Quadrilateral DEFG is a rectangle.

If F D=3 x-7 and E G=x+5 , find E G .

Answer:

are you joking mate? lol

Step-by-step explanation:

4458

Answer:

4458

Step-by-step explanation:

good luck  

Answer:

green square

Step-by-step explanation:

have u ever heard of slope face

Answer:

Liam earns $9.375 per hour

Step-by-step explanation:

The given information is

We need to find his hourly wages when his benefits package is included

Assume that he earns 100% per hour

∵ He earns 100% per hour

∵ His benefits package is 25% of his hourly wages

→ Add 25% to 100% to find his total hourly wages

∴ He will earn = 100% + 25% = 125% of his hourly wage

→ Find the value of 125% of his hourly earn

∵ 125% of 7.50 = \(\frac{125}{100}\) × 7.50 = 9.375

∴ His hourly earns = $9.375

Liam earns $9.375 per hour

The probability that at most a fifth of the buyers would prefer green is approximately 0.0198

This problem can be solved by using the binomial distribution. Let X be the number of buyers out of 15 who prefer green. Then X follows a binomial distribution with parameters n = 15 and p = 0.6.

We want to find the probability that at most a fifth of the buyers would prefer green. This means we want to find P(X ≤ 3), since a fifth of 15 is 3.

Using the binomial probability formula, we have

P(X ≤ 3) = Σ P(X = k) for k = 0 to 3

= P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= (15 choose 0) (0.6)⁰ (0.4)¹⁵ + (15 choose 1) (0.6)¹(0.4)¹⁴ + (15 choose 2) (0.6)² (0.4)¹³ + (15 choose 3) (0.6)³ (0.4)¹²

= 0.0000265 + 0.000397 + 0.00312 + 0.0163

Add the number

= 0.0198

Learn more about probability here

brainly.com/question/11234923

#SPJ4

To compute the 99% confidence interval for the population mean, you need to determine the appropriate sample size to ensure that the sample mean does not deviate from the population mean by more than 1.3. The key terms involved in this process are the confidence interval, sample size, population mean, and sample mean.

The confidence interval represents the range within which the population parameter (in this case, the population mean) is likely to fall, given a certain level of confidence. A 99% confidence interval means that you are 99% confident that the true population mean falls within the specified range.

To calculate the required sample size, you will need to use the formula for the margin of error (E), which is E = (Zα/2 * σ) / √n, where Zα/2 is the critical value associated with the desired level of confidence (99%), σ is the population standard deviation, and n is the sample size.

Since you want the sample mean to not deviate from the population mean by more than 1.3, you will need to set E = 1.3 and solve for n. After finding the critical value for a 99% confidence interval (which is approximately 2.576) and assuming you know the population standard deviation, you can plug these values into the formula and solve for n.

By doing this, you will be able to determine the appropriate sample size to ensure that the 99% confidence interval for the population mean is within 1.3 units of the sample mean.

To learn more about confidence interval click here

brainly.com/question/22851322

#SPJ11

They describe a model of an atom with two protons, two neutrons, electron density (orbitals), and two electrons. Now suppose we want to know what the labels A and B stand for.

The nucleus is at the center where the protons and neutrons are arranged. This is supported by his three models: the Rutherford model, the Bohr model and the (now accepted) quantum model.

So the red sphere and the two overlapping spheres in the middle represent protons and neutrons.

The line labeled A with the sphere in brackets represents the nucleus, as it signals both protons and neutrons within the nucleus.

The green blurry circular clouds represent the regions where electrons reside. This is blurry according to the quantum model, which states that the electrons are not in a fixed position, but in the region around the atom. This area is called the trajectory. According to the model, the electron's exact position cannot be determined, which means a blurry cloud.

This white line, which in Bohr's model should be circular where the electrons are, represents the electron orbits and shells identified by the letters L, M, N, and K. The first shell was the L shell.

In the quantum model, this line corresponds to the principal quantum number n (principal energy level). Therefore, the lines leading to brackets overlapping the white lines indicate the main energy levels.

Atoms are neutral because they contain as many electrons as protons around the nucleus.

Learn more about Line:

https://brainly.com/question/2696693

#SPJ4

Answer:

A: nucleus

B:  electron cloud

Step-by-step explanation:

You would need to deposit approximately $942.40 per month into your retirement account to accumulate $300,000 in 20 years with a 10% annual interest rate.

An annuity is a financial product or investment vehicle that involves a series of regular payments or contributions made over a specified period of time. It is often used as a means of saving for retirement or receiving a steady income stream.

To calculate the monthly deposit needed for retirement, we can use the future value of an annuity formula. The formula is as follows:

\(PMT = (FV * r) / ((1 + r)^n - 1)\)

Where:

PMT = Monthly deposit

FV = Future value (desired retirement savings)

r = Monthly interest rate (annual interest rate divided by 12)

n = Number of months (number of years multiplied by 12)

In this case, the future value (FV) is $300,000, the annual interest rate is 10%, and the number of years (n) is 20.

Let's calculate the monthly deposit:

r = 10% / 12 = 0.00833 (monthly interest rate)

n = 20 years × 12 months/year = 240 (number of months)

\(PMT = (300,000 * 0.00833) / ((1 + 0.00833)^{240} - 1)\)

PMT ≈ 942.40

Therefore, you would need to deposit approximately $942.40 per month into your retirement account to accumulate $300,000 in 20 years with a 10% annual interest rate.

To know more about Annuity visit;

https://brainly.com/question/14908942

#SPJ4

Answer:

20 boys

Step-by-step explanation:

hejskdndvejaoznlgxlhxlydlyzlyzlyzoysypsysooys

Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

Answer:

Step-by-step explanation:

Answer: x - 4y = 24

                 x + y = 4

Hope that helps

The system of equations is represented by these two tables is-

y = -x + 4

x - 4y = 24

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given are two tables as shown in the figure attached.

For table [1], we have -

m = (6 - 4)/(- 2 - 0)

m = 2/-2

m = -1

Equation -

y = -x + 4

For table [2], we have -

m = (-8 + 7)/(-8 + 4)

m = -1/-4

m = 1/4

Equation -

y = x/4 - 6

y = (x - 24)/4

4y = x - 24

x - 4y = 24

Therefore, the system of equations is represented by these two tables is-

y = -x + 4

x - 4y = 24

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ5

The Solution:

Given:

Required:

Find the value of the given expression.

The value is:

Answer:

[option 4]

Answer:

-2

Step-by-step explanation:

I hope it helped you

bye

Answer:

-2

Step-by-step explanation:

Answer:

x = -27, v = 8, n = -20.

Step-by-step explanation:

-45 - x = -18

+45         +45

-x  =  27

/-1       /-1

x = -27

v - 55 = -43

+ 55       +55

v  = 12

-2 = n/10

*10    *10

-20 = n

Answer:

x = -27

v = 12

n = -20

Step-by-step explanation:

1) -45 - x = - 18

- Add 45 to both sides

-45 - x + 45 = -18 + 45

Group like terms:

-x + -45 + 45 = -18 + 45

Simplify the arithmetic:

-x = -18 + 45

Simplify the arithmetic:

-x = 27

- Isolate the X

Multiply both sides by-1

-x · -1 = 27 · -1

Remove the one(s):

x= 27 · -1

Simplify the arithmetic:

x= -27

2) v - 55 = -43

1. Group all constants on the right side of the equation

v - 55 = -43

Add 55  to both sides:

v - 55 + 55 = -43 + 55

Simplify the arithmetic:

v = -43 + 55

Simplify the arithmetic:

v = 12

3)  -2 = n/10

1. Swap sides

-2 = n/10

Swap sides

n/10 = -2

2. Isolate the n

n/10 = -2

Multiply to both sides by 10:

n/10 * 10 = -2 * 10

Group like terms:

1/10 * 10n = -2 * 10

Simplify the fraction:

n = -2 * 10

Simplify the arithmetic:

n = -20  

Answer: I believe he could wear 768 outfits

Step-by-step explanation: I had a similar question consisting of the same numbers.

Answer: The value of (1 + sin 8)(1-sin 8) (1 + cos 0) (1 - cos8) =0.2086

and \(cot^{1}\)θ=7/8

Step-by-step explanation:

Let base and height of a triangle be 7k and 8k

By applying Pythagoras theorem in Δ ABC, we get

\(AC^{2} = AB^{2} +BC^{2}\)

= (7k)2 + (8k)2

= 49k2 + 64k2

= 113k2

AC = √113k2

= √113k

so hypotenuse =\(\sqrt{133}k\);

now ;

=(1 + sin θ) (1 - sin θ)(1 + cos θ) (1 - cos θ)[since : (a + b)(a - b) = (a2 - b2)]

=(1 - \(sin^{2}\)θ)(1 - \(cos^{2}\)θ)

=[1 - (8/√113)2] [1 - (7/√113)2]

= (1 - 64/113) (1 - 49/113)

= (49/113) (64/113)

= 0.2086

hence;

The value of (1 + sin 8)(1-sin 8) (1 + cos 0) (1 - cos8) =0.2086

and \(cot^{1}\)θ=7/8

Learn more about trignometry here https://brainly.com/question/28493506

#SPJ9

Answer:

Step-by-step explanation:We will use the basic concepts of trigonometric ratios to solve the problem.

Consider ΔABC as shown below where angle B is a right angle.

If cot θ = 7/8, evaluate: (i) (1 + sin θ)(1 - sin θ) / (1 + cos θ)(1- cos θ), (ii) cot²θ

cot θ = side adjacent to θ / side opposite to θ = AB/BC = 7/8

Let AB = 7k and BC = 8k, where k is a positive integer.

By applying Pythagoras theorem in Δ ABC, we get

AC2 = AB2 + BC2

= (7k)2 + (8k)2

= 49k2 + 64k2

= 113k2

AC = √113k2

= √113k

Therefore, sin θ = side opposite to θ / hypotenuse = BC/AC = 8k/√113k = 8/√113

cos θ = side adjacent to θ / hypotenuse = AB/AC = 7k/√113k = 7/√113

(i) (1 + sin θ) (1 - sin θ) / (1 + cos θ) (1 - cos θ) = 1 - sin2θ / 1 - cos2θ  [Since, (a + b)(a - b) = (a2 - b2)]

= [1 - (8/√113)2] / [1 - (7/√113)2]

= (1 - 64/113) / (1 - 49/113)

= (49/113) / (64/113)

(ii) cotФ≈

= 49/64

Answer:

the two triangles are the same shape but not the same size

Step-by-step explanation:

an equilateral triangle has all equal sides. if one triangle has a side length of 4 inches, it'll be smaller than the triangle with the side length of 5 inches but just because they're different sizes doesn't mean they're a different shape. (i don't know if this is right but I'm pretty sure it is)

Answer:

two triangles are the same shape but not the same size.

Step-by-step explanation:

They are both equilateral triangles meaning all sides are the same. If they are saying one side is 4 then so is the rest of the triangle and if they are saying the other triangle is 5 then so it the rest of the sides. This means that they are not the same size but they are the same shape.

Hope this helped

The function e^iz = cos(z) isin(z) can be shown by power series expansions

To show that e^(iz) = cos(z) + isin(z), we can use the power series expansions for the functions e^x, cos(x), and sin(x).

The power series expansion for e^x is given by:

e^x = 1 + x + (x^2/2!) + (x^3/3!) + ...

We can substitute ix for x in this power series:

e^(ix) = 1 + ix + (ix^2/2!) + (ix^3/3!) + ...

Simplifying, we have:

e^(ix) = (1 - x^2/2! + x^4/4! - x^6/6! + ...) + i(x - x^3/3! + x^5/5! - x^7/7! + ...)

This can be split into two series, one for the real part (cos(x)) and one for the imaginary part (sin(x)):

e^(ix) = cos(x) + isin(x)

Therefore, we have shown that e^(iz) = cos(z) + isin(z) using power series expansions.

Learn more about power series expansion at https://brainly.com/question/16774911

#SPJ11

The expression 126 \(m^4\) - 63\(m^3\) is equivalent to the given expression                  7m² * (2m -1 )*(m9).

The properties of multiplication are:

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

Here, you should apply the distributive property and power rules for solving this expression and finding an equivalent expression.

First, you should multiply the factors (2m -1)*(9m). As result, you find 18m²-9m.

After that, you should do the product between the previous result (18m²-9m) and the factor 7m². Thus,

(18m²-9m) * 7m²= 126 \(m^4\) - 63\(m^3\).

Read more about the distributive property  here:

brainly.com/question/4077386

#SPJ1

Answer:

13, 3, 7. you are using a square root any calculator can do this :)

Answer:

10) is 13

Step-by-step explanation:

11) is 3

12) is 3.464

Answer:

2.25

Step-by-step explanation:

1/4 (one quarter) is equal to .25 or 25% of 100

2+.25=2.25

Answer:

Step-by-step explanation:

As triangles are similar

The ratio of the sides must be equal

so..

\(\frac{x}{8} =\frac{9}{5}\)

\(x=\frac{9*8}{5}\)

\(x=14.4\)

hope it helps...

have a great day!!

Answer:

x+ 1/3 is the average

Step-by-step explanation:

To find the mean, add the terms together and then divide by the number of terms.  There are 3 terms

(4x + 5+ 7x-6 + -8x+2)/3

Combine like terms

( 3x+1)/3

x+ 1/3 is the average

The eigenvalues of matrix A have a magnitude less than 1 if and only if there exists a positive definite solution M to the equation \(-M = A^T M A\).

To show this, let \(\lambda\)  be an eigenvalue of A with corresponding eigenvector v. Then we have A v = \(\lambda\)  v. Taking the transpose of this equation gives\(v^T A^T = \lambda v^T\). Multiplying both sides by v and substituting \(A^T M A\)for −M, we get \(v^T A^T M A v = \lambda v^T M v\).

Since M is positive definite, \(v^T M v > 0\) for any non-zero vector v. Therefore, \(\lambda\) must satisfy the inequality \(\lambda v^T M v\) < 0. This inequality holds if and only if \(|\lambda|\) < 1. Thus, the eigenvalues of A have magnitude less than 1 if and only if there exists a positive definite solution M to the equation \(-M = A^T M A.\)

This result is useful in analyzing stability and convergence properties of dynamical systems represented by matrix A. If the eigenvalues of A have magnitudes less than 1, the system is stable and converges to a steady state. The positive definite solution M provides a Lyapunov function that guarantees the stability of the system.

Learn more about eigenvalues here:

https://brainly.com/question/33182462

#SPJ4

1/2 pounds = 56 ounces (since 1 pound = 16 ounces)

Now we can add the weight of both packages in ounces:

56 ounces + 20 ounces = 76 ounces

Therefore, the total weight of both packages is 76 ounces.

The total weight of both packages is, 76 ounces.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Jazmin is mailing two packages. One package weighs 3 1/2 pounds, and the other package weighs 20 ounces.

Since, We know that;

⇒ 1 pound = 16 ounces

Hence, We get;

3 1/2 pounds = 7/2 x 16 pounds

                    = 56 ounces

Now, we can add the weight of both packages in ounces:

56 ounces + 20 ounces = 76 ounces

Therefore, the total weight of both packages is 76 ounces.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2

An example of a rational expression is 2x+3/x-2.

The complete question wasn't found. Therefore, a overview will be given. It should be noted that a rational expression simply means quotient of two polynomials.

A rational expression is a fraction whose numerator and denominator are polynomials.

In this case, an example of a rational expression is 2x+3/x-2

Learn more about rational expression on:

brainly.com/question/2264785

#SPJ1

Answer: Approximately 6.3876 years

When rounding to the nearest whole number, this rounds up to 7 years.

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

Work Shown:

We'll use the compound interest formula

A = P*(1+r/n)^(n*t)

where,

In this case, we know that,

So,

A = P*(1+r/n)^(n*t)

2P = P*(1+r/n)^(n*t)

2 = (1+r/n)^(n*t)

2 = (1+0.11/4)^(4*t)

2 = 1.0275^(4t)

Ln(2) = Ln(1.0275^(4t))

Ln(2) = 4t*Ln(1.0275)

4t*Ln(1.0275) = Ln(2)

t = Ln(2)/(4*Ln(1.0275))

t = 6.38758965414661

It takes roughly 6.3876 years for the deposit to double. If you need this to the nearest whole number, then round up to 7. We don't round to 6 because then we would come up short of the goal of doubling the deposit.

Answer:

Step-by-step explanation:

Let's simplify it step-by-step.

−9(8n+4p)−7p−2(−10p−9n)

Distribute:

=(−9)(8n)+(−9)(4p)+−7p+(−2)(−10p)+(−2)(−9n)

=−72n+−36p+−7p+20p+18n

Combine Like Terms:

=−72n+−36p+−7p+20p+18n

=(−72n+18n)+(−36p+−7p+20p)

=−54n+−23p

Answer:

3628800 ways if the women are always required to stand together.

To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.

First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).

Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.

Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.

Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.

There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.

To know more about arrangement visit

https://brainly.com/question/1427391

#SPJ11