find the slope of the line​

Answer:

y = 5 x = 4

Step-by-step explanation:

System of equations.

Answer:

x = 4

y = 5

Step-by-step explanation:

A)

5x - 2y = 10

x - y = -1             (Multpliy this by -2)

-2x + 2y = 2

5x - 2y = 10

3x = 12

x = 4

x - y = -1

4 - y = -1

-y = -5

y = 5

B)

Yes, the prices satisfy both equations

Answer:

2.5 inches per year.

Step-by-step explanation:

2 yrs= 5in

4 yrs= 10in

10in divided by 4 equals: 2.5in

Answer:

2.5 inches per year

Step-by-step explanation:

the slope m of the line gives the measure of the rate of change.

using the slope formula to find m

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (4, 10) ← corresponding points for 2/ 4 years

m = \(\frac{10-5}{4-2}\) = \(\frac{5}{2}\) = 2.5

rate of change is then 2.5 inches per year

We are given the following Information :  A thin funnel in the shape of a cone z = sqrt(x^2 + y^2),  1 ≤ z ≤ 5 and its density function is rho(x, y, z) = 11 − z.

We have to find the mass of the thin Funnel

So, first, we will find the limits of Integration.

Here, we are integrating over a cone.

Therefore, we have to write the limits of x, y and z in terms of z.

The bottom of the cone is at z = 1 and the top of the cone is at z = 5.

At each z, the maximum value of r (in cylindrical coordinates) is z.

Therefore, x and y range from -z to z.

So, the limits of integration are as follows: 1 ≤ z ≤ 5 -z ≤ x ≤ z -z ≤ y ≤ z ,

Next, we will find the mass of the funnel.

Mass of the cone = ρ * volume of the coneρ is the density of the cone.

Volume of the cone = (1/3) * π * r² * h Volume of the cone = (1/3) * π * z² * z = (π / 3) * z³

The density function is given by ρ(x, y, z) = 11 - zρ = 11 - z

Therefore, the mass of the cone is given by:M = ∫∫∫ ρ dV = ∫∫∫ (11 - z) dV

Where V is the volume of the cone.

Now, let's calculate the integral: M = ∫∫∫ (11 - z) dV = ∫∫∫ (11 - z) dzdydx

Now, substitute the limits of integration: M = ∫∫∫ (11 - z) dzdydxM = ∫-1¹ ∫-z^z ∫-z^z (11 - z) dxdydz

Note that the limit of the Innermost Integral is from -z to z because we are integrating with respect to x and x ranges from -z to z

.Now, solve for x:M = ∫-1¹ ∫-z^z [(11 - z) * 2z] dydzM = ∫-1¹ ∫-z^z (22z - 2z²) dydzM = ∫-1¹ (22z - 2z²) * 2z dzM = 2 ∫-1¹ (22z³ - 2z⁴) dzM = 2 [22/4 - 2/5]M = 30.8

Therefore, the mass of the thin funnel in the shape of a cone is 30.8.

to know more about Innermost Integral visit :

brainly.com/question/13740536

#SPJ11

We know that Juan should consider hiring a professional installer to ensure that the carpet is installed correctly and looks great in the room.

Based on the floor plan shown, Juan will need to measure the dimensions of the bedroom to determine the amount of carpet he will need.

He should measure the length and width of the room, including any alcoves or closets. It's also important to consider the quality and type of carpet he wants to install.

Once he has these measurements, he can calculate the square footage of the room and determine how much carpet he will need to purchase. It's important to factor in extra carpet for trimming and fitting purposes.

Additionally, Juan should consider hiring a professional installer to ensure that the carpet is installed correctly and looks great in the room.

To know more about hiring refer here

https://brainly.com/question/29355779#

#SPJ11

1. The initial sale to B. Ltd. is recorded by debiting Accounts Receivable and crediting Sales.

2. The return of goods by B. Ltd. is recorded by debiting Sales Returns and Allowances and crediting Accounts Receivable.

3. The payment for freight on the returned merchandise is recorded by debiting Freight Out and crediting Cash.

4. The receipt of payment from B. Ltd. is recorded by debiting Cash, crediting Sales Discount (2% of $10,000), and crediting Accounts Receivable.

