-3x4y - 12
Line: Solid or Dashed?
Shade: Above or Below?
m=
b=
Are these points solution: (0,3)
(2,4)
(-1,-2)

Answer:

B.x= -4 and E. x= 10 are the answers

Here, we use the property of multiplication of exponential expression which states when we multiply two exponential expressions with the same base, we keep the base and add the exponents.

Therefore,

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

Now,

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

is of the form:

\(x^b = x^p\)

When we have two equal expressions on either side of the equation, the power of the base remains the same. Therefore,

p = 8

There we have it. The value of p is 8. The full solution is shown below:

\(x^3 × x^5 \\= x^px^8\\ = x^p\)

We can see that the base of the exponential expression on either side is equal.

Therefore, the power of the base must be equal as well. In other words

,p = 8.

To know more about base visit:

https://brainly.com/question/14291917

#SPJ11

From the options and the figure given we can conclude that the figure S is not a translation of figure P.

Given is four figure we need to determine which is not translation of figure P,

Along with rotations, reflections, and scaling, translations are one of the fundamental transformations used in geometry.

The characteristics and symmetries of geometric forms are frequently studied using them.

Translations in three dimensions have a similar structure but also entail movements in the horizontal, vertical, and depth planes.

Translation produces congruent figures.

When a figure is translated, its size and shape remain unchanged, and the resulting figure is congruent to the original.

Here except S all the three are same.

Hence figure S is not a translation of figure P.

Learn more about Translations click;

https://brainly.com/question/29712965

#SPJ1

Answer:

A

Step-by-step explanation:

An angle on a straight line is 180,this means x+78=180

x=102

The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

The given position vector is

N0w the velocity will be

Now,

And if the initial direction of the particle is towards the left then the particle will move towards the right in the interval 5

Answer: x = 1/2

Step-by-step explanation:

The correct option to calculate the total amount payable to suppliers whose materials meet the specifications is: SUMIF(B2:87, "Yes", C2:C7)

The function SUMIF is one that calculates the sum of the values within a certain range (C2:C7) provided that a certain condition is met (B2:B7 reads as "Yes").

By using the SUMIF function and setting specific ranges and criteria, the formula will add up the values within the C2:C7 range exclusively for suppliers whose materials align with the set specifications (which are marked as "Yes" in corresponding cells within B2:B7).

Learn more about SUMIF function from

https://brainly.com/question/26965606

#SPJ1

Answer:

y = 54x

Step-by-step explanation:

→ Divide one y value by its corresponding x values

27 ÷ 0.5 = 54

The area of the region consisting of all the points Charlyn can see during her walk is equal to, A = 4840 km.

Charlyn is walking around the boundary of square A, which is 55 km long, and she has a horizontal vision of 11 km.

So as she walks around the square of 55 km, let there be another square B which lies outside square A, which is created due to her 11 km field of vision.

length of sides of square B = 55+(2×11) which is equal to 77 km.

And as she walks around the square of 55 km, let there be yet another square C which lies inside square A, which is created due to her 11 km field of vision.

length of sides of square C = 55-(2×11) which is equal to 33 km.

The area that Charlyn can see throughout her walk is equal to,

A = Area of square B - Area of square C.

The area of square B = Side² = 77² = 5929.

The area of square C = Side² = 33² = 1089.

A = 5929 - 1089.

A = 4840 km.

Learn more about areas at

https://brainly.com/question/28062041?referrer=searchResults

#SPJ4

Answer:

-4

Step-by-step explanation:

\(Given:\) Line segment PQ with points P(-2.5) and Q(-1,1)

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 5)/(-1 - (-2)) = -4/1 = -4

Answer:

-4/1

Step-by-step explanation:

The option that describes the Coriolis effect is D. the direction of air currents in the Northern and Southern Hemispheres.

The effect of the Earth's rotation on weather patterns and ocean currents is known as the Coriolis effect. Storms swirl clockwise in the Southern Hemisphere and counterclockwise in the Northern Hemisphere due to the Coriolis effect. Circulating air is deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere as the Earth rotates on its axis. The Coriolis effect refers to this deflection.

The rotation of the Earth causes the Coriolis effect. Moving objects in the Northern Hemisphere tend to curve to the right of their intended paths; moving objects in the Southern Hemisphere tend to curve to the left of their intended paths. The Coriolis effect causes moving objects to accelerate or decelerate.

Therefore, based on the information given, it should be noted that the correct option is D.

Learn more about Coriolis effect on:

https://brainly.com/question/1557014

#SPJ1

The population variance is approximately 16.41 and the population standard deviation is approximately 4.05. These values indicate the spread or dispersion of the children's ages around the mean age of 7.71 in the given family.

To find the population variance and standard deviation for the ages of children in a family, follow these steps:

Calculate the mean (average) of the ages by adding all the ages and dividing by the total number of children, which is 7 in this case.

Mean = (1 + 3 + 5 + 7 + 8 + 11 + 14) / 7 = 7.71 (approximately)

Calculate the squared difference of each age from the mean.

Find the sum of the squared differences.

Divide the sum by the number of data points (7) to calculate the population variance.

Finally, take the square root of the variance to get the population standard deviation (σ).

After performing the calculations, the population variance is approximately 16.41 and the population standard deviation is approximately 4.05.

These values indicate the spread or dispersion of the children's ages around the mean age of 7.71 in the given family.

The standard deviation measures the average amount by which each age deviates from the mean, providing a useful metric to understand the variability within the age distribution.

To know more about population variance, refer here:

https://brainly.com/question/29998180#

#SPJ11

Answer:

5+5=10

Step-by-step explanation:

There are two whole numbers that equal 10.

The slope of the line representing the rope is -1/4.

To find the slope of the line representing the rope, we need to use the formula for slope, which is:

slope = rise / run

In this case, the rise is the height of the wall, which is 6 feet, and the run is the horizontal distance between the wall and the point where the rope is attached to the ground, which is 24 feet. However, we need to be careful about the sign of the slope, since the rope is going down from the wall to the ground.

To take this into account, we can use the convention that a positive slope means a line is going up from left to right, and a negative slope means a line is going down from left to right. In this case, since the rope is going down, we know the slope will be negative.

So, we can calculate the slope as follows:

slope = - rise / run
slope = - 6 / 24
slope = - 1/4

Therefore, the line representing the rope has a slope of -1/4.

Learn more about slope here: https://brainly.com/question/27140856

#SPJ11

Dée Trader's rate of return on her investment in Internet Dreams, considering the share price decrease and the interest expense, is 8.5%.

Dée Trader purchased 300 shares of Internet Dreams at $40 per share, resulting in an initial investment of $12,000 (300 shares * $40). However, since she borrowed $4,000, her out-of-pocket investment is $8,000 ($12,000 - $4,000).

At the end of the year, the share price falls to $30 per share. The market value of her investment is now 300 shares * $30, which equals $9,000.

Now, let's calculate the interest expense on the borrowed amount. The interest rate is 8%, so the interest expense for the year is 8% of $4,000, which equals $320.

To determine the net profit or loss, we subtract the initial investment and the interest expense from the market value of the investment. In this case, the net profit is ($9,000 - $8,000) - $320, which equals $680.

Finally, we can calculate the rate of return by dividing the net profit by the initial investment and expressing it as a percentage. The rate of return is ($680 / $8,000) * 100, which equals 8.5%.

To learn more about interest click here: https://brainly.com/question/8100492

#SPJ11

Answer:

= 1

Step-by-step explanation:

0.4131 + 0.5868 = 0.999 --> 1

The profit-maximizing price and quantity can be found by using the following formula:MC=MR where, MC is the marginal cost, and MR is the marginal revenue.

Thus, differentiating the revenue function with respect to q gives the following:R=pqthen, MR=dR/dq which yields:MR=85-10q.

Now, MR = MC : 85-10q=20+5q

q=4.33 units

p= 85-5q = 85-5(4.33 )= 62.33

Therefore, the profit maximizing price is 62.33.

In economics, a monopoly refers to a market structure where a single seller of a particular good or service controls the market. It is referred to as a price maker since it has control over the price of the product sold.

To know more about profit-maximizing visit:

https://brainly.com/question/31852625

#SPJ11

RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.

According to the scientists, RNA is considered the best candidate for the first life-form due to the fact that RNA is capable of self-replication and catalysis. This is possible because RNA can act both as a template to produce copies of itself and also as an enzyme to accelerate chemical reactions. These abilities suggest that RNA could have played a role in the emergence of the first living organisms on Earth.

An RNA molecule has the ability to catalyze reactions, which means that it can speed up chemical reactions without itself being altered. Thus, it is capable of serving as an enzyme. Scientists believe that the first life-form must have been capable of self-replication and catalysis, and RNA is capable of both functions.

This capability is significant because it is fundamental for the origin of life. Hence, RNA is believed to have played a significant role in the emergence of the first living organisms on Earth.

To conclude, RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.

To know more about capability visit

https://brainly.com/question/24824031

#SPJ11

RNA is considered the best candidate for the first life-form by scientists because RNA is capable of self-replication and catalysis.

The correct option is the first one due to following reasons:

As a result, scientists believe that RNA may have played a crucial role in the origins of life on Earth.

To know more about enzymes, visit:

https://brainly.com/question/14577353

#SPJ11

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

Learn more about Confidence intervals

brainly.com/question/32546207

#SPJ11

Answer:

-20

Step-by-step explanation:

-20 + 6 = -14

Answer:

P-6= -14equation)

p= -8 (answer)

Step-by-step explanation:

Well to solve this first make it into an equation to solve it

Since its difference between P and 6

so

p-6=-14

Now solve it normally

p= -8

There you go!

All of the statements are false except statement d. Counter-examples are given for each false statement each and explained below.

a) The statement is incorrect because there may exist elements in set B that are not included in the union of sets A and B.

Counter-example: if we take A as {1} and B as {2}, we can see that B is not part of the union of A and B, denoted as A ∪ B.

(b) The statement is incorrect because the union of sets A and B can include elements that are not in set A.

Counterexample: Let A = {1} and B = {2}. Then (A ∪ B) = {1, 2}, and {1, 2} is not a subset of A since it contains an element (2) that is not in A.

(c) The statement is false because removing set B from the union of sets A and B may result in elements that are not present in set A.

Counterexample: Let A = {1} and B = {2}. Then (A ∪ B) - B = {1} - {2} = {1}, which is not equal to A.

(d) The statement is true because removing the set A from the set B minus A will result in set A itself.

(e) The statement is false because there can be cases where sets A, B, and C have overlapping elements, indicating that A is not disjoint from C.

Counterexample: Let A = {1}, B = {2}, and C = {1, 2}. Then A + B = {1, 2} and B + C = {1, 2}, but A ∩ C = {1} is not an empty set, so A and C are not disjoint.

Learn more about Counterexample on:

https://brainly.com/question/12955211

#SPJ4

Answer: 8.9%

Step-by-step explanation:

280-255=25

25/280 = 8.93/100 = 8.93% ≈ 8.9%

hope this helps!

The last four digits of the number nn are 4944

Given that,

Let nn stand for the lowest positive integer that can be represented in base-1010 using only the numbers 44 and 99, with at least one of each. This number must be divisible by both 44 and 9,9.

The last two digits of n must be divisible by 4 for n to be divisible by 4.

So last digits of n will be 44.

And for divisiblity by 9, sum of all digits of n has to be divisible by 9.

As two digits are fixed and their total is 8, next feasible total will be 45 so 9 can be atleast one time in n.

And as statement says n has to be smallest number n will be 4444444944

So last 4 digits of n are 4944.

Therefore, nn's last four numbers are 4944.

Learn more about positive integer :

brainly.com/question/28165413

#SPJ4

Answer:

160 times X

Step-by-step explanation:

160 is the number of pencils in each box.

And

X is how many boxes there are.

If 1 box contains 160 pencils then the equation which represents the total number of pencils is y=160x.

An equation is a relationship between two or more variables where variables represent some quantity . It is mostly found in equal to form. It is equated to find the value of variables.

Equation form :y=a+bx

There are 160 pencils in one box and x represents the number of boxes. So the equation that represents the total number of pencils can be found by product of x and 160.

Equation will be x*160=160x.

Hence the equation which represents the total number of pencils is y=160x.

Learn more about equation at https://brainly.com/question/2972832

#SPJ2

The revenue R is a quadratic function of the price p, given by R =

\(-3p^2 + 54p.\)

The revenue from selling 15 units is $429. The maximum revenue is $243.

a) To express the revenue R as a function of x, we need to use the formula for revenue, which is:

R = p * x

Substituting the expression for x in terms of p, we get:

R = p * (-3p + 54)

Simplifying:

\(R = -3p^2 + 54p\)

b) If 15 units are sold, then we can use the demand equation to find the corresponding price:

x = -3p + 54

15 = -3p + 54

-39 = -3p

p = 13

So the price is $13 per unit, and we can use the revenue function from part (a) to find the revenue:

R = -

\(3(13)^2 + 54(13)\)

= $429

c) To find the quantity x that maximizes revenue, we need to find the vertex of the quadratic function R. The x-coordinate of the vertex is given by:

x = -b/(2a)

where a = -3 and b = 54. Substituting these values, we get:

X = -54/(2*(-3)) = 9

So the quantity x that maximizes revenue is 9 units. To find the maximum revenue, we can substitute x = 9 into the revenue function:

\(R = -3p^2 + 54p\)

R = $243

learn more about quadratic function here:

https://brainly.com/question/11441586

#SPJ1

The radius of convergence,R, of the series \(\[ \sum_{n=1}^{\infty} ~9(-1)^n~ nx^n \]\) is (1, ∞)

We know that for a power series ∑an (x - p)^n

if |x - p| < R then the series converges,

and if |x - p| > R then the series diverges.

Here, the number R is called the radius of convergence.

We have been given a series \(\[ \sum_{n=1}^{\infty} ~9(-1)^n~ nx^n \]\)

We need find the radius of convergence.

We use ratio test.

We know for \($\lim_{x\to\infty}~ | \frac{a_{n+1}}{a_n}|=L\)

if L < 1, then the series converges

and If \($\lim_{x\to\infty}~a_n \neq 0\) then \(\sum a_n\) diverges.

Using ratio test for given series,

\($\lim_{x\to\infty}~ | \frac{9(-1)^{n+1}~ (n+1)x^{n+1}}{9(-1)^n~ nx^n}|\\\\\\\)

= \($\lim_{x\to\infty}~ | \frac{(n+1)x^{n+1}}{nx^n}|\)

= \($\lim_{x\to\infty}~ | \frac{(n+1)x}{n}|\)

\(=|x| $\lim_{x\to\infty}~ | \frac{n+1}{n}|\)

= |x|

This means, the series is convergent for |x| < 1.

Learn more about the radius of convergence here:

https://brainly.com/question/18763238

#SPJ4

The differential equation is given as dp/dt = 2√(Pt), with the initial condition P(1) = 3, the solution to the differential equation with the given initial condition is P(t) = (t + √3 - 1)^2.

Step 1: Separate the variables. Move all terms involving P to the left side and all terms involving t to the right side:
(dp/√P) = 2 dt
Step 2: Integrate both sides with respect to their respective variables:
∫(dp/√P) = ∫(2 dt)
Step 3: Evaluate the integrals:
2√P = 2t + C, where C is the constant of integration.
Step 4: Use the initial condition P(1) = 3 to find the value of C: 2√3 = 2(1) + C
C = 2√3 - 2
Step 5: Substitute the value of C back into the equation and solve for P(t): 2√P = 2t + 2√3 - 2
Step 6: Divide both sides by 2: √P = t + √3 - 1
Step 7: Square both sides to get P(t) alone:
P(t) = (t + √3 - 1)^2
So the solution to the differential equation with the given initial condition is P(t) = (t + √3 - 1)^2.

Learn more about differential equation here, https://brainly.com/question/28099315

#SPJ11