Select the correct answer.What is the approximate surface area of an AA battery?49.5 mm14 mmA. 5,583 mm²B. 2,485 mm²C. 2,176 mm²D. 1,242 mm²

Answer:

20 different strings

Step-by-step explanation:

Let the lines in the alphabets be the strings. So, each alphabet has many strings. Counting them would make them 20 strings.

The cost of the computer if the sales tax is 6% is  924.96 dollars.

You bought a new laptop and paid an initial payment of $150. You will make 12 payments of $69.50.

The amount the computer cost if the your state charge 6% sales tax can be calculated as follows;

Install mental payment = 12 × 69.50

Install mental payment = 834 dollars

You already made payment of 150 dollars.

Therefore,

total payment including sale tax = 150 + 834

total payment including sale tax = 984 dollars

Sales tax = 6% of 984

Sales tax =  6 / 100 × 984

Sales tax = 5904 / 100

Sales tax = 59.04 dollars

Therefore,

cost of the computer = 984 - 59.04

cost of the computer = 924.96 dollars

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Answer:

21

Step-by-step explanation:

I hope this helps!

ANSWER

The length of the crater in yards is 312.1 yards

EXPLANATION

Given that

The depth of the crater is 11, 234.35 inches

Follow the steps below to find the depth of the crater in yard

Let x represents the length of the crater in yard

Therefore, the length of the crater in yards is 312.1 yards

(a) Amount of data entered

(b) R

(c) Average temperature

Answer:

2.2

Step-by-step explanation:

(1.85 x 2) - 1.50

...............

Answer:

73

Step-by-step explanation:

Answer:

Probability-Between    .8574 = 85.74%

Step-by-step explanation:

Z1=-2.14 Z2=1.14

*x-1 35

*x-2  58

*µ 50

*σ 7

Answer: x = -3/2 , x = -1 1/2 , x = -1.5

Step-by-step explanation:

6/-4.5 = 8/4x

first determine the defined range --> x ≠ 0

cancel out the common factor 4 --> 6/-4.5 = 2/x

the convert the decimal into a fraction --> 6/-9/2 = 2/x

now use -a/b = a/-b = -a/b to rewrite the fraction --> 6/-9/2 = 2/x

then simplify the complex fraction --> -4/3 = 2/x

simplify the equation using cross-multiplication --> -4x=6

divide both side of the equation by -4 --> x = -3/2 , x ≠ 0

lastly, check if the solution is in the defined range --> x = -3/2

solution : x = -3/2

Alternative form: x = -1 1/2 , x = -1.5 (simplified)

The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)

To determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:

\(80/4^{x}\)

This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.

Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.

\(80/x^{4}\)

This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.

Therefore, the expression that is option d.

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The equation of remaining chocolate C  in terms of t is C = 30 - 3t.

A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.

Given that,

Initial number of chocolates in box = 30

Also given that after 8 nights, number of remaining chocolates = 6

Implies that,

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written as

C = 30 - 3t.

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The simple formula or rule that generates the terms of an integer sequence that begins with the given list is given below.

Sequence is the order in which elements, such as numbers, letters, or symbols, follow one another in a specific order. It is a fundamental concept in mathematics and computer science, and is used in many other areas including music, language, and art. In mathematics, it is often used to describe patterns or to represent numerical values. In computer science, it is used to represent data structures, such as lists and arrays.
a. The sequence can be expressed as 3x2^n, where n is the position of the number in the sequence. The next three terms are 127, 162, and 201.

b. The sequence can be expressed as 4n+3, where n is the position of the number in the sequence. The next three terms are 47, 51, and 55.

c. The sequence can be expressed as 2^n+n-1, where n is the position of the number in the sequence. The next three terms are 1111, 10000, and 10011.

d. The sequence can be expressed as the number of times the previous value is repeated, starting with 1. The next three terms are 5, 5, and 8.

e. The sequence can be expressed as 4x3^n, where n is the position of the number in the sequence. The next three terms are 5906, 17718, and 53154.

f. The sequence can be expressed as (n+1)!+(n-1)!+2, where n is the position of the number in the sequence. The next three terms are 27027025, 94594500, and 34459425.

g. The sequence can be expressed as the number of times the previous number is repeated, starting with 1. The next three terms are 0, 0, and 1.

h. The sequence can be expressed as 4^n, where n is the position of the number in the sequence. The next three terms are 4294967296, 17179869184, and 68719476736.

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Complete questions as follows-
For each of these lists of integers, provide a simple formula or rule that generates the terms of an integer sequence that begins with the given list. Assuming that your formula or rule is correct, determine the next three terms of the sequence.
a. 3, 6, 11, 18, 27, 38, 51, 66, 83, 102, . . .
b. 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, . . .
c. 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, . . .
d. 1, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, . . .
e. 0, 2, 8, 26, 80,242,728,2186,6560,19682, . . .
f. 1, 3, 15, 105, 945, 10395, 135135, 2027025, 34459425, . . .
g. 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, . . .
h. 2, 4, 16, 256, 65536, 4294967296, . . .

