn]

and

angle C =½ (arc DE +arc EL) =½ (94° +104°) = 99°

6) angle C =½ (360° -arc EC -arc CD)

=½ (360° -71° -109°)= 90°

Answer:

1) A = 27 square units, P = 24 units; 2) 276 mm; 3) A = 8, B = 4, C = 3, D = 5, 108 square feet; 4) 5.

Step-by-step explanation:

1) The sides of the rectangle are 9, 9, 3, and 3.

2) 40 + 40 + 70 + 70 + 28 + 28

3) 32 + 6 + 6 + 24 + 40 = 108

4) 24 + 24 + 20 + 20 + 30 + 30 = 148

740/148 = 5

Answer:

Population of fish in

Answer:

A

Step-by-step explanation:

The requried simplified value of x in the intersection of two lines is 6.

Opposite angles are a pair of angles that are formed when two lines intersect. The two angles are located on opposite sides of the point where the two lines intersect.

Opposite angles are also called vertical angles, and they have equal measures. This means that if we know the measure of one opposite angle, we can find the measure of the other opposite angle by setting them equal to each other.

Here,
When two lines intersect, opposite angles are equal. So, we can set the two opposite angles equal to each other and solve for x.

Given that the opposite angles are 3x + 2 and 20 degrees, we have:

3x + 2 = 20

Subtracting 2 from both sides, we get:

3x = 18

Dividing both sides by 3, we get:

x = 6

Therefore, the value of x is 6.

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The only graph that shows a proper vertical reflection is the one attached. (It also correctly shows the horizontal compression.)

Answer:

It's Y

Step-by-step explanation:

I got it right. Hope this helps.