b(n)=−1(2) ^n−1
What is the 5th term in the sequence?

Answer:

6/2

Step-by-step explanation:

Answer:

An = 6*2^(n-1)

Step-by-step explanation:

Final answer:

As the independent variable x grows very large, the quadratic function y = 4x^2 will outpace the linear functions y = 7x, y = 5x, and y = 34, hence it will become the largest and remain so.

Explanation:

The student is asking about the behavior of different linear functions and a quadratic function as the independent variable x becomes very large. When examining the functions given, we notice that three of them, y = 7x, y = 5x and y - 4x are linear, while the fourth, given the context should likely be a quadratic function y = 4x2, although that wasn't presented correctly in the question. As x grows, the function with the highest degree will become the largest. In this case, the quadratic function y = 4x2, which grows at a rate proportional to the square of x, will outpace the linear functions, whose growth is only directly proportional to x. Thus, as x becomes very large, the quadratic function “y = 4x2” becomes the largest and remains so.

Answer:

37 4/5 miles per hour

Step-by-step explanation:

Take the miles and divide by the time

25 1/5   ÷ 2/3

Change the mixed number to an improper fraction

(5*25 +1)/5 ÷ 2/3

126/5 ÷ 2/3

Copy dot flip

126/5 *3/2

378/10

Changing to mixed number

10 goes into 378 37 times with 8 left over

37 8/10 which simplifies to 37 4/5

37 4/5 miles per hour

Answer: -42+6i

Step-by-step explanation:

1. Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.

−18−18i+24i−24

2. Collect like terms.

(−18−24)+(−18i+24i)

3. Simplify.

−42+6i

Answer:

B

Step-by-step explanation:

7mn³|7m²n³ ---14mn^5

       | m---2n²

LCM=7mn³×m×2n²

=14m²n^5

or LCM of 7,14 =14

Highest power of m=2

Highest power of n=5

LCM=14m²n^5

Ok, first let's find how much a nickle is worth, a nickle is worth $0.05.

0.05 x 27 = $1.35

0.05 x 32 = $1.60

0.05 x 39 = $1.95

0.05 x 47 ≠ $2.45 (It's equal to $2.35)

I hope this helps!

Answer:

(0,-7)

Step-by-step explanation:

y-intercepts are when x=0

Answer:

What did Maria have for lunch today?

Step-by-step explanation:

For each of the other questions we can collect data

For Maria it is one piece of information

Answer:

Question 3: What did Maria have for lunch today?

Step-by-step explanation:

Statistical questions are to analyse a population based on a sample. Maria is one individual, not a population

Answer:

sorry for this just wait im about to slove it

Step-by-step explanation:

found it.it was 23

Answer: 23$

Step-by-step explanation:

If half of Sara's remaining savings was 9$, her remaining savings after buying the book would be 18$. 18$+5$=23$. Good luck and have a nice day!

Answer:

the answer should be 2

Step-by-step explanation:

the absolute value of something cannot be negative, the eight automatically becomes +8 and the difference between 8 and 6 is 2 (8-6=2)

Answer:

The students can be arranged in rows of 18 that is 4 rows of boys and 5 rows of girls

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Find f(2)

[tex]f(p) = 3p - 2[/tex]

[tex]f(2) = 3(2) - 2[/tex]

[tex]f(2) = 6 - 2[/tex]

[tex]f(2) = 4[/tex]

Answer:  Option C, 4

Answer:

C. 4

Step-by-step explanation:

f(p) = 3p - 2

Is a function with:

Input: p

Output: 3p - 2

p = 2

f(2) = 3(2) - 2 = 6 - 2 = 4

Answer:

is it 54?

Explanation:

there are about 54 squares which could also be called units

Answer:

y = [tex]\frac{x^2}{20}[/tex]

The focus of the solar oven's reflector is (0,a)

Step-by-step explanation:

The missing figure( i.e diagram) from the question is attached below:

Now ; given that :

The focus of the sun's rays is at a point L = 5 inches away from the vertex of the reflector. Also the distance of the parabolic curve be a= L = 5

So the equation for a cross section of the oven's reflector with its focus on the

positive y axis and its vertex at the origin is expressed as:

x² = 4 L y

x² = 4 (5) y

x² = 20 y

y = [tex]\frac{x^2}{20}[/tex]

The focus of the solar oven's reflector is (0,a)

The length of the diagonal of the rectangular cardboard Hermina cut

is 10√5''.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, Hermina cut a 10" by 20" piece of cardboard down the diagonal.

So, The diagonal can be thought of as the hypotenuse of a right-angle triangle with a base 20'' and a height of 10''.

Therefore,

Hypotenuse² = Base² + Height².

Hypotenuse² = 20² + 10².

Hypotenuse² = 400 + 100.

Hypotenuse² = 500.

Hypotenuse = √(500).

Hypotenuse = 10√5''.

So, The length of the diagonal is 10√5''.

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The length of the cut (c) is 5 times the square root of 20 inches, which is approximately 22.36 inches when rounded to two decimal places.

When Hermina cuts a 10" by 20" piece of cardboard down the diagonal, she essentially creates two right triangles. The diagonal of a rectangle splits it into two congruent right triangles. This diagonal acts as the hypotenuse of each right triangle.

In a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse (c) if we know the lengths of the other two sides (a and b).

The Pythagorean theorem states: c^2 = a^2 + b^2, where c is the length of the hypotenuse.

In this case, one side (a) is 10 inches long, and the other side (b) is 20 inches long. Plugging these values into the formula:

c^2 = 10^2 + 20^2

c^2 = 100 + 400

c^2 = 500

Now, to find c, we take the square root of both sides to isolate c:

c = √500

To simplify the square root:

c = √(25 * 20)

c = 5√20

In summary, Hermina's diagonal cut creates two right triangles, and the length of the cut (c) can be found using the Pythagorean theorem. The calculated length is approximately 22.36 inches.

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Answer:

20 (Assuming even distribution of letters)

Step-by-step explanation:

There are 26 letters in the alphabet.

Vowels consist of 5 of these letters.

The percentage of total letters that are vowels is:

[tex]\frac{5}{26} *100= 19.231[/tex] (3dp)

As we have total 105 letters, and we know the percentage of vowels to letters - we can work out how many of these letters we expect to be vowels by finding a percentage of the total number.

19% of 105 is:

[tex]105*0.19=19.95[/tex]

Which is approximately equal to 20

Answer:

4/25 would be the answer as;

-1/2 + 1/3 = -0.16666666666

Step-by-step explanation:

‑1/2+(3/4•4/9) =

-1/2 + (1/3) = -4/25

-0.16

However true answer is  16666666666/100000000000. = 0.1666666666

The rule is when fractions reoccur, we show closest and -4/25 is closer than -1/6

Answer:

false

Step-by-step explanation:

on eng 2020

The correct option is " Option 2" i.e., False.

It is given that somebody is trying to download an information without asking a lab instructor.

We have to tell that whether it is a right thing or not ?

What do you mean by moral values ?

Moral values are defined as the guidelines that assist a person in deciding between right and wrong.

It is not a right thing to use any private thing without the permission of the owner.

Hence it is also not okay to download information without asking a lab instructor even if you are using it for your online classes.

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Answer:

Proved

Step-by-step explanation:

Given: EC || AC, DB || AC, ∠A = ∠F

Prove: ΔMDF ∼ ΔNCA

Solution

See diagram attached to the solution to better understand the following workings.

Redrawing ΔMDF or rotating to be facing the same direction.

EC is parallel to AC

DB parallel to AC

Using similar triangle theorem:

If ΔMDF ∼ ΔNCA

Ratio of Corresponding sides would be equal

(adjacent of ΔMDF)/(adjacent of ΔNCA) = (Opposite of ΔMDF)/(opposite of ΔNCA) = (hypotenuse of ΔMDF)/(hypotenuse of ΔNCA)

DF/ CA = MD/NC = FM/AN

∠A = ∠F

∠M = ∠N

∠D = ∠C

Since the ratio of Corresponding sides and angle are equal, ΔMDF is similar to ΔNCA.

ΔMDF ∼ ΔNCA

Statement:

1. line EC is perpendicular to line AC, line is perpendicular to DB line AC, ∠A = ∠F

2. ∠F = ∠A

3. ∠1 =∠2

4. ΔMDF ∼ ΔNCA

Reason:

1. Given

2. Given

3. Alternate interior angles are equal

4. AA

1. T1: Translate ABCDE.

2. R1: Rotate the translated polygon.

3. S1: Scale the rotated polygon.

4. F1: Reflect the scaled polygon if needed.

To determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E', you can break down the process into individual steps. Here, I'll describe each transformation step:

1. Translation:

  Translate polygon ABCDE to align its center of mass with the center of mass of polygon A'B'C'D'E'. This ensures that the polygons are roughly in the same position. Let's denote this transformation as "T1."

2. Rotation:

  Rotate the translated polygon so that one of its sides aligns with a side of polygon A'B'C'D'E'. You can use the center of mass as the pivot point for rotation. Denote this transformation as "R1."

3. Scaling:

  Scale the rotated polygon proportionally to match the size of polygon A'B'C'D'E'. This will make sure that the two polygons have the same size. Denote this transformation as "S1."

4. Reflection:

  Reflect the scaled polygon if needed to match the orientation of polygon A'B'C'D'E'. This step may not always be necessary, depending on the orientation of the two polygons. Denote this transformation as "F1" (for reflection).

So, the series of transformations can be written as follows:

1. T1: Translate ABCDE.

2. R1: Rotate the translated polygon.

3. S1: Scale the rotated polygon.

4. F1: Reflect the scaled polygon if needed.

These transformations will map polygon ABCDE onto polygon A'B'C'D'E' while preserving their size and shape.

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Answer:

$5,674.30

Step-by-step explanation:

Use the Compound Amount formula:

A = P(1 + r/n)^(n*t), where r = APR as a decimal fraction = 0.1499

and n = 12 (compounded monthly).

Then A = $2,000(1 + 0.1499/12) )^(7*12)

             =  $2,000(1 +  0.0125)^84

              = $2,000(1.0125)^84 = $2,000(2.837) = $5,674.30

Answer:

Each postcard cost $0.7.

Step-by-step explanation:

In this problem we have two variables, the price of the postcard and the price of the stamp, since the price for the pain is known. We also have the total cost of the purchase that is $14.1. So we can create an equation as shown:

12*postcards + 12*stamps + pen = 14.1

This represents the total amount spent by Claudia, but we know that each pen costs $1.5, therefore:

12*postcards + 12*stamps + 1.5 = 14.1

12*postcards + 12*stamps = 14.1 - 1.5

12*postcards + 12*stamps = 12.6

We also know that the postcards cost twice as much as the stamps, so we have:

postcards = 2*stamps

Using this info we can solve for stams as shown below:

12*(2*stamps) + 12*stamps = 12.6

24*stamps + 12*stamps = 12.6

36*stamps = 12.6

stamps = 12.6/36

stamps = 0.35

postcards = 2*stamps = 2*0.35 = 0.7

Each postcard cost $0.7.

Answer:

the cost of a post card is $0.7

Step-by-step explanation:

Given

Number of postcard = 12

Number of stamp = 12

Number of pen = 1

Cost of a pen = $1.5

Required

Cost of each postcard..

Let P represent postcards, S represent stamps,Sp represented Pen.

Since there's a total of 12 postcard and 12 staffs, we have:

12P + 12S + 1.50 = $14.10

From the question, we have that the postcards cost twice as much as the stamps.

So, P = 2S.

Substitute 2S for P

12 * 2S+ 12S + 1.5 = 14.10

24S + 12S + 1.5. = 14.10

36S + 1.5 = 14.10

Collect like terms

36S = 14.10 - 1.5

36S = 12.6

Divide through by 36

S = 0.35

Recall that P = 2S.

So, p = 2 * 0.35

P = 0.7

Hence, the cost of a post card is $0.7

Answer:

The surface area of the sphere is about [tex]97,264.64 yd^{2}[/tex]

Step-by-step explanation:

Answer:

76,415.04

Step-by-step explanation:

Answer:

i predict the 150 will have defects

Step-by-step explanation:

you do 280 divided by 4 which gives you 70

then 10,500 divided by 70 which gives you

There is a probability that 150 total autos will have defects if 10,500 vehicles are inspected this month.

A chance that something might exist, happen, or be true: the state or fact of being possible.

Given, A worker at an automobile assembly plant checks new cars for defects. Of the first 280 cars he checks, 4 have defects.

Out of 280 cars defected = 4

out of 10500 cars defected = (4* 10500) / 280

out of 10500 cars defected = 150

therefore, If 10,500 cars will be checked this month there is a possibility of getting a total number of cars that will have defects of 150.

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Answer:

They look like they are 90° angles

Step-by-step explanation:

(What are the options?)

Answer:2

Step-by-step explanation:

Answer:

2a^2+ 9ab+ (-7b^2)

Step by Step Explanation

Hope this helps!! Have a great day!!   : )

The simplified expression of [tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2)[/tex] is [tex]2a^2+ 9ab - 7b^2[/tex].

The expression is given as:

[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2)[/tex]

Remove brackets

[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 5a^2 + 4ab - 3b^2 +5ab - 4b^2 - 3a^2[/tex]

Collect like terms

[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 5a^2 - 3a^2+ 4ab +5ab - 3b^2 - 4b^2[/tex]

Evaluate like terms

[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 2a^2+ 9ab - 7b^2[/tex]

The equation cannot be further simplified.

Hence, the simplified expression is [tex]2a^2+ 9ab - 7b^2[/tex]

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