Sandra currently earns $30 per hour at her work. Her boss has decided to
eive her a 15% raise. What is Sandra's new hourly wage?

Solving the given logarithmic equation, it is found that the horn is 100 times more intense compared to the weakest sound heard to the human ear.

The equation is given by:

\(d = 10\log{\frac{p}{p_0}}\)

In which:

In this problem, we have that d = 20, and we have to solve the logarithmic equation for p to find how many times more intense the sound is:

\(d = 10\log{\frac{p}{p_0}}\)

\(20 = 10\log{\frac{p}{p_0}}\)

\(\log{\frac{p}{p_0}} = 2\)

The logarithm is inverse of the function \(10^x\), hence we apply the function to both sides to find the ratio.

\(\frac{p}{p_0} = 10^2\)

\(\frac{p}{p_0} = 100\)

Hence, the horn is 100 times more intense compared to the weakest sound heard to the human ear.

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A car that gets 45 kilometers per gallon has better mileage than a car that gets 23 miles per gallon

What is mileage of a car?

The mileage of a car is the number of miles that it can travel using one gallon or litre of fuel.

The first car that gets a mileage of 23 miles per gallon

The second car gets 45 kilometers per gallon

1 mile = 1.6 km

1 km = 1/1.6 mile

45 km = (1/1.6) 45

45 km = 28.125 miles

28.125  miles > 23 miles

Therefore,  a car that gets 45 kilometers per gallon has better milegae than a car that gets 23 miles per gallon

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Answer:

y = -3x + 15

Step-by-step explanation:

9x + 3y = 15

subtract 9x from both sides of equation

3y = 15 - 9x

isolate y by dividing

y = 15 -3x

rewrite

y = -3x + 15

Answer:

The answer is y = -3x + 5

Step-by-step explanation:

I took the quiz and got it correct.

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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The result of the addition operation of 1204.2 + 4.72613 is approximately 1208.93.

An addition operation involves two addends added together to result in a number called the sum.

The addition operation is one of the four basic mathematical operations, including subtraction, division, and multiplication.

Mathematical operations combine numbers, variables, and values with mathematical operands to solve mathematical questions.

1204.2 + 4.72613

= 1208.92613

= 1208.93

Thus, the addition of 1204 and 4.72613 yields a total of 1208.93 approximately.

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Answer:

4% is a statistic and 1% is a parameter

Step-by-step explanation:

First, let's remember the differences between parameters and statistics:

Parameters are values that describe data of the entire population.

Statistics are values that describe data from a sample.

The value of 1% refers to "all of the parts", which is the population of over 1 million parts, thus 1% is a parameter.

The value of 4% refers to the "100 selected", which is the sample of 100 parts, thus 4% is a statistic.

Therefore, 4% is a statistic and 1% is a parameter.

Answer:

In physics the standard unit of weight is Newton, and the standard unit of mass is the kilogram. On Earth, a 1 kg object weighs 9.8 N, so to find the weight of an object in N simply multiply the mass by 9.8 N. Or, to find the mass in kg, divide the weight by 9.8 N.Divide the object's weight by the acceleration of gravity to find the mass.

Step-by-step explanation:

this is what i think

The equation that gives us the amount of gas left in her car, given the driven miles, is

Notice that when x=25, there will remain 14 gallons of gas in the tank.

The x-intercept is

(375,0). This is the maximum distance one can drive when the amount of gas in the tank reaches zero gallons.

On the other hand, the y-intercept is

(0,15). This is the number of gallons in the tank when we have driven 0 miles.

Answer:

1052 feet

Step-by-step explanation:

tan 50 = 1000/base

base = 839.1 feet

tan 78 = 1000/base

base = 212.56

839.1 + 212.56 = 1051.66 or 1052 feet

The option that gives  how much further away Balloon B is from Balloon A rounded to the nearest whole number is 1,052 feet

The reason for arriving at the above distance is as follows;

The given parameters are;

The angle at which Balloon A rises, x° = 50° above horizontal

The angle at which Balloon B rises, y° = 78° above horizontal

The (vertical) distance of Balloon A to the ground, h = 1,000 ft.

The required parameter;

The distance from Balloon A to Balloon B, d

Method;

We find the distances of the balloons from Charlie and the angle between the balloon strings, θ, then apply cosine rule

Assumption:

The height of the balloon strings are equal

The distance of Balloon A to the ground, h₁ = The distance of Balloon B to the ground, h₂ = 1,000 ft.

Solution;

The distance of the Balloon A  from Charlie, l₁, is given as follows;

l₁ × sin(x°) = h₁

∴ l₁ = h₁/(sin(x°))

Which gives;

l₁ = 1,000 ft./(sin(50°)) ≈ 1,305.41 ft.

l₁ ≈ 1,305.41 ft.

For Balloon B, we get;

h₁ = h₂ = 1,000 ft.

∴ l₂ = 1,000 ft./(sin(78°)) ≈ 1,022.34 ft.

l₂ ≈ 1,022.34 ft.

The angle between the balloon strings, θ = 180° - (x° + y°)

∴ θ = 180° - (50° + 78°) = 52°

The angle between the balloon strings, θ = 52°

By cosine rule, we have;

d = √(l₁² + l₂² - 2 × l₁ × l₂ × cos(θ))

∴ d = √(1,305.41² + 1,022.34² - 2 × 1,305.41×1,022.34 × cos(52°)) ≈ 1,052 feet

The distance from Balloon A to Balloon B, d ≈ 1,052 feet

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Step-by-step explanation:

no

rational is found in fraction

Answer:

No.

Step-by-step explanation:

It is not a rational number because the resulting numbers can't be expressed as the ratio of 2 integers.

The value of cost of the perimeter of the lid is, $32.625

Given that;

Dylan is putting a gold ribbon around the lid of a rectangular box. The lid ha a width of 6(1/4) inches and a length of 4(5/8) inches.

Hence, The value of perimeter of the lid is,

⇒ P = 2 (6 1/4 + 4 5/8)

⇒ P = 2 (25/4 + 37/8)

⇒ P = 2 (50/8 + 37/8)

⇒ P = 2 (87/8)

⇒ P =  87/4 inches

Since, The ribbon costs $1.50 per Inch.

Hence, Total cost for lid is,

⇒ 1.50 × 87/4

⇒ $32.625

Thus, The value of cost of the perimeter of the lid is, $32.625

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The important variables are the two types of test questions which can be represented as :

Variables are used to represent unknown values which could be worked out in a mathematical expression or problem.

The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer

Therefore, the correct option is C. m for multiple choice, s for short answer

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The average response time for the ambulance company is 13 minutes, with 95% of response times falling between 10 and 16 minutes.

The response times for a specific ambulance company follow a normal distribution with a mean of 13 minutes. This means that the majority of response times will cluster around the average of 13 minutes.

Furthermore, we know that 95% of the response times fall within the range of 10 to 16 minutes. This suggests that the response times are relatively consistent, with only a small percentage of outliers falling outside this range.

In summary, the average response time for this ambulance company is 13 minutes, and 95% of their response times fall between 10 and 16 minutes.

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A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.

What theory directly contradicts concept of absolute zero?

All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).

Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.

Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.

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If Marcus, who has 15 T-shirts in his closet, chooses a T-shirt without looking, the probability that it will be white is 20%.

Probability refers to the likelihood or chance that a defined or expected outcome will occur where there are many possible outcomes.

Probability lies between zero and one in most cases, except where the certainty is 100%.

Colors of       Number    Probabilities

T-shirts        of T-Shirts

White                   3              0.2 (3/15)

Gray                    8              0.533 (8/15)

Blue                    2               0.133 (2/15)

Green                 2               0.133 (2/15)

Total                 15

Thus, the probability of choosing a white T-shirt from 15 T-shirts depends on the number of white T-shirts to all T-shirts in the closet, which in this situation, is 20%.

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Answer:

5.5 inches

Step-by-step explanation:

the length of the baby's head =

1/(1+3) × 22 = ¼×22 = 5.5 inches

Answer: 5.5 inches

Step-by-step explanation: 1(1+3) x 22=1/4 x 22=5.5inches

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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Answer:

23x+250 and that would equal your total cost

Answer: Pretty sure it’s A. I’m not sure thought that makes the most sense to me.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

total cost= 5.95(number of popcorn ordered)

\(zeros \begin{cases} x=0\implies &x=0\\ x=9\implies &x-9=0\\ x=9\implies &x-9=0 \end{cases}\qquad \implies a(x)(x-9)(x-9)=\stackrel{y}{0} \\\\\\ \stackrel{\textit{with a coefficient of 1}}{1(x)(x-9)(x-9)=y}\implies x(x-9)^2=y\implies x(x^2-18x+81)=y \\\\\\ ~\hfill {\Large \begin{array}{llll} x^3-18x^2+81x=y \end{array}}~\hfill\)

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer:

D

Step-by-step explanation:

do you want an explanation?

btw, plz brainliest :)

Answer:

9.777777778

Step-by-step explanation:

7/9 written as a decimal is 0.777777778 when we add this on to the whole number 9, we get 9.777777778.

hope this helps!

Answer:

Answer is 2x^2 + 1x - 15

Step-by-step explanation:

A linear function gives us the following:

a) At 0 seconds, there are 300 liters of water in the aquarium.

b) The amount of water is losing volume at a rate of 60 liters per minute as time goes on.

Given,

Linear function;-

Modeling a linear function involves:

y = ax + b

That where:

The y-intercept in this problem is 300, hence 300 liters of water are present in the tank at 0 seconds.

The quantity drops by 60 liters each minute, so:

Water is losing volume at a rate of 60 liters per minute as time goes on.

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The probability of observing no positive reading if all suspects are telling the truth is d. 0.59. Probability theory is a branch of mathematics that is used to model and analyze random events.

Probability can be used to predict the likelihood of different outcomes in a wide range of situations, from games of chance to scientific experiments to everyday events. Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

To solve this problem, we need to calculate the probability of observing no positive readings given that all suspects are telling the truth, which is equal to the probability that all 5 suspects receive a negative reading on the lie detector test. Since the lie detector will show a positive reading 10% of the time when a person is telling the truth, the probability that a suspect will receive a negative reading when telling the truth is 1 - 10% = 90%. Therefore, the probability that all 5 suspects will receive a negative reading when telling the truth is:

(90%)^5 = (0.9)^5 = 0.59049.

The correct answer is therefore (d) 0.59.

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Answer:

25 degrees

Step-by-step explanation:

Because it is

Answer:

6/7

Step-by-step explanation:

36/42 = 36:6/42:6 = 6/7

Answer:

1. We are told that the medication decays by half each week. So, after one week, the amount of medication remaining is half of the original dose:

f(1) = (1/2) × &mL; = ½ &mL;

After two weeks, the amount of medication remaining is half of what was left after one week:

f(2) = (1/2) × ½ &mL; = ¼ &mL;

After three weeks, the amount of medication remaining is half of what was left after two weeks:

f(3) = (1/2) × ¼ &mL; = ⅛ &mL;

2. We are told that the medication decays by half each week. To find the amount of medication remaining one day after it is administered, we need to find the amount of medication that decays in one day. There are 7 days in a week, so the medication decays by a factor of ½ each &frac17; of a week. Therefore, the amount of medication remaining after one day is:

f(1/7) = ½ × &mL; = ½ &mL;

3. f(2) represents the amount of medication remaining in the dog's bloodstream two weeks after it is administered. We can plug w = 2 into the function f to find this amount, which is ¼ &mL.