find the price of 1 marker if 5 markers cost $15

Answer:

14

equivalent

Step-by-step explanation:

x=2

2(3(2)+1)=

2(6+1)=

2(7)=

14

equivalent

Answer:

$805,000

I didn't provide a step-by-step explanation, but if I need to just comment onto my answer and I will provide one.

Hope this helps!

Let me know if you have anymore questions. I would be happy to help.

Answer:

y+4=-2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-4)

y+4=-2(x-4)

Answer:

Step-by-step explanation:

The given equation is not instandard form. First standard form is neccesary.

The result is 3x + 108 = 12y which is equal to 12y = 3x + 108

The slope is represented in this form as m (Y = mx + b)

(with b as the initial value)

Therefore, 3 is the slope.

To find its perpendicular slope.

To find it's perpendicular, know that it is the negative reciprocal.

FInally, the slope perpendicular to the line whose equation is 3x - 12y = -108 is \(\frac{1}{-3\\}\)

Answer:

Step-by-step explanation:

Lets take 4905 and 802

Firstly to figure out which of these two numbers is bigger we first look at the highest place value that either one of these two numbers have

In this case its 4 in the thousands place in the number 4905

Next we look at which number 802 has in the thousands place

In this case there is no number or 0

4 is bigger than 0 so we know that 4905 is bigger than 802

Lets take another example

4905 and 8204

Here both numbers have a number in the thousands place on is 8 and the other is 4

8 is bigger than 4 so 8204 must be larger

I'm just saying comparing integers should come very easily and you really don't need to think much to figure this out

I'm guessing you mean how do you compare numbers which are non-integers like 4/6 or  4/5  and this is quite easy

There are multiple ways but one method is to just multiply the denominator of one fraction with the numerator of the other and do the same for the other fraction

lets take 4/6 and 4/5

4*5=20

and 4*6= 24

4/6 we can assign 20

and 4/5 is 24

the bigger number is 24 so 4/5 is bigger

Answer:

-----------------------------------------

When the cannonball lands the height h is zero.

Set the value of the function as zero and solve for t:

The greater value of t represents the time we need.

factor the right side of the formula A = 2πrx² + 2πrh, we can factor out 2πr from both terms:A = 2πr(x² + h)

What is cylinder?

A cylinder is a three-dimensional geometric shape that consists of two parallel circular bases of the same size and shape, and a curved lateral surface connecting the bases.

To factor the right side of the formula A = 2πrx² + 2πrh, we can use the distributive property of multiplication. We can factor out the common factor of 2πr from both terms in the expression, leaving us with 2πr times the sum of x² and h. This gives us the factored form A = 2πr(x² + h). This expression represents the surface area of a cylinder in terms of its radius (r) and height (h).

Factoring the right side of the formula in this way can simplify calculations and help us better understand the relationship between the variables in the formula.

Therefore, to factor the right side of the formula A = 2πrx² + 2πrh, we can factor out 2πr from both terms:A = 2πr(x² + h)

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The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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The given function has an absolute minimum value equal to -2, which is attained at x = 0, and an absolute maximum value equal to -2, which is attained at x = 2.

This is a constant function, and as such, the values it takes don't depend on the input.

The smallest value is -2, and it is attained at x = 0 since it is the only x value in the domain. Any other x values, if they exist, won't affect the output since it will remain -2.

Similarly, the largest value of the function is -2, and it is attained at x = 2 since it is the only x value in the domain.

Let's verify this using the formal definition of absolute maxima and minima:

A function f has an absolute maximum at c if f(c) ≥ f(x) for all x in the domain of f. A function f has an absolute minimum at c if f(c) ≤ f(x) for all x in the domain of f.The domain of f is [0, 2]. The only possible candidates for an absolute maximum and minimum are 0 and 2 since f(0) = f(2) = -2.

If x = 0, f(x) = f(0) = -2 ≤ f(x) for all x in [0, 2]. Hence, f has an absolute minimum at x = 0, and the minimum value is f(0) = -2.If x = 2, f(x) = f(2) = -2 ≥ f(x) for all x in [0, 2]. Hence, f has an absolute maximum at x = 2, and the maximum value is f(2) = -2.

To summarize, the given function has an absolute minimum value equal to -2, which is attained at x = 0, and an absolute maximum value equal to -2, which is attained at x = 2. The formal definition of absolute maxima and minima was used.

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To find the constants m and b in the linear function f(x) = mx + b, we can use the given conditions f(7) = 9 and a slope of -3.

The value of f(7) represents the y-coordinate of the point on the line when x = 7. So, substituting x = 7 into the equation, we get 9 = 7m + b.

The slope of a linear function is given by the coefficient of x, which in this case is -3. So, we have m = -3.

Now, we can substitute the value of m into the equation obtained from f(7). We get 9 = 7(-3) + b, which simplifies to 9 = -21 + b.

Solving for b, we find b = 30.

Therefore, the constants for the linear function f(x) = mx + b that satisfy the given conditions are m = -3 and b = 30.

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The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

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Answer:

65°

Step-by-step explanation:

Properties of a triangle:

To solve:

Answer:

the missing angle is 65

Step-by-step explanation:

a whole triangle is 180

subtract the given angles from 180

  180

-   85

----------

   95

subtract the remaining angle

  95

-  30

---------

  65

~hope this helped :3~

Answer:

\(y+6=4(x-1)\) or \(y-6=4(x-4)\)

Step-by-step explanation:

We want to find the equation in point-slope form of the line that passes through the two points (1, -6) and (4, 6).

Recall that point-slope form is given by:

\(y-y_{1}=m(x-x_{1})\)

Where m is the slope.

Find the slope m using the two given points.

\(\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{6-(-6)}{4-1} = \frac{12}{3} = 4\)

Substitute. We can use either point. Using the point (1, -6), we acquire:

\(y-(-6)=4(x-(1))\)

Simplify:

\(y+6=4(x-1)\)

And using the point (4, 6), we acquire:

\(y-(6)=4(x-(4))\)

Simplify:

\(y-6=4(x-4)\)

Answer:ok

Step-by-step explanation:

Answer:

v = 130

Step-by-step explanation:

substitute the given values for u, a and t into the equation

v = 32 + ( 9.8 × 10) = 32 + 98 = 130

The correct option b. 0.004629 for  the probability of observing a 1 three times in a row.

Probability of an event = (Number of favorable events) /   (total number of event).

P(B) = (Event B) / (total number of event).

The number of times the dice are rolled has no bearing on the outcome of the roll.

The likelihood of receiving 1 is 1/6.

The likelihood of obtaining 1 three times in a row is equal to the likelihood of getting 1 the first time, the second time, and the third time.

Receiving 1 three times in succession has a probability;

= 1/6 x 1/6 x 1/6

= 1/216.

As a result, there is a 0.463% chance that you'll get 1 three times in a row.

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The binomial probability model is useful in situations with discrete-valued numerical variables. Hence, the answer is option (a) discrete-valued numerical variables.

The binomial distribution is a probability model that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (e.g., success or failure, heads or tails, etc.).

The binomial distribution can be used to model a wide range of real-world scenarios, such as the number of defective products in a batch of goods, the number of heads in a series of coin flips, or the number of people who respond positively to a survey question.

Therefore, the correct option is (a)  discrete-valued numerical variables.

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At a significance level of 0.05, the sample data is not consistent with the null hypothesis that the proportion of population who would respond "yes" is 0.5. The P-value of 0.0005 is less than 0.05, and also the sample proportion 0.4616 is not in the interval (0.477, 0.523) which we found as 95% Confidence interval.

Therefore, we reject the null hypothesis and conclude that the population proportion of "yes" responses is different from 0.5.

The P-value for a score test for H0: π = 0.5 can be found using the z-score and a standard normal table. The z-score is calculated as

\(z = \frac{x-0.5}{0.5\sqrt{\frac{x-0.5}{n} } }\), that is

z = (x - 0.5) / (√(0.5(1 - 0.5) / n)

where x is the sample proportion of "yes" responses (842 / (842 + 982) = 0.4616), π is the population proportion of "yes" responses, and n is the sample size (842 + 982 = 1824).

\(z = \frac{0.4616-0.5}{0.5\sqrt{\frac{0.4616-0.5}{1824} } }\)

= (0.4616 - 0.5)/ (√(0.5(1 - 0.5) / 1824)

This gives a z-score of -3.28.

To find the P-value, we can use the standard normal table to find the probability of observing a z-score less than -3.28. This P-value is approximately 0.0005, which is less than the commonly used significance level of 0.05. Therefore, we would reject the null hypothesis that π = 0.5.

To construct a 95% confidence interval for π, we can use the formula for a normal approximation interval:

π ± z×(√(π(1-π) / n)) that is

\(\pi \frac{+}{} z\frac{\pi (1 -\pi )}{n}\)

Where π = 0.5, z = 1.96 (for a 95% confidence level), and n = 1824.

This gives a 95% confidence interval of (0.477, 0.523)

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Answer:

The height of the chair is 29 3/4 inches

Step-by-step explanation:

In this question, we are told to calculate or give the height of the chair.

This is directly obtainable from the question. We are told that the height of the chair is 29 3/4 inches

Answer:

Can't see the rest

Step-by-step explanation:

\(7^{2+5+2} =7^{9}\)

\(x^{5-8} y^{12-9}z^{0} =x^{-3} y^{3}\)

\(x^{3+5}=x^{8}\)

\(5^{1} +5^{0} ,(5^{1})^{1},5^{2}/5\)

\(\sqrt[3]{7} ,\frac{7}{7^{2/3} } ,7^{1/6}*7^{1/6}\)

\(625 = 5*5*5*5, 5^{4}\)

\(2^{10} =2*2*2*2*2*2*2*2*2*2=1024\)

Answer:

5,386,830

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(4z+3+3z)=174

7z+3=174/2=87

7z=87-3=84

z=84/7=12

WX=3z=3×12=36 units

Answer:

36 units

Step-by-step explanation:

\(2(4z + 3 + 3z) = 174 \\ \\ (7z + 3) = \frac{174}{3} \\ \\ 7z + 3 = 87 \\ \\ 7z = 87 - 3 \\ \\ 7z = 84 \\ \\ z = \frac{84}{7} \\ \\ z = 12 \: \\ \\ WX = 3z \\ \\ WX \: 3 \times 12 \\ \\ WX = 36\: units\)

To determine whether the vectors (-2,1,-1) and (0,3,1) are parallel, we need to compare their direction. If they have different directions, they are not parallel. the correct answer is option c) Not parallel.

To check if two vectors are parallel, we can compare their direction vectors. The direction vector of a vector can be obtained by dividing each component of the vector by its magnitude. In this case, let's calculate the direction vectors of the given vectors.

The direction vector of (-2,1,-1) is obtained by dividing each component by the magnitude:

Direction vector of (-2,1,-1) = (-2/√6, 1/√6, -1/√6)

The direction vector of (0,3,1) is obtained by dividing each component by the magnitude:

Direction vector of (0,3,1) = (0, 3/√10, 1/√10)

Comparing the direction vectors, we can see that they are not equal. Therefore, the vectors (-2,1,-1) and (0,3,1) are not parallel. Hence, the correct answer is option c) Not parallel.

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The base and exponent of −2^4 are

Base: -2

Exponent: 4

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

-2^4

In the expression -2^4, -2 is the base and 4 is the exponent.

The base is the number that is being multiplied by itself and the exponent is the number of times the base is being multiplied by itself.

In this case the base is -2 and the exponent is 4.

So the expression -2^4 means -2 multiplied by itself 4 times.

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Answer:

Step-by-step explanation:

Given that 5 miles is 8 km, convert 19.2 km to miles

5 : 8 = x : 19.2

x = 5 * 19.2 : 8

x = 12

------------------

check

5 : 8 = 12 : 19.2

0.625 = 0.625

the answer is good

Answer:

4/3 or 1 1/3

Step-by-step explanation:

The line of best fit for the data that is present is Line C. Option C

We have to note that the graph is one of the means by which we can be able to present information. We know that the information that we present in the graph model would have to axes. It would have the x axis and it would have the y axis.

Now, we know that the plot of the graph is going to result in data points on the graph and the data points on the graph are the points that we can be able to use determine which of the lines would be the line of best fit of the data that we have.

Looking up the models that we have we can see that the best line would have a line that fit into most of the points that occur in the graph and would be the best regression line.

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volume of a pyramid = length x width x height  

                                              3

because a square has the same length and width, length = width = side  

volume of a pyramid = side x side x height

                                          3

volume of a pyramid = side² x height

                                         3

We know the volume of the pyramid is 120 cubic meters, and the height is 10 meters, so:  

120 = side² x 10

             3

multiply both sides by 3

360 = side² x 10

divide both sides by 10  

36 = side²

square root both sides

6 = side

A side length of the base is 6 meters.