The function f(x) = 40sin(0.1x + 12) + 50 represents the number of items, f(x), made in a factory each day for x days. The data used to generate the function was collected over 90 days.

Graph the model, and then use the graph to determine on which day each event occurred.

The first day production exceeds 70 items is day


The last day in the first cycle that production exceeds 70 items is day
.

Answer:

Step-by-step explanation:

A minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

Therefore, a minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

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Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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The simplest form in fraction will be 20666667/1000000 that can be find out using decimal and fraction relation.

How to convert decimal to fraction?

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value.

For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10.

Steps :
1. Write down the decimal divided by 1, like this: decimal/1

2. Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

3. Reduce the fraction.

In given que 2.0666667 ,

7 decimal points are here.

so, equation will be 20666667/10^7

i.e. 20666667/10000000.

As both no. is indivisible to each other

So this is the simplest from.

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Answer:

its x^3 or 1

Step-by-step explanation:

there's nothing else you can do with it

also it might be 1 because x by itself is 1 so x^3 is considered  1^3

Answer:

5/100 x 300=15

300-15=285

Answer:

Step-by-step explanation:

A= 1/2 b h    b=6   h=2.5

= 7.5

Answer:

7.5 inches squared

Step-by-step explanation:

If only distances are provided, there are two methods to find the area of a triangle.  Which method to use depends on which lengths are provided:

Method 1: Base * Height

For any triangle, a line segment from one vertex that terminates perpendicularly to the leg across from it is considered a "height," and the leg that the "height" intersects is "base".  If both quantities are known, then the area of the triangle is base times height divided by 2 (sometimes stated as 1/2 times base times height).

In an equation format: \(Area_{triangle}=\frac{1}{2}base*height\), often abbreviated as \(A_{triangle}=\frac{1}{2}bh\)

For this example, the base at the bottom "6 in" has a corresponding height of "2.5 in", so

\(A_{triangle}=\frac{1}{2}(2.5~\text{in})(6~\text{in})\)

\(A_{triangle}=7.5\text{ in}^2\)

Method 2: Heron's Formula

If you are not provided any of the heights, but only the three legs of the triangle, Heron's formula provides a method of finding the area of the triangle.  It is significantly more complicated, and should only be used if one doesn't have one of the heights given.

Heron's formula gives the area of a triangle using the following formula:\(A=\sqrt{s(s-a)(s-b)(s-c)}\) where a, b, and c, are the side lengths of the triangle, and "s" is the "semi-perimeter" (one half of the perimeter) of the triangle: \(s=\dfrac{a+b+c}{2}\)

To be consistent, let's let a=3 in, b=5 in, and c=6 in.

Calculating the semi-perimeter of the given triangle first:

\(s=\dfrac{a+b+c}{2}=\dfrac{(3~\text{in})+(5~\text{in})+(6~\text{in})}{2}=\dfrac{14~\text{in}}{2}=7~\text{in}\)

Calculating the area:

\(A=\sqrt{s(s-a)(s-b)(s-c)}\)

\(A=\sqrt{(7~\text{in})((7~\text{in})-(3~\text{in}))((7~\text{in})-(5~\text{in}))((7~\text{in})-(6~\text{in}))}\)

\(A=\sqrt{(7~\text{in})(4~\text{in)(2~\text{in})(1~\text{in})}\)

\(A=\sqrt{56~\text{in}^4}\)

\(A=7.48331477355...~\text{in}^2\)

\(A\approx7.5~\text{in}^2\)

Side note:  The 2.5 inches that they gave you in the problem isn't exactly 2.5 inches.  They rounded to one decimal place there.

The square root of the quantity x plus 7 end quantity minus 1 equals x=2.

To find the square root:

Check for extraneous solutions:

Therefore, the square root of the quantity x plus 7 end quantity minus 1 equals x = 2.

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The correct question is given below:
The square root of the quantity x plus 7 end quantity minus 1 equals x

The sequence an=\((-1)^n/n+11\) converges and the limit is zero. The correct option is e.

The given sequence is a_n = \((-1)^n / (n + 11)\). To determine whether this sequence converges or diverges, we can apply the limit test. We need to find the limit of a_n as n approaches infinity:

lim (n→∞) \((-1)^n / (n + 11)\)

Notice that the denominator, n + 11, increases without bound as n approaches infinity. The numerator, \((-1)^n\), oscillates between -1 and 1 for different values of n. Therefore, the overall value of the sequence a_n will approach 0 as n increases.

Since the limit exists, we can conclude that the sequence converges. As we have found the limit to be 0, the correct option is: e) converges to 0

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Based on the questions, 13 guests are attending her best friend’s baby shower.

Firstly, we need to write down the numbers that are already stated in the question.

43 + 9 × х = 160

Secondly, move the x to continue counting.

9x = 160 – 43

Thirdly, calculate the numbers above.

9x = 117

Then, move the X to get the answer.

X = \(\frac{117}{9}\)

Lastly, try to finish the division.

X = 13

In conclusion, the result shows that 13 guests attend Mrs. Wright’s best friend's baby shower.

The above question is about the algebraic word problem.

A word problem is a math question written in a short story scenario. Usually, it is a simple short story that is easy to understand.

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Devon's expression had the greatest value which is 20.

What is an expression?

In mathematics, an expression is a combination of numbers, variables, and operators (such as +, -, ×, ÷, etc.) that represents a mathematical value or relationship. Expressions can be simple or complex, and they can take on many different forms depending on the context.

They are also used to represent real-world problems, and also used to evaluate mathematical expressions to get numerical results.

Step-by-step explanation:

Let's use t=1 to compare all the expressions:

1. -5(12t+9)

if t = 1, -5(12+9) = -5(21) = negative number

2. 2(-6t-8)

if t = 1, 2(-6-8) = 2(-14) = negative number

3. -6(-2t+18)

if t = 1, -6(-2+18) = -6(16) = negative number

4. (-4(-3t-2)

if t = 1, -4(-3-2) = -4(-5) = 20 positive number

Therefore, Devon's expression had the greatest value which is 20.

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Answer:

\(\frac{x}{y}\)45 long

Step-by-step explanation:

The total area of both the triangles is 56.25 square units.

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.

The space occupied by a flat shape or the surface of an object is called area.

Area = (1/2) × base × height

According to the given question.

We have a two triangles, which are similar to each other.

Let the length of the side DE in triangle DEF be x.

Since, ABC similar to DEF

⇒\(\frac{AB}{DE} =\frac{BC}{EF}\)

⇒\(\frac{12}{x} =\frac{6}{4.5}\)

⇒\(\frac{12(4.5)}{6} = x\)

⇒\(2(4.5)=x\)

⇒ \(x = 9\)

Now, area of triangle ABC = \(\frac{1}{2}(6)(12)=36 square units\)

Area of triangle DEF = \(\frac{1}{2} (9)(4.5)= 20.25square units\)

Therefore,

The total area for both the triangles

= 36 + 20.25

= 56.25 square units

Thus option B is correct.

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Answer: C OR 4 a.m. on Wednesday

Step-by-step explanation:

Answer:

If I read the question right, then the answer is -36.5.

Step-by-step explanation:

Like I said, only if I read the question right. I read it as

(-35) - 1.5.

If I'm wrong, then I'm sorry.

The product of (−35)∙(−1). (5) will be 105. It is obtained by multiplying the term one by one.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.

It is given that,

=(−35)∙(−1).5

Multiply the term step by step as

=(−35)∙(−1).5

The multiplication of two negative terms gives a positive value.

=(35)5

=105

Thus, the product of (−35)∙(−1). (5) will be 105. It is obtained by multiplying the term one by one.

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Answer:

\(6 \frac{350}{1000}\) Is the answer, if you want it simplified then, \(6 \frac{7}{20}\)

Step-by-step explanation:

Answer:

\({ \sf{ \underline{answer \: is \: \: 6 \frac{7}{20} }}}\)

Step-by-step explanation:

Hope you got the idea in previous answer.

\(6.350 = \frac{6350}{1000} \)

reduce the fraction by 10:

\( = \frac{6350 \div 10}{1000 \div 10} \\ \\ = \frac{635}{100} \)

then reduce it by 5:

\( = \frac{635 \div 5}{100 \div 5} \\ \\ = \frac{127}{20} \)

in mixed fraction mode:

\( = 6 \frac{7}{20} \)

Answer:

Sum: 315.6974

Rounded to the nearest hundredth: 315.70

Rounded to the nearest thousandth: 315.697

Step-by-step explanation:

First, add 84.0393 and 231.6581 to get a sum of 315.6974.

To round to the nearest hundredth, is the number next to it bigger than 5?

In this case, yes. So you go up.

Basically the same procedure with the thousandths.

Does the number accompanying it go larger than 5?

No.

Answer:

BAC is similar to STR (the last option)

Step-by-step explanation:

Answer:

7 seconds, 6 seconds

Step-by-step explanation:

a) For the object to reach the ground, the height from the ground has to be 0. therefore, let the function h = 0

0 = -16t^2 + 700

the amswers are + or - 6.61

we cant have negative time so it is approximately 7 seconds.

b) for the object to reach a 100 feet, h =100

100 = -16t^2 + 700

0 = -16t^2 + 600

solve: + or - 6.12

therefore it takes approximately 6 seconds to reach 100 feet.

The correct check digit for the UPC code 6-73419-23216- is "3".

The check digit is used to verify the accuracy of the UPC code when it's scanned. It's the last digit of a UPC code and is calculated using a formula based on the first 11 digits.

The formula involves adding up the digits in the odd-numbered positions and multiplying the sum by three, then adding up the digits in the even-numbered positions, and subtracting the second sum from the first sum.

The check digit is then calculated by taking the difference and finding the smallest number that, when added to the difference, is a multiple of 10. The result of this calculation is the check digit.

In this case, the correct check digit is "3".

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The absolute value functions graphed are given as follows:

1. y = |x + 1|.

3. y = |x + 1| - 4.

4. y = 0.5(|x - 1| + 1)

An absolute value function of vertex (h,k) is defined by the following rule:

y = |x - h| + k.

For item 1, the vertex of the function is at point (-1,0), hence h = -1 and k = 0, and the rule is:

y = |x + 1|.

For item 3, the vertex of the function is at point (-1, -4), hence the coefficients are h = -1 and k = -4, and the rule is:

y = |x + 1| - 4.

For item 4, the vertex of the function is at point (1,1), and the function is also vertically compressed by a factor of 0.5, as when x changes by 2, y changes by 1, hence the rule is:

y = 0.5(|x - 1| + 1)

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The correlation coefficient, r, is defined as measuring the direction and Strength of a linear relationship.

The Correlation coefficient (r) is defined as a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables.

A correlation coefficient is a number between -1 and 1 that indicates the strength and direction of the relationship between variables. In other words, it reflects how similar the measurements of two or more variables in the dataset are.

Now, looking at the given statement in the question and comparing with the definitions above, we can say that the missing word is "Strength"

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Based on the results of the study, the conclusion which is valid is There is correlation between the increase in the rate of televised political attack ads since the previous congressional election and the rate of voter dissatisfaction in the observed districts.

The study showed that the rate of voter dissatisfaction in the districts since the previous election cycles is similar to the rate of increase of televised political attack ads.

The fact that both the rate of voter dissatisfaction and televised political attack ads moved together means that they correlate with each other.

It is important to note however, that correlation does not equate causation so there might be no link between the two rates.

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Answer:The y intercept of Function A is greater than the y-intercept of Function B

Step-by-step explanation:

y=4x-4

x--->-2,-1,0,1,2

y---->-13,-9,-5,-1,3

Answer:

Response bias would be something where answers would be skewed one way or another because of the way you asked. So maybe ask something embarrassing for someone to admit, like asking random students if they pick their nose. Some people will answer truthfully as no, and the people who do will likely also say no because they do not want to tell you that.

Answer:

SSS

Step-by-step explanation:

The two triangles both share a side (the middle line), and it is shown that the other lines are congruent to each other. So all 3 sides are congruent, meaning SSS is the postulate that proves this.

Answer:

125 questions

Answer:

125 questions

Step-by-step explanation: