8 x 3² - (14 + 6) = [?]
(Will give brainliest)

If the perimeter of the rectangle is 4646 centimeters and its length is 88 centimeters then its width would be 2235 centimeters

The perimeter of a form in geometry is defined as the entire length of its border. A shape's circumference is calculated by summing the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.

In daily life, people constantly employ the idea of perimeter. For instance, we measure the perimeter of the area to be fenced in or decorated for Christmas to determine how much wire you will need.

We are aware that a regular polygon has equal-length sides.

A regular polygon's perimeter is equal to the product of all of its sides, which is equal to the quantity o sides times the length of a side.

How to solve?

width = 4646 - 2*88 =4470

width of one side = 4470/2 = 2235 centimeters

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Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.

The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:

W = F * d

where:

W is the work done in joules

F is the force in newtons

d is the distance in meters

The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.

The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.

Plugging these values into the equation for work, we get:

W = 102.8 N * 4600 m = 472320 J

The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:

472320 J / 29 kJ/mol = 162.6 mol

To one decimal place, this is 0.23 moles of ATP.

Here are the assumptions that we made in this calculation:

No friction

No mass of the bike

A flat ride with no change in altitude

These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.

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To find the average quarterly loads for the rest of the years, you can use the formula below:

Average Quarterly Load = Total Annual Load  4 For example, let's say the total annual load for Year 1 is 800.

To find the average quarterly loads for Year 1, we would divide 800 by 4 to get an average quarterly load of 200. Then, you can use this average quarterly load to find the seasonal indices for each quarter of each year.To find the seasonal index for a given quarter and year, you would divide the actual quarterly load by the average quarterly load for that year.

For example, let's say the actual load for Quarter 1, Year 1 is 240. To find the seasonal index for this quarter and year, we would divide 240 by 200 to get a seasonal index of 1.2. You would repeat this process for each quarter and year to find the seasonal indices for all quarters and years.

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The resultant answer to the given inequality is x ≤ -5/12 and the graph of the answer is shown.

So, solve the inequality as:

Now, plot x ≤ -5/12 on the graph as follows:

Therefore, the resultant answer to the given inequality is x ≤ -5/12 and the graph of the answer is shown.

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Answer:

the numbers are 13 and 17

Step-by-step explanation:

let the first number be a

let the second number be b

a+b=30.......a=30-b

a-b=4

substitute the first eq into the second one

30-b-b=4

30-2b=4

30-4=2b

26=2b

13=b

a=30-b

a=30-13

a=17

The simplified expression for (f ∘ g)(x) is 2 + x (option d).

To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.

Given:

f(x) = log₃(9x)

g(x) = \(3^x\)

Substituting g(x) into f(x):

(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)

Now, we simplify the expression:

log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)

Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:

log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x

Using the property logₓ\((x^a)\) = a * logₓ(x), we get:

log₃\((3^2)\) + x = 2 * log₃(3) + x

Since logₓ\((x^a)\) = a, where x is the base, we have:

2 * log₃(3) + x = 2 + x

Therefore, (f ∘ g)(x) simplifies to:

(f ∘ g)(x) = 2 + x

So, the correct answer is (d) 2 + x.

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Complete Question:

Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)

(a) 2x

(b) x

(c) \(27^x\)

(d) 2+x

(e) None of these.

Answer:

I think it is D

Step-by-step explanation:

If you divide 6 x 10^-2 by 2 x 10^-8 you get 3x10^-10 and then you make it into a whole number.

Answer:

6x10-2 is 46 times as large as 2x10-8

Step-by-step explanation:

1) Solve for 6x10-2 ( PEMDAS)

6x10=60

60-2=58

2) Solve for 2x10-8 (PEMDAS)

2x10=20

20-8=12

3) Subtract

58-12=46

6x10-2 is 46 times as large

Answer: 108 liters

Step-by-step explanation: There are 86,400 seconds in a 24-hour day. If 25 mL leak every 20 seconds, divide 86,400 by 20 (4,320), then multiply by 25 (108,000). There is 1,000 mL for every liter, so divide 108,000 by 1,000, and you will get 108 liters.

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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Answer:B

Step-by-step explanation:

The zeros of the polynomial function x² + 5x + 6 can be found by solving the equation x² + 5x + 6 = 0. The correct zeros of the polynomial can be determined by factoring or using the quadratic formula.

To find the zeros of the polynomial function x² + 5x + 6, we need to solve the equation x² + 5x + 6 = 0. We can try to factor the quadratic expression or use the quadratic formula to find the roots.

