(PLS HELP I NEED THIS ITS DUE IN 30 MIN) The perimeter of the quadrilateral is 120 feet and BA = x + 30, BC = 2x + 10, and CD = x + 20. Determine the length of the sum of the smallest side and the largest side.

The value for the expression, 5/8 - 3/5 in the simplest form is obtained as 1/40.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The expression is given as 5/8 - 3/5.

To subtract fractions, we need to have a common denominator.

The common denominator for 8 and 5 is 40.

So we rewrite the fractions with denominators of 40 -

5/8 = 25/40

3/5 = 24/40

Now we can subtract them -

25/40 - 24/40 = 1/40

Therefore, 5/8 - 3/5 in simplest form is 1/40.

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Answer:

Elena could tell without finishing by simplifying both sides. The next step would have been 30x +24x = 30x+24. This would have been simplified down to x=1

Step-by-step explanation:

She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given as,

12x +6(4x + 3) = 6(6x + 4) - 6

Simplify the equation, then we have

12x +6(4x + 3) = 6(6x + 4) - 6

12x + 24x + 18 = 36x + 24 - 6

36x + 18 = 36x + 18

She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.

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Answer:

2p+3q

Step-by-step explanation:

3p+7q-p-4q

2p+3q

hope it is helpful

Answer:

20160 ways

Step-by-step explanation:

\(8 \times 7 \times 6 \times 5 \times 4 \times 3 \\ 20160\)

1. If AB = AC, then B = C: False. If AB = AC, we cannot conclude that B = C. This is because, in matrix multiplication, the order of the factors matters. Even though A may be invertible, multiplying both sides of AB = AC by A^(-1) does not necessarily give us B = C.

To see this, consider the case where A is a non-square matrix. Let's say A is an invertible 2x3 matrix, B is a 3x1 matrix, and C is a 2x1 matrix. It is possible that AB = AC, but B and C will not be equal since they have different dimensions.

2. If BA = CA, then B = C: True. If BA = CA and A is invertible, we can multiply both sides by A^(-1) on the left to get A^(-1)BA = A^(-1)CA. Since A^(-1)A = I (the identity matrix), we have B = C.

3. (tA)^(-1) = tA^(-1): True. The inverse of tA is given by (tA)^(-1) = (1/t)A^(-1). Thus, we have (tA)^(-1) = tA^(-1) since (1/t) can be factored out of the inverse.

4. (AB)^(-1) = B^(-1)A^(-1): True. The inverse of a product of matrices is the product of their inverses in the reverse order. Therefore, (AB)^(-1) = B^(-1)A^(-1).

5. (AB)^T = B^T A^T: True. The transpose of a product of matrices is equal to the product of their transposes in the reverse order. Hence, (AB)^T = B^T A^T.

6. (A^T)^(-1) = (A^(-1))^T: True. The inverse of the transpose of a matrix is equal to the transpose of its inverse. Thus, (A^T)^(-1) = (A^(-1))^T.

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Answer:

The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number). On a calculator, you usually enter a number in standard form as follows: Type in the first number (the one between 1 and 10).

Step-by-step explanation:

Answer:

My friend's mower will take approximately 0.75 h to mow the lawn alone.

Step-by-step explanation:

To solve this problem we can use the idea of average speed and apply to this problem, using the appropriate formula shown below:

\(speed = \frac{distance}{time}\)

Where each lawn mower has a speed at which they can mown, the distance is the lawn they're mowing and the time is how long they will take to do it. In the case where my equipment is working alone, its speed "x" can be modeled as below:

\(x = \frac{lawn}{1.5}\)

When my friend's mower does the job, its speed "y" can be seen as:

\(y = \frac{lawn}{time}\)

When both work together the speed can be seen as:

\(x + y = \frac{lawn}{0.5}\)

Applying the first two equations on the second, gives us:

\(\frac{lawn}{1.5} + \frac{lawn}{time} = \frac{lawn}{0.5}\\\frac{1}{time} = \frac{1}{0.5} - \frac{1}{1.5}\\\frac{1}{time} = 2 - 0.667\\\frac{1}{time} = 1.333\\1.333*time = 1\\time = \frac{1}{1.333} = 0.75\)

My friend's mower will take approximately 0.75 h to mow the lawn alone.

9514 1404 393

Answer:

  A.  One

Step-by-step explanation:

Descarte's rule of signs is used to answer this question. The signs of the coefficients are ...

  + + + -

There is one sign change, hence one positive real root.

a)  P(X₁ = 3; X₂ = 4; X₃ = 2, and X₄ = 6), Probability = 0.0170 and b) P(X₁ = 3), Probability = C₃(0.2) (0.8) = 0.2501

Guests ordering a certain type of particular computer, 20 order an upgraded plates card, 30 order redundant memory, 15 order both the upgraded plates card and redundant memory, and 35 order neither. Fifteen orders are named at arbitrary. Let X₁, X₂, X₃, X₄ denote the separate figures of orders in the four given orders:

a) P(X₁ = 3; X₂ = 4; X₃ = 2, and X₄ = 6),

Probability = 0.0170

b) P(X₁ = 3)

Probability = C₃(0.2) (0.8)

= 0.2501

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Answer:

Let us solve this

We’ll do it by the elementary method

Suppose the original fraction be x/y

Given, x : y = 2:3 ……(i)

then y = 3/2x

Now , by condition,

(x-6)/y = 2/3 * x/y

=> (x-6)/y = 4/9 [ from (i) ]

=> x-6 = 4/9y = (4/9)(3/2)x = 2/3x

=> 3x-18 = 2x [cross multiplication]

=> x = 18

Your Answer: the numerator of the original fraction is = 18

Stay Safe

Have a nice day

Answer:

y - 6 = -1 (x+5)

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula \(m = \frac{y_2-y_1}{x_2-x_1} \\\). Substitute the x and y values of (-5,6) and (0,1) into the formula and simplify like so:

\(m = \frac{(1)-(6)}{(0)-(-5)} \\m = \frac{1-6}{0+5} \\m = \frac{-5}{5} \\m = -1\)  

So, the slope of the line is -1.

2) Now we have enough information to write the equation of the line in point-slope form. Use the point-slope formula \(y-y_1 = m (x-x_1)\) and substitute real values for the \(m\), \(x_1\), and \(y_1\).

Since \(m\) represents the slope of the line, substitute -1 in its place. Since \(x_1\) and \(y_1\) represent the x and y values of a point the line intersects, substitute the x and y values of (-5, 6) in those places as well. This gives the following equation and answer:

\(y-6 = -1(x+5)\)

0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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Answer: 96.12

Step-by-step explanation:

The amount that Bill will need to save will be for the cost of the headphones and the sales tax that will be applied. This will be:

= 89 + (8% × 89)

= 89 + (0.08 × 89)

= 89 + 7.12

= 96.12

Therefore, Bill will need to save 96.12.

Answer:

a) \(2\frac{3}{8}\)

b) \(28\frac{1}{2}\)

Step-by-step explanation:

\(1\frac{3}{8} +1=2\frac{3}{8}\)

\(2\frac{3}{8}\) × 12 = \(28\frac{1}{2}\)

Answer: look it up frfr

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

Answer:

7/0

Step-by-step explanation:

Answer:

4) 10

Step-by-step explanation:

The number with x is slope and the other number is y-intercept so it's 10

Answer:

Hi,

Step-by-step explanation:

\(\begin{array}{|c|c|c|c|}x&3x^2+5&\Delta_1x&\Delta_2x\\--&--&--&--\\0&5&-&-\\1&8&3&-\\2&17&9&6\\3&32&15&6\\4&53&21&6\\--&--&--&--\\\end{array}\)

Answer:

30,000

Step-by-step explanation:

31623

1 is less than 5 so you dont round up

30,000

-- Gage Millar, Algebra 2 Tutor

Answer:

x=77°

Step-by-step explanation:

angles in triangle add to 180°

180°-43°-60°=x°

77°=x°

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

\(N= 177\\\\a=46\\\\b=52\\\\c=36\\\\d=43\)

\(\to \chi _{1}^{2}=\frac{N(ad-bc)^{2}}{(a+c)(b+d)(a+b)(c+d)}\)

         \(=\frac{177((46\times 43)-(52 \times 36))^{2}}{(98)(79)(82)(95)}\\\\=\frac{177((1978)-(1872))^{2}}{60310180}\\\\=\frac{177(106)^{2}}{60310180}\\\\=\frac{177(11236)}{60310180}\\\\=\frac{1988772}{60310180}\\\\= 0.032976\)

P-value= \(CHIDIST(0.032976,1) = 0.86.\)

thus, the surgical-medical patients and Medicare are dependent.

Answer:

D

Step-by-step explanation:

the square root is between 14.1 and 14.2.

Answer:

Between 14.1 and 14.2

Step-by-step explanation:

D

The speed of the water wave is 2.0 meters per second.

The speed of a wave is calculated by dividing the distance traveled by the time it takes to travel that distance. In this case, the distance traveled by the water wave is 10.0 meters, and the time taken is 5.0 seconds.

To determine the speed, we use the formula:

Speed = Distance / Time

Substituting the given values, we have:

Speed = 10.0 meters / 5.0 seconds = 2.0 meters per second

Therefore, from the given information, we can determine that the speed of the water wave is 2.0 meters per second.

This information about the speed of the water wave is useful for various purposes. It allows us to understand how quickly the wave is propagating through the medium. It also helps in analyzing wave behavior, such as interference, reflection, or refraction, and studying the characteristics of the medium through which the wave is traveling. Additionally, the speed of the wave can be used in calculations involving wave frequencies, wavelengths, and periods.

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Answer:

x ≤ 30

Step-by-step explanation:

Pls make me branliest I need it.

The equation for the absolute value function is y = -2lx-4l + 2

An absolute value function is what?

A function that surrounds an algebraic expression in absolute value symbols is called as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value. The definition of the absolute value parent function is given as follows: f(x)=x if x>00 if x=0 if x0.

Y=a| x+h |+k is the form of the equation for an absolute value function. Also:

The graph's vertex is (h,k).

The range of the graph is y≥k for a>0 and its domain is a set of all real numbers.

The range of the graph is y≤k when a0, and its domain is a set of all real numbers.

X=h is the symmetry axis.

If a>0, it opens up; if a0, it opens down.

The graph of y=a| xh |+k can be created by translating the line graph y=| x | by h units horizontally and k units vertically.

If | a | 1 and if | a | >1, the graph of y=a| x | is wider than the graph of y=| x | and narrower.

So here (h,k)=(4,2)
range of y≤2

and its narrower so a≥1
hence the equation is y = -2 l x-4 l +2


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