what does -y -2>with a line under it - 13 mean

Answer:

I got 226.08

Step-by-step explanation:

I don't know if your trying to find the nearest whole number

The length of SR to the nearest hundredth is approximately 13.12 units.

What is Pythagoras theorem?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

We can use the Pythagorean theorem to find the length of QR, which is the hypotenuse of right triangle PQR:

PQ² + QR² = PR²

Substituting in the given values:

(9+x)²+ QS² = 16²

We know that QS is the altitude from Q to PR, which means it is also the height of triangle PQR. We can use the area of triangle PQR to find the length of QS:

area of PQR = (1/2) * PQ * QS = (1/2) * 9 * QS

area of PQR = (1/2) * QR * QS = (1/2) * 16 * QS

Since the area of PQR is the same, we can set these two equations equal to each other and solve for QS:

(1/2) * 9 * QS = (1/2) * 16 * QS

9QS = 16QS

QS = (16/9) * x

Substituting this value for QS into the equation we set up earlier:

(9+x)²+ [(16/9)*x]²= 16²

Simplifying and solving for x:

81 + 18x + x²+ 256x²/81 = 256

x²+ 18x + 81 + 256x²/81 - 256 = 0

81x² + 1458x + 6561 + 20736x² - 20736(81) = 0

2889x² + 1458x - 127008 = 0

Using the quadratic formula:

x = (-b ± sqrt(b² - 4ac)) / 2a

where a = 2889, b = 1458, and c = -127008

x = (-1458 ± sqrt(1458² - 4(2889)(-127008))) / 2(2889)

x = (-1458 ± sqrt(5872034)) / 5778

x ≈ 13.12 or x ≈ -21.89

Since x represents a length, we take the positive value as our answer:

x ≈ 13.12

Therefore, the length of SR to the nearest hundredth is approximately 13.12units.

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Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.

To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:

      | A | B | S1 | S2 | S3 | S4 |   RHS

------------------------------------------

 Z    | -5 | -4 | 0  | 0  | 0  | 0  |    0

------------------------------------------

 S1   |  6 |  4 | 1  | 0  | 0  | 0  |   24

 S2   |  1 |  2 | 0  | 1  | 0  | 0  |    6

 S3   | -1 |  1 | 0  | 0  | 1  | 0  |    1

 S4   |  0 |  1 | 0  | 0  | 0  | 1  |    2

We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:

      |  A  |  B  |  S1  |  S2  |  S3  |  S4  |   RHS

------------------------------------------------------

 Z    |  0  | 1.8 | 0.2  | -1   | -0.4 |  0.4 | 19.2

------------------------------------------------------

 S1   |  0  |  0  |  0   | 1.5  | -1   |  1   |  3

 S2   |  1  |  0  | -0.5 |  0.5 |  0.5 | -0.5 | 1.5

 A    |  1  |  0  | 0.5  | -0.5 | -0.5 |  0.5 |  0.5

 S4   |  0  |  0  |  1   | -1   | -1   |  1   |  1

From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.

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Answer:

Its equals to 16m^12p^8

Step-by-step explanation:

Answer:

c = 6

a = 14

l = 28

t = 18

Step-by-step explanation:

Free throws are usually worth one point each. We can assign variables and use equations to link information between Adam, Cheryl, Laura, and Tom. Then, we can just substitute in our information and solve.

"Adam scored 8 more points than Cheryl"

a = c + 8

"Laura scored twice as many points as Adam"

l = 2a

"Tom scored 10 points less than Laura"

t = l - 10

"Together the four friends scored a total of 66 points"

a + c + l + t = 66

Now we substitute in our variables and solve from there (see attached image)

c = 6

a = 14

l = 28

t = 18

Answer:40

Step-by-step explanation:

look at the number of lions at 22 which should be one line after 20, if you use a ruler to connect that line to the best-fit green line you can find the answer 40 as the side on the number of hyenas (number 40) is directly aligned with the part of the green line you previously connectec

when you remove a negative sign you turn the symbol

so, the solution is D

Answer: please mark me brainliest

In 1 hour, the first train will have traveled 60 miles.

Let t be the time before the first train catches up to the second. Then:

60t+60=80t

20t=60

t=3 hours

Since the 2nd train leaves at 1:00, and travels 3 hours before catching up, he will catch the 1st train at 4:00 p.m. …………………

Step-by-step explanation:

Sequence and series are important to many of the real life situations like to make a decision based on predicting or evaluating the outcome of an event.

A sequence is simply a defined order of set of objects. If we know the order of this set, we can know any value of this sequence through proper formulas. For example, we can define the sequence of even numbers as the set (2, 4, 6, ....).

There are finite and infinite sequence based on the number of elements.

Series are the sum of the values of the sequence.

There are Arithmetic sequences and series as well as geometric sequences and series.

Arithmetic sequences are sequences where the difference of two consecutive terms are equal. The sum of the terms in this sequence is called arithmetic series.

Common applications of arithmetic sequences are to calculate simple interest and also to make estimation on how a certain thing will change in the future.

Geometric sequences are sequences where the ratio of two consecutive terms are equal. The sum of the terms in this sequence is called geometric series.

Common applications of geometric sequences are to calculate compound interest and also to make estimation on how a certain thing will change in the future.

Hence, sequences and series are quite important in our life.

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The area of the composite shape in this problem is given as follows:

22 square units.

The figure in the context of this problem is a composite figure, hence we obtain the area of the figure adding the areas of all the parts of the figure.

The figure for this problem is composed as follows:

Hence the area of the figure is given as follows:

A = 3 x 4 + 0.5 x 5 x 4

A = 22 square units.

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Answer:

30° and 60°

Step-by-step explanation:

Step 1: Write out equation

x + (x + 30) = 90

Step 2: Solve for x

2x + 30 = 90

2x = 60

x = 30

Step 3: Find other angle

90 - 30 = 60

Answer:

30 and 60

Step-by-step explanation:

Let x be one  angle

x+30 is the other angle

Complementary angles add to 90

x+ x+30 = 90

2x+30 = 90

Subtract 30 from each side

2x=90-30

2x= 60

Divide by 2

2x/2 = 60/2

x = 30

The angles are 30 and 30+30 = 60

The toys were sold in the 400th month.

Explanation: By solving the equation -0.625 |m-8| + 5 = 250, we find that the value of m is approximately 400. This means that in the 400th month, 250 toys were sold. The absolute value expression accounts for the steady increase and decrease in sales over several months, as represented by the function s(m) = -0.625 |m-8| + 5. The positive value of m indicates a forward progression of time, aligning with the concept of months.

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Answer:

-12

Step-by-step explanation:

Answer:

3x+4=-8

Step-by-step explanation:

times is multiplication

increase is addition

results is the equal sign

The gambler wins 1 with probability 18/38 or loses 1 with probability 20/38 on each bet. Let X be the amount of the gambler's profit and losses after playing the game 15 times. For the gambler to win a total of 5 before he or she quits, the gambler must win 10 times and lose 5 times.

Thus the probability that the gambler wins exactly 10 times out of 15 is given by the binomial distribution as follows: $$P(X = 10) = \binom \({15}{10}(18/38)^{10}(20/38)^{5}$$\) .

Therefore, the probability that the gambler plays exactly 15 times before winning a total of 5 is equal to the probability that the gambler wins exactly 10 times,

i.e.,$$P(\text {play 15 times}) = P(X = 10)$$$$P(\text \(= P(X = 10)$$$$P(\text\) {play 15 times}) \(= \ binom{15}{10}(18/38)^{10}(20/38)^{5}$$$$P(\text{play 15 times}) \approx 0.174$$\)Thus, the probability that the gambler plays exactly 15 times is approximately 0.174.

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Answer:

\(\begin{aligned} \textsf{(a)} \quad f(g(x))&=\boxed{x}\\g(f(x))&=\boxed{x}\end{aligned}\\\\\textsf{\;\;\;\;\;\;\;\;$f$ and $g$ are inverses of each other.}\)

\(\begin{aligned} \textsf{(b)} \quad f(g(x))&=\boxed{x}\\g(f(x))&=\boxed{x}\end{aligned}\\\\\textsf{\;\;\;\;\;\;\;\;$f$ and $g$ are inverses of each other.}\)

Step-by-step explanation:

Given functions:

\(\begin{cases}f(x)=-\dfrac{x}{2}\\\\g(x)=-2x\end{cases}\)

Evaluate the composite function f(g(x)):

\(\begin{aligned}f(g(x))&=f(-2x)\\\\&=-\dfrac{-2x}{2}\\\\&=x\end{aligned}\)

Evaluate the composite function g(f(x)):

\(\begin{aligned}g(f(x))&=g\left(-\dfrac{x}{2}\right)\\\\&=-2\left(-\dfrac{x}{2}\right)\\\\&=x\end{aligned}\)

The definition of inverse functions states that two functions, f and g, are inverses of each other if and only if their compositions yield the identity function, i.e. f(g(x)) = g(f(x)) = x.

Therefore, as f(g(x)) = g(f(x)) = x, then f and g are inverses of each other.

\(\hrulefill\)

Given functions:

\(\begin{cases}f(x)=2x+1\\\\g(x)=\dfrac{x-1}{2}\end{cases}\)

Evaluate the composite function f(g(x)):

\(\begin{aligned}f(g(x))&=f\left(\dfrac{x-1}{2}\right)\\\\&=2\left(\dfrac{x-1}{2}\right)+1\\\\&=(x-1)+1\\\\&=x\end{aligned}\)

Evaluate the composite function g(f(x)):

\(\begin{aligned}g(f(x))&=g(2x+1)\\\\&=\dfrac{(2x+1)-1}{2}\\\\&=\dfrac{2x}{2}\\\\&=x\end{aligned}\)

The definition of inverse functions states that two functions, f and g, are inverses of each other if and only if their compositions yield the identity function, i.e. f(g(x)) = g(f(x)) = x.

Therefore, as f(g(x)) = g(f(x)) = x, then f and g are inverses of each other.

Answer:

see explanation

Step-by-step explanation:

given f(x) and g(x)

if f(g(x)) = g(f(x)) = x

then f(x) and g(x) are inverses of each other

(a)

f(g(x))

= f(- 2x)

= - \(\frac{-2x}{2}\) ( cancel 2 on numerator/ denominator )

= x

g(f(x))

= g(- \(\frac{x}{2}\) )

= - 2 × - \(\frac{x}{2}\) ( cancel 2 on numerator/ denominator )

= x

since f(g(x)) = g(f(x)) = x

then f(x) and g(x) are inverses of each other

(b)

f(g(x))

= f(\(\frac{x-1}{2}\) )

= 2(\(\frac{x-1}{2}\) ) + 1

= x - 1 + 1

= x

g(f(x))

= g(2x + 1)

= \(\frac{2x+1-1}{2}\)

= \(\frac{2x}{2}\)

= x

since f(g(x)) = g(f(x)) = x

then f(x) and g(x) are inverses of each other

Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

The answers are a) H0: μ = 40, b) small sample size, c) t ≈ 2.402, d) the p-value for a two-tailed test with 12 degrees of freedom and a t-statistic of 2.402 is approximately 0.032 and e) we can conclude that the mean height of treated Begonias is significantly different from that reported in the journal.

(a) The null hypothesis states that the population mean height of treated Begonias, μ, is equal to the mean height reported in the journal, which is 40 centimeters.

H0: μ = 40

(b) Since the population standard deviation is unknown, we can use a t-test statistic for a small sample size.

(c) The test statistic for a two-sample t-test is calculated using the formula:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

In this case:

sample mean = 48

hypothesized mean = 40

sample standard deviation = 11

sample size = 13

t = (48 - 40) / (11 / √(13))

t ≈ 2.402

(d) To find the p-value, we need to compare the test statistic to the t-distribution with (n - 1) degrees of freedom, where n is the sample size.

In this case, we have 13 - 1 = 12 degrees of freedom.

Using a t-table, we find that the p-value for a two-tailed test with 12 degrees of freedom and a t-statistic of 2.402 is approximately 0.032.

(e) Since the p-value (0.032) is less than the significance level of 0.05, we reject the null hypothesis.

Therefore, we can conclude that the mean height of treated Begonias is significantly different from that reported in the journal.

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Answer:

They are equivalent

Step-by-step explanation:

-4(3)= -12 -8 = -20

-2 (3+1)= -6-2 = -8

-2(3+3)= -6-6 = -12 -8+-12=-20

both equal -20.

Answer:

-20 -20

Step-by-step explanation:

The options that allow for the construction of a triangle are:

Option B: A triangle with side lengths 4 cm, 5 cm, and 8 cm.

To determine if it is possible to construct a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's evaluate each option:

A. A triangle with angle measures 30, 40, and 100 degrees.

This option does not provide any side lengths, so we cannot determine if it satisfies the triangle inequality theorem. Insufficient information.

B. A triangle with side lengths 4 cm, 5 cm, and 8 cm.

We can apply the triangle inequality theorem to this option:

4 cm + 5 cm > 8 cm (True)

5 cm + 8 cm > 4 cm (True)

4 cm + 8 cm > 5 cm (True)

This set of side lengths satisfies the triangle inequality theorem, so it is possible to construct a triangle.

C. A triangle with side lengths 4 cm and 5 cm, and a 50-degree angle.

We don't have the length of the third side, so we cannot determine if it satisfies the triangle inequality theorem. Insufficient information.

D. A triangle with side lengths 4 cm, 5 cm, and 12 cm.

Applying the triangle inequality theorem:

4 cm + 5 cm > 12 cm (False)

5 cm + 12 cm > 4 cm (True)

4 cm + 12 cm > 5 cm (True)

Since the sum of the lengths of the two smaller sides (4 cm and 5 cm) is not greater than the length of the longest side (12 cm), it is not possible to construct a triangle with these side lengths.

E. A triangle with angle measures 40, 60, and 80 degrees.

This option does not provide any side lengths, so we cannot determine if it satisfies the triangle inequality theorem. Insufficient information.

Based on the analysis, the options that allow for the construction of a triangle are:

Option B: A triangle with side lengths 4 cm, 5 cm, and 8 cm.

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The probability that a randomly chosen subject comples more than the expected number of puzzles in the five minute is equals to the 0.40. So, option (b) is right one.

We have a Random variables X denotes the number of puzzles complete by random choosen subject. The above table contains probability distribution of random variable X. The expected number of puzzles in the 5-minutes period while listening to smoothing music is calculated by following formula, \(E(x) = \sum x_i p(x_i)\)

= 1(0.2) + 2(0.4) + 3(0.3) + 4(0.1)

= 0.2+ 0.8+ 0.9+ 0.4

= 2.3

Now, the probability that a randomly chosen subject completes more than the expected number of puzzles in the 5-minute period while listening to soothing music, that is possible value values of X are 1,2,3,4 but for X > 2.3 only 3 and 4. So, P(X>2.3)= P(X=3) + P(X=4)

=0.30+ 0.10=0.40

Hence, required value is 0.40.

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Complete question:

The above table complete the question

what is the probability that a randomly chosen subject comples more than the expected number of puzzles in the five minute period while losing music

a. 0.1

b. 0.4

c. 0.8

d. 1

e. Cannot be determined

The porcelain pot is fired at 2552 degrees Fahrenheit.

The temperature at which porcelain pot is fired will be calculated firstly by forming the equation. Then we will perform mathematical operations as per the PEMDAS rule. Let us assume the temperature be t.

Forming and representing the equation with respect to t

t = 2×1409 - 266

Firstly performing multiplication on Right Hand Side of the equation to find the value of t

t = 2818 - 266

Now performing subtraction on Right Hand Side of the equation to find the value of t

t = 2552 degrees Fahrenheit

Hence, the temperature of porcelain pot based on the given information is 2552 degrees Fahrenheit.

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Answer:

yoooooooooooooooooooooooooooooooooooooooo

wait its not loading

Step-by-step explanation:

Answer:

Step-by-step explanation:

The height of the conical bottle is 16 cm.

Let's denote the height of the conical bottle as h.

When the bottle is in its regular position, with the base resting on the flat surface, the water level is 8 cm from the vertex. This means that the distance from the water level to the base is 8 cm.

When the bottle is turned upside down, the water level is 2 cm from the base. In this position, the distance from the water level to the vertex is h - 2 cm.

We can set up a proportion based on the similar triangles formed by the original and inverted positions of the bottle:

(h - 2) / 8 = h / (h - 8)

To solve this proportion, we can cross-multiply:

(h - 2)(h - 8) = 8h

Expanding the equation:

h^2 - 10h + 16 = 8h

Rearranging the terms:

h^2 - 18h + 16 = 0

Now we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. In this case, let's use factoring:

(h - 2)(h - 16) = 0

This equation has two possible solutions:

h - 2 = 0 --> h = 2

h - 16 = 0 --> h = 16

Since the height of the bottle cannot be 2 cm (as the water level would be at the base), the height of the bottle must be 16 cm.

Consequently, the conical bottle has a height of 16 cm.

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The probability that at least one of the 5 systems will detect the theft when it occurs is what the bank is interested in. To find this probability, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring.

Let A be the event that at least one of the 5 alarm systems detects the theft. The complement of A is the event that none of the 5 systems detects the theft, which we will denote by A'.Since each system detects the theft with a probability of 0.88, the probability that any one system does not detect the theft is 1 - 0.88 = 0.12.

Therefore, the probability that none of the 5 systems detect the theft is: P(A') = (0.12)⁵ = 0.00005376Using the complement rule, we can find the probability that at least one of the 5 systems will detect the theft: P(A) = 1 - P(A') = 1 - 0.00005376 = 0.99994624Therefore, the probability that when a theft occurs, at least one of the 5 systems will detect it is approximately 0.99995 when rounded to 5 decimal places.

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The coach bought 36 sports drinks for her team. The equation that represents the relationship between the variables is:    Number of sports drinks * Price per sports drink = Total cost$3 * Number of sports drinks = $108

The total cost based on the number of drinks purchased is shown in the table and it is $108.We need to find how many sports drinks did the coach buy. We can create an equation to represent the relationship between the variables.

Let us look at the table.

Number of sports drinks  4    6   8    10

Total cost ($)                     12  18  24  30

the total cost for a single drink, we can divide the Total cost by the Number of sports drinks.

Total cost / Number of sports drinks ($) = 3

We can see that the price of each sports drink is $3.

Using this, we can form an equation to represent the relationship between the variables.

Number of sports drinks * Price per sports drink = Total cost$3 * Number of sports drinks = $108

Number of sports drinks = $108 / $3Number of sports drinks = 36

Therefore, the coach bought 36 sports drinks for her team. The equation that represents the relationship between the variables is:

Number of sports drinks * Price per sports drink = Total cost$3 * Number of sports drinks = $108

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Answer:

m= -5x+6y all over k

Step-by-step explanation:

first, move over 5x to get -5x+6y. then divide it by k and thats your answer.

Answer:

m=6y/k - 5x/k

Step-by-step explanation:

Isolate the variable by dividing each side by factors that dont contain the variable

Answer:

∠ QPR = 56°

Step-by-step explanation:

Δ RST is isosceles ( 2 congruent sides ) , then base angles are congruent

∠ SRT = \(\frac{180-44}{2}\) = \(\frac{136}{2}\) = 68°

∠ PRQ and ∠ SRT are vertically opposite angles and are congruent , so

∠ PRQ = 68°

Δ PRQ is isosceles ( 2 congruent sides ), then base angles are congruent , so

∠ QPR = \(\frac{180-68}{2}\) = \(\frac{112}{2}\) = 56°

=====================================================

Explanation:

Triangle TRS is isosceles due to the sides TR and TS being congruent.

Let x be the measure of angle R of triangle TRS. It's also the measure of angle S. The base angles of any isosceles triangle are the same.

Add up the three angles of triangle TRS. Set the sum equal to 180. Solve for x.

T+R+S = 180

44+x+x = 180

44+2x = 180

2x = 180-44

2x = 136

x = 136/2

x = 68

This means angle TRS is 68 degrees.

Subsequently, it also means angle QRP is 68 degrees as well. These two angles are congruent vertical angles.

----------------------

Now focus on triangle PQR. This triangle is also isosceles.

We have the following interior angles

So,

P+Q+R = 180

y+y+68 = 180

2y+68 = 180

2y = 180-68

2y = 112

y = 112/2

y = 56 is the measure of angle QPR

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

W (-3,-5) and T (2,-2)

The distance between them is

\( |WT| = \sqrt{ ({ - 3 - 2})^{2} + ( { - 5 + 2})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 3})^{2} } \: \: \: \\ = \sqrt{25 + 9} \\ = \sqrt{34} \: \: \: \: \: \: \: \: \\ = 5.830951\)

We have the final answer as

Hope this helps you

Answer:

√34

Step-by-step explanation:

\(W (-3,-5) =(x_1,y_1)\\T (2,-2)=(x_2,y_2)\\\\d = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d=\sqrt{\left(2-\left(-3\right)\right)^2+\left(-2-\left(-5\right)\right)^2}\\\\d=\sqrt{\left(2+3\right)^2+\left(-2+5\right)^2}\\\\d=\sqrt{5^2+3^2}\\\\d=\sqrt{25+9}\\\\d=\sqrt{34}\)