factorie a3b3-9a2b2+20ab

Answer:

5y and -10y

15 and -80

-5y -65

Answer:

−5y−65

Step-by-step explanation:

(5y−10y)+(15−80)

1) Collect like terms.

2) Simplify.

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

5/12 hour or 25 minutes

Step-by-step explanation:

The formula is

distance = rate * time

changing minutes to hours (50 * 1 /60 ) = 5/6 hours

distance = 20 mph * 5/6 hours

distance = 50/3 miles

We need to go the same distance at 40 mph

50/3 = 40 mph * time

Multiply each side by 1/40

50 /3 * 1/40 = 40 * 1/40 *t

50/3 *1/40 =t

5/12  of an hour

Changing back to minutes

5/12 * 60 =25

Answer: x=53 - y/3

y=159-3x

Step-by-step explanation:

9x + 3y = 477

(9x + 3y)/3=477/3

3x+y=159

3x-3x+y=159-3x

y=159-3x

3x+y=159

3x=159-y

x=(159-y)/3

x=53 - y/3

Answer:

0.456 :)

Step-by-step explanation:

Step-by-step explanation:

1. 16x ^ 12 ( to raise a product to a power , raise its factor to the power , evaluate the power, simplify the expressions by multiplying exponents)

2. 1 ( its a rule any non zero expression raised to power of 0 equals to 1)

3. 7/p^4

Answer:

Volume of prism = Area of base× height

= l×b×h

=4.8×23×0.9

= 99.36 m³

All options are incorrect : )

Answer:

The answer is B

Step-by-step explanation:

Im 3 weeks late lol sorry. I took the quiz.

Answer:

Explanation:

Here, we want to get the diameter of one of the balls

Firstly, we need to get the size of one of the balls

We can get this by dividing the total volume of the three balls by 3

Mathematically, we have this as:

To get the diameter of one of the balls, we can get the radius first and multiply the value by 2 since the diameter is 2 times the radius length

A ball is spherical in shape

The volume of a sphere is:

Thus:

To get the diameter, we simply multiply this by 2

The measure of angle Z is 47.19°.

Law of sines is defined as that ratio of the length of the sides of a triangle to the sine of the angle opposite to the these sides are equal.

That is, if a, b and c are sides opposite to the angles A, B and C respectively, then,

a / sin A = b / sin B = c / sin C

Given a triangle XYZ.

m ∠Y = 78°, XY = 9, XZ = 12

We have to find the measure of angle Z.

Using the law of sines,

XZ / sin Y = XY / sin Z

12 / sin (78°) = 9 / sin Z

Cross multiplying,

12 × sin Z = 9 × sin (78°)

sin Z = (9 × sin (78°)) / 12

sin Z = 0.7336

Z = sin⁻¹ (0.7336)

Z = 0.8236 radians

  = 47.19°

Hence the measure of Z is 47.19°.

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Answer:

(-1/3; 4)

Step-by-step explanation:

(-2, -1) , (-1, 6 ) and (2, 7).​

x=(-2-1+2)/3= -1/3

y=(-1+6+7)/3=12/3=4

=> (-1/3; 4)

Answer:

48+23(6)½

Step-by-step explanation:

A = l × w

A =[(8-(6)^½) × (9+4(6)^½)]

A =8(9+4(6)^½) + [-(6)^½(9+4(6)^½]

A =(72 + 32(6)^½ - 9(6)^½ - 24)

A =(72 - 24 + 32(6)^½ - 9(6)^½)

A =(48 + 23(6)^½)

1. The terminal point P(x, y) determined by a real number t is given. So, the answer is sin t = 3/5, cos t = 4/5, and tan t = 3/4.

We need to first determine the values of x and y in order to find sin t, cos t, and tan t. We are given the point P(x, y) = (4/5, 3/5), which is centered on the unit circle.

We can use the Pythagorean theorem to find the value of the radius r of the unit circle:

r = √(x² + y²)

= √(4/5)² + (3/5)²)

= √(16/25 + 9/25)

r = √(25/25)

r = 1

So the point P lies on the unit circle, and its coordinates satisfy x = 4/5 and y = 3/5.

Now, we can use the definitions of sin t, cos t, and tan t to find their values:

sin t = y/r = (3/5) / 1 = 3/5

cos t = x/r = (4/5) / 1 = 4/5

tan t = y/x = (3/5) / (4/5) = 3/4

Therefore, sin t = 3/5, cos t = 4/5, and tan t = 3/4.

2. The terminal point P(x, y) determined by a real number t is given. So, the answer is sin t = (√15)/8, cos t = -7/8, and tan t = -(√15)/7

We need to first determine the values of x and y in order to find sin t, cos t, and tan t. The point P(x, y) = (-7/8, (√15/8) on the unit circle centered at the origin is provided to us.

We can use the Pythagorean theorem to find the value of the radius r of the unit circle:

r = √(x² + y²)

= √(-7/8)² + (√15)/8)²

= √(49/64 + 15/64)

r = √(64/64) = 1

r = 1

So the point P lies on the unit circle, and its coordinates satisfy x = -7/8 and y = √15/8.

Now, we can use the definitions of sin t, cos t, and tan t to find their values:

sin t = y/r = (√15)/8) / 1 = √15/8

cos t = x/r = (-7/8) / 1 = -7/8

tan t = y/x = (√15)/8) / (-7/8) = -(√15)/7

Therefore, sin t = (√15)/8, cos t = -7/8, and tan t = -(√15)/7.

3. The values of the trigonometric functions of t from the given information. tan t= (-5/12) cos t > 0. So, the answer is sin t = 12/13 , cos t = -5/13

We know that tan t = (-5/12) cos t > 0. We know that t must be in the second quadrant since tan t is negative in the second and fourth quadrants and cos t is negative in the second and third quadrants. Cosine is negative in the second quadrant, while sine is positive. The Pythagorean identity may be used to calculate the value of sin t:

sin² t + cos² t = 1

sin² t + (-5/12)² sin² t = 1

(1 + 25/144) sin² t = 1

169/144 sin² t = 1

sin² t = 144/169

sin t = √(144/169) = 12/13

Now, we can find the cos t:

cos t = -√(1 - sin² t)

= -√(1 - (144/169))

cos t= -5/13

Therefore, sin t = 12/13 , cos t = -5/13

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Answer:

mean = 7.5

median = 7.5

Step-by-step explanation:

mean = 10 + 8 + 6 + 10 + 4 + 7 + 5 + 10 = 60

= 60 / 8 = 7.5

Answer:

The Mean is: 7.5

The Mode is: 10

Step-by-step explanation:

Mean:

10 + 8 + 6 + 10 + 4 + 7 + 5 + 10 = 60

60 ÷ 8 = 7.5

Mode:

4, 5, 6, 7, 8, 10, 10

10 has occured twice, it is the mode.

Answer:

5:3.

Step-by-step explanation:

Riley can dribble a basketball 50 times in 1/2 minute with her right hand and 30 times in 1/2 minute with her left hand.

Rate of her right hand is : \(\dfrac{50}{(1/2)}=100\ \text{per minute}\)

Rate of her left hand is : \(\dfrac{30}{(1/2)}=60\ \text{per minute}\)

Ratio of her right hand to her left hand dribbling rate : \(\dfrac{100}{60}=\dfrac{5}{3}\)

So, the required ratio is 5:3.

Answer:

There are three types of triangle based on the length of the sides: equilateral, isosceles, and scalene.       An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle. This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles. A scalene triangle is a triangle in which all three sides have different lengths. Also the angles of a scalene triangle have different measures.

Step-by-step explanation:

Answer:

equilateral, isosceles, and scalene

Step-by-step explanation:

equilateral triangle-the triangle has 3 same angles and sides

isosceles triangle-a triangle with 2 same sides and angles

scalene triangle- a triangle with nothing in common

Answer:

4044.32

Explanation:

6506.08 (total) - 2461.76 (top)=

4044.32 (lateral+top)

Formulae:

total = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

top= T= πr2

The Converse of the Pythagorean Theorem states that if the sum of the squares of the lengths of two sides of a triangle is equal to the square of the measure of its third side, then the triangle is a right triangle.

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and the hypotenuse c, often called the Pythagorean equation: a² + b² = c²

The theorem is named for the Greek philosopher Pythagoras, born around 570 BC. The theorem has been proved numerous times by many different methods – possibly the most for any mathematical theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years.

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A machine purchased 8 years ago for $76000 is worth $36000 today, we can calculate the value of the machine 3 years from now.

The exponential decay formula is given by: V = V0 * e^(-kt), where V is the value at time t, V0 is the initial value, k is the decay constant, and t is the time.

To find the decay constant, we can use the given information. Let's denote the decay constant as k. We know that after 8 years, the value of the machine is $36000, so we can set up the equation as follows:

36000 = 76000 * e^(-8k)

To solve for k, we divide both sides of the equation by 76000 and take the natural logarithm of both sides:

ln(36000/76000) = -8k

Simplifying further:

k ≈ 0.1023

Now we can calculate the value of the machine 3 years from now using the formula:

V = 76000 * e^(-0.1023*3)

Calculating this expression, we find that the value of the machine 3 years from now is approximately $48,478.06.

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Answer:

m = 3

Step-by-step explanation:

The answer is on the image.

Hope it helps!

Step-by-step explanation:

angle B+angle C = 180°

= angle B= 180-79

= angle B = 101°

therefore angle A = 79°

angle D = 101°

The area of the decagon is 123.2 square units and the area of the circle is 131.91 square units

Other solutions are shoen below

The apothem is given from the question as

Apothem = 6.16

This is because the apothem segment is

Apothem segment = CM

The measure of the central angle is

Central angle = 360/10

So, we have

Central angle = 36

This means that

∠ZCW = 36, ∠DCS = 36, ∠UCP = 72, ∠DCM = 18 and ∠MEC = DNE

Using the right triangle from the question, we have the following tangent ratio:

tan(DCM) = DM/Apothem

So, we have

tan(18) = DM/6.16

So, we have

DM = 6.16tan(18)

When solved, we have

DM = 2.0

MS = 2.0

DS = 4.0

The perimeter of the decagon is calculated as

Perimeter = Number of sides * Side length

Where we have

Number of sides = 10

Side length = 4.0

So, we have

Perimeter = 10 * 4.0

Evaluate

Perimeter = 40 units

The area is calculated as

Area = Number of sides * Area of DCS

So, we have

Area = 10 * 1/2 * 4.0 * 6.16

Evaluate

Area = 123.2 square units

Using the right triangle from the question, we have the following tangent ratio:

cos(DCM) = CM/CD

So, we have

cos(18) = 6.16/CD

So, we have

CD = 6.16/cos(18)

When solved, we have

CD = 6.48

This means that

Radius, r = 6.48 units

For the area of the circle, we have

Area = πr²

Area = π * 6.48²

Area = 131.91 square units

Hence, the area of the circle is 131.91 square units

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The probability that it will take more than 1 year to have three flood events can be calculated using the Poisson distribution. This probability can be found by summing the probabilities of having less than or equal to two flood events in one year.

Since the average number of flood events in a year is given as three, we can use the Poisson distribution to calculate the probability of having a certain number of events in a given time period. In this case, we are interested in the probability of having less than or equal to two flood events in one year.

Using the Poisson distribution formula, we can calculate the probability of each individual number of events (0, 1, and 2) and then sum them up. The formula for the Poisson distribution is P(X=k) = (e^(-λ) * λ^k) / k!, where λ is the average number of events.

In this case, λ is 3 events per year. We can calculate the probabilities for k=0, 1, and 2 using this value of λ. Then, we sum up these probabilities to find the probability of having less than or equal to two flood events in one year. Finally, subtracting this probability from 1 gives us the probability of taking more than 1 year to have three flood events.

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Answer:

Step-by-step explanation:

One of four in number form is 1/4 this is the only thing I can tell you without knowing what the answer choices are or what the question is

Answer:

20

Step-by-step explanation:

Answer: The incenter

Step-by-step explanation:

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle. In other words, the point where three angle bisectors of the angles of the triangle meet are known as the incenter.

Answer:

2 is the answer

i used pemdas/ order of operations

Step-by-step explanation:

Answer: 1. a) WS, ZV, YU

b) WX, VU, ST

c) ZW

d) WXY

e) TSW

f) UY, UV, UT, ZY, YX

g) ZY, WX ZW, ZV, WS

2. a) intersecting

b) parallel

c) shew

d) intersecting

e) parallel

Step-by-step explanation: