What is the solution to 0.4(12-3x)=0.3(12x-16)

Answer:

(3, 3)

Step-by-step explanation:

Use the midpoint formula (x1+x2/2, y1+y2/2)

so its (-2+8/2, 6+0/2)

which is (3,3)

The costs of each treat are

To solve this, we use the followign representations

x = cookies

y = ice cream 1

z = ice cream 2

Treat 1

Using the columns to generate the system of equations, we have

x + y + z = 25.71

z + 2x = 23.21

3y = 26.94

So, we have

y = 8.98

The other equations become:

x + 8.98 + z = 25.71

z + 2x = 23.21

When solved, we have

x = 6.48

z = 10.25

Treat 2

Using the rows to generate the system of equations, we have

x + 2y = 7.17

y + 2x = 5.37

3z = 14.97

So, we have

z = 4.99

The other equations when solved, we have

x = 1.19

y = 2.99

Read more about system of equations at

https://brainly.com/question/13729904

#SPJ1

Answer:

see explanation

Step-by-step explanation:

Both sequences have a common difference between consecutive terms, that is

2 - 1 = 3 - 2 = 4 - 3 = 1

This indicates the sequence is arithmetic with n th term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 1 , thus

\(a_{n}\) = 1 + n - 1 = n

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

Similarly

d = 9 - 5 = 13 - 9 = 17 - 13 = 4 and a₁ = 5 , then

\(a_{n}\) = 5 + 4(n - 1) = 5 + 4n - 4 = 4n + 1

A city has a population of 28,000 people. Suppose that each year the population grows by 4.5%. What will the population be in 13 years?

Answer: Approximately 496,21 people

This is an exponential growth question, specifically population growth. We will use the following equation to help us solve this situation:

\(P(t) = a(1+r)^t\)

\(P(t) = \text{total population} \ (??)\)

\(\text{a = initial population = 28,000}\)

\(\text{r = growth factor (the percent as a decimal) = 0.045}\)

\(1 + r = 1 + 0.045 = 1.045\)

\(\text{t = time in years = 13}\)

So, we can substitute all our information and solve:

\(P(13) = 28,000(1.045)^{13} = 496,21.49\)

Rounding to the nearest whole person, 496,21 people in 13 years.

Answer:

m(DE) = 90°

Step-by-step explanation:

Since both circles are equal, therefore, their radius would be equal too.

m<S = 180 - right angle (angles on a straight line)

m<S = 180 - 90 = 90°

m<R = m<S (congruent triangles)

m<R = 90°

m<R = m(DE) (central angle = intercepted arc based on the central angle theorem)

Substitute

90° = m(DE)

m(DE) = 90°

Jan created a pattern using the rule "add 3," and Bill created a pattern using the rule "add 6." In arithmetic sequences, the nth term is given by the formula a + (n-1)d, where a is the first term and d is the common difference between any two consecutive terms.

The common difference is the difference between each pair of consecutive terms in a sequence. Because Jan's pattern has a common difference of 3, the nth term in her sequence is given by a + (n-1)3, and because Bill's pattern has a common difference of 6, the nth term in his sequence is given by a + (n-1)6.The nth term in both Jan and Bill's sequence is a linear function of n. The slope of a line is the common difference between any two consecutive terms in a sequence.

As a result, the slopes of Jan and Bill's patterns are 3 and 6, respectively. In general, two patterns are in a linear relationship if their slopes are constant multiples of one another. In this case, Bill's pattern is the result of multiplying Jan's pattern by a factor of 2. As a result, their patterns have a linear relationship. Answer: The patterns have a linear relationship because Bill's pattern is the result of multiplying Jan's pattern by a factor of 2.

To know more about arithmetic visit :

https://brainly.com/question/16415816

#SPJ11

Answers;

Larger angle = 62 degrees

Smaller angle = 28 degrees

Explanation:

Let the two complementary angles be x and y. Since the sum of complementary angles is 90degrees, hence;

x + y = 90 ....1

Let the larger angle be x and the smaller angle be y;

If the larger angle is 34° larger than the smaller angle,

x = 34 + y .....2

Substitute equation 2 into 1;

34+y+y = 90

34 + 2y = 90

2y = 90 - 34

2y = 56

Divide both sides by 2

2y/2 = 56/2

y = 28

Substitute y = 28 into equation 2;

x = 34 + 28

x = 62 degrees

Hence the measure of both anglea (x, y) is (62, 28)

In the polygons above, the similar parts and angles are enumerated below.

1) ∠PMN ~ to ∠JKL
∠KJL ~ ∠MPN
∠KLJ ~ ∠MNP

Sides
KJ  ~ MP
PN ~  JL
MN ~  KL

2) YR ~ YX
YZ ~  YS

∠XYZ = ∠RST
∠YRS ≅ ∠YXZ
∠YSR ≅ ∠YZX


3) KL ~  SR
  JM ~  PQ
  KJ ~ QR
∠KJM ~ ∠RQP
∠LMJ ~  ∠SPQ
∠KLM ~ RSP


Part 1:

AD ~  EH and
DC ~  HG
AB ~ EF and
BC ~ FG

Justification:

AD/DC = EH/HG
4/7 = 2/3.5

If we divide the numerator and denomination of 4/7 by 2, we have:

2/3.5 = EH/HG

This means that AD is related to DC in the same ration with which EH is related to HG.

This analysis is also true for :

AB/BC in relation to EF/EF

Learn more  about similar sides and angles:
https://brainly.com/question/30857117
#SPJ1

Answer:

10

Step-by-step explanation:

Since there are six sides, and only one side has a 3 on it, you will roll a 3 1/6 times. So multiply 1/6 by 60 and you get 10

BRAINLIEST?

Answer:

true answer is 10

Step-by-step explanation:

thats the true answer

Answer:

a. zeros are: -3, 1, and 4

b. f(x) = 82(x - 1)(x + 3)(x - 4)

Step by Step:

a. You can think of it two ways:

1. (these are the x coordinates for the x-intercepts, or (-3, 0) (1, 0) and (4,0))

2. If you take the function of the graph and substitute/input any one of these 3 "zeros" or "intercepts" or "solutions" for the x variable, they will produce an output of 0.

b. To turn this into a function, we must write it in intercept form:

y = a(x-b)(x-c)

Since this is a cubic function, we must have three factors rather than two:

y = a(x - b)(x - c)(x - d)

Each zero we have found previously must substitute for the equation, and thus turned into factors:

-3, 1, and 4 are substituted for:

(x + 3), (x - 1), (x - 4)

Now, we have:

y = a(x+3)(x-1)(x-4)
To solve for a, find a point on the graph and substitute its x and y coordinate, and solve:

(.5, 5) is a point on the graph of the function, where x = .5 and y = 5. Using this point, we have:

5 = a(.5 + 3)(.5 - 1)(.5 - 4)

a (3.5)(-.5)(-3.5) = 5

6.125a = 5

a = 5/6.125

a ≈ .82

f(x) (or whatever the function is called) = .82(x - 1)(x + 3)(x - 4)

Answer:

30

Step-by-step explanation:

The given relation {(x, x^2): x is a real number} does represent y as a function of x.

A function is defined as a relation where each input value corresponds to a unique output value. In this case, for every real number x, the corresponding y value is obtained by squaring x. For example, if we choose x = 2, the output value y would be y = 2^2 = 4. Similarly, for any other real value of x, there will always be a unique value of y, which is the square of x.

The relation {(x, x^2)} satisfies the criteria of a function because no two distinct x values will have the same y value. Each x value has a specific y value associated with it, given by the square of x.

Graphically, this relation represents a parabola that opens upwards, with the vertex at the origin (0, 0) and symmetrically increasing y values as x moves away from zero in both positive and negative directions.

Therefore, the given relation represents y as a function of x, where y is the square of x. It fulfills the condition of uniqueness, with each input value of x having a corresponding unique output value of y.

To know more about function visit:

https://brainly.com/question/30721594

#SPJ11

Answer:

76

Step-by-step explanation:

21+(36+19)

21+(55)

21+55

=76

Answer:

The identity property

Step-by-step explanation:

I took it on Egd.

Answer:

Math is a broad field that encompasses several branches, each with its own units of measurement. Some examples of units in math include:

In geometry:- Units of length, such as meters, centimeters, and inches

Units of area, such as square meters, square centimeters, and square feet

Units of volume, such as cubic meters, cubic centimeters, and cubic feet- Units of weight or mass, such as kilograms, grams, and pounds - Units of time, such as seconds, minutes, and hours

Units of temperature, such as Celsius and

Fahrenheit

Units of angle measurement, such as degrees and radians

Units of speed or velocity, such as meters per second or miles per hour

Units of frequency, such as Hertz or cycles per second

Units of energy or work, such as joules, calories, and foot-pounds

Units of power, such as watts and horsepower

These are just a few examples of the many units used in math. The type of unit used depends on the specific problem or application.

HOPE IT HELPS

PLEASE MARK ❣️‼️ ME AS BRAINLIEST .

Answer:

no; no; no; yes

Step-by-step explanation:

the negation of something is the direct opposite of it

tuesday is the only day mentioned here so anything with wednesday in it can be an automatic no

no; no; no; __

now for the last one is it is tuesday

this is a negation of the original statement because the original statement said that it is NOT that case that it is tuesday

so the answers are

no; no; no; yes

Answer:

x= 10, x=1

Step-by-step explanation:

(x-1)(x-10)=0

then solve for x

Answer:

3)      (N)  angle Q = 90 degrees

4)      (E)  angle 1 = 88 degrees

5)      (G)  angle 3 = 110 degrees

Step-by-step explanation:

3) angle Q = 1/2(270-90) = 90

4) central angles equal arc angles

5) angle supplemental to angle 3 is 1/2(140), so angle 3 = 180-70 = 110

The finite difference approximation for a Neumann boundary condition, \(\left(\frac{df}{dx}\right)\), at node \(n\) (right boundary) to \(O(h^2)\) is given by

\(\left(\frac{df}{dx}\right)_n \approx \frac{f_{n-2} - 4f_{n-1} + 3f_n}{2h}\),

where \(f_{n-2}\), \(f_{n-1}\), and \(f_n\) represent the function values at nodes \(n-2\), \(n-1\), and \(n\) respectively, and \(h\) represents the spacing between the nodes.

To derive this approximation, we start with the Taylor series expansion of \(f_{n-1}\) and \(f_n\) around \(x_n\):

\(f_{n-1} = f_n - hf'_n + \frac{h^2}{2}f''_n - \frac{h^3}{6}f'''_n + \mathcal{O}(h^4)\),

\(f_{n-2} = f_n - 2hf'_n + 2h^2f''_n - \frac{4h^3}{3}f'''_n + \mathcal{O}(h^4)\).

By subtracting \(4f_{n-1}\) and adding \(3f_n\) from the second equation, we eliminate the first-order derivative term and retain the second-order derivative term. Dividing the result by \(2h\) gives us the desired finite difference approximation to \(O(h^2)\).

In conclusion, the finite difference approximation for a Neumann boundary condition, \(\left(\frac{df}{dx}\right)\), at node \(n\) (right boundary) to \(O(h^2)\) is \(\left(\frac{df}{dx}\right)_n \approx \frac{f_{n-2} - 4f_{n-1} + 3f_n}{2h}\). This approximation is obtained by manipulating the Taylor series expansion of \(f_{n-1}\) and \(f_n\) to eliminate the first-order derivative term and retain the second-order derivative term, resulting in a second-order accurate approximation.

Learn more about function here:

https://brainly.com/question/31062578

#SPJ11

Two samples can have the same mean but different standard deviations if one sample has more variability than the other. For example, one sample may have data points that are tightly clustered around the mean, while the other sample may have data points that are more spread out.

This can result in the same mean value for both samples, but different levels of variability.

Here's an example bar graph to illustrate this concept:

     Sample 1                Sample 2

 ╭────────────────╮   ╭────────────────╮

 │      Mean      │   │      Mean      │

 ├────────────────┤   ├────────────────┤

 │                │   │    ╭─╮         │

 │                │   │    │ │         │

 │                │   │    │ │         │

 │                │   │    ╰─╯         │

 │     o o o      │   │  o o o o o o  │

 │                │   │                │

 │                │   │                │

 │                │   │                │

 ╰────────────────╯   ╰────────────────╯

     Std. Dev.            Std. Dev.

In this example, both Sample 1 and Sample 2 have a mean value of 5. However, Sample 1 has lower variability with a standard deviation of 1, while Sample 2 has higher variability with a standard deviation of 3. The error bars on the graph represent the standard deviation for each sample.

To know more about variability refer here:

https://brainly.com/question/17344045

#SPJ11

Answer:

To find the percent markup, we can use the following formula:

Markup = (selling price - cost price) / cost price * 100

We know that the department store buys 100 shirts at a cost of $1,200 and sells them at a selling price of $20 each.

Markup = ($20 - $12) / $12 * 100

Markup = $8 / $12 * 100

Markup = 2/3 * 100

Markup = 67%

So the percent markup is 67%.

Answer:

Step-by-step explanation:

The maximum value is the y-coordinate of the most extreme point in the positive direction. On this graph, it is 40.

The minimum value is the y-coordinate of the most extreme point in the negative direction. On this graph, it is -10.

The midline is the line halfway between the maximum and minimum. Its y-coordinate is the average of the maximum and minimum: (40-10)/2 = 15.

The amplitude is the difference between the maximum and the midline:

  40 -15 = 25.

__

The term "rate constant" is used for many things, but is rarely seen as a descriptor of a sine function. For that, you'll need to consult your text or other reference material. (Google turns up kinetic rate constants, chemical reaction rate constants, and others—nothing related to sine functions.)

The usual descriptors are frequency or period. (Frequency is the reciprocal of period.) On this graph, the period of the function is 6 units, so the frequency is 1/6 cycles per unit.

The value of 8√6 as a square root is √384

Surd are written as the square root of prime numbers. Given the expression below;

8√6

This is can be written as;

8√6 = √(8 * 8 * 6)

8√6 = √64 * 6

8√6 = √384

Therefore the value of 8√6 as a square root is √384

learn more on surd function here: https://brainly.com/question/840021

#SPJ1

Answer:

coordinates of H = (1, 0)

Coordinates of G = ( - 3.6, -2) or (5.6, -2)

Step-by-step explanation:

E(5,3) and F (2,-1) are two vertices of a square EFGH and H is in the x-axis.

Let the coordinates of H is (x, 0) and G is (a, b).

The length of side EF is

\(EF = \sqrt{(5 -2)^2 + (3 +1)^2} = 5\)

So,

\(EH = \sqrt{(5 -x)^2 + (3 -0)^2} = 5\\\\(5 -x)^2+ 9 = 25\\\\5 - x = 4\\\\x = 1\)

And

\(GH = \sqrt{(a -x)^2+ b^2} = 5\\\\(a -1)^2+ b^2 = 25\\\\a^2 + b^2 + 1 - 2 a = 25\\\\a^2 + b^2 - 2a = 24 .... (1)\)

Now

\(FG = \sqrt{(a -2)^2+ (b +1)^2} = 5\\\\(a -2)^2+ (b+1)^2 = 25\\\\a^2 + b^2 + 2b - 2 a = 20\\ ..... (2)\)

Solving (1) and (2)

b = - 2 ,

\(a = \frac{2 \pm\sqrt{4 + 80}}{2}\\\\a = \frac{2 \pm 9.2}{2}\\\\a = - 3.6, 5.6\)

Answer:

The market equilibrium price is approximately $36.43 per barrel.

Step-by-step explanation:

To find the market equilibrium price, we need to set the quantity supplied (QS) equal to the quantity demanded (QD) and solve for the price (P).

Given:

QS = -250 + 7P

QD = 260 - 7P

Setting QS equal to QD:

-250 + 7P = 260 - 7P

Now, let's solve for P:

Add 7P to both sides:

-250 + 7P + 7P = 260 - 7P + 7P

Combine like terms:

14P - 250 = 260

Add 250 to both sides:

14P - 250 + 250 = 260 + 250

Simplify:

14P = 510

Divide both sides by 14:

14P/14 = 510/14

Simplify:

P = 36.43

The market equilibrium price can be found by setting the quantity supplied (QS) equal to the quantity demanded (QD) and solving for the price (P) that satisfies this condition.

In the given scenario, the supply function is QS = -250 + 7P, and the demand function is QD = 260 - 7P. To find the equilibrium price, we set QS equal to QD:

-250 + 7P = 260 - 7P

Simplifying the equation, we get:

14P = 510

Dividing both sides by 14, we find:

P = 36.43

Therefore, the market equilibrium price is approximately $36.43 per barrel. At this price, the quantity supplied and quantity demanded will be equal, resulting in a state of equilibrium in the perfectly competitive domestic crude oil market.

Learn more about function here: brainly.com/question/30660139

#SPJ11

Answer:

50.33962264

Step-by-step explanation:

brainlest pls

Answer:

the answer is 50.33

Step-by-step explanation:

someone check out my recent question

Answer:

a = ⁵⁄₃ = 1⅔

b = ¼

c = ⁵⁄₇

d = ¹³⁄₁₂ = 1¹⁄₁₂

e = -⁷⁄₃₀

f = ³⁷⁄₁₄ = 2⁹⁄₁₄

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

w = 231 - 46

hope it helps...!!

Answer:

185

Step-by-step explanation:

\(x + 46 = 231 \\ x = 231 - 46 \\ x = 185\)

Answer:

8

Step-by-step explanation:

A^2 + B^2 = C^2

36+?=100

100-36= 64

Square root of 64 is 8