the right isosceles triangle pqr has vertices p(3,3),, q(3,1) and r(x,y) and is rotated 90 degress counterclowise about the origin. find the missing vertex of the triangle.

Therefore , the solution of the given problem of range comes out to be option c) BETWEEN .

The variable's range is calculated by multiplying the maximum observed value by its minimum observed (minimum). Variable steel prices and different designs are two examples of potential range or central difference limits. The breadth or scope of a process or action gives a hint as to the utmost or anticipated spread of a weapon's missile. The range of a list or subgroup is the integer between its lowest and maximum.

Here,

To specify a range and is often used with date criteria

the operation which we use :

Is option c) BETWEEN

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The range of value for d is d ≥ 1

Inequality, In mathematics is a statement of an order relationship. Greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Greater than is >

Greater then or equal to is ≥

less than <

less then or equal to ≤

d + 5≥ 6

add the additive inverse of 5 to both sides

d+5+(-5) ≥ 6+(-5)

d ≥ 6-5

d ≥ 1

therefore the range of value of d is d ≥ 1

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Answer:

Step-by-step explanation:

We can start by simplifying the denominator, which is cot(a) + tan(a):

cot(a) + tan(a) = cos(a)/sin(a) + sin(a)/cos(a)

To combine these terms, we can find a common denominator of sin(a)cos(a):

cos^2(a)/(sin(a)cos(a)) + sin^2(a)/(sin(a)cos(a))

= (cos^2(a) + sin^2(a))/(sin(a)cos(a))

= 1/(sin(a)cos(a))

Now we can substitute this expression into the original equation:

sec(a)/(cot(a) + tan(a))

= sec(a) / (1/(sin(a)cos(a)))

= sec(a) * (sin(a)cos(a))

= (1/cos(a)) * (sin(a)/cos(a))

= sin(a)/cos^2(a)

= csc(a)sec(a)

Therefore, the simplified form of sec(a)/(cot(a) + tan(a)) is csc(a)sec(a).

Answer:

66.67

Step-by-step explanation:

8 people stayed home, 8/12=2/3=66.67(approx)

The recording of the transactions in the Blooming Flower Company for the Year 1 . The amount of depreciation expense on its Year 1 Income Statement is $9,000.

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

The Data Analysis as follows;

Cash $60,000                     Common Stock $60,000

Equipment $40,000            Cash $40,000

Cash $72,000                       Sales Revenue $72,000

Salaries Expense $25,000    Cash $25,000

Depreciation Expense - $9,000

Accumulated Depreciation $9,000 means ($40,000 - $4,000)/4

Now we have

Transaction    Balance Sheet    Income Statement     StatemenCashFlows            

    Assets = Liabilities + Equity            

Revenue - Expense  = Net Income

1. +$60,000 =           $0   + $60,000                                                       FA

2. +40,000 - 40,000                                                                                IA

3. +72,000 =  $0    +   72,000       +$72,000                                OA

4. -25,000 =  $0     -   25,000                          - 25,000               OA

5.   -9,000 =  $0     -     9,000                          -   9,000                N/A

$98,000 =  $0       $98,000         $72,000 - $34,000 = $38,000

Where FA = Financing activity

IA = Investing activity

OA = Operating activity

N/A = Not applicable

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Answer:

A. 100%

Step-by-step explanation:

Business owners will recieve 100% of their profits, because they paid for them. The recommended profits are 50% because they need to pay employees as well.

Answer:

a. The sequence x_n = n^-2 converges quadratically to zero as n approaches ∞.

b. The sequence x_n = 2^-n converges linearly to zero as n approaches ∞.

c. The sequence x_n = 2^-2n converges quadratically to zero as n approaches ∞.

d. The sequence x_n = 2^-a_n with a_0 = a_1 = 1 and a_n+1 = a_n+a_n-1 for n≥2 converges superlinearly to zero as n approaches ∞.

Step-by-step explanation:

a. The sequence {x_n} = {n^(-2)} converges quadratically to zero as n approaches ∞.

To see this, we can calculate the limit of the ratio between consecutive terms:

lim_{n -> ∞} (x_{n+1} / x_n) = lim_{n -> ∞} ((n+1)^(-2) / n^(-2)) = lim_{n -> ∞} ((n / (n+1))^2) = 1

Since the limit is equal to 1, we know that the convergence rate of {x_n} is at least quadratic. This can also be seen from the fact that the error in the nth term is O(n^(-3)), which is smaller than the error in a linearly converging sequence (which is O(n^(-1))).

b. The sequence {x_n} = {2^(-n)} converges linearly to zero as n approaches ∞.

To see this, we can calculate the limit of the ratio between consecutive terms:

lim_{n -> ∞} (x_{n+1} / x_n) = lim_{n -> ∞} (2^(-(n+1)) / 2^(-n)) = lim_{n -> ∞} (1/2) = 1/2

Since the limit is strictly less than 1, we know that the convergence rate of {x_n} is linear.

c. The sequence {x_n} = {2^(-2n)} converges quadratically to zero as n approaches ∞.

To see this, we can calculate the limit of the ratio between consecutive terms:

lim_{n -> ∞} (x_{n+1} / x_n) = lim_{n -> ∞} (2^(-(2(n+1))) / 2^(-2n)) = lim_{n -> ∞} (1/4) = 1/4

Since the limit is equal to 1/4, we know that the convergence rate of {x_n} is at least quadratic. This can also be seen from the fact that the error in the nth term is O(n^(-2)), which is smaller than the error in a linearly converging sequence (which is O(n^(-1))).

d. The sequence {x_n} = {2^(-a_n)}, where a_0 = a_1 = 1 and a_{n+1} = a_n + a_{n-1} for n >= 2, converges superlinearly to zero as n approaches ∞.

To see this, we can use the fact that a_n grows exponentially with n. We can prove by induction that a_n >= phi^n, where phi is the golden ratio. Since the terms of {x_n} are decreasing and bounded below by 0, they must converge to a limit L. Taking the limit of the ratio of consecutive terms, we get:

lim_{n -> ∞} (x_{n+1} / x_n) = lim_{n -> ∞} (2^(-a_{n+1}) / 2^(-a_n)) = lim_{n -> ∞} (2^(-a_n - a_{n-1})) = 0

This shows that the convergence rate of {x_n} is superlinear.

Answer:

(1,-1)

Step-by-step explanation:

Answer:

Option B: [tex](1, -1)[/tex]

Step-by-step explanation:

The two equations are linear simultaneous equations, which can be solved by either the substitution, elimination or graphical method.

Substitution method:

Formulate an expression for x in terms of y by isolating x and making it the subject of the equation:

   [tex]x + 2y = -1[/tex]

                  ∴ [tex]x = -2y -1[/tex] —— (equation i)

                     [tex]2x - 3y = 5[/tex] ——- (equation ii)

Substitute (equation i) in (equation ii) to solve for y:

                                      [tex]2(-2y -1) - 3y = 5[/tex]

Expand the brackets or parenthesis using the Distributive Law:

                                       [tex]-4y -2 -3y = 5[/tex]

Bring all the like terms together. Isolate the y terms together on one side of the equation and move all the other terms to the other side:

[tex]-4y -3y = 5 + 2[/tex]

= [tex]-7y = 7[/tex]

= [tex]y = -\frac{7}{7}[/tex]

∴ y = [tex]-1[/tex]

Substitute this calculated value of y into any of the equations to solve for x:

      [tex]x = -2(-1) - 1[/tex]

         [tex]= 2 - 1[/tex]

   ∴ x = [tex]1[/tex]

Together these x and y values form an ordered pair. In addition, this ordered pair is a solution to both the equations and also considered the point of intersection of the two equations

∴ Option B: [tex](1, -1)[/tex]

Note that the above is solved using a Truth Table. The truth table is attached accordingly. Note that the argument is invalid

A truth table is a table that displays all possible combinations of truth values for the propositional variables in a logical expression and the resulting truth value of the expression.

It is an important tool in logic as it enables us to determine the validity of arguments, identify tautologies and contradictions, and simplify complex expressions. Truth tables provide a systematic and rigorous method of evaluating logical expressions and reasoning about their truth values.

With respect to the table, since there is at least one row where all premises are true but the conclusion is false (the fifth row in this case), the argument is invalid

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Answer:

When cash is received, it should be entered as a debit to the cash account, as the cash account is an asset account that reflects an increase in the company's assets. Therefore, the journal entry would be:

Date: Oct - 1

Account: Cash

Account Number: 1000

Debit: $8000

Credit: $0

The dependent clause in the sentence is: "when I no longer have to turn on the furnace every day."

The sentence has two parts: the first part is an independent clause, which can stand alone as a complete sentence:

"I will put away my winter clothes and store the blankets in the upstairs closet."

The second part is a dependent clause, which cannot stand alone as a complete sentence, and it starts with the subordinating conjunction "when."

The dependent clause provides additional information on when the action of putting away winter clothes and storing blankets will happen, and it depends on the independent clause to make sense.

Hence, "when I no longer have to turn on the furnace every day" is the dependent clause.

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Answer:

x = -7.8

Step-by-step explanation:

Solve for x:

[tex]x-(-3.9)=-3.9[/tex]

Simplify

[tex]x+3.9=-3.9[/tex]

Subtract 3.9 on both sides

[tex]x=-7.8[/tex]

Answer:

Step-by-step explanation:

3f(x) stretches the graph of the function by a factor of 3 since it is being multiplied to f(x) and 3 is greater than one.

f(x+3) shifts the graph of the function 3 units to the left since 3 equals h in the equation: f(x-h), so you switch the sign and it becomes negative thus moving left.

f(3x) compresses the graph by a factor of 1/3 since it is inside the parenthesis.

f(x) + 3 shifts the graph of the function up by 3 units since it is being added to f(x).

Por lo tanto, el precio original del abrigo era de 72€

Para resolver este problema, primero debemos determinar el precio original del abrigo antes de las rebajas.

Sea x el precio original del abrigo.

Después de aplicar la primera rebaja del 40%, el precio del abrigo sería:

x - 0.4x = 0.6x

Luego, tras la subida del 30%, elprecio se incrementaría al 130% del precio anterior:

1.3(0.6x) = 0.78x

Sabemos que este precio final es de 56,16€, por lo que podemos resolver la ecuación:

0.78x = 56.16

x = 72

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Applying the secant-tangent theorem, the value of x is calculated as: x = 5.

The secant-tangent theorem states that if there is a point outside of a circle and we draw a tangent line and a secant line from that point to the circle, then the length of the tangent line squared is equal to the length of the secant line multiplied by the length of the part of the secant line that is outside the circle.

Therefore, applying the secant-tangent theorem:

4 * (x + 4) = 6²

4x + 16 = 36

4x = 36 - 16

4x = 20

4x/4 = 20/4

x = 5

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The weight's height at t=1.5 seconds is roughly 8.07 feet.

a. The equation for simple harmonic motion can be used to find a model that describes the motion of the weight:

Acos(wt + phi) + D = y(t)

A represents amplitude, w represents angular frequency, phi represents phase shift, and D represents vertical shift.

The amplitude A is equal to half the difference between these two heights because we know the weight oscillates between a minimum height of 4 feet and a maximum height of 10 feet:

A = (10 - 4)/2 = 3

The weight completes a full cycle in three seconds, hence the weight's angular frequency is:

T = 2pi/3 and w = 2pi

where T, or the period, denotes the length of time for one complete cycle.

We can set phi to 0 because the weight begins at the lowest height of 4 feet. Last but not least, the vertical shift D is just the average of the highest and lowest heights:

D = (10 + 4)/2 = 7

Combining everything, we obtain:

Y(t) equals 3cos((2pi/3)*t) + 7

b. By simply entering t=1.5 into our model, we can determine the height of the weight at t=1.5 seconds:

3cos((2pi/3)*1.5)*y(1.5) + 7 + 8.07

Hence, the weight's height at t=1.5 seconds is roughly 8.07 feet.

c. We can plot y(t) for t ranging from 0 to 6 seconds in order to graph the model for two periods (two full cycles). The graph is shown here:

code

      |

  10  |             *  

      |           *   *

      |         *       *

      |        *         *

  7   |       *           *

      |     *               *

      |    *                 *

      |   *                   *

  4   | *                       *

      +-----------------------------

        0    1    2    3    4    5  

The graph demonstrates that the weight oscillates sinusoidally with a period of 3 seconds between 4 and 10 feet. In contrast, the minimum height is reached at t=0 seconds and the maximum height is obtained at t=1.5 seconds and t=4.5 seconds.

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Answer:

  41.7 m³

Step-by-step explanation:

You want a volume of 1472 ft³ expressed in cubic meters.

One foot is exactly 0.3048 meters, so we can write the fraction ...

  (0.3048 m)/(1 ft)

and it will have a value of 1. When we multiply by this, it does not change the length, but it changes the units of the length.

The volume is expressed as the third power of the length unit, so we need to use this conversion factor 3 times.

  1472 ft³ = (1472 ft³) × ((0.3048 m)/(1 ft))³ = 1472·0.3048³ m³ ≈ 41.7 m³

The volume of Alice's chicken coop is about 41.7 cubic meters.

Step-by-step explanation:

these are the answer s hope this helps.

The correct statement is Option - B →

The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.

A mathematical argument is a sequence of statements and reasons given with the aim of demonstrating that a claim is true or false.

Given is that Bob is 13 feet tall. So, Bob is taller than most other people.

The correct statement is -

The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.

Therefore, the correct statement is Option - B →

The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.

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The equation of the graph given is y = -([tex]2^x[/tex] - 2).

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

y = [tex]2^x[/tex]

The transformation of the function to get the given graph.

Step 1:

Shrink vertically with a scale factor of  2.

Step 2:

Rotation of the function about the origin.

We get,

y = -([tex]2^x[/tex] - 2)

Thus,

The equation of the graph is y = -([tex]2^x[/tex] - 2).

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Answer:

angle a: 70°

angle d: 70°

angle dce: 35°

x: 15m

y: 14m

Step-by-step explanation:

all triangles add to 180° so 35 + 75 = 110 and 180-110 = 70

where the two triangles connect and cross, the angles will be the same so it will have the same angle measures as the first triangle which makes the triangles similar

knowing that they are similar triangles will help with figuring out the lengths of the sides.

since they are similar, their sides will be proportional, we just need to figure out the ratio

if we lay the triangles on top of each other, the two 75° angles match up and therefore the sides do too so we can make a fraction 12/18 = 10/x

now we can solve for x

multiply both sides by x

12x/18 = 10

now multiply both sides by 18

12x = 180

divide both sides by 12

x = 15

now we do the same for y

12/18 = y/21

12*21/18 = y

y = 14

hope this helps!

The triangles are congruent by ''ASA congruency theorem.''

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two triangles PQT and PZX are shown in figure.

Now, By figure;

In both triangles PQT and PZX,

⇒ ∠ QTP = ∠ PXZ

⇒ PQ = PZ

⇒ ∠ QPT = ∠ XPZ     (By definition of vertically opposite angle.)

Thus, By ASA congruency theorem both triangles are congruent.

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Answer:

257.14 calories (about 260)

Step-by-step explanation:

To solve this problem, we can use proportions.

If a 28 g serving of almonds has 160 calories, then:

28 g / 160 calories = 45 g / x calories

where x is the number of calories in a 45 g serving of almonds.

We can cross-multiply and solve for x:

28 g * x = 160 calories * 45 g

x = (160 calories * 45 g) / 28 g

x = 257.14 calories

Therefore, a 45 g serving of almonds has 257.14 calories (rounded to two decimal places).

Answer:

18

Step-by-step explanation:

Simplifying, the exponents expression, we have 63y/xu⁴

Exponents are the powers to which a particular number is raised.

Given the expression 3y⁻⁴ . 3y⁵x⁸u⁻⁵.7x⁻⁹. To simplify the expression, we use the product rule of exponents which states that for a given base x, xᵃ xᵇ = xᵃ⁺ᵇ.

So, applying this rule to the expression and collecting common bases, we have that

3y⁻⁴ . 3y⁵x⁸u⁻⁵u.7x⁻⁹ = 3y⁻⁴ × 3y⁵ × x⁸ × 7x⁻⁹ × u⁻⁵ × u

= 3 × 3 × y⁻⁴ × y⁵ × 7 × x⁸ × x⁻⁹ × u⁻⁵ × u

Applying the product rule, we have that

= 3 × 3 × y⁻⁴ ⁺ ⁵ × 7 × x⁸ ⁺(⁻⁹) × u⁻⁵ ⁺ ¹

= 3 × 3 × y⁻⁴ ⁺ ⁵ × 7 × x⁸ ⁻ ⁹ × u⁻⁵ ⁺ ¹

= 3 × 3 × y × 7 × x⁻¹ × u⁻⁴

= 3 × 3 × 7 × y × x⁻¹ × u⁻⁴

Using the reciprocal rule that x⁻ⁿ = 1/xⁿ, we have that

= 3 × 3 × 7 × y × x⁻¹ × u⁻⁴

= 63 × y × 1/x × 1/u⁴

= 63y/xu⁴

So, simplifying, we have 63y/xu⁴

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The complete sentence with inequality is,

⇒ 1 - a > 0

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The number line is shown in figure.

By figure, the value of a is in between - 1 and - 2.

Hence, It is negative number.

Thus, We can assume,

⇒ a = - x

Hence, We get;

⇒ 1 - a

⇒ 1 - (- x)

⇒ 1 + x > 0

Thus, The complete sentence with inequality is,

⇒ 1 - a > 0

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The solution to the system of equations is x = 34.5, y = 19.

None of the operations that can be performed on these equations violate the rules of the elimination method, so they are all allowed.

To solve the system of equations using the elimination method, you can multiply equation 2 by 2 to obtain:

-2x + 4y = 26 (equation 2, multiplied by 2)

Then, you can add this equation to equation 1 to eliminate the x variable:

(2x - 3y) + (-2x + 4y) = 12 + 26

Simplifying and solving for y, you get:

y = 19

Substituting this value of y into either equation, you can solve for x:

2x - 3(19) = 12

2x - 57 = 12

2x = 69

x = 34.5

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Therefore , the solution of the given problem of probability comes out to be  probability of  not experiencing either symptom is 0.05.

Calculating the likelihood that a statement is true or that an event will take place is the focus of probability theory, a branch of mathematics. Any number range between 0 and 1, where 1 is frequently used to describe certainty and 0 is commonly used to denote possibility, can be used to represent chance. A probability diagram shows the likelihood that a particular event will occur.

Here,

To determine if the two symptoms are independent, we need to check if the probability of one symptom changes depending on whether the other symptom is present or not.

P(pain | swelling) = 40% / 75% = 0.533

P(pain | no swelling) = 20% / 25% = 0.8

Since the conditional probabilities are not equal, the two symptoms are dependent.

(c) The probability that the victim will experience at least one of these symptoms is the probability of experiencing pain, swelling, or both. This can be calculated as:

P(pain or swelling) = P(pain) + P(swelling) - P(pain and swelling)

= 60% + 75% - 40%

= 95%

So the probability of experiencing at least one of these symptoms is 95%.

(d) The probability that a victim will have intense pain given that they have swelling is the conditional probability:

P(pain | swelling) = 40% / 75%

= 0.533

So the probability of having intense pain given that there is swelling is 0.533.

(e) The probability that a victim will experience pain but not swelling can be calculated as:

P(pain and no swelling) = P(pain) - P(pain and swelling)

= 60% - 40%

= 20%

So the probability of having intense pain without swelling is 20%.

(f) The probability that a victim will not experience either symptom is the complement of the probability of experiencing at least one symptom:

P(neither pain nor swelling) = 1 - P(pain or swelling)

= 1 - 0.95

= 0.05

So the probability of not experiencing either symptom is 0.05.

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We can conclude that -

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is that Khadija, Adnan, and Husam sent a total of 80 text messages over their cell phones during the weekend. Husam sent 2 times as many messages as Adnan. Adnan sent 8 more messages than Khadija.

Assume that Khadija sent {x] messages. Then, Adnan would have send

(x + 8) messages and Husam would have sent 2(x + 8) messages. We can

write the sum as -

x + x + 8 + 2x + 16 = 80

4x + 24 = 80

4x = 56

x = 7

Messages sent by Khadija = 7

Messages sent by Adnan = 15

Messages sent by Husam = 30

Therefore, we can conclude that -

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