Write the standard form of the equation y+4=-12/7(x-1)

Distance is the total length covered by an object.

Displacement is the distance between the final point and the initial point.

The distance of the helicopter's flight is 150 m

The displacement of the helicopter's flight is zero.

Displacement is the distance between the final point and the initial point.

We have,

A helicopter lifts 75m vertically into the air and then comes back down to the ground.

Distance is the total length covered by an object.

Distance of the helicopter's flight.

= 75m + 75m

= 150 m

Displacement of the helicopter's flight.

= Final point - Initial point

= 0 - 0

= 0  

Learn more about displacement here:

https://brainly.com/question/11934397

#SPJ2

Let the number of adult tickets sold be represented by a

Let the number o student tickets sold be represented by s

On the first day

12 adult tickets were sold and 2 students tickets were sold

=> 12a + 2s

The amount equals $134

12a + 2s = 134 ........ Equation 1

On the second day

13 adult tickets were sold and 8 students tickets which equal $ 186

13a + 8s = 186 ------ Equation 2

Equations 1 and 2 can be solved simultaneously

Using the Elimination Method

Equation 1 can be multiplied by 4 so that the variable s will be eliminated

=> 48a + 8s = 536 ---- Equation 3

Equation 2 can now be subtracted from equation 3

48a - 13a = 536 - 186

35a = 350

Divide both sides by 35

a =350/ 35

a = 10

To get s, substitute a = 10 into Equation 1

12a + 2s = 134

12 x 10 + 2s = 134

120 + 2s = 134

2s = 134 - 120

2s = 14

Divide both sides by 2

s = 7

The price of an adult ticket is $10

The price of a student ticket is $7

Answer:

1st x = 12

2nd x = 10

...................

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

Answer:

9.18%

Step-by-step explanation:

The probability of getting a tail on a fair coin flip is 0.5, and the probability of getting a head is also 0.5. Since each coin flip is independent, we can use the binomial probability formula to calculate the probability of getting exactly 5 tails in 15 flips:

P(X = 5) = (15 choose 5) * (0.5)^5 * (0.5)^(15-5)

where (15 choose 5) is the number of ways to choose 5 tails out of 15 flips, which can be calculated as:

(15 choose 5) = 15! / (5! * 10!) = 3003

Substituting the values, we get:

P(X = 5) = 3003 * (0.5)^15 ≈ 0.0918

Therefore, the probability of getting exactly 5 tails in 15 coin flips is approximately 0.0918 or 9.18%.

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

Learn more about functions on

https://brainly.com/question/11624077

#SPJ1

We can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).

To determine the interval within which 95 percent of the sample means will fall, we need to calculate the margin of error using the standard deviation and the desired level of confidence.

The formula to calculate the margin of error is given by:

Margin of Error = Z * (Standard Deviation / √n)

Where:

Z is the critical value corresponding to the desired level of confidence

Standard Deviation is the standard deviation of the population

n is the sample size

Since the sample size is 41 and we want to find the interval at a 95 percent confidence level, we need to find the critical value corresponding to a 95 percent confidence level.

The critical value can be found using a standard normal distribution table or a calculator. For a 95 percent confidence level, the critical value is approximately 1.96.

Now we can calculate the margin of error:

Margin of Error = 1.96 * (0.0050 / √41)

Calculating this, we find:

Margin of Error ≈ 0.001624

To find the interval within which 95 percent of the sample means will fall, we need to subtract and add the margin of error to the true mean:

Interval = True Mean ± Margin of Error

Interval = 0.9550 ± 0.001624

Calculating this, we find:

Interval ≈ (0.9534, 0.9566)

Therefore, we can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).

for more such question on interval visit

https://brainly.com/question/30460486

#SPJ8

Answer:

4 m squared minus 20 m n + 25 n squared; a perfect square trinomial

Step-by-step explanation:

(-2m+5n)(-2m+5n)

4\(m^{2}\)-20mn+25\(n^{2}\)

By expanding the given expression, we conclude that the equivalent expression will be the perfect square trinomial:

4m^2 + 20m*n + 25n^2

We have a polynomial given by the expression:

(2m + 5n)^2

If we expand the binomial (binomial means that it hastwo terms), we will get:

(2m)^2 + 2*(2m)*(5n) + (5n)^2

= 4m^2 + 20m*n + 25n^2

This is a perfect square trinomial (trinomial because has 3 terms and perfect square because is the square of a binomial).

If you want to learn more about polynomials, you can read:

https://brainly.com/question/4142886

Step-by-step explanation:

\(\sqrt[3]{t^{2} } + 4\sqrt{t^{3} } \\=t^{\frac{2}{3} } + 4t^{\frac{3}{2} }\\\\then, \\u` = \frac{2}{3}t^{-\frac{1}{3}} + 6t^{\frac{1}{2} }\)

Answer: Four people are sharing two pizzas equally how much pizza will each person get.

Step-by-step explanation: I think they will share 1/2

If it's wrong sorry :(

Answer: \((-\infty, -8) \cup (-8, \infty)\)

Step-by-step explanation:

I'm assuming you meant \(f(x)=\frac{x-9}{x+8}\)

For this function, we need to make sure the denominator is not equal to 0, because if it was, then the fraction would be undefined.

Thus, \(x+8 \neq 0 \longrightarrow x \neq -8\)

In interval notation, this is \((-\infty, -8) \cup (-8, \infty)\)

Answer:

The answer is 126.

Step-by-step explanation:

If you multiply 2*9 first, you get 18. Then multiply 18 by 7. The answer will be 126. I hope this helps.

Answer:

1

Step-by-step explanation:

(Cot t) (Sin t)/(Cos t)

cot = cos / sin

Replacing cot t with cos t / sin t

cos t/ sin t * (Sin t)/(Cos t)

Canceling the sin t's

cos t / cos t

1

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

Read more on the Sine function:

https://brainly.com/question/21902442

https://brainly.com/question/29529184

https://brainly.com/question/23214084

Answer:

30.2 aka C

Step-by-step explanation:

The formula for the area of a circle is A = pir^2. Knowing this we can create the equation A = 3.14(3.1)^2. Following PEMDAS square 3.1 to get 9.61. Then you multiply 9.61 with 3.14 to get 30.1754. When you round to the nearest tenth you get 30.2.

Answer:

1st day=Tuesday

8th day=Tuesday

8×62=496thday=Tuesday

497th day=Wednesday

498th day=Thursday

499th day=Friday

500th day=Saturday

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

Read more about volume at

brainly.com/question/463363

#SPJ1

Answer:

100

Step-by-step explanation:

Forumla is

Original price X rate of discount = discount

The original price is $125, the rate of discount is 20%

So in math form, this is 125 x .20

which equals 25.

Lastly, just subtract that from the original price. 125 - 25 = 100.

The cost of Car A for 580 miles will be $21.58.

Cost for Car A to drive 580 miles:

Therefore, the cost of Car A for 580 miles will be $21.58.

Know more about mathematical operations here:

https://brainly.com/question/20628271

#SPJ9

If a function, f(x) is translated d units downwards, the new function would be

f(x) - d

The original function that we were given is

y = 3^x

It can also be written as

f(x) = 3^x

the function after the shift is

y = 3^x - 2

It can also be written as

f(x)' = 3^x - 2

By comparing with the function stated earlier, - d = - 2

Thus, the function was translated 2 units downwards

D) Down

Answer:

The volume is 200.7 cm^3

Step-by-step explanation:

The volume of a cylinder is:

Vol = pi•r^2•h

The radius and height were given, so fill them in.

V = pi • (4.4)^2 • 3.3

V = 200.710071

This is the answer you get if you use the pi key on the calculator.

Round to the nearest tenth.

V = 200.7

The volume is 200.7cm^3.

***(If your teacher/class/text/program says to use 3.14 for pi, the answer will come out as 200.6)

Answer:

First one is b second one is a thrid is c

Step-by-step explanation:

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

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

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

for more such questions on quadrilateral

https://brainly.com/question/27991573

#SPJ8

Answer:

3 bottles

Step-by-step explanation:

1 bottle -- $1.20

x bottles -- 3.60 (total cost)

Therefore, number of bottles -- (3.60/1.20) = 3

She bought 3 bottles.

Thenks and maek me brainliest :))

Answer:

variable measurement

Step-by-step explanation:

The type of measurement you are referring to is called "variable measurement". In variable measurement, the quantity being measured can vary from one observation to another. This means that the measurement is not consistent or fixed, and can change each time it is taken. An example of variable measurement is measuring the weight of a person over time, as their weight can change from one day to another. Another example is measuring the temperature in a room throughout the day, as the temperature can fluctuate based on factors such as sunlight, air conditioning, and human activity.

The algebraic expression of raise t to the 10th power then add the result to 3 is t¹⁰ + 3

An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.

Given: raise t to the 10th power then add the result to 3

Note: t is the variable here

Let's write algebraic expression now:

raise t to the 10th power => t¹⁰

then add the result to 3 => t¹⁰ + 3

Therefore, the algebraic expression is t¹⁰ + 3

Learn more about algebraic expression on:

https://brainly.com/question/4344214

#SPJ1