Which face has an area of 28 cm2?

The end behavior of the polynomials are as follows;

(a) y = x³ - 9·x² + 8·x - 14

End behavior; y → ∞ as x → ∞

\({}\)                        y → -∞ as x → -∞

(b) y = -8·x⁴ + 13·x + 800

End behavior; y → -∞ as x → -∞

\({}\)                        y → -∞ as x → ∞

The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.

The factors that effect the end behavior of a polynomial are;

The degree of the polynomial, (even or odd)

The sign of the leading coefficient of the polynomial (positive or negative)

The leading coefficient is the coefficient of the term with the highest degree.

(a) The polynomial, function, y = x³ - 9·x² + 8·x  - 14

The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;

y tends to positive infinity as x tends to positive infinity

y tends to negative infinity as x tends to negative infinity

End behavior;

y → ∞ as x → ∞

y → -∞ as x → -∞

(b) The polynomial function can be expressed as follows;

y = -8·x⁴ + 13·x + 800

The above polynomial of degree 4 is an even degree polynomial

The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative

The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;

y-values approaches negative infinity as x approaches negative infinity

y-values approaches negative infinity as x approaches positive infinity

End behavior;

y → -∞ as x → -∞

y → -∞ as x → ∞

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To construct a frequency distribution and frequency histogram of the data using five classes, we first need to determine the range of the data and the class interval.

The range is the difference between the highest and lowest values in the data set, in this case, 98 - 1 = 97.

We can divide the range by the number of classes to determine the class interval. In this case, 97/5 = 19.4.

We will round up to 20 to have easily divisible numbers.

The class intervals with the frequency would be:

1-20: 3

21-40: 2

41-60: 0

61-80: 3

81-100: 2

Next, we need to create a frequency histogram by plotting the class intervals on the x-axis and the frequencies on the y-axis, and then drawing a bar for each class interval representing the frequency.

The histogram will be skewed right. A histogram is skewed right when the tail of the histogram extends farther to the right than the left. In this case, the majority of the data falls in the lower class intervals, but there are a few outliers on the higher end, which extends the histogram to the right.

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Diameter of round bud is 22.29 m.

Given that,

The circumference of round bud = 70 m

We have to calculate its diameter,

Since we know that,

Its shape is circular,

Since,

The circumference of the circle, also known as the perimeter of the circle, is the measurement of the circle's boundary. The area of a circle, on the other hand, specifies the territory it occupies. If we open a circle and draw a straight line through it, the length of the line equals the circumference.

S,

⇒ Circumference = 2πr

Where r is radius of circle,

⇒ 70 = 2πr

⇒   r = (70/2x3.14)

⇒   r = 11.14

Here we know that,

Diameter = 2r

Hence,

Diameter = 22.29 m

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The amount of money increases by $125,000 due to the decrease in the reserve rate. The correct answer is B. It increases the amount by $125,000.

When the Federal Reserve decreases the reserve rate, it allows banks to hold a smaller portion of their deposits as reserves and lend out a larger portion. This change stimulates lending and increases the money supply in the economy through the process of fractional-reserve banking.

In this scenario, the initial deposit of $15,000 can be multiplied by the money multiplier, which is the reciprocal of the reserve rate. Initially, with a reserve rate of 6%, the money multiplier is 1/0.06 = 16.67. Therefore, the initial deposit can lead to a maximum increase in the money supply of $15,000 x 16.67 = $250,050.

When the reserve rate is decreased to 4%, the money multiplier becomes 1/0.04 = 25. Therefore, the same initial deposit of $15,000 can now result in a maximum increase in the money supply of $15,000 x 25 = $375,000.

The difference between the two scenarios is $375,000 - $250,050 = $124,950, which is approximately $125,000. Hence, the amount of money increases by $125,000 due to the decrease in the reserve rate.

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Answer:

1560 breaths

Step-by-step explanation:

130/5=26

26*60

1560 breaths

Answer:

slope = 4

points on graph = (0,0), (1,4)

Step-by-step explanation:

line going through quadrants 1 and 3. Straight line.

A member of the senate will serve for (h+4) years.

An expression, in mathematics, is a finite set of combinations and/ or numbers and variables that accurately represents the the context in question. When two or more expressions are connected using the equality sign then an equation is formed.

Here, we are given that in the US government a member of the senate serves for 4 years longer than a member of the House of Representatives.

Also the House of Representatives serves for- h years

Thus, the number of years a member of the Senate will serve will be 4 more than the number h

= h + 4

Thus, a member of the senate serves for (h+4) years.

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Answer:

[4] Function

[5] Not a function

[6] Function

Step-by-step explanation:

    The vertical line test is a test to determine if the line graphed is a function. Taking a vertical line, you move it left and right through the graph. If, at any point, there are two or more intersections in the vertical line, the graph is not a function.

     4 and 6 pass the test meaning they are functions, 5 does not.

Answer:

76ft^3

Step-by-step explanation:

Volume of a cube is Length x Width x Height, basically: 4 x 4 x 4 which is 64 ft^3. Add that to the small box gives you 64 + 12 or just 76 ft^3

Answer:

1,4,5 got it right on the test

Step-by-step explanation:

Answer: B; 8p \geq 38

Step-by-step explanation:

(Please respond if I'm wrong)

The current answers are:

A || B || C || D || E

It can't be E, nor D, because we need a full slice for everyone, and there is only 8 slices per pie.

So, these are the current answers:

A || B || C

8p < 38 isn't the right choice, since 8p is less than 38 people.

So, these are the current answers:

A || B

38 \geq 8p isn't the right answer as well, since the people can't be greater than the slices

The right answer is B; 8p \geq 38. The reason is because the slices have to be greater than the amount of people.

Answer:

[See Below]

Step-by-step explanation:

\(Hey~There!\)

________________________

➜ Turn into scientific notation :

________________________

So the answer is \(\bold8\bold.\bold9\bold0\bold0\bold0\bold0\bold0\bold9\bold*\bold1\bold0^{\bold8}\).

________________________

\(Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane\) ヅ

Answer:

The number 890000090 can be written as 8.90 × 10^8 in scientific notation.

Answer:

What is a linear function? A linear function is a function whose graph is a straight line. The rate of change of a linear function is constant. The function shown in the graph below, y = x + 2, is an example of a linear function.

Graph of linear function

Graph of linear function

A linear function has a constant rate of change. The rate of change is the slope of the linear function. In the linear function shown above, the rate of change is 1. For every increase of one in the independent variable, x, there is a corresponding increase of one in the dependent variable, y. This gives a slope of 1/1 = 1.

A linear function is typically given in the form y = mx + b, where m is equal to the slope, or constant rate of change.

Examples of linear functions include:

If a person drives at a constant speed, the relationship between the time spent driving (independent variable) and the distance traveled (dependent variable) will remain constant.

Assuming no change in price, the relationship between the number of pounds of bananas a person buys (independent variable) and the total cost of the bananas (dependent variable) will remain constant.

If a person earns an hourly wage at their job, the relationship between the time spent working (independent variable) and the amount earned (dependent variable) will remain constant.

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Exponential Functions

What is an exponential function? An exponential function is a function that involves exponents and whose graph is a smooth curve. The rate of change in an exponential function is not constant. The functions shown in the graph below, y = 0.5x and y = 2x, are examples of exponential functions.

Graphs of exponential functions

Graphs of exponential functions

An exponential function does not have a constant rate of change. The rate of change in an exponential function is the value of the independent variable, x. As the value of x increases or decreases, the rate of change increases or decreases as well. Rather than a constant change, as in the linear function, there is a percent change.

An exponential function is typically given in the form y = (1 + r)x, where r represents the percent change.

Examples of exponential functions include:

Step-by-step explanation:

Answer:

10/3

Step-by-step explanation:

Because it is next.

The entropy of the outcome of this experiment = 9

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given that,

A coin having probability p=2/3

Heads is flipped 6 times

If the coin is flipped 6 times

The Total Number of Trial in the Experiment =2/3

It comes up heads 6 times

This Means: Number of Successful Outcome of HEADS =6

In an experimental probability,

Experimental probability of the coin’s coming up heads

=Number of Successful Outcome of HEADS/Total Number of Trials in the Experiment

= 6/(2/3)

= 6*3/2

= 18/2

= 9

Therefore,

The entropy of the outcome of this experiment = 9

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Answer:

16 oz

Step-by-step explanation:

the ratio is 3 oz of oj to 1 oz of seltzer.

I pretty much just divided 48 by 3.

I hope this is correct and I hope it helps you!

Answer:

gdjlicnoirfbmlyrsrloydfbm

Tenemos dos problemas de proporciones.

Las soluciones son:

A) Lamentablemente el primero está incompleto, lo reescribamos como:

"en una caja de 36 naranjas, si 6 se han descompuesto, ¿qué parte del contenido de la caja se desperdicia?"

Solo para mostrar la matemática que se necesita para este tipo de problemas.

La parte que del contenido de la caja que se desperdicia será igual al cociente entre el número de naranjas que se desperdician y el número total de naranjas, o sea:

p = 6/36 = 1/6

Se desperdicia 1/6 del contenido de la caja.

B) Sabemos que la pizza originalmente tiene 8 porciones.

Luego tu papá, hermano, y tía comen una porción (3 en total)

Entonces quedan: 8 - 3  = 5 porciones.

La parte que queda será el cociente entre lo que queda y la cantidad inicial, o sea:

p = 5/8.

Quedan 5/8 de la pizza.

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Answer:

46

ayo how r u doin siahsvsgshsgsgsgsg

Answer:

$465 for that week

Step-by-step explanation:

Since Morgan makes $15.50 an hour and she works for 30 hours the answer would be multiplication which would be this:

$15.50 × 30 = $465

Hope this Helps :)

Answer:

she earned $465

Step-by-step explanation:

you multly the money by the hours

$15.50 x 30= 465

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer: The slope is 7/5

Step-by-step explanation:

(-2,2) and (3,9)

The slope formula is \(m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}\)

Lets insert our numbers into there!

\(m=\frac{9-2}{3- -2}\)

m= 7/5

Hope this helps! <33

The equation of the line that is parallel and perpendicular to y = -8x + 6 and passes through the point (7, 5) are y = -8x + 61 and  \(y = \frac{1}{8}x + \frac{33}{8}\) respectively.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line:

y = -8x + 6

Using the slope intercept:

Slope m = -8

Since the desired line is parallel, it will have the same slope.

Therefore, the slope of the parallel line is also -8.

Plug in the slope m = -8 and the poin (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

( y - 5) = -8( x - 7 )

Simplify

y - 5 = -8x + 56

y = -8x + 56 + 5

y = -8x + 61

The equation of the parallel line is y = -8x + 61.

For the perpendicular line:

The slope of the perpendicular line will be the negative reciprocal of -8, which is 1/8.

Hence, plug slope m = 1/8 and point (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

\(y - 5 = \frac{1}{8} ( x + 7 )\\\\y - 5 = \frac{1}{8}x + \frac{7}{8} \\\\y = \frac{1}{8}x + \frac{7}{8} + 5\\\\y = \frac{1}{8}x + \frac{33}{8}\)

Therefore, the perpendicular line is \(y = \frac{1}{8}x + \frac{33}{8}\).

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Answer:

3.5944

Step-by-step explanation:

first the fraction is mixed and you need to change the fraction to proper or improper fraction

the denominator 4 is multiply 16

16×4=64

then the numerator 3 is add to 64

64+3=67

the fraction will be

=====67/4

the denominator is not change from the first part

》》do the same thing by the other mixed fraction

the final answer would be 3.5944

first calculate 67÷4=16.75

the second calculate 14÷3=4.66

in the second part i get 14/3 that means i change the mixed fraction to the normal fraction

calculate 16.75÷4.66=3.5944

9514 1404 393

Answer:

  no

Step-by-step explanation:

It is close, but not exactly a right triangle.

If it were a right triangle, we would have ...

  21² +70² = 73²

We have instead ...

  441 +4900 ≠ 5329

  5341 ≠ 5329 . . . . . . . . not a right triangle

Answer:

Simplify the expression.

Exact Form:

48 /5

Decimal Form:

9.6

Mixed Number Form:

9  3 /5  Is what I believe sorry if i got this wrong but i hope this was helpful!

Answer:

8. Absolute values are always positive.

The length of arc RS on circle X is 17.99 centimeters.

To find the length of arc RS on circle X, we need to calculate the circumference of the entire circle and then determine what portion of the circumference is represented by the central angle of 110 degrees.

The circumference of a circle is given by the formula C = 2πr, where r is the radius. In this case, the radius of circle X is 9 centimeters, so the circumference is C = 2π(9) = 18π centimeters.

To find the length of arc RS, we need to determine what fraction of the entire circumference is represented by the central angle of 110 degrees. A full circle has 360 degrees, so the fraction of the circumference represented by the central angle is 110/360.

To find the length of arc RS, we multiply the fraction of the circumference by the total circumference of the circle. Therefore, the length of arc RS is (110/360) * 18π.

Simplifying the expression, we have (110/360) * 18π = (11/36) * 18π.

Canceling out the common factors, (11/36) * 18π = (11/2)π.

Now, we can approximate the value of π as 3.14. Therefore, the length of arc RS is (11/2) * 3.14.

Calculating the approximate value, we have (11/2) * 3.14 ≈ 17.99 centimeters.

Therefore, the approximate length of arc RS on circle X is approximately 17.99 centimeters.

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Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

9514 1404 393

Answer:

Step-by-step explanation:

Let g represent the age of the garden. Then the age of the tree is 15g. The sum of their ages is ...

  g +15g = 128

  16g = 128 . . . . . collect terms

  g = 128/16 = 8 . . . . divide by the coefficient of g

The garden is 8 years old; the tree is 120 years old.