What are the domain and range of y = -2(x-4)² + 1?
A. D: x > 4 and R: all real numbers
B. D: x ≤ 4 and R: all real numbers
C. D: all real numbers and R: y ≤ 1
D. D: all real numbers and R: y ≥ 1

Answer:

Translate 10 units right, 9 units up

Step-by-step explanation:

We have the following:

Answer:

Step-by-step explanation:

Gjgxgioilgghgjkhvyuguyykuyl

The volume of plaster Darla needs for the miniature stairs is 418³.

The volume is the space occupied by a three-dimensional object.

Volume is the product of the multiplication of length, width, and height.

We first calculate the total volume for this situation, assuming that the stairs have not cut portions.

Secondly, calculate the volume of the cut portions and subtract the result from the total volume to get the volume of the stairs, which represents the quantity of plaster required by Darla.

Length of the miniature stairs = 12 cm

Width of the miniature stairs = 11 cm

Height of the miniature stairs = 4 cm

The volume of the stairs with the cut portion = 528 cm³ (12 x 11 x 4)

The length of the cut portion of the stairs = 12 cm

The width of the cut portion of the stairs = 11 cm

The height of the cut portion of the stairs = 2 cm (4 - 2)

The volume of the cut portion of the stairs = 110 cm³ (11 x 5 x 2)

The volume of the stairs without the cut portion = 418 cm³ (528 - 120)

The total volume of plaster can also be computed separately as the volume of the larger object plus the volume of the smaller object.

418 cm³= (7 cm x 4 cm x 11 cm) + (5 cm x 2 cm x 11 cm)

= (308 cm³ + 110 cm³)

Thus, the quantity (volume) of plaster Darla needs is 418 cm³.

Learn more about volume at https://brainly.com/question/463363

#SPJ1

Answer:

-1

Step-by-step explanation:

so -x-6 and x-4 are both = to y so that means they are both = to each

other so -x-6=x-4 add x to both sides -6=2x-4 add 4 to both sides 2x = -2 simplify by divide by 2 so x=-1

Answer:

Take the second equation and add 4 to both sides, this gives you x=y+4. The plug in y+4 on the first equation, so y=-(y+4)-6, distribute the negative to everything inside the parentheses, and you get y=-y-4-6. Combine like terms and you get y=-y-10, then add y to both sides, you get 2y=-10, divide both sides by 2 and you get y=-5.

Then plug -5 into the second equation and you get -5=x-4, add 4 to both sides and you get -1=x.

If you want to check your answer, just plug in x and y to either of the equations and see if it makes a true statement.

Answer:

Step-by-step explanation:

m^2(m^2+9)+20

All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

Read more on scale factor here: brainly.com/question/29967135

#SPJ1

The final simplified expression for the derivative of h(z) is h'(z) = (-4z^3)/(b^4 - z^4).

To differentiate the function h(z) = ln[(b^2 - z^2)/(b^2 + z^2)], we can use the quotient rule and the chain rule of differentiation.

Rewrite the function:

h(z) = ln[(b^2 - z^2)/(b^2 + z^2)]

= ln(b^2 - z^2) - ln(b^2 + z^2)

Apply the chain rule for the first term:

d/dz [ln(b^2 - z^2)] = 1/(b^2 - z^2) * (-2z)

= -2z/(b^2 - z^2)

Apply the chain rule for the second term:

d/dz [ln(b^2 + z^2)] = 1/(b^2 + z^2) * (2z) = 2z/(b^2 + z^2)

Combine the derivatives:

h'(z) = -2z/(b^2 - z^2) + 2z/(b^2 + z^2)

Now, we can simplify the expression if desired, but this is the final result of differentiating the function h(z) = ln[(b^2 - z^2)/(b^2 + z^2)] with respect to z.

To further simplify the expression for the derivative of

h(z) = ln[(b^2 - z^2)/(b^2 + z^2)], we can combine the terms with a common denominator.

Recall that the common denominator of -2z/(b^2 - z^2) and 2z/(b^2 + z^2) is (b^2 - z^2)(b^2 + z^2).

So, we can rewrite the expression as follows:

h'(z) = (-2z(b^2 + z^2) + 2z(b^2 - z^2))/[(b^2 - z^2)(b^2 + z^2)]

Simplifying further:

h'(z) = (-2zb^2 - 2z^3 + 2zb^2 - 2z^3)/[(b^2 - z^2)(b^2 + z^2)]

Combining like terms:h'(z) = (-4z^3)/[(b^2 - z^2)(b^2 + z^2)]

The derivative of h(z) simplifies to:

h'(z) = (-4z^3)/(b^4 - z^4)

So, the final simplified expression for the derivative of h(z) is h'(z) = (-4z^3)/(b^4 - z^4).

Learn more about derivatives here, https://brainly.com/question/12047216

#SPJ11

To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

To learn more about coefficient : brainly.com/question/1594145

#SPJ11

The correct option is e. 0.0250, is incorrect. The p-value is calculated as 0.068.

The hypothesis test in 11) is a two-tailed test.

From the t distribution table with 11 degrees of freedom, at the 0.025 significance level, the value of the t-statistic is 2.201.In this two-tailed test, the p-value is twice the area to the right of the positive t-statistic.

Therefore, the p-value is:

P (t > 2.201) + P (t < -2.201)

= 0.034 + 0.034

= 0.068.

Since the p-value (0.068) is greater than the significance level (0.05), we accept the null hypothesis and reject the alternative hypothesis.

Therefore, there is insufficient evidence to suggest that the population mean is different from the hypothesized mean.

The p-value of the hypothesis test is 0.068.

Therefore, the correct option is e. 0.0250, is incorrect. The p-value is calculated as 0.068.

To know more about hypothesis test visit:

brainly.com/question/17099835

#SPJ11

The first team had the most home runs and the last team had the least home runs.

Let's say the first team had x home runs, then the next team had (x - 1) home runs, and the last team had (x - 2) home runs.

As per the given information, these three teams had three consecutive integers, so x - 2 is the smallest of the three consecutive integers.

The total number of home runs by these three teams was 267. We can set up the equation as;x + (x - 1) + (x - 2) = 267

By solving this equation, we get x = 90.The number of home runs for the first team is 90 and the three teams are 90, 89, and 88.

Therefore, the first team had 90 home runs, the second team had 89 home runs, and the third team had 88 home runs.

Thus, in the 2020 baseball season, the first team had 90 home runs, the second team had 89 home runs, and the third team had 88 home runs.

This was found by assuming that the first team had x home runs, the second team had (x - 1) home runs, and the last team had (x - 2) home runs.

Since the total number of home runs by these three teams was 267, we set up the equation as x + (x - 1) + (x - 2) = 267, and solved it to get x = 90.

The first team had the most home runs and the last team had the least home runs.

To know more about consecutive integers.visit:

brainly.com/question/841485

#SPJ11

Answer:

THE ANSWER IS A SPHERE

Step-by-step explanation:

Because it is a 3-dimensional, perfectly round and has solid surface.

Answer: 12 m

Step-by-step explanation:he path of a football has been modeled by the equation:

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

To know more about Convenience purchases:

https://brainly.com/question/30247858

#SPJ4

Assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

The current in the secondary coil is dependent on the voltage ratio of the primary and secondary coils. If the voltage ratio of the coils is the same as the turns ratio, then the current in the secondary coil will be identical to that in the primary coil. Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

The current in the secondary coil is determined by the voltage ratio of the primary and secondary coils. The voltage ratio is equal to the turns ratio, which is the ratio of the number of turns in the secondary coil to the number of turns in the primary coil. In an ideal transformer with 100% efficiency, the power output in the secondary coil will be equal to the power input in the primary coil. Since power is equal to voltage multiplied by current, and the voltage ratio is equal to the turns ratio, the current in the secondary coil will be the same as the current in the primary coil.

Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

To learn more about current here:

brainly.com/question/13076734#

#SPJ11

Answer: "C"

roots would make the function "0"

so just plug in the numbers...

with a + 12 you need minuses to cancel out...

B & C can not be the answer...

A is -i -3 + 4i - 12 which also is not 0

C is :  8i -12 -8i +12 WHICH DOES = 0

Step-by-step explanation:

Answer:

(-2,4) radius = 2

Step-by-step explanation:

\((x-h)^{2} +(y-k)^{2} = r^{2}\)

(h,k) point  r is the radius

The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).

For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.

In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).

For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).

In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.

For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.

To learn more about “expenditure” refer to the https://brainly.com/question/935872

#SPJ11

The statement "Using the three standard deviation criterion, the last observation (x=43) would be considered an outlier" is true.

Given data:

7, 11, 12, 18, 20, 22, 43.

To find out whether the last observation is an outlier or not, let's use the three standard deviation criterion.

That is, if a data value is more than three standard deviations from the mean, then it is considered an outlier.

The formula to find standard deviation is:

S.D = \sqrt{\frac{\sum_{i=1}^{N}(x_i-\bar{x})^2}{N-1}}

Where, N = sample size,

             x = each value of the data set,

    \bar{x} = mean of the data set

To find the mean of the given data set, add all the numbers and divide the sum by the number of terms:

Mean = $\frac{7+11+12+18+20+22+43}{7}$

          = $\frac{133}{7}$

          = 19

Now, calculate the standard deviation:

$(7-19)^2 + (11-19)^2 + (12-19)^2 + (18-19)^2 + (20-19)^2 + (22-19)^2 + (43-19)^2$= 1442S.D

                                                                                                                               = $\sqrt{\frac{1442}{7-1}}$

                                                                                                                                ≈ 10.31

To determine whether the value of x = 43 is an outlier, we need to compare it with the mean and the standard deviation.

Therefore, compute the z-score for the last observation (x=43).Z-score = $\frac{x-\bar{x}}{S.D}$

                                                                                                                      = $\frac{43-19}{10.31}$

                                                                                                                      = 2.32

Since the absolute value of z-score > 3, the value of x = 43 is considered an outlier.

Therefore, the statement "Using the three standard deviation criterion, the last observation (x=43) would be considered an outlier" is true.

Learn more about Standard Deviation from the given link :

https://brainly.com/question/475676

#SPJ11

Answer: Where is it???????

Answer

my answer is what's the question?

Step-by-step explanation:

Answer: 75.2

Step-by-step explanation:

Well, if it isn't the most confusing question ever.

First of all, what is P?

I'll assume its the perimeter...

2*(1.2*2)+4*(8.8*2)

Or

2*2.4+4*17.6

75.2

5 oz of a solution contains 4 1/2 oz of water. 20 oz of solution contains 18 oz of water.

We can set up a proportion to solve this problem:

5 oz of solution contains 4 1/2 oz of water, which means that 5 - 4 1/2 = 1/2 oz of the solution is not water.

So the ratio of water to solution is:

4 1/2 oz / 5 oz = x oz / 20 oz

where x is the number of ounces of water in 20 oz of solution.

Cross-multiplying, we get:

5 * x = 4 1/2 * 20

x = (4 1/2 * 20) / 5

x = 18 oz

Therefore, 20 oz of solution contains 18 oz of water.

Learn more about water here

https://brainly.com/question/1313076

#SPJ11

Answer: 9

Step-by-step explanation:

Answer:

he's a total of 9 feet under the water

Step-by-step explanation:

Step-by-step explanation:

3×100000 or

300000

hope it's correct

Answer: (4-4i)+(3-2i) = 7-6i

Step-by-step explanation:

To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 4 -4i and 3 - 2i is 7 -6i. The numbers in standard form will be a + bi, where a is the real part and bi is the imaginary part.

Answer:

8 < X < 12

Step-by-step explanation:

12 is the measure of the longest side & 8 is the measure of the smallest side. So just arrange it in ascending order.

Answer:

9 scoops

Step-by-step explanation:

3 scoops = 45g

3/45 scoops = 1g

3/45*135 scoops = 135g = 9 scoops

Electrical devices can start operating almost immediately after you throw a switch, despite individual electrons taking hours to reach the device, due to the rapid propagation of electric fields in the wire.

When a switch is thrown, completing an electrical circuit, the electric field generated by the voltage source travels through the wire at nearly the speed of light. Although electrons move relatively slowly, the electric field causes the outermost electrons to push the adjacent ones, creating a chain reaction. This flow of charge enables the signal or energy required for device operation to be transmitted rapidly, allowing the device to turn on almost instantly. While individual electrons may take hours to traverse the wire, the swift propagation of electric fields ensures electrical devices begin operating promptly after the switch is thrown.

Learn more about voltage here:

https://brainly.com/question/12804325

#SPJ11