Given that a is in Quadrant 2 and cos(a) = give an exact answer for the following: a sin(20) b. cos(2a) c. tan(20) = 2. Given that B is in Quadrant 4 and sin(B) = give an exact answer for the following: a sin(25) = b.cos(2B) c. tan(28) . Decimal approximations are not allowed for this problem, • Enter your answer in exact form. • Use "sqrt()" to represent.

Answer:

23

Step-by-step explanation:

GCF of 4 is 2 and GCF of 30 is 6.

2(2*x)-6(5*y)

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hope it helps

11(4)=55

44=55

f=55÷44

f=1.25(-3)

-3.75

The fluid has a mass density of 1060 kg/m³, we can multiply the net volume by 1060 to obtain the net mass of fluid passing through the hemisphere in 1 second.

To find the net volume of fluid passing through the hemisphere, we need to calculate the flux of the velocity vector across the surface. The flux is given by the surface integral of the dot product of the velocity vector and the outward unit normal vector. Since the velocity vector is F(x, y, z) = -yi + zj + 3xk, we can calculate the dot product as -y(-y) + z(0) + 3x(√(9 - x² - y²)). Simplifying, we have F · dS = y² + 3x√(9 - x² - y²).

To evaluate the flux over the surface, we need to parameterize the hemisphere. Let's use spherical coordinates: x = r sinθ cosϕ, y = r sinθ sinϕ, and z = r cosθ, where 0 ≤ r ≤ 3, 0 ≤ θ ≤ π/2, and 0 ≤ ϕ ≤ 2π. The outward unit normal vector is given by n = (sinθ cosϕ)i + (sinθ sinϕ)j + (cosθ)k. Now, we can evaluate the flux by taking the surface integral: ∫∫(F · dS) = ∫∫(y² + 3x√(9 - x² - y²)) dA, where dA is the differential area element in spherical coordinates. Integrating over the appropriate limits, we can find the net volume of fluid passing through the hemisphere in 1 second.

To determine the net mass of fluid passing through the surface, we need to multiply the net volume by the fluid's mass density. Given that the fluid has a mass density of 1060 kg/m³, we can multiply the net volume by 1060 to obtain the net mass of fluid passing through the hemisphere in 1 second.

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Answer:

0, 16

1, 15

2, 14

3, 13

4, 12

5, 11

6, 10

7, 9

8, 8

Step-by-step explanation:

Any two numbers that have the product of positive 16 have a geometric mean of 4.

Answer:

68%

Step-by-step explanation:

85 divided by 125 = .68 * 100 = 68

Answer: The sale price is 40 percent of the regular price

Step-by-step explanation:

The probability that at least one person involved in the conspiracy reveals their involvement to the media within 50 years is approximately 0.994.

Consider the following scenario: There are 1000 individuals involved in a conspiracy.

Every person involved in the conspiracy can be trusted 99.9%, which means that there is a 0.01% probability that they will reveal the secrets of the conspiracy to the media within 50 years.

The probability of revealing the conspiracy is the same for everyone involved and remains constant throughout the 50 years.

Additionally, the probability of someone revealing the conspiracy is independent of whether anyone else has already done so or not.

What is the likelihood that at least one person will reveal their involvement to the media within 50 years? We can use the binomial distribution to determine the probability that at least one person in the conspiracy will reveal their involvement in the media in 50 years.

We'll use the following formula for the binomial distribution: P(X ≥ 1) = 1 - P(X = 0) where X is the number of individuals that reveal the secrets of the conspiracy.

In this situation, we know that there are 1000 people in the conspiracy, and the probability that each person will reveal the conspiracy is 0.01%.

We can therefore use the formula for the binomial distribution to solve for the probability of at least one person revealing the conspiracy:

P(X ≥ 1) = 1 - P(X = 0) P(X ≥ 1) = 1 - [tex](0.999)^{1000}[/tex] P(X ≥ 1) ≈ 0.994

Therefore, The probability that at least one person involved in the conspiracy reveals their involvement to the media within 50 years is approximately 0.994.

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Answer:

v = 340 cm³

Step-by-step explanation:

base area = 12 x 10 x 0.5 = 60 cm²

v = 60 x 17 x 1/3 = 340 cm³

The relation R on the set of natural numbers (N) is defined as (a, b) ∈ R if and only if a/b is a natural number. This relation exhibits the properties of reflexivity, symmetry, and transitivity.

Reflexivity: For any natural number a, a/a = 1, which is a natural number. Therefore, (a, a) ∈ R for all a ∈ N. Hence, R is reflexive.Symmetry: If (a, b) ∈ R, then a/b is a natural number. This implies b/a is also a natural number since the division is commutative. Thus, (b, a) ∈ R. Therefore, R is symmetric.

Transitivity: Let (a, b), (b, c) ∈ R, which means a/b and b/c are natural numbers. As the division operation is closed under natural numbers, a/c = (a/b) * (b/c) is also a natural number. Therefore, (a, c) ∈ R, and R is transitive. In summary, the relation R on the set of natural numbers is reflexive, symmetric, and transitive, making it an equivalence relation.

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Answer:

7:42

Step-by-step explanation:

First off you add the ratio together-

6+1=7

Then you divide-

49÷7= 7

7 is equal to 1 in this ratio.

To write out the ratio you need to multiplicate-

7×1=7

and

6×7= 42

Leaving the as-

7:42

Answer:

7:42  

Step-by-step explanation:

First, add up the two numbers in the ratio to get 49.

Next, divide the total amount by 49, i.e. divide £16 by 8 to get £5. £5 is the amount of each 'unit' in the ratio.

Then you need to divide the total amount using that number i.e. 49/16 = 7/42.

To work out how much each person gets, you then multiply their share by the ratios. Therefore, the answer is 7 yd and 42 yds.

Answer:

2^9 (2 to the 9th power) = 512

Step-by-step explanation:

Since 2 is multiplied by itself 9 times, it can be represented as 2^9, which evaluates to 512.

Hopefully this helps - let me know if you have any questions!

Answer:

y+3=2*(x+1)

Step-by-step explanation:

After considering the given data and analysing the information carefully we conclude that the lowest species richness observed is Forest A with only 18 species.

Let us get into the explanation part by first keeping in mind that to determine this, we need to evaluate the total number of species in each forest.

From the given data set, we clearly see that Forest A has 18 species, Forest B has 28 species, and Forest C has 25 species.

Hence, Forest A has the lowest species richness with only 18 species then Forest A has the lowest species richness among the three forests.

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Answer:100.53mm

Step-by-step explanation:

The hexadecimal expansion [tex](A95E)_{16}[/tex] is equal to the decimal expansion 43358. This conversion is achieved by assigning the positional values of each digit in the hexadecimal number and evaluating the corresponding decimal values.

To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum up the results. Starting from the rightmost digit, the value of A in hexadecimal is equivalent to 10 in decimal. The next digit 9 represents the value of 9 in decimal. Continuing in the same manner, the digit 5 represents 5 in decimal, and the final digit E is equal to 14 in decimal.

Now, we calculate the decimal equivalent using the formula:

[tex](10 * 16^3) + (9 * 16^2) + (5 * 16^1) + (14 * 16^0) = 43486[/tex]

Therefore, the hexadecimal expansion [tex](A95E)_{16}[/tex] is equal to 43486 in decimal.

In conclusion, the decimal equivalent of the given hexadecimal expansion is 43486.

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Answer:

each cookie was $0.94

Step-by-step explanation:

5.00 - 1.89 = 3.11

3.11 - 1.23 = 1.88

1.88 divided by 2 = 0.94

Answer:

:c

Step-by-step explanation:

Answer:

A maior vantagem para mim é a barra de chocolate.

Step-by-step explanation:

Temos que encontrar o custo de 1 grama de ovo de Páscoa e barra de chocolate

Para o ovo de páscoa

Tenho um ovo de Páscoa que custa 24,99 e tem 185 gramas.

185 gramas = 24,99

1 grama = x

Multiplicação cruzada

185 gramas × x = 1 grama × 24,99

x = 1 grama × 24,99 / 185 gramas

x = 0,1612258065

Aproximadamente = 0,16

O custo de 1 grama de ovo de Páscoa = 0,15

Para a barra de chocolate

Também tenho uma barra de chocolate que custa 5,10 e tem 90 gramas.

90 gramas = 5,10

1 grama = x

Multiplicação cruzada

90 gramas × x = 1 grama × 5,10

x = 1 grama × 5,10 / 90 gramas

x = 0,0566666667

Aproximadamente = 0,06

O custo de 1 grama de barra de chocolate = 0,06

A maior vantagem para mim é a barra de chocolate.

Answer:

140

Explanation: cause -180 + 40 = -140 (but absolute value is 140)

Answer:

D 240

Step-by-step explanation:

75÷15 to get the cost of each egg 5

5x12 to get 60

60x4 to get d 240

Answer:

Step-by-step explanation:

Correct choice is D

Answer:

C=3e

Step-by-step explanation:

Slope=

Answer:

Step-by-step explanation:

Pi*r^2 = Area

20.5^2 * Pi = 1320.25

Phase portrait as a function of the control parameter μ and the classification of bifurcations that occur as μ varies in the following questions are:

1. θ = μ sin θ - sin 2θA) μ<0, stable equilibrium at θ = nπ, where n is an odd integerB) μ>0, stable equilibrium at θ = 0, unstable equilibrium at θ = nπ, where n is a non-zero even integer. Hence, we have homoclinic bifurcation at μ = 0.

2. θ = sin θ/ μ+cos θA) μ<1, stable equilibrium at θ = nπ, where n is an integerB) μ>1, stable equilibrium at θ = sin−1 (μ) + nπ, where n is an integer. Hence, we have a pitchfork bifurcation at μ = 1.

3. θ = sin θ / μ + sin θA) μ<−1, stable equilibrium at θ = nπ, where n is an integerB) μ>−1, stable equilibrium at θ = 0, unstable equilibrium at θ = nπ, where n is a non-zero integer. Hence, we have homoclinic bifurcation at μ = −1.

4. θ = μ + cos θ + cos 2θA) μ>−1, stable equilibrium at θ = nπ, where n is an even integerB) μ<−1, no equilibrium point exists. Hence, we have fold bifurcation at μ = −1.

5. θ = μ sin θ + cos 2θA) μ>0, stable equilibrium at θ = sin−1 (−μ) + 2nπ, where n is an integerB) μ<0, stable equilibrium at θ = sin−1 (−μ) + (2n+1)π, where n is an integer. Hence, we have pitchfork bifurcation at μ = 0.

6. θ = sin 2θ/ 1 + μ sin θA) μ<−1, unstable equilibrium at θ = nπ/2, where n is an odd integerB) μ>−1, unstable equilibrium at θ = 0, stable equilibrium at θ = π. Hence, we have pitchfork bifurcation at μ = −1.

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Answer: 1.56 kilometers

Step-by-step explanation:

you multiply 520 by 3 because she ran for three days

so she ran 1560 meters

1000 meters= 1 kilometer

that makes it 1.56 kilometers

Answer:

In the graph, we can see that the relation between length and weight is given by the adjusted line, which passes through the points (24, 16) and (28, 25)

Remember that a linear relation can be written as:

y = a*x + b

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

If this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be calculated as:

a = (y₂ - y₁)/(x₂ - x₁)

Then in our case, the slope will be:

a = (25 - 16)/(28 - 24) = 9/4

y = (9/4)*x + b

Knowing that this line passes through (24, 16), we know that when x = 24, y must be equal to 16.

If we replace these in the equation, we can find the value of b.

16 = (9/4)*24 + b

16 = 54 + b

16 - 54 = b - 38

Then the equation is:

y = (9/4)*x - 38

Now that we know the equation, we can simply replace y by 34 pounds to find the value of x.

34 = (9/4)*x - 38

34 + 38 = (9/4)*x

72*(4/9) = x = 32

So we can estimate that the length of a fish that weighs 34 pounds is 32 (I do not know the unit of length, I can't see the horizontal axis on the image)

The lower bound of the interval is given as follows:

28.1.

The upper bound of the interval is given as follows:

29.9.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 30 - 1 = 29 df, is t = 1.6991.

The lower bound of the interval is given as follows:

[tex]39 - 1.6991 \times \frac{3}{\sqrt{30}} = 38.1[/tex]

The upper bound is given as follows:

[tex]39 + 1.6991 \times \frac{3}{\sqrt{30}} = 39.9[/tex]

The complete problem is:

"If n=30, (x-bar)=39, and s=3, at the 90% Confidence Interval, what are the (lower bound; upper bound)".

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