Solve for d.
4.77 = -1.23 + -3d solve for d

The time needed for Aujah to safely drink her chocolate is given as follows:

101 minutes.

The equation for this problem is defined as follows:

T(x) = 71.1 + 29.4e^(-0.02x).

The chocolate can be safely drank when the temperature is of T(x) = 75ºC, hence the time is obtained as follows:

75 = 71.1 + 29.4e^(-0.02x).

We can solve for x applying the natural logarithm, which is the inverse of the exponential, as follows:

29.4e^(-0.02x) = 3.9

e^(-0.02x) = 3.9/29.4

-0.02x = ln(3.9/29.4)

x = ln(3.9/29.4)/-0.02

x = 101 minutes.

On the graphing calculator, you should input two functions.

The time is the intersection of these points, the value of x in this case.

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Sound waves are different from light because they must travel through a material medium.

Light commonly refers to the sensation that is perceived by our eyes. Beyond that, is a term used to describe electromagnetic radiation. These are waves that contain  oscillating electric and magnetic fields.

All these electromagnetic waves travel at the same speed. The time that one cycle of the wave takes to travel is called its period. The product of this period and the velocity of the wave tell us how far the wave can travel horizontally. This is known as the wavelength.

Sound waves are different from light because they must travel through a material medium. The speed of sound is far less tan the speed of light.

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Answer:

5

Step-by-step explanation:

y=mx+b

B is always the y intercept.

The numbers are 1 and 8.

We have,

Let's assume the lesser number as "x" and the greater number as "8x".

According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:

8x - x = 5x + 2

Simplifying the expression:

7x = 5x + 2

Subtracting 5x from both sides:

2x = 2

Dividing both sides by 2:

x = 1

So, the lesser number is 1 and the greater number is 8 times that, which is 8.

Therefore,

The numbers are 1 and 8.

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ANSWER :

27/40

EXPLANATION :

There are 26 Democrats and 4 Business majors. However, 3 of the Business majors are also Democrats.

So the total number of Democrats and Business majors is 26 + 4 - 3 = 27

Since there are 40 students in a class, the probability of choosing a Democrat or a Business major is 27/40

Answer: 27 x 1/3

Step-by-step explanation: 27/1 x 1/3 = 9 orchards per store

The number of orchards in each store will be 27 x (1/3). Then the correct option is A.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

John manages 27 apple orchards in North Georgia. He wants to split the orchards into thirds so that he can open 3 local stores.

Then the number of orchards in each store will be

⇒ 27 / 3

Then the expression can be written as,

⇒ 27 x (1/3)

The number of orchards in each store will be 27 x (1/3). Then the correct option is A.

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Answer:

0.00045

Step-by-step explanation:

This decimal is in the middle of these two numbers.

Answer:

0.1 mile per minute

( option A )

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

Answer:

the probability that the price will increase is 0.3592 or 35.92%

Step-by-step explanation:

Given the data in the question;

risk free interest rate = 1.98 percent

expectations are ; either increase by 18 percent or decrease by 7 percent over the next 6 months

hence

increment by 18 percent; d = 1 + 18% = 1 + 0.18 = 1.18

reduction by 7 percent; u = 1 - 7% = 1 - 0.07 = 0.93

so the probability that the price of the oil will increase will is;

P = (( 1 + rate ) - u ) / ( d - u )

we substitute

P = (( 1 + 1.98% ) -  0.93 ) / ( 1.18 - 0.93 )

P = (( 1 + 0.0198 ) - 0.93 ) / 0.25

P = ( 1.0198 - 0.93 ) / 0.25

P = 0.0898 / 0.25

P = 0.3592

P = ( 0.3592 × 100 )%

P = 35.92%

Therefore, the probability that the price will increase is 0.3592 or 35.92%

Answer:

Step-by-step explanation:

\(2\times \frac{5}{8} = \frac{2}{1} \times\frac{5}{8}= \frac{10}{8}\)

\(10\times \frac{1}{8} =\frac{10}{1} \times \frac{1}{8}= \frac{10}{8}\)

So yes they are the same.

Answer:$6.992

Step-by-step explanation:

205+232=437

437×16=6.992

The total ticket revenue is $6992 if the school plays 205 students to buy tickets and 232 adults to buy tickets all tickets cost 16.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

For the school play 205 students buy tickets and 232 adults buy tickets all tickets cost 16.

Let x be the total ticket revenue.

The value of x can be found as follows:

The linear equation in one variable:

x = 16(205 + 232)

x = 16(437)

x = $6992

Thus, the total ticket revenue is $6992 if the school plays 205 students to buy tickets and 232 adults to buy tickets all tickets cost 16.

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Step-by-step explanation:

everything can be found in the picture

Answer:

x = 102

Step-by-step explanation:

The angles form a straight line

Angles that form a straight line add up to equal 180

Hence, x + 78 = 180

Subtract both sides by 78

180 - 78 = 102

78 - 78 cancels out

Were left with x = 102

Answer:

2.28942848511

Step-by-step explanation:

V^3 = V x V x V

V x V x V = 12

12 = 2 x 2 x 3

Those are not equal, so V must be an irrational number.

But I just used a calculator. ¯\_(ツ)_/¯

The absolute value equation  that have the give solution set is

|x  - 1/12|  =  5/12

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

x−b=c

1/2 - b =  c

-1/3 - b = c

only possible

if | 1/2 - b|  = | -1/3 - b|

1/2 - b = b + 1/3

=> 2b = 1/6

=> b = 1/12

We have

|x  - 1/12|  =  5/12

The absolute value equation  that have the give solution set is

|x  - 1/12|  =  5/12

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Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Step-by-step explanation:

For the first equation, the line integral is equal to 8π since the line integral is being calculated over the top half of a circle. For the second equation, the line integral is equal to -8π since the line integral is being calculated over the part of the paraboloid that is inside the cylinder and has a downwards orientation.

For the first equation, the line integral can be calculated by parametrizing the given equation. Letting x = 2 and y = 2rcosθ and z = 2rsinθ, the line integral can be written as:

∫sc2rcosθdθ + 4r2cos2θr2sinθdθ + 4r2cosθr2sinθdθ

By integrating, the result is 8π.

For the second equation, the line integral can be calculated by parametrizing the given equation. Letting x = 2cosθ, y = 2sinθ, and z = 9-2cosθ-2sinθ, the line integral can be written as:

∫S(2sinθî+2cosθſ+(-2sinθ-2cosθ)ł)nas

By integrating, the result is -8π.

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The linear function is given as follows:

\(y = \sqrt{x} + 4\)

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

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Answer:

Explanation:

A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is more than 9 hours.

The null hypothesis states the opposite of the claim. Thus:

The alternate hypothesis on the other hand, states the claim:

Remark: The alternate hypothesis represents the claim.

Answer:

a = 3

b = -9

c = -3

d = 22

e = 49 - 9

f = a^2 -3

Step-by-step explanation:

Please no more questions :(

When an adult is 189cm tall, his predicted weight in kg is 84.89kg

We have y = -106+1.01x. This is the regression equation

we are to find y(weight) given that x (height) is 189 cm

y = -106 + 1.01x

y = -106+1.01*189

y = -106+190.89

y = 84.89 kg

In conclusion, when height is 189cm, weight is 84.89 kg

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Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.

To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:

0.25 + 0.125 = 0.375

This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:

0.375 x 200 = 75

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Answer:

-0.182

Step-by-step explanation:

Given expression:

It should be noted that;

1. Positive integer + (Negative integer) = Positive integer - Positive integer

2. Positive integer - (Negative integer) = Positive integer + Positive integer

Our case is point 1. Therefore,

The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

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Answer:

32.4

Step-by-step explanation:

Answer:

WHOS YOUR FAV MCYT

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The Two sets, A and B, are said to be disjoint sets if A n B=ϕ

The Two sets, A and B, are said to be disjoint sets if A n B=ϕ

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The number of hours Jeremy spent in the air is 16 hours.

He flew 8 times last week for work.

Each flight was two hours long.

Therefore, each flight, he spends two hours in the air.

Now he took this two hours flight for 8 times.

Therefore, the number of hours he spend in the air can be calculated as follows:

number of hours spent in the air = 8 × 2

number of hours spent in the air = 16 hours

Therefore, he spent 16 hours in the air.

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