Given m||n, find the value of x. (5x-23)° (7x-1)°​

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the sides of the figures

(1)

The figure has 5 congruent sides , then perimeter P

P = 5 (\(\frac{2}{5}\) x + 1) ← multiply each term in the parenthesis by 5

  = 2x + 5

(2)

There are 4 congruent sides of (\(\frac{5}{2}\) x - y) and 8 of y , then

P = 4(\(\frac{5}{2}\) x - y) + 8y ← distribute parenthesis by 4

  = 10x - 4y + 8y ← collect like terms

  = 10x + 4y

(3)

P = 2(\(\frac{2a-b}{2}\) ) + 2(\(\frac{3b}{2}\) ) + 2a ← distribute parenthesis

  = 2a - b + 3b + 2a ← collect like terms

  = 4a + 2b

• so we know the final number is 6 so lets look at the rest of the question:

• Let unknown number = y

• so ( y-2 ), so twice the difference of a number 2 is 6 will be expressed as follows :

2(y-2) = 6

Answer:

number 2................

Let's assume that the original amount that was borrowed is x dollars. So, the interest on this amount after 1 year would be given by the formula: I = P x r x t where P is the principal amount, r is the rate of interest and t is the time in years.

For simple interest, the interest is given by the formula: I = P x r x t Therefore, we can find the interest on x dollars, which is borrowed at an 18% simple interest over 1 year by: I = x × 0.18 × 1= 0.18xThe total amount that is paid back after 1 year is $947.54. So, we can write the equation for the total amount paid as: x + 0.18x = 947.54

Simplifying this equation, we get:1.18x = 947.54 Dividing both sides of the equation by 1.18, we can find the value of x, which is the original amount that was borrowed: x = 947.54 / 1.18= 802.05Therefore, the original amount that was borrowed was $802.05. So, the answer is: The amount of the original loan was $802.05.

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Answer:

C

Step-by-step explanation:

The triangle is isosceles ( 2 legs are radii of the circle are equal )

Then the base angles are congruent and

x = \(\frac{180-30}{2}\) = \(\frac{150}{2}\) = 75° → C

Answer:

\(\mathrm{Minimum}\:\left(0,\:-4\right)\)

Step-by-step explanation:

\(y=\left(x-2\right)\left(x+2\right)\)

\(Parabola\:equation\:in\:vertex\:form:\) \(y=a\left(x-h\right)^2+k\:\mathrm{\:is\:the\:equation\:in\:vertex\:form\:for\:an\:up-down\:facing\:parabola\:with\:vertex\:at}\) \((h,k)\)

Rewrite y=(x-2)(x+2) in vertex form:

\(y=\left(x-0\right)^2-4\)

\(\mathrm{The\:parabola\:params\:are:}\)

\(a=1,\:h=0,\:k=-4\)

\(\mathrm{Therefore\:the\:parabola\:vertex\:is}\)

\(\left(h,\:k\right)=\left(0,\:-4\right)\)

\(\mathrm{If}\:a < 0,\:\mathrm{then\:the\:vertex\:is\:a\:maximum\:value}\)

\(\mathrm{If}\:a > 0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}\)

\(a=1\)

\(\mathrm{Minimum}\:\left(0,\:-4\right)\)

Answer:

Step-by-step explanation:

The answer is b -250

Answer: The cube root of 729 is a value that when multiplied by itself three times equals 729. To find the cube root of 729 step by step, you can use the following method:

First, you can find the largest integer that when cubed is less than 729. In this case, 9 cubed is 729, and 9 is the largest integer that satisfies this condition.

Now you have a rough estimate of the cube root value, which is 9.

You can now use the long division method to get the exact value of cube root

As 729 is three digit number, so you can split it into hundreds, tens and units like 729 = 7 x 100 + 2 x 10 + 9

Now, you can find the cube of the hundreds digits (7) and the units digits (9) which is 343, 729 respectively

Now you can find the cube of a number just less than the tens digit (2) which is 2 x 2 x 2 = 8

Now you can add the cubes of the digits of the number. so, 729 = 343 + 80 + 729 = 1152

Now you can divide the given number by the cubes of the digits of the number. so, 729 / 1152 = 1.079

Now you can add the quotient obtained in the previous step to the rough estimate of the cube root obtained in step 1, so 9 + 0.079 = 9.079

The cube root of 729 is approximately 9.079

Note: you can use a calculator or a computer program that performs cube root calculation in order to get a more precise value.

Step-by-step explanation:

Cube root of 729 is 9.

What is a cube root?

Cube root of number is a value which when multiplied by itself thrice or three times produces the original value. For example, the cube root of 27, denoted as ∛27, is 3, because when we multiply 3 by itself three times we get 3 x 3 x 3 = 27 = 3^3. So, we can say, the cube root gives the value which is basically cubed. Here, 27 is said to be a perfect cube. From the word, cube root, we can understand what is the root of the cube. It means which number caused the cube present under the root. Usually, to find the cubic root of perfect cubes, we use the prime factorisation method.

Now,

Given number=729

Factor the number

729=3*3*3*3*3*3

729=9*9*9=9^3

Taking cube root both side

∛729=9

Hence

          Cube root of 729 is 9.

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Answer:

The answer will be C x=14 and y=7

Step-by-step explanation:

Hope this HElped

Answer:

$333.5

Step-by-step explanation:

First we have to find 45% of 230 and then add that value to 230

(we can also find 145% of 230, which is essentially the same thing)

so 45% of 230 is:

230*(45/100)= $103.5

230+103.5= $333.5

The most appropriate model to represent the data in the table is quadratic

From the question, we have the following parameters that can be used in our computation:

The graph

In the graph, we can see that

Only a quadratic function has this feature

Hence, the most appropriate model to represent the data in the table is quadratic

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The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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Upon solving Equations with rational exponents, we get\(x = (485/2)^{3}\)

A variable is a symbolic name given to a value that can be changed and reused. In programming, variables are used to store information, such as numbers, text, or other data. Variables can be created and manipulated to store data that can be used in various ways, ranging from simple calculations to complex programs. Variables are an essential component of any programming language, as they enable programmers to store and access data in a reusable and efficient way.

\(1455 = 2x^{(4/3)} - 3x^{(1/2)}\\2x^{(4/3)} - 3x^{(1/2)} = 1455\\2x^{(4/3)} = 1455 + 3x^{(1/2)}\)

\(2x^{(4/3)} = 1455 + 3x^{(2/4)}\\2x^{(4/3)} = 1455 + 3x^{(1/2)}^{2}\\2x^{(4/3)} = 1455 + 3x\)

\(2x^{(4/3) }- 3x = 1455\\(2x^{(4/3)})/(3x) = 1455/3x\\2x^(1/3) = 485\\x^{(1/3)} = 485/2\)

\(x = (485/2)^{3}\)

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Pseudocode refers to a language that uses a combination of informal English language and a programming language. It's utilized to specify the steps that a computer program will follow to achieve a particular aim. In the context of programming, pseudocode is commonly used to explain a program's algorithm before it is turned into actual code.

In a nutshell, pseudocode is a way of expressing computer code in a human-readable format that can be easily interpreted. Here is the pseudocode for the manager's scenario:

1. Declare variable: sales = 0, vat = 0.

2. Request input of sales amount in Rands from user.

3. Multiply sales by 15% to calculate the VAT payable.

4. Add VAT payable to the sales amount to determine the total sales amount.

5. Display total sales amount and VAT payable.

the pseudocode for a scenario where a food store manager wants to keep track of the amount of sales of food and the amount of VAT that is payable on it will entail the use of variables, multiplication, and display functions. In addition, requesting input from the user is a critical step that cannot be ignored.

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Answer:

232 and 58

Step-by-step explanation:

bro just use a calc

Answer:

Part A: C, 129 & Part B: A, 58

Step-by-step explanation:

Part A:

36+ 51 + 42= 129

Part B:

152- 49 - 45= 58

To double check part B:

58 + 49 + 45 = 152

The expression to get the length is:

L = (x + 3)cm

And when x = 2, the length is 5 cm.

Remember that for a rectangle of length L and width W, the area is:

A = L*W

In this case, we know that W = 6cm and the area equation is:

A = L*6cm = (6*x + 18)cm^2

Solving that for L:

L = (6*x + 18)cm/6

L = (x + 3)cm

That is the expression to get the length.

If x = 2, then we replace the variable x by 2 in the above expression so we get:

L = (2 + 3)cm  =5cm

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Let the number be x,

11 + x = 176

x = 176 -11

x = 165

Once you know the values of h, w, and l, you can plug them into this formula and calculate the approximate length of the diagonal brace rounded to the nearest tenth of a foot.

Let's assume that the rectangular prism has length (l), width (w), and height (h). To find the length of the diagonal brace, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal brace forms a right triangle with the height, width, and the diagonal brace itself as its sides. So, the length of the diagonal brace can be calculated as follows:

diagonal brace = square root of (h^2 + w^2 + l^2)

what is Pythagorean theorem?

The Pythagorean Theorem is a fundamental concept in mathematics that relates to the sides of a right triangle. It states that the square of the length of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the lengths of the other two sides (the legs).

In other words, if we denote the lengths of the legs of a right triangle as a and b, and the length of the hypotenuse as c, then the Pythagorean Theorem can be written as:

c^2 = a^2 + b^2

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Answer:

13

Step-by-step explanation:

Add one, because each of the ins had an out that was +1

(a) The logistic differential equation is dP/dt = kP(1 - P/5900).

(b) The estimated population after 50 years is 5616.

(c)  The formula for the population after t years, given an initial population of P0, is:
P(t) = (5900 * P0) / (P0 + (5900 - P0) * e^(-k*t))

(d) The population after 50 years is approximately 5612.3.

(a) The logistic differential equation is given by:

dP/dt = kP(1 - P/5900)

where P is the population, t is time in years, k is the growth rate constant, and 5900 is the carrying capacity.

(b) Using Euler's method with step size h=1, the population after 50 years can be estimated as follows:

P(0) = 1000 (initial population)
P(1) = P(0) + h * dP/dt = 1000 + 1 * 0.0017 * 1000 * (1 - 1000/5900) = 1041 (rounded to nearest whole number)
P(2) = P(1) + h * dP/dt = 1041 + 1 * 0.0017 * 1041 * (1 - 1041/5900) = 1083 (rounded to nearest whole number)
...
P(50) = 5616 (rounded to nearest whole number)

Therefore, the estimated population after 50 years is 5616.

(c) The formula for the population after t years, given an initial population of P0, is:

P(t) = (5900 * P0) / (P0 + (5900 - P0) * e^(-k*t))

(d) Using P0 = 1000 and t = 50, the population after 50 years is:

P(50) = (5900 * 1000) / (1000 + (5900 - 1000) * e^(-0.0017*50)) = 5612.3 (rounded to one decimal place)

Therefore, the population after 50 years is approximately 5612.3.

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The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.

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Answer:

Step-by-step explanation:

The expressions are not equivalent.  A cup of tea costs $3.25.  $3.25t reprensents the total cost for the number of cups of tea (t) in one order.  Subtracting the $1 coupon or adding the coupon as a negative results in the same discount.  But Patty is using the wrong cost for a cup of tea, $3 instead of $3.25.  Resulting in expressions that are NOT equivalent.

All of the criteria's are fulfilled the survey is valid.

We have the information from the question:

The proportion of college football players who have had at least one concussion is estimated to be 34% in the united states.

Then, 34% = 0.34

The sample size of the data is = 100

p: the ‘proportion’ of ‘college’

The required conditions for testing the hypothesis of population proportion are,

(i) The population is larger than the sample

(ii) np > 10

=> 100 × 0.34

      =34

(iii) n(1-p) > 10

100 × (1 - 0.34)

=> 100 × 0.66

      =66

iv)The ‘sample’ is drawn randomly from the population.

Since all of the above criteria's are fulfilled the survey is valid.

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Answer:

You just flip the fraction.

Step-by-step explanation:

For example the reciprocal of 4/9 is 9/4

Hopefully this helps you :) Have a great day. Good luck on your question.

So there are 6 permutations possible with the letters "ABC". These are: ABC, ACB, BAC, BCA, CAB, CBA.

Permutations are a way of arranging objects in a specific order. The number of permutations of a set of n distinct objects is given by n!, where n! denotes the factorial of n.

In the case of the letters "ABC", there are three distinct objects: A, B, and C. Therefore, the number of permutations possible with these letters is:

3! = 3 x 2 x 1 = 6

This means that there are 6 possible ways of arranging the letters "ABC" in a specific order. These permutations are:

ABC

ACB

BAC

BCA

CAB

CBA

To see why there are 6 possible permutations, consider the first position. There are three letters to choose from, so there are three possible choices for the first position. Once the first letter is chosen, there are two letters left to choose from for the second position. Finally, there is only one letter left to choose from for the third position. Therefore, the total number of permutations is:

3 x 2 x 1 = 6

In summary, the number of permutations of a set of n distinct objects is given by n!, and in the case of the letters "ABC", there are 3! = 6 possible permutations: ABC, ACB, BAC, BCA, CAB, and CBA.

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Answer

C

Step-by-step explanation:

2(-4) + 3

-8 + 3

-5

The number of quarts of paint did mieko use in the living room is A = 3 quarts

Given data ,

Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room

Now , on simplifying the equation , we get

Two gallons of paint is equal to 8 quarts (2 x 4 = 8)

Mieko used 1/4 of the paint on her bedroom, which is equal to 2 quarts (1/4 x 8 = 2)

She used 3 quarts of paint on the hallway

Thus, Mieko used a total of 2 + 3 = 5 quarts of paint on the bedroom and hallway

Therefore , she used 8 - 5 = 3 quarts of paint in the living room

Hence , the number of quarts is A = 3 quarts

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