Which expression is equivalent to 2(4f+2g)

The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).

To find an ordered triple representing \(3u - 2v\),

where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),

we can perform the following operations:

\(3u = 3(5, -2, 3)\)

\(3u = (15, -6, 9)\)

\(2v = 2(1, 1, 2)\)

\(2v = (2, 2, 4)\)

Now, subtracting 2v from 3u gives:

\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)

\(3u - 2v = (15-2, -6-2, 9-4)\)

\(3u - 2v = (13, -8, 5)\)

Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).

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If demand had the same elasticity for a price decline from $1.00 to $0.50 as it does for the decline from $1.50 to $1, then cutting the price from $1.00 to $0.50 would result in a proportional increase in quantity demanded, similar to the increase from $1.50 to $1.

What formula we can use?

Danny "Dimes" Donahue is a young entrepreneur who sells homemade brownies. He sells 100 brownies at a price of $1.50 each, and 300 brownies at a price of $1 each. To determine the elasticity of demand over his price range, we can use the formula:

% change in quantity demanded / % change in price

When the price of the brownies decreases from $1.50 to $1, the quantity demanded increases from 100 to 300, which is a 200% increase. Therefore, the % change in quantity demanded is:

(300 - 100) / 100 = 2

When the price decreases from $1 to $0.50, the quantity demanded increases from 300 to 500, which is a 66.7% increase. Therefore, the % change in quantity demanded is:

(500 - 300) / 300 = 0.667

Since the % change in quantity demanded is greater when the price decreases from $1.50 to $1 than it is when the price decreases from $1 to $0.50, the demand is elastic over this price range.

If demand had the same elasticity for a price decline from $1.00 to $0.50 as it does for the decline from $1.50 to $1, then cutting the price from $1.00 to $0.50 would result in a proportional increase in quantity demanded, similar to the increase from $1.50 to $1.

In this case, Danny's total revenue would increase because the increase in quantity demanded would outweigh the decrease in price.

However, without more information about the specific elasticities, we cannot determine the exact impact on Danny's revenue.

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Answer:

13

Step-by-step explanation:

Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

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With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.

a. 3, 4, 8 - will not make a triangle

3 + 4 = 7 > 8 = false

3 + 8 = 11 > 4 = true

4 + 8 = 12 > 3 = true

b. 7, 6, 12 - will make a triangle

7 + 6 = 13 > 12 = true

7 + 12 = 19 > 6 = true

6 + 12 = 18 > 7 = true

c. 5, 11, 13 - will make a triangle

5 + 11 = 16 > 13 = true

5 + 13 = 18 > 11 = true

11 + 13 = 24 > 5 = true

d. 4, 6, 12 - will not make a triangle

4 + 6 = 10 > 12 = false

4 + 12 = 16 > 6 = true

6 + 12 = 18 > 4 = true

e. 4, 6, 10 - will not make a triangle

4 + 6 = 10 > 10 = false

4 + 10 = 14 > 6 = true

6 + 10 = 16 > 4 = true

Hope this helps!

Answer:

\(\{p_1,p_2\}$ is a basis of Span\{p_1,p_2,p_3\}\)

Step-by-step explanation:

Given the polynomials:

\(p_1(t) = 1 + t\\ p_2(t) = 1 -t\\p_3(t) = 2\\\)

On Inspection

\((1+t)+(1-t)=1+1+t-t=2\\$Therefore:\\p_1(t)+p_2(t)=p_3(t)\)

By the Spanning Theorem  

If one vector in S is a linear combination of the others, we can delete it and get a subset (one vector smaller) \(S' \subseteq S\) that has the same span.

Therefore, since \(p_3(t)=p_1(t)+p_2(t)\)

\(Span\{p_1,p_2,p_3\}=Span\{p_1,p_2\}\)

\(p_1$ and p_2\) are linearly independent because \(p_1\) cannot be written in terms of \(p_2\).

Therefore, \(\{p_1,p_2\}$ is a basis of Span\{p_1,p_2,p_3\}$ as required.\)

A linear dependence relation among the polynomials p₁, p₂, and p₃ is given as p₁ + p₂ = p₃

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Consider the polynomials are

\(\rm p_1(t) = 1 + t\\\\ p_2(t) = 1 -t \\\\ p_3(t) = 2\)

a linear dependence relation among p₁, p₂, and p₃ will be

Let add the  p₁ and p₂, we have

1 + t + 1 -t = 2

We get the polynomial p₃.

Thus the linear relation is p₁ + p₂ = p₃

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Answer:

the net of a cylinder has 3 parts to it

Answer:

B three

Step-by-step explanation:

The net of a cylinder consists of three parts: One circle gives the base and another circle gives the top. A rectangle gives the curved surface.

Answer:

0.9624 = 96.24% probability that the sample proportion will differ from the population proportion by less than 3%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Suppose a large shipment of televisions contained 9% defectives

This means that \(p = 0.09\)

Sample of size 393

This means that \(n = 393\)

Mean and standard deviation:

\(\mu = p = 0.09\)

\(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.09*0.91}{393}} = 0.0144\)

What is the probability that the sample proportion will differ from the population proportion by less than 3%?

Proportion between 0.09 - 0.03 = 0.06 and 0.09 + 0.03 = 0.12, which is the p-value of Z when X = 0.12 subtracted by the p-value of Z when X = 0.06.

X = 0.12

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.12 - 0.09}{0.0144}\)

\(Z = 2.08\)

\(Z = 2.08\) has a p-value of 0.9812

X = 0.06

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.06 - 0.09}{0.0144}\)

\(Z = -2.08\)

\(Z = -2.08\) has a p-value of 0.0188

0.9812 - 0.0188 = 0.9624

0.9624 = 96.24% probability that the sample proportion will differ from the population proportion by less than 3%

Answer:

  1/63

Step-by-step explanation:

There are a couple of ways to do this.

Look for the GCF of the numerators when a common denominator is used.

  GCF(3/7, 4/9) = GCF(27/63, 28/63) = (1/63)·GCF(27, 28)

  GCF(3/7, 4/9) = 1/63

__

Use Euclid's algorithm. If the remainder from division of the larger by the smaller is zero, then the smaller is the GCF; otherwise, the remainder replaces the larger, and the algorithm repeats.

  (4/9)/(3/7) = 1 remainder 1/63*

  (3/7)/(1/63) = 27 remainder 0

The GCF is 1/63.

__

* The quotient is 28/27 = 1 +1/27 = 1 +(1/27)(3/7)/(3/7) = 1 +(1/63)/(3/7) or 1 with a remainder of 1/63.

_____

Additional comment

3/7 = (1/63) × 27

4/9 = (1/63) × 28

Answer:

The answer is A

Step-by-step explanation:

I did the test and I made a 100.

Mark me as branilest

Answer:

The answer is A. Hope it helps!

Answer:

48 unit

Step-by-step explanation:

36=x75%

x=36/75% = 48

double check just in case :)

Answer:R=20%

Step-by-step explanation:

The approximate probability P that the total weight of the passengers exceeds 4500 pounds is 10.03%.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes

Total of 22 is more than 4500 is equivalent to average of 22 is more than \($\frac{4500}{22}\)=204.545

\($$\begin{aligned}P(\bar{x} > 204.545) & =1-P(\bar{x} < 204.545) \\& =1-P\left(\frac{\bar{x}-\mu}{\sigma / \sqrt{u}} < \frac{204.545-195}{35 / \sqrt{22}}\right) \\& =1-P(z < 1.2792) \\\end{aligned}$$\)

                        = 1 - 0.8997

                        = 0.1003

                        = 10.03%

Therefore, the approximate probability P that the total weight of the passengers exceeds 4500 pounds is 10.03%.

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Let's denote the three numbers A, B, and C.

Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.

Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.

Let's list the possible combinations:

These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).

she could have scored the 10 points in 302400 ways.

The given parameters are

n= total points =10

r1 =one-point free throw = 1

r2 = two-point field goals = 2

r3 =  three-point field goals = 3

The number of ways (k) she could have scored the points is:

k=(n!)/(r1!×r2!×r3!)

The factorial function is a mathematical formula represented by an exclamation mark "!".

k= 10!/(1!×2!×3!)

k= 3628800/(1×2×6)

k= 302400

so.. she could have scored the 10 points in 302400 ways.

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Answer:

5h-fgtx56=y2-6

Step-by-step explanation:

sorry if wrong:(

The point in Figure 2 that corresponds to point L in Figure 1 is the midpoint of line segment NP.

When two figures are congruent, it means that they have the same shape and size. This implies that corresponding points in the two figures have the same position and distance from each other.

In Figure 1, the points I, J, L, K, N, P, and Q are labeled. To find the point in Figure 2 that corresponds to point L, we need to look for a point that has the same relative position and distance as point L in Figure 1.

From Figure 1, we can see that point L is the midpoint of the line segment JK. Therefore, to find the corresponding point in Figure 2, we need to look for a point that is the midpoint of the line segment that corresponds to JK. In Figure 2, the line segment that corresponds to JK is NP, and the midpoint of NP corresponds to the point that is equivalent to point L. Therefore, the point that corresponds to point L in Figure 2 is the midpoint of line segment NP.

It is important to note that identifying corresponding points in congruent figures is a fundamental concept in geometry and is often used to solve problems involving congruence and similarity.

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Answer:

No, it is not

Step-by-step explanation:

Answer:

No it is not

Step-by-step explanation:

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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The solution for the given expression is 16.

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

First, you apply the Power Rules - Power for  \((\frac{2^2x^2y}{xy^3} )^2}\). For this rule, you should repeat the base and multiply the exponents. Thus, the result will be:\(\frac{16x^4y^2}{x^2y^6}\).

After that, you should apply the  Power Rules - Division . For this rule, you should repeat the base and  subctract the exponents. Thus, the result will be:\(\frac{16x^2}{y^4}\).

Now, you should replace the variable x by 4 and the variable y by 2. Thus, the result will be:\(\frac{16*4^2}{2^4}=\frac{16*16}{16} =16*1=16\)

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Answer:

Step-by-step explanation:

?

Since an actual mosquito is about 1.6 cm, the scale factor of the diagram is equal to 2.

In Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (actual figure):

Scale factor = Dimension of image (new figure)/Dimension of pre-image (actual figure)

Conversion:

1 cm = 10 mm

1.6 cm = 1.6 × 10 = 16 mm.

Substituting the given parameters into the scale factor formula, we have the following;

Scale factor = 32/16

Scale factor = 2.

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Answer:

Raleigh.

Step-by-step explanation:

Just look for the Fahrenheit with the smallest number.

Answer:Raleigh

Step-by-step explanation:Your going to go for the smallest and I just took the quiz

Answer:

Y x Y x Y x Y

Step-by-step explanation:

The exponent tells how many times that number is multiplied.

So, x^3 is the same as multiplying x 3 times.

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

Answer:

Step-by-step explanation:

Let the edge be r, a rational number.

Then the following are:

A) The diagonal of one of the cube's faces,

B) The volume of the cube,

C) The surface area of the cube,

D) The area of one of the cube's faces,