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Answer:

m<TSU = 65

Step-by-step explanation:

As one can see, the measure of angle (RST) is (90) degrees. This is indicated by the box around the angle. As a general rule, when there is a box around an angle, the angle measure if (90) degrees. It is also given that the measure of angle (RSU) is (25) degrees. As per the given diagram, the sum of the measures of angles (RSU) and (UST) is (RST). Therefore, one can form an equation and solve for the measure of angle (UST).

(RSU) + (UST) + (RST)

Substitute,

25 + (UST) = 90

Inverse operations,

25 + (UST) = 90

UST = 65

(<UST) is another way of naming angle (TSU).

Answer:

∠ TSU = 65°

Step-by-step explanation:

∠ RST = 90°

∠ RSU + ∠TSU = ∠ RST , that is

25° + ∠ TSU = 90° ( subtract 25° from both sides )

∠ TSU = 65°

Answer:

a=$10

c=$3

Step-by-step explanation:

Step one:

given data

let adults tickets be a

and child tickets be c

so

Roy's purchase

6a+2c=66------1

Elisa's purchase

5a+4c=62-------2

Hence,  the system of equations

6a+2c=66------1

5a+4c=62-------2

solving simultaneously

6a+2c=66------1 x2

5a+4c=62-------2 x1

  12a+4c=132

 -5a+4c=62

   7a=70

divide both sides by 7

a=$10

put  a=70 in 1

6(10)+2c=66------1

60+2c=66

2c=66-60

2c=6

c=$3

Answer:

first answer is right trust that one.

Step-by-step explanation:

The value of (AB)² is 15.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius. Two circles can be called congruent if they have the same radius. Equal chords are always equidistant from the center of the circle. The perpendicular bisector of a chord passes through the center of the circle. When two circles intersect, the line connecting the intersecting points will be perpendicular to the line connecting their center points. Tangents drawn at the endpoints of the diameter are parallel to each other.

Equation of first circle:

(x - 2)² + (y + 1)² = 4²

Equation of secnd circle:

(x - 2)² + (y - 5)² = (√10)²

Solve for (x - 2)² :

(x - 2)² + (y + 1)² = 4²   ==>   (x - 2)² = 16 - (y + 1)²

(x - 2)² + (y - 5)² = (√10)²   ==>   (x - 2)² = 10 - (y - 5)²

Then,

16 - (y + 1)² = 10 - (y - 5)²

16 - (y ² + 2y + 1) = 10 - (y ² - 10y + 25)

15 - 2y - y ² = -15 + 10y - y ²

30 - 12y = 0

12y = 30

y = 30/12 = 5/2

Thus, the y coordinate of A and B is 5/2.

Then solve for x :

(x - 2)² = 16 - (5/2 + 1)²

(x - 2)² = 15/4

x - 2 = ± √(15/4) = ±√15/2

x = 2 ± √15/2

Thus, the x coordinates for either A or B are 2 +√15/2 or 2- √15/2.

The intersections points are A = (2 - √15/2, 5/2) and B = (2 + √15/2, 5/2). Thus, the squared distance between them:

(AB)² = [(2 - √15/2) - (2 + √15/2)]² + (5/2 - 5/2)²

(AB)² = (-√15)² + 0²

(AB)² = 15

Thus, the value of (AB)² is 15.

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Ways can n identical balls be distributed into r bins such that each bin contains at least two balls are 20 ways.

1 ball in each of 3 boxes: 4 ways

3 balls in one box: 4 ways

2 balls in one box and 1 ball in another box: 3*4=12 ways

There are 20 ways to arrange the balls .

In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

The combination can also be represented as: –nCr, nCr, C(n,r), Crn

Proof:

nPr = nCr.r!

= [n!/r!(n-r)!].r!

= n!/(n-r)!

Hence the theorem states true.

A permutation is an act of arranging objects or numbers in order. Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.

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Answer:

The answers are A and D

Step-by-step explanation:

2/6 simplified is 1/3 and none of the other choices are equal to 1/3, so the answers are A and D.

Answer:

(x,y) --> (-x,-y)

Step-by-step explanation:

Let me know if that's what your looking for.

The minimal value of s = x^2 y^2 is 5/3, and it is achieved when:
x = ±(3/5)^(1/2)
y = ±(2/5)^(1/2)

To solve this problem, we can use the method of Lagrange multipliers. Let's define the Lagrangian function L(x,y,λ) as follows:
L(x,y,λ) = x^2 y^2 + λ(3x + 4y - 25)

where λ is the Lagrange multiplier.

To find the minimal value of s = x^2 y^2, we need to solve the following system of equations:
∂L/∂x = 2xy^2 + 3λ = 0
∂L/∂y = 2x^2y + 4λ = 0
∂L/∂λ = 3x + 4y - 25 = 0

Solving the first two equations for x and y, we get:
x = -3λ/2y^2
y = -2λ/4x^2

Substituting these expressions into the third equation, we get:
3(-3λ/2y^2) + 4(-2λ/4x^2) - 25 = 0

Simplifying this equation, we get:
-9λ/y^2 - 2λ/x^2 - 25 = 0

Multiplying both sides by x^2 y^2, we get:
-9λx^2 - 2λy^2 + 25x^2 y^2 = 0

Dividing both sides by λ, we get:
-9x^2/y^2 - 2y^2/x^2 + 25x^2 y^2/λ^2 = 0

This equation can be simplified to:
-9x^4 - 2y^4 + 25s/λ^2 = 0

where s = x^2 y^2.

We can now solve for λ in terms of s:
λ^2 = 25s/(9x^4 + 2y^4)

Substituting this expression for λ into the equations for x and y, we get:
x = ±(3s/5)^(1/4)
y = ±(2s/5)^(1/4)

Note that we have four possible solutions, corresponding to the four possible combinations of signs for x and y.

To find the minimal value of s, we need to evaluate s for each of these solutions and choose the smallest one. We get:

s = x^2 y^2 = (3s/5)^(1/2) (2s/5)^(1/2) = (6s/25)^(1/2)

This equation can be simplified to:
s = 5/3

Therefore, the minimal value of s = x^2 y^2 is 5/3, and it is achieved when:
x = ±(3/5)^(1/2)
y = ±(2/5)^(1/2)

Note that these values satisfy the constraint equation 3x + 4y - 25 = 0.

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Answer:

A

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{(m-n)}\)

to find how many times larger 9 × \(10^{7}\) is than 3 × 10³, divide , that is

(9 × \(10^{7}\) ) ÷ (3 × 10³)

= \(\frac{9}{3}\) × \(\frac{10^7}{10^3}\)

= 3 × \(10^{(7-3)}\)

= 3 × \(10^{4}\)

 a) 68% of the students spend between 10.2 hours and 15.8 hours on Statistics each week.
b) 95% of the students spend between 7.4 hours and 18.6 hours on Statistics each week.
c) 99.7% of the students spend between 4.6 hours and 21.4 hours on Statistics each week.

a) To find the range of study hours for 68% of the students, we can use the Empirical Rule. According to the Empirical Rule, for a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean.
Mean: 13 hours
Standard Deviation: 2.8 hours
Thus, for 68% of the students, the study hours will fall between:
Mean - 1 standard deviation = 13 - 2.8 = 10.2 hours
Mean + 1 standard deviation = 13 + 2.8 = 15.8 hours
Therefore, 68% of the students spend between 10.2 hours and 15.8 hours on Statistics each week.
b) Similarly, to find the range of study hours for 95% of the students, we can use the Empirical Rule. According to the Empirical Rule, approximately 95% of the data falls within two standard deviations of the mean.
Mean: 13 hours
Standard Deviation: 2.8 hours
Thus, for 95% of the students, the study hours will fall between:
Mean - 2 standard deviations = 13 - 2(2.8) = 7.4 hours
Mean + 2 standard deviations = 13 + 2(2.8) = 18.6 hours
Therefore, 95% of the students spend between 7.4 hours and 18.6 hours on Statistics each week.
c) To find the range of study hours for 99.7% of the students, we can use the Empirical Rule. According to the Empirical Rule, approximately 99.7% of the data falls within three standard deviations of the mean.
Mean: 13 hours
Standard Deviation: 2.8 hours
Thus, for 99.7% of the students, the study hours will fall between:
Mean - 3 standard deviations = 13 - 3(2.8) = 4.6 hours
Mean + 3 standard deviations = 13 + 3(2.8) = 21.4 hoursStandard
Therefore, 99.7% of the students spend between 4.6 hours and 21.4 hours on Statistics each week.

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 the complete question is:

 For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 24 students, and the distribution of total study hours per week is bell-shaped with a mean of 13 hours and a standard deviation of 2.8 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between hours and hours on Statistics each week. b) 95% of the students spend between hours and hours on Statistics each week. c) 99.7% of the students spend between hours and hours on Statistics each week.

Solution:

As you can see in the diagram, there are two triangles. We will separate the two triangles into the smaller and the bigger one.

For the smaller triangle:

Now we will use the Pythagorean Theorem. The theorem states that the square of the longest side is equal to the sum of the squares of the two other sides.

To solve for the value of b, we will have:

For the bigger triangle:

We will also use the pythagorean theorem to find the value of c and by using the value of b we got from the smaller triangle.

ANSWER:

b = 4 cm

c = 7.2 cm

Answer:

No

Step-by-step explanation:

If you look at the first numbers, 1 and 3, we can see that 1 is being multiplied by 3 to get 3.

But if you look at the second numbers, 2 and 4, then you can see that 2 is not being multiplied by 3 to get 4.

Therefore, it is not proportional.

The total weight of their strawberries is 47.5 pounds. The solution has been obtained by using unit conversion.

What is unit conversion?

The same feature can be expressed in a different unit of measurement via a unit conversion. Minutes might be used to convey time instead of hours, and feet could be used to express distance in place of miles. Measurements are commonly delivered in feet even though they are requested in another set of units, such as chains.

We are given that Chad and Ramos picked strawberries all morning and at the end of the morning they combined their strawberries.

Chad had 22.5 pounds of strawberries and Ramos had 400 ounces.

We know that 1 pound = 16 ounces.

So, 1 ounce = 1/16 pounds

Similarly,

⇒400 ounces = 400/16 pounds

⇒400 ounces = 25 pounds

Now, total weight of strawberries = 22.5 + 25 = 47.5 pounds

Hence, the total weight of their strawberries is 47.5 pounds.

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Answer:

{3, -2, -1}

Step-by-step explanation:

Since this is a quadratic equation in standard form, we can immediately pick out the coefficients of the x terms:  {3, -2, -1}

Bristol's next minimum monthly payment is $171.97

How was the minimum monthly payment of $146.52 computed?

The minimum monthly payment of $146.52 was computed from the current statement balance as 3.5% of $4,186.19

minimum monthly payment=$4,186.19*3.5%

minimum monthly payment=$146.52

The balance at the beginning next month is current statement balance minus the minimum monthly payment plus purchases of $750.00 and the interest for the month

beginning balance next month before interest=($4,186.19-$146.52)+ $750.00

beginning balance next month before interest=$4,789.67

beginning balance next month after interest=$4,789.67*(1+30.99%/12)

beginning balance next month after interest=$4,913.36

Bristol's next minimum monthly payment=3.5%*$4,913.36

Bristol's next minimum monthly payment=$ 171.97

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Answer:

Talking 65 minutes, $ 6.50 must be paid.  

Step-by-step explanation:

Since your cell phone plan is by the minute, and each minute of use cost $ 0.10, to create a relation that represents the amount spent, A, per minute, m, of call time, and then use the relation to find the amount spent if you talk 65 minutes, the following calculations must be performed:

0.10 x M = A

0.10 x 65 = A

6.50 = A

Answer:

Annie will have $87.75 more than Ellie

Step-by-step explanation:

Annie :

2500(.024)7

Multiply all 3 together to get the answer

2500 x .024 x 7=  420

Ellie :

2500(.019)7

Multiply all three together to get the answer

2500 x .019 x 7 = 332.50

Answer:

332.50

Step-by-step explanation:

Answer:

x ∈ (0,75; +∞) and x∈ (1; +∞)

Step-by-step explanation:

1) 3 - 4x < 0

-4x < -3 / : (-4)

x > 0,75

x ∈ (0,75; +∞)

2) 2x - 4 > -2

2x > -2 + 4

2x > 2 / : 2

x > 1

x∈ (1; +∞)

Answer:

i don't know why (ii) question is asked because the answers is in the question..

Step-by-step explanation:

i hope this is helpful...

if it is then pls mark my answer as brainliest

Answer:

(7x + 5)(- x - 11)

Step-by-step explanation:

9(x - 1)² - 16(x + 2)² ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

9(x - 1)² - 16(x + 2)²

= [ 3(x - 1) ]² - [4(x + 2) ]² with a = 3(x - 1) and b = 4(x + 2)

= [ 3(x - 1) + 4(x + 2) ] [ 3(x - 1) - 4(x + 2) ] ← distribute parenthesis

= [ 3x - 3 + 4x + 8 ] [ 3x - 3 - 4x - 8 ]

= (7x + 5)(- x - 11 )

Answer:

r= 15 yd means that if they give you an equation in that question with r you plug in 15 for r.

The UCR (Uniform Crime Reporting) is B. not a truly reliable measure.

The UCR is a program established by the FBI in 1930 to collect and analyze crime statistics from law enforcement agencies across the United States. Although it provides useful data and insights into crime trends, it is not without its limitations. One significant issue with the UCR is that it relies on voluntary reporting from law enforcement agencies, meaning that some areas may not provide complete or accurate data. This can lead to an underrepresentation of certain crimes or inconsistencies in reporting across jurisdictions.

Another limitation is that the UCR only includes reported crimes, excluding any unreported criminal activity. This means that the data does not necessarily provide a comprehensive picture of all crimes occurring in a given area. Additionally, the UCR uses a hierarchy rule, meaning that if multiple crimes are committed during a single incident, only the most severe crime is counted. This can result in an undercounting of less severe but still significant crimes.

In summary, although the UCR provides valuable information on crime trends and patterns, it is not a truly reliable measure due to its reliance on voluntary reporting, exclusion of unreported crimes, and hierarchy rule. Therefore, the correct option is B.

The question was incomplete, Find the full content below:

it is fair to say that the ucr is: group of answer choices

A. A mutually exclusive measure

B. Not a truly reliable measure

C. An exhaustive measure

D. All of the above

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Answer:

Step-by-step explanation:

gas mileage = miles covered/gallons used

but:

miles covered = \(35\frac{1}{2}\)

                        = 35.5

gallons used     = 1\(\frac{1}{2}\)

                           = 1.5

gas mileage = 35.5/1.5

gas mileage = 23.667 miles/gallon (to 3 decimal places)

gas mileage = miles covered/gallons used

but:

miles covered = \(27\frac{1}{5}\)

                        = 27.2

gallons used     = \(\frac{4}{5}\)

                         = 0.8

gas mileage = 27.2/0.8

gas mileage = 34 miles/gallon

c)

gas mileage of blue: 23.667 miles/gallon implies the blue car will travel 23.667 miles on 1 gallon

gas mileage of silver: 34 miles/gallon implies the silver car will travel 34 miles on 1 gallon

Hence the silver car would travel a greater distance on 1 gallon than the blue car.

Answer:

82%

Step-by-step explanation:

A percent a fraction of one hundred so multiply the numbers by 2 to make it 82/100 then remove the one hundred making it 82%

The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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Answer:

672

Step-by-step explanation:

because im smart and youre not

Answer:

Divide

Step-by-step explanation:

Divide 24 into how many friends there are.

Answer:

8 * 3 = 24

Step-by-step explanation:

Answer:

220 student all together im not sure

Step-by-step explanation:

Answer:

$10.13

Step-by-step explanation:

Take the total and subtract the tax:

34-3.6 = 30.40

Take that answer and divide by 3

Answer:

18 / 19

Step-by-step explanation:

Divide it by 2

Enantiomer A represents 82.5% of the mixture, while enantiomer B represents 17.5%.

Enantiomeric excess (ee) is a measure of the difference in concentration between two enantiomers in a mixture. It is expressed as a percentage. In this case, the given 65% ee represents that one enantiomer is present in excess, while the other is present in a lower amount.
To calculate the percentage of each enantiomer, we need to consider the relationship between the enantiomeric excess and the individual enantiomer concentrations. Let's denote %A as the percentage of the excess enantiomer and %B as the percentage of the other enantiomer.
Given that %A + %B = 100% (since they represent the total composition of the mixture), and %A - %B = 65% ee, we can solve these equations simultaneously.
Adding the two equations together, we get:
2%A = 100% + 65% ee
Dividing both sides by 2, we find:
%A = (100% + 65% ee) / 2
Substituting the given 65% ee value into the equation, we can calculate the percentage of the excess enantiomer:
%A = (100% + 65%) / 2 = 82.5%
Since %A represents the excess enantiomer, %B can be obtained by subtracting %A from 100%:
%B = 100% - %A = 100% - 82.5% = 17.5%
Therefore, based on the given 65% ee, the percentage of the excess enantiomer (%A) is 82.5%, while the percentage of the other enantiomer (%B) is 17.5%.

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