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How do you write 0.8 as a fraction

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{1}{3^2} \right)^{-1}\implies \left( \cfrac{3^2}{1} \right)^{+1}\implies 3^2\implies 9\)

Answer:

The man's income by the 20th week will be Rs. 1770

Step-by-step explanation:

Given that the income of man in first week is Rs. 60

It is also mentioned that the income increases every week then the previous one.

which means the weekly incomes will be like:

60,63,66,69.....

As the common difference of terms is same i.e. 3, it forms an arithmetic sequence.

Where

\(a_1 = 60\\d = 3\)

The general formula for arithmetic sequence is:

\(a_n = a_1+(n-1)d\)

Putting the values of d and a_1 we get

\(a_n = 60+(n-1)(3)\\a_n = 60+3n-3\\a_n = 57+3n\)

This is the general formula to find the income of any week. Now for 20th week,

n = 20

\(a_{20} = 57+(20)(3)\\a_{20} = 57+60\\a_{20} = 117\)

The income for 20th week is 117.

As we have to find the total income for 20 weeks

We will use the summation formula for arithmetic sequence.

\(S_n = \frac{n}{2}(a_1+a_{20}})\)

Putting the values

\(S_n = \frac{20}{2}(60+117}\\S_n = 10(177}\\S_n = 1770\ Rs.\)

Hence,

The man's income by the 20th week will be Rs. 1770

m= 24 (amount of filament used per wolf)

b= 9 (initial waste of filament during project setup process)

y = number of wolves made

x = amount of filament used

A filament is described as a slender threadlike object or fibre, especially one found in animal or plant structures.

Therefore, Nizzie is making 3D printed wolf figurines to give to all of her friends at the next basketball game they attend. Each wolf will requires 24 grams of red filament to make, and the printer wastes 9 grams of filament during the project setup process.

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The estimated volume of the solid is 99 cubic units (rounded to the nearest integer).

To use Simpson's Rule with n = 10, we need to divide the interval [0, 10] into 10 equal subintervals. The width of each subinterval is:

h = (10 - 0)/10 = 1

We can then use Simpson's Rule to approximate the volume of the solid:

V ≈ (1/3)[f(0) + 4f(1) + 2f(2) + 4f(3) + 2f(4) + 4f(5) + 2f(6) + 4f(7) + 2f(8) + 4f(9) + f(10)]

where f(x) = πy(x)²

We can use the given formula for y(x) to compute the values of f(x) for each subinterval:

f(0) = π(2/(1 + \(e^0\)))² ≈ 3.1416

f(1) = π(2/(1 + \(e^-1\)))² ≈ 2.6616

f(2) = π(2/(1 + \(e^-2\)))² ≈ 2.4605

f(3) = π(2/(1 + \(e^-3\)))² ≈ 2.4885

f(4) = π(2/(1 + \(e^-4\)))² ≈ 2.6669

f(5) = π(2/(1 +\(e^-5\)))² ≈ 2.9996

f(6) = π(2/(1 + \(e^-6\)))² ≈ 3.4851

f(7) = π(2/(1 + \(e^-7\)))² ≈ 4.1612

f(8) = π(2/(1 + \(e^-8\))² ≈ 5.1216

f(9) = π(2/(1 + \(e^-9\)))² ≈ 6.4069

f(10) = π(2/(1 + \(e^-10\)))² ≈ 8.0779

Substituting these values into the formula for V and using a calculator, we get:

V ≈ 99

Therefore, the estimated volume of the solid is 99 cubic units (rounded to the nearest integer).

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The area of the surface generated by revolving the curve y=4x+2 on [0,4] about the x-axis is S =4π/3 (3√17 + 2) .

To find the surface area generated by revolving the curve y=4x+2 about the x-axis on [0,4], we need to use the formula:

S = 2π∫[a,b] y ds

where ds = \sqrt(1 + (dy/dx)²) dx is the arc length element.

