Identify the 19th term of a geometric sequence where a1 = 14 and a9 = 358. 80. Round the common ratio and 19th term to the nearest hundredth. A19 ≈ 9,195. 53 a19 ≈ 31,035. 73 a19 ≈ 13,185. 66 a19 ≈ 20,690. 49.

Answer:

fourth one = 780

Step-by-step explanation:

-4-30-3 =-37

8/10-2 = -6/5

3(-92)+28 = 248

-26* -30 = 780

The two solutions are π/3 and 2π/3. These solutions are in the range of 0 ≤ θ < 2 π.Therefore, the correct option is (G)

The given equation is 2sinθ-√3=0. We have to find the solutions of this equation for 0 ≤ θ < 2 π.

Therefore, 2sinθ - √3 = 0

Add √3 to both sides,

2sinθ = √3

Divide both sides by 2,

sinθ = √3/2

To find the solutions of sinθ = √3/2 for 0 ≤ θ < 2 π, we can use the reference angles of sin.

sinθ is positive in the first and second quadrants and the reference angle is π/3.

The two solutions are π/3 and 2π/3. These solutions are in the range of 0 ≤ θ < 2 π.Therefore, the correct option is (G) π/3 and 2π/3.

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The volume of water in the well is 6 x 4 x 10 = 240 ft3. Since water is running into the well at the rate of 3 ft3 per minute, the water is rising at the rate of 3/240 ft per minute or 1/80 ft per minute.

The volume of water in the well is 6 x 4 x 10 = 240 ft3. Since water is running into the well at the rate of 3 ft3 per minute, the water is rising at the rate of 3/240 ft per minute or 1/80 ft per minute.

To calculate this, we can use the following formula:

Rate of Water Rising = Volume of Water Added Per Minute / Total Volume of Well

Rate of Water Rising = 3 ft3/min / 240 ft3

Rate of Water Rising = 1/80 ft per minute

Therefore, The volume of water in the well is 6 x 4 x 10 = 240 ft3. Since water is running into the well at the rate of 3 ft3 per minute, the water is rising at the rate of 3/240 ft per minute or 1/80 ft per minute.

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Answer:

3600/p

Step-by-step explanation:

i think it's the last option because you cannot add or subtract the partners from the profit.

Answer:

110 = z

Step-by-step explanation:

Since these figures are similar, the angles have to be the same measure

<A =< E

<B = < F

<C = <G

<D = <H

110 = z

Answer:7 and a half

Step-by-step explanation:

Simple enough, if it seven inches and grows half an inch a week than after a week it grows half an inch, so its just 7 + a half, your awnser is 7 and a half

Answer:

A

Step-by-step explanation:

That is the only rate that has the correct format.

Answer:

A. 9 miles/2 hours

Step-by-step explanation:

distance over time

Answer:

A. rent a computer for three weeks

Step-by-step explanation:

hope it helps

Answer:

rent a computer for three weeks

Step-by-step explanation:

yes

Answer:

Every positive number has 2 square roots, one positive and another one is negative. Square root of 49 is ±7, because you can obtain 49 by multiplying two 7's or two (-7)'s.

Step-by-step explanation:

Answer:

49 has 2 possible square roots +7 and -7

Step-by-step explanation:

49 has 2 possible square roots because 7x7=49

And -7 x -7 = 49

A negative times a negative equals a positive, so when you take the square root of 49, it is impossible to tell if 49 was the result of -7 x -7 or +7 x +7. Therefore, the square root of 49 has two possible answers.

Let's represent the area of the lawn with "x" (in square meters).

Maria charged $135 plus $9.55 per square meter, so her total earnings can be expressed as:

Total earnings = $135 + $9.55 x

We know that Maria was paid $1854, so we can set up an equation and solve for x:

$1854 = $135 + $9.55 x

Subtracting $135 from both sides:

$1719 = $9.55 x

Dividing both sides by $9.55:

x = 180

Therefore, the area of the lawn is 180 square meters.

The notation "||v||" typically refers to the Euclidean norm (also known as the magnitude or length) of a vector v in a Euclidean space. The Euclidean norm of a vector v in n-dimensional space is defined as the square root of the sum of the squares of its components:

||v|| = sqrt(v1^2 + v2^2 + ... + vn^2)

Given that ||v|| = 8, we can find the Euclidean norm of -7v as follows:

||-7v|| = 7 * ||-v|| = 7 * sqrt((-v1)^2 + (-v2)^2 + ... + (-vn)^2)

Since -v has the same magnitude as v but points in the opposite direction, we can replace each vi in the above expression with -vi:

||-7v|| = 7 * sqrt((-v1)^2 + (-v2)^2 + ... + (-vn)^2) = 7 * sqrt(v1^2 + v2^2 + ... + vn^2)

But we know that ||v|| = sqrt(v1^2 + v2^2 + ... + vn^2) = 8, so we can substitute:

||-7v|| = 7 * ||v|| = 7 * 8 = 56

Therefore, ||-7v|| is 56.

Answer:

SA=376.9911184cm^2

Step-by-step explanation:

SA=2πrh+2πr^2

376.9911184cm^2=(2*π*5*7)+(2*π*5^2)

True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.

What is a performance comparison?

They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.

                 The measures are employed in productivity improvement projects to monitor changes in productivity over time.

Why is performance measurement important?

Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.

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Given surd \(\frac{7}{\sqrt{7} }\) after rationalization we get it as \(\sqrt{7}\)

The process of rationalization can be thought of as the removal of a radical or an imaginary number from the denominator of an algebraic fraction. In other words, eliminate the radicals from a fraction so that the denominator is solely composed of rational numbers.

Here we use the Rationalization technique

Given surds,

\(\frac{7}{\sqrt{7} }\)

Multiplying Numerator and Denominator \(\sqrt{7}\)

Then,

\(\frac{7}{\sqrt{7} }\) × \(\frac{\sqrt[]{7} }{\sqrt{7} }\)

We get the result as \(\frac{7\sqrt{7} }{7}\) which is equal to √7

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first, to add fractions, we need both with the same denominator. to change it we can multiply or divide the numerator and the denominator of a fraction.

in this case for example we can multiply each part of the fraction 14/3 by 2

and now we can add

and finally, we can simplify dividing 33 and 6 by 3

So the answer is: 11/2

Answer:

m = 19 / 6 = 3.16667

Step-by-step explanation:

The extra stress for the motion described by Newtonian and Stokes equations can be determined based on the given velocity components \(v_{1}=\frac{2x}{1}\), \(\frac{v_{2} }{2}=\frac{3x}{3}\), \(v_{3}=\frac{4x}{2}\).

In fluid mechanics, the extra stress or viscous stress in a fluid is related to the velocity gradients within the fluid. Newtonian and Stokes's equations are two mathematical models used to describe fluid motion. Newtonian fluid follows Newton's law of viscosity, while Stokes flow refers to the flow of very viscous fluids at low Reynolds numbers.

To determine the complete form of the extra stress for the given velocity components, additional information such as the fluid's viscosity, the governing equations, and the specific problem setup would be required. These details are necessary to derive the equations that relate the velocity gradients to the extra stress components. Without this information, a specific form of the extra stress cannot be determined.

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f to the negative 1 means the inverse function of a given function "f"

In mathematics, the notation "f^-1" (or "f to the negative 1 power") is used to indicate the inverse function of a given function "f".

A function "f" maps an input (also called the domain) to an output (also called the range). An inverse function "f^-1" maps the output of the original function back to its corresponding input.

In other words, if f(x) = y, then f^-1(y) = x.

For example, consider the function f(x) = 2x. The inverse function of f is f^-1(x) = x/2. The original function maps the input x to the output 2x, and the inverse function maps the output back to the input x/2.

Note that for a function to have an inverse function, it must be a one-to-one function. which means that for every unique output, there must be a unique input.

In summary, the notation "f^-1" represents the inverse function of a given function "f", which maps the output of the original function back to its corresponding input.

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Answer:

The greatest common factor is 4

Step-by-step explanation:

1)     12x3+4x2-8x

2)    (12x3)+(4x2)-8x

3)     36+(4x2)-8x

4)     36+8-8x

5)     44-8x

6)     4(11-2x)

The mean pulse rate after exercise is higher than the mean pulse rate before exercise, indicating an increase in pulse rate after running in place for one minute. The standard deviation of the pulse rates after exercise is higher.

The statement that best compares the means of the pulse rates before and after exercise is: The mean pulse rate after running in place for one minute (124.3 bpm) is higher than the mean pulse rate before exercise (74.09 bpm). The statement that best compares the standard deviations of the pulse rates before and after exercise is: The standard deviation of the pulse rates after running in place for one minute (27.93 bpm) is higher than the standard deviation of the pulse rates before exercise (20.56 bpm). The standard deviation of the pulse rates after exercise is higher than the standard deviation of the pulse rates before exercise, indicating a greater variability or dispersion in pulse rates after running in place for one minute.

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A football team gained 6 yards on a play, on the next play they lost 9 yards. -9 is the net yardage for the team

In two subsequent plays, the team lost yardage. The term "lost" usually implies a negative number. To find the total yards lost we must add the losses: (-3)+(-6)=? Remember that adding a negative is the same thing as subtracting that number:

                                         (-3)+(-6)

                                         (-3)-(6)    

                                         = -9.          

*Remember that when you add two negative numbers together, you simply add the numbers and then put a negative sign in front of them.

Therefore, the total change in yardage in the two plays combined is -9 yards.

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The equation for the base is that of a circle, so the cross sections will have a leg of length equal to the vertical distance between its halves.

x² + y² = 16   ⇒   y = ±√(16 - x²)

⇒   length = √(16 - x²) - (-√(16 - x²)) = 2 √(16 - x²)

Cross sections with thickness ∆x have a volume of

1/2 length² ∆x = 1/2 (2 √(16 - x²))² ∆x = (32 - 2x²) ∆x

since they are isosceles triangles and so their bases and heights are equal.

Then the total volume would be (D)

\(\displaystyle \int_{-4}^4 \frac12 \left(2 \sqrt{16-x^2}\right)^2 \, dx\)

The volume of an ice cube produced by this machine is of:

Volume ice cube = 1 inch³

  A volume is the physical space that an object occupies in space, although it is also defined as the capacity of space that a hollow object may have.

If this machine produces ice that has a cube shape with a side of 1 inch, then to know the value of the volume of these cubes we will use the following equation:

Volume cube = side x side x side

Volume cube = side³

side = 1 inch

Volume ice cube = 1 inch³

As the side is 1 the volume and area will be 1 but with corresponding unit

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Answer:

-5.4

Step-by-step explanation:

Answer:

0.0045%

Step-by-step explanation:

0.0045 is not a fraction so it is a decimal already.

Answer:

0.000045

Step-by-step explanation:

good luck!

Approximately 26.49% of scores fall between 52 and 62.

To find the percentage of scores that fall between 52 and 62, we can calculate the z-scores corresponding to these values and then use the standard normal distribution table.

First, let's calculate the z-scores for 52 and 62. The z-score formula is given by:

z = (x - μ) / σ

where:

x is the value,

μ is the mean, and

σ is the standard deviation.

For 52:

z = (52 - 48) / 7 = 4 / 7 ≈ 0.5714

For 62:

z = (62 - 48) / 7 = 14 / 7 = 2

Next, we can look up the corresponding area under the standard normal distribution curve for these z-scores. Using a standard normal distribution table or calculator, we can find the following values:

For z = 0.5714, the area under the curve is approximately 0.7123.

For z = 2, the area under the curve is approximately 0.9772.

To find the percentage of scores between 52 and 62, we subtract the area corresponding to the lower z-score from the area corresponding to the higher z-score:

Percentage = (0.9772 - 0.7123) × 100% ≈ 26.49%

Therefore, approximately 26.49% of scores fall between 52 and 62.

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If we spent $22. 50 on shipping, the cost of domestic shipping is = $3.50

In production, research, retail, and accounting, a cost is the value of money that has been used up to produce something or deliver a service, and hence is not available for use anymore. In business, the cost may be one of acquisition, in which case the amount of money expended to acquire it is counted as cost.

Cost function refers to the functional relationship between cost and output. It studies the behaviour of cost at different levels of output when technology is assumed to be constant. It can be expressed as below: C= f(Q) (Here, C= Cost of production; and Q= Quantum of output).

Let the cost of domestic shipping be x.

Since the cost of international shipping is $2.50 greater than the cost of domestic shipping. This will be:

= x + 2.50

Since we are further told that three of the cards will be shipped domestically, and two will be shipped internationally and that $22.50 will be spent on shipping, this will be express in an equation as:

3x + 2(x + 2.50) = 22.50

3x + 2x + 5.00 = 22.50

5x = 22.50 - 5.00

5x = 17.50

x = 17.50/5

x = $3.50

The cost if domestic shipping is $3.50

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The height of the recycling bin in centimeters is 125 cm.

Since the recycling bin is shaped like a right rectangular prism, the volume of the recycle bin is the volume of a rectangular prism. So, volume of recycle bin, V = lwh where l = length of recycle bin = 60 cm, w = width of recycle bin = 40 cm and h = height of recycle bin.

Since we require the height of the recycle bin, making h subject of the formula, we have

h = V/lw

Since V = 300000 cm³, substituting the values of the variables into the equation, we have

h = V/lw

h = 300000 cm³/(60 cm × 40 cm)

h = 300000 cm³/(2400 cm²)

h = 125 cm

So, the height of the recycling bin in centimeters is 125 cm.

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