5. The sale of goods to Y. Ltd. is recorded by debiting Accounts Receivable and crediting Sales.

6. The receipt of payment from Y. Ltd. is recorded by debiting Cash, crediting Sales Discount (2% of $15,000), and crediting Accounts Receivable.

To prepare journal entries in the books of A Ltd. using the net method, we need to record the relevant transactions. Here are the journal entries for the given transactions:

1. June 3:

Accounts Receivable - B. Ltd.  $10,000

   Sales                          $10,000

   To record the sale of goods to B. Ltd.

2. June 5:

Sales Returns and Allowances $500

   Accounts Receivable - B. Ltd.   $500

   To record the return of goods by B. Ltd.

3. June 7:

Freight Out                          $20

   Cash                                  $20

   To record the payment for freight on returned merchandise.

4. June 10:

Cash                                      $9,780

   Sales Discount                  $200

   Accounts Receivable - B. Ltd.   $10,000

   To record the receipt of payment from B. Ltd. after deducting the sales discount (2% of $10,000).

5. June 13:

Accounts Receivable - Y. Ltd.  $15,000

   Sales                                     $15,000

   To record the sale of goods to Y. Ltd.

6. June 25:

Cash                                      $14,760

   Sales Discount                  $240

   Accounts Receivable - Y. Ltd.  $15,000

   To record the receipt of payment from Y. Ltd. after deducting the sales discount (2% of $15,000).

Learn more about Accounts here:-

https://brainly.com/question/30718097

#SPJ11

Answer:

Slope = \(\frac{2}{3}\)

Y-intercept = 1

Step-by-step explanation:

-> See attached

-> In y=mx + b the m is the slope and the b is our y-intercept. Using this logic we can find the answers needed.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

slope is 2/3 and y intercept is 1

Step-by-step explanation:

the number next to x is the slope and the last number is the y-int

After updating preferences, the monopolist's probability of obtaining a promising result is P(Promising) = 17/40. So, the answer is option a.17/40

To answer this question, we need to calculate the probability that the firm will obtain a promising result, given that it has updated its preferences.

If the firm chooses not to invest in R&D, its profit is given by:

π0 = (P - C(q))q = (12 - Q - 5 - 6Q)Q = Q(7 - 7Q)

If the firm invests in R&D, its profit is given by:

π1 = P(Promising) [P(Successful) * (12 - Q - 5 - 2Q) + P(Failure) * (12 - Q - 5 - 6Q)] - 4 + [1 - P(Promising)](12 - Q - 5 - 6Q)

where P(Promising) is the probability of obtaining a promising result, P(Successful) is the probability of the new technology being successful, and P(Failure) is the probability of the new technology being a failure.

Simplifying the equation above, we get:

π1 = P(Promising) [3/8 * (7 - Q) + 5/8 * (7 - 5Q)] - Q - 1

To determine whether the firm should invest in R&D or not, we need to compare the profits under the two scenarios.

If π0 > π1, the firm should not invest in R&D. If π0 < π1, the firm should invest in R&D. If π0 = π1, the firm is indifferent between the two options.

Setting π0 = π1, we can solve for Q and obtain the threshold quantity, Q*.

Q* = 9/4

If Q* > 0, the firm will invest in R&D. Otherwise, it will not invest in R&D.

Substituting Q* into the two profit functions, we obtain:

π0 = Q*(7 - 7Q*) = 81/16

π1 = P(Promising) [3/8 * (7 - Q*) + 5/8 * (7 - 5Q*)] - Q* - 1

Substituting the values given in the question, we obtain:

π1 = P(Promising) [21/8 - 3/8Q* - 15/8] - Q* - 1

Simplifying the equation above, we get:

π1 = P(Promising) [-3/8Q* + 6/8] - Q* + 1/8

π1 = P(Promising) [-27/32] - 17/32

Setting π0 = π1, we can solve for P(Promising) and obtain:

P(Promising) = 17/40

Learn more about probability:https://brainly.com/question/13604758

#SPJ11

Standard deviation normal distribution table or calculator to determine the probability of observing a z-score of 1.3 or higher.

The probability is approximately 0.0968, or 9.68%.

To determine the mean number of times the letter appears on a page, we can multiply the probability of the letter appearing (0.066) by the total number of characters on the page (2650):

\(Mean = 0.066 \times 2650 = 174.9\)

To calculate the standard deviation, we can use the formula:

Standard deviation = \(\sqrt(n \times p \times q)\)

n is the sample size (2650), p is the probability of success (0.066), and q is the probability of failure \((1 - p = 0.934)\).

Standard deviation = \(sqrt(2650 \times 0.066 \times 0.934) = 13.2\) (rounded to 1 decimal place)

Determine whether 192 occurrences of the letter on a page is unusual, we can use the z-score formula:

z = (x - mean) / standard deviation

x is the observed number of occurrences (192), mean is the expected number of occurrences (174.9), and standard deviation is the standard deviation we just calculated (13.2).

\(z = (192 - 174.9) / 13.2 = 1.3\)

For similar questions on Standard deviation

https://brainly.com/question/475676

#SPJ11

The measure of CA is equal to measure of CB or CA=CB by the Side Angle Side congruence postulate.

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other, known as parallel lines.

We have a statement:

a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects.

Consider the line segment AB, 

let D be the midpoint of AB, so AD=DB

CD ⊥ AB

The triangles CAD and CBA are congruent from the Side Angle Side congruence postulate:

AD = DB, CD is common and Angle CDA = angle CDB = 90°, as CD ⊥ AB

So CA=CB

Thus, the measure of CA is equal to measure of CB or CA=CB by the Side Angle Side congruence postulate.

Learn more about the perpendicular line here:

brainly.com/question/18271653

#SPJ1

its 18 bc half of 18 is 9 so ye

Answer:

18

Step-by-step explanation:

18*0.50=9

hope this helped!!

Answer:

12/6 simplified to lowest terms is 2/1.

Step-by-step explanation:

Divide both the numerator and denominator by the HCF

12 ÷ 6

6 ÷ 6

Reduced fraction:

12/6 simplified to lowest terms is 2/1.

Answer: 2:1

Step-by-step explanation:

12:6

Both left and right can be divided by 6, like a fraction, reduce.

= 2:1

The sum of the two complex numbers will give:

(-4 + i) + (10 - 5i) = 6 - 4i

So the correct option is the third one.

Let's assume we have two complex numbers which are:

A = a + bi

B = c + di

The sum between these two complex numbers is:

A + B = (a + bi) + (c + di)

Taking i as a common factor we can rewrite:

(a + bi) + (c + di) = a + c + (b + d)i

And that is the general sum.

Here we want to solve:

(-4 + i) + (10 - 5i)

Again, if we take i as a common factor we can rewrite:

-4 + 10 + (1 - 5)*i

6 - 4i

So the correct option is the third one.

Learn more about complex numbers by reading:

https://brainly.com/question/10662770

#SPJ1

Answer:

32 units2

Step-by-step explanation:

formula for area of trapezoid-

(a+b)/2 * h

plug in 12 for a, 4 for b, and 4 for h

(12+4)/2 * 4

16/2 *4

8*4

32

The equation of the line is y = 2/3x + 2

What is equation ?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.

Slope between two points

m = (y2 - y1)/(x2 - x1)

   = (2 - (-2)) / (-3 - (-6))

   = 4 / 6

   = 2/3

y - y1 = m (x - x1)

y - (-2) = 2/3 (x - (-6))  

y + 2 = 2/3(x+6)

y = 2/3x +4 - 2

y = 2/3x + 2

To learn more about equation from the given link  

https://brainly.com/question/2972832

#SPJ1

The distributions of data can be characterized along three aspects or dimensions, namely location, spread, and shape. The spread (variance, range, interquartile range) aspects represent variation of the data or the spread of the data distributions.

About the Distribution of Data:

The idea of a distribution is fundamental to illustrating any output from a production process. Any manufacturing process output will not always produce the same value when it is measured, leading to distributions.

The measured values will naturally disperse around a central tendency value. A distribution is the name given to this dispersion around a core value. It is characterized by 3 aspects - location, spread, and shape.

Mean or median represent the location of the distribution numerically. Most common numerical measures that represent the spread are variance, range, and interquartile range. Skewness or kurtosis tell about the shape of the distribution.

Learn more about distribution here:

https://brainly.com/question/14926605

#SPJ4

Each equation in a system of equations has the format given as follows:

ax + by = c.