First, we find dy/dx: dy/dx = 4

Then, we can find the arc length element: ds = \sqrt(1 + (dy/dx)²) dx = \sqrt(1 + 16) dx = \sqrt(17) dx

The integral for surface area becomes: S = 2π∫[0,4] y ds = 2π∫[0,4] (4x+2)√17 dx

Evaluating this integral, we get:

S = 2π(2/3)√17 [ (4x+2)^(3/2) ]_0^4

S = 4π/3 (3√17 + 2)

Therefore, the area of the surface generated is 4π/3 (3√17 + 2) square units.

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Answer: the answer is 2.75 because

Step-by-step explanation: 1.25+0.75+0.75=2.75 hope i Helped mark me as brainliest

Total spent

\(\\ \tt\longmapsto 0.75+1.25+0.75\)

\(\\ \tt\longmapsto 2.75\$\)

Caitlyn would need to know the population size of Montana in order to predict how many babies will be born this year in the state.

In order to predict how many babies will be born this year in Montana, Caitlyn needs to have access to the population size of Montana. The total fertility rate for Montana is 1.73, which is the average number of children a woman can expect to have throughout her lifetime. Knowing the population size of Montana will allow Caitlyn to have a better understanding of how many babies are likely to be born this year, as this number is directly correlated to the total fertility rate. By having access to both the population size and the total fertility rate, Caitlyn will be able to make a more informed prediction about the number of babies that will be born this year in Montana.

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The area of the floor of the scale drawing and the scale factor are 72 in² and 1/2 respectively.

Actual Length = 28 feets

Actual width =  38 feets

Model width = 14 inches

The scale factor = 14/28 =1/2

The length of the model can  be calculated thus :

Actual Length × scale factor

Model width = 38 × 1/2= 19 inches

The Area of a rectangle can be calculated using the relation :

Area = Length × width

Area of floor = 19 inches × 14 inches = 266 inch²

Therefore, the area of the floor of the scale drawing is 266 in²

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Answer:

Step-by-step explanation:

(0 - 3)/(7 - 0)= -3/7

y - 0 = -3/7(x - 7)

y = -3/7x + 3

The weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

To determine the percentage of newborn African lions that weigh less than 3 pounds and the percentage that weigh more than 3.8 pounds, we would need statistical data on the weight distribution of newborn African lions. Since we don't have that information, we cannot provide the exact percentages.

However, if we assume that the weights of newborn African lions follow a normal distribution, we can use the properties of the standard normal distribution to make an estimation.

For the percentage of newborn African lions weighing less than 3 pounds:

We would need to know the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3 pounds and then find the corresponding percentage using a standard normal distribution table. Without this information, we cannot provide an accurate estimation.

For the percentage of newborn African lions weighing more than 3.8 pounds:

Similarly, we would need the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3.8 pounds and find the corresponding percentage using a standard normal distribution table. Without the required information, we cannot provide a specific estimation.

Please note that the weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

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Answer: The formula solved for L is E/100M = L.

Step-by-step explanation:

So far we have the givens:

E, is measured by the formula E = 100M/L, where M = number monsters and L= level of monsters and solve for L.

Thus, isolate L to solve for it.

E = 100M/L

Divide each side by 100M to get rid of it and to free L.

E/100M = L

Hence your answer!

Answer: 50M/E is correct

Step-by-step explanation: I got it right :D

Answer:

1 and 6 thousandths.

Step-by-step explanation:

To say the decimal point into words, you say and.

The decimal points are tenths, hundreths, thousandths, ten thousandths, hundred thousands, millionths

Answer:

one and six thousandths

Step-by-step explanation:

Hope this helps

One meter is equal to 100 centimeters.

Now, we need to know 3.06 meters in centimeters:

Use the rule of three to find this value

1meter-------------------- 100cm

3.06------------------------- x cm

Where x is = (3.06*100)/1

Then x=306

The ceiling is 306 centimeters tall.

Answer:

(-4, 5) Quadrant ll

Step-by-step explanation:

Hope this helps

A fraction can be considered a term because it represents a distinct component of an expression or equation that can be manipulated and combined with other terms according to the rules of arithmetic.

Yes, a fraction can be considered a term. In mathematics, a term refers to a component of an expression or equation that is separated by addition or subtraction. It can consist of numbers, variables, or a combination of both, and may include mathematical operations such as multiplication or division.

A fraction represents a division operation, where the numerator is divided by the denominator. For example, in the fraction 3/4, the numerator is 3 and the denominator is 4. The fraction itself can be treated as a single entity or term within an expression or equation.

When fractions are involved in mathematical operations, they can be combined with other terms, such as adding or subtracting fractions or multiplying them with other numbers or variables. In these cases, fractions are considered individual terms within the overall expression.

Moreover, in algebraic expressions, fractions can also appear as coefficients or factors of variables. For instance, in the expression 2x/3, the fraction 2/3 is a term that represents the coefficient of the variable x.

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The amount above which a customer would receive a free gift is $57.77 (rounded to the nearest cent).

Given that the expenditures for all customers at this supermarket is normally distributed with a mean of $80 and a standard deviation of $17.

The management of the supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. The management wants to give free gifts to at most 12.1% of the customers, we need to find the amount above which a customer would receive a free gift.

To find the amount above which a customer would receive a free gift, we need to find the z-score corresponding to the 12.1% percentile value.

z-score = z = (x - μ) / σ

Where, x = the value to find

μ = population mean = 80

σ = population standard deviation = 17z = z-score

Using the standard normal distribution table, we can find the z-score corresponding to the 12.1% percentile value.

The area under the standard normal distribution curve to the left of z-score = -1.21 is 0.1103.

Now we can find the x-value using the formula:

x = z * σ + μ

Substitute the given values,

x = -1.21 * 17 + 80x = 57.77

So, the amount above which a customer would receive a free gift is $57.77 (rounded to the nearest cent).

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Answer:

Step-by-step explanation:

you do part a

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

b

Divide equation 2 by 3

x-y=3

add y to both sides

x=3+y

Sbustitute this into equation 1

4(3+y)=2

12+4y+y=2

5y= -10

y= -2

Plug this into equation 1

4x-2=2

x=1

Part c.

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

divide equation 2 by 3

x-y=3

add the two equations

(x-y)+(4x+y)=2+3

5x=5

x=1

Plug this into equation 1

4(1)+y=2

4+y=2

y= -2

For part a just create a table and graph it

Dividing the circumference of a pumpkin by its diameter gives a value approximately equal to pi (π)

When you divide the circumference of a pumpkin by its diameter, you get a value that is approximately equal to the mathematical constant pi (π), which is approximately 3.14159.

This is because pi represents the ratio of the circumference of a circle to its diameter, and a pumpkin is roughly spherical in shape. So, no matter how big or small the pumpkin is, if you measure its circumference and diameter and divide them, the result will be very close to pi.

Mathematically, this can be represented by the formula

pi ≈ circumference / diameter

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We need to find the general solution of the above PDE. Let's solve the above PDE by the method of characteristic. Let us first solve the PDE by using the method of characteristics.

The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations. To use this method, we first need to find the characteristic curves of the given PDE. Thus, the characteristic curves are given by $x = t + c_1$.

Now, we need to eliminate $t$ from the above equations in order to obtain the general solution. By eliminating $t$, we get the general solution as:$$u(x,y) = f(2x - 3y) + 3(x - 2y)$$ where $f$ is an arbitrary function of one variable. Hence, the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$ is given by the above equation. Thus, the main answer to the given question is $u(x,y) = f(2x - 3y) + 3(x - 2y)$. In order to find the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$, we first used the method of characteristics. The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations.

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ANOVA is appropriate because the independent variable is categorical and has three classes. The dependent variable is continuous, so ANOVA can be used to determine if there is a significant difference between the means of the three groups.

There are many different types of statistical tests that can be used to analyze data. When choosing a statistical test, it is important to consider the type of data that is being analyzed. In this case, the researcher is looking at an independent variable that is categorical and has three classes. The dependent variable is continuous. In this situation, the best test to use is an analysis of variance (ANOVA).

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Answer:

60% of the students are boys

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

Answer: A

Step-by-step explanation:

The Y intercept is his base pay, because no matter what he is getting 38,000. So, his total salary will always start out at 38,000 then continue up with commission sales.

Answer:

123

Step-by-step explanation:

ponuts

Answer: 12

Step-by-step explanation:

x/6 = 2

you have to divide x equally into 6 two times to find x you have to

Times the Denominator and the answer (6·2)

which results in being 12

and to check you plug 12 into x and get this 12/6 = 2

6*2 = 12

so 12 was divided 2 times into 6 and you get 2 = 2  

I know the way I summed it up was lengthy sorry about that.

The equation of a line that is parallel to 4x+3y=12 and passes through the point (3, 4) is 4x+3y = 24

The standard form of equation of line is y=m x+ b

where m is slope of line and b is y-intercept.

According to the question,

The required line is parallel to line whose equation is 4x + 3y = 12

Slope of given line =

3y = 12 - 4x

dividing by 3 both sides,

y = 12/3 - 4/3x

=> y = 4 - 4/3x

Slope of given line = -4/3

If two lines are parallel their slopes are equal to each other

Hence , Slope of required line : m = -4/3

Equation of line : y = -4/3x + b ------------(1)

It is given that required line also passes through the point = (3,4)

substituting the values of x = 3 and y=4 in equation (1)

=> (4) = (-4/3)(3) + b

=> 4 = -4 +b

=> b = 8

Substituting the value of b,

The equation of required line is y = -4/3x + 8

multiplying by 3 both sides,

3y = -4x + 24

=> 4x+3y = 24

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The value of the functions 2f + 4g is {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)} and the value of 2g/h is (1,2.5)

In particular, a function maps each element of a set (called the domain) to a unique element of another set (called the range). In this context, we'll look at two functions, f and g, and explore how we can perform arithmetic operations with them.

We can think of these pairs as points on a Cartesian plane, where the x-coordinate represents the input and the y-coordinate represents the output.

Now, let's move on to the arithmetic operations with functions. The first operation we're asked to perform is 2f + 4g. To do this, we need to apply the following steps:

Multiply each ordered pair in f by 2, and multiply each ordered pair in g by 4. This means that the inputs stay the same, but the outputs are multiplied by their respective constants.

Simplify the resulting set by removing any duplicate ordered pairs.

Let's work through this process step by step for our given functions:

Multiplying f by 2 gives us: {(-2,4), (0,6), (2,10), (-2,6)}

Multiplying g by 4 gives us: {(-8,4), (0,12), (4,20), (-4,12), (12,0)}

Taking the union of these sets gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}

Simplifying this set by removing duplicates gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}

So, 2f + 4g is the function represented by the set {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}.

For the ordered pair (1,5) in g, the corresponding ordered pair in h is (5,4). So, we can compute 2g(1)/h(5) as follows:

2g(1) = 2 * 5 = 10

h(5) = 4

2g(1)/h(5) = 10/4 = 2.5

Therefore, the ordered pair (1,2.5) is in the result set.

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Answer:

There are no solutions.

Step-by-step explanation:

8z−22=3(3z+11)−z

Step 1: Simplify both sides of the equation.

8z−22=3(3z+11)−z

8z+−22=(3)(3z)+(3)(11)+−z(Distribute)

8z+−22=9z+33+−z

8z−22=(9z+−z)+(33)(Combine Like Terms)

8z−22=8z+33

8z−22=8z+33

Step 2: Subtract 8z from both sides.

8z−22−8z=8z+33−8z

−22=33

Step 3: Add 22 to both sides.

−22+22=33+22

0=55