q17 ANSWER FOR 20 POINTS

The scale factor used in the dilation is -2

From the question, we have the following parameters that can be used in our computation:

Figure with vertices at L(1, 1)

Image with vertices at L'(-2, -2)

The scale factor is calculated as

Scale factor  = L'/L

Substitute the known values in the above equation, so, we have the following representation

Scale factor  = (-2, -2)'/(1, 1)

Evaluate

Scale factor  = -2

Hence, the scale factor is -2

Read more about scale factor at

brainly.com/question/29229124

#SPJ1

Mr.Kimble spent an amount of $636.17 altogether on gas.

Today, the US Retail Gas Price is at a current level of 3.366, up from 3.331 last week and down from 3.381 one year ago. Hence, the amount of $3.366 will be used in our computation.

Data

He used 12.6 gallons of gas for each of his 15 trips.

The total amount of money spent altogether on gas if the price is $3.366, is computed as follows:

= ($3.366 * 12.6 gallons) * 15 trips

= $42.4116 * 15 trips

= $636.17400

= $636.17.

Read more about price

brainly.com/question/19104371

#SPJ1

Lily would predict the population of mussels to be 58 after one year if the population grows at the same percentage rate each month

The population of mussels increased by 22 - 10 = <<22-10=12>>12 mussels in 3 months. The rate of increase per month is 12 mussels / 3 months = 4 mussels/month.

Therefore, the equation for the population of mussels after one year is y = 4 mussels/month * 12 months + 10 mussels, or y = 48 mussels + 10 mussels.

The final equation is y = 58 mussels.

This means that Lily would predict the population of mussels to be 58 after one year if the population grows at the same percentage rate each month.

To learn more about the percentage, visit:

brainly.com/question/13450942

#SPJ4

A grain of rice contains about 0.029 milliliters of volume.

A grain of rice is a tiny, ingestible seed that comes from either Oryza sativa (Asian rice) or Oryza glaberrima, two types of grass (African rice). A single grain of rice is round or oval in shape and measures about 3–4 millimeters in length. A grain of rice has a volume of 0.029 milliliters and a mass of approximately 0.05 grams. The type of rice and the method of processing affect the size and form of a single grain of rice. Over half of the world's population relies heavily on rice as a source of nutrition and as a staple food in many different cultures. Sushi, risotto, rice pudding, and many more recipes all use rice as an ingredient.

Learn more about volume here

https://brainly.com/question/16134180

#SPJ4

Answer:

here :)

Step-by-step explanation:

Answer:

hope it help u sorry for dirty handwriting

The equation of the line is (y - 2) = 1.5(x - 4)

What is line ?

Euclid described a line as an "unextended length" that "stands equally with respect to its points"; he introduced the postulates as the main unprovable properties from which he constructed all of geometry, now called Euclidean geometry to avoid confusion with other geometries introduced from the late 19th century (such as non-Euclidean, projective and affine geometry).

In modern mathematics, given the multiplicity of geometries, the concept of line is closely related to the way geometry is described. For example, in analytic geometry, a plane line is often defined as a set of points whose coordinates correspond to a given linear equation, but in a more abstract setting, such as drop geometry, the line may be an object other than the set. of the points located on it.

When geometry is described by a set of axioms, the concept of line is usually left undefined (so-called primitive object). The properties of the lines are then determined by the axioms that refer to them. One of the advantages of this approach is the flexibility it gives users of the geometry. Thus, in differential geometry a line can be interpreted as a geodesic (shortest path between points), while in some projective geometries a line is a 2-dimensional vector space (all linear combinations of two independent vectors). This flexibility also extends beyond mathematics and allows physicists, for example, to think of the path of a light ray as a line.

Given, \(y = 1.5x - 6....(1)\)

We are comparing equation (1) with y = mx+c and get m = 1.5

It is also given required equation passes through the point (4,2)

We know, if slope of a equation m and the equation passes through (a,b) then equation of the line (y-b) = m (x-a)

Here,

\(m = 1.5 \\ a = 4 \\ b = 2\)

So, required equation of the line \((y - 2) = 1.5(x - 4)\)

Line related one more question:

https://brainly.com/question/17188072

#SPJ2

The description that most accurate for a Zero-Based Budget is:

b. You put every dollar of your take-home pay into a budget category each month.

