How to solve for m? 2=8m

Answer:

7.30

Step-by-step explanation:

number 13 is simple subtraction.

Let's say you're trying to decide whether or not to invest in a certain stock. You've analyzed the company's financial reports and economic indicators, but you're still uncertain about the stock's future performance. Based on your intuition and experience with the stock market, you estimate that there is a 70% chance that the stock's value will rise in the next six months.

You decide to invest based on that probability, and six months later the stock has actually gone up in value. Your decision turned out to be a good one, but that doesn't necessarily mean your probability estimate was accurate. The stock could have gone down in value just as easily, despite your assessment of its likelihood of going up.

Therefore, even when we make decisions based on probability, there is always a level of uncertainty involved and the outcome may not always line up with our initial estimates. However, taking the time to consider the likelihood of different outcomes can help us make more informed decisions and better manage risk.

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Is the function above continuous: B. not continuous at x = 0.

In Mathematics and Geometry, a continuous function can be defined as a type of function in which there is no discontinuities or breaks between the intervals for the points plotted on a graph.

In Mathematics and Geometry, a discrete function can be defined as a type of function in which the ordered pair of values on the x-axis and y-axis are separate from each other and unconnected.

By critically observing the graph shown above, we can reasonably infer and logically conclude that it represents a discrete function because it is not continuous at x is equal to 0 i.e x = 0.

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Answer:

7) x= 8[tex]\sqrt{3}[/tex]    y= 8

8) x= 10[tex]\sqrt{3}[/tex]  y= 15

9) x= 22      y= 11[tex]\sqrt{3}[/tex]

10) x= 4       y= 4[tex]\sqrt{3}[/tex]

11) x= 6[tex]\sqrt{3}[/tex]   y= 12[tex]\sqrt{3}[/tex]

12) x= 13      y= 26

Step-by-step explanation:

Just use your 30, 60, 90 triangle rules:

hypotenuse= 2x the shortest leg (the one opposite the angle measuring 30 degrees)

longer leg= the shortest leg times [tex]\sqrt{3}[/tex]

to find shortest leg, substitute the variables

Answer:   2(b - 6) = 7

Step-by-step explanation:

"b" represents the unknown number.

6" means (b - 6), and "twice the difference of a number and 6" means 2(b - 6). "Is" translates to the equals sign (=) in the equation, and "7" represents the value that the expression on the left side of the equation is equal to.

A) The total amount covered by insurance is $4940. B) The deductible of $1000, so his out-of-pocket cost will be $1000. C) The total amount covered by insurance is $4940.

Using percentages, you can represent a proportion as a piece of 100. In a variety of disciplines, including finance, economics, and statistics, it is a typical method for representing and contrasting data. In most cases, the % symbol is used to indicate percentages. Indicating changes in values over time, like as rises or falls in stock prices, inflation rates, or population expansion, is another way to utilise percentages.

A) Given that, tax is 8% thus,

Total cost with tax is:

$5500 x 1.08 = $5940.

Also, deductible amount is $1000:

$5940 - $1000 = $4940.

The total amount covered by insurance is $4940.

B) The deductible of $1000, so his out-of-pocket cost will be $1000.

C) The total amount covered by insurance is $4940.

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Answer:

To find the value of t when the population exceeds 1151, we need to solve the equation:

1151 = 800e^(0.14t)

First, divide both sides of the equation by 800:

1.43875 = e^(0.14t)

Now, take the natural logarithm (ln) of both sides:

ln(1.43875) = ln(e^(0.14t))

Using the property of logarithms, we can move the exponent in front of the logarithm:

ln(1.43875) = 0.14t * ln(e)

Since ln(e) = 1:

ln(1.43875) = 0.14t

Now, divide both sides by 0.14:

t = ln(1.43875) / 0.14

Finally, calculate the value of t:

t ≈ 2.71

So, the population will exceed 1151 at approximately t = 2.71.

Step-by-step explanation:

Answer:

t=2.59839

Step-by-step explanation:

You are trying to solve for t in the equation

1151=800*e^(.14t) --> 1.43875=e^(.14t)

to get rid of the e, you take the natural log of both sides, denoted by "ln" on calculators. The natural log of e to the power of something always equals the something

ln(1.43875)=ln(e^(.14t)) --> .36377=.14t --> 2.59839=t

Answer: $80

Step-by-step explanation:

If Tyrone's savings account earns a simple 10% annual interest and is not compounded, then the interest for one year can be calculated using the formula:

Interest = Principal × Rate × Time

where:

Principal = $800

Rate = 10% = 0.1

Time = 1 year

Interest = $800 × 0.1 × 1 = $80

Tyrone will earn $80 in interest in 1 year. To find the total amount in his account after 1 year, we add the interest to the principal:

Total amount = Principal + Interest

Total amount = $800 + $80 = $880

In 1 year, Tyrone will have $880 in total in his savings account.

Answer:

$880

Step-by-step explanation:

10% = .1

800 x .1 = 80

80 + 800= 880

Answer: To find the P-value, we first need to determine the direction of the alternative hypothesis. Since the alternative hypothesis is two-tailed, we need to divide the significance level (α) by 2 before finding the critical values and the rejection region. Therefore, we have:

H0: p = 0.06

Ha: p ≠ 0.06

α = 0.05/2 = 0.025

The test statistic is z = 1.79, which represents the number of standard errors that the sample proportion is from the hypothesized population proportion under the null hypothesis. We can find the P-value by looking up the area in the standard normal distribution table beyond the test statistic in both tails:

P-value = P(Z ≤ -1.79 or Z ≥ 1.79)

= P(Z ≤ -1.79) + P(Z ≥ 1.79)

= 0.0364 + 0.0364

= 0.0728

Therefore, the approximate P-value for Elliot's significance test is 0.0728. Since the P-value is greater than the significance level of 0.05, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the proportion of adults who bike to work in Elliot's city has changed significantly from the previous year.

Step-by-step explanation:

The probability that person has applied for a home mortgage this year is 0.094.

What is probability?

The likelihood of an event occurring can be calculated using probability. The only usable result is the probability that an event will occur. a scale with 0 representing impossibility and 1 representing a certain occurrence.

From the question, we get the following information:

⇒ Total Number of customers = 3000 + 24300

⇒ Total Number of customers = 27300

⇒ Persons who applied = 2430 + 150

⇒ Persons who applied = 2580

So, we get

⇒ Probability = [tex]\frac{2580}{27300}[/tex]

⇒ Probability = 0.094

Hence, the probability that person has applied for a home mortgage this year is 0.094.

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Answer: Area 6 Perimeter 12

Step-by-step explanation:

First, you have to find the perimeter. 4+5+3=12. Then, you need to find the area, which is base*height/2. The base is 3 and the height is 4. 4*3=12. Then you need to do 12/2=6. The area is 6

Answer:

The answer for P=12cm,A=6cm²

Step-by-step explanation:

Perimeter of triangle=a+b+c

P=5+3+4

P=12cm

Area of triangle =1/2bh

A=1/2×3×4

A=2×3

A=6cm²

In order to calculate the time that Charlotte took we just first have to calculate the time that Terrence took to finish the word search, that is done by multiplying the 32 minutes that Frank took by the three quartes that it took Terrence:

[tex]\text{Time}=\huge \text(\dfrac{3}{4} \huge \text)(32)[/tex]

[tex]\text{Time}=\huge \text(\dfrac{96}{4} \huge \text)[/tex]

[tex]\text{Time}=24[/tex]

So now we know that It took Terrence 24 minutes, and that Charlotte took two thirds of that time so we now just multiply that:

[tex]\text{Time}=\huge \text(\dfrac{2}{3} \huge \text)(24)[/tex]

[tex]\text{Time}=\huge \text(\dfrac{48}{3} \huge \text)[/tex]

[tex]\boxed{\underline{\bold{Time=16}}}[/tex]

Answer: 61.03

Step-by-step explanation:

c = a2 + b2 = 502 + 352 ≈ 61.03278

Option C: We can say with 95% confidence that the true mean number of books people read in the past year is between 9.41 and 11.39 books.

A confidence interval is a set of values created from a sample of data that, at a given level of confidence, are likely to include the true population parameter. It is employed to estimate a population parameter that is unknown, like the mean or proportion.

On the other hand, a prediction interval is a set of values that, given a certain level of confidence, are likely to include the value of an upcoming observation from the same population. Based on the sample data, it is used to forecast how a future observation will turn out.

The confidence interval is given by the formula:

CI = x ± t*(s/√n)

Now, for 95% confidence interval, the level of significance is α = 0.05.

Also, α/2 = 0.025 and t = 1.962 we have:

CI = 10.4 ± 1.962*(16.6/√1012)

CI = 10.4 ± 0.99

CI = (9.41, 11.39)

Hence, we can say with 95% confidence that the true mean number of books people read in the past year is between 9.41 and 11.39 books.

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I hope this helps you .

Answer: 628 cm^3

Step-by-step explanation:

[tex]A= \frac{\pi r^{2} }{2} \\[/tex]

[tex]A =\pi(20)^{2}/2\\[/tex]

a= 628 cm^3

According to the question the magnitude of the resulting force is 5.83.

Magnitude is a measure of the size or intensity of a physical quantity. It is an expression of how large or small a quantity is in comparison to a reference value. Magnitude is typically used in physics and astronomy, but it can also be used in other areas such as engineering and seismology. Magnitude is not an absolute measurement; rather, it is a relative measure of how much larger or smaller one quantity is compared to another. For example, the magnitude of a star's brightness is a measure of how much brighter it is compared to other stars.

The magnitude of the resulting force can be calculated using the Pythagorean theorem. The formula for calculating the magnitude of a vector is:
[tex]\sqrt[]{(x2 + y2)}[/tex]
In this case, x = 5 and y = -3, which gives us:
[tex]\sqrt{(52 + (-3)2)}[/tex] = [tex]\sqrt{(25 + 9)}[/tex] = √[tex]\sqrt{(34)}[/tex] = 5.83.
Therefore, the magnitude of the resulting force is 5.83.

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Arun's purple paint will be redder.

Percentage is a way of expressing a proportion or a fraction as a number out of 100. It is represented by the symbol "%". For example, if you say that 20% of students in a class scored an A grade in a test, it means that 20 out of every 100 students received an A grade.

Deondra mixed 6 cups of blue paint and 7 cups of red paint, so the percent of red paint in her mixture is:

7 / (6 + 7) × 100% = 53.8%, which rounds to 54%.

Arun mixed 2 cups of blue paint and 3 cups of red paint, so the percent of red paint in his mixture is:

3 / (2 + 3) × 100% = 60%.

Since Arun's mixture has a higher percentage of red paint, his purple paint will be redder than Deondra's.

Therefore, the answer is Arun's purple paint will be redder.

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The area of the room is 144 sq. ft. The volume of the room is 1,440 cu. ft. The rate of change in air is 150 ACs per hour. The room differential pressure with respect to the adjacent hallway, be negative.

HVAC stands for Heating, Ventilation, and Air Conditioning. It is a system designed to provide thermal comfort and acceptable indoor air quality in residential, commercial, and industrial buildings. The HVAC system works by controlling the temperature, humidity, and air quality within a building. It does this by using a combination of heating, cooling, ventilation, and air filtration. The heating component of the system can be achieved through furnaces, boilers, or heat pumps, while the cooling component can be achieved through air conditioning units or heat pumps. Ventilation is provided through the use of ductwork and fans that circulate fresh air throughout the building, and air filtration is achieved through the use of filters that remove contaminants from the air. Overall, the HVAC system is a vital component of modern buildings, as it ensures that indoor spaces are comfortable, healthy, and safe for occupants.

• We need to convert inches to feet, so divide it by 12. Therefore, the area of the room in square feet is:

Area = (144/12) x (144/12) = 12 x 12 = 144 sq. ft.

• To find the volume of the room in cubic feet, we need to multiply the area of the floor by the height of the room:

Volume = Area x Height = 144 sq. ft. x (120/12) ft. = 1,440 cu. ft.

• The total CFM of the HEPA filters is 6 x 600 = 3,600 CFM.

The rate of change in air can be calculated as:

N = 60Q/Vol = 60 x 3,600/1,440 = 150 ACs per hour

• If the door to the room were opened, the room differential pressure with respect to the adjacent hallway would most likely become negative because the air would flow out of the room into the hallway due to the pressure gradient.

Therefore, the answer is Negative.

Note: The final pressure differential direction will depend on several factors, such as the number of air changes per hour, the size of the door, and the location of the HVAC system. It is always best to consult with an HVAC professional for specific cases.

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Step-by-step explanation:

Simply divide   lessons   by days      

    69 lessons / 45 days = 1  8/15  =  1.53 lessons per day

Answer: The formula for the surface area of a sphere is given by 4πr^2, and since we have half of a sphere, the surface area of a dome (a half sphere) is 2πr^2.

Plugging in the radius r = 12 meters, we get:

Surface area = 2π(12)^2

Surface area = 2π(144)

Surface area ≈ 904.78

Rounding to the nearest whole number, we get the surface area of the dome as 905 meters squared. Therefore, the closest answer choice is 967 meters squared.

So the answer is: 967 meters squared.

Step-by-step explanation:

Answer: The collection of whole numbers greater than one trillion below is well defined and is a set. It consists of all whole numbers greater than 1 trillion and less than infinity. Although the set may be infinite, it is still well defined and can be defined using set-builder notation as:

{ x ∈ ℤ | 1,000,000,000,000 < x < ∞ }

or using interval notation as:

(1,000,000,000,000, ∞)

Step-by-step explanation:

Assuming it's breadth is 4 1/2 m.

Assuming it's length is 8 1/4 m.

Assuming it's height is 6 1/2 m

Then the volume of a rectangular prism is given as l x b x h. Which means we multiply all the sides by one another. From my assumption of values, we have that 8 1/4 x 4 1/2 x 6 1/2, and this gives us 241.3125 m³ or 241.31

[tex]\cfrac{5^7}{5^{-13}}\times\left( \cfrac{4^3}{7^{-2}} \right)^{-2}\implies 5^7\cdot 5^{13}\times \left( \cfrac{7^{-2}}{4^3} \right)^{+2}\implies 5^7\cdot 5^{13}\times\left( \cfrac{7^{-4}}{4^6} \right) \\\\\\ 5^{7+13}\times\left( \cfrac{1}{4^6\cdot 7^4} \right)\implies \cfrac{5^{20}}{4^6\cdot 7^4}\implies \cfrac{95367431640625}{9834496}[/tex]

The second polygon appears to be the same as the first polygon but shifted 7 units to the right. Therefore, the correct answer is: 7 units to the right.

A closed, two-dimensional shape with straight sides is called a polygon.

Triangles, quadrilaterals, pentagons, hexagons, and other shapes are examples of polygons.

Usually, a polygon's name indicates how many sides it has.

For instance, a quadrilateral has four sides, a triangle has three, and so on.

To create the image, the second polygon A' B' C' D' was moved from its original position to its new position.

Observing the coordinates of the corresponding vertices of the polygons, we see that each vertex of the second polygon was moved 7 units to the right to obtain its new position.

Therefore, the translation used to create the image is 7 units to the right.

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Answer:

The correct answer is B: Saturday.

The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.

The set 2Z is associative under the operation *, has an identity element of 2, and every element (except for 0) has an inverse element.

The set 2Z is defined as follows:

2Z = {2n | n ∈ Z, a * b = a + b}

Associative element:

There exists an associative element in 2Z if, for all a, b, and c in 2Z, the equation a*(bc) = (ab)*c holds.

Let a, b, and c be arbitrary elements of 2Z:

a = 2n₁

b = 2n₂

c = 2n₃

Then we have:

a*(bc) = a(2n₂2n₃) = a(4n₂n₃) = 2n₁ + 4n₂n₃ = 2(n₁ + 2n₂n₃)

(a*b)c = (2n₁2n₂)*2n₃ = (4n₁n₂)*2n₃ = 8n₁n₂n₃ = 2(2n₁n₂n₃)

Therefore, a*(bc) = (ab)*c, and 2Z is associative under the operation *.

Identity element:

There exists an identity element in 2Z if there exists an element e in 2Z such that, for all a in 2Z, the equation ae = ea = a holds.

Let e be an arbitrary element of 2Z:

e = 2n

Then we have:

ae = a2n = a + 2n = 2m, where m = n + (a/2) ∈ Z

ea = 2na = a + 2n = 2m', where m' = n + (a/2) ∈ Z

Therefore, e = 2n is an identity element in 2Z.

Inverse element:

There exists an inverse element in 2Z if, for all a in 2Z, there exists an element b in 2Z such that ab = ba = e, where e is the identity element.

Let a be an arbitrary element of 2Z:

a = 2n

Then we need to find an element b in 2Z such that ab = ba = e = 2.

We have:

ab = ba = 2n*b = 2

Therefore, b = 1/(2n) is the inverse of a in 2Z if n ≠ 0.

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The value of Tanθ is 20/21.

What is Pythagorean Theorem?

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Here, we have

Given: sinθ = -20/29 and that angle terminates in quadrant III.

We have to find the value of tanθ.

Using the definition of sine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.

Sinθ = Perpendicular/hypotenuse

Find the adjacent side of the unit circle triangle. Since the hypotenuse and opposite sides are known, use the Pythagorean theorem to find the remaining side.

Adjacent = - √Hypotenuse² - perpenducualr²

Replace the known values in the equation.

Adjacent = -√29² - (-20)²

Adjacent = -21

Find the value of tangent.

Tanθ = Perpendicular/base

Tanθ = -20/(-21)

Hence, the value of Tanθ is 20/21.

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