An airplane flies at an elevation of 500 feet above sea level. A whale swims the same distance below sea level, what number represents the elevation of a whale?

Answer:

  (f+g)(x) = 5x +3

Step-by-step explanation:

(f+g)(x) = f(x) +g(x)

  = (2x -6) +(3x +9)

  = 2x +3x -6 +9

(f+g)(x) = 5x +3

The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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Answer:

3. D

4. A

5. C

6. A

hopefullt this helps!

if its incorect im sorry i tried

Answer:

The correct answer is C: 4x2.3

Step-by-step explanation:

In the order of operation when something is bold it means its the first thing you gotta solve

Hope this helps <3

and have a good day :)

Brainliest plz? :)

Answer:

y^2 + 4y + 3

Step-by-step explanation:

(y + 3)(y + 1)

(y*y) + (y*1) + (3*y) + (3*1)

y^2 + y + 3y + 3

y^2 + 4y + 3

Best of Luck!

Answer:

a8 12 16 b.5 65  3

Step-by-step explanation:

ere

The domain of the graph is, { x | - 3 ≤ x ≤ 5 }

The range of the graph is, {y | 10 ≤ y ≤ 60 }

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The graph is shown in figure.

We know that;

The domain of the graph is shown on x - axis, and range of the graph is shown y - axis by graph.

Hence, Domain of graph is,

⇒ { x | - 3 ≤ x ≤ 5 }

And, Range of graph is,

⇒ {y | 10 ≤ y ≤ 60 }

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Answer:

the way in which factors are grouped in a multiplication problem does not change the product.

Step-by-step explanation:

Answer:

-252743.75

Step-by-step explanation:

Answer:

C = 7

Step-by-step explanation:

EDG

Answer:

\(\mu =2.16\) --- Mean

\(\sigma^2 = 1.4944\) -- Variance

\(\sigma = 1.222\) --- Standard deviation

Step-by-step explanation:

Given

\(\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.12} & {0.2} & {0.2} & {0.36} & {0.12} \ \end{array}\)

Solving (a): The population mean

This is calculated as:

\(\mu = \sum x * P(x)\)

So, we have:

\(\mu =0*0.12 + 1 * 0.2 + 2 * 0.2 + 3 * 0.36 + 4 * 0.12\)

\(\mu =2.16\)

Solving (b): The population variance

First, calculate:

\(E(x^2)\) using:

\(E(x^2) = \sum x^2 * P(x)\)

So, we have:

\(E(x^2) = 0^2*0.12 + 1^2 * 0.2 + 2^2 * 0.2 + 3^2 * 0.36 + 4^2 * 0.12\)

\(E(x^2) =6.160\)

So, the population variance is:

\(\sigma^2 = E(x^2) - \mu^2\)

\(\sigma^2 = 6.16 - 2.160^2\)

\(\sigma^2 = 6.160 - 4.6656\)

\(\sigma^2 = 1.4944\)

Solving (c): The population standard deviation

This is calculated as:

\(\sigma = \sqrt{\sigma^2}\)

\(\sigma = \sqrt{1.4944}\)

\(\sigma = 1.222\)

Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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Answer:

Second side = x feet

First side = x - 2 feet

Third side = x - 4 feet

Perimeter is 15 feet

15 = x + x - 2 + x - 4

Solve for x and then plug your x-value back into the three sides given above

Question A is the survey that you expect to have fair results regarding attitudes about carnivals

This survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.

Option B uses the adjective "exciting," which could lead people to think positively about carnivals.

Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.

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The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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The amount of money earned by Zach each week will be equal to $9 per week.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given data in the question,

Total amount earned by Zach = $36

The time taken to earn the amount = 4 weeks

Then, the amount earned each week will be.

= $36/4

= $9 per week

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The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

The volume of the display case in cubic inches is 10,328 1/16 in.

Answer: plant’s height = 37 centimeters

it grows at a rate of 0.004 centimeter per hour of sunlight

Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives.

the number of hours of sunlight = s

Than the equation become in the form

f(s) = 0.004s + 37

this equation shows the  height of the plant .

Based on its second derivative and given initial values, the function is equal to f(x) = (1 / 3) · x³ - 6 · sin x + 8 · x + 4.

In this problem we find the definition of the second derivative of a function, whose form must be dertermined by integration and the use of initial values. First, write the second derivative:

f''(x) = 2 · x + 6 · sin x

Second, determine the first derivative of the function:

f'(x) = x² - 6 · cos x + C

2 = 0² - 6 · cos 0 + C

2 = - 6 + C

C = 8

f'(x) = x² - 6 · cos x + 8

Third, determine the function:

f(x) = (1 / 3) · x³ - 6 · sin x + 8 · x + C

4 = (1 / 3) · 0³ - 6 · sin 0 + 8 · 0 + C

4 = C

C = 4

f(x) = (1 / 3) · x³ - 6 · sin x + 8 · x + 4

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If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)

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

Start = (0, -4)

Also, we have

You move left 1 unit and right 4 units

Mathematically, this can be expressed as

(x, y) = (x - 1 + 4, y)

Substitute the known values in the above equation, so, we have the following representation

Endpoint = (0 - 1 + 4, -4)

Evaluate the expression

Endpoint = (3, -4)

Hence, the endpoint is (3, -4)

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Number of 20-cent coins in the box are 33.

1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.

2. We can set up two equations based on the given information:

  - x + y = 54   (since the total number of coins in the box is 54)

  - 0.20x + 0.50y = 20.70   (since the total value of all the coins is $20.70)

3. We can multiply the second equation by 100 to get rid of the decimals:

  - 20x + 50y = 2070

4. Now, we can use the first equation to express y in terms of x:

  - y = 54 - x

5. Substitute the value of y in the second equation:

  - 20x + 50(54 - x) = 2070

6. Simplify and solve for x:

  - 20x + 2700 - 50x = 2070

  - -30x = -630

  - x = 21

7. Substituting the value of x back into the first equation:

  - 21 + y = 54

  - y = 33

8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.

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Answer:

3:6:2:1

Step-by-step explanation:

You can't divide any of them with a common denominator anymore, this is the lowest ratio.

\(y = -\frac{1}{9}(x - 1)^2 - 6\)

Step-by-step explanation:

The vertex form of the equation for a parabola is given by

\(y = a(x - h)^2 + k\)

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

\(y = a(x - 1)^2 - 6\)

Also, since the parabola passes through (4, -7), we can use this to find the value for a:

\(-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6\)

or

\(a = -\frac{1}{9}\)

Therefore, the equation of the parabola is

\(y = -\frac{1}{9}(x - 1)^2 - 6\)

Answer:

77.16 lbs

:)))))))))))))

The missing fourth vertex needed to create a rectangle is (25, 3) option D.

Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.

Here, the width of one side of the rectangle;

⇒ +3 - (-6) = 9 unit                (left side y-coordinates)

Similarly the length of the rectangle;

⇒ 25 - (-15) = 40 unit             (up-side x-coordinates)

Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)

So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:

⇒ (25, -6+9) = (25, 3)

⇒ (-15+40, 3) = (25, 3)

Therefore, the missing fourth vertex is (25, 3)

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Answer:

8.604 in.

Step-by-step explanation:

We can use the formula for compound interest to find the height of domino #9:

A = P(1 + r)^n

where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).

Substituting the given values:

A = 3.00 in * (1 + 0.15)^9

Simplifying:

A = 3.00 in * 2.86797199

A ≈ 8.604 in

Therefore, the height of domino #9 is approximately 8.604 inches.

Answer:

she babby sat atleast 4 hours last week