A zero-based budget is a budgeting method in which your total income minus your total expenses equals zero. This means that every dollar of your income is assigned a specific purpose, either to be saved or spent on specific expenses. The goal of this method is to ensure that you have accounted for all of your income and that you do not have any leftover funds that are not allocated to a specific purpose. In this sense, option b, "You put every dollar of your take-home pay into a budget category each month" is the most accurate description of a zero-based budget.

A zero-based budget can be applied to any source of income, whether it be a salary, freelance work, rental income, or any other type of income. The key is to allocate every dollar of that income to a specific purpose, such as savings, expenses, or investments, to ensure that all of the income is accounted for. This budgeting method can help individuals and households to better manage their finances by ensuring that they are not overspending and that they have a plan for all of their income.

Learn more about Zero-Based Budget Description here:

https://brainly.com/question/29897185

#SPJ4

Answer:

yes

Step-by-step explanation:

yes, her statement was true.

Answer:  no

Step-by-step explanationn.  .......................................................w:eorkeok,feoferkeorkoe

=======================================================

Work Shown:

See below for the diagram.

(person height)/(person shadow) = (tree height)/(tree shadow)

x/3 = 6/4.5

x*4.5 = 3*6

4.5x = 18

x = 18/4.5 ...... dividing both sides by 4.5

x = 4

The boy is 4 feet tall.

Counting to 20 in Spanish is a relatively straightforward process. The first step is to learn the numbers from 1 to 10, which are:

1 - uno

2 - dos

3 - tres

4 - cuatro

5 - cinco

6 - seis

7 - siete

8 - ocho

9 - nueve

10 - diez

Once you have these numbers memorized, it's easy to continue counting up to 20. Simply add the numbers from 11 to 19 to the base number, diez.

11 - once (diez + uno)

12 - doce (diez + dos)

13 - trece (diez + tres)

14 - catorce (diez + cuatro)

15 - quince (diez + cinco)

16 - dieciséis (diez + seis)

17 - diecisiete (diez + siete)

18 - dieciocho (diez + ocho)  

19 - diecinueve (diez + nueve)

20 - veinte

As you can see, the only exception is the number 15, which has its own unique word, "quince." Other than that, all of the numbers from 11 to 19 follow the same pattern of adding "diez" to the appropriate digit. And once you reach 20, you're done! It's important to note that Spanish has gendered nouns, so when counting objects, you will need to use the appropriate article and adjective to match the gender of the noun. For example, if you are counting "dogs," you would say "uno perro," but if you were counting "cats," you would say "una gata."

To know more about  straightforward process.  click here:

brainly.com/question/27992756

#SPJ4

Answer:

1  uno

2  dos

3  tres

4  cuatro

5 cinco

6 seis

7 siete

8 ocho

9 nueve

10 diez

11 once

12 doce

13 trece

14 catorce

15 quince

16 dieciséis

17 diecisiete

18 dieciocho

19 diecinueve

20 veinte

Step-by-step explanation:

The probability that the colour changes, while she is watching, is 1/7

Concept: Event probability = number of favorite results /Total number of results

It is given that the traffic light runs repeatedly in the following time cycle: green for 30 seconds, then yellow at 3  seconds, and then red for 30 seconds.

This means that the traffic light passes through 63 seconds to complete one-time cycle.

It is also given that Leah chooses a random 3 second time interval to watch the light.

We should find the probability that the color changes while Leah is looking.

The green light will change after 30 seconds and after three seconds it will change to yellow light, that is at 33 second it is yellow and after another 30 seconds it will change to red light.

Now let time t=0

The light changes at three different times: t=30,t = 33 and t = 63

This means that the light will change if Leah watches at intervals [27,30]

, [30,33] or [60,63]

Since each interval is 3 seconds and there are 3 intervals, Leah will have a chance of 9 seconds.

That makes a total of 9 seconds out of 63

⇒Probability that Leah watches the color change=Number of seconds she watches/Total seconds

=9/63=17

∴ The probability that Leah observes the color change is 1/7

For more information about probability, visit https://brainly.com/question/24756209

#SPJ4

Answer: D) $221.93

Step-by-step explanation: that's the answer on edge.

The solution is, the minimum monthly payment is $221.93. Among the choices, the answer is D.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

Solving for the future values of the credit card balances:

1260(1 + 0.12/12)^24

= 1599.8656571502122308900(1 + 0.18/12)^24

= 1286.55253073612259711290(1 + 0.09/12)^24

= 1543.37345291648033351200(1 + 0.16/12)^24

= 1649.0625893406018547

Adding the future balances to obtain total bill:

1599.8656571502122308 + 1286.5525307361225971 + 1543.3734529164803335 + 1649.0625893406018547

= 6078.85

Solving for the annuity A (monthly payments for each account):

1599.87 = A [(((1 + 0.12/12)^24) - 1) / (0.12/12)] A = 59.31

1286.55 = A [(((1 + 0.18/12)^24) - 1) / (0.18/12)]A = 44.93

1543.37 = A [(((1 + 0.09/12)^24) - 1) / (0.09/12)]A = 58.93

1649.06 = A [(((1 + 0.16/12)^24) - 1) / (0.16/12)]A = 58.76

Adding the annuities together to obtain the minimum monthly payment:59.31 + 44.93 + 58.93 + 58.76 = 221.93

Therefore, the minimum monthly payment is $221.93. Among the choices, the answer is D.

To earn more on addition click:

brainly.com/question/29560851

#SPJ5

The equation of the plane through the origin and the points (2, –4, 6) and (5, 1, 3) is - 9x + 12y + 11 x = 0.

The general equation of a plane through (0, 0, 0) is a(x - 0) + b(y - 0) + c(z - 0) = 0

Since the plane passes though the origin, the equation of the plane is given by ( x, y, z ) = 0. Simplify it so that you write the equation of the plane in the form a x + b y + c z = 0

ax + by + cx = 0...(1)

It will pass through B(2, -4, 6) and C(5, 1, 3) if

a(2) + b(-4) + c(6) = 0

2a - 4b + 6c = 0

a - 2b + 3c = 0 ...(2)

a(5) + b(1) + c(3) = 0

5a + b + 3c = 0 ... (3)

Solving (2) and (3) by cross-multiplication, we have

\(& \frac{a}{-6-3}=\frac{b}{15-3}=\frac{c}{1+10} \\\)

\(& \Rightarrow \frac{a}{-9}=\frac{b}{12}=\frac{c}{11}=\lambda\) (say) }

\(& \Rightarrow\) a = - 9 \(\lambda\), b = 12 \(\lambda\)  and c = 11 \(\lambda\)

Substituting the values of a, b and c in (1), we get

- 9 \(\lambda\) x + 12 \(\lambda\) y + 11 \(\lambda\) x = 0

- 9x + 12y + 11 x = 0

which is the required equation of the plane.

For more questions on equation of the plane

https://brainly.com/question/15683790

#SPJ4

Answer:

the answer is y=(×+4)^2 -19

Answer:

5.5m^2

the area of just the trench is 5.5 m^2

Step-by-step explanation:

The Area of trench only is the total area(trench and garden) minus the Area of garden

Area of trench only = total area(trench and garden) - Area of garden

Area = length × breadth

Substituting the given dimensions;

Total area = 3.5 × 3 = 10.5 m^2

Area of garden = 2.5×2 = 5 m^2

Area of trench only = 10.5 m^2 - 5 m^2

Area of trench only = 5.5m^2

the area of just the trench is 5.5 m^2

Answer:

5 1/5

Step-by-step explanation:

Answer:

2.56≥30

b≥12

Step-by-step explanation:

The  tip of the minute hand will travel approximately 264 inches between 9:00 am and 3:00 pm.

Find the circumference of a circle because the clock is circular :

C = 2 π r

= 2 π x 7 inches

= 14 π inches

This is the distance the minute hand travels in one hour.

Between 9:00 AM and 3:00 PM, the number of hours are:

= 3 pm - 9 am

= 6 hours

The distance travelled would be:

Distance = 6 hours x 14 π inches / hour

= 84 π inches

= 264 inches

Find out more on clocks at https://brainly.com/question/31203836

#SPJ1

A random sample of approximately 1067 registered voters is needed to estimate the proportion of voters planning to vote for Chavez with 95% confidence and a margin of error no greater than 0.03.

To estimate the proportion p of all registered voters in the city who plan to vote for Chavez with 95% confidence and a

margin of error no greater than 0.03, we need to determine the sample size. We can use the following formula for

sample size calculation:

\(n = (Z^2 × p × (1-p)) / E^2\)
Where:
- n is the sample size
- Z is the Z-score (1.96 for 95% confidence)
- p is the estimated proportion of voters planning to vote for Chavez
- E is the margin of error (0.03 in this case)

Since we don't know the true proportion of voters planning to vote for Chavez, we can use the most conservative

estimate (p = 0.5) to ensure the required margin of error:

\(n = (1.96^2 × 0.5 × (1-0.5)) / 0.03^2\)
n = (3.8416 × 0.25) / 0.0009
n = 0.9604 / 0.0009
n ≈ 1067

Therefore, a random sample of approximately 1067 registered voters is needed to estimate the proportion of voters

planning to vote for Chavez with 95% confidence and a margin of error no greater than 0.03.

for such more question on  random sample

https://brainly.com/question/24466382

#SPJ11

Answer:

the answer is 12.2 :)

Step-by-step explanation:

Answer:

No, because each output of altitude has more than one input of time. ... No, because the altitude is constant between 60 minutes and 130 minutes

Step-by-step explanation:

look at the graph

Answer: C

Step-by-step explanation:

Considering the technological advancement of the cell phone, customers perceive its value to be around $800. In this scenario, the economic value created is $450.

We can solve this by,

Cost: The expenses incurred by a firm while producing goods or providing services are known as cost.

Product: The item that is produced, processed, or delivered for sale is known as a product.

Value: The economic value of a product is determined by how much it is valued in the marketplace, which is a function of how much people are willing to pay for it. In the given scenario,

          Talkalot Corp. Incurs a cost of $350 to produce one unit of a cell phone. The company's management has priced the product at $600 in the market. Considering the technological advancement of the cell phone, customers perceive its value to be around $800.

       As per the scenario, the value created is:

          The value created = Perceived value - Cost Value created

                                          = $800 - $350

          The value created = $450

  Therefore, the economic value created in this scenario is $450.

To learn more about Product cost scenario visit: https://brainly.com/question/28294479

#SPJ11

A dot plot that corresponds to the values in the table include the following: dot plot B.

In Mathematics, a dot plot can be defined as a type of line plot that is typically used for the graphical representation of a data set above a number line, especially through the use of dots.

Based on the values contained in the table, the high school students' essays score on a scale of 0 to 10 should be plotted on a dot plot as follows:

An essay score of 3 would have 1 dot.

An essay score of 4 would have 1 dot.

An essay score of 5 would have 2 dots.

An essay score of 6 would have 5 dots.

An essay score of 7 would have 4 dots.

An essay score of 8 would have 7 dots.

An essay score of 9 would have 3 dots.

An essay score of 10 would have 2 dots.

Read more on dot plots here: brainly.com/question/18466974

#SPJ1

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ11

Answer:

7.6

14.8

23.2

Step-by-step explanation:

a = 1.6, a = 4, a = 6.8

3a + 2.8 when a = 1.6

= 3(1.6) + 2.8

= 4.8 + 2.8

= 7.6

3a + 2.8 when a = 4

3(4) + 2.8

= 12 + 2.8

= 14.8

3a + 2.8 when a = 6.8

= 3(6.8) + 2.8

= 20.4 + 2.8

= 23.2

Answer:

x= 56

Step-by-step explanation:

since angle DF is half a circle it has to = 180 so you subtract 64 from 180 then you subtract 60 from that

Answer:

6

Step-by-step explanation:

4 times 8 = 32. 56 - 32 = 24. 24 divided by 4 = 6.

Answer:

2^7

Step-by-step explanation:

2^3 x 2^4

= 2^(3+4)

= 2^7