Find measurement of angle PQR

First, by solving for y, convert the equation of the given line into slope-intercept form y=mx+c .You obtain the slope of the equation as m. Since the slopes of perpendicular lines are negative reciprocal, the slope of the line we're looking is the negative reciprocal of the perpendicular equation.

By entering the supplied point into the formula y = mx + b and solving for b, we arrive at the value of b. Consequently, the line's equation is formed.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

A line's slope often indicates the steepness and direction of the line.

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m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

An equivalent fraction with a rational denominator can multiply the original fraction by a fraction with a rational denominator.

To produce an equivalent fraction with a rational denominator, you can multiply the original fraction by a fraction with a rational denominator. For example, if the original fraction is \($\frac{3}{5}$\) , you can multiply it by \($\frac{2}{2}$\)  to get the equivalent fraction \($\frac{3 \cdot 2}{5 \cdot 2} = \frac{6}{10}$\)  . The denominator of this equivalent fraction, 10, is a rational number.

In general, to produce an equivalent fraction with a rational denominator, you can multiply the original fraction by a fraction with a rational denominator. The specific fraction you choose will depend on the desired denominator.

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Multiplying \(\frac{3}{\sqrt{17}-\sqrt{2} }\) by  \(\frac{\sqrt{17}+\sqrt{2}}{5}\) will produce an equivalent fraction with a rational denominator.

Consider given  expression \(\frac{3}{\sqrt{17}-\sqrt{2} }\)

First we rationalize a denominator of  fraction \(\frac{3}{\sqrt{17}-\sqrt{2} }\)

To rationalize the denominator, multiply and divide the expression by \({\sqrt{17}+\sqrt{2} }\)

So given fraction would be,  

\(\frac{3}{\sqrt{17}-\sqrt{2} }\\\\= \frac{3\times (\sqrt{17}+\sqrt{2})}{(\sqrt{17}-\sqrt{2})\times (\sqrt{17}+\sqrt{2}) }\\\\= \frac{3\times (\sqrt{17}+\sqrt{2})}{(\sqrt{17}^2-\sqrt{2}^2) }\\\\ = \frac{3\times (\sqrt{17}+\sqrt{2})}{(17-2) }\\\\= \frac{3\times (\sqrt{17}+\sqrt{2})}{15 }\\\\= \frac{3\times (\sqrt{17}+\sqrt{2})}{3\times 5 }\\\\= \frac{\sqrt{17}+\sqrt{2}}{5 }\)

Therefore, the required fraction is:  \(\frac{\sqrt{17}+\sqrt{2}}{5}\)

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A complete question is:

Multiplying 3/sqrt 17 - sqrt 2 by which fraction will produce an equivalent fraction with a rational denominator

The present value of the payments is smaller than the amount of the loan, so you will not be able to pay off the loan.

The present value of the payments refers to the current value of the future payments, considering the time value of money. In this case, the payments are made over a period of 8 months, and each payment is listed. To determine if the payments will be enough to pay off the credit card, we need to calculate the present value of these payments and compare it to the initial loan amount of $5,000.

Since the interest rate on the credit card is 1.5% per month, we need to discount each payment back to its present value. By discounting the payments, we can see the equivalent value of these payments in today's dollars. If the present value of the payments is equal to or greater than $5,000, it would be enough to pay off the loan. However, if the present value is smaller than $5,000, it means the payments will not be sufficient to pay off the loan.

In this case, without specific information about the discount rate used to calculate the present value, we cannot make an exact determination. However, based on the given information, which states that the present value of the payments is smaller than the amount of the loan, it suggests that the payments will not be enough to pay off the credit card debt.

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Answer:

type 1 in a1 type 2 in a2, (or whatever ur preferred no.s are),then heighlight both cells, then go to the bottom right corner of a2 and drag down or double click

Step-by-step explanation:

Drag down or double-click the bottom right corner of a2 to begin with a 1 in a1 and a 2 in a2 and complete the sequence.

Excel is a software in which we can process large amount of data and data handling easily and effectively, Excel can be used in Data analysis.

in a1 type 1 Type 2 in cell a2 (or whatever your chosen numbers are), highlight both cells, and then drag down or double-click the bottom right corner of a2.

Thus, drag down or double-click the bottom right corner of a2 to begin with a 1 in a1 and a 2 in a2 and complete the sequence.

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Answer:

(D) 2√3

Step-by-step explanation:

From the above question ,we are asked to solve for:

6/√12 −√3

In other to simplify, we would expand the numerator of 6/√12

So we have;

= [6/(√4 ×√3)] - √3

= (6/ 2 ×√3) - √3

= (6/2 × √3) - √3

= (3 ×√3) - √3

= 3√3 - √3

= 2√3

Therefore, the value of 6/√12 −√3 is

option (D) 2√3

"The result is irrational because it cannot be written as the ratio of two integers and its decimal expansion does not terminate or repeat.

1) Note that we have here two irrational numbers:

2) We can simplify a little bit more, the square root of 12 like this:

Note that now, we have two radicals with the same radicand. So we can proceed with that:

3) We can now answer the 2nd part.

"The result is irrational because it cannot be written as the ratio of two integers and its decimal expansion does not terminate or repeat.

Answer:

3 squared + 4 squared = x squared

9 + 16 = x squared

\(25 = {x}^{2} \)

then we sqare root both sides

\( \sqrt{25} = \sqrt{ {x}^{2} } \)

sqare root of 25 is 5

so x = 5

hyptonues is 5

(x is the sqaure root of 25 which equals 5)

Answer:

x=\(\sqrt{ b^{2} +a^{2}\) The hypotenuse is 5.

Step-by-step explanation:

Be warned im not sure this is correct.

Answer:

x = - 5, y = - 6

Step-by-step explanation:

Given the 2 equations

7x - 4y = - 11 → (1)

7x + 4y = - 59 → (2)

Adding the 2 equations term by term will eliminate the term in y

14x = - 70 ( divide both sides by 14 )

x = - 5

Substitute x = - 5 into either of the 2 equations and solve for y

Substituting into (2)

7(- 5) + 4y = - 59

- 35 + 4y = - 59 ( add 35 to both sides )

4y = - 24 ( divide both sides by 4 )

y = - 6

Thus x = - 5 and y = - 6

Answer:

x = -5

y = -6

Step-by-step explanation:

Let's take the top equation.

7x - 4y = -11

and solve it for x.

7x - 4y = -11

7x = 4y - 11

x = \(\frac{4y - 11}{7}\)

Now we can substitute it in to the other equation.

7x + 4y = -59

7(\(\frac{4y-11}{7}\)) + 4y = -59

Now solve this equation.

4y - 11 + 4y = -59

8y - 11 = -59

8y = -48

y = -6

Then substitute negative 6 into the first equation.

7x - 4(-6) = -11

7x -(-24) = -11

7x = 35

x = -5

The least number of bits that you'll need to represent 59 in binary is  (111011)₂

Binary:

In math, binary refers  a numbering scheme in which there are only two possible values for each digit -- 0 or 1

Given,

Here we need to find the binary equivalent to 59.

In order to solve this one, we have to divide 59 by 2. Use the integer quotient obtained in this step as the dividend for the next step. Repeat the process until the quotient becomes 0.

When 59 is divided by 2, the quotient is 29 and the remainder is 1.

When 29 is divided by 2, the quotient is 14 and the remainder is 1.

When 14 is divided by 2, the quotient is 7 and the remainder is 0.

When 7 is divided by 2, the quotient is 3 and the remainder is 1.

When 3 is divided by 2, the quotient is 1 and the remainder is 1.

When 1 is divided by 2, the quotient is 0 and the remainder is 1.

Now, we have to write the remainders from bottom to top.

=> (59)₁₀ = (111011)₂

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The given functions are:

f(x) = x² - 3x + 9g(x) = (9/2)x + (5/2)

We need to find the points of intersection of the graphs of the given functions.

To find the points of intersection, we equate the two functions.

x² - 3x + 9 = (9/2)x + (5/2)

Multiplying both sides by 2,

we get: 2x² - 6x + 18 = 9x + 5

Subtracting 9x + 5 from both sides,

we get:

2x² - 15x + 13 = 0.

To find the value of x, we can use the quadratic formula:

x = [-b ± √(b² - 4ac)]/2a

Here, a = 2, b = -15, c = 13.

Substituting the quadratic formula,

we get:

x = [15 ± √(15² - 4(2)(13))]/(2(2))

x = [15 ± √(225 - 104)]/4x = [15 ± √121]/4

x = [15 ± 11]/4

x = 26/4, 4/2So,

x = 13/2 or 2Substituting the value of x in either of the given functions,

we can find the value of y.

For x = 13/2,

f(x) = (13/2)² - 3(13/2) + 9= 169/4 - 39/2 + 9= 169/4 - 78/4 + 36/4= 127/4

g(x) = (9/2)(13/2) + 5/2= 117/4 + 5/2= 117/4 + 10/4= 127/4

So,

for x = 13/2,
y = 127/4.

Hence, (x,y) = (13/2, 127/4).

For x = 2,f(x) = 2² - 3(2) + 9= 4 - 6 + 9= 7

g(x) = (9/2)(2) + 5/2= 9 + 5/2= 19/2

So, for x = 2, y = 7.

Hence, (x,y) = (2, 7).

the points of intersection of the graphs of the given functions are:

(13/2, 127/4) and (2, 7).

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The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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Answer: yes 3/5 equal to 60/100

Step-by-step explanation:

The answer is it is because if you do

5 times 20 its 100

and 3 times 20 is 60

so what you do to the bottom you do to the top

so the answer is yes 3/5 equal to 60/100

Hope this helps :)

Answer:

Yes

Step-by-step explanation:

\(\frac{3}{5} and \frac{60}{100}\) are equivalent fractions. Equivalent fractions are fractions that have the same value of decimal. so when you simplify 60/100 you will definitely get 3/5. And both of their's decimal is equal which is 0.6.

the area of a regular polygon is

A = p x a/2

where p is the perimeter of the polygon,

a is the apothem.

p = sn

n is the number of sides

s is the sides length

p = 6.7 x 7

p = 46.9

therefore,

A = 46.9 x 7/2

A = 328.3/2

A = 164sq.u

x =2173

Step-by-step explanation:

Answer:

  E, D, B, A, C

Step-by-step explanation:

Please report this incomplete question to your teacher. You should not have to put up with this nonsense.

__

A. (x, y) ⇒ (3x, y) . . . horizontal stretch by a factor of 3

B. (x, y) ⇒ (x+3, y) . . . translation 3 units right

C. (x, y) ⇒ (x, 3y) . . . vertical stretch by a factor of 3

D. (x, y) ⇒ (x, y+3) . . . translation 3 units up

E. (x, y) ⇒ (3x, 3y) . . . dilation with a scale factor of 3

Researchers should carefully consider the limitations and assumptions of each method when selecting an appropriate approach for causal inference with multiple treatments and a binary outcome.

There are several parametric propensity score-based methods for causal inference with multiple treatments and a binary outcome. Some commonly used methods include multinomial logistic regression, multinomial probit regression, and multinomial logit models.

In multinomial logistic regression, the outcome variable is assumed to follow a multinomial distribution, and the relationship between the treatments and outcome is modeled using a logit function.

Multinomial probit regression assumes that the outcome variable follows a multinomial distribution, and the relationship between the treatments and outcome is modeled using a probit function.

Multinomial logit models are a generalization of binary logit models and can handle multiple treatments and a binary outcome.

The relationship between the treatments and outcome is modeled using a logit function. These methods aim to estimate the causal effect of multiple treatments on a binary outcome by controlling for confounding variables through the propensity score.

The propensity score represents the probability of receiving each treatment given a set of covariates.

Overall, the choice of method depends on the specific research question and the assumptions underlying each method.

Researchers should carefully consider the limitations and assumptions of each method when selecting an appropriate approach for causal inference with multiple treatments and a binary outcome.

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Multiplication:-

a. 7/3 × 2/9 = 7x2/3x9 = 14/27.

b. 3/7 × 5/11 = 3×5/7×11 = 15/77.

c. 15/8 × 6/25 = 3×3/4×5 = 9/20.

d. 21/20 × 15/14 = 3×3/4×2 = 9/8.

Division:

a. 3/4 ÷ 5/7 = 3/4 x 7/5 = 21/12 = (3 x 7) / (3 x 4) = 7/4

b. 9/5 ÷ 6/11 = 9/5 x 11/6 = 99/30 = (3 x 33) / (3 x 10) = 33/10

c. 15/8 ÷ 6 = 15/8 x 1/6 = 15/48 = (3 x 15) / (3 x 16) = 15/16

d. 8/7 ÷ 12 = 8/7 x 1/12 = 8/84 = (4 x 2) / (4 x 21) = 2/21.

Culcul constant des fractions:

a. 3/7 + 15/7 x 3/2

= 3/7 + 45/14

= (3 x 2) / (7 x 2) + 45/14

= 6/14 + 45/14

= 51/14

b. 9/5 x (1/4 - 5/12)

= 9/5 x [(1 x 3) / (4 x 3) - 5/12]

= 9/5 x (3/12 - 5/12)

= 9/5 - 2/12

= (9 x 12) / (5 x 12) - (2 x 5) / (12 x 5)

= 108/60 - 10/60

= 98/60

= (2x 49) / (2 x 30)

= 49/30.

c. (3/8 + 7/5) ÷ (9/4 - 5/3)

= [(3 x 5) / (8 x 5) + (7 x 8) / (5 x 8)] ÷ [(9 x 3) / (4 x 3) - (5 x 4) / (3 x 4)]

= (15/40 + 56/40) ÷ (24/12 - 20/12)

= 71/40 ÷ 4/12

= 71/40 x 12/4

= 852/160

= (4 x 213) / (4 x 40)

= 213/40.

Hope this helps..

Answer:

the answer is 24

Answer:

93

Step-by-step explanation:

3×32+8÷2-(4+3)

using BODMAS

3×32+8÷2-7

=96+8÷2-7

=96+4-7

=100-7

=93

The probability of choosing a 5 and then a 6 is 1/49

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

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

Answer:  The slope-intercept form is y = -2x + 10

Step-by-step explanation:

Step 1: The y-intercept is the point where x=0, so that is (0,10)

Step 2: Use the points (-2,14) and (-1,12) to find the slope

Slope (m) = ΔY/ΔX = -2/1 = -2

Step 3: The slope-intercept form is:

y = mx+b

y = (step 2 value) x + (step 1 value)

y = -2x+10

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Answer:

here is an answer x = a*y+3

The expected number Michael Jordan would make before his first miss is 4.

To find what the expected number Michael Jordan would make before his first miss:

Here is an example where we want the number of successes before the first failure.

So,

Therefore, the expected number Michael Jordan would make before his first miss is 4.

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The container having same volume and greater surface area than Amanda's container is -

Option 3: Container with dimensions 6 ft × 2 ft × 2 ft.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

The measurements of the box filled by Amanada is -

Length = 3 feet, Width = 2 feet and height = 4 feet

The formula for volume of a cuboid is -

Volume = l×w×h

Substitute the values in the equation -

Volume = 3 × 2 × 4

Volume = 24 ft³

The formula for surface area of a cuboid is -

Total Surface Area = 2(lw + wh + lh)

Substitute the values in the equation -

Total Surface Area = 2[(3 × 2) + (2 × 4) + (3 × 4)]

Total Surface Area = 2(6 + 8 + 12)

Total Surface Area = 2(26)

Total Surface Area = 52 ft²

Amanada wants a container with greater surface area and same volume.

The first and fourth containers are cubes and not cuboids so they are not considered.

The second container has same measurements as that Amanda filled, so they will have same volume and surface area.

Consider the third container with measurements -

Length = 6 feet, Width = 2 feet and height = 2 feet

The formula for volume of a cuboid is -

Volume = l×w×h

Substitute the values in the equation -

Volume = 6 × 2 × 2

Volume = 24 ft³

The formula for surface area of a cuboid is -

Total Surface Area = 2(lw + wh + lh)

Substitute the values in the equation -

Total Surface Area = 2[(6 × 2) + (2 × 2) + (6 × 2)]

Total Surface Area = 2(12 + 4 + 12)

Total Surface Area = 2(28)

Total Surface Area = 56 ft²

Therefore, the third container is the right choice.

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Answer:

3(x + 4)

Step-by-step explanation:

Factor out a 3 from both terms, since 3 and 12 are both divisible by 3.

3x + 12

3(x + 4)

So, the factored expression is 3(x + 4)

Answer: 3(x+4)

Step-by-step explanation:

Hii! Do you need to factor the expression 3x+12? No problem! :)

Note that, both 3x and 12 have something in common. This "something" is known as the greatest common factor, or g.c.f.

The g.c.f. of 3x and 12 is 3, so we divide both 3x and 12 by 3

x+4; next we put parentheses around x+4.

(x+4)

Now  we put 3 outside the parentheses.

3(x+4)

Voila! There's our solution, cheers!

--

Hope that this helped! Best wishes.

--

Answer:

1 1/2

Step-by-step explanation:

2 2/3 - 1 1/6 = ?

The LCD here is 6.  Convert 2 2/3 so that the denominator is 6:

2 2/3 = 2 4/6

Then subtract 1 1/6 from 2 4/6:  We get 1 3/6, or 1 1/2

Answer:

5.5

Step-by-step explanation:

x=y

2x=11

x=11/2=5.5