If the entire equations are multiples, then the system has an infinite number of solutions.

If the left side of the equation is a multiple, while the right side is not the same multiple, then the system has no solution.

Otherwise, the system has one solution.

More can be learned about a system of equations at https://brainly.com/question/13729904

#SPJ1

Answer:

The united nations flag the translation can be any of the blue triangles and the reflection if the flag itself as it is symmetrical

Step-by-step explanation:

The united nations flag the translation can be any of blue triangles and the reflection if the flag itself as it is symmetrical.

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If we study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

If you're reflecting a point (x,y) along x axis, then its abscissa will stay same but ordinates will negate. Thus (x,y) turns to (x, -y)

Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)

Therefore, The united nations flag the translation can be any of blue triangles and the reflection if the flag itself as it is symmetrical.

Learn more about reflection;

https://brainly.com/question/12950057

#SPJ2

Answer:

B.

Step-by-step explanation:

Divide ( x number of pages) by (x number of minutes) for all answers.

Day 1: 20 divided by 35= around 0.57 pg per minute

Day 2: 80 divided by 15= 5.3 pg per minute

Day 3: 46 divided by 65= around 0.70 pg per minute

Day 4: 35 divided by 26= 1.34 pg per minute.

Therefore, B is your answer!

Crown me brainliest pls!

Answer:

1000 :)

Step-by-step explanation:

We need to subtract to solve!!

54735 - 53000 = 1735

1735 - 735 = 1000

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

A: y = 2x - 3

Step-by-step explanation:

Slope (m) formula: \(\frac{y_2-y_1}{x_2-x_1}\)

I will be using (0,-3) and (4, 5) to find the slope:

\(m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{5-(-3)}{4-0}\\\\m=\frac{5+3}{4-0} \\\\m=\frac{8}{2}\\\\m=4\)

(0,-3)

\(y=mx+b\)

\(y=2x+b\)

\(-3=2(0)+b\\\\-3=0+b\\\\-3=b\)

\(y=2x-3\)

Hope this helps!

Answer:

2.26666667

Step-by-step explanation:

Stay Frosty

Answer:

28/15

Step-by-step explanation:

Answer:

4/2

Step-by-step explanation:

Find number closest to 1.5

\(\frac{4}{2} = 2\\1/2=0.5\\6/2 = 3\\\\2/4 = 0.5\)

4/2 is closest to 1.5

Please mark brainliest!

The value of x in the diagram is 9

equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees. Just like other types of triangles, an equilateral triangle also has its area, perimeter and height formula

From the diagram all the sides are equal which means it is an equilateral triangle in which each angle is equal to 60°

To find x,

7x -3 = 60

7x = 60 + 3

7x = 63

x = 63/7

x = 9

In conclusion the value of x is 9

Learn more about equilateral triangle: https://brainly.com/question/2351368

#SPJ1

Answer:

Step-by-step explanation:

Since we are to construct the fence around the park, to determine the length of the fence, we will find the perimeter of the rectangular car park.

Perimeter of the car park = 2(Length  + Width)

Given

Width of car park = 12m

Length of the car park = 34 m

Substituting the given data into the formula;

Perimeter of the park = 2(12+34)

Perimeter of the park = 2(46)

Perimeter of the park = 92m

Hence the length of fence that should be ordered to guarantee that there will be enough to surround the car park is 92m

Answer:

Cara can make 15 nylon cord necklaces exactly.

Step-by-step explanation:

This looks like a simple division problem, just divide 281.25 by 18.75 and you should get 15.

Answer:

Train going north = 50mph

Train going south = 100 mph

Step-by-step explanation:

Let:

x = train traveling north

2x = train traveling south

D = Distance

S = Speed

T = Time

Let's use the formula for time, speed, and distance. Since we are looking for distance,

D = S * T

Both trains traveled 4 hours and in the end were 600 miles apart, this sets up our equation to be,

4x + 8x = 600

Now solve for s to find our speed.

\(\frac{12x/12}{600/12}\)

x = 50 mph

This represents how fast the train going north was, since the train going south was going twice as much, then our second answer will be 100mph

Answer:

question given unclear bro add a photo or something it isnt clear

Step-by-step explanation: