What is the gcf of 48 and 30

A kilogram of silver contains 5.58×10²⁴ atoms.

From the question given above, the following data were obtained:

Now, we shall convert 1 kg of silver to grams (g).

This can be obtained as follow:

1 kg = 1000g

Therefore, 1 kg of silver is equivalent to 1000g.

Now, let's determine the number of atoms in 1 kg (i.e 1000 g) of silver as follow:

If 107.9 g of silver contains 6.02×10²³ atoms.

Then, 1000 g of silver will contain:

= (1000 × 6.02×10²³) / 107.9

= 5.58×10²⁴ atoms.

Thus, a kilogram of silver contains 5.58×10²⁴ atoms.

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There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

El propietario pagará una tasa de interés de 1472 € (736x2 años)

Step-by-step explanation:

8000 / 100 x 9.2 = 736€

736 x 2 = 1472 :)

Answer:

Step-by-step explanation:

6:55 to 7 o'clock is 5 minutes.

from 7 to 8 is 60 minutes

from 8 to 8: is 15 minutes.

So, 5+60+15=80 minutes, also calls one hour and 20 minutes.

she ran for 3hours

06:55

08:15

14:60 therefore 14 is 2hours and 60 is 1hour

The two angles are related in that they are supplementary angles

Supplementary angles would add tuo to 180 degrees according to the angle Theorem.

Adding the two given angles :

These angles are supplementary

The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.

Hence, the angles are related as they are supplementary angles .

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Answer:

Step-by-step explanation:

58.6667

Answer:

The answer is 58.6667

Answer:

1/6

Step-by-step explanation:

We have a favourable possibilty in a total of six possibility

Answer:

8 x 10 ^-8

Step-by-step explanation:

Answer:

8x10^-8

Step-by-step explanation:

11480

i think this is right

we can see that P-1 and Q are equal. This proves that the inverse of a transition matrix from A to B is equal to the transition matrix from B to A.

Transition matrix from A to B is P

\(P = [a b c d e f g h i]\)

Inverse of P is equal to the transition matrix from B to A

The inverse of P is P-1, which is given by:

\(P-1 = [j k l m n o p q r]\)

The transition matrix from B to A is Q, which is given by:

\(Q = [j k l m n o p q r]\)

The proof we have provided is by showing that the inverse of the transition matrix from A to B, which is P-1, is equal to the transition matrix from B to A, which is Q. We have done this by showing that both P-1 and Q are the same matrix. We can see that P-1 = [j k l; m n o; p q r] and Q = [j k l; m n o; p q r], which shows that both matrices are identical. This proves that the inverse of the transition matrix from A to B is equal to the transition matrix from B to A.

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Answer:

2x + 5y

Step-by-step explanation:

-5x - 10y + 7x + 15y

add the ones with the same variables

-5x + 7x - 10y + 15 y

2x + 5y

and there you have the answer "2x + 5y"

Answer:

Jessica, and she bought 2 more

Answer:

ibig sabihin nya ay ilang student ang nasa summer

The hypotenuse of a right triangle will be $561$.

What is hypotenuse?

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.

Lengths of legs of a right triangle are given that are $264$ and $495$.

According to The Pythagorean Theorem,

\(hypotenuse^{2} = lenght^{2} + lenght^{2}\\hypotenuse^{2} = 264^{2} + 495^{2}\\\\hypotenuse^{2} = 69,696 + 245,025\\ hypotenuse^{2} = 314,721\\hypotenuse = 561\)

The hypotenuse of a right triangle will be $561$.

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Answer:

53

Step-by-step explanation:

\(a + (n - 1)d \\ = - 7 + (21 - 1)3 \\ = 53\)

Answer

53

Step-by-step explanation:

Answer:

= 2i / 5

Step-by-step explanation:

4 / 10 i

= 2² / (2 * 5) i

= 2i / 5

Answer:

2i / 5 is the answer.

Answer:

81

Step-by-step explanation:

the formula for an arithmetic sequence:

aₙ = a₁ + (n-1)d

where aₙ = the nth term

a₁ = the 1st term = -3

n = the term number = 13

d = the common difference = 7

Plugging in those values into the formula to find a₁₃:

a₁₃ = -3 + (13-1)7

= -3 + (12)7

= -3 + 84

= 81

The constant of proportionality can be obtained by:

Using the first two rows of the table we have:

Therefore, k=-0.75, this is equal to -3/4, hence the answer is B.

Answer:

899

Step-by-step explanation:

+

20p^2-4p+30pq

= 2p(10p-2+15q)

The answer is 2p(10p-2+15q).

The exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

Given that sec(θ) = -8 and sin(θ) > 0, we can find the exact values of the remaining trigonometric functions using the Pythagorean identity:

sec^2(θ) = 1/sin^2(θ)

Substituting the value of sec(θ), we have:

(-8)^2 = 1/sin^2(θ)

64 = 1/sin^2(θ)

sin^2(θ) = 1/64

sin(θ) = ±√(1/64)

Since sin(θ) > 0, we take the positive square root:

sin(θ) = √(1/64)

Next, we use the reciprocal identity for cosecant:

csc(θ) = 1/sin(θ)

Substituting the value of sin(θ), we have:

csc(θ) = 1/√(1/64) = 8√(1/64) = 8/√(64) = 8/8 = 1

Next, we use the reciprocal identity for cotangent:

cot(θ) = 1/tan(θ)

We can find the value of tan(θ) using the definition:

tan(θ) = sin(θ) / cos(θ)

Substituting the values of sin(θ) and cos(θ), we have:

tan(θ) = √(1/64) / (-8) = -√(1/64) / 8

Finally, we use the reciprocal identity for a tangent:

tan(θ) = 1/cot(θ)

Substituting the value of cot(θ), we have:

tan(θ) = -8√(1/64)

Therefore, the exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

The complete question is:-

Find the exact value of each of the remaining trigonometric functions of

θ. Rationalize denominators when applicable.

secθ=−8, given that sinθ>0

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Glad I can help!!!

Answer:

688

Step-by-step explanation:

Assuming that the car stays at exactly the same speed for all 8 hours then the equation you should use is 86 x 8=688.

If satisfied leave a review to let me know how I did and feel free to give brainiest.

Answer:

688 kilometers.

Step-by-step explanation:

im not sure what unit analysis is, but you would multiply 8 and 86. kilometer per hour. soo yeah lol 8×86=688. you would be able to travel 688 kilometers. you Don't have to give me brainliest lol but I hope that this helps :)

Answer:

A) similar; SAS similarity.

Step-by-step explanation:

SAS Triangle Similarity

The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

We are given two triangles BCD and JKL. Sides DB and JL have a ratio of 90/20 = 4.5

Sides JK and BC have a ratio of 81/18 = 4.5

Since both sides are proportional and their included angle of 43° are congruent, then both triangles are similar, SAS similarity.

A) similar; SAS similarity.

Answer:

Slope, \(m=\dfrac{1}{5}\)

Step-by-step explanation:

It is given that,

A road rises 20 feet for every 100 feet in horizontal distance.

Rise (vertical distance) = 20 feet

Run (horizontal distance) = 100 feet

Slope of the road is given by the ratio of rise to the run. It can be calculated as :

\(m=\dfrac{20}{100}\\\\=\dfrac{1}{5}\)

So, the slope is \(\dfrac{1}{5}\).

Answer:

208

Step-by-step explanation:

multiply 52 x 4 = 208

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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