Need math help with inverse operations.

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

To draw a model showing what percent of 500 lanterns Ms. Duda's class hangs before lunch, we can use a rectangular bar model.

Draw a rectangular bar to represent the total number of lanterns, which is 500. Label it as "Total Lanterns."

Divide the rectangular bar into two parts. One part should represent the number of lanterns hung before lunch, which is 100. Label this section as "Lanterns Before Lunch."

Calculate the percentage of lanterns hung before lunch by dividing the number of lanterns hung before lunch by the total number of lanterns and multiplying by 100. In this case, (100/500) * 100 = 20%.

Draw an arrow pointing to the "Lanterns Before Lunch" section, and write "20%" next to it to represent the percentage.

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

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The answers are:

Part A: The two values of x are: x > 8 or x < -24

Part B: Closed circles at -24 as well as 8 on the number line.

Inequalities are mathematical formulas with two sides that are unequal. In an inequality, we evaluate two numbers rather than two equations. In place of the equal sign, a less than (less than or equal to), larger than (greater than or equal to), or not equal to sign is used.

The following steps are missing for the inequalities:

Solving the inequalities,

Part A:

|1/4x+2|+4 >= 8

|1/4x+2|>=4

Now when we remove the sign fom the inequality, there would be 2 values:

(1/4) x + 2 > 4 or (1/4) x + 2 < -4

Now subtracting 2 from both side:

\((\frac{1}{4} )x > 2\ or\ (\frac{1}{4} )x < -6\)

Divide both the sides by 4:

4(1/4) x > 4(2) or 4(1/4) x < 4(-6)

Now we get two values of x:

x > 8 or x < -24

Part B:

Closed circles at -24 as well as 8 on the number line. Draw a thick line from -24 to the left arrow and a thick line from 8 to the right arrow.

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Answer:

\(\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {14} & {13} & {12} & {11} & {10} \ \\ A & {14} & {26} & {36} & {44} & {50}\ \end{array}\)

Step-by-step explanation:

Given

\(\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {14} & {13} & {12} & {11} & {10} \ \\ A & { } & { } & { } & { } & {50}\ \end{array}\)

Required

Complete the table of Areas

Using the complete column:

Where x = 5, y = 10 and A = 50,

We can deduce that, the area is calculated as:

\(A = 5 * 10 = 50\)

i.e.

\(A = x * y\)

So, for other values of x and y, the area is calculated as thus:

\(x = 1; y = 14\)

\(A = 1 * 14 = 14\)

\(x = 2; y = 13\)

\(A = 2 * 13 = 26\)

\(x = 3; y=12\)

\(A = 3 * 12 = 36\)

\(x =4;y =11\)

\(A = 4 * 11 = 44\)

So, the complete table is:

\(\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {14} & {13} & {12} & {11} & {10} \ \\ A & {14} & {26} & {36} & {44} & {50}\ \end{array}\)

The number that is composed of 7 ones, 11 tenths, 12 hundredths and 41 thousandths is 42,317

Let's just add all the given numbers so we get the number composed of 7 ones, 11 tenths, 12 hundredths and 41 thousandths.

First, 7 ones is trivial, this is:

7*1 = 7

Next 11 tenths, this is 11 times ten:

11*10 = 110

Now the 12 hundredths:

12*100 = 1200

Finally, the 41 thousandths:

41*1000 = 41,000

Now we just add these numbers so we get:

7 + 110 + 1,200 + 41,000 = 42,317

The number that is composed of 7 ones, 11 tenths, 12 hundredths and 41 thousandths is 42,317

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The probability that a discrete random variable X takes on a particular value x is equal to the probability mass function (PMF) of X evaluated at x. The PMF of a discrete random variable X is defined as the derivative of its cumulative distribution function (CDF) with respect to x.

Given the CDF for X as F(x), the PMF for X is denoted as f(x) and can be computed as follows:

f(x) = F'(x) = dF(x)/dx

In this case, the CDF for X is given as:

F(0) = 0

F(1) = .15

F(2) = .45

F(3) = .55

F(4) = .85

F(5) = 1

To find the probability that x = 3, we need to compute the PMF of X at x = 3. Using the formula above, we have:

f(3) = F'(3) = dF(3)/dx

Since the CDF for X is a discrete function, we can compute the derivative by taking the difference between the values of the CDF at x = 3 and x = 2:

f(3) = F(3) - F(2) = .55 - .45 = .1

Therefore, the probability that x = 3 is .1.

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The balance of the account after 12 years is given as follows:

$9,111.

The balance of an account after t years, using continuous compounding, is given by the exponential equation presented as follows:

\(A(t) = A(0)e^{kt}\)

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

A(0) = 5000, k = 0.025, t = 12.

Hence the balance of the account after 12 years is given as follows:

\(A(t) = A(0)e^{kt}\)

\(A(12) = 5000e^{0.025 \times 24}\)

A(12) = $9,111.

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Answer:

39

Step-by-step explanation:

36+12-9

Answer: 39

if not, sorry

Answer:

0.25meters

As 100cm=1metre

so, 25cm=25/100meter

=0.25metre

Step-by-step explanation:

If you like my answer than please mark me brainliest

The answer is 0.25 meters

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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Step-by-step explanation:

The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.

The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.

To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:

For y = sin(x):

x = 0, y = 0

x = π/2, y = 1

x = π, y = 0

x = 3π/2, y = -1

x = 2π, y = 0

For y = sin(2x):

x = 0, y = 0

x = π/2, y = 0

x = π, y = 0

x = 3π/2, y = 0

x = 2π, y = 0

As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).

Therefore, the correct statement is: It is compressed horizontally.

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer:

n.m bnkjhb,nbhj

Step-by-step explanation:

Total money with Kadeem  = $680

Money spent by him on a new bicycle = $470.65

Money left with him after buying a new bicycle = 680 - 470.65 = 209.35

Money spent by him on 2 bicycle reflectors = 7.87*2 = $15.74

Money left with him after buying reflectors = 209.35 - 15.74 = $193.61

Money spent by him on bike gloves = $15.18

Money left with him after buying biking outfits: 193.61 - 15.18 = $178.43

Cost of each outfit = $50.98

Let the number of outfits Kadeem can buy be x, therefore formulating the equation we get:

50.98x< = 178.43

x< = 3.5

So, Kadeem can buy 3 outfits while staying within budget

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Answer:

C)

Step-by-step explanation:

I think this is closest to the info in the table because this is counting by 10 and so is the table.

Answer:

she will use 4.

Step-by-step explanation:

kajsbsbsjajaja

Answer:

78.5

Step-by-step explanation:

We have the perimeter of the square, which is 40, and 40/4=10. In this picture, we see that the circle's diameter is the same as the length of one side of the square. Therefore, the diameter of the circle is 10. The are formula for circles is \(\pi r^{2}\), where \(r\) is the radius. The radius of the circle is just the diameter divided by 2, and 10/2=5. Now, \(5^2\) is 25, and \(3.14\cdot25=78.5\).

The partial decomposition of the expression \(\frac{8x^{4} +3x^{3}-115x^{2} -39x + 200 }{3x(x^{2} -10)^2}\) will be;

⇒ \(\frac{A}{3x} + \frac{Bx + C }{x^{2} -10} + \frac{Dx + E}{(x^{2} -10)^2}\)

Option 4 is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''Start Fraction 8 x Superscript 4 Baseline + 3 x cubed minus 115 x squared minus 39 x + 200 Over 3 x (x squared minus 10) squared End Fraction.''

Now,

The given algebraic expression is written in mathematical form as;

⇒ \(\frac{8x^{4} +3x^{3}-115x^{2} -39x + 200 }{3x(x^{2} -10)^2}\)

Solve by the partial fraction , we get;

⇒ \(\frac{8x^{4} +3x^{3}-115x^{2} -39x + 200 }{3x(x^{2} -10)^2}\) =  \(\frac{A}{3x} + \frac{Bx + C }{x^{2} -10} + \frac{Dx + E}{(x^{2} -10)^2}\)

Where, A, B , C and D are constants.

Therefore, The partial decomposition of the expression \(\frac{8x^{4} +3x^{3}-115x^{2} -39x + 200 }{3x(x^{2} -10)^2}\) will be;

⇒ \(\frac{A}{3x} + \frac{Bx + C }{x^{2} -10} + \frac{Dx + E}{(x^{2} -10)^2}\)

Option 4 is true.

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Lihle would need 30 liters of milk to make 120 cupcakes.

To determine the amount of milk Lihle needs to make 120 cupcakes, we can calculate the total milk requirement by multiplying the milk quantity per cupcake by the number of cupcakes.

Given that the recipe requires 250 milliliters (ml) of milk per cupcake, we can proceed with the calculation:

Convert milliliters to liters:

Since there are 1,000 milliliters in a liter, we divide 250 ml by 1,000 to get the milk quantity per cupcake in liters, which is 0.25 liters.

Multiply the milk quantity per cupcake by the total number of cupcakes: Multiply 0.25 liters (milk per cupcake) by 120 cupcakes.

0.25 liters/cupcake \(\times\) 120 cupcakes = 30 liters.

Therefore, Lihle would need 30 liters of milk to make 120 cupcakes in a US curriculum class.

It's important to note that this calculation assumes the given milk requirement of 250 milliliters per cupcake and does not consider any other ingredients or variations in the recipe.

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The complete question may be like: Assuming that the recipe requires 250 milliliters (ml) of milk per cupcake, how many liters of milk does Lihle need to make 120 cupcakes in a US curriculum class?

Step-by-step explanation:

A car is on a slope of 10degree above the horizontal . a force 1000N is applied to the car up the line of the slope. the car has amass of 500 kg . what is the acceleration of the car

The dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

A box plot, sometimes called a box whisker plot, shows the distribution of a dataset graphically. The minimum value, the first quartile (25th percentile), the median (50th percentile), the third quartile (75th percentile), and the maximum value are the five main values used to standardise this method of displaying the distribution of data.

Two whiskers that extend from a rectangular box make up a box plot. The range of values between the first and third quartiles is represented by the box, which is known as the interquartile range (IQR).

From the given box plot we observe that the minimum value is 12 and the maximum value is 24.

Here, the median is 19.

From the information the two data set that have the corresponding values are:

12, 15, 15, 17, 19, 19, 20, 22, 24

12, 15, 17, 17, 19, 19, 22, 22, 24

The lower quartile is 15.

The upper quartile is 21.

Calculating the lower quartile for the data sets:

12, 15, 15, 17, 19, 19, 20, 22, 24

Lower quartile = 15

Hence, the dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

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The solution is,  the domain is: x ∈ (-∞, ∞).

Here, we have,

When we have two functions, f(x) and g(x), the composite function:

(f°g)(x)

is just the first function evaluated in the second one, or:

f( g(x))

And the domain of a function is the set of inputs that we can use as the variable x, we usually start by thinking that the domain is the set of all real numbers, unless there is a given value of x that causes problems, like a zero in the denominator, for example:

f(x) = 1/(x + 1)

where for x = -1 we have a zero in the denominator, then the domain is the set of all real numbers except x = -1.

Now, we have:

f(x) = x^2

g(x) = x + 9

then:

(f ∘ g)(x) = (x + 9)^2

And there is no value of x that causes problems here, so the domain is the set of all real numbers, that, in interval notation, is written as:

x ∈ (-∞, ∞)

(g ∘ f)(x)

this is g(f(x)) = (x^2) + 9 = x^2 + 9

And again, here we do not have any problem with a given value of x, so the domain is again the set of all real numbers:

x ∈ (-∞, ∞)

(f ∘ f)(x) = f(f(x)) = (f(x))^2 = (x^2)^2 = x^4

And for the domain, again, there is no value of x that causes a given problem, then the domain is the same as in the previous cases:

x ∈ (-∞, ∞)

(g ∘ g)(x) = g( g(x) ) = (g(x) + 9) = (x + 9) +9 = x + 18

And again, there are no values of x that cause a problem here,

so the domain is:

x ∈ (-∞, ∞)

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complete question:

Consider the following functions. f(x) = x2, g(x) = x + 9 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notat

Answer:

56

Step-by-step explanation:

We know that every triangle no matter will equal 180 degrees. So we will make an algebreic expression.

2x+8+60=180

When doing algebreic expression we want to simply as much as possible to find our answer. First we will do 60-180. Since the expression is adding 60 we want to do the opposite and subtract is by 60 on both sides. SO now we have 2x+8=120. We do the same thing with 8. Subtract it on  both sides since its adding in the expression. Now we have 2x=112. FInally, we will divide by two on both sides since its multiplying on the other side of the equation. So now we are left with x=56.

Answer:

According to the Central Limit Theorem, the sampling distribution of sample means would have a mean of 5.4 years.

Step-by-step explanation:

For a normally distributed random variable X, with mean and standard deviation, the sampling distribution of sample means with size n can be approximated to a normal distribution with mean and standard deviation.

As long as n is at least 30, the Central Limit Theorem can also be applied to skewed variables.

We have the following problem:

Answer:

Step-by-step explanation:

The mean of the sampling distribution of sample means can be calculated using the formula:

μM = μ

where μ is the population mean and M is the sample mean.

Thus, μM = μ = 5.4 years.

Therefore, the mean of the sampling distribution of sample means would also be 5.4 years.

Answer: number 14 is 30.78 x 10 to the exponent of 11

Step-by-step explanation:

you multiply 8.1 and 3.8 together which would equal 30.78 and you add the exponents together since they are being multiplied.

In a case whereby the metal piece has four ridges of equal size on the top. The width of the piece is 3cm the volume of the work is \(450cm^3\)

Based on the provided fiqure, we will need to find te volume of the rectangle, then substract from th volume of the four triangular prism

The volume of the rectangle can be epresed as ;

2*3*10 = \(600cm^3\)

The volume of the four triangular prism can be expressed as

20/4 = 5cm          10-5= 5cm

\(1/2 * 5 * 5*3*4 = 150cm^3\)

\(600- 150 =450 cm^3\)

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After solving the quadratic equation, the roots are (x - 2) and (x + 7).

To determine values for various parameters, quadratic functions are employed in a variety of engineering and scientific disciplines. A parabola is used to graphically illustrate them.

The direction of the curve is determined by the highest degree coefficient. Quadratic is a derivative of the term quad, which signifies square.

As per the given equation in the question,

x² + 5x - 14 = 0

b² - 4ac

5² - 4(1)(-14)

25 + 56 = 81

Use the equation,

-b ± \(\sqrt{b^2-4ac}/2a\)

Substitute the values,

(-5 + 9)/2 = 2 and,

(-5 - 9)/2 = -7

Therefore, the root will be (x - 2) and (x + 7).

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Answer:

Step-by-step explanation:

Rate per sec = 100 ÷ 9 = 11.111

1 min and 2 sec = 3600 + 2sec = 3602 sec

Metre = 324.21 metre

The rate of decrease of the weather in degrees per hour is 2 degrees.

The time elapsed is from 5:00 PM to 9:00 PM, which is 4 hours.

The temperature dropped from 20 degrees to 12 degrees, which is a change of -8 degrees.

Therefore, the rate of decrease of the weather in degrees per hour is:

-8 degrees / 4 hours = -2 degrees per hour

A measurement of how quickly the temperature changes over time is the rate of change. Depending on the time frame being considered, it is typically represented in units of degrees per hour, degrees per minute, or degrees per second. Depending on whether the temperature is rising or falling, the rate of temperature change can be either positive or negative. The temperature rises when the rate of change is positive; it falls when the rate of change is negative.

Many variables, including the amount of sunlight, wind speed, humidity, and the time of day, have an impact on the pace of temperature change. Generally speaking, temperature varies more quickly during the day than it does at night, and it varies more quickly in places with less foliage and more exposed ground. Human activity, such as the emission of greenhouse gases into the atmosphere, which can eventually lead to an increase in global temperatures, can also have an impact on the pace of change of temperature.

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