A 2.36 cm3 sample of an unknown metal weighs 18.5 g. what is the sample's density?

The sum of the convergent series ∫n=1∞(sin(3))n∬ is equal to 1.0000, rounded to four decimal places.

To calculate the sum of this series, we will use the geometric series formula. The geometric series formula states that the sum of a geometric series can be calculated by the following equation: a ∫ (1 - rn) ∨ r, where a is the initial value and r is the common ratio of the series.

In this example, the initial value a is sin(3), and the common ratio r is also sin(3). Therefore, the sum of this series can be calculated as follows:

∫n=1∞(sin(3))n∬ = sin(3) ∫ (1 - sinn(3)) ∨ sin(3)

Now, we can solve for ∫n=1∞(sin(3))n∬ by substituting 1 for n:

∫n=1∞(sin(3))n∬ = sin(3) ∫ (1 - sin1(3)) ∨ sin(3)

This simplifies to sin(3) ∫ (1 - sin(3)) ∨ sin(3), which equals 1.0000. Therefore, the sum of the convergent series is equal to 1.0000, rounded to four decimal places.

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Answer:

14

Step-by-step explanation:

if you subtract 136-80 = 56 then if you divide 56 by 4 because there are 4 little squares you would get 14 = 14 would be the answer and the value of each little square hope this helped and have a great day (((:

Spanish explanation:

si restas 136-80 = 56 entonces si divides 56 entre 4 porque hay 4 pequeños cuadrados obtendrás 14 = 14 sería la respuesta y el valor de cada pequeño cuadrado espero que esto te ayude y que tengas un gran día (((:

The account increases in value by 1% every quarter, which is equivalent to 1/4% every month.

Savings interest is calculated on a daily basis and deposited into the account on the first day of the next quarter. The interest rate will depend on the balance in the account. Now it's between 3% and 3.5%.

To find the increase in value for an account with an APR of 4% and quarterly compounding, we'll first need to convert the APR to a quarterly interest rate.
1. Divide the APR by the number of compounding periods in a year: 4% / 4 = 1%.
2. The account increases in value by 1% every quarter.

Your answer: a. 1%

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Answer:

Rate of interest (R) = 6.5 % per year

Step-by-step explanation:

Given:

Amount borrow(P) = $2300

Amount (A) = $2748.50

Number of month(T) = 36 month = 3 year

Find:

Rate of interest (R)

Computation:

Simple interest (I) = Amount (A) - Amount borrow(p)

Simple interest (I) = $2748.50 - $2300

Simple interest (I) = $448.50

Simple interest (I) = PRT

$448.50 = ($2300)(R)(3)

0.065 = R

Rate of interest (R) = 6.5 % per year

The rate of interest that should be charged is 6.5%.

Given that,

Based on the above information, the calculation is as follows:

Simple interest = Amount - Amount borrow

= $2748.50 - $2300

= $448.50

Now  

Simple interest  = PRT

$448.50 = ($2300)(R)(3)

0.065 = R

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Answer:

2800, 320

350, 40

2800+320+350+40=3510

Step-by-step explanation:

(40*70)+(40*8)+(5*70)+(5*8)

Answer:

About 66 Lb

Step-by-step explanation:

The answer to this problem is that the system is consistent if k is not equal to zero. The answer is (b) "The system is consistent when k ≠ 0".

Consider the augmented matrix in row echelon form (REF):1 2 3 12 0 4 5 150 0 0 kFor what value(s) of k is the corresponding linear system of equations consistent?The system is consistent when k = 0 is the answer. The following can be deduced from the augmented matrix in row echelon form (REF): 1 2 3 12 0 4 5 150 0 0 kThe coefficient matrix for the corresponding linear system of equations is:A = [ 1 2 3; 0 4 5; 0 0 k]The system is consistent for a coefficient matrix A if and only if the rank of the coefficient matrix A is equal to the rank of the augmented matrix. The rank of the augmented matrix is determined by the number of nonzero rows in the matrix.The augmented matrix contains two nonzero rows, so its rank is 2. Now let's look at the coefficient matrix A: A = [ 1 2 3; 0 4 5; 0 0 k] Since the first two rows are nonzero, the rank of the coefficient matrix is also 2. Therefore, the system is consistent if and only if the third row of the coefficient matrix A is also nonzero. That is, the system is consistent if and only if k is not equal to zero. Therefore, the answer to this problem is that the system is consistent if k is not equal to zero. The answer is (b) "The system is consistent when k ≠ 0".

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Answer:

I think it's 6.9282032302755

Let

x = number of registered doctors

It's known that 21.3% of all registered doctors were female, that is:

21.3% of x were female, or:

21.3/100 x = 0.213x

We are given this number of female doctors, thus:

0.213x = 46,700

Dividing by 0.

Answer:

1. isn't

2. 0.5 or 1/2

3. 9x0.5=4.5 or 9/2

You can do this... it's easy stuff. You got it!

Answer:

I would say A and E would be it.

Step-by-step explanation:

Answer:

y = 9\(\sqrt{2}\) inches

Step-by-step explanation:

Since the base angles are congruent then the triangle is isosceles with both legs being equal.

Using Pythagoras' identity in the right triangle

y² = 9² + 9² = 81 + 81 = 162 ( take the square root of both sides )

y = \(\sqrt{162}\) = \(\sqrt{81(2)}\) = 9\(\sqrt{2}\)

If two pentagons are similar, then their sides are proportional. To find PT, we'll need to set up a proportion.

AE / PT = AB / PQ

---There are many ways to set up this proportion, it just depends on what side lengths you have and ensuring that they match up on both shapes.

6 / x = 5 / 12.5

5x = 75

x = 15

Length of PT = 15 cm

Option C

Hope this helps!

Answer: Y would be 4

If you look at the graph and find 7 on the x axis where the inputs are, you can see that if you go up, the only output for 7 is 4.

Answer:

I need to know how many gallons you have.

Step-by-step explanation:

You should multiply the amount by how many gallons.

Answer:

whats the question

Step-by-step explanation:

Answer:

My guess would be -0.1 and 1/4

Step-by-step explanation:

-0.1 is greater than -0.2 and 1/4 is greater than -0.1 but less than 1/2.

The Paterson family hiked the Purple Mountain Trail for 6 days and covered a total distance of 25 miles. Each day, they hiked approximately 4.17 miles.

To find out how many miles the Paterson family hiked each day, we divide the total distance covered by the number of days. In this case, they hiked for 6 days and traveled a total of 25 miles. By dividing 25 miles by 6 days, we find that they hiked approximately 4.17 miles each day.

This means that the Paterson family hiked a consistent distance of around 4.17 miles per day along the Purple Mountain Trail. It's important to note that the exact distance may vary slightly depending on the decimal places used in the calculations. However, for the purpose of this answer, we have rounded the result to two decimal places.

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Answer:

\((C) \ a=\frac{1}{b}.\)

Step-by-step explanation:

(a+b)²=a²+b²+2;

a²+2ab+b²=a²+b²+2;

2ab=2;

ab=1

Answer:

7x^5

Step-by-step explanation:

just is

Answer:

The answer is -\(-7x^{2}\)

Step-by-step explanation:

By finding alike terms and combing them, you can figure out that -\(-7x^{2}\) is the correct answer.

Answer:

22.98

Step-by-step explanation:

The right triangle that contains the diagonal the problem asks for has legs c and e and a hypotenuse d. You will need another right triangle to find the value of e. Using the base of the container, you have a right triangle with legs a and b and a hypotenuse e. The container is 8 ft wide. This is the value of b. The container is 20 ft long. This is the value of a.

a2+b2=e2202+82=e2400+64=e2464=e2464−−−√=e2−−√±21.54≈e

The problem tells you that the container is 8 ft tall. This is the value of c. Now that you have e, you can solve for d.

c2+e2=d282+(21.54)2≈d264+464≈d2528≈d2528−−−√≈d2−−√±22.98≈d

The length of a diagonal from a top corner to the opposite bottom corner of the container is approximately equal to 22.98 ft. Remember that length cannot be negative.

Answer:

If the triangle is similar then their ratio is also same

x = 8

6 4.8

X =8×6

4.8

x = 10 cm

hope this helps

good day mate

Answer:

1.94

Step-by-step explanation:

you first do 2.91 divided by 3 then you should get .97 then multiply that by 2

Answer:

Step-by-step explanation:

The conclusion "Olivia can participate in sports at school" is based on deductive reasoning.

Deductive reasoning is a logical process in which specific premises or conditions lead to a specific conclusion. In this case, the premise is that students at Olivia's high school must have a B average to participate in sports, and the additional premise is that Olivia has a B average. By applying deductive reasoning, Olivia can conclude that she meets the necessary requirement and can participate in sports. The conclusion is a direct result of applying the given premises and the logical implications.

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Answer:

OH MY GOSH I DON'T KNOW BUT GL! WISH YOU THE BEST AAAAA-

Step-by-step explanation:

Answer:

ITS A

trust me it's quite simple. you just need to find the overall pattern of the sequence

The 11-4 skills practice areas of regular polygons and composite figures involve finding the areas of different geometric shapes using specific formulas and methods.

To find the area of regular polygons, you can use the formula (1/2) x apothem x perimeter.

For composite figures, you can break the shape into smaller, more manageable shapes like rectangles, triangles, or circles, and then calculate the area of each component before adding them together.

Hence, The 11-4 skills practice areas of regular polygons and composite figures teach you to find areas using the appropriate formulas and methods, improving your geometry understanding and problem-solving abilities.

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         Tip: You seem like you are slightly stuck. That is okay! Don't forget the formulas that can help you solve for the circumference. When you can solve for the circumference, the rest of the answers come a bit easier.

[a] 88 inches

         The circumference can be found with C = 2πr, but they tell us to use \(\frac{22}{7}\) instead of pi, so we will do just that.

C = 2 * \(\frac{22}{7}\) * r

C = 2 * \(\frac{22}{7}\) * (14)

C = 88

[b] 176 inches

         Again, the circumference can be found with C = 2πr, but they tell us to use \(\frac{22}{7}\) instead of pi, so we will do just that.

C = 2 * \(\frac{22}{7}\) * r

C = 2 * \(\frac{22}{7}\) * (28)

C = 176

[c] When you double the radius, the circumference also doubles.

         We will divide the second circumference by the first circumference  so we can see how they compare:

176 / 88 = 2

         Now we will take the second radius divided by the first radius:

28 / 14 = 2

         We could use a longer explanation, but in summary, when the radius is doubled the circumference is also doubled as seen with the value 2.

Therefore, the orthogonal matrix Q that diagonalizes the symmetric matrix A is:

Q = ⎡ -2 -2 0 ⎤

⎢ -2 -2 0 ⎥

⎣ 1 1 0 ⎦

To find an orthogonal matrix Q that diagonalizes the symmetric matrix  , you need to find the eigenvectors corresponding to each eigenvalue.

You correctly found the eigenvalues of A to be -3, 0, and 3.

Let's find the eigenvector corresponding to the eigenvalue -3:

For λ = -3, we need to solve the equation (A - λI)v = 0, where I is thedentity matrix.

(A - (-3)I)v = 0

(A + 3I)v = 0

Substituting the values of A and I:

⎡ 1 0 2 ⎤ ⎡ x ⎤ ⎡ 0 ⎤

⎢ 0 -1 -2 ⎥ ⎢ y ⎥ ⎢ 0 ⎥

⎣ 2 -2 0 ⎦ ⎣ z ⎦ ⎣ 0 ⎦

The resulting system of equations is:

x + 2z = 0 ---- (1)

-y - 2z = 0 ---- (2)

2x - 2y = 0 ---- (3)

From equation (1), we have x = -2z.

From equation (2), we have y = -2z.

Substituting these values into equation (3), we get:

2(-2z) - 2(-2z) = 0

-4z + 4z = 0

0 = 0

This indicates that z is a free variable, meaning we can choose any value for z. Let's set z = 1 for simplicity. Then, we have:

x = -2(1) = -2

y = -2(1) = -2

z = 1

So, one eigenvector corresponding to the eigenvalue -3 is v₁ = [-2, -2, 1].

Next, let's find the eigenvectors corresponding to the eigenvalue 0:

For λ = 0, we need to solve the equation (A - λI)v = 0.

(A - 0I)v = 0

Av = 0

Substituting the values of A:

⎡ 1 0 2 ⎤ ⎡ x ⎤ ⎡ 0 ⎤

⎢ 0 -1 -2 ⎥ ⎢ y ⎥ ⎢ 0 ⎥

⎣ 2 -2 0 ⎦ ⎣ z ⎦ ⎣ 0 ⎦

The resulting system of equations is:

x + 2z = 0 ---- (1)

-y - 2z = 0 ---- (2)

2x - 2y = 0 ---- (3)

From equation (1), we have x = -2z.

From equation (2), we have y = -2z.

Substituting these values into equation (3), we get:

2(-2z) - 2(-2z) = 0

-4z + 4z = 0

0 = 0

Again, we find that z is a free variable. Let's set z = 1 for simplicity. Then, we have:

x = -2(1) = -2

y = -2(1) = -2

z = 1

So, another eigenvector corresponding to the eigenvalue 0 is v₂ = [-2, -2, 1].

Finally, let's find the eigenvector corresponding to the eigenvalue 3:

For λ = 3, we need to solve the equation (A - λI)v = 0.

(A - 3I)v = 0

Substituting the values of A and I:

⎡ -2 0 2 ⎤ ⎡ x ⎤ ⎡ 0 ⎤

⎢ 0 -1 -2 ⎥ ⎢ y ⎥ ⎢ 0 ⎥

⎣ 2 -2 -3 ⎦ ⎣ z ⎦ ⎣ 0 ⎦

The resulting system of equations is:

-2x + 2z = 0 ---- (1)

-y - 2z = 0 ---- (2)

2x - 2y - 3z = 0 ---- (3)

From equation (1), we have -2x = -2z, which simplifies to x = z.

From equation (2), we have y = -2z.

Substituting these values into equation (3), we get:

2(z) - 2(-2z) - 3z = 0

2z + 4z - 3z = 0

3z = 0

z = 0

If z = 0, then x = 0 and y = 0. Therefore, we obtain:

x = 0

y = 0

z = 0

Thus, an eigenvector corresponding to the eigenvalue 3 is v₃ = [0, 0, 0].

Now, let's construct the orthogonal matrix Q using the eigenvectors as its columns:

Q = [v₁, v₂, v₃]

= [-2, -2, 1]

[-2, -2, 1]

[ 0, 0, 0]

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