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5
Find the arc length of the semicircle.
Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
units
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Answer:The reciprocal of 2/3 is 3/2. The product of 2/3 and its reciprocal 3/2 is 1.

Step-by-step explanation:

Answer:

13p - 17q + 2 (Option B)

Step-by-step explanation:

\(7p + 20 - 13q - 4q - 18 + 6p\)

Step 1) Arrange all like terms.

\( = > (7p + 6p) + ( - 13q - 4q) + (20 - 18)\)

Step 2) Add/substract all those like terms and you're done.

\( = > 13p - 17q + 2\)

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

C is the answer (Question wording bias)

Step-by-step explanation:

I Just did this assignment on edge

Answer:

Question wording bias.

Step-by-step explanation:

I got it correct.

Answer:

What's the question? provide for details

Answer:

I am so confused I don't know how to answer this.

Answer:

The graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).

Step-by-step explanation:

We know that when we add a constant to the input of the parent function, we get a horizontal shift.

The direction of shifting depends upon the value of the added constantly. If the added constant is negative, the shift of the graph will be left and if the added constant is positive, the shift of the graph will be right.

For example, consider the function

f(x)

so adding \(3\) in the put i.e. \(f(x+3)\) would be a change on the inside of the function, giving a horizontal shift left by 3.

Therefore, the graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).

Answer:

By moving the decimal at the end of the number to the correct amount of places for x 10 you move it once to the right for x 100 you move it right twice.

Step-by-step explanation:

Answer:

-\(\frac{1}{2}\)

Step-by-step explanation:

We can find the slope of the line by using the point slope formula: \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\).

If we plug in your numbers, we get:

\(\frac{4-2}{4-8}\), or -\(\frac{2}{4}\), or -1/2.

Answer:

The \(66\)th term is \(363\).

Step-by-step explanation:

To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have

\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).

Answer:

a₆₆ = 363

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then

a₆₆ = - 92 + (65 × 7)

      = - 92 + 455

     = 363

Step-by-step explanation:

v>29 or 29,infinity sign i used an app called and this is what it showed

<3<3<3<3<3<3<3<3<3<3<<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

v >_ 29

<3<3<3<3<3<3<3<3<3<3<<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

the equation will be 2y=5x

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

$19

Step-by-step explanation:

$61-$25=$36-$17=$19

Answer:

You can calculate for x by

Step-by-step explanation:

7.5 - 2.8 = 4.7

Hope this helps.

Answer:

Your diameter would be 20.

Step-by-step explanation:

1. Two radius added together is the diameter (if you're talking about a circle.)

2. You add 10+10 because as you said your radius is 10.

3. It would be 20.

Hope this helped!

Answer:

A,C,D,

Step-by-step explanation:

Answer: 4 in each bag

Step-by-step explanation: If im not mistaken then im pretty sure that 4 is the gcf of 68 and all those numbers can also go to 4.

Answer:

2,596

Step-by-step explanation:

Calculation to determine how many new bonds must JRJ issue to raise $2,000,000

Given,

Coupon rate = 8.0%

Face value = 1000

Year to maturity = 10

NPER = 20

First step is to calculate the PMT using this formula

PMT = Face value × Coupon rate / 2

Let plug in the formula

PMT=(1000 × 0.08) / 2

PMT= 80/2

PMT= 40

Second step is to calculate the Rate using this formula

Yield = 12%

Rate = Yield / 2

Let plug in the formula

Rate= 12% / 2

Rate= 6%

Third step is to calculate the net proceeds using this formula

Net proceeds= PV(rate, NPER, PMT, FV)

Let plug in the formula

Net proceeds= PV(6%, 20, 40, 1000)

Net proceeds= $770.60

Now let calculate how many new bonds must JRJ issue to raise $2,000,000

New bonds needed= $2,000,000 / 770.60

New bonds needed= 2,596 bonds

Therefore how many new bonds must JRJ issue to raise $2,000,000 will be 2,596 bonds

EXPLANATION

If the function f(x) has -2 and 3 as zeros, the possible equation is:

Applying the distributive property:

Adding like terms:

The answer is f(x)= x^2-x-6

Answer:

Yes

Step-by-step explanation:

Line AB touches the circle at point B, but doesn't intersect through the circle.

Answer:

1. 7.3

2. 33.3

3. 21.3

4. 31.9

5. 25.6

6. 11.0

7. 42°

8. 64°

9. 13°

10. 51°

Step-by-step explanation:

make sure if you're using a math calculator that it is in degree mode.

SIN, COS, OR TAN. SOH CAH TOA. Sin is Opposite/hypotenus.

Cos is Adjacent(next to it)/hypotenus.

Tan is Opposite/Adjacent.

~~

PROBLEM 1:

So we have 63°, 16 as hypotenus, and x as one of the legs.

1. Figure out whether it is Sin, Cos, or Tan. (It's adj and hyp. of the angle degree (63° listed so it's cos.)

2. Once you set it up, it is Cos 63°= x/16 then flip it around. which makes it 16 COS 63= X.

3. Input it into your calculator as 16cos(63, then it will give you.. 7.263847996

4. Don't forget to round to the nearest tenth, which gives you

x = 7.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 2:

Given: 39°, 27 is opposite of the °, and adj is x. So this is Tan.

1. Set it up, Tan 39° = 27/x can't solve this way so fix it.

2. rewritten as X = 27/tan39

3. round ur answer.

x = 33.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 3:

Given: 49°, adj is 14, hyp is x. So this is Cos.

1. Set up according to CAH, Cos 49=(14/x).

We can't solve it this way since the X is on the bottom. So we have to fix it!

2. Turns into X Cos 49 = 14, which then turns into X= 14/cos49.

3. Put it in your calculator as 14 DIVIDED BY cos 49. ( Put image example)

4. Round.

x= 21.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 4:

Given: 15°, 33 hyp, adj x. Which is Cos.

1. Cos 15= x/33 and rewrite.

2. Input as 33 cos(15 into calculator = 31.875...

3. Round to tenth.

x = 31.9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 5:

Given: 52°, 20 adj of °, and x opp of °. Will use TAN.

1. Tan 52° = x/20

2. 20 Tan(52 into calculator

3. Round

x = 25.6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 6:

Given: 27°, opp of ° is 5, hyp is x. Will use Sin.

1. Write out as I have the last few times, Sin 27 = 5/x rewrite cause x can't be at the bottom.

2. Input into calculator as: 5/sin 27 which equals 11.01...

3. Round.

x = 11.0

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 7:

Given: x°, 6 as hyp, 4 opp. now we have to solve this different since we don't know the degree. Now when we input into the calculator you will press 2nd, then sin/cos/tan so it will be negative this is depending on which one ur solving for.

We will be using SIN, x is still a °.

1. Sin X = 4/6 Rewrite.

2. X= Sin^-1 (4/6)

Make sure ur sin is negative in calculator when doing this.

3. It SHOULD give you 41.81, round.

x = 42°

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 8:

Given: x°, 29 opp, 14 adj. TAN.

1. Tan x°= 29/14 or..

2. X = Tan^-1(29/14) solve..

3. gives u 64.23.... round.

x = 64°

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 9:

Given: x°, hyp 54, opp 12. SIN

1. Sin x°=(12/54)

2. X= Sin^-1(12/54) solve. (dont put x= into calculator.)

3. Don't Forget to round, answer unrounded: 12.839..

x = 13°

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 10:

Given: x°, adj 25, hyp 40. COS

1. Cos x°=25/40 rewrite.

2. X= Cos^-1(25/40) Solve.

3. Round.

X= 51°

Answer:

A horizontal translation and a reflection across a vertical line is the map that has a strip pattern onto itself.

Step-by-step explanation:

Answer:

Number Standard Power of 10 Factors of 10 Exponential

700 7 x 10² 7 x 10² 7 x 100 7 x 10²

9,000 9 x 10³ 9 x 10³ 9 x 1000 3² x 10³

80,000 8 x 10⁴ 8 x 10⁴ 8 x 10000 2³ x 10⁴

Explanation:

To write the numbers in a standard form, we need to identify the first digit, and then count the number of digits after that number.

For example, 700 can be written as 7 x 10²

Because the first digit is 7 and there are 2 zeros after the 7.

So, 9,000 is 9 x 10³

80,000 is 8 x 10⁴

Then, if we write the number using a power of 10, we will have the same results as the standard form, because the number has only one digit that is different from zero.

On the other hand, if we will use factors of 10 to express the number, we will use numbers like 10, 100, 1000, and so we get:

700 = 7 x 100

9,000 = 9 x 1,000

80,000 = 8 x 10,000

Finally, for the exponent form, we can write the numbers in the same way as the standard form but we will factorize the number 9 and 8 as follows:

9 = 3² because 3 x 3 = 9

8 = 2³ because 2 x 2 x 2 = 8

Therefore, the exponent form is:

700 = 7 x 10²

9,000 = 3² x 10³

80,000 = 2³ x 10⁴

So, the complete table is:

Number Standard Power of 10 Factors of 10 Exponential

700 7 x 10² 7 x 10² 7 x 100 7 x 10²

9,000 9 x 10³ 9 x 10³ 9 x 1000 3² x 10³

80,000 8 x 10⁴ 8 x 10⁴ 8 x 10000 2³ x 10⁴

Answer:

20° and 70°

Step-by-step explanation:

complimentary angle sum to 90°

let x be the compliment then the angle is 3x + 10 , so

x + 3x + 10 = 90 , that is

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

3x + 10 = 3(20) + 10 = 60 + 10 = 70

the 2 angle measures are 20° and 70°

Answer:

298

Step-by-step explanation:

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