What is the slope of the line shown in the graph?
A)
0
B)
undefined
C) -3
D)- -1/3

Answer:

Step-by-step explanation:

We know a triangle adds up to 180 so:

75+36+ ? = 180

111+ ? =180

? = 69

To find out x, we know that a straight line adds up to 180 so again:

x +69 = 180

x = 111

Answer:

let the untitled angle be y.

y+75°+36°=180°[by angle sum property]

y+111°=180°

y=180°-111°

y=69°

x+69°=180°[by linear pair]

x=180°-69

x=111°

In order to test the given hypothesis, we need to compare the test statistic (Z) with the critical value (Z alpha), where alpha is the level of significance. Since the alternative hypothesis states that mu1 - mu2 is greater than 0, we are interested in the right-tailed test.

This means that we need to find the critical value for the upper tail area under the standard normal distribution, which corresponds to the level of significance.

The null hypothesis will be rejected if the test statistic (Z) is greater than the critical value (Z alpha). Therefore, the correct option is (b) > = z alpha. This means that if the calculated value of Z is greater than or equal to the critical value of Z alpha, we can reject the null hypothesis in favor of the alternative hypothesis at the given level of significance.

It's important to note that the value of sigma is known in this case, which means that we can use the standard normal distribution to calculate the critical value and the test statistic. In summary, we reject the null hypothesis if Z is greater than or equal to the critical value Z alpha, which corresponds to the level of significance alpha for a right-tailed test.

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The labelled parts of the graph is added as an attacment

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a quadratic graph and we can label them using the following keys

Using the above as a guide, we have the following points

Minimum = (0.5, -2.5)

x-intercepts = (2, 0) and (-1, 0)

y-intercept = (0, -2)

See attachment for the labelled graph

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The tension in the string connecting blocks 2 and 3 depends on the masses of the blocks and the acceleration of the system.

The tension in the string is determined by the net force acting on block 2. Since block 3 is on a smooth table with negligible friction, the only horizontal force acting on block 2 is the tension in the string. According to Newton's second law, the net force on an object is equal to the mass of the object multiplied by its acceleration. In this case, the acceleration of the system is determined by the weight of block 2 and block 3 and the force of static friction between block 1 and the floor. By considering the forces acting on block 2, we can set up an equation using the relationship between tension and the mass and acceleration of block 2 to solve for the tension in the string.

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"What is the significance of the invention of the printing press in the 15th century, and how did it impact the spread of knowledge and information during that time?"

The relationship between the number x of days and the total cost represent as piecewise function.

f(x) = -x < 0

      = x if x ≥ 0

The bike store charges $20 for the first day and $15 for each additional day. The relationship between the number x of days and the total cost represent as:

f(x) = 20 , if 0 < x ≤ 1

      = 35,  if 1 < x ≤ 2

      = 50,  if 2 < x ≤ 3

      = 65,  if 3 < x ≤ 4

The absolute value function f(x) = |x| can be written as a piecewise function.

f(x) = -x < 0

      = x if x ≥ 0

Piecewise functions: A piecewise function is made up of two or more functions, each defined on a specific domain. Piecewise functions follow the following format:

f(x)    ⇒ -x,   x < 0

               ⇒  0,  x = 0

                ⇒ x,  x > 0

The piecewise function above is the absolute value function. As you can see, piecewise functions include:

A curly bracket to indicate that the function is comprised of more than one subfunction

The subfunctions that make up the piecewise function

The subdomains corresponding to each subfunction

The domains of the subfunctions cannot overlap, but one function can end where another starts. If different functions were part of the same domain, the piecewise function would not be a function anymore!

To graph a piecewise function, graph each subfunction at the indicated domain. Be wary of the inequality symbols (< , ≤ , > , ≥) and whether they include or exclude the end of the subdomain. If they include the domain, draw a point and fill it in. If they exclude the domain, draw a point but do not fill it in.

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Answer: 18

Step-by-step explanation:

According to the question the area of the smaller rectangle is 0.04 times the area of the larger rectangle.

The surface area of an object is the sum of all the shapes that make up its surface. This kind of rectangle's area is calculated by multiplying its length and breadth.

Given,

To solve this problem, we first need to find the length of the larger rectangle, which we can do using the fact that the two rectangles are similar, meaning their corresponding sides are in proportion.

We can set up a proportion using the widths of the two rectangles:

12 cm / 15 cm = 6000 mm / x

where x is the length of the larger rectangle in millimeters.

We could cross-multiply and simplify to find x's value:

12 cm * x = 15 cm * 6000 mm

x = (15 cm * 6000 mm) / 12 cm

x = 7500 mm

So the length of the larger rectangle is 7500 mm.

To determine the scale factor used to enlarge the smaller rectangle, we can divide the corresponding sides of the two rectangles. Since we know the width of the smaller rectangle is 12 cm and the width of the larger rectangle is 6000 mm (which is equivalent to 60 cm), we can set up the proportion:

12 cm / 60 cm = 1/5

So the scale factor used to enlarge the smaller rectangle is 1/5 or 0.2.

Finally, we can find the relationship between the areas of the two rectangles by using the fact that the ratio of the areas of two similar shapes is equal to the square of the scale factor. In this case, the scale factor is 0.2, so:

Area of smaller rectangle / Area of larger rectangle = (0.2)^2

Area of smaller rectangle / Area of larger rectangle = 0.04

Therefore, the area of the smaller rectangle is 0.04 times the area of the larger rectangle.

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Answer:

first distribute:

3x+6=5x-7

then combine the x's:

-2x+6=-7

get rid of the 6:

-2x=-13

divide the 2:

6.5

Step-by-step explanation:

Answer:

x = 13/2

Step-by-step explanation:

A recursive definition of a function cwi (I0) that returns a set of companies that have at least one investor in set I0 is provided below in pseudocode. The base case is when there is only one investor in the set I0.

The base case involves finding the companies that the investor owns and returns the set of companies.The recursive case is when there are more than one investors in the set I0. The recursive case divides the set of investors into two halves and finds the set of companies owned by the first half and the second half of the investors.

The recursive case then returns the intersection of these two sets of def cwi(I0):

companies.pseudocode:

   if len(I0) == 1:

       i = I0[0]

       return [c for (j, c, n) in ICN if j == i and n > 0]

   else:

       m = len(I0) // 2

       I1 = I0[:m]

       I2 = I0[m:]

       c1 = cwi(I1)

       c2 = cwi(I2)

       return list(set(c1) & set(c2))

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Answer:

3:00

Step-by-step explanation:

Answer:

280 Pineapple Slices

Step-by-step explanation:

To set this up, we put the fraction 7/3 next to our assumed fraction, x/120. X being the number of pineapple slices in the shopping bag.  Then, we multiply 7 x 120 (840) and divide that by 3. Our answer comes out to 280, which we can prove by seeing that 3 x 4 = 120 and 7 x 4 = 280. This is also a similar way to solve the problem.

Answer:

\(\frac{25}{144}\) ft

Step-by-step explanation:

We can find the area by multiplying 2 sides together

Multiply \(\frac{5}{12}\)  × \(\frac{5}{12}\) to find the area

\(\frac{5}{12}\) × \(\frac{5}{12}\) = \(\frac{25}{144}\)

The area of the coaster would be \(\frac{25}{144}\) ft

Answer:

$600 overall

Step-by-step explanation:

Answer:

$600 more overall

Step-by-step explanation:

i'm great at math

So the minimal transportation cost is $8,700, and it can be achieved by renting 6 buses and 27 vans.

Let's start by defining our variables. Let b be the number of buses and v be the number of vans to be rented. We want to minimize the transportation costs, so our objective function is:

C = 1400b + 100v

We also have two constraints:

The total number of students that can be transported cannot be less than 720:

72b + 9v ≥ 720

The total number of chaperones cannot be more than 45:

3b + v ≤ 45

Now we can solve for b and v. Let's solve the second constraint for v:

v ≤ 45 - 3b

Substituting this inequality into the first constraint, we get:

72b + 9(45 - 3b) ≥ 720

Simplifying and solving for b, we get:

b ≥ 6

So we know that we need to rent at least 6 buses. Since we cannot rent a fraction of a bus or van, b must be an integer. Let's try b = 6 and see if it satisfies the second constraint:

3(6) + v ≤ 45

v ≤ 27

Since v must also be an integer, the largest integer that satisfies this inequality is v = 27. Now we can calculate the total cost:

C = 1400(6) + 100(27) = 8700

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Answer:

Step-by-step explanation:

468 ÷ 3

= 156

hope u liked the answer :)

Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

Answer: the letter B.

Answer:

one (Roman numeral one)

Step-by-step explanation:

Because the line goes straight like she is climbing up the hill at a steady pace then boom! all of a sudden she is falling down the hill and gaining major amounts of momentum causing the line to go up as she gets faster and faster.

Step-by-step explanation:

BU = AU (Given)

BU = AU = 5 cm

BA = AU + BU

BA = 5 + 5

BA = 10 cm

CT = TA (Given)

CT = TA = 4 cm

AC = CT + TA

AC = 4 + 4 = 8 cm

CV = VB (Given)

CV = VB = 3 cm

CB = CV + VB

CB = 3 + 3 = 6 cm

Now,

Perimeter of ∆ABC = 10 + 8 + 6 = 24 cm

Answer:

Step-by-step explanation:

See the statements and reasons below:

Answer:

m = 12

Step-by-step explanation:

\(-\frac{m}{3} =-4\\\)

→ Multiply both sides by 3

\({-m} =-12\\\)

→ Multiply both sides by -1

m = 12

Answer:

Your answer should be B. $8.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

We need to multiply the numerator and denominator by 3-√5 to rationalize the denominator of the fraction. Therefore, the correct answer is option B

To rationalize the denominator of the fraction 6−2√3+√5, we need to eliminate any radicals present in the denominator. We can do this by multiplying both the numerator and denominator by an expression that will cancel out the radicals in the denominator.

In this case, we can observe that the denominator contains two terms with radicals: -2√3 and √5. To eliminate these radicals, we need to multiply both the numerator and denominator by an expression that contains the conjugate of the denominator.

The conjugate of the denominator is 6+2√3-√5, so we can multiply both the numerator and denominator by this expression, giving us:

(6−2√3+√5)(6+2√3-√5) / (6+2√3-√5)(6+2√3-√5)

Simplifying the numerator and denominator, we get:

(6 * 6) + (6 * 2√3) - (6 * √5) - (2√3 * 6) - (2√3 * 2√3) + (2√3 * √5) + (√5 * 6) - (√5 * 2√3) + (√5 * -√5) / ((6^2) - (2√3)^2 - (√5)^2)

This simplifies to:

24 + 3√3 - 7√5 / 20

Therefore, the correct answer is option B.

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Answer:

-2

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents./ radicals

\(a^{\frac{m}{n} }\) = \(\sqrt[n]{a^{m} }\)

Then

\(4^{\frac{1}{7} }\) = \(\sqrt[7]{4}\)

\(4^{\frac{7}{2} }\) = \(\sqrt{4^{7} }\)

\(7^{\frac{1}{4} }\) = \(\sqrt[4]{7}\)

\(7^{\frac{1}{2} }\) = \(\sqrt{7}\)

Answer:

(0,3) is the x intercept

(3,0) is the y intercept

Step-by-step explanation:

When it has 0 that means its directly on the line, since x is 0 on (0,3) that means the line is crossing the x intercept

the correct answer is a. likely to be due to true differences between the groups.

If we say we have statistically significant results, it means that the results are likely to be due to true differences between the groups. Statistical significance is a term used in hypothesis testing to determine if the observed differences between groups are likely to be real and not due to chance.

When conducting a statistical analysis, researchers compare the data from different groups or samples to see if there is a significant difference between them. This involves calculating a p-value, which represents the probability of obtaining the observed results if there were no true differences between the groups.

If the p-value is less than a predetermined threshold, typically 0.05, then the results are considered statistically significant. This means that the likelihood of obtaining the observed results by chance alone is very low, and it is more likely that the differences between the groups are due to a real effect.

For example, let's say we conduct a study to compare the effectiveness of two different treatments for a medical condition. If we find that the p-value is less than 0.05, we can conclude that there is a statistically significant difference between the treatments, and the observed improvement in one group is likely to be due to the treatment itself rather than random chance.

In summary, when we say we have statistically significant results, it means that the observed differences between groups are likely to be due to true differences rather than chance. This provides evidence for the presence of a real effect or relationship between the variables being studied.

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Answer:

D

Step-by-step explanation:

2x+6=-3x-14

2x+3x=-14-6

5x=-20

x=-4

Answer:

X = -4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The mass of the thin bar with the given density function rho(x) = 2 + x^4 for 0 ≤ x ≤ 1 is 2.2 units.

To find the mass of the thin bar with the given density function rho(x)

= 2 + x^4 for 0 ≤ x ≤ 1, we can use the formula:m

= ∫[a, b]ρ(x)dx

where ρ(x) is the density function, m is the mass, and [a, b] is the interval of integration.Given:

ρ(x)

= 2 + x^40 ≤ x ≤ 1

To find:

Mass of the thin barSolution:

∫[0, 1]ρ(x)dx

= ∫[0, 1](2 + x^4)dx

= [2x + (x^5/5)] [0, 1]

= [(2 × 1) + (1^5/5)] - [(2 × 0) + (0^5/5)]

= 2 + (1/5) - 0

= 2 + 0.2

= 2.2.

The mass of the thin bar with the given density function rho(x)

= 2 + x^4 for 0 ≤ x ≤ 1 is

2.2 units.

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A variable without a clear operational definition can greatly impact the accuracy and reliability of statistics performed on it. To ensure accurate and meaningful results, it is important to have clear, well-defined variables in any research study.

The lack of a clear definition can lead to inconsistencies in data collection, making it difficult to accurately interpret and analyze the results.

Step 1: When a variable has no clear operational definition, researchers may measure or interpret it in different ways, leading to inconsistencies in data collection.

Step 2: These inconsistencies can affect the reliability and validity of the collected data, which in turn impacts the accuracy of the statistical analysis performed.

Step 3: As a result, the findings from such analyses may not accurately represent the true relationships or patterns within the sample or the population, leading to incorrect conclusions.

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Answer:

2.25 seconds.

Step-by-step explanation: