9. Max's monthly electricity budget only allows him to use 250,50 kWh (kilowatt-hours). The cost for 1 kWh is R2,20. Calculate the cost of his electricity bill.​

Answer:

one equation would be S+ L=36for the number of shirts sold.

Answer: 64 short-sleeved shirts were purchased.

Step-by-step explanation: (x = short-sleeved shirts. y = long-sleeved shirts.)  

x + y = 100

10x + 12y = 1072

—12(x + y = 100) >>> -12x - 12y = -1200                                                                                                           10x + 12y = 1072 (add the equations and cancel out the 12y)

-2x/-2 (-2 cancels out) = -128/-2   (divide both by -2)

x = 64 shirts purchased for $10 each.   (Hope this helped!)

(vvvThis next part doesn’t answer the question, but I should finish the equation.)

(Plug in 64 for x)>>> 64 + y = 100 (then, subtract 64 from both sides) >>> 64 - 64 = 0 (they cancel out) and 100 - 64 = 36

y = 36 shirts purchased for $12 each.

I really hope this helped! :)

Answer:

\(\displaystyle \frac{dy}{dx} = -40x \sin (5x^2) \cos^3 (5x^2)\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 \(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle y = \cos^4 (5x^2)\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

90

Step-by-step explanation:

The word perpendicular means there is a right angle that is 90°

Sampling bias occurs when some members of a population are systematically more likely to be selected in a sample than others. From this definition,

For sample 1, Every fifth person who enters Little Casesars Arena for a Red Wings game. This is not biased because no person is more likely to be selected than another

For sample 2, Every tenth name in the phone. This is also not biased

because no person is more likely to be selected than another

Answer:

√6/2+1

Step-by-step explanation:

multiplying by √6/√6, we get √6(3+√6)/6=(3√6+6)/6=√6/2+1

Answer:

The lateral area is 144 ft^2

The Total surface area is 156ft^2

Step-by-step explanation:

:)

Answer:

6, 12, 144, 156

Step-by-step explanation:

The area of each triangular base is:  A = 1/2(b)(h)  A = 1/2(3)(4)  A =  6  ft2

There are two bases, so total base area is  12  ft2.

The lateral area is:  A = (12)(3)  + 12(5) + 12(4)  A =  144  ft2

The total surface area is 156  ft2.

Answer:

  2.5%

Step-by-step explanation:

You want the percentage below 335 if the distribution is normal with a mean of 555 and a standard deviation of 110, using the empirical rule.

The z-score of 335 is ...

  Z = (X -µ)/σ

  Z = (335 -555)/110 = -220/110 = -2

The empirical rule tells you that 95% of the distribution is between Z = -2 and Z = 2. That is, 5% of the distribution is evenly split between the tails Z < -2 and Z > 2. Half that value is in each tail.

  P(X < 335) = 5%/2 = 2.5%

The percentage of people taking the test who score below 335 is 2.5%.

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Answer: its already in its simplest form its 11/4

Step-by-step explanation:

Answer:

(0,2)

(3,0)

Step-by-step explanation:

answer

The interior angles formed by the sides of a quadrilateral have measures that sum to 360

360-(124×2)

4x=112

x=28

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = 2x + 4 if [-2, 0]

This the sub-function define between the interval [-2, 0].

f(x) = 4 if [0, 2)

This the sub-function define between the interval [0, 2).

f(x) = -2x + 8 if [2, 4)

This the sub-function define between the interval [2, 4).

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The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

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The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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Answer:you would use a demand chart

Step-by-step explanation:

Answer:

C. A demand schedule.

Step-by-step explanation:

The demand curve is a visual representation of how many units of a good or service will be bought at each possible price. It plots the relationship between quantity and price that's been calculated on the demand schedule, which is a table that shows exactly how many units of a good or service will be purchased at various prices.

As you can see in the chart below, the price is on the vertical (y) axis, and the quantity is on the horizontal (x) axis. This chart plots the conventional relationship between price and quantity. The lower the price, the higher the quantity demanded. As the price decreases from p0 to p1, the quantity increases from q0 to q1.

Key words and Phrases:

quantity, price, demand, good, service, demand curve, demand schedule

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Hasan's expressions

d is the original price

0.25 percentage discount

0.25d amount of discount

d - 0.25d sale price of the book

Bella's expressions

d is the original price

0.75 percentage with the discount included

0.75d sale price of the book

Answer:

D. 0.65

Step-by-step explanation:

divide 52 by 80.

52/80 = 0.65

Answer:

it's 0.65

Step-by-step explanation:

to find the percentage you just divide the successful outcomes by the amount of tries.

52 / 80 is 0.65

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

g(x)=x-2/x^2-9

If there is more than one value, separate them with commas.

Step-by-step explanation:

Answer:

picture of graph filled in is attached.

Answer:

The lines do NOT intercept, then there is NO SOLUTION to the system

Step-by-step explanation:

Notice that the two lines given have the SAME slope (-3/2) and different y-intercepts. Therefore, when we graph them we are going to obtain two parallel lines (lines of the SAME slope) crossing the y-axis at different points.

We use for the first line two points like: (0, -1) and (2, -4)

and for the second line, the points (0, 3) and (2, 0)

The lines are plotted in the attached image.

Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

Answer:

Step-by-step explanation:

cosT = 4/10 = 2/5

cos^-1(T) = 66.42

Answer:

2is the answer for the question

Answer:

see below

Step-by-step explanation:

Part A

We can shift f(x) to the left or shift it up

Part B

f(x+k) for a shift to the left

f(x) + k for a shift up

Part C

Looking at shifting f(x) to g(x) by going left, we are shifting 6 units to the left

f(x+6) will shift f(x) 6 units to the left

g(x) = f(x+6)

We can all shift f(x) up, we can shift up 18 units

f(x) +18 will shift the function up 18 units

g(x) = f(x) +18

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

what grade is this

Step-by-step explanation:

and just ask the teacher for help but I'mma help u hol up

Answer:

y=2x+4

Step-by-step explanation:

True 6. If the obtained sample data (test statistic value) falls inside the critical region, it provides support for the researcher's hypothesis.

True 7.  When the Z-test statistic, obtained from the sample data, falls inside the critical region, it indicates that the observed result is unlikely to have occurred by chance alone under the assumption of the null hypothesis. Therefore, we reject the null hypothesis and accept the alternative hypothesis.

True 8. If the obtained sample data (test statistic value) is not in the critical region, it means that the observed result is likely to have occurred by chance under the assumption of the null hypothesis. hypothesis.

True 9. Failing to reject the null hypothesis means that the data do not provide sufficient evidence to conclude that the treatment or independent variable had a significant effect on the dependent variable.

True 10.  Whenever the statistical decision is to fail to reject the null hypothesis, there is a possibility of making a Type I error.

6. The critical region is determined based on the desired level of significance and contains the extreme values that would lead to rejecting the null hypothesis.

7. When the Z-test statistic, obtained from the sample data, falls inside the critical region, it indicates that the observed result is unlikely to have occurred by chance alone under the assumption of the null hypothesis. Therefore, we reject the null hypothesis and accept the alternative hypothesis.

8. In this case, we do not have sufficient evidence to reject the null hypothesis, and the correct statistical decision is to "fail to reject" the null

9. It does not necessarily mean that the treatment had no effect, but rather that the evidence in the sample is not strong enough to support such a claim.

10. Type I error refers to rejecting the null hypothesis when it is actually true. The probability of committing a Type I error is denoted by the significance level (usually denoted as alpha) and is predetermined before conducting the statistical test.

In summary, the statements are all true. The critical region plays a crucial role in hypothesis testing, and the decisions made based on the test statistic falling inside or outside the critical region determine whether the null hypothesis is rejected or failed to be rejected.

Failing to reject the null hypothesis does not provide sufficient evidence to support the researcher's hypothesis and there is always a possibility of making a Type I error when conducting hypothesis tests.

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