Find measurement of angle PQR

Answer:

2:3:5

Step-by-step explanation:

24:36:60

1) Find the greatest common factor

24 ⇒ 1, 2, 3, 4, 6, 8, 12, 24

36 ⇒ 1, 2, 3, 4, 6, 9, 12, 18, 36

60 ⇒ 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Therefore, the greatest common factor is 12.

2) Divide all values by 12

24 ÷ 12 = 2

36 ÷ 12 = 3

60 ÷ 12 = 5

Therefore, the simplified form of the ratio is 2:3:5.

I hope this helps!

Answer:

a) 14/4 or 3.5

b.) 148/15 or 9.8667

Step-by-step explanation:

a) 5¾ - 2¼

=23/4 - 9/4

LCM = 4

=23/4 - 9/4

=23. - 9

4

=14/4 OR 3.5

b) 7⅔ + 2⅕

=23/3 + 11/5

LCM = 15

=23/3 + 11/5

115. + 33

15

=148/15 OR 9.8667

Answer:

$2,725

Step-by-step explanation:

The maximum number of days is 7.

The cost per days is $375.

The cost for 7 days is 7 * $375 = $2,625.

The owner applies a $100 fee for cleaning which must be added to the cost of the days.

$2,625 + $100 = $2,725

The greatest value for the range is the greatest cost there can be which is $2,725.

Answer:

\(x = 21 - 2\frac{1}{3}y\)

Step-by-step explanation:

3x + 7y = 63

Minus 7y from both sides, then you get...

3x = 63 - 7y

Now we divide both sides by three to find the value of x:

\(x = 21 - 2\frac{1}{3}y\)

The equilibrium constant can be determined using the concentrations of reactants and products at equilibrium. In this case, the initial concentrations of substances A, B, and C are given as [A] = 0.50 M, [B] = 0.75 M, and [C] = 1.2 M, while the equilibrium concentration of C is [C] = 1.0 M.

The equilibrium constant, denoted as K, is defined as the ratio of the product of the concentrations of the products to the product of the concentrations of the reactants, each raised to the power of their stoichiometric coefficients. In this case, the balanced chemical equation is not provided, so we cannot directly calculate the equilibrium constant.

To determine the equilibrium constant, we need the balanced chemical equation representing the reaction. Once the balanced equation is available, we can determine the stoichiometric coefficients and calculate the equilibrium constant using the concentrations at equilibrium. Without the specific reaction, we cannot provide a numerical value for the equilibrium constant.

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Answer:

The percent of 11 to 50 is 22%

The percent of 72 to 80 is 90%

Step-by-step explanation:

Find an equivalent fraction with denominator 100

Then multiply:

72 × 100

Divided by the original number which was 80

Then multiply that by 1/100 which equals 90/100

So 90%

Answer: - 65/42 or -1 23/42

Step-by-step explanation:

You have to expand the brackets then make it into a mixed number/simplify it.

Good luck!

To set up an integral for the area of the surface obtained by rotating the curve x = y - y², we need to use the formula for the surface area of a revolution:

S = ∫2πy√(1 + (dy/dx)²)dx

First, we need to find dy/dx:

dy/dx = 1 - 2y

Next, we need to substitute x = y - y² into the formula:

S = ∫2π(y - y²)√(1 + (1 - 2y)²)dx

Finally, we need to rearrange the equation to get y in terms of x:

y - y² = x

y² - y + x = 0

Using the quadratic formula, we can solve for y:

y = (-1 ± √(1 - 4x))/2

Now we can substitute this back into the formula for S:

S = ∫2π((-1 ± √(1 - 4x))/2)√(1 + (1 - 2((-1 ± √(1 - 4x))/2))²)dx

This is the integral that we need to set up for the area of the surface obtained by rotating the curve x = y - y². We do not need to evaluate the integral, as the question only asks us to set it up.

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The mass of NaF that is required to make a standard 1 solution of 250 ml 0.1 M F- solution is 5.45 g of NaF. The number of moles in a solution is the concentration in moles per litre multiplied by the volume in litres.

To calculate the mass of a solute required, we need to first calculate the number of moles required. We can then use the molar mass of the solute to calculate its mass.To calculate the number of moles required in this question, we can use the formula:n = c × V where n is the number of moles, c is the concentration in moles per litre and V is the volume in litres. We have:c = 0.1 M

and V = 0.25 L

Substituting these values into the formula gives:n = 0.1 mol/L × 0.25 L

= 0.025 mol

Now we can use the molar mass of NaF to calculate its mass. The molar mass of NaF is 41.99 g/mol (22.99 g/mol for Na and 19.00 g/mol for F).

We have:n = 0.025 mol

solving for mass:m = n × M

where M is the molar mass of NaF.

Substituting gives:m = 0.025 mol × 41.99 g/mol ≈ 1.05 g

However, this is the mass required to make 0.25 L of solution. To make 1 L of solution, we would need to multiply the mass by 4. Therefore, the mass of NaF required to make a standard 1 solution of 250 ml 0.1 M F- solution is:1.05 g × 4 = 4.20 g Rounding this to two significant figures gives:4.2 g NaF.

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Answer: Because the initial value is $26.40, the line must pass through this when x is 0. Thus, the answer is either the first or the second equation.

Next, we calculate the difference between the year 2019 and 1998 and substitute it into the value of x.

2019 - 1998 = 21.

Substituting this into the equation:

y = 1.006(21) + 26.40

y = $47.52

Thus, the first option is correct.

Answer:

Step-by-step explanation:

Slope = rise/run

pick two points, (0,2) (3, -7)

take their y values and subtract them

take their x values and subtract them

2-(-7) over 0-3 is 9/-3

simplify

-3

The problem involves finding the expected value and variance for the Student t and chi-squared distributions, as well as finding probabilities for certain values of the distributions.

Additionally, the problem requires finding the value of an F distribution with specific degrees of freedom. The expected value for the Student t distribution with v degrees of freedom is 0, and the variance is v/(v-2) when v>2. For the given case with v=21, E(t)=0 and V(t)=21/19=1.1053. The probability of t being greater than 0.859 with 21 degrees of freedom and a significance level of 0.01 is given by t0.01,21 = P(t > 0.859) = 0.1989. The expected value for the chi-squared distribution with v degrees of freedom is v, and the variance is 2v. For the given case with v=9, E(χ2)=9 and V(χ2)=18. The probability of χ2 being greater than 8.343 with 9 degrees of freedom and a significance level of 0.10 is given by χ20.10,9 = 3.325 and P(χ2 > 8.343) = 0.117. The expected value for the F distribution with v1 numerator degrees of freedom and v2 denominator degrees of freedom is v2/(v2-2) when v2>2, and the variance is (2v2^2(v1+v2-2))/((v1(v2-2))^2(v2-4)) when v2>4. For the given case with v1=21 and v2=25, E(F)=1.25 and V(F)=1.9024. The probability of F being less than 0.01 with 21 numerator degrees of freedom and 25 denominator degrees of freedom is F0.01,21,25 = 0.469. To find the value of F0.99,25,21 without using the Distributions tool, we can use the fact that F is the ratio of two independent chi-squared distributions divided by their degrees of freedom, and we can use the inverse chi-squared distribution to find the value. Therefore, F0.99,25,21 = (1/χ2(0.01,21))/(1/χ2(0.99,25)) = 1.5014/0.6793 = 2.211, which is not one of the answer choices provided.

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Answer:

1.65x + 2.25y ≤ 15

Step-by-step explanation:

Strawberries = $1.65 per pound Raspberries = $2.25 per pound

Amount with Christine = $15

Let

pounds of strawberries = x

pounds of raspberries = y

PxQx + PyQy ≤ 15

1.65x + 2.25y ≤ 15

The inequality which represent the situation where she buys x pounds of strawberries and y pounds of raspberries is 1.65x + 2.25y ≤ 15

1.65x + 2.25y less than or equal to 15

Answer:

no

Step-by-step explanation:

test the numbers by plugging them into the equation

50 = (35) + 15
50 = 50 - this answer is correct

50 = 65 + 15
50 = 80 - this answer is incorrect

Edmund spent $63.50 on toys and $28 on new clothes, for a total cost of $91.50.

Edmund had $140 and he decided to spend some of that money on toys and some on new clothes. To calculate how much he spent altogether, we need to first figure out how much he spent on each item. For toys, he spent 3/7 of his total money, which is equal to $63.50. For new clothes, he spent 1/5 of his total money, which is equal to $28. Now that we know how much he spent on each item, we can add these two numbers together to figure out how much he spent altogether. When we add $63.50 and $28, we get a total of $91.50. This means that Edmund spent $91.50 on toys and new clothes altogether.

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Answer:

dbc

Step-by-step explanation:

thats the only one that is obtuse

Answer:

\(400\ cm^2\)

Step-by-step explanation:

1. Approach

The surface area of an object is the two-dimensional area around the object. If one was going to wrap the figure in paper, then the surface area would be the amount of paper one would need to cover the entirety of the object. To find the surface area of an object, calculate the area of each face of the object and then add up the results,

2. Find the area of each face

The area of all the rectangular faces can be found by using the formula to find the area of a rectangle, (\(length*width\)). Substitute in each of the values,

\(17*7=119\)

\(15*7=105\)

\(8*7=56\)

Now find the area of the triangular faces. This can be done by using the formula for the area of a triangle, (\(\frac{(length)*(width)}{2}\)). Substitute in the given values,

\(\frac{(15)*(8)}{2}=60\)

\(\frac{(15)*(8)}{2}=60\)

3. Find the total surface area

Now add up the values of the area for each of the faces of the prism,

\(119+105+56+60+60\)

\(=400\)

Your question was incomplete. Please refer below to find the table in the image.

We need to know about powers and indices to solve the problem. The value of nonzero number raised to the power of 0 is 1.

When a number is raised to a certain power, it can be simplified as the number is multiplied to itself the number of times as the power. For example if we write \(2^{3}\) we mean 2x2x2 which is 8. Similarly in this question we have to find the various powers of 9, the answer to \(9^{4}\) is given, we need to find for the powers 3,2,1, and finally 0.

\(9^{3}\)=9x9x9=729

\(9^{2}\)=9x9=81

\(9^{1}\)=9

\(9^{0}\)=1

When any nonzero number is raised to the power of zero the result is one.

Therefore we found out using the concept of powers and indices that the value of a nonzero number raised to the power of 0 is 1.

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1. Triangle jkl is congruent to triangle uvw, 2. Side lk corresponds to side vw, 3. Angle jlk corresponds to angle uvw. When we say that δjkl ≅ δuvw, it means that triangle jkl is congruent to triangle uvw.

Congruent triangles have corresponding sides and angles that are equal in measure. Therefore, side lk in triangle jkl corresponds to side vw in triangle uvw.

Similarly, if δuvw ≅ δabc, it implies that triangle uvw is congruent to triangle abc. Consequently, the corresponding parts of these triangles are equal. Hence, angle jlk in triangle jkl corresponds to angle uvw in triangle uvw.

In summary, the given information allows us to conclude that triangle jkl is congruent to triangle uvw. Side lk in triangle jkl corresponds to side vw in triangle uvw, and angle jlk in triangle jkl corresponds to angle uvw in triangle uvw. These congruences and corresponding parts help establish the relationships between the triangles and provide a framework for further analysis or geometric proofs.

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QUESTION:

Given that ΔJKL ≅ ΔUVW and ΔUVW ≅ ΔABC, complete the following statements.

Triangle JKL is congruent to triangle

Side LK corresponds to sides

Angle JLK corresponds to angles

Answer:

A

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

Here A = 16, b = AB = 8 and h = MN , then

\(\frac{1}{2}\) × 8 × MN = 16

4 × MN = 16 ( divide both sides by 4 )

MN = 4 cm → A

The area, in square inches, of a right triangle with a 24-inch leg and a 25-inch hypotenuse is 84 cm.

The area of a right triangle of base b and height h can be calculated using the formula 1/2 × b × h and its perimeter is obtained by just adding all the sides.

Length of one side of the right triangle (p) = 24-inch

Length of the hypotenuse of the right triangle (h) = 25-inch

Therefore, we can calculate the third side (b) of the triangle by applying the Pythagorean theorem

p² + b² = h²

24² + b² = 25²

b² = 625 - 576

b² = 49

b = 7 inch

Now, the area of the right triangle will be

= 1/2 × b × h

= 1/2 × 7 × 24

= 84 inch²

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There are 15 different 2-member committees that can be formed from the 6 members of the high school student council as per combination.

In mathematics, a combination is a way of selecting objects from a larger group without considering the order in which they are chosen. A combination is also known as a binomial coefficient or a choose function, and is denoted by the symbol "n choose k", where n is the total number of objects and k is the number of objects to be selected.

In mathematics, a permutation is an arrangement of objects in a specific order. The number of possible permutations of a set of n distinct objects is given by n!, which is the product of all positive integers up to n.

The number of different 2-member committees that can be formed from a group of 6 members is given by the combination formula:

C(6, 2) = 6! / (2! * (6 - 2)!) = 15

where C(n, r) represents the number of combinations of r items that can be selected from a group of n items.

Therefore, there are 15 different 2-member committees that can be formed from the 6 members of the high school student council to attend the rally in Washington D.C.

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Answer:

science makes you understand the world understand the living organisms understand electricity and understand chemical reactions which is one of the most important things to know in life

The solution is: Property values have decreased.

Explanation:

The Capitalization Rate (Cap Rate) is a measure in the Real Estate world that is used to indicate the rate of return that is to be generated on a real estate investment property.

It is calculated by,

Capitalization Rate = Net Operating Income / Current Market Value.

If Cap Rates are increasing then it would mean that either the numerator is increasing or the denominator is decreasing. The last option says that Property Values have decreased so that must be the correct option because as the denominator, if Property values decrease, Cap Rates increase.

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complete question:

The cap rate is an important metric that investors use to analyze the state of commercial real estate markets. When interpreting cap rate movements, an increase in cap rates over time would indicate that:

The discount rate used in TVM (time value of money) calculations has increased

The discount rate used in TVM (time value of money) calculations has decreased

Property values have increased

Property values have decreased

Answer:

Step-by-step explanation:

Answer:

This probably isn't much help but I got xy^5. It isn't on the multiple-choice but xy^6 is the closest to my answer so I would guess it's that.

step-by-step explanation:

Categorical variables, such as nominal and ordinal scales, are weaker than continuous variables, such as interval and ratio scales, in terms of the type of information statistics on them yield. Categorical variables only provide limited information and are not as precise as continuous variables. Categorical variables have weaknesses related to limited statistical analysis and potential loss of information, while continuous variables can be sensitive to outliers and require more advanced statistical techniques for analysis. Both types of variables provide valuable information but have limitations when analyzing statistics.

Let's discuss the relative weakness of categorical and continuous variables with respect to the type of information statistics on them yield.

Categorical variables are those that can be divided into categories, and they include nominal and ordinal scales. Nominal variables have no inherent order (e.g., hair color), while ordinal variables have a clear order (e.g., educational level).

Weakness:
1. Limited statistical analysis: Since categorical variables have no numerical value, certain statistical measures, such as mean and standard deviation, cannot be applied to them.
2. Loss of information: Categorical variables can sometimes oversimplify data, leading to a loss of information when grouping continuous data into categories.

Continuous variables are those that can take any value within a defined range, and they include interval and ratio scales. Interval variables have a constant distance between values but no absolute zero (e.g., temperature in Celsius), while ratio variables have a constant distance and an absolute zero (e.g., height).

Weakness:
1. Susceptibility to outliers: Continuous variables are more sensitive to extreme values (outliers), which can significantly affect the statistics derived from them, such as the mean.
2. Data complexity: Continuous variables often require more advanced statistical techniques for analysis, which may be challenging for those without a strong background in statistics.

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Step-by-step explanation:

as there are only 3 types of discontinuity overall : A, B and C.

there is no fourth, so D is out.

to check we use x = 2 in both equations and see, if and how the 2 connect or disconnect at that point.

5x + 4, x = 2

5×2 + 4 = 14

this is finite and a well-defined number.

2 - x, x = 2

2 - 2 = 0

this is again finite and well-defined.

but it is different from 14 above.

there is no multiplication factor or so that causes special values. so, there is no removable discontinuity. A is out.

none of the values at the point go to infinity, so there is no infinite discontinuity. B is out.

but yes, the functional value Suendenbock suddenly jumps at the point from 0 to 14 without any connection.

so, yes, it is a jump. C is right.

The tax consequences to Lucy associated with the collection of the account receivable is $7,000.

What is the cost price?

The cost price in retail systems represents the particular value that represents the unit price purchased. This value is utilized as a crucial aspect in calculating profitability, and it is employed in various stock market theories to determine the value of stock holdings.

Here, we have

Given: Lucy purchased a $100,000 account receivable for $90,000. During the current year, Lucy collected $97,000 from the account.

We have to find the tax consequences to Lucy associated with the collection of the account receivable.

Collected = $97,000

Purchase cost = $90,000

The amount collected more than Lucy’s basis in the receivable:

= $97,000 -  $90,000

= $7,000

Hence, the tax consequences to Lucy associated with the collection of the account receivable is $7,000.

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Answer:

i believe its 3t + 5 = -3.5