the chart says:day 1 -$4day 2 -$2day3 -$3_______the question is: what is the average of the values?choices are: -2 -3-4 -9which one is the answer?

Answer: x=12

Step-by-step explanation: Combine Multiplied terms into a single fraction: 3 = 18 - 5/4 x      3 = 18 -  -5/4x

Find common denominator: 3= 18+ -5/4x    3= 4 x 18/4 + -5x/4

Combine fractions with common denominator:   3= 4 x 18/4 + -5x/4      3=4 x 18/- 5x/4

The property used here is the negation of equality.

The statement, “c ~ f, gb, pf, c~b” shows that c is not equal to f, and c is not equal to b. There is no conclusion that can be drawn from gb and pf, as there is no information given about their relationship. Hence, the property used here is the negation of equality (the tilde symbol ‘~’ represents negation of equality).Negation of Equality:When two objects or quantities are not equal to one another, we use the symbol ‘~’. The negation of equality means that two given things are not equal to each other. For example, if a ≠ b, then we can write it as a~b. Similarly, if c ≠ d, then we can write it as c~d.The given statement c~f, gb, pf, c~b shows that c is not equal to f and c is not equal to b. However, there is no conclusion that can be drawn from gb and pf.

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Answer: 4:1

Step-by-step explanation:

36 men: 9 ladies

36/9=

4/1 ==> 4 men: 1 lady

4:1

Answer:

96 gallon of a gas if a gallon of gas is used to travel a mile you will multiply one times ninety six

Answer:

\( \boxed{ \bold{ \boxed{ \sf{(x - 7)(x - 6)}}}}\)

Step-by-step explanation:

\( \sf{ {x}^{2} - 13x + 42 }\)

Here, we have to find the two numbers that adds to 13 and multiplies to 42.

The numbers are 7 and 6

\( \sf{ {x}^{2} - (7 + 6)x + 42}\)

⇒\( \sf{ {x}^{2} - 7x - 6x + 42}\)

Factor out x from the expression

⇒\( \sf{x(x - 7) - 6x + 42}\)

Factor out 6 from the expression

⇒\( \sf{x(x - 7) - 6(x - 7)}\)

Factor out x - 7 from the expression

⇒\( \sf{(x - 7)(x - 6)}\)

Hope I helped!

Best regards!!

Answer:

x-7 For AP EX peeps

Step-by-step explanation:

Answer:

Answer:

3

Step-by-step explanation:

hope this helps

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\lambda\) is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

\(\lambda = \frac{29742}{365} = 81.485\)

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

\(P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0\)

0% probability that on a given day, 50 radioactive atoms decayed.

The domain of the function above is [-2, 3].

The range of the function above is [-2.5, 2].

The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].

The intervals over which the function is decreasing is [1.5, -2.5].

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this rational expression (function)   shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-2, 3] or -2 ≤ x ≤ 3.

Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.

Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].

In conclusion, the given function is not constant over any interval.

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The area of the segment is 9( π-2) units²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.

Area of segment = area of sector - area of triangle

area of sector = 90/360 × πr²

= 1/4 × π × 36

= 9π

area of triangle = 1/2bh

= 1/2 × 6²

= 18

area of segment = 9π -18

= 9( π -2) units²

therefore the area of the segment is 9(π-2) units²

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Answer:

i can't do that I don't know how I'm sorry

The values of the constants m and c include the following:

m = -1.3

c = 7.1

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;

2 = -7m + c    ...equation 1.

-11 = 3m + c    ...equation 2.

By solving the system of equations simultaneously, we have:

2 = -7m - 3m - 11

11 + 2 = -10m

13 = -10m

m = -1.3

c = 7m + 2

c = 7(-1.3) + 2

c = -7.1

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Answer:

\(\dfrac{-5}{3}\)

Step-by-step explanation:

We need to solve the given expression in the lowest form i.e.

\(\dfrac{5}{6}\div (-\dfrac{1}{2})\)

We know that,

\(\dfrac{a}{b}\div \dfrac{c}{d}=\dfrac{a}{b}\times \dfrac{d}{c}\)

So,

\(\dfrac{5}{6}\div (-\dfrac{1}{2})=\dfrac{5}{6}\times (-2)\\\\=\dfrac{-5}{3}\)

So, the lowest form is equal to \(\dfrac{-5}{3}\).

Answer:

\(A=301.593\ cm^3\)

Step-by-step explanation:

The Surface Area of a Cylinder

Given a cylinder of base radius r and height h, the surface area is calculated (including the top and bottom areas):

\(A = 2\pi r^2+2\pi r h\)

The cylinder has a height of h=8 cm and a radius of r=4 cm. Substituting:

\(A = 2\pi 4^2+2\pi *4*8\)

\(A = 32\pi +64\pi\)

\(A=96\pi\)

Calculating

\(\boxed{A=301.593\ cm^3}\)

Answer: 301.593 cm2

Step-by-step explanation:

The answer to the sum is: ∑ k⁴ (k  ranges from 1 to 6)

Express the sum in sigma notation :

According to the question,

1 = lower limit of summation

k = the index of summation

1 + 16 + 81 + 256 + 625 + 1296 = 1² + 4² + 9² + 16² + 25² + 36²

                                                 = 1⁴ + 2⁴ + 3⁴ + 4⁴ + 5⁴ + 6⁴ ( i.e 16 = 4²=(2²)²)

                                                 = ∑ k⁴ (k ranges from 1 to 6)

 So, The answer to the sum is - ∑ k⁴ (k ranges from 1 to 6).    

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If the length of HJ is 7 unit then the length of EI is 14 unit.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given a circle with center H.

Therefore, the radius of the circle is found as; HJ

Then the Diameter is the line from one point in the circle to the other point through the center of the circle.

Diameter of the circle = EI

Since we know that One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.

Then the name of the chord is FG.

If the length of HJ is 7 unit then the length of EI is;

EI = 2 HJ

EI = 14 unit.

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The slope intercept form of the given equation is,

y = 5x - 1/4

Given an equation of a line as,

5x - y = 1/4

We have to write the equation of the line in slope intercept form.

Equation of the line in slope intercept form is,

y = mx + c

Here m is the slope and c is the y intercept.

Rearranging the given equation,

5x = y + 1/4

5x - 1/4 = y

or,

y = 5x - 1/4

Hence the slope intercept form is y = 5x - 1/4.

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Answer:

The least common denominator is 72.

Step-by-step explanation:

8 = 2³

9 = 3²

Since the two denominators have no common factors, the LCD is their product.

LCD = 8 × 9 = 72

The least common denominator is 72.

Answer:

w=15

Step-by-step explanation:

2w-5=30

2×15-5=30

30-5=25

w=15

1. If the gross domestic product of a country is significantly higher in one year than in another, the factor that might account for the difference is d. all of these.

2. The Lorenz Curve for the United States indicates that the richest 20 percent of households have d. 46.8 percent of the nation's income.

3. The economic condition most likely to be caused by a war affecting oil production in the Mid East would be a. demand-pull inflation.

The gross domestic product or GDP refers to the total monetary value of goods produced and services provided in a country during one specific period.

The Lorenz Curve, developed by Max Lorenz measures income inequality or wealth inequality using a graphical representation.

When there is a shortage in supply, pressure is mounted on the available quantity of an item, causing its price to increase.

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Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

The possible lengths of the path are (2,3,5)

Any side of a triangle must be shorter than the other two sides added together. If a side is equal to the other two sides it is not a triangle.

Given here: A 9 mile long triangular path.

In Euclidean geometry, triangle inequlaity theorem that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c.

Thus we have

a) 1+1=2<7 (False)

b)1+2=3<6 (False)

c)2+2=4<5 (False)

d) 2+3=5>4 ( True)

Therefore the possible lengths of the paths are (2,3,5)

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A triangular bike path is exactly  miles long. If each of the three connecting paths is a whole-number of miles long, which could be the lengths of the paths? (1 Point)

1mile,  1mile,  7miles

1 mile, 2 miles, 6 miles

2 miles,  2miles, 5 miles

2 miles,  3miles, 5 miles

Ellie's growth rate is 2.4 pounds per month.

To find Ellie's growth rate in pounds per month, we divide the change in weight by the time period. Let's calculate it using the given information:

Determine the change in weight:

Change in weight = 0.6 pounds

Determine the time period:

Time period = 0.25 months

Calculate the growth rate:

Growth rate = Change in weight / Time period

Substituting the values:

Growth rate = 0.6 pounds / 0.25 months

To divide by a fraction, we multiply by its reciprocal:

Growth rate = 0.6 pounds * (1 / 0.25 months)

Simplifying the fraction:

Growth rate = 0.6 pounds * 4 months

Multiplying:

Growth rate = 2.4 pounds per month

Therefore, Ellie's growth rate is 2.4 pounds per month. This means that, on average, she gains 2.4 pounds every month.

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Answer: una linea

Step-by-step explanation:

Step-by-step explanation:

if there is no typo the expression is :

7 + 5c + 4d - 8c + d

to simplify combine all terms with the same variable and exponent of that variable.

so, this is

7 + (5c - 8c) + (4d + d) = 7 - 3c + 5d

Answer:

-3c+5d+7

Step-by-step explanation:

I believe the expression you provided is:

(log(x) + 4x^3) / x

To find the discontinuities of this expression, we need to identify any values of x that would cause the expression to be undefined. These values are called the discontinuities.

There are two types of discontinuities to look for:

Removable discontinuities: These occur when a function is undefined at a certain point but can be made continuous by redefining the function at that point.

Non-removable discontinuities: These occur when a function is undefined at a certain point and cannot be made continuous by redefining the function at that point.

To find the discontinuities of the given expression, we need to look for values of x that would make the denominator equal to zero, as this would result in a non-removable discontinuity.

So we solve the equation:

x = 0

This means that x cannot be equal to zero, as it would make the denominator zero and the expression undefined.

Therefore, the only discontinuity of the expression is at x = 0.

Note that there are no removable discontinuities in this expression, as the expression is continuous everywhere except at x = 0.

That's a question about exponentiation.

Answer:

Kenji is wrong because he does not aply the porperty correctly.

Step-by-step explanation:

A exponetiation has this form:

\(\boxed{a^b}\)

a is the base

b is the power or exponent

To understand that situation it's important to know a property about exponentiation. When we have a multiplication with the same exponent and diferent bases, the result is the multiplication of the bases with the same exponent. Let's see this above, in mathematical language:

\(\boxed{a^b \cdot c^b = (a\cdot c) ^b}\)

Examples:

Now, we can say why Kenji is wrong. It's easy simplify \(3^5 \cdot 4^5\)! We know that the result is \((3 \cdot 4) ^5 = 12^5\), but Kenji multiplied the bases and added the exponents, that's why he is wrong.

I hope I've helped. ^^

Enjoy your studies! \o/

Answer:

Step-by-step explanation:

50% of 366 is 183, therefore your answer is 366.

First, lets perform each transformation and then take a look at its graph:

1.

The only etiquette that matches this plot is: Function decreases as x increases

2.

The only etiquette that matches this plot is: x-intercept at (1.5 , 0)

3.

The only etiquette that matches this plot is: Asymptote of x = 0

Answer:

\(y = \frac{1}{3}x-4\)

Step-by-step explanation:

Step 1:  Solve for y in the first equation

\(3y - x = -12\)

\(3y - x + x = -12 + x\)

\(\frac{3y}{3} = \frac{x}{3} - \frac{12}{3}\)

\(y = \frac{1}{3}x - 4\)

Step 2:  Determine the important aspects

We know that our line is parallel to the other line that has a slope of 1/3 which means that our slope is also going to be 1/3.  We also know that our line crosses the point (18, 2) which means that we can use the point slope form to determine our equation

Point Slope Form → \((y-y_1) = m(x - x_1)\)

Step 3:  Plug in the information and solve

\((y-2) = \frac{1}{3}(x - 18)\)

\(y - 2 = \frac{1}{3}x - 6\)

\(y - 2 + 2 = \frac{1}{3}x - 6 + 2\)

\(y = \frac{1}{3}x-4\)

Answer: \(y = \frac{1}{3}x-4\)