Which is equivalent to V180x11 after it has been simplified completely?



© 3x10653



O 3x® v5x



O 6x10/5x



O 6x55x

Answer:

4

Step-by-step explanation:

Use the distance formula to determine the distance between the two points. Distance=√(x2−x1)2+(y2−y1)2

Substitute the actual values of the points into the distance formula. √((−3)−1)2+((−5)−(−5))2

Simplify:

Subtract 11 from −3-3.

√(−4)2+((−5)−(−5)) power of 2

Raise −4-4 to the power of 22.

√16+((−5)−(−5))2

Multiply −1-1 by −5-5.

√16+(−5+5) power of 2

Add −5-5 and 55.

√16+02

Raising 00 to any positive power yields 00.

√16+0

Add 1616 and 00.

√16

Rewrite 1616 as 424 power of 2.

√4 power of 2

Pull terms out from under the radical, assuming positive real numbers.

4

The form of association that would be found in the variables would be:

As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.

The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.

As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.

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The y-intercept of f(x + 4) + 8 is given as follows:

10.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function for this problem is given as follows:

\(f(x) = \log_2{x}\)

The translated function is then given as follows:

\(g(x) = \log_2{x + 4} + 8\)

The y-intercept of the function is the numeric value at x = 0, hence:

\(g(0) = \log_2{0 + 4} + 8\)

g(0) = 2 + 8 = 10.

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Answer:

i think it might be 17%

Step-by-step explanation:

if you divide 100 by 10 u get 10 then divide 10 by 6 to get 1.6666666667 round that to one decimal place to get 1.7 then times it by 10 to get 17

Answer:

Answer is 1/6 (fraction answer)

Answer: 22

Step-by-step explanation:

Answer:    x=67

Step-by-step explanation:

All of the angles add up to 180 for a triangle

38 + 75 + x = 180               >combine like terms (the numbers)

113 + x = 180                       >subtract 113 from both sides

x=67

Answer:

Step-by-step explanation:

We know that,

\( \sf \: By \: Using \: Angle \: sum \: property \: of \: triangle\)

\( \large \sf \: → x +38° + 75° = 180°\)

\( \large \sf \: → x + 113 = 180°\)

\( \large \sf→ x = 180°- 113°\)

\( \boxed{\large \bf→ x = 67° }\)

A graph of this exponential equation \(y = 2(1 -\frac{3}{4} )^x\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

In this scenario and exercise, we would use an online graphing calculator to plot the above exponential function \(y = 2(1 -\frac{3}{4} )^x\) as shown in the graph attached below.

In conclusion, we can reasonably infer and logically deduce that the graph of this exponential equation represent an exponential decay.

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Answer:

\(20x+240y/y\)

Step-by-step explanation:

1. Subtract the numbers

2. Evaluate the exponents

3. Subtract the numbers, again

4. Have a great day and thx for your inquiry :)

Answer:

1143

Step-by-step explanation:

The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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Complete Question

A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with speed at 115 an angle 50 above the horizontal. Is it a home run?

Answer:

\(t=5.40sec\)

Step-by-step explanation:

From the question we are told that

Height on hit \(H_h=3ft\)

Height of center field fence \(H_f=10ft\)

Distance from home plate \(D=400ft\)

Initial speed \(v_0=115\)

Angle  \(\theta=50\)

Generally the Parametric equation of the trajectory of a projectile are mathematically represented as

\(x=(v_0cos\theta )t\)

\(y=(v_0sin\theta )t-\frac{1}{2} gt^2\)

Therefore

\(x=(v_0cos\theta )t\)

\(x=(115cos50\textdegree )t\)

\(x=74t\)

\(y=(v_0sin\theta )t-\frac{1}{2} gt^2\)

Initial co_ordinates (0,3)

\(y=3+(115sin50\textdegree )t-\frac{1}{2} 32t^2\)

\(y=3+88t-16t^2\)

Generally its a home run when Y>10 and x=400

Time when x=400 is

\(t=\frac{400}{74}\)

\(t=5.40sec\)

The function is continuous in the domain x ≥ 3/4

Here we have a root function:

f(x) = ⁴√(4x - 3)

This is an even degree root function, so we have problems when the argument is negative.

Then the allowed values (where the function is defined, and thus, continuous) are:

4x - 3 ≥ 0

4x ≥ 3

x ≥ 3/4

There the function is continuous.

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If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

The statement that correctly answers the question "A square prism has a base length of 5 m, and a square pyramid of the same height also has a base length of 5 m. Are the volumes the same?" is "No, because only the bases have the same area, not every cross-section at every level parallel to the bases."

Explanation: A square prism is a three-dimensional shape that has two square bases that are parallel to each other, and every side is a rectangle. In contrast, a square pyramid is a three-dimensional figure that has a square base and triangular faces that meet at a point called an apex or vertex. The height of a square pyramid is the distance from the base to the apex.

Therefore, the volume of a square prism can be calculated by multiplying the area of the base by the height, whereas the volume of a square pyramid can be determined by multiplying the area of the base by one-third of the height.

Thus, even though the base length is 5 m in both cases, the cross-sectional areas at every level parallel to the bases in a square pyramid are not the same. This implies that the answer is No, because only the bases have the same area, not every cross-section at every level parallel to the bases.

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Answer:

Inverse of  \(- 5 x - 4 =\) \(\frac{x + 4}{5}\)

Step-by-step explanation:

Let y = -5x-4

Swap y and x

x = -5y -4

Solve for y

x+4 = -5y

\(y=- \frac{x + 4}{5}\)  which is the inverse

Answer:

Bonnie is correct.

Step-by-step explanation:

Input 5 for the amount of shirts for letter X then follow the steps for a multistep equation:

12(5) - 10 = 50

60 - 10 = 50

50 = 50

x = x or 1

So, Susan, as Bonnie said, can buy 5 shirts.

Answer:

A regular polygon has equal length sides with equal angles between each side

Step-by-step explanation:

To be a regular polygon all sides must be and all angles must be

A regular polygon has equal length sides with equal angles between each side

As group size increases, the complexity of the group increases (option A).

What is group size?

Even within the same species, group size can vary greatly, so we frequently need statistical tests to evaluate these measurements between two or more samples as well as statistical measures to quantify group size. Since group sizes typically follow an aggregated (right-skewed) distribution, where most groups are small, few are large, and a very small number are very large, group size measures are infamously challenging to handle statistically.

As group size increases, the complexity of managing and coordinating the group also increases.

The larger the group, the more difficult it is to communicate effectively, to make decisions, and to ensure that everyone is working towards a common goal.

This is why larger organizations often have more complex hierarchies and more formalized communication and decision-making processes.

Therefore, the correct option is A.

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The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.

A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?

To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.

The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.

The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.

That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)

The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.

That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,

the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°

The negative sign indicates that the angle is measured below the horizontal line.

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Answer:

D) 48

Step-by-step explanation:

Let s = Scott

Let j - James

s = 5

s + 43 = j  Substitute 5 for s

5 + 43 = j

48 = j

Lines UW and VT are intersecting chords at point K. According to the intersecting chords theorem,

VK * KT = UK * KW

From the diagram,

VK = x + 4

KT = x - 1

UK = 6

KW = 6

Thus,

(x + 4)(x - 1) = 6 * 6

x^2 - x + 4x - 4 = 36

x^2 + 3x - 4 - 36 = 0

x^2 + 3x - 40 = 0

We would solve the quadratic equation by factorisation. We would two terms such that their sum or difference is 3x and their product is - 40x^2. The terms are 8x and - 5x. Thus, we have

x^2 + 8x - 5x - 40 = 0

x(x + 8) - 5(x + 8) = 0

(x + 8) = 0 and (x - 5) = 0

x = - 8 and x = 5

The value for x can only be positive. Thus,

KT = x - 1 = 5 - 1

KT = 4

The correct option is B

Answer:

Number of 2-point questions on the test as per given condition is equals to 8.

Total number of questions in a test = 28

Total points allotted for test = 100

Questions distribution as per points :

2-point questions, 4-point questions, and 5-point questions

'x' represents the 5-point questions

As per condition given,

Number of 2-point questions = 2x

Number of( 2-point  +  4-point +  5-point ) questions = 28

⇒ 2x + 4-point questions  + x = 28

⇒ 4-point questions  = 28 - 3x

Substitute the value in the given condition of the equation we get,

2(2x)+4(28-3x)+5(x) = 100

4x+112-12x+5x=100

112-3x=100

x=4

It implies that the collection of all ordered pairs (x, y) formed by taking an element from the set x and an element from the set y is a subset of the set containing all possible subsets of the Cartesian product of sets X and Y.

The expression "y^x ⊂ p(X x Y)" represents a subset relationship between two sets.

Let's break it down:

"y^x" represents the set of all possible ordered pairs (x, y) where x is an element of the set x and y is an element of the set y. This set represents the Cartesian product of the sets x and y.

"⊂" denotes a subset relationship. If we have two sets A and B, A ⊂ B means that every element in A is also an element of B. In other words, A is a subset of B.

"p(X x Y)" represents the power set of the Cartesian product of sets X and Y. The power set of a set is the set of all possible subsets of that set.

Therefore, "y^x ⊂ p(X x Y)" means that the set of all possible ordered pairs (x, y) where x is an element of the set x and y is an element of the set y is a subset of the power set of the Cartesian product of sets X and Y.

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9514 1404 393

Answer:

  625

Step-by-step explanation:

The ordered pair is an (x, y) pair. You are given the value of x. Put it in the equation and do the arithmetic.

  y = 5^4 = 625

The ordered pair is (4, 625). The missing value is 625.

_____

Additional comment

The exponentiation function on many calculators is done using a key labeled ...

  \(\boxed{y^x}\)

You can do it the long way by recognizing that 5^4 = 5·5·5·5 or 25·25.

The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).

We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.

From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:

243 = (9/2)(2(11) + (9-1)d)

243 = 9(22 + 8d)

243 = 198 + 72d

45 = 72d

d = 45/72 = 5/8

Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:

tₙ = a + (n-1)d

t₄ = 11 + (4-1)(5/8)

t₄ = 11 + 3(5/8)

t₄ = 11 + 15/8

t₄ = 88/8 + 15/8

t₄ = 103/8

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Answer:

A. { 3, 4, 5, 6, 7, 8, 9, 10}  

B. {4}

Step-by-step explanation:

A. { 3, 4, 5, 6, 7, 8, 9, 10}  

⇒ We didn't include 2 in this because 2 = 2, not greater than 2.

⇒ We also didn't include 11 for the same reason. 11 = 11, not less than 11.

B. First of all, this tells us that x is a natural number, i.e. x ≥ 1

The second thing it tells us is that x = 4. So the answer is {4}

(I may have misunderstood B. If I'm not correct, I'm really sorry. )

Using the given percentages, we can see that 126 students preferred cola.

To find this number, we just need to multiply the correspondent percent by the total number of students.

First, write the percent in decimal form, to do so, divide it by 100%.

20% of the students preferr cola, so we need to write:

20%/100% = 0.2

And the total number of students is 630, so the number that preffered cola is:

0.2*630 = 126

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Answer:

working on a answer one second

Step-by-step explanation: