In STU, t = 34 cm, u = 16 cm and _S=56°. Find the length of s, to the nearest centimeter.

Answer:

104

Step-by-step explanation:

f(x)=4(13)2x

f(x)= 104x

f(1)=104(1)

f(1)=104

hope it helps

Answer:

16

Step-by-step explanation:

(x-8)^2 + (y-4)^2= 16

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Mean (X + Y) = Mean (X) + Mean (Y).

The above statement is false.

Discrete Random Variable:

A discrete random variable can be defined as a type of variable whose value depends on the numerical outcome of some random phenomenon. Also called a random variable. Discrete random variables are always easily countable integers. A probability mass function is used to describe the probability distribution of a discrete random variable.

Probability Distributions of Discrete Random Variables:

Probability distributions of discrete random variables list the probabilities associated with each possible outcome. Also called probability function or probability mass function.

The probability of a discrete random variable is between 0 and 1. Also, the sum of the probabilities of a discrete random variable is equal to 1. The probability distribution of discrete random variables resembles the normal distribution.

Example:

Suppose two dice are rolled and a random variable X is used to represent the sum of the numbers. The minimum value of X goes from result 1 + 1 = 2 to 2 and the maximum value goes from result 6 + 6 = 12 to 12. Therefore, X can have any value between 2 and 12 (inclusive). If probabilities are assigned to each outcome, we can determine the probability distribution of X.

Discrete random variables should not be confused with algebraic variables. Algebraic variables represent the values ​​of unknown quantities in computable algebraic equations. However, a discrete random variable can have a range of possible values ​​that result from experimentation.

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Answer:

The answer is: B. 4(x+2)(x-2)

Step-by-step explanation:

Just had this on a test, got it right!

The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:

Write the dividend and divisor in polynomial long division format:

_________________________

x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...

Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).

Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).

Subtract the result obtained in step 3 from the original dividend:

x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...

Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.

Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.

-3x^(2n-2) + 0x^(2n-3) + ... = -80

Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.

This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:

2n-2 = 0

2n = 2

n = 1

Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

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Answer:

x=14.42192

Step-by-step explanation:

Angle A = 180 - 86 =94

The sum of the angles of a triangle is 180

sin A        sin 46

------- = -----------

20            x

sin 94 * x = 20 sin 46

x = 20 sin 46 / sin 94

x=14.42192

Answer:

1. 0.30

2.4 over 20

3. x is greater than 1.5

4. 19.2

5. 468.11

Step-by-step explanation:

1) 1.4m = 0.42.

Divide both sides by 1.4

1.4m/1.4 = 0.42/1.4

m = 0.30

2) 13/20=j+9/20

Flip equation

j + 9/20 = 13/20

Substract 9/20 from both sides

j + 9/20 - 9/20 = 13/20 - 9/20

j = 13 - 9/20

j = 4/20

3) x − 1.3 = 1.5?

Add 1.3 to both sides

x - 1.3 + 1.3 = 1.5 + 1.3

x = 2.8

So, x is greater than 1.5

4) x/6 + 0.4 =3 + 0.6

Substract 0.4 from both sides

x/6 + 0.4 - 0.4 = 3 + 0.6 -0.4

x/6 = 3 + 0.2

x/6 = 3.2

Multiply both sides by 6

x/6 • 6 = 3.2 • 6

x = 19.2

5) k − 173.54 = 294.57.

Add 173.54 to both sides

k - 173.54 + 173.54 = 294.57 + 173.54

k = 468.11

The value of m from the given equation is 0.3.

The given equation is 1.4m = 0.42.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

1) 1.4m = 0.42

⇒ m = 0.42/1.4

⇒ m = 0.3

2) 13/20 = j+9/20

⇒ j = 13/20 - 9/20

⇒ j = 4/20

⇒ j = 1/5

3) x - 1.3 = 1.5

⇒ x = 1.5 + 1.3

⇒ x = 2.8

4) x/6 + 4/10 = 3 + 6/10

⇒ x/6+0.4=3.6

⇒ x/6 = 3.2

⇒ x = 19.2

5) k − 173.54 = 294.57

⇒ k = 294.57+173.54

⇒ k = 468.11

Therefore, the value of m from the given equation is 0.3.

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Answer:

answer A= 2  answer b = 11

Step-by-step explanation:

my teachers said cancel out the negatives

\(\left( \cfrac{-5x^2}{y^3} \right)^{\underline{2}}\implies \left( \cfrac{(-5)^{\underline{2}}x^{2\cdot \underline{2}}}{y^{3\cdot \underline{2}}} \right)\implies \cfrac{(-5)(-5)x^4}{y^6}\implies \cfrac{25 x^4}{y^6}\)

Step-by-step explanation:

To compare the two amounts of fabric, we need to express them with a common denominator:

15/2 = 30/4

7 1/2 = 15/2

Now we can compare the two amounts:

30/4 > 15/2

This is true because 30/4 is equal to 7.5 yards, which is greater than 7.5 yards (or 15/2 yards) of silver fabric.

Therefore, Ms. Thompson needs more red fabric than silver fabric.

Answer:

Step-by-step explanation:

Change in one year:

Change after 5 years:

Answer:

5 times

Step-by-step explanation:

Because he enters through the front door.

Answer:270

Step-by-step explanation:3/5 * 450  reduce the lowest term 3 * 90  calculate first two terms : 270

This value is approximate.

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

Explanation:

Let's convert x = 30 to its corresponding z score

z = (x-mu)/sigma

z = (30-63)/11

z = -33/11

z = -3

This score is 3 standard deviations below the mean.

Repeat for x = 52

z = (x-mu)/sigma

z = (52-63)/11

z = -11/11

z = -1

This score is 1 standard deviation below the mean.

The task of finding P(30 < x < 52) is the same as P(-3 < z < -1)

We converted to z scores so we could use the Empirical Rule.

Refer to the chart below. We'll be focusing on the left green portion that is between z = -3 and z = -2 and the left blue portion which is between z = -2 and z = -1.

Those two approximate areas add to:  (2.35%) + (13.5%) = 15.85%

The line segment FG represent the volume of water decreases in Katherine's water bottle.

From the given graph, x-axis represents the distance from home (km) and the y-axis represents the volume (L).

The line segment FG represent the volume of water decreases in Katherine's water bottle, the line segment HI represent the volume of water increases in Katherine's water bottle and the line segment KL represents there is no change in water level.

Therefore, the line segment FG represent the volume of water decreases in Katherine's water bottle.

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Answer:

Step-by-step explanation:

Graphed is the system of inequalities

The solution of the system is the darker shaded area

Only one of the given points falls to same area:

the one of the given point falls to same area ;

Using the addition rule with different signs, we know that the resultant answer will have the same sign.

A general example to help you recognize patterns:

Adding Integers:

Subtracting Integers:

Therefore, using the addition rule with different signs, we know that the resultant answer will have the same sign.

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The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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The area of the irregular shape is found as 50 sq. cm.

For the given question;

The irregular shape is composed of two rectangles.

The formula for finding the area is;

Area =  length x breadth

The area of the top rectangle is;

Top area = 4 x (3 + 5 + 2)

Top area = 4 x 10

Top area = 40 sq. cm.

The area of the bottom rectangle is;

Bottom area = 5 x 2

Bottom area = 10 sq. cm.

Total area = Top area + Bottom area

Total area = 40 + 10

Total area = 50 sq. cm.

Thus, the area of the irregular shape is found as 50 sq. cm.

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Answer:

133,860

Step-by-step explanation:

The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".

* No we have our key elements:

- Starting amount = 145,500

- Rate of change = 8%

* We will get the "8%" of the number 145,500

- Firstly, "8%" means 8/100

- So, 0.08 will be our new rate of change.

* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.

- 145,500 × 0.08 = 133,860 ; the same as

145,500 × 8/100 = 133,860

The bearing form the cliff to the island is 58.09 degrees

Information from the question

A puffin leaves a cliff and flies 33 km due east

and then 53 km due north

Work out the bearing form the cliff to the island = ?

The bearing form the cliff to the island is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The direction of movements describes a right triangle of

opposite = 53 km

adjacent = 33 km

The bearing is calculated using tan, TOA

let the angle be x

tan x = Opposite / Adjacent

tan x = 53 / 33

tan x = 1.60606

x = arc tan 1.60606

x = 58.09 degrees

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Answer:

1,3,4,5

Step-by-step explanation:

Answer:

-19\(x^{2}\) + 8x + 6

Step-by-step explanation:

−12\(x^{2}\)−5x−7\(x^{2}\)+6+13x

= −12\(x^{2}\)−7\(x^{2}\)+13x-5x+6

= -19\(x^{2}\) + 8x + 6

Answer:

9.3 = 93 / 10

Step-by-step explanation:

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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