Change2^5/9 from a mixed number to an improper fraction.

The answer to this question is:

−|−5⋅(−7)|  = −35

The non-negative quantity of a real number x, regardless of its sign, is its absolute value (or modulus), | x |. For instance, the number 5 has a value of 5 and an absolute value of 5.

So, here first we have to solve the expression written inside the modulus and then the remaining part.

−| −5⋅(−7) |  = −| −5*(−7) |

                   = −| 35 |

The absolute value of  | 35 | is  non-negative value of 35

                        | 35 | = 35

So, −| −5⋅(−7) | =  −| 35 | = −35

Therefore,  −|−5⋅(−7)|  = −35

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In response to the stated question, we may state that The rectangle with vertices A, B, C, and D is the form you just drew.

A rectangle in Euclidean geometry is a parallelogram with four small angles. It can also be defined as a fundamental rule hexagon or one with all angles equal.

A straight angle is another alternative for the parallelogram. Four vertices in a square are the same length. A quadrilateral with a rectangle-shaped cross-section has four 90° angle vertices and equal parallel sides.

€ As a result, it is also known as a "equirectangular rectangle" in some circles. A rectangle is sometimes referred to as a parallelogram, since its two sides have equal and parallel dimensions.

here's how to draw a rectangle with the vertices A(2,-2),B(2,3),C(5,3),D(5,-2):

Begin by sketching the x and y axes on graph paper and noting the origin (0,0).

Plot point A at (2,-2), B at (2,3), C at (5,3), and D at (5,3). (5,-2).

The rectangle with vertices A, B, C, and D is the form you just drew.

Here's an illustration of the rectangle:

     C (5,3)

     *

    /|

   / |

  /  |

 /   |

D (5,-2)|

 |   |

 |   |

 |   |

A (2,-2)|

 *---*---*B (2,3)

Therefore, draw a line segment between points A and B, then another between points B and C, and so on until you get a closed form.

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Answer:

90v - 80

Step-by-step explanation:

-10 ( -9v + 8 )

Distributive property (multiply what is in the parenthesis by -10)

-10 * -9v + -10 * 8

90v - 80

2 negatives become a positive

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:90v-80

Step-by-step explanation:

Answer:

100ft

Step-by-step explanation:

Answer:

g(4x) = 192x^3

Step-by-step explanation:

For this problem, f(x) is irrelevant since we are simply are dealing with g(x).  We will simply replace the value of x in g(x) with 4x.  So let's do that.

g(x) = 3x^3

g(4x) = 3(4x)^3

g(4x) = 3(4^3)(x^3)

g(4x) = 3(64)(x^3)

g(4x) = 192x^3

Hence, g(4x) is 192x^3.

Cheers.

Answer:

76.5

Step-by-step explanation:

if the area is 76.5^2, then all you have to do is take the square root, and it is 76.5

The expression that can be used to calculate the rate per second at which the machine launches the balls is a) Fraction 12 over 2.

To calculate the rate per second at which the machine launches the balls is:

First, we need to know the meaning of rate is: it is the amount of something per unit of time. In this case, we want to find the rate at which the machine launches the balls per second.

The fraction 12 over 2 represents the number of balls launched by the machine in 12 seconds. If we want to find the rate per second, we need to divide this number by the number of seconds.

12/ 2 = 6, so the machine launches 6 balls in 1 second.

Therefore, the rate per second at which the machine launches the balls is 6.

So, the expression that can be used to calculate the rate per second at which the machine launches the balls is Fraction 12 over 2, which simplifies to 6.

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As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.

Hypothesis

In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.

Given,

Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.

And we need to find in which statistical inference procedures should we use.

According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.

So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.

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Answer:

100%

Step-by-step explanation:

87/87 = 100%

9514 1404 393

Answer:

  x² +3x -3 +3x/(5x² +6x +2)

Step-by-step explanation:

As with any long division, you formulate a partial quotient, then subtract the product of that and the divisor from the dividend. The result is a new dividend. You're done when the degree of the dividend is less than the degree of the divisor.

The partial quotient term is simply the ratio of the highest-degree terms in the dividend and the divisor. (That is what makes it easier than numerical long division.)

_____

Web page formatting cut off part of the "Hints" in the first attachment. The second attachment shows the full "Hints."

Answer:

31

Step-by-step explanation:

Look at the picture

Given the function;

we are asked to factor and then graph the function. This can be seen below.

Explanation

To factorize the function f(x) we will use the rational root theorem to factorize the above;

Hence;

When we test the rational roots in the given function, the only suitable ones are;

The factors can be expressed as;

Therefore; the factors become

Hence, the plot of the graph becomes;

5a) While reflecting across the y-axis, only x-coordinate changes its sign

(3,-2) becomes (-3,-2)

5b) While reflecting across the x-axis, only y-coordinate changes its sign

(3,-2) becomes (3,2)

5c)  The points (3,-2), (5,2) and (6,0) become (-2,3),(2,5) and (0,6) while reflecting across the line y=x

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).

5a) While reflecting across the y-axis, only x-coordinate changes its sign

(3,-2) becomes (-3,-2)

5b) While reflecting across the x-axis, only y-coordinate changes its sign

(3,-2) becomes (3,2)

5c) While reflecting across the line y=x, coordinates interchange.

The points (3,-2), (5,2) and (6,0) become (-2,3),(2,5) and (0,6)

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The denominator degrees of freedom of the F statistic for testing the null hypothesis of homoskedasticity is equal to the number of total observations (N) minus the number of groups (k). So, it can be represented as (N - k).

The denominator degrees of freedom of the F statistic for testing the null hypothesis of homoskedasticity depend on the sample size and the number of groups being compared.

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\((0,0) \longrightarrow \sf{part \: \: of \: \: the \: \: graph} \\ (1, - 3)\longrightarrow \sf{given \: \:coordinate \: \: point}\)

\(m = \frac{dy}{dx} = \frac{y_2-y_1}{x_2-x_1}\)

Substitute these coordinate values in.

\(m = \frac{0 - ( - 3)}{0 - 1} \\ m = \frac{3}{ - 1} \\ m = - 3\)

Hence, the slope is -3.

From the graph, the line passes through the origin point. Therefore, the y-intercept is (0,0).

\(y = mx + b \\ \begin{cases} \sf{m = slope} \\ \sf{b = y - intercept} \end{cases}\)

Substitute both m and b in the slope-intercept form.

\(y = - 3x + 0 \\ y = - 3x\)

Hence the answer is y = -3x.

\( \large \boxed{y = - 3x}\)

Answer:

Yes, that would be 0

As simple as 8-8=0

You have a great day/night too :)

The value of the python expression ((10 >= 5*2) and (10 <= 5*2)) is True

An expression in Python is a combination of operators and operands. An example of expression can be : x = x + 1 0 x = x + 10 x=x+10. In this expression, the first 1 0 10 10 is added to the variable x. After the addition is performed, the result is assigned to the variable x.

The code will definitely return a Boolean value(True or False).

For the expression to be True , the two statements must be True. The AND gate returns True if the whole statement is True.

(10 >= 5*2) is True because 10 is equals to 5 × 2 = 10.

(10 <= 5*2) is True because 10 is equals to 5 × 2 = 10.

The two statements are True . Therefore,

True and True = True.

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The given question is incomplete, taking a similar question:

What's the value of this Python expression? ((10 >= 5*2) and (10 <= 5*2))

Answer:

124

Step-by-step explanation:

Cross Multiply

(93x4)/3

The probability that a randomly chosen test-taker will score between 135 and 159 is 0.8185.

The probability that a randomly chosen test-taker will score between 135 and 159 can be found by standardizing the values of X to the corresponding Z-scores and then finding the probabilities from the normal distribution table. Let X be the LSAT test score of a randomly chosen test-taker.

We have;

Z₁ = (X₁ - μ) / σ = (135 - 151) / 8 = -2

Z₂ = (X₂ - μ) / σ = (159 - 151) / 8 = 1

The probability that a randomly chosen test-taker will score between 135 and 159 is the area under the standard normal curve between the corresponding Z-scores.

Z₁ = -2 and Z₂ = 1.

Using the standard normal distribution table, the probability is;

P(-2 ≤ Z ≤ 1) = P(Z ≤ 1) - P(Z ≤ -2)

P(Z ≤ 1) = 0.8413

P(Z ≤ -2) = 0.0228

P(-2 ≤ Z ≤ 1) = 0.8413 - 0.0228 = 0.8185

Therefore, the probability that a randomly chosen test-taker will score between 135 and 159 is 0.8185 (rounded to four decimal places).

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Answer: B

Step-by-step explanation:

Answer:

Because it can make the problem harder

In maths, if there is a question that has a decimal for example like 33.33333333, then that will make the problem harder to perform, that's why, it's not necessary to take the exact answer for some problems. BUT, IF IT SAYS TO TAKE THE EXACT ANSWER, THEN YOU HAVE TO.

Thanks!

Mark me brainliest!

The APR, or stated rate, is calculated as the annualized interest rate expressed as a percentage.

The APR, or stated rate, represents the annualized interest rate on a loan or investment, expressed as a percentage.

To calculate the APR, we need to consider the nominal interest rate and the compounding frequency. The formula to calculate the APR is:

APR = (1 + nominal interest rate/compounding periods)^(compounding periods) - 1

The nominal interest rate is the stated rate without taking compounding into account.

The compounding periods refer to the number of times interest is compounded in a year, typically based on daily, monthly, or quarterly periods.

By applying the formula and considering the appropriate compounding periods, we can determine the APR.

The APR is an important metric as it allows for easy comparison of interest rates across different financial products.

It helps consumers and investors understand the true cost or yield associated with a loan or investment and enables them to make informed decisions.

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Answer:

a)78.73m

Step-by-step explanation:

\(\sin(41) = \frac{bc}{ 120}\)

The indefinite integral: \(\( \int(3-x) e^{6 x-x^{2}} d x \)\) .we get:

\(\[ \int (3-x) e^{6x-x^2} dx = (3-x) \sqrt{\pi} \cdot \text{erf}(x-3) - (x-3) \cdot \sqrt{\pi} \cdot \text{erf}(x-3) - \frac{e^{-(x-3)^2}}{\sqrt{\pi}} + C \]\)

To find the indefinite integral of \(\( \int (3-x) e^{6x-x^2} dx \)\), we can use the technique of integration by parts.

Let's assign \(\( u = 3-x \) and \( dv = e^{6x-x^2} dx \).\)

First, we differentiate \(\( u \) to find \( du \):\( du = -dx \).\)

Next, we integrate \(\( dv \) to find \( v \).\)

To integrate \(\( e^{6x-x^2} \)\), we complete the square in the exponent:

\(\( 6x-x^2 = -(x^2-6x) = -[(x-3)^2 - 9] = -[(x-3)^2 - 3^2] \).\)

Using the substitution \(\( t = x-3 \)\), we have \(\( dx = dt \),\) and the integral becomes:

\(\( \int e^{-(t^2-9)} dt \).\)

Applying a standard integral formula for the Gaussian function, we get:

\(\( v = \int e^{-(t^2-9)} dt = \sqrt{\pi} \cdot \text{erf}(t-3) \), where \( \text{erf}(x) \)\) is the error function.

Now we can apply the integration by parts formula:

\(\( \int u \, dv = uv - \int v \, du \).\)

Plugging in the values we have, we get:

\(\( \int (3-x) e^{6x-x^2} dx = (3-x) \sqrt{\pi} \cdot \text{erf}(x-3) - \int \sqrt{\pi} \cdot \text{erf}(x-3) \, dx \).\)

To evaluate the remaining integral, we can make a substitution \(\( w = x-3 \) and \( dx = dw \).\)

Thus, the integral becomes:

\(\( \int \sqrt{\pi} \cdot \text{erf}(w) \, dw = \sqrt{\pi} \int \text{erf}(w) \, dw \).\)

The indefinite integral of the error function is a well-known integral, and its result is:

\(\( \int \text{erf}(w) \, dw = w \cdot \text{erf}(w) + \frac{e^{-w^2}}{\sqrt{\pi}} + C \).\)

Substituting back \(\( w = x-3 \) and \( C \)\) being the constant of integration, the final result is:

\(\[ \int (3-x) e^{6x-x^2} dx = (3-x) \sqrt{\pi} \cdot \text{erf}(x-3) - \left( (x-3) \cdot \sqrt{\pi} \cdot \text{erf}(x-3) + \frac{e^{-(x-3)^2}}{\sqrt{\pi}} + C \right) + C \]\)

Simplifying further, we get:

\(\[ \int (3-x) e^{6x-x^2} dx = (3-x) \sqrt{\pi} \cdot \text{erf}(x-3) - (x-3) \cdot \sqrt{\pi} \cdot \text{erf}(x-3) - \frac{e^{-(x-3)^2}}{\sqrt{\pi}} + C \]\)

which is the final result of the indefinite integral.

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Step-by-step explanation:

1.7m + 2(m + 1) = 9m + 5

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

7*m+2*(m+1)-(9*m+5)=0

(7m +  2 • (m + 1)) -  (9m + 5)  = 0

-3  = 0

Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

2.4m+2(m+1)=9m+5

m=−1

Pull out like factors :

-3m - 3  =   -3 • (m + 1)

-3 • (m + 1)  = 0

Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    m+1 = 0

Subtract  1  from both sides of the equation :

                     m = -1

The total expense for producing 2 widgets is $18,006.00.

To find the total expense for producing 2 widgets, we need to find the total revenue from selling 2 widgets and then subtract the total expense of producing them.

The total revenue from selling 2 widgets is simply the price per widget times the quantity demanded at that price. Since the price is not specified in the problem, we can use the demand function to find it.

We know that the quantity demanded when 2 widgets are produced is:

q = 2

So we can solve the demand function for p:

q = -112p + 4,500

2 = -112p + 4,500

-112p = -4,498

p ≈ 40.16

Therefore, the price per widget is approximately $40.16.

The total revenue from selling 2 widgets at this price is:

revenue = price × quantity demanded

revenue = $40.16 × 2

revenue = $80.32

Now we need to find the total expense of producing 2 widgets. The problem gives us an expression for the total expense:

E = 3.00q + 18,000

Substituting q = 2, we get:

E = 3.00(2) + 18,000

E = $18,006.00

Therefore, the total expense for producing 2 widgets is $18,006.00.

Finally, we can calculate the profit as the difference between the revenue and the expense:

profit = revenue - expense

profit = $80.32 - $18,006.00

profit ≈ -$17,925.68

Since the profit is negative, Willie's Widgets would not make any profit from producing 2 widgets at this price. They would lose money.

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The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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Answer

Center: (1,-12)

Radius: 5

Work

\(x^{2}\)+\(y^{2}\)-2x+24y+120=0 (Subtract 120 on both sides and rearrange)

\(x^{2}\)-2x+\(y^{2}\)+24y=-120 (Then divide 2 by 2 and square it. Do the same for 24.)

\(x^{2}\)-2x+1+\(y^{2}\)+24y+144=-120+1+144 (You have to add the same numbers on both sides)

\((x-1)^{2} +(y+12)^2=25\) (Simplify)

So you would put (1,-12); r=5

Answer:

x = 18

Step-by-step explanation:

y = x + 8

2x + y = -10

Add 10 to 8, then subtract x from 2x leaving you with one x, and finally subtract y from y leaving you with X = 18