evaluate the trigonometric funtion of the angle theta​

Answer:

h = -3y + 2x

Step-by-step explanation:

Add 4x to both sides of the equation.

2h = −6y + 4x

Divide each term in 2h = −6y + 4x by 2 and simplify.

Divide each term in 2h = −6y + 4x by 2.

2h/2 = -6y/2 + 4x/2

Simplify the left side.

h = −6y/2 + 4x/2

Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.

h = -3y+2(2x)/2

Cancel the common factors.
Factor 2 out of 2.

h = -3y+2(2x)/2(1)
Cancel the common factor

h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1

Divide 2x by 1.
h = -3y + 2x

hopefully its right LOLZ

Answer:

The vine is growing faster than the tree.

Step-by-step explanation:

According to the chart, the Slope-intercept form of the tree is y = 4x + 2.

The slope intercept of the vine is y = 5x + 3. Therefore, the vine is growing at a faster rate.

Answer:

108

Step-by-step explanation:

look at it like an expression 3X +27

X= Mandy's sales

3x27 + 27= 108

Answer: C

Step-by-step explanation:

6x-7+3 = 32+3x> 6x - 4 = 32+ 3x > 3x = 36 > x = 12

Step-by-step explanation:

x=-14 plus/minus squared root of 1394 over 7

D  (-18)

___________________________________________________________

The image always helps me, please don't be afraid to point out any mistakes, I hope I helped have a great day!

The molar solubility of scandium fluoride can be calculated using the solubility product constant (Ksp) and stoichiometry. The molar solubility is approximately 7.61 × 10^(-9) mol/L.

The solubility product constant (Ksp) is an equilibrium constant that represents the equilibrium between a solid compound and its dissociated ions in a saturated solution.

For scandium fluoride (ScF3), the equilibrium can be represented as follows:

ScF3 (s) ⇌ Sc³⁺ (aq) + 3F⁻ (aq)

The solubility product expression for this equilibrium is:

Ksp = [Sc³⁺][F⁻]³

Given that the Ksp value for scandium fluoride is 5.8 × 10^(-24), we can use this information to calculate the molar solubility.

Step 1: Assign variables to the molar solubility.

Let x represent the molar solubility of ScF3 in mol/L.

Step 2: Write the equilibrium expression.

Since the stoichiometry of the reaction is 1:3, the equilibrium expression becomes:

Ksp = (x)(3x)³ = 27x⁴

Step 3: Substitute the Ksp value and solve for x.

Plugging in the Ksp value of 5.8 × 10^(-24), we have:

5.8 × 10^(-24) = 27x⁴

Step 4: Solve for x.

Taking the fourth root of both sides, we get:

x⁴ = (5.8 × 10^(-24))/27

x⁴ ≈ 7.61 × 10^(-26)

Taking the square root of both sides, we find:

x ≈ 7.61 × 10^(-9) mol/L

Therefore, the molar solubility of scandium fluoride is approximately 7.61 × 10^(-9) mol/L.

In summary, by using the solubility product constant (Ksp) and stoichiometry, we can calculate the molar solubility of scandium fluoride. In this case, the molar solubility is approximately 7.61 × 10^(-9) mol/L, indicating that scandium fluoride has a very low solubility in water.

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Answer:

a = 35

Step-by-step explanation:

\(a^2+b^2=c^2\\a^2+12^2=37^2\\a^2+144=1369\\a^2=1225\\a=35\)

Answer:

one solution

Step-by-step explanation:

3x + 3 = -3x + 3

6x + 3 = 3

6x = 0

x = 0

P x vector _2(t) = [0 -3 3 0] [-3sin(3t), -3cos(3t)] = [0 9sin(3t) -9sin(3t) 0, 0 -9cos(3t) 9cos(3t) 0].

a. To show that x vector _1(t) = [cos(3t) -sin(3t)] is a solution to the system x vector ' = P x vector, we need to evaluate the derivative of x vector _1(t) and the matrix product P x vector _1(t).

Taking the derivative of x vector _1(t) with respect to t, we have:

x^vector '_1(t) = [d/dt(cos(3t)) d/dt(-sin(3t))] = [-3sin(3t) -3cos(3t)].

Now, let's calculate the matrix product P x vector _1(t):

P x vector _1(t) = [0 -3 3 0] [cos(3t) -sin(3t)]^T,

where "^T" denotes the transpose of the vector.

P x vector _1(t) = [0 -3 3 0] [cos(3t), -sin(3t)] = [0 -3cos(3t) 3cos(3t) 0, 0 3sin(3t) -3sin(3t) 0].

As we can see, the matrix product P x vector _1(t) yields the same result as the derivative of x vector _1(t), which is x^vector '_1(t) = [-3sin(3t) -3cos(3t)]. Therefore, x vector _1(t) = [cos(3t) -sin(3t)] satisfies the equation x vector ' = P x vector.

b. Similarly, to show that x vector _2(t) = [-3sin(3t) -3cos(3t)] is a solution to the system x vector _2(t) = P x vector, we evaluate the derivative of x vector _2(t) and the matrix product P x vector _2(t).

The derivative of x vector _2(t) with respect to t is:

x^vector '_2(t) = [d/dt(-3sin(3t)) d/dt(-3cos(3t))] = [-9cos(3t) 9sin(3t)].

Now, let's calculate the matrix product P x vector _2(t):

P x vector _2(t) = [0 -3 3 0] [-3sin(3t) -3cos(3t)]^T,

where "^T" denotes the transpose of the vector.

P x vector _2(t) = [0 -3 3 0] [-3sin(3t), -3cos(3t)] = [0 9sin(3t) -9sin(3t) 0, 0 -9cos(3t) 9cos(3t) 0].

We can observe that the matrix product P x vector _2(t) yields the same result as the derivative of x vector _2(t), which is x^vector '_2(t) = [-9cos(3t) 9sin(3t)]. Thus, x vector _2(t) = [-3sin(3t) -3cos(3t)] satisfies the equation x vector _2(t) = P x vector.

In both cases, we have shown that the given vectors x vector _1(t) and x vector _2(t) are solutions to the system x vector ' = P x vector by evaluating derivatives and the matrix products.

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The estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants.

What is population variance?

Each data point's distance from the population mean is quantified by the population variance, which is a measure of dispersion. The average of the squares of the deviations from the data's mean value is known as population variance.

Hence, when determining the pooled population variance estimate for a t test for independent means with unequal sample sizes, the estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants.

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Answer:

<3  

Step-by-step explanation:

is a linear relationship as the are 1.6 Km in 1 mile .

Answer:

so c = 2

Step-by-step explanation:

38-2c=12c+4+3c

38-2c=15c+4

34=17c

2=c

Answer:

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

Step-by-step explanation:

La probabilidad condicional :

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

En el cual:

P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.  

\(P(A \cap B)\) es la probabilidad de que ocurran tanto A como B.  

P(A) es la probabilidad de que ocurra A.

En esta pregunta :

Evento A: Estudiante A aprueba.

Evento B: Estudiante B aprueba.

La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6

Entonces \(P(A) = 0.6\)

La probabilidad de que ambos estudiantes aprueben es 0.3

Entonces \(P(A \cap B) = 0.3\)

¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5\)

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

Answer:

D

Step-by-step explanation:

-45 ft   +   (12 ft /min * 5 min )  =15 ft  

The number of palindromic numbers I missed in between 2 4 9 4 2 and 2 5 0 5 2 is 10.

At first glance my car mileage it showed 2 4 9 4 2, a palindromic number.

And for next glance, I noticed that it showed 2 6 0 6 2, another palindromic number.

So the other palindromic numbers between 2 4 9 4 2 and 2 6 0 6 2 are,

2 5 0 5 2

2 5 1 5 2

2 5 2 5 2

2 5 3 5 2

2 5 4 5 2

2 5 5 5 2

2 5 6 5 2

2 5 7 5 2

2 5 8 5 2

2 5 9 5 2

So the number of such numbers = 10.

Hence the number of palindromic numbers I missed in between 2 4 9 4 2 and 2 5 0 5 2 is 10.

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Answer:

i think the correct answer of these qusion is -2,3

The volume of the sphere is option (d) 904.32 cm³

Volume is a measure of the amount of three-dimensional space occupied by a substance, object, or region of space

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere.

Substituting r = 6 cm and π ≈ 3.14 into the formula, we get:

V = (4/3) × 3.14 × 6³

Find the cube of the number

V = (4/3) × 3.14 × 216

Multiply the numbers

V ≈ 904.32

Rounding the answer to the nearest hundredth, we get approximately 904.32 cm³.

Therefore, the correct option is (d) 904.32 cm³.

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The given question is incomplete, the complete question is:

What is the approximate volume of the sphere when the radius is 6 cm?

Use 3.14 to approximate pi and round the answer to the nearest hundredth if necessary.

a) 48 cm³

b) 150.72 cm³

c) 288.00 cm³

d) 904.32 cm³

Answer:

\(\textsf{B)}\quad \dfrac{1}{28^2}\)

\(\textsf{C)} \quad \dfrac{7^{-2}}{4^2}\)

Step-by-step explanation:

\(4^{-2} \cdot 7^{-2}\)

\(\textsf{Apply exponent rule} \quad (a^b \cdot c^b)=(ac)^b:\)

\(\implies (4 \cdot 7)^{-2}\)

\(\implies (28)^{-2}\)

\(\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:\)

\(\implies \dfrac{1}{28^2}\)

-------------------------------------------------------------------------------------------

Also,

\(4^{-2} \cdot 7^{-2}\)

\(\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:\)

\(\implies \dfrac{7^{-2}}{4^2}\)

\(\\ \rm\Rrightarrow 4^{-2}7^{-2}\)

\(\\ \rm\Rrightarrow \dfrac{1}{4^2.7^2}\)

\(\\ \rm\Rrightarrow \dfrac{1}{(4.7)^2}\)

\(\\ \rm\Rrightarrow \dfrac{1}{28^2}\)

If we break only 4

\(\\ \rm\Rrightarrow \dfrac{7^{-2}}{4^2}\)

Option B and C

Answer:

1.5

Use KCF to solve this problem

Answer:

1 1/2

Step-by-step explanation:

When dividing fractions, use Keep Change Flip, to get 3/4*2/1, this gives you 6/4, which is equal to 1 1/2

Answer:

angle 2 is 35 degrees

angle 3 is 55 degrees

Answer:

(below)

Step-by-step explanation:

since angles 3 + 4 are a right angle (90 degrees) 90 - 35 = 55. so, m of angle 3 = 55 degrees

1 is a right angle. so, m of angle 1 = 90 degrees

if all interior angle of a triangle add up to 180, angle 2 must equal 35

To use a centimeter ruler to measure a matchstick, place the ruler parallel to the matchstick, aligning the zero mark with one end. Identify the nearest centimeter mark and estimate the millimeter measurement by looking at the divisions between centimeters and smaller increments for more precision.

To begin, ensure the centimeter ruler is in good condition and properly calibrated. Lay the matchstick on a flat surface, making sure it is straight. Position the ruler next to the matchstick, aligning the zero mark with one end while keeping it parallel to the matchstick. Observe the other end of the matchstick and identify the nearest centimeter mark on the ruler to the left of the end point. This represents the whole centimeter measurement. Next, look at the lines or ticks between the whole centimeter marks. Each centimeter is divided into 10 millimeter intervals. Estimate the length of the matchstick by identifying the millimeter line that aligns with the end of the matchstick. For more precise measurements, use the smaller divisions on the ruler. Each millimeter is further divided into smaller increments called tenths of a millimeter. Estimate the length by identifying the smallest increment that aligns with the end of the matchstick. Record the measurement by noting the number of centimeters, followed by the number of millimeters (and tenths of millimeters, if necessary). Handle the matchstick carefully to avoid any damage or inaccuracies in the measurement..

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Given two types of postage stamps, 3¢ and 4¢ respectively, we can find all the possible amounts that can be made by combining them.

We are to find the denominations of postage that can be obtained by combining just these two types of stamps. The solution is as follows:We can use the technique of finding the greatest common divisor (GCD) of two integers to find all possible denominations that can be obtained using these two types of stamps.

The GCD of 3 and 4 is 1, so all multiples of 1 can be obtained. This means we can make any postage amount that is an integer using just these two types of stamps. To illustrate this, let's find all the possible postage amounts that can be obtained using these two types of stamps.

Possible postage amounts that can be obtained using just these two types of stamps are:

3, 4, 6, 7, 9, 10, 12, 13, 15, 16, 18, 19, 21, 22, 24, 25, 27, 28, 30, 31, 33, 34, 36, 37, 39, 40, 42, 43, 45, 46, 48, 49, 51, 52, 54, 55, 57, 58, 60, 61, 63, 64, 66, 67, 69, 70, 72, 73, 75, 76, 78, 79, 81, 82, 84, 85, 87, 88, 90, 91, 93, 94, 96, 97, 99, 100, 102, 103, 105, 106, 108, 109, 111, 112, 114, 115, 117, 118, 120, 121, 123, 124, 126, 127, 129, 130, 132, 133, 135, 136, 138, 139, 141, 142, 144, 145, 147, 148, 150, 151, 153, 154, 156, 157, 159, 160, 162, 163, 165, 166, 168, 169, 171, 172, 174, 175, 177, 178, 180, 181, 183, 184, 186, 187, 189, 190, 192, 193, 195, 196, 198, 199, 201, 202, 204, 205, 207, 208, 210, 211, 213, 214, 216, 217, 219, 220, 222, 223, 225, 226, 228, 229, 231, 232, 234, 235, 237, 238, 240, 241, 243, 244, 246, 247, 249, 250, 252, 253, 255, 256, 258, 259, 261, 262, 264, 265, 267, 268, 270, 271, 273, 274, 276, 277, 279, 280, 282, 283, 285, 286, 288, 289, 291, 292, 294, 295, 297, 298, 300.

Thus, using two types of stamps, 3¢ and 4¢, we can make any postage amount that is an integer by using the GCD of 3 and 4 which is 1.

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Answer:

Second Line

Step-by-step explanation:

x/-1 > -6

x < 6

Answer:

The angle is 180°

Step-by-step explanation:

\({}\)

Answer: look at the image for the answer and solution

Step-by-step explanation:

answer is 459 dollars

explanation: 15% of 500 is 75 that =425 + the tax which is 34 dollars so add them to get the answer 459

Answer:

Leroy has $1.20 , Aaron has $6.00

Step-by-step explanation:

let Leroy have x , then Aaron has 5x , so

x + 5x = 7.20

6x = 7.20 ( divide both sides by 6 )

x = 1.20

Then

Leroy has $1.20 and Aaron has 5 × $1.20 = $6.00

In the study conducted by John Darley and Bibb Latané, the number of people present in the room with the participant served as an independent variable, as it was manipulated by the researchers to observe its effects on helping behavior.

Specifically, the researchers examined how the presence of other people in the room would affect whether or not the participant would choose to help in a given situation. By changing the number of people present in the room, the researchers were able to measure the effects of diffusion of responsibility on helping behavior.

Diffusion of responsibility is a phenomenon in which individuals are less likely to help a victim when they are in the presence of other people, as they assume that someone else will take responsibility. Therefore, the number of people present in the room was an important variable in the study, as it allowed the researchers to measure how the presence of others affected helping behavior.

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The probability of randomly selecting a cream filled

Chocolate is 1/4

Let E be the event of selecting cream filled chocolate.

Number of favourable outcome = 6

Total number of possible outcome = 24

Probability if selecting a cream filled chocolate = 6/24

= 1 / 4

Hence, the probability of randomly selecting a cream filled chocolate is 1/4

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