the difference of 5 and 2, times 3

Answer:

the bigger number is 5 while the smaller number is 4

Step-by-step explanation:

x-y=1                                    eqn 1

x+2y=13                                eqn 2

from equation 1

x=1+y

substitute in eqn 2

1-y+2y=13

1+3y=13

y=4

x=1+y

x=1+4

x=5

Answer:

Besides the standard multiplication, at least there are two other alternative existed: Box model method and Block method.

Step-by-step explanation:

I'm sure there are other alternatives, but I wish this will have a little help.

Answer:27

Step-by-step explanation:

The maximum battery life is 27 hours.

Here,

The box plot represents the number of hours of battery life in different cell phones.

We have to find the maximum battery life.

What is box plot?

The box plot is a type of chart often used in explanatory data analysis.

Now,

By figure the maximum life of a battery is 27 hours.

Hence, The maximum battery life is 27 hours.

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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.

Answer:48.1897 = 48.2

Step-by-step explanation: cos P= 3.8/5.7

P= cos-1 (3.8/5.7)

P=48.1897 = 48.2

Hence, we have identified Q in each of the symbols as alpha radiation, beta radiation, and positron emission radiation.

Given, Each of the following represents a type of radiation. Identify Q in each of the symbols.0 4 0 a. Q b. Qc. e+1 0 4 0 2+1The symbols given represent the type of radiation and we need to identify Q in each of the symbols. Q represents the type of radiation in each of the symbol.

The types of radiation are given below: Symbol: 040 a type of radiation: Alpha radiation Q: Symbol: 0Qb. Q Type of radiation: Beta radiation Q: e+1 040 2+1Type of radiation: Positron emission radiation

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Red-green color blindness is controlled by an x-linked gene in humans. The allele that causes color blindness is rare and recessive to the allele for normal vision. A man and woman both with normal vision had color-blind fathers. If this man and woman have a child, Therefore, the probability of a child being color-blind is 25%.

Red-green color blindness is an X-linked recessive disorder. This means that the gene for the disorder is found on the X chromosome. Because males have only one X chromosome (inherited from their mother), they will develop color blindness if they inherit the allele from their mother. On the other hand, females need to inherit two copies of the allele, one from each parent, to develop the disorder.A man with normal vision will have the genotype XY, and the woman will have the genotype XX.

Each child of the couple will receive one X chromosome from the mother and one Y chromosome from the father. The probability of the child inheriting the allele for color blindness from its father is 0 because he has no alleles for color blindness.

The probability of the child inheriting the allele for color blindness from its mother is 1/2 because the mother's X chromosome has a 1/2 probability of carrying the allele. Because the mother is a carrier, the probability of the child receiving the allele is 1/2.

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Answer:b

Step-by-step explanation:

The function f(t) = 5sin(3t) + 4 represents the oscillations of the spring it had an amplitude of 5, a frequency of 3/(2pi), and a midline of 4 option second is correct.

It is defined as the number of waves that crosses a fixed point in one second known as frequency. The unit of frequency is per second.

We have amplitude A = 5

Frequency f = 3/(2π)

Midline m = 4

The equation for the simple periodic motion is given by:

f(t) = Asin(wt+∅) + m

Here phase angle ∅ = 0

We know:

w = 2πf

w = 2π(3/2π)

w = 3

Put all the values in the equation:

f(t) = 5sin(3t) + 4

Thus, the function f(t) = 5sin(3t) + 4 represents the oscillations of the spring it had an amplitude of 5, a frequency of 3/(2pi), and a midline of 4

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Answer: 56% of them

Step-by-step explanation:

Answer:

total inner angle of quadrilateral is 360 so

66 is remaining angle.

Please mark me as brainlist answer.

You has promised. Don't broke promise that you will give brainlist answer.

Answer:

The sum of the interior angle of a quadrilateral is given by the formula

(n-2)×180°

n represent the number of sides

(4-2)×180°

2×180°

=360°

then equate the angle to 360°

Therefore , the solution of the given problem of volume comes out to be a)   \(\int\limits^{2\pi }_0 \int\limits^a_0\) \(e^{-r^{2}\)(r) drdθ  , b) V = π ( 1- \(e^{-a^{2} }\) ) and   \(\lim_{a \to \infty} V\) = π .

the amount of space something occupies in three dimensions. Consider how much water might be present. known also as capacity .

The volume = area * height in this instance is equal to 200 units (10 x 4 x 5). 3 Volume units consist of:• Metric units: liters, cubic centimeters (cm3), and cubic meters (m3)

• US Standard: ounces, pints, gallons, cubic inches, and cubic feet

Here,

Given : z=e−x^2−y^2

and  x^2+y^2≤a2 where a>0.

Thus ,

volume  = \(\int\limits\int\limits\) \(e^{-x^{2} -y^{2} }\) dxdy

=>  \(\int\limits^{2\pi }_0 \int\limits^a_0\) \(e^{-r^{2}\)(r) drdθ

and

b)  volume    =  \(\int\limits^{2\pi }_0 \int\limits^a_0\) \(e^{-r^{2}\)(r) drdθ

let \(r^{2}\) = t

2rdr =dt

rdr = 1/2 dt

then,

V = 2π * 1/2 * \(\left \{ {{a^{2} } \atop {0}} \right.\) - \(e^{-t}\)

=> V = π * - \(e^{-a^{2} }\) + \(e^{0}\)

=> V = π ( 1- \(e^{-a^{2} }\) )

c) \(\lim_{a \to \infty} V\) = >    \(\lim_{a \to \infty}\)(π ( 1- \(e^{-a^{2} }\) ))

=>  π ( 1- \(e^{-\infty }\) )

=> π ( 1- 1/ \(e^{\infty }\) )

= > π ( 1- 0 )

=>   \(\lim_{a \to \infty} V\) = π

Therefore , the solution of the given problem of volume comes out to be a)   \(\int\limits^{2\pi }_0 \int\limits^a_0\) \(e^{-r^{2}\)(r) drdθ  , b) V = π ( 1- \(e^{-a^{2} }\) ) and   \(\lim_{a \to \infty} V\) = π .

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Therefore,  the dimensions that minimize the cost to build the fence around the fencing are 20 m by 10 m.

To minimize the cost of fencing a rectangular field of 200 m2, we need to find the dimensions with the least total cost. Let's use the variables x and y for the length and width of the field, respectively. The area of the field is A = xy = 200 m2.
First, we'll find an equation relating x and y using the area: y = 200/x.
Next, we'll find the cost equation: Cost = 3x + 3x + 8y + 8y = 6x + 16y.
Now, substitute y in the cost equation: Cost = 6x + 16(200/x).
To minimize the cost, we'll find the derivative of the cost function with respect to x and set it equal to zero:
d(Cost)/dx = 6 - 3200/x^2 = 0.
Solving for x, we get x = 20 m. Then, using y = 200/x, we find y = 10 m.
Therefore,  the dimensions that minimize the cost to build the fence around the fencing are 20 m by 10 m.

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Answer:

\(\huge\boxed{\dfrac{4}{7};\ \dfrac{5}{8};\ 0.7;\ 72\%}\)

Step-by-step explanation:

Two ways.

1. Convert to the decimal:

\(\dfrac{4}{7}=4:7=0.\overline{571428}\\\\\dfrac{5}{8}=5:8=0.625\\\\0.7=0.7\\\\72\%=\dfrac{72}{100}=0.72\)

therefore

\(0.\overline{571428}<0.625<0.7<0.72}\)

\(\dfrac{4}{7};\ \dfrac{5}{8};\ 0.7;\ 72\%\)

2. Convert to the fractions with common denominator.

\(\dfrac{4}{7};\ \dfrac{5}{8}\\\\0.7=\dfrac{7}{10}\\\\72\%=\dfrac{72}{100}=\dfrac{18}{25}\)

\(LCD=7\cdot8\cdot5\cdot5=1400\\\\\dfrac{4}{7}=\dfrac{4\cdot200}{7\cdot200}=\dfrac{800}{1400}\\\\\dfrac{5}{8}=\dfrac{5\cdot175}{8\cdot175}=\dfrac{875}{1400}\\\\0.7=\dfrac{7}{10}=\dfrac{7\cdot140}{10\cdot140}=\dfrac{980}{1400}\\\\72\%=\dfrac{72}{100}=\dfrac{72\cdot14}{100\cdot14}=\dfrac{1008}{1400}\\\\\dfrac{800}{1400}<\dfrac{875}{1400}<\dfrac{980}{1400}<\dfrac{1008}{1400}\)

therefore

\(\dfrac{4}{7};\ \dfrac{5}{8};\ 0.7;\ 72\%\)

Aleck's assignment involved collecting data from 11 randomly selected students in the school, and the obtained data are as follows: 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, and 16.

To arrange the data in increasing order, we start with the lowest value, which is 10, and then arrange the remaining values in ascending order: 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 16. The least value of the data is 10, while the greatest value is 16. To find the middle value of the data, we look for the value that is exactly in the middle, which is 13. The lower quartile is the value that is between the value 10 and the value 13, which is 11. The upper quartile is the value that is between the value 15 and the value 16, which is 15.

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Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

Answer:

Hi here is answer hope it helps

Step-by-step explanation:

A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number.

Answer:21-3+8=26

-14+31-6=11

Step-by-step explanation:

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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Answer: a, f. In Melanie's data set, she is collecting numerical data, specifically the number of text messages sent each day.

Numerical data is data that is represented by numbers. It is data that can be measured and compared. Examples include age, weight, height, and number of text messages.

In Melanie's data set, she is collecting numerical data, specifically the number of text messages sent each day. This data is numerical because it can be measured and compared. This data set does not have an outlier because all of the values are within a reasonable range and no single value is significantly higher or lower than the others.

A box plot is an appropriate data display for this data because it allows for an easy comparison of the data. The box plot will show the median, the range of values, and any outliers.

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Answer:

Equation: P=$2500+$120N

Total pay if  Miguel sells 23 copies: $5260

Answer:

2.5 centimeters

Step-by-step explanation:

The radius is half the diameter of a circle.

The diameter of the burger is 5 cm.

5/2 = 2.5

The radius of the burger should be 2.5 centimeters.

Hope this helps!

Answer:

The marginal utility per dollar spent for the second burger is 4 utils and the utility per dollar spent for the second burger is 4.5 utils.

Step-by-step explanation:

Answer: x³-21x+20=0

Step-by-step explanation:

To find which polynomial has 1, 4, -5 as the roots, all we have to do is equal each root to 0 and multiply all factors together.

1 is (x-1)=0

4 is (x-4)=0

-5 is (x+5)=0

Now, we just multiply them together.

(x-1)(x-4)(x+5)=0                       [FOIL]

(x²-4x-x+4)(x+5)=0                    [combine like terms]

(x²-5x+4)(x+5)=0                      [FOIL]

x³+5x²-5x²-25x+4x+20=0       [combine like terms]

x³-21x+20=0

Now we know x³-21x+20=0 is the polynomial with those roots.

Answer:

63 miles/1.4 hours = 45 mph

(55 mph)(4 hours) = 220 miles

A Markov chain model, also known as a Markov process or simply a Markov model, is a mathematical framework used to describe and analyze systems that evolve over time.

To create a Markov chain model for a rat wandering through the maze, we need to consider the different states the rat can be in and the probabilities of transitioning between these states.

In this maze, the rat can be in different rooms. Let's say there are three rooms: A, B, and the center room (C). The center room is an absorbing state, which means that once the rat enters this room, it will stay there and not move to any other room.

To create the Markov chain, we need to define the transition probabilities between the different rooms. Since the rat is equally likely to leave its current room through any of the doorways, the transition probabilities for each room will be 1/3.

Here is an example of the transition probabilities:

1. From room A:
  - Probability of transitioning to room B: 1/3
  - Probability of transitioning to the center room C: 1/3
  - Probability of staying in room A: 1/3

2. From room B:
  - Probability of transitioning to room A: 1/3
  - Probability of transitioning to the center room C: 1/3
  - Probability of staying in room B: 1/3

3. From the center room C:
  - Probability of staying in room C: 1

Once the transition probabilities are defined, we can represent the Markov chain using a transition matrix. In this case, the transition matrix will be a 3x3 matrix, where each row represents the current room and each column represents the next possible room. The values in the matrix will correspond to the transition probabilities.

Transition matrix:
```
| 1/3   1/3   1/3 |
| 1/3   1/3   1/3 |
|   0     0     1   |
```

Note that the last row of the matrix represents the absorbing state (center room C), where the probability of transitioning to any other room is 0, and the probability of staying in the center room is 1.

By using this Markov chain model, we can analyze the rat's behavior and calculate probabilities of different events, such as the number of periods it takes for the rat to reach the center room or the probability of the rat being in a specific room after a certain number of periods.

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Answer:

24f + 12g - 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

4(6f + 3g - 1)

Step 2: Expand

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

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The lower bound for the function f(n) = 4n^3 + 2n^2 + n is Ω(n^3).


To find the lower bound, we need to determine the term with the highest growth rate in the function f(n). In this case, the highest growth rate is determined by the cubic term 4n^3. The other terms, 2n^2 and n, have a lower growth rate, and therefore, their impact on the overall growth of the function becomes less significant as n increases.

As a result, we can say that the lower bound for the function f(n) is dominated by the cubic term 4n^3, which means that the function f(n) grows at least as fast as Ω(n^3).


The lower bound for the function f(n) = 4n^3 + 2n^2 + n is Ω(n^3). This means that the function grows at least as fast as a cubic function, and the other terms have a lesser impact on the overall growth rate as n increases.

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Therefore, the volume of the resulting solid is approximately 35728.458 cubic units.

To find the volume of the resulting solid, we can subtract the volume of the hole from the volume of the ball.

Volume of the ball: V_ball = (4/3) * π * (radius)^3

Volume of the hole: V_hole = (4/3) * π * (radius_hole)^3

In this case, the radius of the ball is 14, and the radius of the hole is 4.

Volume of the resulting solid = V_ball - V_hole

= (4/3) * π * (14^3) - (4/3) * π * (4^3)

= (4/3) * π * (14^3 - 4^3)

= (4/3) * π * (2744 - 64)

= (4/3) * π * 2680

≈ 35728.458 cubic units

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Answer:

36

Step-by-step explanation:

you have to isolate your variable. To do this, you add 24 to each side. On the left side its 12+24 and on the right, its 24+(-24) which then equals zero. In simple terms, x=12+24

Answer:

x = 36

Step-by-step explanation:

Add 24 to 12 because 24 is minus, so when it is moved to the other side of the equation it is plus.