The elevation of a fish is -27 feet The fish decreases its elevation by 32 feet and then it increases its elevation by 14 feet what is its new elevation

Answer:

2.43 • 10^-18

The mass of 90,000 molecules of methane is 2.43x10⁻¹⁸ grams.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Given that the mass of one methane molecule is 2.7x10⁻²³ gram. Find the mass of 90,000 molecules of methane.

The mass of 90000 molecules of methane will be calculated as below:-

Mass = 2.7x10⁻²³ x  90,000

Mass = 2.43x10⁻¹⁸ grams.

Therefore, the mass of 90,000 molecules of methane is 2.43x10⁻¹⁸ grams.

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The solution of the equation expressed as 3 (x minus 1.25) = 11.25 is

A = 3 ( x - 1.25 ) = 11.25

The value of the equation is 5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now the value of the equation A is

The equation A is expressed as 3 (x minus 1.25) = 11.25

Substituting the value in the equation , we get

A = 3 ( x - 1.25 ) = 11.25

3 ( x - 1.25 ) = 11.25

On simplifying the equation , we get

Divide by 3 on both sides, we get

x - 1.25 = 3.75

Adding 1.25 on both sides of the equation , we get

x = 5

So, the value of x is 5

Hence , The solution of the equation expressed as 3 (x minus 1.25) = 11.25 is  A = 3 ( x - 1.25 ) = 11.25

The value of the equation is 5

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Answer: Tobin should have divided by 3

Step-by-step explanation: I took the test please mark brainliest

The difference between the range and interquartile range of the temperatures data is equal to 16.

Mathematically, range can be calculated by using this formula;

Range = Highest number - Lowest number

Range = 84 - 38

Range = 46.

Mathematically, interquartile range (IQR) is the difference between first quartile (Q₁) and third quartile (Q₃):

IQR = Q₃ - Q₁

Based on the given box and whisker plot (see attachment), we can logically deduce the following quartile ranges:

Third quartile, Q₃ = 48

First quartile, Q₁ = 78

Now, we can calculate the interquartile range (IQR) is given by:

Interquartile range, IQR = Q₃ - Q₁

Interquartile range, IQR = 78 - 48

Interquartile range, IQR = 30

For the difference, we have:

Difference = Range - IQR

Difference = 46 - 30

Difference = 16

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Answer: x = \(-\frac{10}{3} - \frac{2y}{3}\)

Step-by-step explanation:

-3x  -2y = 10      Get x alone by add 2y to both sides

      +2y    +2y

-3x = 10  + 2y    Divide both sides by -3

x = -10/3  - 2y/3

Answer:

7 8 9

Step-by-step explanation:

7 is larger then 6 and smaller then 10

the same goes for 8 and 9

so 7 8 9 are the three numbers that u can use as a

The expression tan59° = h/17 can be used to determine the height (h), in feet, of the flagpole.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The height of the flagpole is the opposite side of the right triangle formed by the flagpole, its shadow on the ground, and the line from the top of the flagpole to the end of the shadow.

The angle of elevation of the sun is opposite the height of the flagpole, and the length of the shadow is the adjacent side.

Therefore, the tan of the angle of elevation is equal to the height of the flagpole divided by the length of the shadow:

tan59° = h/17

Thus, the correct expression to determine the height of the flagpole is:

B. tan59° = h/17

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a) The velocity function is v(t) = -3 cos(t) - 1.

b) The object's displacement is 3sin(3) - K - 3.

c) The total distance traveled by the object from time 0 to time 3 is 3sin(3) + 3 meters.

a) To find the equation for the velocity of the object, we need to integrate the function for acceleration with respect to time. The velocity function v(t) is the antiderivative of a(t). Since a(t) = 3 sin(t), the antiderivative of a(t) is v(t) = -3 cos(t) + C, where C is the constant of integration.

We can find C using the initial velocity given. Since v(0) = -2m/s, we substitute t=0 and v(0) = -2m/s into the velocity function to get:

v(0) = -3 cos(0) + C = -2

Solving for C, we get C = -1. Now we can write the velocity function as:

v(t) = -3 cos(t) - 1

b) To find the displacement of the object from time 0 to time 3, we need to integrate the velocity function with respect to time over the interval [0,3]. The displacement function s(t) is the antiderivative of v(t):

s(t) = ∫v(t) dt = ∫(-3cos(t) - 1) dt = 3sin(t) - t - K

where K is the constant of integration. Since we want to find the displacement from time 0 to time 3, we evaluate s(3) - s(0):

s(3) - s(0) = (3sin(3) - 3) - (0 - K) = 3sin(3) - K - 3

c) To find the total distance traveled by the object from time 0 to time 3, we need to calculate the area under the absolute value of the velocity curve over the interval [0,3]. Since the velocity is negative for some time intervals, we take the absolute value of the velocity function:

|v(t)| = |-3cos(t) - 1| = 3cos(t) + 1

We can integrate this function from 0 to 3 to get the total distance traveled:

∫|v(t)| dt = ∫(3cos(t) + 1) dt = 3sin(t) + t + C

Evaluating this at t=3 and t=0, we get:

∫|v(t)| dt = (3sin(3) + 3) - (0 + 0) = 3sin(3) + 3

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Answer: 30.48

Step-by-step explanation:

2.54x12=30.48

Answer:

44 cm^2

Step-by-step explanation:

You can separate this figure into three rectangles. The area of the first rectangle is 20. The area of the second rectangle is 6. And the area of the third is 18. If you add those all together you get 44 cm^2

The probability that he will have a male history teacher two years in a row is (3/8)² option third is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The question is incomplete.

The complete question is:

Vinay constructed this spinner based on the population of teachers at his school. A spinner with 8 equal sections.

According to Vinay’s model, what is the probability that he will have a male history teacher two years in a row?

Please refer to the attached picture for figures and options.

We have:

A spinner with 8 equal sections.

Number of male teachers = 3

P(male history teacher) = 3/8

In two years:

P(male history teacher year two) = 3/8

P(male, male) = (3/8)(3/8) = (3/8)²

Thus, the probability that he will have a male history teacher two years in a row is (3/8)² option third is correct.

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Answer:

yo

"y'all gonna' make me lose my mind, __ __ ____, __ __ ____!"

(answer above the rest of the line of lyrics if u know the song)

The required function y = 7 cos (2π * 0.1 * x) and period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.

he cosine function can be used to model periodic motion, and its general form is:

y = A cos (Bx + C) + D

where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.

In this case, we know that a 14 in. wave occurs every 10 s, so we can use this information to find the frequency, which is the reciprocal of the period. The period is the time it takes for one complete cycle of the wave, which in this case is 10 s.

Therefore, the frequency is:

\(f = \frac{1}{T}=\frac{1}{10} = 0.1 Hz\)

We can also see that the amplitude of the wave is 7 inches, since the wave has a height of 14 inches from its highest point to its lowest point.

Now we can write the function that models the height of the particle in inches y as it moves in seconds x:

y = 7 cos (2π * 0.1 * x)

Here, the frequency is expressed in radians per second (2π * 0.1 = 0.2π), since the cosine function takes radians as its argument. The phase shift and vertical shift are both zero in this case, since the wave starts at its highest point and has no vertical shift.

Therefore, the period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.

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Answer:

X+Y= 8w²–7w +7

Step-by-step explanation:

X+Y= ( 7w²+4w-6 ) + (w²-11w+13)

X+Y= 8w²–7w +7

I hope I helped you^_^

Answer:

+2 or adding 2 each step

So it is a linear function

Step-by-step explanation:

-2 + 2 = 0

0 + 2 = 4

4 + 2 = 6

So forth..

Answer:

Arithmetic sequence.

Step-by-step explanation:

Answer:

1.1

Step-by-step explanation:

The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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Answer:

1+tan2x=sec2x.

Explanation: Change to sines and cosines then simplify.

Answer:

There were 54

Step-by-step explanation:

As you said 46 people were surveyed maybe there's 100 people were surveyed so this is my first answer

Answer:

Step-by-step explanation:

6cm

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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f(x) = x^4 - 5x^3 + x^2 + 21x - 18

=======================================================

Explanation:

The root x = -2 means x+2 is a factor. This is because we add 2 to both sides of x = -2 to get x+2 = 0.

Similarly, x = 3 leads to x-3 being another factor. It's a double root so we really have two copies of (x-3)

The last root is x = 1 which gives the factor x-1.

The four factors are: (x+2)(x-3)(x-3)(x-1)

Let's use the FOIL rule to expand out the first two factors

(x+2)(x-3) = x^2-3x+2x-6 = x^2-x-6

Do the same for the last two factors

(x-3)(x-1) = x^2-1x-3x+3 = x^2-4x+3

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

So far we have:

(x+2)(x-3) = x^2-x-6

(x-3)(x-1) = x^2-4x+3

which leads to  

(x+2)(x-3)(x-3)(x-1) = (x^2-x-6)(x^2-4x+3)

From here I'll use the box method to multiply these trinomials. Check out the diagram below. Each inner cell is the result of multiplying the headers. Example: x^2 times x^2 = x^4 in the upper left corner.

I've color-coded the inner cells to show the like terms. Add up those like terms:

Therefore we end up with

(x^2-x-6)(x^2-4x+3) = x^4 - 5x^3 + x^2 + 21x - 18 which is choice B

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

To verify this answer, plug in x = 0 and you should get y = -18 to show that we have the correct y intercept. If we tried this with choice A, then we'd get y = 18 which helps eliminate choice A.

Furthermore, plug in x = -2 into choice B and you should get y = 0 as an output. The same applies to x = 3 and x = 1. This confirms that they are roots or x intercepts of the polynomial.

Another way to verify the answer is to use something like WolframAlpha to type in (x+2)(x-3)(x-3)(x-1). Under the "expanded form" subsection, it says x^4 - 5x^3 + x^2 + 21x - 18

Answer:

97.6

Step-by-step explanation:

Answer:

97.6

Step-by-step explanation:

The percentage change in GDP is 2.04%

Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.

The formula of percentage change is given as

Percentage change =[ (New increase - old value) / old value] * 100

Percentage change = [(14.72 - 14.42) / 14.72] * 100

Percentage change = 2.04%

In this case, there is a percentage decrease of 2.04%

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The value of the variable is 1. 40

we need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.

these algebraic expressions are also made up of arithmetic operations.

These arithmetic operations are listed as;

From the information given, we have that;

7.5x/11=4.8/5

cross multiply the values, we get;

7.5x(5) = 4.8(11)

multiply the values

37. 5x = 52. 8

Divide both sides by the coefficient of x, we get;

x = 1. 40

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Answer:

I hope it's 3...….........