Evaluate:
8a +9y - 10a - 3y

when a = 2 and y = 10

Answer:

ok so a way to do this is that

124-180=56

75-180=105

105+56= 161

180-161= 19

180-19=161

so A.

Answer:

-18

Step-by-step explanation:

9/4 x -8/1

-72/4

-18

2.5 hours the Kelly  spent driving.51 minutes John spent  for driving.1.20 hours Ebise spent driving.Since average speed = distance/time +> distance = speed*time,

x =the number of hours the Kelly  spent driving.

y = the number of hours John spent driving.

Z= the number of hours Ebise spent driving.

Since average speed = distance/time +> distance = speed*time,

y = x + 1.

By resolving the system of equations

y = x + 1

x*28 + y*82 + Z* 58,

average speed  = 70

we discover that

x = 2.5 hours

y = 51 minutes, respectively.

Z = 1. hr 20 minutes

2.5 hours the Kelly  spent driving.

51  minutes John spent  for driving.

1.20 hours Ebise spent driving.

To learn more about average speed refer to:

https://brainly.com/question/4931057

#SPJ1

False.
The Precautionary Principle is a guiding principle in decision-making when there is scientific uncertainty about potential harm.

Science is a process of investigation and discovery that aims to understand the natural world. It relies on evidence, experimentation, and observation to develop theories and explanations for phenomena. However, science does not claim to achieve 100% absolute proof. Scientific theories are constantly subject to revision and refinement based on new evidence and observations.

The Precautionary Principle is a guiding principle in decision-making when there is scientific uncertainty about potential harm. It suggests taking preventative measures to avoid potential risks, even if scientific evidence is not yet conclusive. Based on this principle, the situations in which it may be applied are:

- The FDA is determining a safe dose for a new diabetes medication.
- The EPA sets a new standard for a contaminant in public drinking water.

In these scenarios, there is a need to assess the potential risks associated with the medication and the contaminant in public drinking water. The Precautionary Principle encourages taking precautions to ensure public safety and minimize harm until more conclusive scientific evidence is available.

It's important to note that the Precautionary Principle may also be applied in other contexts, depending on the specific circumstances and the level of uncertainty involved. For example, if a car manufacturer discovers a potential safety issue with a new car's interior color, they may choose to apply the Precautionary Principle and investigate further before releasing the product. However, this specific scenario was not listed among the options provided. Similarly, the architect designing elevators for a skyscraper in New York City or the engineer ordering a new painting for their office may consider safety factors, but the Precautionary Principle may not necessarily be the primary guiding principle in those cases.

Learn more about Diabetes:

https://brainly.com/question/26666469

#SPJ11

The probability that A or B (or both) events occur is 0.55.

We can use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

Given that events A and B are independent, we know that:

P(A and B) = P(A) * P(B)

We are also given that:

P(B) = 0.5

P(A and B) = 0.1

Substituting these values into the formula, we get:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = P(A) + 0.5 - (P(A) * 0.5)

P(A or B) = 0.5P(A) + 0.5

To find the probability of A or B, we need to determine the probability of A. We can rearrange the equation above to solve for P(A):

P(A or B) - 0.5 = 0.5P(A)

P(A) = (P(A or B) - 0.5) / 0.5

P(A) = 2P(A or B) - 1

Now we can substitute this expression for P(A) into the previous equation to get:

P(A or B) = 0.5P(A) + 0.5

P(A or B) = 0.5(2P(A or B) - 1) + 0.5

P(A or B) = P(A or B)

This confirms that the formula is correct and that P(A or B) = 0.5P(A) + 0.5. We can substitute the given value of P(A and B) into the formula for P(A) to get:

P(A or B) = 0.5P(A) + 0.5

P(A or B) = 0.5(2P(A and B) - 1) + 0.5

P(A or B) = 0.5(2 * 0.1 - 1) + 0.5

P(A or B) = 0.05 + 0.5

P(A or B) = 0.55

Therefore, the probability that A or B (or both) occur is 0.55.

Learn more about probability here:

https://brainly.com/question/32004014

#SPJ11

Answer: 12 friends

Step-by-step explanation:

Answer:

2.5 miles

Step-by-step explanation:

Answer:

The actual trail length is 2.5 miles.

Step-by-step explanation:

Let's solve this. 0.5 inches on the scale = 1 mile. Since the trailer is 1.25 inches long on the scale, let's first multiply 0.5 by 2. You would get 1 inch on the scale, which would be 2 miles.

2 miles = 1 inch on the scale. But it says 1.25, so since 0.5 inches is 1 mile, then 0.25 inches is 0.5 miles. Add 2 miles and 0.25 miles, and you will get 2.5 miles.

The trailer length is 2.5 miles.

Answer:

Answer is

387420489

Step-by-step explanation:

Use ur calculator

Answer: 58 1/3 in^3.

Step-by-step explanation: To find the volume of a pyramid, you need to multiply the length, width, and height and divide it by 3.  The length and width are both 5 and the height is 7, so the equation is 5 x 5 x 7.  The answer to that is 175.  Now, you have to divide 175 by 3, which is 58.33, or 58 1/3, which is your answer.

Let me know if this is right! :)

Answer:

Hello,

10,070

Step-by-step explanation:

100% - 12% = 88% = 0.88

28,000 x 0.88^8 = 10,069.76...

The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

Learn more about function  here: brainly.com/question/30721594

#SPJ11

Answer:

Step-by-step explanation:

The distance between A and M i.e JM = M - J = 5-(-19)

JM = 5+19

JM = 24

If JK:KL:KM = 2:1:3

The total ratio = 2+1+3

Total ratio = 6

Dividing each length based on ratio

length JK = 2/6 * JM

JK = 1/3 * 24

JK = 8

length KL = 1/6 * JM

KL = 1/6 * 24

KL = 4

length KM = 3/6 * JM

KM = 1/2 * 24

KM = 12

Hence the value of KM is 12

Answer:

7 cents per centimeter

Step-by-step explanation:

Answer:

(2l + 2w) + (a + b + c)

Step-by-step explanation:

The formula for the perimeter of a rectangle is

P = 2l + 2w

so if you substitute, it becomes

P = 2(12) + 2(2)

= 24 + 4

= 28

For the perimeter of a triangle the correct formula would be

P = a + b + c

The missing side in the triangle is 3 because 15 - 12 is 3.

If you substitute, it becomes

P = 2 + 3 + 6

P = 11

If we add both perimeters together we get the full perimeter of the figure which is

28 + 11 = 39

I am not sure if you wanted the answer as well but just in case :)

Answer: 3\(\sqrt{2}\)

Answer:

(5x + 7)² = 25x² + 70x + 49 ⇒ C

Step-by-step explanation:

The steps of solving the square binomial: (ax + b)²

1. (ax + b)² = (ax + b)(ax + b)

2. (ax + b)(ax + b) = (ax × ax) + (ax × b) + (b × ax) + (b × b) = a²x² + abx + abx + b²

3. Add the like terms ⇒ a²x² + (abx + abx) + b² = a²x² + 2abx + b²

Then (ax + b)² = a²x² + 2abx + b²

Let us use the same steps to solve the question

∵ (5x + 7)² = (5x + 7)(5x + 7)

∴ (5x + 7)(5x + 7) = (5x)(5x) + (5x)(7) + (7)(5x) + (7)(7)

∴ (5x + 7)(5x + 7) = 25x² + 35x + 35x + 49

→ Add the like terms

∵ 25x² + 35x + 35x + 49 = 25x² + (35x + 35x) + 49 = 25x² + 70x + 49

∴ (5x + 7)(5x + 7) = 25x² + 70x + 49

→ Then equate (5x + 7)² by the right side above

∴ (5x + 7)² = 25x² + 70x + 49

The z test statistic needed for this hypothesis test is 0.75 .

Z test is a statistical test that is conducted on data that approximately follows a normal distribution. The z test can be performed on one sample, two samples, or on proportions for hypothesis testing. It checks if the means of two large samples are different or not when the population variance is known.

NOW,

sample proportion =  p = x / n = 0.23

Test statistics

z = ( p - p0 ) / \(\sqrt{ p0*(1-p0)}\) / n

= ( 0.23 - 0.20) /  \(\sqrt{ (0.20*0.80) / 100}\)

= 0.75

To know more about " Variation"

https://brainly.com/question/25215474

#SPJ4

While making a perfect square for the given quadratic equation \(\rm x^2+3x+c=\frac{7}{4} +c\) the value of c is 9/4

It is given that the quadratic equation  \(\rm x^2+3x+c=\frac{7}{4} +c\) while forming the perfect square.

It is required to find the value of c.

It is defined as the equation of polynomial of degree two. The standard form of the quadratic equation is as follows:

\(\rm ax^2+bx+c=0\)  where \(\rm a\neq 0\)

We have a quadratic equation:

\(\rm x^2+3x+c=\frac{7}{4} +c\)

We know that we can make any quadratic equation into a perfect square by the perfect square trinomial method as follow:

\(\rm ax^2+bx+c=0\\\rm ax^2+bx=-c\\\rm ax^2+bx+(\frac{b}{2a})^2 =-c+(\frac{b}{2a})^2\\\)

So, the value of 'c' would be:

\(\rm c=(\frac{b}{2a})^2\\\)  here b=3 and a=1 by comparing the equation to the standard equation.

\(c=(\frac{3}{2\times1} )^2\\c=(\frac{3}{2} )^2\\c=\frac{9}{4}\)

Thus,  while making a perfect square for the given equation the value of c is 9/4

Know more about the quadratic equation here:

https://brainly.com/question/2263981

Answer:

9/4

Step-by-step explanation:

correct on edge

The correct answer is a. H0: u≥2 hours and H1:u<2 hours. When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n=13, and with the population standard deviation unknown, the critical value is as follows:

To determine the critical value, we need to use the t-distribution since the population standard deviation is unknown.

Using a t-distribution table or calculator with 12 degrees of freedom (n-1), a one-tailed test, and a significance level of 0.025, the critical value is 2.1604.

If the test statistic is greater than or equal to this value, we can reject the null hypothesis in favor of the alternative hypothesis, which is a right-tailed hypothesis.

To learn more about right-tailed hypothesis, refer:-

https://brainly.com/question/17199362

#SPJ11

The standard form of a hyperbola with center (h,k) is

We know the vertices are at (5,0) and (-5,0)

The vertices are at (h+a,k) and ( h-a,k)

The center must be at (0,0) and the a value is 5

The coordinates of the foci are at ( h+c,k) and ( h-c, k) and we know one of the foci is at (6,0)

c is equal to 6

We know that c^2 = a^2+b^2

6^2 = 5^2 + b^2

36 = 25+b^2

11 = b^2

We can write the equation

The wingspan of the new model will be 2 times larger than the wingspan of the first model.

A scale model is a physical model of an object. Scale models are often used in engineering, architecture, and filmmaking, among other fields, to simulate the appearance or functionality of real-world objects.

According to the question, 1 cm of the scale model equals 6 meters of the airplane. Thus, to find the actual wingspan of the airplane, you can multiply the wingspan of the scale model by the ratio of the actual wingspan to the wingspan of the scale model, as shown below:

Wingspan of the airplane = Wingspan of the model × Ratio

To convert the scale model ratio from 1 cm = 6 meters to 1 cm = 3 meters, divide by 2. Since Selena's model has a wingspan of 10.7 cm, you can calculate the wingspan of the actual airplane using the equation above, as shown below:

Wingspan of the airplane = 10.7 × 6/1 = 64.2 m (for the first model)Wingspan of the airplane = 10.7 × 3/1 = 32.1 m (for the new model)

Now you can compare the wingspan of the two models to determine how the wingspan of the new model compares to the wingspan of the first model.

The wingspan of the new model will be 2 times larger than the wingspan of the first model, since 64.2 ÷ 32.1 = 2. Therefore, the correct answer is that the wingspan of the new model will be 2 times larger than the wingspan of the first model.

Know more about model here:

https://brainly.com/question/11894541

#SPJ11

To complete the teacher constructor so that the tester runs correctly, you need to include the necessary code to initialize the variables for the person and employee attributes.

In the constructor, you should include code to initialize the variables for both the person and employee attributes. You can do this by using the appropriate parameter list and assigning the parameter values to the corresponding variables. .

For example, if the person attribute is represented by a variable called "person" and the employee attribute is represented by a variable called "employee", your constructor code could look like this:

public Teacher(String personName, int employeeID) {
   person = personName;
   employee = employeeID;
}

In this example, the constructor takes two parameters - personName and employeeID - and assigns them to the person and employee variables, respectively.

By including the code shown above in the teacher constructor, you will properly initialize the person and employee attributes, allowing the tester to run correctly.

To know more about constructor visit:

https://brainly.com/question/13267121

#SPJ11

Answer:

domain : all real

range : 6

Step-by-step explanation:

domain is the value of x coordinate and they are all real numbers here .

range is equal to (maximum - minimum) = 8 - 2 = 6