(7x^9)^2*3x^11

^ is the exponent sign

Answer: 625/12

U just have to find the roots then the product then eliminate the exponent.

Mark branliest <3

The sum of angles of a triangle formed in a spherical geometry exists equivalent to 180∘.

The sum of angles of a triangle formed in a spherical geometry exists equivalent to 180∘.

A category of non-Euclidean geometry, spherical geometry is a subset of elliptical geometry. Any type of geometry that is not founded on conventional planes is known as non-Euclidean geometry. Lines in non-Euclidean geometry are not always the usual straight lines found in Euclidean geometry (i.e., plane geometry).

We require opposing sides and angles in order to use the sine rule. We can utilise this knowledge to locate the side that is opposite the other angle if we know two angles and one of the sides opposite. Accuracy points may be lost because of this.

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Answer:

$31365.60

Step-by-step explanation:

The equation y = -4 cos(πx - 2) represents a cosine function with specific parameters.

Amplitude: The amplitude of the function is given by -4. The negative sign indicates that the graph will be reflected across the x-axis, resulting in a downward orientation.

Period: The period of the cosine function is determined by the coefficient of x inside the cosine function, which is π (pi) in this case. The period (T) can be calculated using the formula T = 2π/|B|, where B is the coefficient of x. In our equation, T = 2π/|π| = 2. Therefore, the graph will complete one full period over the interval [0, 2].

Phase Shift: The phase shift is determined by the constant inside the cosine function, which is -2 in this case. The phase shift (C) can be calculated using the formula C = D/B, where D is the constant inside the cosine function and B is the coefficient of x. In our equation, C = -2/π. Since the phase shift is subtracted from x, the graph will shift 2 units to the right.

Vertical Shift: There is no vertical shift in this equation, as there is no constant term added to the cosine function.

Based on these parameters, we can draw the graph of y = -4 cos(πx - 2). Here are the key characteristics:

The graph will have a downward orientation due to the negative amplitude.

The graph will have a period of 2, meaning it will repeat every 2 units along the x-axis.

The graph will be shifted 2 units to the right due to the phase shift.

To plot the graph, we can start by marking the key points:

At x = 0, the cosine function starts at its maximum value of 1. Since the amplitude is -4, the corresponding y-value would be -4.

Moving to the right by 1 unit (due to the period), we reach x = 1. At this point, the cosine function reaches its minimum value of -1. The corresponding y-value would be -4 * (-1) = 4.

Continuing in this manner, at x = 2, the cosine function completes one full period and returns to its maximum value of 1. The corresponding y-value would be -4.

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Answer: 66%

Step-by-step explanation: To convert a fraction to a percentage, divide the top number by the bottom number. For example, \(\frac{1}{4}\) is 25% because if divide them, (1÷4=0.25) then we get 25%. So, for this problem, we solve 2÷3, which equals 0.66, or 66%.

hope this helps!

please give brainliest!

Answer:

0.04

Step-by-step explanation:

5^4=625

5^-3= 0.008

0.008^2=0.000064

0.000064*625=0.04

Step-by-step explanation:

7x×5x=140

35x²=140

x²= 4

x=2

Smaller number = 5x = 5×2=10

Hope this helps you.

The radius divides the diameter into 2, and the radius of the circle is 16 units

The radius of the circle and the tangent line meet at a right angle.

This means that:

CE² = r² + DE² ------ Pythagoras theorem

So, we have:

34² = r² + 30²

Evaluate the squares

1156 = r² + 900

Rewrite as:

r² = 1156 - 900

Evaluate

r² = 256

Take the square root of both sides

r = 16

Hence, the radius of the circle is 16 units

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For the linear function built from the scatter plot, it is found that:

The slope-intercept representation of a linear function is the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:

b = 500.

When the input increases by 200, the output increases by 1000, hence the slope is:

m = 1000/2 = 5.

Thus the equation is:

y = 5x + 500.

The graph is given by the image at the end of the answer.

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To find the average rate of change of the value of Painting A over a 3-year period, we need to calculate the change in value over that period and divide by the length of the period.

The value of Painting A after x years is given by the function f(x) = 50,000 (1.064)^x. Therefore, the value after 3 years is f(3) = 50,000 (1.064)^3.

The value of Painting A at the beginning of the 3-year period is f(0) = 50,000 (1.064)^0 = 50,000.

The change in value over the 3-year period is therefore:

f(3) - f(0) = 50,000 (1.064)^3 - 50,000

Simplifying this expression, we get:

f(3) - f(0) = 50,000 (1.064)^3 - 50,000

= 50,000 (1.064^3 - 1)

Using a calculator, we can evaluate this expression to be approximately $8,490.52.

Therefore, the average rate of change of the value of Painting A over the 3-year period is:

Average rate of change = change in value / length of period

= $8,490.52 / 3 years

= $2,830.17 per year

So the average rate of change of the value per year, over a 3 year period, is $2,830.17.

Step-by-step explanation:

To find the average rate of change of the value per year for a 3-year period, we need to find the value of the function at the beginning and end of the period and then calculate the average rate of change between them.

Let's first find the value of Painting A at the beginning and end of the 3-year period. We can use the given function and plug in x = 0 and x = 3:

f(0) = 50,000(1.064)^0 = 50,000

f(3) = 50,000(1.064)^3 ≈ 60,918.61

So, the value of Painting A at the beginning of the 3-year period was $50,000, and at the end of the period, it was approximately $60,918.61.

To find the average rate of change per year, we need to calculate the total change in value over the 3-year period and divide by the number of years. The total change in value is:

60,918.61 - 50,000 = 10,918.61

So, the average rate of change of the value per year over the 3-year period is:

10,918.61 / 3 ≈ 3,639.54

Therefore, the average rate of change of the value per year for Painting A over a 3-year period is approximately $3,639.54.

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?

The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.

The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?

Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.

Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.

The inverse sine of 0.707 is π/4 radians or 45 degrees.

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Answer:

Length of the rectangle = 43 inches

Width of the rectangle= 20 inches

Step-by-step explanation:

Using equations, the time for the main engine 14.4 seconds and 21.6 seconds for the auxiliary engine

Let's call the time each engine takes to consume its allotted fuel supply as "t₁" for the main engine and "t₂" for the auxiliary engine.

From the first piece of information, we know:

t₁ = (2/3)t₂

From the second piece of information, we know that the combined fuel consumption time for both engines is 36 seconds:

t₁ + t₂ = 36

Now we can substitute the first equation into the second:

t₁ + (2/3)t₂ = 36

Combining like terms:

t₂ = 21.6

Finally, substituting t₂ back into the first equation:

t₁ = (2/3)(21.6) = 14.4

So the main engine alone could be fired for 14.4 seconds and the auxiliary engine alone could be fired for 21.6 seconds.

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Answer:

equilateral because all the sides are equal

We have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

To prove that △ABD ≅ △CBD, we can use the SAS (Side-Angle-Side) congruence criterion.

Given:

∠BDA ≅ ∠BDC (Both are right angles)

D is the midpoint of AC¯¯¯¯¯

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯

BD¯¯¯¯¯ bisects ∠B

Proof:

Since D is the midpoint of AC¯¯¯¯¯, we have AD ≅ CD by the definition of a midpoint.

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯ (Given)

BD¯¯¯¯¯ is a common side for both triangles.

∠BDA ≅ ∠BDC (Given)

To apply the SAS congruence criterion, we need to show that one pair of corresponding sides and the included angle are congruent in both triangles.

AD ≅ CD (Side) - This is true as D is the midpoint of AC¯¯¯¯¯.

∠BDA ≅ ∠BDC (Included Angle) - Both are right angles.

By the SAS congruence criterion, we can conclude that △ABD ≅ △CBD.

Therefore, we have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

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Answer:

a) 0.34 = 35% probability that at least one member of a married couple will vote.

b) 0.7143 = 71.43% probability that a wife will vote

c) 0.0968 = 9.68% probability that a husband will vote

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

This is used for itens B and C. For item a, we treat the probabilities as Venn sets.

A) What is the probability that at least one member of a married couple will vote?

I am going to say that:

Event A: Husband votes.

Event B: Wife votes.

The probability that the husband will vote on a bond referendum is 0.21

This means that \(P(A) = 0.21\)

The probability that the wife will vote on the referendum is 0.28

This means that \(P(B) = 0.28\)

The probability that both the husband and the wife will vote is 0.15.

This means that \(P(A \cap B) = 0.15\)

At least one votes:

This is \(P(A \cup B)\), which is given by:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

So

\(P(A \cup B) = 0.21 + 0.28 - 0.15\)

\(P(A \cup B) = 0.34\)

0.34 = 35% probability that at least one member of a married couple will vote.

B) What is the probability that a wife will vote, given that her husband will vote?

Here, we use conditional probability:

Event A: Husband votes:

Event B: Wife votes

The probability that the husband will vote on a bond referendum is 0.21

This means that \(P(A) = 0.21\)

Intersection of events A and B:

Intersection between husband voting and wife voting is both voting, which means that \(P(A \cap B) = 0.15\)

The desired probability is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.21} = 0.7143\)

0.7143 = 71.43% probability that a wife will vote.

C) What is the probability that a husband will vote, given that his wife does not vote?

Event A: Wife does not vote.

Event B: Husband votes.

The probability that the wife will vote on the referendum is 0.28

So 1 - 0.28 = 0.62 probability that she does not vote, which means that \(P(A) = 0.62\)

Probability of husband voting and wife not voting:

0.21 probability husband votes, 0.15 probability wife votes, so 0.21 - 0.15 = 0.06 probability husband votes and wife does not, so \(P(A \cap B) = 0.06\)

The desired probability is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.62} = 0.0968\)

0.0968 = 9.68% probability that a husband will vote

The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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Answer:

1. Arc BC = 78°

2. Arc ABC = 180°

3. Arc ADB = 258°

4. Arc EC = 102°

Step-by-step explanation:

Question 1 explanation: Since ∠AFE and ∠CFB are vertical angles, that means their angle measure is equal, so Arc BC has an angle measure of 78°.

Question 2 explanation: Because AC is the diameter of circle F, this means that the angle measure of Arc ABC is 180°.

Question 3 explanation: Since the angle measure of AC is 180° and ∠AFE and ∠EFD are 78° and 54° respectively, that means Arc DFC has an angle measure of 48°. Because you already know ∠CFB is 78°, that means Arc ADB has an angle measure of 258°.

Question 4 explanation: You already know Arc DFC is 48°, so Arc EC has an angle measure of 102°.

Answer:

Step-by-step explanation:

when 2 and 4 are factors of a number then 8 will also be factor of that number. Example: let's take the number 8 here 2,4 and 8 are factors of the number.

Answer:

Here is what you do. Make it into vertex form and then whatever the x factor is is the growth factor

Answer:

Step-by-step explanation:

answer is 49 good luck :)

Answer:

she will have to pay $20

Step-by-step explanation:

if she rents the shoes that $4 then the game was $3 each and she played 7  so 3x7=21 so thats $21+$4=$25 so her total before the coupon would have been $25. Then the 20% off would take $5 off so she would pay $20

Hope this helps.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

In 3.5 days, distance covered = 846 miles,

To find distance covered in 1 day, use ratio property,

3.5 days = 846 miles

1 day = 846/3.5

1 day = 246.86 miles

Also given that,

In 6 days, distance covered = 322.5 miles,

To find distance covered in 1 day, use ratio property,

6 days = 322.5 miles

1 day = 322.5/6

1 day = 53.75 miles

The average trip = (246.86+53.75)/2

                            = 150.305

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Given data:

The first interest rate is r=7%.

The second interest rate is r'=8%.

The total interest is I=$306.

The principle amount in 8% is p'=p+900.

The given timme is t=1.

The first interest is,

i=(prt)/100

substitute the given values.

i=p(7)(1)/100

=0.07p

The second interest is,

i'=(p'rt')/100

substitute the given values.

i'=(p+900)(8)(1)/100

=0.08(p+900)

=0.008p+72.

The expression for the total interest is,

I=i+i'

Substitute the above-calculated values.

306=0.07p+0.08p+72

234=0.15p

p=1560.

Investment in 8% is,

p'=1560+900

=2460.

Thus, the money invested in 7% account is $1560 and the money invested in 8% account is $2460.

First, we will subtract the first hour which is $2 from $5

$5 - $2 = $3

$3 / 0.75 = 4

Hours he can park = 4 + 1 = 5 hours

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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Answer:

73°

Step-by-step explanation:

This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.

The triangle has two angles implied, 30 degrees and (180-137) degrees.

(180 - 137) = 43 degrees

Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.

180 - 43 - 30 = 107

The angle with a measure of 107 degrees and angle 3 are supplementary

180 - 107 = 73 degrees

Answer:73.4° Fahrenheit.

Step-by-step explanation:

Answer: Its B

Step-by-step explanation: