What value of m would make parallelogram wxyz a square.

Answer:

$16.28

Step-by-step explanation:

44.%

Move the decimal up by two numbers to get a whole number, .44

and multiply .44 by $37

Answer: 40 cm

Step-by-step explanation: 2/5 x 100 =

200/5 = 40

Answer:

Let 3x and 2x are divided into 250.

Step-by-step explanation:

3x + 2x = 250

⇒ 5x = 250

⇒ x =  = 50

∴ 3x = 3 × 50 = 150 and

2x = 2 × 50 = 100

Thus, the required numbers are 150 and 100.

Answer:

2/3

Step-by-step explanation:

that the ratio of that number

\( {6x}^{2} - 24 = 0 \\ = > 6( {x}^{2} - 4) = 0 \\ = > 6 {((x)}^{2} - {(2)}^{2} ) = 0 \\ = > 6(x - 2)(x + 2) = 0 \\ = > 6(x - 2) = 0 \: \: \: or \: \: 6(x + 2) = 0 \\ = > 6x - 12 = 0 \: \: \: or \: \: \: 6x + 12 = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 2\)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

A) x > 7

Step-by-step explanation:

Since it's more than, the inequality would be >

Since it's >, that means it's an open circle

So,

x > 7

The final equation is a polynomial of primes  \(2x^{4} + x^{3} - x + 2\) It can't be factored. Variables are sometimes known as indeterminate in mathematics.

 An essential component of the "language" of mathematics and algebra are polynomials. They are used to express numbers that are the result of mathematical operations in almost every area of mathematics. Other types of mathematical expressions, such as rational expressions, also use polynomials as "building blocks."

given

Is a base form of a polynomial in other words is a polynomial that can't be factored.

so we have

\(A ) x^{3} +3x^{2} - 2x - 6 = ( x +3 ) ( x^{2} - 2 )\\B) x^{3} -2x^{2} +3x - 6 = ( x- 2 ) (x^{2} + 3)\\C)4x^{4} +4x^{3} - 2x - 2 = 2( x +1 )(2x^{2} - 1)\\D) 2x^{4} +x^{3} -x + 2\)

hence, the final equation is a polynomial of primes  \(2x^{4} + x^{3} - x + 2\) It can't be factored.

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Explanation

Step 1

convert the fraction in decimal number

Step 2

Multiply the result by 100

so, the fractions equals 83.33 out of 100

The monic cubic polynomial with integer coefficients is x³ - 3x² + 3x + 2 with the leading coefficient as 1.

In order to find a monic cubic polynomial with integer coefficients, we can use the following method:

Let us assume that the cubic polynomial is of the form:x³ + bx² + cx + d

We need to find the values of b, c, and d such that the polynomial is monic and has integer coefficients.

Since the polynomial is monic, the coefficient of x³ is 1.

Therefore, we can write the polynomial as:x³ + bx² + cx + d = (x - r)(x² + px + q)

Where r is the root of the cubic polynomial, and p and q are constants to be determined.

We know that the sum of the roots of a cubic polynomial is equal to -b/1 = -b.

Therefore, the sum of the roots of our cubic polynomial is equal to:r - p/1 = -bOr,r + p = -b ...(1)

Also, we know that the product of the roots of a cubic polynomial is equal to -d/1 = -d.

Therefore, the product of the roots of our cubic polynomial is equal to r(q - r).

Thus,r(q - r) = -d ...(2)

Solving equations (1) and (2) for r and q, we get:

r = -b/3q = b²/3 - d

Hence, we can write the cubic polynomial as:

x³ + bx² + cx + d = (x + b/3)(x² + (b²/3 - d)x + r(b²/3 - d))

Let us choose d = 2 and r = 1, then we have:b = -3

Substituting these values, we get:x³ - 3x² + 3x + 2 = (x - 1)(x² - 2x - 2)

Therefore, the monic cubic polynomial with integer coefficients is x³ - 3x² + 3x + 2.

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Answer: 16

Step-by-step explanation:

\(x^2-8x+c\)

Let's complete the square.

\(c=(\frac{b}{2})^2\)

\(c=(\frac{-8}{2})^2\)

\(c=(-4)^2\\ c=16\)

The value c that completes the square for x²-8x+c is,

c = 4

We have to give that,

An equation is,

⇒ x² - 8x + c

Now, Complete the quadratic equation to square,

⇒ x² - 8x + c

⇒ x² - 2×2²×x + 4

⇒ x² - 8x + 4

⇒ (x - 2)²

Hence, The value c that completes the square for x²-8x+c is,

c = 4

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The GCF of a set of values (typically two) is the greatest factor that applies to every number.

We must find the GCF of 18 and 24:

List the factors of both values:

Let's identify the common factors between 18 and 24:

Therefore, the GCF is 6.

The greatest length that Liz can make using the strings is 6 cm.

Answer:

45 379 620 ways

Step-by-step explanation:

45 C 7   = 45! / (7! 38!) = 45379620

Answer: \(\Large\boxed{45379620}\)

Step-by-step explanation:

Given information

Total members = 45

Number of membership = 7

Concept

Imagine that the membership is seating where people need to sit:

_____    _____    _____    _____    _____    _____    _____

For every position, there can be only 1 member, and 1 member can only be in one membership position, so there will not be the repetition of members.

Also, since order does not matter in assigning memberships, we use a combination

Given formula

\(\dbinom{n}{r}=\dfrac{n!}{(n-r)!r!}\)

\(n=size~of~the~set\\r=number~of~selected\)

Substitute values into the given formula

\(\dbinom{45}{7}=\dfrac{45!}{(38)!7!}\)

Simplify the fraction by canceling out repeating values

\(\dbinom{45}{7}=\dfrac{45\times44\times43\times42\times41\times40\times39\times38!}{(38)!7!}\)

\(\dbinom{45}{7}=\dfrac{45\times44\times43\times42\times41\times40\times39\times\underline{38!}}{(\underline{38)!}7!}\)

\(\dbinom{45}{7}=\dfrac{45\times44\times43\times42\times41\times40\times39}{7!}\)

\(\Large\boxed{\dbinom{45}{7}=45379620}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

57 liters

Step-by-step explanation:

Answer

1.0/5

0

MrRoyal

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MISSING DETAILS

Yoko's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 57 liters. What are the possible numbers of minutes Yoko could add water?

Answer:

Minutes = 8 minutes

Step-by-step explanation:

Topic: Inequality

Given:

Available Size of water = 17 liters

Increment = 5 liters/minute

Size of water needed = At least 57 liters

Putting the above together, as have

17 + 5m > 57

where m represents total minutes and > represent at least

Solving the Inequality

5m > 57 - 17

5m > 40 ------ Divide through by 5

5m/5 > 40/5

m > 8

So, Yoko will need to add water for at least 8 minutes before she fills her tank to 57 liters.

The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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The required evaluation of a - c when a = 20.9 and c = 12.8 is 33.7. Option A is correct.

Given that,
To evaluate a - c when a = 20.9 and c = -12.8.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The given expression,
= a - c
a = 20.9 and c = -12.8.
= 20.9 - (-12.8)
= 20.9 + 12.8
= 33.7

Thus, the required evaluation of a - c when a = 20.9 and c = 12.8 is 33.7. Option A is correct.

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Answer:

Quarter 3

Step-by-step explanation:

The quarter that would have been the optimal investment period is the third quarter.

Stocks gives its holders ownership right in a company. Stockholders are paid dividends in some periods.

The optimal investment period is the period when the stock price is the lowest. This is the third quarter.

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Answer:

21, 7.5, -6

Step-by-step explanation:

Think of domain as x and range as y

okay so basically sense your range is (-6, 3, 12) and your function is

f(x) = -2/3x + 8

your domain values would be

21

7.5

-6

I suggest using desmos, it's very helpful, hope this helps

Answer:

\(\displaystyle z = 4\, \log_{10} \left(\frac{32}{5}\right)\).

Step-by-step explanation:

Multiply both sides by \((1/5)\) and simplify:

\(\displaystyle \frac{1}{5} \times 5\, (10)^{z/4} = \frac{1}{5} \times 32\).

\(\displaystyle (10)^{z/4} = \frac{32}{5}\).

Take the base-\(10\) logarithm of both sides:

\(\displaystyle \log_{10}\left(10^{z/4}\right) = \log_{10} \left(\frac{32}{5}\right)\).

\(\displaystyle \frac{z}{4} = \log_{10}\left(\frac{32}{5}\right)\).

\(\displaystyle z = \log_{10}\left(\frac{32}{5}\right)\).

According to fraction and ratio, second dog is 3/2 feet long.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

First dog is 5 feet long.

then,

5 feet is equal to 4/5 of the second dog's length.

multiply both sides by 5/4.

5/4 x 5 feet is the second dog's length.

The second dog is 25/4 feet long.

The second dog is 6(1/4) feet long.

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Answer:

The answer is x = \(\frac{-5}{3}\).

Step-by-step explanation:

First, we expand the brackets. Therefore:

\(2x+6 = -4x+(-4)\)

\(2x+6 = -4x -4\)

Then, we separate the like terms:

\(2x+4x = -4-6\)

Then we add the like terms up and solve for x:

\(6x = -10\)

Therefore:

\(x = \frac{-10}{6}\)

which, simplified, is:

\(x = \frac{-5}{3}\).

Answer:

5

Step-by-step explanation:

You are looking for x so what you are really looking for is what times 4 =20 and that is 5.

5x4=20

Answer:

Divide each term in 4x = 20 by 4 and simplify.

X=5

Answer:

r = .5 units  

Step-by-step explanation:

8.7 R is an improper  FRACTION of the 2 pi R of the entire circle ....set up a ratio:

8.7 / (2 pi)  =  3.9 / x       where x is the entire circumference measurement

x = 3.9 / (8.7 / (2 pi) )   = 2.82 units    

To find the radius    circumf = 2 pi r

                                     2.82 = 2 pi r      shows r = .5 units

(b) 734.0 ft-lbs of work is done.

To find the work done by the force, we need to use the formula:

Work = force x distance x cos(θ)

where:

force = 56 pounds (the given constant force)

distance = 16 feet (the distance the door is being pulled)

θ = 35 degrees (the angle between the force and the displacement of the door)

We need to convert the angle to radians to use it in the formula:

theta = 35 degrees x (pi/180) = 0.6109 radians

Now we can substitute the values into the formula:

Work = 56 pounds x 16 feet x cos(0.6109 radians)

Work = 734.0 ft-lbs (rounded to one decimal place)

Therefore, the answer is (b) 734.0 ft-lbs.

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Answer:

x=15, y=12, z=20

Step-by-step explanation:

y is the geometric mean of the two segments it divides.

9 · 16 = y^2

y=12

Use the pythagorean theorem to find x and z.

16^2 + 12^2 = z^2

z^2 = 400

z=20

9^2 + 12^2 = x^2

x^2 = 225

x=15

Answer:

Answer:1.) I chose coin A and B

2.) Coin: B Value: $40 Annual rate: %5

Coin: A Value: $25 Annual rate: %7

3.) Coin: A P: 25 R: 1.07 Function: v = 25(1.07)^t

Coin: B P: 40 R: 1.05 Function: v = 40(1.05)^t

4.) Base: 1+r Initial: P Exponent: t

If R increased, then P would also increase because you must distribute, and you would be distributing R into P there for if R changes then so would P.

5.) Coin A: Initial value: $25 10 years: $25.70 20 Years: $26.40 30 years: $27.10 60 years: $29.20

Coin B: Initial value: $40 10 years: $40.50 20 years: $41 30 years: $41.50 60 years: $43

Coin C: Initial value: $60 10 years: $60.40 20 years: $60.80 30 years: $61.50 60 years: $62.40

6.) Coin A because the value goes up the most and I probably wouldn't be able to keep the coin for more than 60 years because I would lose it.

The proportion of the class with a midterm grade less than 75 is approximately 0.3085, or 30.85%. This means that 30.85% of the class is expected to have a midterm grade lower than 75.

We can use the cumulative distribution function (CDF) of the normal distribution to find the proportion of the class with a midterm grade less than 75.

The CDF of a normal distribution with mean μ and standard deviation σ evaluated at a point x is given by the formula:

CDF(x) = 0.5 * [1 + erf((x - μ) / (σ * √2))]

where erf is the error function.

For this problem, μ = 78 and σ = 6, and x = 75, so the CDF can be calculated as follows:

CDF(75) = 0.5 * [1 + erf((75 - 78) / (6 * √2))]

= 0.5 * [1 + erf(-0.3536)]

The value of erf(-0.3536) can be looked up in a table or calculated using a software package. The result is approximately -0.383.

CDF(75) = 0.5 * [1 + -0.383] = 0.5 * [0.617] = 0.3085

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Answer:

you would use tangent

AC = 6.5

Step-by-step explanation:

tan = \(\frac{opposite}{adjacent}\)

⇒ tan 30 = \(\frac{x}{11.2}\)

tan of 30 is 0.577

⇒ 0.577 =  \(\frac{x}{11.2}\)

multiply both sides by 11.2

⇒ 0.577 x 11.2 = \(\frac{x}{11.2}\) x 11.2

⇒ 6.4624

round to the nearest tenth:

⇒6.4624 = 6.5

The option that is NOT an augmented functional dependency is: Q --> P, because it removes the attribute from the left-hand side of the existing functional dependency, which is not allowed in an augmented dependency.

Functional dependency: It is a concept in database management systems that describes the relationship between two attributes or sets of attributes in a table. In a functional dependency A → B, A is the determinant or the attribute(s) that uniquely determines the value of B.

Augmented functional dependency : It is formed by adding one or more attributes to the determinant side of an existing functional dependency.

From the given options, the only one that is not an augmented functional dependency is "Q → P". This is because it does not involve adding any attributes to the determinant side of an existing functional dependency.

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Since the divergent series ∑k=1 1/(2k+4) is always smaller than or equal to ∑k=1 ln(2k+1)/(2k+4), and the former does not converge, we can conclude that the given series ∑k=1 ln(2k+1)/(2k+4) also does not converge.

To determine the convergence of the series ∑k=1 ln(2k+1)/(2k+4), we can use the Comparison Test. Let's compare it to the series ∑k=1 1/(2k+4).Consider the series ∑k=1 1/(2k+4). The terms of this series are positive, and as k approaches infinity, the term 1/(2k+4) converges to zero. This series, however, is a divergent harmonic series since the general term does not approach zero fast enough.

Now, comparing the given series ∑k=1 ln(2k+1)/(2k+4) with the divergent series ∑k=1 1/(2k+4), we can see that the term ln(2k+1)/(2k+4) is always greater than or equal to 1/(2k+4) for all values of k. This is because the natural logarithm function is increasing.Since the divergent series ∑k=1 1/(2k+4) is always smaller than or equal to ∑k=1 ln(2k+1)/(2k+4), and the former does not converge, we can conclude that the given series ∑k=1 ln(2k+1)/(2k+4) also does not converge.

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