Given m = 7 and the point (3, -1), which of the following is the point-slope form of the equation

Answer:

2.8m²

Step-by-step explanation:

p = F / A

A = F / p

A = 84 / 30

A = 2.8m²

When constructing a perpendicular bisector of a segment, you should make arcs with the same radius from each endpoint as D. this makes the arcs parallel to the segment

A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector. In other words, a perpendicular bisector divides a line segment into two equal parts by intersecting it at a 90-degree angle.

A line segment known as a perpendicular bisector divides a straight line segment into two congruent or equal segments. At the exact midpoint of the line segment, they divide it. The arcs with the same radius from each endpoint is important as this makes the arcs parallel.

Learn more about segment on:

https://brainly.com/question/2437195

#SPJ1

Answer:

3rd one

Step-by-step explanation:

Let

\(x = 6 + \dfrac1{2 + \dfrac1{6 + \dfrac1{2 + \cdots}}}\)

Then

\(x = 6 + \dfrac1{2 + \dfrac1x}\)

and solving for x gives

\(x = 6 + \dfrac x{2x + 1}\)

\(x = \dfrac{13x + 6}{2x + 1}\)

\(x(2x+1) = 13x + 6\)

\(2x^2 + x = 13x + 6\)

\(2x^2 - 12x - 6 = 0\)

\(x^2 - 6x - 3 = 0\)

By the quadratic formula,

\(x = 3 \pm 2\sqrt{3}\)

but x must be a positive number, so only the positive square root solution is valid.

\(x = 3 + 2\sqrt{3}\)

We identify a = c = 3 and b = 2, so a + b + c = 8.

Answer:

neither when you multiply them you get -3y+15 not 12

hope this helps

have a good day :)

Step-by-step explanation:

The value of the double integration is 7776 after solving and integration. the answer is 7776.

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

It is given that:

Double integration (x + y) dA

y = x²

y² = 216x

y = √216 √x

∫∫(√216 √x +  x²)

After solving:

\(\rm \int _0^{36}\int _0^6\:\left(\sqrt{216}\:\sqrt{x}\:+\:\:x²\right)dxdy\)

=7776

Thus, the value of the double integration is 7776 after solving and integration. the answer is 7776.

Learn more about integration here:

brainly.com/question/18125359

#SPJ1

\(f(x)=2(3)^{x+1} \\\\[-0.35em] ~\dotfill\\\\ f(2)=2(3)^{(2)+1}\implies f(2)=2(3)^3\implies f(2)=2(3^3) \\\\\\ f(2)=2(27)\implies f(2)=54\)

t = total amount of lbs of Tropical dried fruit

m = total amount of lbs of mixed bag

\(\begin{array}{lcccl} &\stackrel{fruit}{lbs}&\stackrel{per~lb}{price}&\stackrel{total}{price}\\ \cline{2-4}&\\ \textit{tropical fruit}&t&1.50&1.5t\\ \textit{regular fruit}&50&0.90&45\\ \cline{2-4}&\\ \textit{mix bag}&m&1.30&1.3m \end{array}~\hfill \begin{cases} t+50=m\\ 1.5t+45=1.3m \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{substituting on the 1st equation}}{1.5t+45=1.3\stackrel{m}{(t+50)}}\implies 1.5t+45=1.3t+65\implies 0.2t+45=65 \\\\\\ 0.2t=20\implies t=\cfrac{20}{0.2}\implies \boxed{t=100}\)

Answer: $60

Step-by-step explanation:

Here is why:

For 20 -word ad it will be $20 because of twice the amount of the 10 word amount. and another $40 for the photo!

And you get $60!

Any Questions

It will cost $54 for an 20 word ad and a photo.

We have Antique Auto News agency which charges $10 for a 10-word classified ad. Each additional word costs $0.40 and for an extra $40, a seller can include a photo in the ad.

We have to determine much would it cost for a 20-word ad with a photo.

Initial count = x

Count increasing per second = 5

Assume that the bacteria count after t seconds is y. Then -

y = x + 5t

for t = 30 ↔ y = 150 + x

According to the question, we have -

Cost of 10-word classified ad → $10

Additional word cost → $0.40

Additional Photo cost → $40

Therefore -

Assume that for a 20-word ad with a photo costs $x.

Therefore -

x = 10 + 0.40 x 10 + 40

x = 10 + 4 + 40

x = 54

Hence, it will cost $54 for an 20 word ad and a photo.

To solve more questions on Amount estimation , visit the link below-

https://brainly.com/question/8158280

#SPJ2

Answer:

\((a)\ \bar x_1 - \bar x_2 = 2.0\)

\((b)\ CI =(1.0542,2.9458)\)

\((c)\ CI = (0.8730,2.1270)\)

Step-by-step explanation:

Given

\(n_1 = 60\)     \(n_2 = 35\)      

\(\bar x_1 = 13.6\)    \(\bar x_2 = 11.6\)    

\(\sigma_1 = 2.1\)     \(\sigma_2 = 3\)

Solving (a): Point estimate of difference of mean

This is calculated as: \(\bar x_1 - \bar x_2\)

\(\bar x_1 - \bar x_2 = 13.6 - 11.6\)

\(\bar x_1 - \bar x_2 = 2.0\)

Solving (b): 90% confidence interval

We have:

\(c = 90\%\)

\(c = 0.90\)

Confidence level is: \(1 - \alpha\)

\(1 - \alpha = c\)

\(1 - \alpha = 0.90\)

\(\alpha = 0.10\)

Calculate \(z_{\alpha/2}\)

\(z_{\alpha/2} = z_{0.10/2}\)

\(z_{\alpha/2} = z_{0.05}\)

The z score is:

\(z_{\alpha/2} = z_{0.05} =1.645\)

The endpoints of the confidence level is:

\((\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\)

\(2.0 \± 1.645 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}\)

\(2.0 \± 1.645 * \sqrt{\frac{4.41}{60}+\frac{9}{35}}\)

\(2.0 \± 1.645 * \sqrt{0.0735+0.2571}\)

\(2.0 \± 1.645 * \sqrt{0.3306}\)

\(2.0 \± 0.9458\)

Split

\((2.0 - 0.9458) \to (2.0 + 0.9458)\)

\((1.0542) \to (2.9458)\)

Hence, the 90% confidence interval is:

\(CI =(1.0542,2.9458)\)

Solving (c): 95% confidence interval

We have:

\(c = 95\%\)

\(c = 0.95\)

Confidence level is: \(1 - \alpha\)

\(1 - \alpha = c\)

\(1 - \alpha = 0.95\)

\(\alpha = 0.05\)

Calculate \(z_{\alpha/2}\)

\(z_{\alpha/2} = z_{0.05/2}\)

\(z_{\alpha/2} = z_{0.025}\)

The z score is:

\(z_{\alpha/2} = z_{0.025} =1.96\)

The endpoints of the confidence level is:

\((\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\)

\(2.0 \± 1.96 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}\)

\(2.0 \± 1.96* \sqrt{\frac{4.41}{60}+\frac{9}{35}}\)

\(2.0 \± 1.96 * \sqrt{0.0735+0.2571}\)

\(2.0 \± 1.96* \sqrt{0.3306}\)

\(2.0 \± 1.1270\)

Split

\((2.0 - 1.1270) \to (2.0 + 1.1270)\)

\((0.8730) \to (2.1270)\)

Hence, the 95% confidence interval is:

\(CI = (0.8730,2.1270)\)

The number written in scientific notation is 1.12 × 10⁻² .

Scientific notation can be used to describe values that are either too large or too little to be conveniently presented in decimal form (typically would result in a long string of digits).

The given number is 4.501795324E⁻⁶

So simplifying we get :

4.501795324E⁻⁶  =  1.11588350 × 10⁻²

Therefore the number written in scientific notation is 1.12 × 10⁻² .

To learn more about scientific notation visit:

brainly.com/question/18073768

#SPJ1

The value of x from the venn diagram if P(T | V) = 1/5 is 16

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

The venn diagram

From the venn diagram, we have the following probability values

P(T | V) = (x - 4)/(3x + x - 4)

Evaluate the like terms

So, we have

P(T | V) = (x - 4)/(4x - 4)

From the question, we have

P(T | V) = 1/5

This means that

(x - 4)/(4x - 4) = 1/5

When evaluated, we have

x = 16

Hence, the value of x is 16

Read more about probability at

https://brainly.com/question/31649379

#SPJ1

Answer:Quantitative data

Step-by-step explanation:

Answer:

Quantitative data

The bulb with the lowest energy usage would be the best choice. We want to find out which bulb would be the best choice for each situation based on the relevant criteria.

A bulb is an electric light source that produces light by heating a filament or a gas inside a sealed glass or quartz container. Bulbs are commonly used in a variety of settings, including homes, offices, factories, and public spaces.

The most common type of bulb is the incandescent bulb, which contains a tungsten filament that is heated by an electric current to produce light. However, incandescent bulbs are not very energy efficient and are being phased out in many countries.

To determine which bulb would be better to use on the factory floor, we need to compare the energy usage measured in kilowatt-hour, of bulb A, bulb B, and bulb C. The bulb with the lowest energy usage would be the best choice.

To determine which bulb would be better to use in the break room, we would need to consider factors such as the brightness, color temperature, and color rendering index (CRI) of each bulb, as well as the personal preferences and needs of the people using the room.

The options for bulbs are incandescent, fluorescent, and halogen.

Based on the information provided, we do not know the energy usage of each bulb, the brightness, color temperature, or CRI of each bulb, or the personal preferences and needs of the people using the break room.

We want to find out which bulb would be the best choice for each situation based on the relevant criteria.

We expect to receive an answer that provides a clear recommendation based on the available information and criteria.

To know more about kilowatt-hour visit:

https://brainly.com/question/1198770

#SPJ1

the counting number just before C5F16 is 3,072.

Answer:

an unbiased estimator

Step-by-step explanation:

(-3, 23/2)

the picture i linked shows the step by step

Answer:

B

Step-by-step explanation:

We can substitute the x value given, -3, into our equation, y = x^2, to get what the y would be:

y = x^2

y = (-3)^2

When a negative number is squared, it is positive, so (-3)^2 = 9, and:

y = 9

This is option b

Answer:

B) 9

Step-by-step explanation:

We are given the equation y = x^2 for the table, and a x value.

To find the y value that corresponds to that x value, we must plug the x value in the equation.

Y =x^2

Y= -3^2

Y=9

Answer:

8/3

Step-by-step explanation:

You have to count each third and eventually you would get 8/3.

Answer:

Step-by-step explanation:

18 * 10 - 8 * 4    (remember pemdas)

180 - 32 =

148 cm²

The range of the starting salaries is 53,000

Given,

The box and whisker plot below shows the starting salaries

The number of graduates in a small college = 120

We have to find the range of the starting salaries;

Range of a data;

The difference between the highest and lowest values for a given data collection is the range in statistics. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation.

Here,

Lowest value = 19,000

Highest value = 72,000

Then,

Range of the set = 72,000 - 19,000 = 53,000

That is,

The range of the given data set is 53,000

Learn more about range here;

https://brainly.com/question/1634693

#SPJ4

Answer:

Determine Your Budget.

Check Your Credit.

View Multiple Rentals.

Consider Roommates.

Consider a Cosigner.

Gather Your References.

Check Out the Neighborhood.

Check All the Websites.

The graph of the equation y = |x| + 5 is given below.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The given equation is y = |x| + 5.

Set the given values for x and find the corresponding values of y.

When x = -3, y = |-3| + 5 = 8

When x = -2, y = |-2| + 5 = 7

When x = -1, y = |-1| + 5 = 6

When x = 0, y = |0| + 5 = 5

When x = 1, y = |1| + 5 = 6

When x = 2, y = |2| + 5 = 7

When x = 3, y = |3| + 5 = 8

Graph of the equation is given below.

Hence the graph of the equation is found.

Learn more about Graphing of Functions here :

https://brainly.com/question/9834848

#SPJ1

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

More can be learned about rational functions at brainly.com/question/1851758

#SPJ1