find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.​

The carrot ate by Fluffy the bunny at the night will be equal to 2/4 or 1/2.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Carrot ate by bunny in the morning = 1/4

Then, carrot left after ate by bunny = 1- 1/4 = 3/4

Assume that the amount of carrot ate at the night be x.

Then, the carrot left = 1/4

So, the equation will be,

3/4 - x = 1/4

x = 3/4 - 1/4

x = 2/4 or,

x = 1/2.

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Let's simplify each expression shown in the exercise:

Option a

Given:

You can apply the Product of powers property. This states the following:

Where "b" is the base and "n" and "m" are exponents.

Then, you get:

By definition:

Therefore:

The expression given in Option a is equal to 1.

Option b

Knowing that any number or expression with exponent zero is equal to 1, you get that:

The expression given in Option b is equal to 1.

Option c

Given:

You can notice that the numerator and the denominator are equal, then:

The expression given in Option c is equal to 1.

Option d

Given:

You can simplify it using the Quotient of powers property, which states that:

Then, you get:

The expression given in Option d is not equal to 1.

The answer is: Option d.

Answer:

There are 5 ducks

Step-by-step explanation:

2 ducks behind

1 duck in the middle

2 ducks infront

if 15 x 1.8 = 27 then

45 x 1.8 = 81

so answer: B) 81

the correct answer is C. 1) Abril2) En el mes de Agosto hubo 100 visitantes.

The given bar graph illustrates the number of visitors who visited a museum of a city throughout a year.Based on the graph provided, we can answer the given questions as follows:1) In which month there were the highest number of visitors to the museum?We can see from the graph that the highest number of visitors visited the museum in the month of May, which is equal to 160 visitors. Thus, the correct answer is D. 1) Mayo2) En el mes de Agosto hubo 120 visitantes.2) How many visitors did the month of August have?We can see from the graph that in the month of August there were 100 visitors.

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Answer: 1 left

Step-by-step explanation:

2-1 = 1

Answer: x=4+2i , x=4-2i hope this helps tho :>

Step-by-step explanation

The solutions to the equation x 2 −8x+20=0 are x= 10,-2.

The equation  x 2 −8x+20=0  can be written as (x-10) (x+2) = 0

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

x-10=0

x+2=0

so, the solution to the equation x 2 −8x+20=0 are x=10 and x=-2.

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The output of print(1+3/2*2) is 5.0

This is because the order of operations in arithmetic dictates that multiplication and division should be performed before addition and subtraction.

So, first 3/2 is evaluated which gives 1.5, then 1.5 is multiplied by 2 to give 3, and finally, 1 is added to 3 to get the result of 5.0. Hence, 5.0 will be printed by the print (1+3/2*2).

Note that the result is a floating-point number because division between two integers in Python 3. x always results in a float, even if the result is a whole number.

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Answer:

Step-by-step explanation:

4x + 9 + 3x + 3 = 33

7x + 12 = 33

7x = 21

x = 3

HJ= 4(3) + 9 = 12 + 9 = 21

JK= 3(3) + 3 = 9 + 3 = 12

Answer:

x=50°

Step-by-step explanation:

Since a right triangle equals a total area of 180°
you have 40° given and since it is a right triangle you also have 90° given so all we have to do is add 40° + 90° = 130° subtract 130° - 180° which would give you 50°

Answer:

x= 50 °

Step-by-step explanation:

all angles of a triangles is equal to 180

x= 180° - (90° +40°)

x= 180° - 130°

x= 50°

Answer:

x-5+1

Step-by-step explanation:

This equation shows x as the quantity of the number, hope this helps!

Option (A) is the correct option and on simplifying the expression by combining like terms we get,

24 - 3p.

Here, we have,

Given, the expression 6(4 - 2p) + 9p

On simplifying, we get

24 - 12p + 9p

24 - 3p

So, on simplifying the given expression, we get

24 - 3p

Hence, Option (A) is the correct option and on simplifying the expression by combining like terms we get,

24 - 3p

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Answer:

3.88

Step-by-step explanation:

y = 23.28/6 x

y = 3.88 x

so, the constant of proportionality is 3.88

The probability of randomly selecting a score that is more than 2 standard deviations below the mean is B: .025. In a normal distribution, approximately 95% of the data falls within two standard deviations of the mean.

This means that there is only a small percentage (5%) of the data that falls beyond two standard deviations from the mean.
When selecting a score that is more than 2 standard deviations below the mean, we are looking for the area under the curve that falls beyond two standard deviations below the mean. This area is equal to approximately 2.5% of the total area under the curve, or a probability of .025.
To calculate this probability, we can use a z-score table or a calculator with a normal distribution function. The z-score for a score that is 2 standard deviations below the mean is -2. Using the z-score table, we can find the corresponding area under the curve to be approximately .0228. Since we are interested in the area beyond this point (i.e., the tail), we subtract this value from 1 to get .9772, which is approximately .025.

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Answer:

sila put a wrong number in her calculator when multiplying the numerators

Step-by-step explanation:

Sila jogged 12 kilometers today and wants to know how far she traveled in feet. what error did sila make while converting from kilometers to feet?

StartFraction 12 kilometers Over 1 EndFraction times StartFraction 0.62 miles Over 1 kilometer EndFraction times StartFraction 5280 feet Over 1 mile EndFraction = 392,832 feet

sila put a wrong number in her calculator when multiplying the numerators.

1 km sila's first fraction should be 0 62 mi 1 mi

sila's last fraction should be 5280 ft

sila forgot to divide by 0 62 asap

(12kilometers / 1 ) × (0.62 miles / 1 kilometer) × 5280 / 1 mile

12 kilometers = 39,370.079 feet

1 kilometer = 0.621 miles

sila put a wrong number in her calculator when multiplying the numerators

Answer:

sila put a wrong number in her calculator when multiplying the numerators

Step-by-step explanation: i know UwU

Answer:

sorry i cannot do this

Step-by-step explanation:

i am sorry

In general, different refrigerants should not be mixed or recovered into the same cylinder.

Different refrigerants have unique chemical compositions and properties that make them incompatible with one another. Mixing different refrigerants can lead to unpredictable reactions, loss of refrigerant performance, and potential safety hazards. Therefore, it is generally recommended to avoid recovering different refrigerants into the same cylinder.

When recovering refrigerants, it is important to use separate recovery cylinders or tanks for each specific refrigerant type. This ensures that the refrigerants can be properly identified, stored, and recycled or disposed of in accordance with regulations and environmental guidelines.

The refrigerant recovery process involves capturing and removing refrigerant from a system, storing it temporarily in dedicated containers, and then transferring it to a proper recovery or recycling facility. Proper identification and segregation of refrigerants during the recovery process help maintain the integrity of each refrigerant type and prevent contamination or cross-contamination.

To maintain the integrity and safety of different refrigerants, it is best practice to recover each refrigerant into separate cylinders. Mixing different refrigerants in the same cylinder can lead to complications and should be avoided. Following proper refrigerant recovery procedures and guidelines helps ensure the efficient and environmentally responsible management of refrigerants.

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The number of different refrigerants that may be recovered into the same cylinder is zero.

When it comes to refrigerants, it is important to understand that different refrigerants should not be mixed together. Each refrigerant has its own unique properties and should be handled and stored separately. mixing refrigerants can lead to chemical reactions and potential safety hazards.

The recovery process involves removing refrigerants from a system and storing them in a cylinder for proper disposal or reuse. During the recovery process, it is crucial to ensure that only one type of refrigerant is being recovered into a cylinder to avoid contamination or mixing.

Therefore, the number of different refrigerants that may be recovered into the same cylinder is zero. It is essential to keep different refrigerants separate to maintain their integrity and prevent any adverse reactions.

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The discount amount was $232.80, and the new selling price of the computer system after the discount was applied was $543.20.

First, we need to calculate the amount of the discount. We can do this by multiplying the original price of the computer system by the percentage discount:

Discount = 30% x $776

Discount = 0.30 x $776

Discount = $232.80

So, the discount offered by the store is $232.80.

Next, we need to calculate the new selling price of the computer system after the discount has been applied. To do this, we need to subtract the discount amount from the original price:

New Selling Price = Original Price - Discount

New Selling Price = $776 - $232.80

New Selling Price = $543.20

Therefore, the new selling price of the computer system after the discount is $543.20.

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Complete Question:

A computer store buys a computer system at a cost of $465.60. The selling price was first at $776, but then the store advertised a 30% markdown on the system.

A) Find the new selling price. Round to the nearest cent if necessary.

ITS NOT LETTING ME TYPE thje naswer

To minimize their royal costs to $200, the number of Donovan songs to include is 15 and the number of Beatles songs to include is 5.

Ratios are numerical relationships between variables that show how much each variable is contained in another.

Ratios are stated in fractions, percentages, or decimals.

Total songs to include in the song = 20

The ratio of Donovan and Beatles = 5:1.5

The number of Donovan songs to include = 15 (20/6.5 x 5)

The number of Beatles songs to include = 5 (20/6.5 x 1.5)

Royalty cost per Donovan song = $11

Royalty cost per Beatles song = $7

Total royalty costs for Donovan and Beatles song = $200 ($11 x 15 + $7 x 5)

Thus, the number of Donovan songs to include is 15 and the number of Beatles songs to include is 5.

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Aji and Sunshine want to make a CD of songs from the 1960s to donate to their school library to be broadcast during school picnics. Sunshine's parents were big fans of the 60s singer Donovan, and they named her after his song "Sunshine Superman." Aji's folks were devotees of the Beatles. Aji and Sunshine want their CD to consist entirely of songs by Donovan and the Beatles. Because Sunshine is named after a Donovan song, she wants to include at least as many Donovan songs as Beatles songs. Aji agrees. In return, Sunshine agrees to include at least five Beatles songs. 5 1.5 To provide enough variety to make the mix interesting, they decide to include at least 20 songs altogether.

The value of the given double integral ∫∫ (10y)/(x^5+1) dxdy over the region R defined by y = 0, x = √y, and the limits of integration y = 0 to y = 1 is approximately 4.763.

To evaluate this double integral, we can follow these steps:

Begin by integrating with respect to x. The integral of (10y)/(x^5+1) with respect to x becomes [5ln(x^5+1)].

Next, substitute the limits of integration for x. Since x = √y, the integral becomes [5ln((√y)^5+1)].

Now, we have a single integral in terms of y. Integrate [5ln((√y)^5+1)] with respect to y from y = 0 to y = 1.

Simplify the integral and evaluate it using the fundamental theorem of calculus or numerical methods, such as Simpson's rule or numerical integration techniques.

After performing the calculations, the result is approximately 4.763, which represents the value of the given double integral over the specified region.

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Answer:

a

Step-by-step explanation:

Answer:

how am i supposed to know

Step-by-step explanation:

Step-by-step explanation:

you can just put in some values to check.

I actually used p =2 and q=3

the It will be

2^3-1 + 3^2-1 = 1 (mod 2×3)

2^2 +3^1 = 1 (mod 6)

4+3= 1 (mod6)

7= 1 (mod6)

which is true.

therefore p^(q-1) + q^( p-1) = 1 ( mod pq) is true

To show that p^(q-1) + q^(p-1) = 1 (mod pq), we can use Fermat's Little Theorem, which states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) = 1 (mod p). Using this theorem, we can first show that p^(q-1) = 1 (mod q), since q is a prime number and p is not divisible by q. Similarly, we can show that q^(p-1) = 1 (mod p), since p is a prime number and q is not divisible by p.

Therefore, we can write:

p^(q-1) + q^(p-1) = 1 (mod q)
p^(q-1) + q^(p-1) = 1 (mod p)

By the Chinese Remainder Theorem, we can combine these two equations to obtain:

p^(q-1) + q^(p-1) = 1 (mod pq)

Thus, we have shown that p^(q-1) + q^(p-1) = 1 (mod pq).
We'll use Fermat's Little Theorem to show that p^(q-1) + q^(p-1) = 1 (mod pq).

Fermat's Little Theorem states that if p is a prime number and a is an integer not divisible by p, then:
a^(p-1) ≡ 1 (mod p)

Step 1: Apply Fermat's Little Theorem for p and q:
Since p and q are prime numbers, we have:
p^(q-1) ≡ 1 (mod q) and q^(p-1) ≡ 1 (mod p)

Step 2: Add the two congruences:
p^(q-1) + q^(p-1) ≡ 1 + 1 (mod lcm(p, q))

Step 3: Simplify the congruence:
Since p and q are prime, lcm(p, q) = pq, so we get:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

In your question, you've mentioned that the result should be 1 (mod pq), but based on Fermat's Little Theorem, the correct result is actually:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

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Answer:

-5

Step-by-step explanation:

The required graph of the line y = -2/3x + 8 has been shown.

As mentioned, draw the graph of the line y = -2/3x + 8.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

here,
Given the equation of the line,
y = -2/3x + 8
The slope of the line is m = -2/3 and the y-intercept of the graph is 8,

Thus, The required graph of the line y = -2/3x + 8 has been shown.

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Answer: The  Final results:- 7^10 mod 11 = 1

- (14 * 161 - 7) mod 5 = 2

Step-by-step explanation:

Let's calculate the given expressions step by step:

1. Calculate 7^10 mod 11:

To calculate this, we can use the property of modular exponentiation. We'll perform the exponentiation and then take the modulus.

Step 1: Compute 7^10:

7^10 = 282,475,249

Step 2: Take the modulus:

282,475,249 mod 11 = 1

Therefore, 7^10 mod 11 is equal to 1.

2. Calculate (14 * 161 - 7) mod 5:

Here, we'll first perform the multiplication and subtraction, and then take the modulus.

Compute 14 * 161:

14 * 161 = 2,254

Subtract 7:

2,254 - 7 = 2,247

Take the modulus:

2,247 mod 5 = 2

Therefore, (14 * 161 - 7) mod 5 is equal to 2.

Final results:

- 7^10 mod 11 = 1

- (14 * 161 - 7) mod 5 = 2

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Answer:

35 :)

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

D = Divide

M = Multiply

S = Subtract

B = Bring down

The poles of X(s) are at s = -3 and s = -4, and the zero is at s = -2.

The signal z(t) corresponding to ROC1 is z1(t) = e^-2t u(t), the signal corresponding to ROC2 is z2(t) = -e^-3t u(t) + e^-2t u(t), and the signal corresponding to ROC3 is z3(t) = -e^-3t u(t).

Given, Laplace transform of X(s) is 2(s + 2) X(s) = s² + 7s + 12

We need to find the poles and zeros of X(s).

Determine all possible ROCs of X(s) and then the signal z(t) corresponding to each of the ROCS.

Poles and zeros of X(s)

To find the poles and zeros of X(s), we first need to write X(s) in factored form.

2(s + 2) X(s) = s² + 7s + 12 2(s + 2) X(s) = (s + 3) (s + 4) X(s) = (s + 3)/2 (s + 4)/2

The poles of X(s) are the values of s for which X(s) is undefined. From the above equation, the poles of X(s) are s = -3 and s = -4.

The zeros of X(s) are the values of s for which X(s) becomes zero. From the above equation, the zeros of X(s) is s = -2. Hence, the poles of X(s) are at s = -3 and s = -4, and the zero is at s = -2.

ROC (Region of Convergence)

We need to find the region of convergence for X(s). ROC is defined as a region in the complex plane such that X(s) converges. We know that Laplace transform exists only for right-sided signals. Thus, X(s) should converge for some region to the right of the right-most pole (-4 in this case).

Hence, the possible ROCs are given as follows.

ROC1: -4 < Re(s)

ROC2: -3 < Re(s) < -4

ROC3: Re(s) < -3.

Now, we need to find the signal corresponding to each of the ROCs.

Let's start with ROC1.

ROC1: -4 < Re(s)

For this region, X(s) converges for all s such that the real part of s is greater than -4. The inverse Laplace transform of X(s) for ROC1 can be obtained by using the following expression.

(1)Z1(t) = inverse Laplace transform of X(s) for ROC1= e^-2t u(t)

Now, let's find the signal for ROC2.

ROC2: -3 < Re(s) < -4

For this region, X(s) converges for all s such that the real part of s is between -3 and -4. The inverse Laplace transform of X(s) for ROC2 can be obtained by using the following expression.

(2)Z2(t) = inverse Laplace transform of X(s) for ROC2= -e^-3t u(t) + e^-2t u(t)

Now, let's find the signal for ROC3.

ROC3: Re(s) < -3.For this region, X(s) converges for all s such that the real part of s is less than -3. The inverse Laplace transform of X(s) for ROC3 can be obtained by using the following expression.

(3)Z3(t) = inverse Laplace transform of X(s) for ROC3= -e^-3t u(t)

Hence, the signal z(t) corresponding to ROC1 is z1(t) = e^-2t u(t), the signal corresponding to ROC2 is z2(t) = -e^-3t u(t) + e^-2t u(t), and the signal corresponding to ROC3 is z3(t) = -e^-3t u(t).

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