Factoring method:

We are looking for two numbers that multiply to give 6 and add up to 5. By factoring, we find that (x + 2)(x + 3) = 0. Setting each factor equal to zero:

x + 2 = 0, x + 3 = 0

Solving these equations, we find the zeros:

x = -2, x = -3

Therefore, the zeros of the polynomial function x² + 5x + 6 are x = -2 and x = -3. Comparing these zeros to the given options, we can see that the correct answer is c. x = -2, -3.

Using the quadratic formula:

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

For the equation x² + 5x + 6 = 0, we have a = 1, b = 5, and c = 6. Substituting these values into the quadratic formula:

x = (-5 ± √(5² - 4(1)(6))) / (2(1))

= (-5 ± √(25 - 24)) / 2

= (-5 ± √1) / 2

= (-5 ± 1) / 2

Simplifying further, we get the same zeros as before:

x₁ = (-5 + 1) / 2 = -4 / 2 = -2

x₂ = (-5 - 1) / 2 = -6 / 2 = -3

Therefore, using either factoring or the quadratic formula, we find that the zeros of the polynomial function x² + 5x + 6 are x = -2 and x = -3. The correct answer is c. x = -2, -3.

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Answer:

What is the question??

Step-by-step explanation:

Check the picture below.

When a four-digit number is divisible by nine and is written as 3AA1, the digit A stands for 7.

A number is itself divisible by nine if the total of its digits is also nine digits.

Multiples in mathematics are the outcomes of multiplying an integer by a certain number. a multiple of 9 is a number that divides by nine.

By utilizing the aforementioned attribute, we can

3 + A +A +1 = 9, OR 18, OR 27

4 + 2A = 9, OR 18, OR 27

using 18

2A = 18 - 4

2A = 14

A = 7

therefore we can say that the number is  3771

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Answer:

156

Step-by-step explanation:

Answer:

156

Step-by-step explanation:

26 for every 1/6

So we multiply 26 times 6 to get the full minute

Solution to the given differential equation with the provided initial conditions is: y(t) = 15 * exp(3t) - 10 * exp(4t)

To find the values of constants 'a' and 'b' in the given differential equation solution, we can use the initial conditions to form a system of linear equations.

Given solution: y(t) = a * exp(3t) + b * exp(4t)

We have two initial conditions:

1. y(0) = 5

2. y'(0) = 5

Let's start by using the first initial condition, y(0) = 5:

Substituting t = 0 into the solution equation:

y(0) = a * exp(3 * 0) + b * exp(4 * 0)

5 = a * 1 + b * 1

5 = a + b    ---(Equation 1)

Now, let's differentiate the solution equation with respect to t to find y'(t):

y'(t) = 3a * exp(3t) + 4b * exp(4t)

Next, we use the second initial condition, y'(0) = 5:

Substituting t = 0 into the differentiated equation:

y'(0) = 3a * exp(3 * 0) + 4b * exp(4 * 0)

5 = 3a * 1 + 4b * 1

5 = 3a + 4b   ---(Equation 2)

So now we have a system of linear equations:

Equation 1: 5 = a + b

Equation 2: 5 = 3a + 4b

We can solve this system of equations to find the values of 'a' and 'b'.

Subtracting Equation 1 from Equation 2:

(5 - 3a - 4b) - (5 - a - b)

2a + 3b = 0

Now, we can solve this linear equation for 'a' in terms of 'b':

2a = -3b

a = (-3/2)b

Substituting this value of 'a' into Equation 1:

5 = (-3/2)b + b

5 = (-1/2)b

b = -10

Substituting the value of 'b' back into Equation 1:

5 = a + (-10)

5 = a - 10

a = 15

Therefore, the values of 'a' and 'b' are:

a = 15

b = -10

The solution to the given differential equation with the provided initial conditions is:

y(t) = 15 * exp(3t) - 10 * exp(4t)

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The transformation has a horizontal shift right by 1 units and vertical shift upwards by 3 units. The graph is shown below.

What do you mean by transformation of a graph ?

The modification of an existing graph or graphed equation to create a different version of the following graph is known as transformation.

The functions given are :

f(x) = x²

and

g(x) = (x - 1)² + 3

Now , we know that , the horizontal shift depends on the value of h. The horizontal shift is described as:

g(x) = f (x + h)

Then , the graph is shifted to left by h units.

and

g(x) = f (x - h)

Then , the graph is shifted to right by h units.

If we compare f(x) with g(x) , their is a difference of -1 , it meant shift is right by 1 units.

Now , we know that , the vertical shift depends on the value of k. The vertical shift is described as:

g(x) = f(x) + k

Then , the graph is shifted up by k units.

and

g(x) = f(x) - k

Then , the graph is shifted down by k units.

Here , if we compare f(x) with g(x) there is addition of 3 in g(x) , this meant the graph is shifted upward by 3 units.

The graph of the function is attached  below. Here , both of the functions are graphed.

Therefore , the transformation has a horizontal shift right by 1 units and vertical shift upwards by 3 units. The graph is shown below.

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The missing length of the triangle using Pythagoras theorem is; x = 3

Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle. The right angle triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

The formula to find the sides is;

hypotenuse² = opposite + adjacent²

We are given;

Hypotenuse = 5

Opposite = x

adjacent = 4

Thus;

5² = x² + 4²

x² = 5² - 4²

x² = 25 - 16

x = √9

x = 3

We conclude that it is the missing length of the triangle

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Answer:

B) 7 2/3, √3/2, 4/5, -2π, -6.5

Step-by-step explanation:

B) 7 2/3, √3/2, 4/5, -2π, -6.5

Subtract 2x 2 x from 6x 6 x . Divide each term in 4x=2 4 x = 2 by 4 4 and simplify.

Answer:

-22

Step-by-step explanation:

4^5x-4 = 64^2x+12, which is, 4^3(2x+12)
So, 5x-4 = 3(2x + 12)
or 5x - 4 = 6x + 18
x = -22

The expression that represent the perimeter of the rectangle is  20v  - 6w

The perimeter of a rectangle is the sum of the whole side of the rectangle.

Therefore,

perimeter of a rectangle = 2l + 2w

where

Hence,

l = 6v - 6w

w = 4v + 3w

perimeter of a rectangle =  2(6v - 6w) + 2(4v + 3w)

perimeter of a rectangle = 12v - 12w + 8v + 6w

combine like terms

perimeter of a rectangle = 12v + 8v - 12w + 6w

perimeter of a rectangle = 20v  - 6w

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The mean value of the radius (r) at which you would find the electron, given the H atom wave function is 100(r), is 0.

The wave function of an electron in the hydrogen atom, denoted by Ψ, describes the probability distribution of finding the electron at different positions around the nucleus. In this case, the given wave function is 100(r), where r represents the radius.

To calculate the mean value of the radius, we need to evaluate the integral of r multiplied by the absolute square of the wave function, integrated over all possible values of r. However, the wave function 100(r) does not provide a valid description of the hydrogen atom's electron distribution. The wave function should be normalized, meaning that the integral of the absolute square of the wave function over all space should equal 1. In this case, the given wave function lacks normalization.

Since the wave function is not properly normalized, we cannot accurately calculate the mean value of the radius. Without normalization, the probability distribution described by the wave function does not provide meaningful information about the electron's position.

In summary, based on the given wave function, the mean value of the radius cannot be determined without proper normalization of the wave function. A properly normalized wave function is necessary to obtain accurate information about the electron's position.

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Answer:

(a): 26.1

(b): 27.9

Please see below for the steps.

Step-by-step explanation:

(a):

Use points (0,0) and (3, 78.3)

Use slope formula. The slope formula is also used to find average rate of change (just so you know).

y2-y1/x2-x1

78.3-0/3-0=78.3/3=26.1

Answer for (a) is 26.1

(b):

Use points (4, 147.6) and (9, 287.1)

Use slope formula.

y2-y1/x2-x1

287.1-147.6/9-4=139.5/5=27.9

The answer for (b) is 27.9

Hope this helps!

Please mark as brainliest if correct!

Have a great day!

Answer:

P(x) = 35,900 + 2,800(x-1)

Step-by-step explanation:

P(x)

P(1) = $35,900

P(4) = $44,300

Difference in profits

P(4) - P(1)

= P(3)

= $44,300 - $35,900

= $8,400

Rate of change per year = $8,400 / 3

= $2,800 per year

The linear equation

P(x) = 35,900 + 2,800(x-1)

Where

x = number of years

Answer:

Step-by-step explanation:

The mixed number for 3.6 is 3 6/10.

What is a Mixed Fraction?

Improper fractions and mixed numbers have the same value but are written differently. Whole numbers are displayed separately from fractions in mixed numbers. The numerator is larger than the denominator and complete numbers are not displayed separately in improper fractions.

Given:

We have to write 3.6 into a mixed number

So, the decimal 3.6 into a fraction

= 3.6

= 36/10

Then, the division is

                           10 | 36| 3

                                  30

                                 _____

                                    6  

So, the mixed number is 3 6/10.

Answer:

[-4, infinity)

Step-by-step explanation:

The range is all the y values. The minimum is -4, and the maximum is infinity because there are arrows pointing upwards.

Answer: B. statistic

Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.