Answer the question below in the picture. Thank you! Have a wonderful day.

Answer:

Step-by-step explanation:

Area

Distance

Answer:

[ ] = 3¹³

Step-by-step explanation:

3¹⁷ - 3¹⁵ + 3¹³ = [ ] x 73

3¹³ [3⁴ - 3² + 1] = [ ] x 73

3¹³ [81 - 9 + 1] = [ ] x 73

3¹³ x 73 = [ ] x 73

[ ] = 3¹³ [It says 3^13 if it is not clear/visible]

The highest altitude of an altocumulus cloud is 3⁹ ft in power.

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward way.

The amount of times a number has been multiplied by itself is shown by its exponent.

Given the lowest altitude of an alto cumulus cloud is about 3⁸ feet. The highest altitude of an altocumulus cloud is about 3 times the lowest altitude.

To find the highest altitude of an altocumulus cloud, we must solve as follows:

Let the lowest altitude be x. Then,

3⁸ = x

The highest altitude will be 3x which is 3(3⁸).

⇒3(3⁸) = 3x

⇒3(6561) = 3x

Simplifying further,

⇒3x6561= 19683

⇒3 (3 x 3 x 3 x 3 x 3 x 3 x 3 x 3) = 19683

⇒3⁹= 19683

Therefore, the highest altitude of an altocumulus cloud is 3⁹ ft in power.

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Answer:

zero solutions, meaning there is no solution

Step-by-step explanation:

The two equations have the same slope, -7, and different y-intercepts, so they represent parallel lines. Since the lines never intersect, there is no solution.

Answer: zero

Answer:

B. No solutions.

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

62°

A line is a simple, one-dimensional shape that can go on forever in the opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.

When the ends of two rays collide at a single location, an angle is the geometry that results. They are measured in degrees (°) or radians. A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠"

∠1+∠2 = 35° +27°

             =62°

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11. The area difference between them is 96 square units (192 - 96).

12. The trough stands 4 feet tall.

11. The area of Figure A is 96 square units (12 x 8) and the area of Figure B is 192 square units (16 x 12). The difference in their areas is 96 square units (192 - 96).

12. Let the height of the trough be h. The volume of the trough is given by the formula:

Volume = base area x height

Substituting the given values:

96 = 24h

Dividing both sides by 24:

h = 4

Therefore, the trough is 4 feet tall.

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Answer:

x = 27

Step-by-step explanation:

11x - 45 = 36 + 8x

Subtract 8x from both sides.

3x - 45 = 36

Add 45 to both sides.

3x = 81

Divide both sides by 3.

x = 27

Answer:

0

Step-by-step explanation:

LN is an horizontal segment. it means that the line is parallel to x axis so its slope is 0

You need to deposit $13 into a account to have amount $5000 in 2 years.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\).

Given that, Amount =$5000, rate of interest =5.89% and time period = 2 year = 104 weeks.

Now, 5000=P(1+5.89/100)¹⁰⁴

5000=P(1+0.0589)¹⁰⁴

5000=P(1.0589)¹⁰⁴

5000=384.5P

P=5000/384.5

P=$13

Therefore, you need to deposit $13 into a account to have amount $5000 in 2 years.

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(a) The Domain of the function is: x ≥ 1, and the Range of the function is: [0, +∞)

(b)The Domain of the function is: (-∞, +∞), and the Range of the function is : [0, +∞)

Let's find the domain and range for each function:

(a) \(f(x) = √(x - 1) / (3 + x^2)\)

Domain:

Since the function involves taking the square root of (x - 1), the expression inside the square root must be non-negative.

Therefore, x - 1 ≥ 0, which means x ≥ 1.

Additionally, since a denominator of (\(3 + x^2\)), ensure that the denominator is not equal to zero. However, the denominator is always positive since \(x^2\) is always non-negative and 3 is positive. So, don't have any additional restrictions on the domain.

Therefore, the domain of function (a) is x ≥ 1.

Range:

To determine the range, consider the behavior of the square root function. The square root of a non-negative number is always non-negative.

Since the function (a) involves taking the square root, the range will be all non-negative values.

In interval notation, the range of function (a) is [0, +∞).

(b) \(f(x) = \sqrt{(x^2 - 5x + 6)\)

Domain:

Since the function involves taking the square root, the expression inside the square root must be non-negative. So, solve the inequality:

\(x^2 - 5x + 6 \geq 0\)

Factoring the quadratic expression, we have:

\((x - 2)(x - 3) \geq 0\)

The critical points are x = 2 and x = 3.

test the intervals created by these critical points to determine the sign of the expression.

Testing x < 2, get a positive value.

Testing 2 < x < 3, get a negative value.

Testing x > 3, get a positive value.

Therefore, the inequality (x - 2)(x - 3) ≥ 0 is satisfied for x ≤ 2 and x ≥ 3.

However, also need to consider the denominator, which is always positive. So, don't have any additional restrictions on the domain.

Therefore, the domain of function (b) is (-∞, +∞).

Range:

Since the function involves taking the square root, the expression inside the square root must be non-negative. So, the range will be all non-negative values.

In interval notation, the range of function (b) is [0, +∞).

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The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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The correct option is A. The volume is 6.77 cubic units

The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].

We want to find the volume of the solid of revolution when the region is rotated about the x-axis.

Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}

To set up the integral to find the volume of the solid of revolution, we can use the disk method.

We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.

The area of a disk is given by the formula: A = πr²

where r is the radius of the disk and is equal to f(x) in this case.

Therefore, the area of a disk is: A = πf(x)²

Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.

We have The integral that should be used to find the volume of the solid is given as:

V = ∫₁⁶ πf(x)² dx

We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.

We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx

Let u = x - 1, so that du/dx = 1 and dx = du.

When x = 1, u = 0, and when x = 6, u = 5.

Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.

The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.

Thus, the correct option is A. The volume is 6.77 cubic units.

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The first 3 terms of the sequence are 21, 24 and 29

From the question, we have the following parameters that can be used in our computation:

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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When 7 is divided by 70.85, the quotient is 0.0988.

The quotient is the result of a division operation.

A division operation is one of the four basic mathematical operations, including addition, subtraction, and multiplication.

A division operation involves the dividend (in this situation, 7) divided by the divisor (70.85) to get 0.0988 (the quotient).

7 ÷ 70.85 = 0.0988

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By analyzing the degrees and leading coefficients, you can determine how the rational function behaves at the extreme ends of the x-axis.

To determine the end behavior of a rational function, you need to examine the degrees of the numerator and denominator polynomials. The end behavior refers to how the function behaves as the input (x-values) approaches positive or negative infinity.

Here are the steps to determine the end behavior of a rational function:

1. Identify the highest power of x in the numerator and denominator. Let's call them n and m, respectively.

2. If n < m, the degree of the denominator is greater than the numerator. In this case, the function's end behavior is determined by the degree of the denominator.

  - If m is even, the function approaches the horizontal axis (y = 0) as x approaches both positive and negative infinity.

  - If m is odd, the function approaches opposite infinities: positive infinity as x approaches negative infinity and negative infinity as x approaches positive infinity.

3. If n = m, the degree of the numerator is equal to the denominator. In this case, the leading coefficients of the numerator and denominator determine the end behavior.

  - The function approaches the ratio of the leading coefficients as x approaches both positive and negative infinity.

4. If n > m, the degree of the numerator is greater than the denominator. In this case, the function's end behavior is determined by the degree of the numerator.

  - If n is even, the function approaches positive infinity as x approaches both positive and negative infinity.

  - If n is odd, the function approaches opposite infinities: positive infinity as x approaches positive infinity and negative infinity as x approaches negative infinity.

By analyzing the degrees and leading coefficients, you can determine how the rational function behaves at the extreme ends of the x-axis.

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Answer:

X = 10

Step-by-step explanation:

X - 6 = 4

X = 4 + 6

X = 10

Answer:10

Step-by-step explanation:

1.add 6 to both sides

x-6+6=4+6

2. simplify

x=10

If the intercept of a multiple linear regression is not statistically significant but the slopes are, it means that the relationship between the independent variables and the dependent variable starts from zero, and the slopes represent the change in the dependent variable for each unit change in the independent variables.

In multiple linear regression, the intercept represents the value of the dependent variable when all independent variables are zero. If the intercept is not statistically significant, it means that the relationship between the independent variables and the dependent variable does not start from a non-zero value. Instead, it starts from zero.

On the other hand, if the slopes are statistically significant, it means that there is a significant relationship between the independent variables and the dependent variable, and each unit change in the independent variables leads to a significant change in the dependent variable. The slopes represent the magnitude and direction of this change. Therefore, although the intercept is not significant, the slopes provide meaningful information about the relationship between the variables.

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Answer:

1100

Step-by-step explanation:

Answer:

A = 55.15

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos A = adj side / hypotenuse

cos A = 4/7

Taking the inverse cos of each side

cos ^-1 ( cos A) = cos ^-1( 4/7)

A =55.15009542

To the nearest hundredth

A = 55.15

The probability of picking a prime or a divisor of 24 from the given cards is ¾

By analysing the given cards which ones are prime or a divisor of 24.
1. Prime number = 7
2. Divisor of 24 = 6,8

There are 2 cards (6 and 8) that are divisors of 24 and one card (7) that is prime. This means 3 cards out of the 4 meet the criteria.

To find the probability of this event, we can use:

P(prime or divisor of 24) =    

  Number of outcomes that make an event  

  Total number of outcomes of the experiment                      

P(prime or divisor of 24) = ¾

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Numeric data can be used to present facts, show relationships between variables, and support an argument.

Numeric data is a powerful tool that can be used to present facts, demonstrate relationships between variables, and support an argument. It is often used to provide evidence for a particular point of view, and it can be used to persuade an audience or inform them about a particular topic. Numeric data can be presented in various forms such as graphs, tables, and charts, and when used effectively, it can be a very effective tool for conveying information. It is important to understand how to interpret numeric data correctly, as it can be used to draw false conclusions if the data is misinterpreted.

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Answer: 2289.06

Step-by-step explanation:

math expert

Answer:

r = 169.56 in. / 2π ≈ 27 in.

Now we can use the radius to find the area:

Area = πr^2 ≈ π(27 in.)^2 ≈ 2289.06 in^2

So the area of the circular table is approximately 2289.06 square inches, rounded to the nearest hundredth. The answer is option C.

Answer:

\( \boxed{\bf A. \: x - 2}\)

Step-by-step explanation:

\( \sf ( x + 1)^2-9/ x + 4 \)

First, we need to factor the expressions that are not already factored.

Now, let's Cancel out x+4 in both numerator and denominator.

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

Answer:

\(x^2 = 2y\) --- equation

\((x,y) = (0,\frac{1}{2})\) --- focus

\(y = -\frac{1}{2}\) --- directrix

\(Width = 2\) ---- focal width

Step-by-step explanation:

Given

\(depth = 2\)

\(diameter = 4\)

Required

The equation of parabola

The depth represents the y-axis. So:

\(y = 2\)

The diameter represents how the parabola is evenly distributed across the x-axis.

We have:

\(diameter = 4\)

-2 to 2 is 4 units.

So:

\(x = [-2,2]\)

So, the coordinates of the parabola is:

\((-2,2)\ and\ (2,2)\)

The equation of the parabola is calculated using:

\(x^2 = 4py\)

Substitute (-2,2) for (x,y)

\((-2)^2 = 4p*2\)

\(4 = 8p\)

Divide by 8

\(p = \frac{4}{8}\)

\(p = \frac{1}{2}\)

So, the equation is:

\(x^2 = 4py\)

\(x^2 = 4 * \frac{1}{2} * y\)

\(x^2 = 2y\)

The defining features

(a) Focus

The focus is located at:

\((x,y) = (0,p)\)

\((x,y) = (0,\frac{1}{2})\)

(b) Directrix (y)

\(y = -p\)

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

(c) Focal width

\(Width = 4p\)

\(Width = 4*\frac{1}{2}\)

\(Width = 2\)

The coordinates of triangle DEF are D(9, 3), E(15, 6), and F(21, 3) respectively.

To find the coordinates of triangle DEF, which is similar to triangle ABC through a dilation of 3. Here we need to multiply the coordinates of each point in triangle ABC by the scaling factor of 3.

Let us denote the coordinates of triangle ABC as A(3, 1), B(5, 2), and C(7, 1). To find the coordinates of triangle DEF, we multiply the x and y coordinates of each point by 3.

Coordinates of triangle DEF:

D = (3 ×3, 1 ×3) = (9, 3)

E = (5 × 3, 2 ×3) = (15, 6)

F = (7 ×3, 1 × 3) = (21, 3)

Therefore, the coordinates of triangle DEF are D(9, 3), E(15, 6), and F(21, 3) respectively.

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The solution of the equation 3z minus 2 is equal to 46 is 16.

The given equation '3z minus 2 is equal to 46' can be written as

    3z - 2  =   46

Now solving for z because the value of z will give the required solution of the given equation. So now finding the z from the equation:

   3z = 46  + 2

   3z =  48

   z = 48/3

   z = 16

The value of the z is 16 which represents the solution of the given equation i.e 3z minus 2 is equal to 46.

Therefore it is concluded that the solution of the equation 3z minus 2 is equal to 46 is 16.

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The ordered pair (-6, 8) in the first row of the table can be written using function notation as f(-6) = 8

In this question we have been given the table with two columns.

First column contains the values for x and the second column contains the values for f(x).

x :    -6   7   4   3   -5

f(x) :  8   3  -5  -2  12

The first column represents the input values x which are independent. As the second column is f(x), it means all the values which we get as input values of x. This means, f(x) represent the output values.

The ordered pair given in the first row of the table is (-6, 8)

This can be written using function notation as f(-6) = 8

Therefore, from the given function table f(-6) = 8

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Answer:

0.72321

Step-by-step explanation:

Given that :

Mean = 21604

Standard deviation (s) = 727

Sample size (n) = 193

P(x < 21635) :

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s/√n

Z = (21635 - 21604) / 727/√193

Z = 31 / 52.330605

Z = 0.5923875

P(Z < 0.5924) = 0.72321 (Z probability calculator)

p(Z < 0) = 0.5 ( Z probability calculator)

As the x-values go to either positive or negative infinity, the function decreases towards negative infinity.

Step 1: Identify the degree and leading coefficient.
In f(x) = -x² - 1, the degree is 2 (the highest power of x), and the leading coefficient is -1.
Step 2: Determine the end behavior based on the degree and leading coefficient.
Since the degree is even (2) and the leading coefficient is negative (-1), we know that both ends of the graph will point in the same direction.

Step 3: Identify the specific end behavior.
Because the leading coefficient is negative, the graph of the function will open downward. As x approaches positive infinity, f(x) will decrease towards negative infinity. Similarly, as x approaches negative infinity, f(x) will also decrease towards negative infinity.

Step 4: Write the end behavior in a concise format.
The end behavior of f(x) = -x² - 1 can be written as:
As x → ±∞, f(x) → -∞.
In summary, the function f(x) = -x² - 1 has a downward-opening parabola due to its even degree and negative leading coefficient.

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