How will you describe the graph of polynomial function if the degree is odd number and the leading coefficient is positive?

Answer: B) 1/13

Step-by-step explanation:

There are 52 cards. So, there are 52/4 = 13 cards of each amount of hearts, diamonds, clubs and spades. In this case, we're looking for the probability of picking a club. Since there are 13 club cards and we want to know the probability of picking ONE, our answer is b) 1/13.

Considering the definition of probability, the correct answer is option d): if one card is picked at random from the deck, the probability that it is a club is 1/4.

The higher or lower possibility that a particular event will occur is known as the probability. This is, the probability establishes a relationship between quantity of favorable events and the total quantity of possible events.

The ratio of favorable situations (the number of cases in which event A may or may not occur) to all possible cases is used to calculate the the probability of any event A. This is called Laplace's Law:

probability= number of favorable cases÷ total number of possible cases

In this case, you know:

Replacing in the definition of probability:

probability= 13÷ 52

Solving:

porbability= 1/4

Finally, if one card is picked at random from the deck, the probability that it is a club is 1/4.

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Answer:

5x -4 ?

Step-by-step explanation:

Answer:

The even break point is 50 miles

Step-by-step explanation:

We want to know when they are equal so we set them equal.

A = B

A = 40 + .40x

B = 20 + .80x  so

40 + .40x = 20 + .80x

20 = .40x

x = 50

Answer:

12)

a =140º

b=40º

c=40º

d 140º

Step-by-step explanation:

a line is 180º

Answer:

Y= 59* X=20cm?

Step-by-step explanation:

I am not 100% sure but it should be close

If you buy the $4 million CD with a 3.95% annual interest rate and hold it for 150 days, you will collect $4,047,439 at maturity.

To calculate the amount you will collect after 150 days, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the principal amount (initial investment)

r = annual interest rate (as a decimal)

n = number of times the interest is compounded per year

t = time (in years)

In this case, the principal amount is $4 million, the annual interest rate is 3.95% (or 0.0395 as a decimal), and the CD has a 150-day term.

To determine the number of compounding periods in 150 days, we need to consider the compounding frequency. CD interest is typically compounded daily. Therefore, we have:

n = 365 (number of days in a year) / 150 (number of days in the CD term) = 2.4333

Plugging the values into the formula:

A = $4,000,000 * (1 + 0.0395/2.4333)^(2.4333*150/365)

A = $4,047,439

If you buy the $4 million CD with a 3.95% annual interest rate and hold it for 150 days, you will collect $4,047,439 at maturity.

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Answer: 9 students on each bus

Step-by-step explanation: 36 divied by 4 is 9. There is 9 students on each bus.

The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

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The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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Answer:

a = \(\frac{4}{3}\)

Step-by-step explanation:

\(\frac{a}{4}\) - \(\frac{5}{6}\) = - \(\frac{1}{2}\)

multiply through by 12 ( the LCM of 4, 6 and 2 ) to clear the fractions

3a - 10 = - 6 ( add 10 to both sides )

3a = 4 ( divide both sides by 3 )

a = \(\frac{4}{3}\)

Answer:

\(a=\frac{4}{3}\)

Step-by-step explanation:

Move all terms not containing \(a\) to the right side of the equation.

Add \(\frac{5}{6}\) to both sides of the equation.

\(\frac{a}{4}=-\frac{1}{2} +\frac{5}{6}\)

To write \(-\frac{1}{2}\)  as a fraction with a common denominator, multiply by \(\frac{3}{3}\).

\(\frac{a}{4}=-\frac{1}{2}*\frac{3}{3} +\frac{5}{6}\)

Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.

\(\frac{a}{4}=-\frac{3}{2*3} +\frac{5}{6}\)

\(\frac{a}{4}=-\frac{3}{6} +\frac{5}{6}\)

Combine the numerators over the common denominator.

\(\frac{a}{4}=\frac{-3+5}{6}\)

Add \(-3\) and \(5\) .

\(\frac{a}{4}=\frac{2}{6}\)

Cancel the common factor of \(2\) and \(6\).

Factor \(2\) out of \(2\).

\(\frac{a}{4}=\frac{2(1)}{6}\)

\(\frac{a}{4}=\frac{2*1}{2*3}\)

Cancel the common factor.

\(\frac{a}{4}=\frac{1}{3}\)

Multiply both sides of the equation by \(4\).

\(4\frac{a}{4} =4(\frac{1}{3})\)

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of \(4\).

\(a=4(\frac{1}{3})\)

Simplify the right side.

Combine \(4\) and \(\frac{1}{3}\)

\(a=\frac{4}{3}\)

By the using this method. We get, the correct determinant is 68.

Given Determinant:

\(\left|\begin{array}{ccc}1&0&-4\\3&-4&0\\-1&-4&1\end{array}\right|\)

\((-1)\left|\begin{array}{cc}-4&0\\-4&1\end{array}\right] +0\left|\begin{array}{cc}3&0\\-1&1\end{array}\right|+(-4)\left|\begin{array}{cc}3&-4\\-1&-4\\\end{array}\right|\)

= (-1)(-4-0) +0 - 4(-12 -4)

= -1 (-4) + 0 -4(-16)

= 4 + 64

= 68.

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Complete Question:

The expansion of a 3×3 determinant can be remembered by this device. write a second copy of the first two columns to the right of the​ matrix, and compute the determinant by multiplying entries on six diagonals. add the downward diagonal products and subtract the upward products. use this method to compute the following determinant.

\(\left|\begin{array}{ccc}1&0&-4\\3&-4&0\\-1&-4&1\end{array}\right|\)

Answer:

  p(x) = -x⁵ -4x⁴ +9x³ +40x² +4x -48

Step-by-step explanation:

You want a polynomial of 5th degree with x-intercept (3, 0), point (-2, 0) a local maximum, and a limit as x→-∞ of p(x)→∞.

The requirements placed on the polynomial mean that the graph will cross the x-axis at x=3 and will touch the x-axis from below at x=-2. The touch from below means the zero at x=-2 must have even multiplicity. That multiplicity can only be 2 in order for the other requirements to be met.

Since the polynomial is positive for large negative x-values, the leading coefficient must be negative, and there must be a zero that is less than -2.

So far, we have four (4) zeros accounted for, but we need 5. The 5th zero must be greater than -2.

For the polynomial shown in the graph, we have elected to have zeros at x=-4 and x=1. Each zero at x=q means (x-q) is a factor. The multiplicity of the zero is the exponent of the factor.

This makes the factored form be ...

  p(x) = -(x +4)(x +2)²(x -1)(x -3)

The expanded form is ...

  p(x) = -x⁵ -4x⁴ +9x³ +40x² +4x -48

The following linear equation gives Johnny's savings w weeks after her opened the account.

S(w) = $95 + $15*w

We know that initially, Johnny deposits an amount of $95, and then he saves $15 per week.

So, after w weeks, the amount in that savings account will be:

S(w) = $95 + $15*w

This linear equation gives the bank account balance w weeks after her opened the account.

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Answer:

\(\boxed{k=\frac{p}{r \ s} }\)

Second option is correct.

Step-by-step explanation:

We have been given that p varies jointly with r and s.

Thus, we can write it mathematically as

\(p=krs\)

Here, k is the constant of variation.

Now, we have to find the value of k.

Divide the above equation by rs

\(\dfrac{p}{r \ s}=\dfrac{kr\ s}{rs}\)

\(k=\dfrac{p}{r s}\)

Hence, the value of k is \(k=\dfrac{p}{r s}\)

Second option is correct.

Answer:

B

Step-by-step explanation:

edge 23

Answer: 7 minutes

Step-by-step explanation:

There is no n variable in the question, found the original question and the equations is: t = 2n – 3.

So, to answer this question we simply have to substitute n=5 in the equation given:

t = 2(5) – 3.

Solving for t(time)

t = 10-3 = 7 min.

It will take the customer 7 minutes to buy 5 coffees.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

B

Step-by-step explanation:

Answer:

48to41, 48:41, 48/41

Step-by-step explanation:

if this is incorrect try

48to41, 48:41, 41/48

Answer:

(1,-1)

Step-by-step explanation:

-2x-1 = x+2

-3x = 3

x = -1

substitute

y = (-1) + 2

y = 1

point: (1,-1)

Using the average rate of change, it is found that the average rate is of:

(1) 2.1 °F per minute

It is given by the change in the output divided by the change in the input.

In this problem:

Hence, in 30 minutes, the temperature increased 63ºF, hence the rate is given by:

r = 63/30 = 2.1 °F per minute.

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Answer:

1001

Step-by-step explanation:

Answer:

1001 (A)

Step-by-step explanation:

Answer:

22 gallons of gas

16+6=22

Step-by-step explanation:

can i please have brainliest

Answer:

it's C

Step-by-step explanation:

edge 2020

Answer:

it should be A

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Answer:

Step-by-step explanation:

let the number be x and y

then  from first condition

x - y = 3

x = y + 3

again from second condition

1/ x + 1/ y = 7 / 10

1/(y+3) + 1/y = 7 / 10

y + (y+3) = 7/ 10 y(y+3)

10(2y + 3) = 7y² + 21y

or, 7y² + 21y - 20y - 30 = 0

or, 7y² + y - 30 = 0

0r, 7y² - 14y + 15y - 30 = 0

or, ( y-2) ( 7y + 15) = 0

either

y = 2 0r -15/7

if two number are natural then two is only valid number

again from first condition

x - y =3

x - 2 = 3

x =5

Answer:

x=-2

Step-by-step explanation:

7x-11=-19+3x

7x-3x=-19+11

4x=-8

4x/4=-8/4

x=-2

Answer:

The cylinder with maximum volume has a radius of √(20 / 3π) and a height of 0. The maximum volume is V = π(20 / 3π)^2(0) = 0

Step-by-step explanation:

Let's assume the height of the cylinder is also variable and denoted by "h", and the radius of the cylinder is denoted by "r". The surface area of the cylinder is given by:

A = 2πrh + 2πr^2

The cost of the packaging is $0.10 per square cm, and the total cost of packaging should not exceed $4. Therefore, we can write:

0.10(2πrh + 2πr^2) ≤ 4

Simplifying this inequality, we get:

πrh + πr^2 ≤ 20

Now, we want to maximize the volume of the cylinder, which is given by:

V = πr^2h

Using the inequality we derived above, we can express h in terms of r:

h ≤ (20 - πr^2) / πr

Substituting this expression for h in the formula for V, we get:

V = πr^2[(20 - πr^2) / πr]

Simplifying this expression, we get:

V = 20r - πr^3

To find the maximum volume, we need to find the value of r that maximizes V. To do this, we take the derivative of V with respect to r and set it equal to zero:

\(dv/dr\)= 20 - 3πr^2 = 0

Solving for r, we get:

r = √(20 / 3π)

Substituting this value of r back into the inequality we derived earlier, we can find the corresponding value of h:

h = (20 - πr^2) / πr

h = (20 - 20) / (√(3π))

h = 0

Therefore, the cylinder with maximum volume has a radius of √(20 / 3π) and a height of 0. The maximum volume is V = π(20 / 3π)^2(0) = 0

Note that this means the cylinder has no volume and therefore cannot be packaged. In other words, it is not possible to design a cylindrical package with a volume greater than zero that costs less than $4.

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Answer:

Step-by-step explanation:

200-2x

Answer:

Step-by-step explanation:

150+2x

The shortest total length of fence needed to divide a rectangular field with a total area of into three equal areas is X units.

To divide the rectangular field into three equal areas, the most efficient way is to create two parallel fences that divide the field into three equal strips. The length of these two fences will be equal to the width of the field. Another fence is then required to divide one of the strips into two equal areas. This third fence will have a length equal to the length of the field. Therefore, the total length of fence needed is the sum of the width and length of the field.

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