Step-by-step explanation:

3)

\(7billion = 5 {e}^{15r} \\ 1.4billion = {e}^{15r} \\ ln(1.4 \: billion) = 15r \\ 21.0597 = 15r \\ r = 1.404\)

\(4) \\ t = 0 \: y= 200 \\200 = a {e}^{0} \\ a = 200 \\ 800 = 200 {e}^{8k} \\ 4 = {e}^{8k} \\ ln(4) = 8k \\ k = 0.1733\)

Answer:

6

Step-by-step explanation:

I Just answered the question on my test

Answer:

78.5

Step-by-step explanation:

The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

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Answer:

B) 0.9072

Step-by-step explanation:

The formula length × width × height is useful to find out the volume of the solid so option (B) will be correct.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of cuboid = length × height × width.

The volume of the cube = side³.

The volume of a cuboid is given by

⇒ Base area × height

⇒ (length × width) × height

⇒ length × width × height

Since cuboid is a solid because it doesn't change shape and size.

Hence "The formula length × width × height is useful to find out the volume of the solid".

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Answer:

\(\frac{x+4}{8x+8}\)

Answer: 1/(x+2)

Step-by-step explanation:

\(\frac{x+4}{x^2+6x+8}\\\)

\(\frac{x+4}{(x+2)(x+4)}\)

the x+4 cancel each other so we are left with 1/(x+2)

if the main question was how to foil the denominator x2 + 6x + 8, i can quickly explain that.

x2 + 6x + 8

a2 + bx + c

first step is to multiply the first variable with that last or a * c which in this case would give 1 * 8 = 8

the next step would be to look at the middle number which is b, in our case 6.

so then you look for two number that can multiply to to give 8 as well as add up to 6. With easy guessing one will come up with 4 and 2.

with this values you can impute them directly into the equation as

x^2 +4x +2x+ 8

split the equation then factor

(x^2 +4x) (2x+ 8)

x(x+4) 2(x+4) note that the factored equation must always be the same in the bracket. If they are not the same then you have made a mistake somewhere across the line.

with the results giving (x+2)(x+4)

Using the binomial distribution, the mean and the standard deviation of the amounts are given as follows:

The binomial distribution gives the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The mean is given by the following rule:

E(x) = np.

The standard deviation is given by the following rule:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

In the context of this problem, the parameters are found as follows:

Hence the mean and the standard deviation are, respectively, given by:

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The triangles ABC and DBE are similar by the SAS similarity theorem

The measure of the side lengths AC is 16 units

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and DBE

These triangles have the following measures

This means that the triangles are similar by the SAS similarity theorem

Using the SAS similarity theorem, we have the following equation

(x + 1)/12 = (x + 5)/15

Cross multiply the equation

15x + 15 = 12x + 60

So, we have

3x = 45

Divide by 3

x = 15

This means that

x + 1 = 15 + 1 = 16

x + 5 = 15 + 5 = 20

Hence, the measure of the side lengths are 16 and 20 units

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Answer:

-10/3, -2, 2/7

Step-by-step explanation:

Answer:

$519.96

Step-by-step explanation:

$12.38 × 42= $519.96

Answer:

Step-by-step explanation:

The formula of a slope:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

We have

\((-3;\ -8)\to x_1=-3;\ y_1=-8\\(4;\ 6)\to x_2=4;\ y_2=6\)

Substitute:

\(m=\dfrac{6-(-8)}{4-(-3)}=\dfrac{6+8}{4+3}=\dfrac{14}{7}=2\)

The formula for the slope m of the line that passes through two points \((x_1, y_1)\) and \((x_2, y_2)\) is the following:

\(m=\dfrac{y_1-y_2}{x_1-x_2}\)

We have points (4,6) and (-3,-8). Let's plug these values into the formula for slope:

\(m=\dfrac{6-(-8)}{4-(-3)}\)

\(=\dfrac{14}{7}=2\)

The slope of the line passing through the two points is 2. Let me know if you need any clarifications, thanks!

Answer:

Step-by-step explanation:

First, you could factor 2 out of the whole thing.  The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)

Since you cannot make a fraction of a round trip, you will need to make 5 round trips (back and forth) between Seattle and Miami to earn a free flight.

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Each round trip between Seattle and Miami covers a distance of 2 x 2,724 = 5,448 miles (round-trip distance). To accumulate 25,000 miles, you need to make 25,000 / 5,448 = 4.59 round trips.

Since you cannot make a fraction of a round trip, you will need to make 5 round trips (back and forth) between Seattle and Miami to earn a free flight.

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