(9x2 – 8) + (9x2 + 9x + 3)

Answer:

The value of x is 4

Step-by-step explanation:

A full rotation is = to a total of 360 degrees so if you have

280  and  2x you place them into an equation to find x

The equations would be

2x + 280 = 360

since both of them combined should be 360

now we solve with simple algebra

2x + 280 = 360

subtract 280 from both sides

2x = 80

divide both sides with 2

x = 40

meaning

The value of x is 4

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

The minimum sample size needed to guarantee a given margin of error increases , the correct option is (b) .

What is Margin Of Error ?

The term margin of error is defined as an estimate of a small sample that is drawn from a relatively large population data.

the margin of error is usually governed by the parameters such as the standard deviation , sample size and desired confidence level.

to find missing term in the given statement , let us consider the values ,

where σ ⇒ Standard deviation for population

and m as "Margin of error"  and Z as "Empirical value of Z-score" at a given confidence level .

So , minimum sample size for given confidence level is given by

⇒ (Z×σ)²/m²

from above formula we can conclude that minimum sample size is directly related to population's standard deviation.

Therefore, the minimum sample size required would "increase" with the increase in population "standard deviation" .

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Hi,

Answer is $0.19

Step-by-step explanation:-

We know that:-

15 dimes = $1.50

20 nickels = $1.00

8 quarters = $2.00

half dollar = $0.50

19 pennies = $0.19

Total = $5.19

Since Billy spended $5, so,

$5.19 - $5 = $0.19

Hope it helps you...

Answer: A.culture within the city-state

C.loyalty to the polis

E.different languages

Step-by-step explanation:

The options include:

A.culture within the city-state

B.trips to the agora

C.loyalty to the polis

D.separation by land and sea

E.different languages

The characteristics that pulled the Greek city apart were:

• culture within the city-state

• loyalty to the polis

• different languages

Due to the fact that every oolis possessed their own culture, there was loyalty to the polis. While Spartans focused on war and competition, Athens focus was on culture and democracy. Also, the different languages was a distraction as it didn't help in uniting the people.

Answer:

Step-by-step explanation:

false true true false

Answer:

false true true and false

Step-by-step explanation:

Answer: 31 is the only prime number here since its factors are 1 and itself

Step-by-step explanation: since 70 has the factors, 10, 7, 5, 2, etc, it cannot be classified as a prime number.

85 and 49 have more factors than 1 and itself so it cannot be classified as a prime number either

Based on the information supplied, the estimated age of archaeological sample is = 0.183536  years.

The given half life is 5730.

t₆.₅ = Ln2/k

k= ln 2/ 5730

The rate of change,

k = 0.00012 year⁻¹

Given that 15 % of the 14C is still present,

|A1|/|A2| = e ⁻₍kt₎3

Consequently,

|A1|/|A2| = 0.18

As a result of solving the equation, we obtain,

ln(0.18)= -1.7147

t = -0.31471/ —1.7147

= 0.183536  years

The half-life is the amount of time required for a quantity (of material) to drop to half of its initial value (symbol t12). The phrase is widely used in nuclear physics to emphasise how quickly unstable atoms decay radioactively or how long stable atoms remain. The term is often used to denote any type of exponential decay (or, very infrequently, nonexponential decay).

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The minimum value is 0.5 and the maximum value is 3.5.

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Answer:

maximum score =75

minimum=0

Step-by-step explanation:

Answer:

  16x⁸y³

Step-by-step explanation:

You want to simplify (4x⁴y³)(4x⁴).

The relevant rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

The simplified form is ...

  \((4x^4y^3)(4x^4) =(4\cdot4)x^{4+4}y^3=\boxed{16x^8y^3}\)

Answer:

x=0.5 and y=5

Step-by-step explanation:

8x+7y=39...eqn(1)×-14

4x-14y=-68...eqn(2)×7

we now have,

-112x-98y=-546

-(28x-98y=-476)

-140x÷-140 =-70÷-140

x=0.5

to solve for y, we substitute (x=0.5) into eqn (1) or eqn 2 which ever you want...

so I'm using eqn 1.

8x+7y=39

8(0.5)+7y=39

7y=39-4

7y÷7=35÷7

y=5

therefore, x=0.5, y=5

proof: substitute both x and y values to get you the same answer as the original solutions in both equations.

we have,

8(0.5)+7(5)=39

4(0.5)-14(5)=-68

Answer:

1/2 or 1.5 and 5

(1/2 , 0.5)

Step-by-step explanation:

i got it right...

sorry i want get points

The equation to get m for a given value of g is:

(1800 - 10g)/45 = m

Ok, here we have the equation:

1,800 = 10g + 45m

We want to find an equation so we can find the value of m for a given value of g, then, we need to isolate m in the above equation:

First, we can subtract 10g in both sides, so we get:

1,800 - 10g = 45m

Now we can divide both sides by 45, so we get:

(1800 - 10g)/45 = m

That is the equation that we can use to find the value of m, we just need to evaluate it in the given value of g.

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Answer:

The answer is m = -2/9 g + 40

Answer:

$75per hour

Step-by-step explanation:

15×5=75 jshshhsbw

From the two functions function 2 has the highest maximum value.

Given two functions,one is y=-\(x^{2} -2x-2\) and f(-2)=1,f(-1)=6,f(0)=9,f(1)=10,f(2)=9,f(3)=6.

We ae required to choose a function which is having highest maximum possible value.

Function is like a relationship between two or more variables expressed in equal to form. Each value of x of a function has some value of y.

The highest value in the second function is 10 which is at x=1. Put the value of x=1 in y=-\(x^{2} -2x-2\).

y=-1-2-2

y=-5

So it might not be highest value of this function.So the second function has highest maximum value of 10 at x=1.

Hence the second function has highest value.

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Answer:

D’=(3,3); F’=(-2,-2); E’= (-5,0)

Step-by-step explanation:

To find the reflection over the y axis (the line x=0), you just need to change the x either from positive to negactive or the opposite.

Answer:

(6, 5)

Step-by-step explanation:

The new values for the mean and standard deviation are M = 150 and s = 15. (1)

When every score in a sample is multiplied by a constant factor, the mean of the sample is also multiplied by the same constant factor. So, the new mean would be 3 * m = 3 * 50 = 150.

However, the standard deviation is not affected by multiplying every score in a sample by a constant factor. To see why this is the case, consider that the standard deviation is a measure of the spread of the scores around the mean.

Multiplying every score in a sample by a constant factor stretches or shrinks all of the scores by the same amount, so the spread of the scores around the mean remains unchanged.

Therefore, the new standard deviation would be the same as the original standard deviation, s = 5. So, the new values for the mean and standard deviation are M = 150 and s = 15.

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The difference written in scientific notation is:

1.1×10⁴ - 5.6×10² = 1.044×10⁴

Here we have two numbers in scientific notation, and we want to find the difference between them, it is:

1.1×10⁴ - 5.6×10²

To find that difference, we need to find a common factor between the two numbers, we can write the first one as:

1.1×10⁴ = 110×10²

Then we can take the difference:

1.1×10⁴ - 5.6×10²

110×10² - 5.6×10² = (110 - 5.6)×10² = 104.4×10²

104.4×10² = 1.044×10⁴

That is the difference in scientific notation.

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Answer:

equal to 1

Step-by-step explanation:

9 x 1/9 = 9/9 = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

equal to one

Step-by-step explanation:

9 times 1/9 is one

The lighthouse keeper should land approximately 3 miles from the point on the shore nearest to the lighthouse in order to make the fastest possible time to the restaurant.

To determine the fastest possible time for the lighthouse keeper to reach the restaurant, we need to calculate the time it takes for him to row to the shore and then walk to the restaurant. The key is to minimize the total time taken.

Let's denote the distance from the landing point to the restaurant as x miles. The time taken to row to the shore can be calculated as 7 miles divided by the rowing speed of 2.7 mph, which is approximately 2.59 hours.

The time taken to walk from the landing point to the restaurant can be calculated as (14 + x) miles divided by the walking speed of 4 mph.

To minimize the total time, we need to find the value of x that minimizes the sum of the rowing time and the walking time. So, we can set up the equation:

Total time = 2.59 hours + (14 + x) miles / 4 mph

To find the value of x that minimizes the total time, we can take the derivative of the equation with respect to x, set it equal to zero, and solve for x.

However, given that we are asked to round the answer to the nearest whole number, we can simplify the problem by considering the value of x that yields the smallest whole number total time.

By trying different values of x, we can find the value that minimizes the total time.

When x = 0, the total time is 2.59 + 14 / 4 = 6.59 hours.

When x = 1, the total time is 2.59 + 15 / 4 = 6.84 hours.

When x = 2, the total time is 2.59 + 16 / 4 = 7.09 hours.

Continuing this process, we find that the smallest whole number total time occurs when x = 3.

Therefore, the lighthouse keeper should land approximately 3 miles from the point on the shore nearest to the lighthouse in order to make the fastest possible time to the restaurant.

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The correct choice is A.

a. X = number of academic credits a VCU student is taking and

Y = number of hours of paid work the student does each week.

Here, we have,

given that,

Of interest is to study the relationship between the number of academic credits a VCU student is taking this semester and the number of hours of paid work the student does each week.

we know that,

an independent variable is exactly what it sounds like. It is a variable that stands alone and isn't change by the other variables you are trying to measure.

A dependent variable is that what can measure in the experiment and what is affected during the experiment. The dependent variable responds to the independent variable. It is called dependent because it "depends" on the independent variable.

Here, the correct choice is A.

i.e. a. X = number of academic credits a VCU student is taking and

Y = number of hours of paid work the student does each week.

Hence, The correct answer is a.

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Answer:

(4 , 8)

Step-by-step explanation:

translation: -2 , 3       (-6 , -7) -> (-8 , -4)

Reflection y = -x:        (-8 , -4) -> (4 , 8)

Events, of randomly drawing a King OR a card with an even number describe by a) Mutually Exclusive.

The events of randomly drawing a King and drawing a card with an even number are mutually exclusive. This means that the two events cannot occur at the same time.

In a standard deck of 52 playing cards, there are no Kings that have an even number.

Therefore, if you draw a King, you cannot draw a card with an even number, and vice versa.

The occurrence of one event excludes the possibility of the other event happening.

It is important to note that mutually exclusive events cannot be both independent and conditional. If two events are mutually exclusive, they cannot occur together, making them dependent on each other in terms of their outcomes.

The correct option is (a) Mutually Exclusive.

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Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

Answer:

-50

Step-by-step explanation:

The average rate of change is synonymous with the slope. Therefore, we will find the slope of the function from x=0 to x=3.

So, we will use the endpoints of the function.

At x=0, f(x)=150. Thus, we have the point (0, 150).

At x=3, f(x)=0. Thus, we have the point (3, 0).

Now, we can use the slope formula:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Let (0, 150) be (x₁, y₁) and let (3, 0) be (x₂, y₂). Substitute:

\(m=\frac{0-150}{3-0}=-150/3=-50\)

Therefore, the average rate of change for the first three seconds is -50.

Let

a------------> first number

b------------> second number

we know that

a+b=-7--------> a=-7-b----------> equation 1

a-b=14--------> equation 2

I substitute 1  in 2

(-7-b)-b=14-------------> -7-b-b=14----------> -7-2b=14-------> 2b=-7-14

2b=-21---------> b=-10.5

a=-7-b-------> a=-7-(-10.5)-----> a=-7+10.5------> a=3.5

the answer is

the two numbers are

a=3.5

and

b=-10.5

now gimme brainliest