Explain why:
0.8333... is equivalent to (5/6).

Points A , B and C are collinear......

Answer: 2 \(\frac{14}{25}\)

Step-by-step explanation:

2.56=

2 + 0.56=

2 + 56/100=

2 + 14/25=2 \(\frac{14}{25}\)

Answer:

15 people

Step-by-step explanation:

ez maths:

300 (total) divided by 20 (parts available) = how many people can sit at said part (15)

Answer:

Each section can hold 15 people.

Step-by-step explanation:

\(\frac{1}{y}=\frac{20}{300}\)

y × 20 = 300 × 1

20y = 300

20y ÷ 20 = 300 ÷ 20

y = 15

The exact value of secθ secθ in simplest radical form is 106/81.

The length of the hypotenuse is the distance from the origin to the point (-9, 5):

√((-9)^2 + 5^2) = √(81 + 25) = √106

cosθ = adjacent/hypotenuse = -9/√106

Therefore, secθ = 1/cosθ = -√106/9.

In order to find the value of secθ secθ, we simply multiply secθ by itself:

secθ secθ = (-√106/9) * (-√106/9) = 106/81

The exact value of secθ secθ is 106/81.

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Answer:

Given that a model airplane is flying horizontally due south at 22 miles per hour, which encounters a horizontal |vg| = √(22² + (-22)² + (-11)²)  mph

|vg| = √(484 + 484 + 121)  mph|vg| = √1089  mph|vg|

= 33 mph

Hence, the speed of the plane relative to the ground is 33 mph.

crosswind blowing east at 22 miles per hour and a downdraft blowing vertically downward at 11 miles per hour.To find the position vector that represents the velocity of the plane relative to the ground:We need to find the vector sum of the velocity of the airplane relative to the air, crosswind velocity, and the downdraft velocity.The velocity of the airplane relative to the air, va = 22i mph

Crosswind velocity, vw = -22j mph

Downdraft velocity, vd = -11k mphThe velocity of the airplane relative to the ground, vg can be determined by adding up the velocity of the airplane relative to the air and the velocity of the airplane relative to the ground. Thus,

vg = va + vw + vdvg

= 22i mph + (-22j) mph + (-11k) mph

vg = 22i - 22j - 11k

So, the position vector that represents the velocity of the plane relative to the ground is 22i - 22j - 11k.

|vg| = √(484 + 484 + 121)  mph|vg|

= √1089  mph|vg|

= 33 mph

Hence, the speed of the plane relative to the ground is 33 mph.

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Answer:

vertical, transitive, definition

Step-by-step explanation:

1 and 3 are vertical, as their opposite of each other

transitive means like if a = b and a =c then b = c

and a congruent to b means measure of angle a = measure of angle b

btw sugawara is cool

The correct choices are 29 feet = 348 inches, 352 yards = 0.2 miles, 372 feet = 124 yards, and 2 miles = 10560 feet.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

We have the ratio conversion table given.

mile: yard = 1: 1,760

yard: foot = 1 : 3

foot: inch = 1: 12

From the given conversion table:

29 feet = 29×12 inches

29 feet = 348 inches

Similarly,

352 yards = 0.2 miles   (1 yard = 1,760 miles)

372 feet = 124 yards

2 miles = 10560 feet  

Thus, the correct choices are 29 feet = 348 inches, 352 yards = 0.2 miles, 372 feet = 124 yards, and 2 miles = 10560 feet.

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Answer:

y=1/3x+3

Step-by-step explanation:

the general equation for a straight line is y=mx+c.where c is the y cut therefore the y cut on our graph is at (0,3)therefore c is 3

we then find the gradient which is "m" on our equation using the formula m=y2-y1/x2-x1

then we substitute the m and c then tha is the equation.

Answer:

Step-by-step explanation:

Answer:

it will be 15 dollars kkkkkkkkkkkkk

Answer:

$15.00

Step-by-step explanation:

An adult ticket is $7.50

A child ticket is half the Price.

So a mom takes Two kids, Which means 7.50/2 which is then 3.75

So for 1 kid— 3.75

Adult - 7.50

The mom takes two kids.

Multiply 3.75 and 2.

You get 7.50.

Add the adult and child tickets, and you would then get $ 15.00

Have wonderful Day!

The appropriate critical value for constructing a confidence interval in this setting is 1.88.

To find the appropriate critical value for constructing a confidence interval at a 94% confidence level, we can use a standard normal distribution table or a calculator.

First, we need to find the value of alpha, which is the significance level, which is equal to 1 - the confidence level. In this case, alpha is equal to 1 - 0.94 = 0.06.

Next, we need to find the critical value z* from the standard normal distribution table or calculator, which corresponds to the area to the right of z* being equal to alpha/2 = 0.03.

Using a standard normal distribution table or calculator, we can find that the critical value z* is approximately 1.88.

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Answer:

67

Step-by-step explanation:

Each time the number goes up by 7. After 9 moretimes 4 will increase by 63.

4+63=67.

The 10th term should be 67

Answer:

one quarter (.25) + three dimes (.30) = .55

Answer: A. Mean = 9.56, Median = 11, Mode = 7

Step-by-step explanation:

The mean, median and the mode for the given data is 9.56, 9, and 7 respectively.

Given data below:

In order to find the mean, it can be calculated by dividing a sum of all the data points with the number of data points in the data set.

The formula is:

\(\bar{M}=\dfrac{\sum M}{N}\)

\(\bar{M}=\dfrac{4+6+7+7+9+11+13+14+15}{9}\)

\(\bar{M}=\dfrac{86}{9}\)

\(\bar{M}=9.56\)

Next, we will find the median.

In order to find the median, we got to place the numbers in value order and find the middle.

So,

\(\text{Median}=9\)

Lastly, we will find the mode.

To find the mode, order the numbers lowest to highest and see which number appears the most often.

So,

\(\text{Mode}=7\)

Thus, the mean, median and the mode for the given data is 9.56, 9, and 7 respectively.

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Answer: C. a dialation by a scale factor of 5

Step-by-step explanation:

Answer: the two numbers are in the question

Step-by-step explanation:

i took the test

Answer:

4y^3 + 4x^2 - 2

Step-by-step explanation:

Sort out these terms following powers of x and y:

First, y terms:

 6y^3 - 2y^3 => 4y^3

Next, constants:

 7 - 7 - 2 => -2

Next, x^2 terms:

 6x^2 - 2x^2 => 4x^2

Now write out the modified expression, using the "combined terms" results given above:

4y^3 + 4x^2 - 2

Answer:

Step-by-step explanation:

1 mile = 1.6 km

23 miles = 1.6 * 23

              = 36.8 km

The cycle-a-thon's course is in the form of a triangle. The length of one side is given as 4.1 km, while two angles are given as 113° and 47°. Determine the length of the other sides, then add them up to find the total distance traveled by Kira. She will be paid $14.70 per kilometer of distance traveled.

Determine the total distance covered by Kira during the cycle-a-thon and then multiply that value by the amount paid per kilometer. This will yield the amount of money Kira raises during the cycle-a-thon. The following steps will guide us in determining how much money Kira raised:

Let's assume that the other two sides of the triangle are x km and y km.To find the third angle, we can use the formula for the sum of interior angles of a triangle which is 180°.∴ Third angle = 180° - (113° + 47°) = 20°To determine x, we will use the Sine formula; that is:sin A / a = sin B / b = sin C / cWhere A, B, and C are the angles of the triangle, and a, b, and c are the opposite sides respectively;

using this formula:sin 113° / 4.1 km = sin 20° / xkm ∴ x = (4.1 km * sin 20°) / sin 113° ≈ 0.84 kmTo determine y, we will use the Cosine formula, that is:cos A = (b² + c² - a²) / 2bcWhere A, B, and C are the angles of the triangle, and a, b, and c are the opposite sides respectively.∴ cos 47° = (4.1² + y² - 0.84²) / (2 * 4.1 * y)∴ y ≈ 5.68 km (after solving)Total distance travelled = 4.1 km + 0.84 km + 5.68 km = 10.62 kmAmount paid per km distance traveled = $14.70Money raised if Kira cycles the course 3 times = 3 * 10.62 km * $14.70 = $563.69.

Kira is participating in a cycle-a-thon to raise money for cancer research. The course set up for the participants is a triangular course. The length of the side between the angles is 4.1 km. Kira will earn $14.70 for every kilometer of distance she travels. She has to cycle the course three times to raise money for cancer research. It is necessary to determine the total distance Kira traveled to calculate the amount of money she raised. Two angles are known, one of which is 113 degrees, and the other is 47 degrees. One side is 4.1 km long.

To determine the length of the other two sides of the triangle, the Sine formula and the Cosine formula will be used. To calculate x, which is the length of one side of the triangle, the Sine formula will be used. The following formula is used to calculate x:sin A / a = sin B / b = sin C / cUsing the known values: a = 4.1 km, A = 113 degrees, and C = 20 degrees; sin B / b = sin 20 degrees / xkmSince we want to calculate x, we rearrange the formula and get:x = (4.1 km * sin 20 degrees) / sin 113 degrees = 0.84 kmTo determine y, which is the length of the second side of the triangle, the Cosine formula will be used.

The Cosine formula is given as:cos A = (b² + c² - a²) / 2bcUsing the known values: a = 4.1 km, A = 47 degrees, b = y, and c = x; cos 47 degrees = (4.1² + y² - 0.84²) / (2 * 4.1 * y)By rearranging this formula, we get:y ≈ 5.68 kmNow that we know the lengths of all the sides, we can add them up to determine the total distance traveled by Kira during the cycle-a-thon. The total distance is 10.62 km. Therefore, the amount of money raised by Kira is given as follows:Money raised if Kira cycles the course 3 times = 3 * 10.62 km * $14.70 = $563.69.

Kira has to cycle a triangular course three times to raise money for cancer research. The length of one side of the triangle is 4.1 km, while the other two sides have to be determined. Two angles of the triangle are given: 113 degrees and 47 degrees.

To determine the lengths of the other two sides, the Sine formula and the Cosine formula are used. One of the sides is found to be 0.84 km long, while the other side is found to be 5.68 km long. The total distance traveled by Kira during the cycle-a-thon is determined by adding up the lengths of all three sides.

It is found to be 10.62 km. The amount of money Kira raises is calculated by multiplying the total distance by the amount earned per kilometer. Kira raises $563.69 by cycling the course three times.

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When you develop an argument with a major premise, a minor premise, and a conclusion, you are using deductive reasoning. When constructing an argument using deductive reasoning, three components are involved: a major premise, a minor premise, and a conclusion.

Deductive reasoning is a logical process where the conclusion is derived from the major and minor premises. The major premise is a general statement or principle that establishes a broad context or rule.

The minor premise is a specific statement or evidence that relates to the major premise. Finally, the conclusion is the logical inference or outcome that follows from the combination of the major and minor premises.

Deductive reasoning allows for the logical progression from general principles to specific conclusions, making it a valuable tool in fields such as mathematics, logic, and philosophy.

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Answer:

-48

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-8--6 double negative is a positive so -8+6 and if you owe the bank -8 dollars and you gave them 6 then you would still owe -2 dollars

Answer:

67% is subtracted

Step-by-step explanation:

Answer:

sorry it's too long

Step-by-step explanation:

Simplifying

3y + 3(1 + -1y) + -1y = 6

3y + (1 * 3 + -1y * 3) + -1y = 6

3y + (3 + -3y) + -1y = 6

Reorder the terms:

3 + 3y + -3y + -1y = 6

Combine like terms: 3y + -3y = 0

3 + 0 + -1y = 6

3 + -1y = 6

Solving

3 + -1y = 6

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -1y = 6 + -3

Combine like terms: 3 + -3 = 0

0 + -1y = 6 + -3

-1y = 6 + -3

Combine like terms: 6 + -3 = 3

-1y = 3

Divide each side by '-1'.

y = -3

Simplifying

y = -3

We can use the Pythagorean identity to find cosine: cos θ = ±√(1-sin²θ), we get  cos θ ≈ ±0.935
Since cosine is positive in the fourth quadrant, we take the positive value:
cos θ ≈ 0.935.

Since θ is in the fourth quadrant and CSC (θ) = -2.88, we can start by finding sin(θ).

Recall that csc(θ) is the reciprocal of sin(θ), so:
sin(θ) = 1/csc(θ) = 1/(-2.88)

Now, we'll use the Pythagorean identity sin²(θ) + cos²(θ) = 1 to find cos(θ):
⇒ cos²(θ) = 1 - sin²(θ)csc θ = 1/sin θ = -2.88
⇒ Sin θ = -1/2.88
⇒ cos θ = ±√(1-sin²θ)
⇒ cos θ = ±√(1-1/2.88²)
⇒ cos θ ≈ ±0.935

Since θ is in the fourth quadrant, cos(θ) will be positive.

Therefore, cosine is positive in the fourth quadrant, we take the positive value:  

cos θ ≈ 0.935.

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Total votes were casted in election are 4716

Given: The ratio of votes in favor to votes against in an election is 5 to 4. 2,620 votes are in favor.

To find: The total number of votes cast.

Let the number of votes against is 4x.

Given the ratio of votes in favor to votes against is 5 : 4

Then, the number of votes in favor is 5x.

According to the question, 2,620 votes are in favor.

So, 5x = 2,620x = 2,620/5x = 524

The number of votes against = 4x = 4 × 524 = 2096

The total number of votes cast = votes in favor + votes against= 2620 + 2096= 4716

Therefore, there were 4716 votes cast in the

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Answer:

9.55 cm

Step-by-step explanation:

The circumference is also called the perimeter, which is the length of the outline of any shape.

So,

\(Perimeter = \pi *diameter\\30 cm = \pi * d\\\\d = \frac{30}{\pi} cm\\\\d=9.54929658551\:cm\\d=9.55\:cm\)

Hi there!

\(\large\boxed{(-\infty, \infty)}}\)

We are given the function:

\(f(x) = a\sqrt[3]{bx-c}+d\)

This is the transformation form of a cubic root function. Recall these properties of cubic root functions:

Domain: -∞ < x < ∞ (all real numbers)

Range: -∞ < x < ∞ (all real numbers)

Therefore, the range of the given function is all real numbers, or on (-∞, ∞).