Find \( A \). \[ (4 A)^{-1}=\left[\begin{array}{ll} 5 & 2 \\ 4 & 2 \end{array}\right] \]

The inflation rate for that decade will be  34.39%. If the inflation rate had been the same for each year in that decade, the annual rate would have been 2.79%.

a) If the annual inflation rate was 3% for 10 years in a row, the inflation rate for that decade would be 34.39%. This is calculated by using the formula (1 + annual inflation rate)^number of years - 1. So in this case, it would be (1 + 0.03)^10 - 1 = 0.3439 or 34.39%.

b) To find the inflation rate for the decade from 1960 to 1970, we need to know the Consumer Price Index (CPI) for both years. The CPI for 1960 was 29.6 and the CPI for 1970 was 38.8.

We can use the formula (CPI in later year/CPI in earlier year)^(1/number of years) - 1 to find the annual inflation rate.

So in this case, it would be (38.8/29.6)^(1/10) - 1 = 0.0279 or 2.79%. Therefore, if the inflation rate had been the same for each year in that decade, the annual rate would have been 2.79%.

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  All zeros of polynomial functions  -3/2 , 5i and -5i

Zeros of polynomial are the points where the polynomial equals zero on the whole. In simple words, we can say that zeros of polynomial are values of the variable such that the polynomial equals 0 at that point. Zeros of a polynomial are also referred to as the roots of the equation and are often designated as α, β, γ respectively. Some of the methods used to find the zeros of polynomial are grouping, factorization, and using algebraic expressions.

2x^3+3x^2+50x+75 equal to 0

2x^3+3x^2+50x+75 = 0

⇒ x^2 (2x + 3) + 25 (2x + 3) = 0

⇒ (2x + 3) (x^2 + 25 ) = =

If any individual factor on the left side of the equation is equal to  0, the entire expression will be equal to 0

2x + 3 = 0

x^2 + 25 = 0

so, x = -3/2  and x = 5i and -5i

The final solution is all the values that make  2x^3+3x^2+50x+75 = 0

x = -3/2 , 5i and -5i

Hence, all zeros of polynomial functions  -3/2 , 5i and -5i

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based on the line of best fit, we would predict that the day's high temperature would be approximately 34.29 degrees Fahrenheit or 1.272°C if Genesis sold 28 hot cocoas

The term "temperature" describes how hot or cold a body is. It is, specifically, a method of calculating the kinetic energy of the particles that make up an item. When particles move more quickly, the temperature rises, and vice versa.

Nearly every aspect of our daily lives and all scientific fields, from physics to geology, are significantly influenced by temperature.

The velocity of these particles likewise increases as the temperature rises.

A thermometer or a calorimeter is used to determine the temperature. In other words, a system's internal energy is determined by its temperature.

from the question...

We may infer from the scatter plot and the line of best fit that the line's equation is y = -0.7x + 52, where y stands for the volume of hot cocoa sold and x for the high temperature of the day in degrees Fahrenheit.

If Genesis sold 28 hot cocoas, we can solve for x and substitute y = 28 into the equation to determine the day's high temperature:

28 = -0.7x + 52

-0.7x = 28 - 52

-0.7x = -24

x = 34.29

So, if Genesis sold 28 hot cocoas, we would forecast that the day's high temperature would be roughly 34.29 degrees Fahrenheit based on the line of best fit.

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complete question:

In this case, the mean of the data set is 67, the sum of all the data values is 2291, the sum of all the squared data values is 182,361, the sample standard deviation is 8, the population standard deviation is 8.024961059, and the sample size is 29.

The TI-84 Plus display presents sample statistics for a set of data. The "x" symbol represents the mean, or average, of the data set. The "Σx" symbol represents the sum of all the data values, and the "Σx2" symbol represents the sum of all the squared data values.

These statistics can be used to analyze and interpret the data set. For example, the mean can be used to determine the central tendency of the data, and the standard deviation can be used to measure the spread of the data.

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The solutions are x = 3√2 and x = -3√2.

There are several methods that can be used to solve a quadratic equation. The most commonly used methods are:

1. Factoring
2. Completing the square
3. Quadratic formula
4. Graphing

Now, let's solve each equation using one of the methods listed above.

a. 2x^2 - 7x + 3 = 0

We can use the factoring method to solve this equation. First, we need to find two numbers that multiply to give us 3 and add to give us -7. The numbers are -3 and -1. So, we can factor the equation as follows:

(2x - 1)(x - 3) = 0

Now, we can set each factor equal to zero and solve for x:

2x - 1 = 0 => x = 1/2

x - 3 = 0 => x = 3

So, the solutions are x = 1/2 and x = 3.

b. x^2 + 10x + 1 = 0

We can use the quadratic formula to solve this equation. The quadratic formula is:

x = (-b ± √(b^2 - 4ac))/(2a)

Plugging in the values of a, b, and c, we get:

x = (-(10) ± √((10)^2 - 4(1)(1)))/(2(1))

Simplifying, we get:

x = (-10 ± √96)/2

So, the solutions are x = (-10 + √96)/2 and x = (-10 - √96)/2.

c. x² – 18=0

We can use the square root method to solve this equation. First, we need to isolate the x^2 term on one side of the equation:

x^2 = 18

Now, we can take the square root of both sides:

x = ±√18

Simplifying, we get:

x = ±3√2

the solutions are x = 3√2 and x = -3√2.

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The number of each type of coin they have is 42 quarters and 12 nickels.

To find out how many of each type of coin Kevin and Randy Muise have, we can use a system of equations. Let's call the number of quarters "q" and the number of nickels "n". We can create two equations based on the information given:

q + n = 54 (the total number of coins)

0.25q + 0.05n = 11.10 (the total value of the coins)

Now we can use the substitution method to solve for one of the variables. Let's solve for "n" in the first equation:

n = 54 - q

Now we can substitute this value of "n" into the second equation:

0.25q + 0.05(54 - q) = 11.10

Simplifying and solving for "q":

0.25q + 2.7 - 0.05q = 11.10

0.20q = 8.40

q = 42

Now we can plug this value of "q" back into the first equation to find "n":

n = 54 - 42

n = 12

So Kevin and Randy Muise have 42 quarters and 12 nickels in their jar.

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Answer: :)

Step-by-step explanation:

Let's start by setting up a proportion to represent the ratio of black tiles to white tiles:

1 black tile : 4 white tiles

We know that Eddie wants a total of 25 tiles in the design, so we can set up another proportion to represent the ratio of white tiles to the total number of tiles:

white tiles : 25 total tiles

To solve for the number of white tiles, we need to find the equivalent ratio of white tiles in terms of the total number of tiles. We can do this by cross-multiplying our two proportions:

1 black tile * (white tiles/4 black tiles) = white tiles/4

white tiles/25 total tiles = (white tiles/4) / (1 black tile + white tiles/4)

Simplifying this expression, we get:

white tiles/25 = (white tiles/4) / (5/4)

white tiles/25 = (1/4) * (white tiles/5)

5 * white tiles = 100

white tiles = 20

Therefore, Eddie will use 20 white tiles in his design.

Answer:

Step-by-step explanation:its 18.50

The statement which describes the decimal equivalent of 5/16 is option(a), It is a decimal that terminates after 4 decimal places.

To convert a fraction to a decimal, we need to divide the numerator by the denominator.

In this case, we want to find the decimal equivalent of the fraction 5/16,

⇒ 5 ÷ 16 = 0.3125

So, the decimal equivalent of 5/16 is 0.3125.

The option(a) states that, It is a decimal that terminates after 4 decimal places.

This statement is correct, because the decimal equivalent of 5/16 terminates after 4 decimal places.

Therefore, the correct statement is option is (a).

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The given question is incomplete, the complete question is

What statement describes the decimal equivalent of 5/16?

(a) It is a decimal that terminates after 4 decimal places.

(b) It is a decimal with a repeating digit of 5.

(c) It is a decimal that terminates after 3 decimal places.

(d) It is a decimal with repeating digits of 6.

The complete proof that ΔUWX ≅ ΔWUV is explained below.

Congruent triangles are set of given triangles which have equal values of corresponding properties. Thus the triangles have equal dimensions and measure of internal angles.

The two column complete proof required are given below:

              STATEMENT                             REASONS

1. WX ║ UV                                               Given

2. < V ≅ <X                                               Given

3. <VUW ≅ <UWX                                    Definition of alternate angles.

4. UW ≅ UW                                             Reflexive property of congruence

5. ΔUWX ≅ ΔWUV                                   Angle-Side-Angle (AAS) property

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Answer:

1/2

Step-by-step explanation:

Our answer options are: 0, 1, 1/2

0 = 0/100

1 = 100/100

1/2 = 50/100

Comparing the 3 options, we see that 1/2 is the closest to 48/100!

So, the answer is 1/2

The amount of water filled in bucket  6 hours is found as 1 gallon.

Mathematical proportions are comparisons of two numbers that categorize or persons. They are frequently expressed as fractions or with a colon. There are two ways to write mathematical proportions. You can use colons to compare the numbers, or you can use equivalent fractions to represent the proportion.

Now,

Let the amount of water filled in 6 hours be 'x'.

Using proportion:

4/24 = x/6

x = 4*6 / 24

x = 1 gallon

Thus, the amount of water filled in bucket  6 hours is found as 1 gallon.

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The complete question is attached.

The speed of the river's current is 3 miles per hour.

To determine the speed of the river's current, we can use the formula d = rt, where d is the distance, r is the rate, and t is the time.

We can set up two equations, one for upstream and one for downstream, and solve for the speed of the river's current.

For upstream:

9 = (6 - c)t

For downstream: 27 = (6 + c)t

Since it takes her the same amount of time to paddle 9 miles upstream as it does to travel 27 miles downstream, we can set the two equations equal to each other:

9 = (6 - c)t = 27 = (6 + c)t

Simplifying and solving for c:

9(6 + c) = 27(6 - c) 54 + 9c = 162 - 27c 36c = 108 c = 3

Therefore, the speed of the river's current is 3 miles per hour.

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The events in terms of whether they are complimentary or not are:

The probability that it will not rain tomorrow is 2 / 3.

In probability theory, complementary events are two events that together cover all possible outcomes, meaning that if one event occurs, the other cannot occur. For example, in part (a) of the question, the events of getting an even number and getting an odd number when rolling a die are mutually exclusive, meaning that they cannot happen at the same time.

In part (b), the events of getting a prime number and getting an even number when rolling a die are not complementary events because the number 2 is both prime and even.

In parts (c) through (g), the events listed are complementary events. For example, in part (c), the events of all students attending class and no students attending class cover all possible outcomes, and only one of them can happen at a time.

If the probability of rain tomorrow is 1/3, the probability of no rain tomorrow is:

P(not raining) = 1 - P(raining)

P(not raining) = 1 - 1/3

P(not raining) = 2/3

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A rule to represent this translation include the following (x, y)  →  (x - 9, y + 4).

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

C(3, 2) → C'(-6, 6)

3 + x = -6

x = -6 - 3 = -9.

y + 2 = 6

y = 6 - 2 = 4.

Therefore, the transformation rule is (x, y)  →  (x - 9, y + 4)

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The equatiοn fοr the number οf eggs in the refrigeratοr e decreased by 3 equals 15 is, e - 3 = 15.

A statement demοnstrating the equality οf twο expressiοns is knοwn as an equatiοn. Variables, cοnstants, and mathematical οperatiοns are οften included. Equatiοns are tοοls fοr prοblem-sοlving and representing relatiοnships between quantities.

Accοrding tο the questiοn states that the number οf eggs in the refrigeratοr e decreased by 3 equals 15.

It means that the equatiοn can be represented as,

e - 3 = 15

e = 18

Therefοre, the equatiοn is, e - 3 = 15.

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b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

[tex]{\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{km}{distance}&\stackrel{kmh}{rate}&\stackrel{hrs}{time}\\ \cline{2-4}&\\ Upstream&60&b-c&5\\ Downstream&60&b+c&3 \end{array}\hspace{5em} \begin{cases} 60=(b-c)(5)\\\\ 60=(b+c)(3) \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{60=(b-c)5}\implies \cfrac{60}{5}=bc\implies 12=b-c\implies 12+c=b \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 2nd equation}}{60=(b+c)3}\implies \cfrac{60}{3}=b+c\implies 20=b+c\implies \stackrel{\textit{substituting from above}}{20=(12+c)+c} \\\\\\ 20=12+2c\implies 8=2c\implies \cfrac{8}{2}=c\implies \boxed{4=c}~\hfill \stackrel{ 12~~ + ~~4 }{\boxed{b=16}}[/tex]

Answer:

right one is correct explanation

The probability of first subset has 14 observations with population of 5 million or greater, and the second subset has 36 observations with population less than 5 million.

The state population data has 50 observations, each representing a different state. To create two subsets, I filtered the data according to 2018 population. The first subset includes observations with population of 5 million or greater, and the second subset includes observations with population less than 5 million. There are 14 observations in the first subset and 36 observations in the second subset. This shows that there are more states with population below 5 million than above 5 million. The data also shows that the states with population of 5 million or greater tend to have higher population densities than those with population below 5 million. This could be due to a variety of factors such as location, climate, and resources.

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Answer:

A) vertical asymptote: X = -3

Horizontal asymptote: y = -9

Step-by-step explanation:

sorry I don't know how to explain it

To find all the values of b that will make the trinomial 3x^(2)-bx+12 factorable, we need to use the discriminant of the quadratic formula. The discriminant is the part of the quadratic formula under the square root: b^(2)-4ac. If the discriminant is a perfect square, then the trinomial will be factorable.

So we plug in the values of a, b, and c from the trinomial: b^(2)-4(3)(12) = b^(2)-144.

We want this to be a perfect square, so we can set it equal to a perfect square and solve for b:

b^(2)-144 = 36

b^(2) = 180

b = sqrt(180)

b = 6sqrt(5)

So one value of b that will make the trinomial factorable is 6sqrt(5).

Now we can plug this value of b back into the trinomial and factor it:

3x^(2)-6sqrt(5)x+12 = 0

(3x-6)(x-sqrt(5)) = 0

So the factors of the trinomial are (3x-6) and (x-sqrt(5)).

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The equation of the sinusoidal graph will be y = 3 sin[(2/π)x] - 3.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The graph is represented by the sinusoidal equation.

From the graph, the amplitude of the graph is 3 units and the graph is shifted 3 units down.

And the value of constant k is given as,

k = 4/2π

k = 2/π

Thus, the equation of the sinusoidal graph will be y = 3 sin[(2/π)x] - 3.

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Answer: slope of the line

Step-by-step explanation: I'm not sure if we're talking about the same thing though

Answer: The slope (stands in for m)

Step-by-step explanation:

In a direct variation, the variable m (slope) is swapped for k.

Work Shown:

[tex]45\text{ km}/\text{hr} = \frac{45\text{ km}}{1\text{ hr}}\\\\=\frac{45\text{ km}}{1\text{ hr}}*\frac{1000\text{ m}}{1\text{ km}}*\frac{1\text{ hr}}{60\text{ min}}*\frac{1\text{ min}}{60\text{ sec}}\\\\=\frac{45*1000*1\text{ m}}{1*1*60*60\text{ sec}}\\\\=\frac{45000\text{ m}}{3600\text{ sec}}\\\\=12.5 \text{ m}/\text{s}\\\\[/tex]

Pay close attention to how the conversion fractions are set up on the second line. This placement is done specifically to have the units of "km", "hr", and "min" cancel out. The goal is to be left with "meters" up top and "seconds" down below.

The measures of angles 4 and 5 are:

∠5 = 104°

∠4 =76°

On the image we can see that angles 1 and 2 are next to eachother, that means that the sum of their measures must be a plane angle, that is an angle of 180°.

Then we can write the sum:

∠1 + ∠2 = 180°

(3x + 5) + (2x + 10) = 180

5x + 15 = 180

5x = 180 - 15

x = 165/5 = 33

the measure of angle 5 is the same one of angle 1 then:

∠5 = (3*33 + 5)° = 104°

And angle 4 is supplementary of angle 1, then:

∠4 + 104° = 180°

∠4 = 180 - 104= 76°

These are the measures

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Answer:

Below

Step-by-step explanation:

x^2 -x + 1      Use Quadratic Formula    a = 1    b = -1    c = 1

  to find zeroes   1/2 ±  i sqrt(3) / 3

Sooo.... Not sure you could find it by factoring:

         (x -1/2 +i sqrt(3) /2) (x - 1/2 - i sqrt (3)/2)    would be hard to see !!

As one loaf of bread weighs about 1 pound, the metric measures that are less than 1 pound are:

The pound means the unit of measurement used in the U. S. customary system and the British imperial system to measure weight. One familiar use of pounds is measuring how much a person weighs.

A pound is approximately 0.4535 kilogrammes, so 453.5 grammes. With this information, we can determine that answers 450 grammes and 100 grammes are the only correct ones because they are lesser than 453.5 grammes.

Full question "A loaf of bread weighs about 1pound. Chose all of the metric measures that are less than 1pound. 1kg 0.5kg 500g 450g 100g"

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The simplified result of the polynomial operations is: -14x^5 + 5x^4 + 7x^3 - 4x^2 + x + 17

To complete the polynomial operations and simplify the result, we need to combine like terms. Like terms are terms that have the same variable and the same exponent.

First, let's rewrite the expression to make it easier to see the like terms:
(7x^3 + 3x^4 - x^5 + 12) + (-13x^5 + 2x^4 - 4x^2 + x + 5)

Next, let's combine the like terms:
7x^3 + 3x^4 + 2x^4 - x^5 - 13x^5 - 4x^2 + x + 12 + 5

Simplify the expression by adding or subtracting the coefficients of the like terms:
5x^4 + 7x^3 - 14x^5 - 4x^2 + x + 17

The simplified result of the polynomial operations is:
-14x^5 + 5x^4 + 7x^3 - 4x^2 + x + 17

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Answer: no

Step-by-step explanation:

1         2       3      4    5     6      7    8     9   10    11    12    13   14  15 16   17
13.4 12.8   12.2 11.6 11  10.4  9.8 9.2 8.6  8    7.4  6.8  6.2  5.6 5 4.4  3.8

18  19    20  21

3.2  2.6  2    1.4

With this table, you can see that Diego and his family would only make it to 21 days before the warning light comes on.

Answer:

30 = 2x + 4

Step-by-step explanation:

2x5= 10

30- 10 = 20

20/5= 4

4+2 = 6

Mei gave each student 6 stickers