Lydia is painting a concrete slab that is made up of a rectangle and two semicircles, as depicted in the diagram below.

As show in the diagram, the length of the rectangle is 12 cm, and the area of the rectangle is 96
square centimeters.
Which of the following is the closest approximation of the area of the entire concrete slab?
A. 1152 square centimeters
B. 146.3 square centimeters
C. 135.5 square centimeters
D. 79 square centimeters

Add the like terms :

Answer:

ok let me try this again

To explain a markup, let's use an example: Let's say you purchase a box of paper that costs one dollar. You aim for a profit of 50%. By multiplying the cost by 50%, you get $0.50. This is your markup price. Add that to the price that you paid to purchase the box of paper, and now the total is $1.50. This is the selling price of the box of paper. Therefore, your markup percentage is 50%.

did that help i was not a faker though i was just trying to explain it to him/she better and can i have brainlist please

There would be approximately \(1.79 \times 10^{135\) bacteria after 7 hours. This

number is extremely large and is beyond the capacity of most calculators

to handle.

After 30 minutes (0.5 hours), each bacterium will undergo fission and

become two bacteria. Therefore, the number of bacteria will double after

every 30 minutes.

In 7 hours, there are 7 x 2 x 2 x 2 x 2 x 2 x 2 = 7 x 2^6 = 448 bacterial

cycles.

So, the final number of bacteria would be:

\(500 \times 2^{448} = 1.79 \times 10^{135\)

Therefore, there would be approximately 1.79 x 10^135 bacteria after 7

hours.

This number is extremely large and is beyond the capacity of most

calculators to handle.

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Answer:

bro what to find in this question. Hope you understand me

Step-by-step explanation:

Please mark me brainliest thanks

Answer:

the cost of a swimsuit during the end-of-season sale is 21.6 because 40% of 54

b. 21.4

40% of 54 +(-1/5)

c. No because the 60% of 54 is 32.4

Answer:

67.2g of sugar will be needed to make 8 cake

Step-by-step explanation:

8.4g x 8 cake

= 67.2g sugars

Answer:

a: y= -5x

b: y= 2x +3

c: y= -3

d: undefined or x=6

The null hypothesis states that the mean daily consumption of regular-coffee drinkers is equal to or greater than the mean daily consumption of decaffeinated-coffee drinkers. The alternative hypothesis states that the mean daily consumption of regular-coffee drinkers is less than the mean daily consumption of decaffeinated-coffee drinkers.

The null hypothesis (H0) and alternative hypothesis (H1) can be stated as follows:

H0: μ1 ≥ μ2 (The mean daily consumption of regular-coffee drinkers is equal to or greater than the mean daily consumption of decaffeinated-coffee drinkers)

H1: μ1 < μ2 (The mean daily consumption of regular-coffee drinkers is less than the mean daily consumption of decaffeinated-coffee drinkers)

Here, μ1 represents the population mean daily consumption of regular-coffee drinkers, and μ2 represents the population mean daily consumption of decaffeinated-coffee drinkers.

To test these hypotheses, we can conduct a two-sample t-test. We have the sample means, sample sizes, and population standard deviations for both groups. Using these values, we can calculate the test statistic and compare it to the critical value at the 0.010 significance level.

Let's calculate the test statistic:

t = (x1 - x2) / sqrt((s1^2/n1) + (s2^2/n2))

Where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Given the sample means and sample sizes, we can calculate the test statistic. If the test statistic falls in the critical region (i.e., below the critical value), we reject the null hypothesis and conclude that the mean daily consumption of regular-coffee drinkers is less than the mean daily consumption of decaffeinated-coffee drinkers.

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Answer:

The vertex form of the quadratic function, f(x) = a·(x - h)² + k

Step-by-step explanation:

The general form of a quadratic function is given as follows;

f(x) = a·x² + b·x + c

The vertex form of the quadratic function is f(x) = a·(x - h)² + k

Where;

(h, k) = The coordinates of the vertex of the parabola

h = -b/2·a, k = f(h)

\(763 \times 10 {}^{3} = 7.63 \times 10 {}^{5} \)

Answer:

\(\frac{27y^6}{8x^{12}}\)

Step-by-step explanation:

1) Use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3x^{-5+2}{y^3}}{2z^0yx}) ^3\)

2) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3\times\frac{1}{x^3} y^3}{2x^0yx} )^3\)

3) Use Rule of Zero: \(x^0=1\).

\((\frac{\frac{3y^3}{x^3} }{2\times1\times yx} )^3\)

4) use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3y^3}{2x^{3+1}y} )^3\)

5) Use Quotient Rule: \(\frac{x^a}{x^b} =x^{a-b}\).

\((\frac{3y^{3-1}x^{-4}}{2} )^3\)

6) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3y^2\times\frac{1}{x^4} }{2} )^3\)

7) Use Division Distributive Property: \((\frac{x}{y} )^a=\frac{x^a}{y^a}\).

\(\frac{(3y^2)^3}{2x^4}\)

8) Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{(3^3(y^2)^3}{(2x^4)^3}\)

9) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{(2x^4)^3}\)

10)  Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{26y^6}{(2^3)(x^4)^3}\)

11) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{8x^12}\)

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Answer:

\(\displaystyle \frac{27y^{6}}{8x^{12}}\)

Step-by-step explanation:

\(\displaystyle \biggr(\frac{3x^{-5}y^3x^2}{2z^0yx}\biggr)^3\\\\=\biggr(\frac{3x^{-5}y^2x}{2}\biggr)^3\\\\=\frac{(3x^{-5}y^2x)^3}{2^3}\\\\=\frac{3^3x^{-5*3}y^{2*3}x^3}{8}\\\\=\frac{27x^{-15}y^{6}x^3}{8}\\\\=\frac{27y^{6}x^3}{8x^{15}}\\\\=\frac{27y^{6}}{8x^{12}}\)

Notes:

1) Make sure when raising a variable with an exponent to an exponent that the exponents get multiplied

2) Variables with negative exponents in the numerator become positive and go in the denominator (like with \(x^{-15}\))

3) When raising a fraction to an exponent, it applies to BOTH the numerator and denominator

Hope this helped!

Answer:

6

Step-by-step explanation:

To find the average rate of change, we must calculate the slope over the interval -3/2 to 0. We can use the formula below.

f(b) - f(a) / b - a

f(0) - f(-3/2) / 0 - -3/2

1 - -8 / 3/2

9 / 3/2

18/3

6

Brainliest, please!

Answer:

How to graph y=√5 -x is shown in attachment

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

As with any sort of graphing problem, pick values of x and compute the corresponding value of y. Then plot those (x, y) points.

For something like this, it is convenient to choose y and then compute the value of x that goes with it.

 y = 0 = √(5 -x)   ⇒   x = 5 -0² = 5

  y = 1 = √(5 -x)   ⇒   x = 5 -1² = 4

  y = 2 = √(5 -x)   ⇒   x = 5 -2² = 1

  y = 3 = √(5 -x)   ⇒   x = 5 -3² = -4

Once you have plotted the points, draw a smooth curve through them.

\(5 {x}^{4} \)

Step-by-step explanation:

o puede ser 20 en caso x es multiplicar

The manager would need to offer a minimum of 5 entree options to generate more than 365 combinations.

The given scenario of the problem is to create a function that will assist the manager to estimate the number of meals that can be created with a certain amount of entree options, 3 drink choices, and a selection of 2 sides from 6 options.

The aim is to identify the minimum number of entree options needed to create more than 365 meal combinations.For the function, we have the following input: `number of entree options`, 3 drink choices, and a selection of 2 sides from 6 options.

We will use these inputs to calculate the number of meal combinations.

Since we are choosing from 2 different sides, we will have 6 choose 2 or 15 different side options.

The total number of meal combinations will be the product of the number of entree options, 3 drink choices, and the number of side combinations.

Therefore, the function will be;meal_combinations <- function(entrees){ entree_options <- entrees drink_options <- 3 side_options <- choose(6,2) combinations <- entree_options * drink_options * side_options return(combinations)}Using `sapply()`, we will evaluate the `meal_combinations` function for entree option counts ranging from 1 to 12.sapply(1:12, meal_combinations)From the output of sapply(1:12, meal_combinations), we can observe that the minimum number of entree options required in order to generate more than 365 combinations is 5.

Therefore, the manager would need to offer a minimum of 5 entree options to meet his goal.

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Therefore , the solution of the given problem of trigonometry comes out to be -1 is the simplified formula.

Some claim that the fusion of various fields contributed to the development of astrophysics. With the aid of precise mathematical methods, many metric issues can be resolved or the output of a computation can be determined. The scientific investigation of all six fundamental geometric calculations is known as trigonometry. They are known by a number of names and abbreviations, such as sine, variance, angle, and others. (csc).

Here,

Let's first use trigonometric identities to separately simplify each term:

=> cos(x - 90°) equals sin(x)

=>  cos(x - 180°) = -cos(x)

=> tan(x) = cos(x) / sin(x)(x)

=>  x(cos(-)) = x(x)

=> (180° + x) sin = -sin(x)

When we replace the equation with these simplifications, we get:

=> cos(x) * sin(180° plus x) * cos(x) * (-cos(x)) + (sin(x) / cos(x))

=>  sin(180° plus x) * sin(-cos2(x))

=>  -cos²(x) - sin(x)*sin(180° + x) (using the equation sin(x)*sin(x)) = -sin^2(x))

Using the identity sin2(x) +cos2(x) = 1, we get = -1.

Consequently, -1 is the simplified formula.

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\(x^2\) = -16: This equation has no real solutions, because there is no real number whose square is negative. We can see this by recognizing that x^2 is always non-negative for any real number x, so it is impossible for x^2 to equal -16.

x(x+2) = 0: This equation has two solutions, namely x=0 and x=-2. We can see this by using the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. In this case, we have x(x+2) = 0, so either x=0 or x+2=0, which gives x=-2.

(x-3)(x-3) = 0: This equation has one solution, namely x=3. We can see this by using the zero product property again, which tells us that if the product of two factors is zero, then at least one of the factors must be zero. In this case, we have (x-3)(x-3) = 0, so either x-3=0, which gives x=3.

Thus, since we have the factor (x-3) twice, we only count it once as a solution.

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Answer:

250

Step-by-step explanation:

Every number is multiplied by 5

2 x 5 = 10

10 x 5 = 50

50 x 5 = 250

Answer:

96 questions

Step-by-step explanation:

Given that:

Total number of questions = 120

Percentage questions completed = 80%

Number of questions completed =?

Number of questions completed = total number of questions * percentage questions completed

Number of questions completed = 120 * 0.8

Number of questions completed = 96

Answer:

20 ft by 12 ft

Step-by-step explanation:

(10 in x 24) / 12 ft = (240 in / 12 ft) = 20 ft

(6 in x 24) / 12 ft = (144 in / 12 ft) = 12 ft

Answer: Approximately 28 copies per minute.

Step-by-step explanation:

To find the number of copies the machine makes per minute, we need to first convert the time to minutes.

4 minutes and 45 seconds can be written as 4 + 45/60 = 4.75 minutes.

Next, we can divide the total number of copies (133) by the total time in minutes (4.75):133 copies / 4.75 minutes ≈ 28 copies per minute

Therefore, the copy machine makes approximately 28 copies per minute.

Answer:

m = - 4, b = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

y = - 4x - 2 ← is in slope- intercept form

with m = - 4 and b = - 2

Answer:10

i took the same thing got a 100

Step-by-step explanation:

Answer:

the answer is (a) 28.

Step-by-step explanation:

The given situation can be represented by a linear equation of the form:

Cost = mx + b

where "m" is the slope (the rate of change of cost with respect to time), "x" is the number of hours of the tour, and "b" is the y-intercept (the cost when x = 0).

In this case, the y-intercept is $60, which represents the one-time fee. The cost increases by $28 per hour, so the slope is:

m = $28/hour

Therefore, the answer is (a) 28.

The function represented by the table is polynomial function

From the graph, we have the following highlights:

The function that has the above property is a polynomial function

Hence, the function represented by the table is polynomial function

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total number of tickets sold = x + y = 9 + 18 = 27. So, Darius sold 27 tickets altogether.

what is an algebraic expression?

In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations (such as addition, subtraction, multiplication, and division) that represent a quantity.

Let x be the number of children's tickets sold, and let y be the number of adult tickets sold.

From the problem statement, we know that:

The price of a children's ticket is $4.50

The price of an adult ticket is $6.50

The total amount collected is $157.50

The number of adult tickets sold is twice the number of children's tickets sold

Using this information, we can set up the following system of equations:

x + y = total number of tickets sold (equation 1)

4.5x + 6.5y = 157.5 (equation 2)

y = 2x (equation 3)

We can use equation 3 to substitute y in terms of x in equations 1 and 2:

x + 2x = total number of tickets sold (substitute y = 2x from equation 3 into equation 1)

4.5x + 6.5(2x) = 157.5 (substitute y = 2x from equation 3 into equation 2)

Simplifying these equations, we get:

3x = total number of tickets sold (simplifying the left side of the first equation)

17.5x = 157.5 (simplifying the second equation)

x = 9 (dividing both sides of the second equation by 17.5)

Therefore, the number of children's tickets sold is x = 9, and the number of adult tickets sold is y = 2x = 2(9) = 18.

To find the total number of tickets sold, we can add x and y:

therefore, total number of tickets sold = x + y = 9 + 18 = 27

So, Darius sold 27 tickets altogether.

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When applying descriptive statistics to a data set, it is good practice to: Begin by examining the basic characteristics of the data, such as the minimum and maximum values, mean, median, and mode.

This provides an initial understanding of the central tendency and range of the data.

Calculate measures of dispersion, such as the standard deviation and range, to assess the spread or variability of the data points. This helps to understand how closely the data points cluster around the central tendency.

Visualize the data using appropriate graphical representations, such as histograms, box plots, or scatter plots, to gain insights into the distribution and patterns within the data.

Identify and handle any missing or outlier data points that may affect the overall analysis. Missing data can be addressed through imputation techniques, while outliers may require further investigation or treatment.

Summarize the findings using appropriate summary statistics and clear, concise descriptions. This includes presenting measures of central tendency, dispersion, and any other relevant statistics or patterns observed in the data.

Ensure that the results and interpretations are accurate, objective, and meaningful by applying appropriate statistical techniques and avoiding biased or misleading analyses.

Consider the context of the data set and the research question or problem being addressed. Descriptive statistics should be interpreted in relation to the specific context and should not be generalized beyond their scope.

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Yes, the study results require a post-hoc test to be performed.

Since the main analysis, an ANOVA test, showed a non-significant result (F(3,26) = 1.92, p > .05), it may be tempting to conclude that there is no difference among the four groups. However, to ensure the accuracy of the findings, a post-hoc test should be conducted.

A post-hoc test is necessary because it helps to identify if there are any specific pair-wise differences among the groups that were not detected by the initial ANOVA test. Although the overall result may not be significant, there might still be significant differences between specific group pairs.

By conducting a post-hoc test, you can reduce the risk of Type II errors (false negatives) and better understand the underlying relationships between exercise and memory in the study. Some popular post-hoc tests include Tukey's HSD, Bonferroni, and Scheffe tests.

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Answer: D

Step-by-step explanation:

Given our scenario, we know that Rowan collects 4 more than three times the number Mirabelle collects. This means Mirabelle collects 4x. Since Rowan collects 4 more, our final equation is 3x+4.