Rewrite this statement with one pair of brackets () to make it correct. 6 x 2 + 5 = 42
NEED ANSWER ASAP​

Answer:

3⁷

Step-by-step explanation:

see in this question we have to use the laws of exponents

same base different power law

so first we will solve multiplication part so that answer is 3⁹(because 3⁵+⁴)

then division part which is 3⁹÷3²= 3⁷( because 3⁹‐²)

hope you understood

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Based on the given conditions, we want to find the unique function f(x) that satisfies f''(x) = e^(3x), f(0) = 5, and f'(0) = 2.

First, let's integrate f''(x) = e^(3x) with respect to x to find f'(x):

f'(x) = ∫e^(3x) dx = (1/3)e^(3x) + C₁

Now, we know that f'(0) = 2, so let's find the constant C₁:

2 = (1/3)e^(3*0) + C₁ => C₁ = 2 - (1/3)

Now, let's integrate f'(x) again to find f(x):

f(x) = ∫((1/3)e^(3x) + 2 - (1/3)) dx = (1/9)e^(3x) + 2x - (1/3)x + C₂

We also know that f(0) = 5, so let's find the constant C₂:

5 = (1/9)e^(3*0) + 2*0 - (1/3)*0 + C₂ => C₂ = 5 - (1/9)

Finally, we have the unique function f(x):

f(x) = (1/9)e^(3x) + 2x - (1/3)x + 5 - (1/9)

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The selling price per unit under the variable cost method is $70.25.

To calculate the selling price per unit, we need to consider the total variable cost and the desired profit. The total variable cost per unit is the sum of direct materials, direct labor, variable overhead, and variable selling, general, and administrative costs, which amounts to $50.50 ($17.50 + $11.00 + $12.00 + $9.50). The desired profit is $65.00.

To determine the selling price per unit, we add the total variable cost per unit to the desired profit and divide by the expected number of units produced and sold (20,000). Therefore, the selling price per unit is ($50.50 + $65.00) / 20,000 = $70.25.


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Answer:

answer: 32

Step-by-step explanation:

2+5*6

=32

Answer:

30 yards of string will remain unused

Step-by-step explanation:

Ok, there are a lot of conversions going on here.

1 yard = 3 feet,

so 50 yards • 3ft per yard = 150 feet of string on the spool

1 foot = 12 inches,

so 150 feet • 12in per foot = 1800 inches of string on the spool

There are 24 students and they each get 30 inches, multiply 24 • 30 to see how much string is used:

24 • 30 = 720 inches of string used

Find how many inches of string is left by subtracting what is used from the original amount:

1800 - 720 = 1080 inches of spool left

To make this faster, instead of dividing by 12 inches per foot and then dividing by 3 feet per yard, I'm just dividing by 36 inches per yard.

1080 ÷ 36 = 30 yards of string remaining

There are 30 yards of the string that will be leftover.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been given that Trisha gives 30 inches of string to each student.

∵ 1 yard = 3 feet,

∴ 50 yards = 150 feet of string on the spool

∵ 1 foot = 12 inches,

∴ 150 feet = 1800 inches of string on the spool

There are 24 students and they each get 30 inches,

So used inches of string :

⇒ 24×30 = 720

Now subtract the used string from the original amount:

⇒ 1800 - 720 = 1080 inches of spool left

So yards of string remaining = 1080/36 = 30.

Hence, there are 30 yards of the string that will be leftover.

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Answer:

true and it also depends on what question it is

Step-by-step explanation:

because 7% = 0.07 when doing a mathematical question it will help you a lot if you turn 7% into a decimal 0.07 and it will be more easier than doing it as a percentage.

The equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

If we assume that the growth rate of the world population was constant from 1997 to 2017, then we can use the following equation:

Population in 2017 = Population in 1997 × (1 + r)²⁰

where r is the annual growth rate, and the exponent 20 represents the number of years between 1997 and 2017.

We can rewrite this equation to solve for r:

(7.53 ) = (5.88 ) × (1 + r)²⁰

Divide both sides by (5.88 ):

(7.53 ) / (5.88 ) = (1 + r)²⁰

Take the 20th root of both sides:

\((7.53 / 5.88 )^{(1/20)} = 1 + r\)

Subtract 1 from both sides:

\(r = (7.53 / 5.88 )^{(1/20)} - 1\)

Therefore, the equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

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The point prevalence of brilliance at the end of Week 1 is 0.08 or 8%.

The point prevalence of brilliance at the end of Week 2 is 0.17 or 17%.

The point prevalence of brilliance at the end of Week 3 is 0.33 or 33%.

Using person-weeks as denominator, the incidence of brilliance over the course of the 10-week course is 0.017 or 1.7%

In epidemiology context, brilliance can be calculated through calculating point prevalence, cumulative incidence, and incidence rate. The provided data table can be used to determine the point prevalence, incidence, and incidence rate of brilliance among PHE 450 students. So, the calculations of point prevalence, cumulative incidence, and incidence rate based on the provided data are as follows:

The point prevalence of brilliance at the end of Week 1 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #8 was the only existing case of brilliance at the beginning of Week 1, so the point prevalence of brilliance at the end of Week 1 is; Point prevalence = 1 ÷ 12 = 0.08 or 8%.

The point prevalence of brilliance at the end of Week 2 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #3 and Student #8 were existing cases of brilliance at the beginning of Week 2, so the point prevalence of brilliance at the end of Week 2 is; Point prevalence = 2 ÷ 12 = 0.17 or 17%.

The point prevalence of brilliance at the end of Week 3 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #3, #4, #6, and #8 were existing cases of brilliance at the beginning of Week 3, so the point prevalence of brilliance at the end of Week 3 is; Point prevalence = 4 ÷ 12 = 0.33 or 33%.

The incidence of brilliance can be calculated by the following formula; Incidence = Total number of new cases ÷ Total person-weeks of observation

Student #5 and Student #7 developed brilliance during the 10-week course, so the incidence of brilliance over the course of the 10-week course is; Incidence = 2 ÷ 120 = 0.017 or 1.7%.

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The radius of the base of the cone is approximately 12.65 feet if The cone is formed from 3,200 ft of gravel.

Height of cone =  24 feet

The volume of the cone = \(3,200 ft^3\)

To find the volume of the cone, the formula used here is:

V =π* \(r^2h\)

Here, the values of V and H are known terms. we need to calculate the radius r of the cone.

π = 3.14 constant value

Substituting the values in the above equation, we get:

\(3,200 = (1/3)^2*(24)*\) π

\(r^2\)= 3,200 / (8π)

\(r^2\) = 400 / π

r = 12.65

Therefore, we can conclude that the radius of the base of the cone is  12.65 feet.

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In light of the cyclist crashes, the likelihood of it being raining is 16/33, or roughly 0.485.

It is predicated on the likelihood that something will occur. The fundamental underpinning of theoretical probability is the justification for probability. For instance, the theoretical chance of receiving a head while tossing a coin is ½. If it rains, let R stand for that, and if the cyclist crashes, let C stand for that. We're looking for P(R|C), or the likelihood that it will rain given the crashes involving cyclists. The Bayes theorem can be used to resolve this issue:

P(R|C) = P(C|R) × P(R) / P(C)

Where P(R) is the likelihood of rain, P(C) is the likelihood that the cyclist will crash regardless of the weather, and P(C|R) is the likelihood that the cyclist will crash given that it is raining.

According to the problem statement, we know that:

P(C|R) = 4/5 (the probability of crashing given that it's raining)

P(C|not R) = 1/10 (the probability of crashing given that it's not raining)

P(R) = 1/4 (the probability of rain)

We may use the rule of total probability to determine P(C):

P(C) = P(C|R) × P(R) + P(C|not R) × P(not R)

where P(not R) = 1 - P(R) = 3/4.

When we change the values, we obtain:

P(C) = (4/5) × (1/4) + (1/10) × (3/4) = 11/40

We can now enter each value into Bayes' theorem as follows:

P(R|C) = (4/5) × (1/4) / (11/40) = 16/33

As a result, there is a 16/33, or roughly 0.485, chance that it had been raining when the cyclists crashed.

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Answer:

true

Step-by-step explanation:

\( \sqrt{25} = ±5\)

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

true

Step-by-step explanation:

hope this helps have an amazing day!

Answer:

T

Step-by-step explanation:

hope it help

Answer:

y=60

Step-by-step explanation:

\(15=\frac{y}{-4} \\(15)*-4=(\frac{y}{-4} )*-4\\-240=y\)

Acceleration is 2.......

We are given the time taken to travel a certain as an estimated 4 hours 55 minutes. Also, the average speed for the journey is given as 51 miles per hour. To calculate the distance, the formula given is;

Note that the time is given as 4 hours plus a fraction of an hour, that is 55 minutes. To express this as a decimal we take the value of 55 minutes as a fraction of one hour, that is;

The time taken therefore can be expressed as;

The distance covered therefore would be;

We simplify and we now have;

Rounded to the nearest mile, that is, the nearest whole number;

ANSWER:

The structure of an optically inactive fat that, when hydrolyzed, gives glycerol, one equivalent of lauric acid, and two equivalents of stearic acid is shown below.

We have,

To draw the structure of an optically inactive fat that, when hydrolyzed, gives glycerol, one equivalent of lauric acid, and two equivalents of stearic acid.

Here's the structure of an optically inactive fat that, when hydrolyzed, yields glycerol, one equivalent of lauric acid, and two equivalents of stearic acid:

       H              H         H

        |               |           |

H O - C - C - C - C - C - C - C - C - C - C - C - C - C - C - O H

        |               |          |

      H             OH       OH

In this structure, the fatty acids attached to the glycerol backbone are lauric acid (C₁₂:0) and stearic acid (C₁₈:0).

The hydrolysis of this fat will break the ester bonds between the glycerol and the fatty acids, resulting in the formation of glycerol, one molecule of lauric acid, and two molecules of stearic acid.

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In the metric system, multiplying by 1,000 would be the same as moving the decimal point three places to the right. So the correct option is C.

We move the decimal point to the right by the same number of places as the multiplier's number of zeros after one when the multiplier is 10, 100, or 1000. The decimal point in the multiplicand must be moved three places to the right in order to multiple a decimal by 1000. The number 644.67 was multiplied by 1000 in this case, moving us three spaces to the right. So the sum will be:

=644.67 × 1000

= (64467/100) × 1000

= 64467 × 10

= 644670

Remember that a decimal will move right the same number of places as the multiplier's number of zeros when multiplied by 10, 100, 1000, etc. If the multiplier contains more zeros than the numbers after the decimal point, the answer must also have more zeros.

Multiplying by 1,000 in the metric system corresponds to shifting the decimal point three places to the right. Thus, C is the correct option.

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Answer: 5

Step-by-step explanation:

Answer:

y = 60x + 20

Step-by-step explanation:

The number of hours that we ski is a variable cost where each hour costs $60. On top of that, we have a fixed cost of $20 which stays the same no matter how long we ski.

So we can use an equation to find the totla cost C given the number of hours t as follows:

C(t) = 60t + 20

We can use this equation to find the cost of a skiing session by plugging in some value for t. For example, if we ski for 3 hours:

C(3) = 60(3) + 20 = $200

The equation can also be written using x and y and mean the same thing.

Answer:

Rotate it so the triangle is pointing down, and that's rotating it 90°

Rotate it so the triangle is pointing to the left, and that's 180°

Rotate it so the triangle is pointing up, and that's 270°

Step-by-step explanation:

Answer:

-8(8x + 7) = -64x - 56

Step-by-step explanation:

Distribute -8 inside the parenthesis:

=  -8(8x) + [-8(7)]

=   -64x - 56

Answer:

Earlier we found that:

If we put y on one side by itself the equation is:

This is same as the equation of the red line.

Any right triangle using this line will be similar to each other.

It's easier

We know the slope formula for origin crossing line

Here

m is 2

So

Answer: C

Step-by-step explanation:

The estimated area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints is approximately 0.8916.

To estimate the area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints, we can use the right Riemann sum method.

The width of each rectangle, Δx, is given by the interval width divided by the number of rectangles.

In this case, Δx = (π/2 - 0)/4 = π/8.

To calculate the right endpoint values, we evaluate f(x) at the right endpoint of each rectangle.

For the first rectangle, the right endpoint is x = π/8.

For the second rectangle, the right endpoint is x = π/4.

For the third rectangle, the right endpoint is x = 3π/8.

And for the fourth rectangle, the right endpoint is x = π/2.

Now, let's calculate the area for each rectangle by multiplying the width (Δx) by the corresponding height (f(x)):

Rectangle 1: Area = f(π/8) * Δx = 5cos(π/8) * π/8

Rectangle 2: Area = f(π/4) * Δx = 5cos(π/4) * π/8

Rectangle 3: Area = f(3π/8) * Δx = 5cos(3π/8) * π/8

Rectangle 4: Area = f(π/2) * Δx = 5cos(π/2) * π/8

Now, let's calculate the values:

Rectangle 1: Area = 5cos(π/8) * π/8 ≈ 0.2887

Rectangle 2: Area = 5cos(π/4) * π/8 ≈ 0.3142

Rectangle 3: Area = 5cos(3π/8) * π/8 ≈ 0.2887

Rectangle 4: Area = 5cos(π/2) * π/8 ≈ 0

Finally, to estimate the total area, we sum up the areas of all four rectangles:

Total Area ≈ 0.2887 + 0.3142 + 0.2887 + 0 ≈ 0.8916

Therefore, the estimated area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints is approximately 0.8916.

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The absolute value inequality graphed is:

y ≥ |x - 5| + 1

We can see that we have an absolute value equation, and the region above the graph is shaded, so we have:

y ≥ absolute value equation

We can see that the slope of the absolute value equation is 1, and the vertex is (5, 1), then the equation is:

|x - 5| + 1

Replacing that in the inequality we will get:

y ≥ |x - 5| + 1

That is the graphed inequality.

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The length of side x, expressed in the simplest recent incarnation with a rational denominator, is √33 units in the given statement.

The denominator of a fractional is often the smaller number. It serves as an example of how something was divided into equal pieces. For example, if the portion was 3/4, 40 would be the fraction.

The altitude splits the side of an equilateral triangle in half.

So, the hypotenuse will be √11 + √11 = 2√11

From the Pythagoras theorem we have;

x² + (√11)² = (2√11)²

⇒ x = √(2√11)² - (√11)²

⇒ x = √33 units

Therefore, the length of x is √33 units.

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The length of x in simplest radical form with a rational denominator is (√33)/2.

A triangle is a three-sided polygon with three vertices and three angles. The sum of the interior angles of a triangle is always 180 degrees. Triangles are one of the basic shapes in geometry and are used in many different areas of mathematics, science, and engineering.

There are many different types of triangles, including equilateral triangles, isosceles triangles, and scalene triangles. An equilateral triangle has three equal sides and three equal angles, each measuring 60 degrees. An isosceles triangle has two equal sides and two equal angles, while a scalene triangle has no equal sides or angles.

Let's call the length of the equilateral triangle's sides "s".

Since the median divides the equilateral triangle into two congruent right triangles, we can use the Pythagorean theorem to find x:

x² = s² - (s/2)²

x² = s² - s²/4

x² = 3s²/4

We're given that one of the sides of the equilateral triangle is √11, so we can use this to solve for s:

s² = (√11)²

s² = 11

Substituting this into the equation we found for x², we get:

x² = 3(11)/4

x² = 33/4

Taking the square root of both sides, we get:

x = √(33/4)

To simplify the radical, we can write:

x = √(33)/√4

x = (√33)/2

Therefore, the length of x in simplest radical form with a rational denominator is (√33)/2.

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Answer:

212,500

Step-by-step explanation:

One number that rounds to 213,000 when rounded to the nearest thousands is 212,500.

there you goo :)) on the chain up on the left from 3 to 48 they keep multiplying by 2, and the other one, they keep subtracting by 7

Answer:

B

Step-by-step explanation:

Answer:

Hi there I believe the answer to this is B.

Because if you apply the law of detachment you will get both squares because all rectangles are, are both squares stuck together creating a longer length and making it more quadraliteral

Hope that helped :)