A dilation always produces a similar figure. Similar figures have the same ______ but different ______.

Answer:

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤.

Step-by-step explanation:

hope this helps!

Answer: -absolute value inequalities work two ways, not 1

-if it's greater than anything less than 0, then the solution is all real numbers

- if it's less than zero, there is no solution

-dividing by -1 flips the sign

Step-by-step explanation:

These are just some of the rules that I know

Question: 6z ^2 (7z^2 + 3z- 2)

Answer: 42z^4 + 18z^3-12z^2

(hope this helps) :)

The particular solution of the differential equation y" + 9y = 3 cos 2x + 5r + 3 will have the form: (e) None of the above.

(a) z - Acos 2r B sin 2r Ca: This option contains terms involving "r" which does not appear in the original equation. Additionally, the trigonometric functions are in terms of "r" instead of "x", which is inconsistent with the given equation.

(c) z - Acos 2x B sin 2x Ca: This option correctly includes terms with cos 2x and sin 2x, which are consistent with the cosine term in the original equation. However, it introduces the arbitrary coefficients A and B, which are not specified in the original equation.

(d) None of the above: Since none of the given options accurately represent the particular solution for the given differential equation, the correct answer is "None of the above." The particular solution requires a more detailed analysis and cannot be determined solely based on the given options.

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The percentage of tires will have a life of 34,000 to 46,000 miles is the correct answer is d. None of the alternative answers is correct.

The provided percentages do not offer a precise estimate of the proportion of tires with a life of 34,000 to 46,000 miles.

Determining the percentage of tires falling within a specific mileage range requires access to accurate statistical data from tire manufacturers or comprehensive studies. Several factors affect tire lifespan, such as driving habits, road conditions, maintenance, and the type of tire itself.

These variables make it difficult to provide an exact percentage without specific information about the tire population in question. To obtain a more accurate estimate, it would be necessary to analyze relevant data, such as tire industry reports or studies on tire longevity.

Tire manufacturers often provide estimated mileage ratings for their products, but these figures are averages and can vary depending on the factors mentioned above.

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Answer: 26 pays

Step-by-step explanation:

The percentage error in measuring the line segment is 4%. The correct option is (4)4%.

The actual length of the line segment is 5 cm, but it was measured as 5.2 cm, which is 0.2 cm more than the actual length.

The percentage error in measuring the line segment can be calculated as follows:

Percentage error = (Error / Actual value) x 100%

where Error = Measured value - Actual value

Substituting the given values, we get:

Error = 5.2 cm - 5 cm = 0.2 cm

Actual value = 5 cm

Percentage error = (0.2 cm / 5 cm) x 100% = 4%

Therefore, the percentage error in measuring the line segment is 4%.

Hence, the correct option is (4)4%.

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someone who orders a product through a catalog is responding to Direct marketing.

The act of presenting an offer directly to a target client and providing them with a way to respond immediately is known as direct marketing. It is sometimes referred to as direct response marketing among practitioners. Advertising, in contrast, is a form of mass messaging.

Any form of marketing that communicates or distributes to consumers directly, as opposed to through a third party, is considered direct marketing.

Businesses employ the catalog marketing strategy to combine a variety of products in a single printed piece or online store in the hopes that the recipient would purchase at least one item. Using the information in the catalog, customers make direct purchases from the catalog sender through phone, return mail, or online.

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About 75% of the students' scores exceeded the score mentioned in the boxplot.

In a boxplot, the box represents the interquartile range (IQR), which contains the middle 50% of the data. The lower whisker extends to the minimum value within 1.5 times the IQR below the first quartile (Q1), and the upper whisker extends to the maximum value within 1.5 times the IQR above the third quartile (Q3).

Since the boxplot does not provide specific numerical values, we can infer that the mentioned score lies within the upper whisker, which represents the top 25% of the data. Therefore, about 75% of the students' scores exceeded this score.

It's important to note that without the actual values or specific percentiles, we can only estimate the percentage based on the visual representation of the boxplot. The exact percentage may vary depending on the scale and distribution of the data. To obtain a more precise estimate, additional information such as the quartiles or a histogram of the scores would be needed.

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Based on the information given, it can be seen that the total number of people at the party is 54.

Let the total number of people at the party be represented by x.

Therefore, based on the information given, the equation will be:

(2/3 × x) - 15 = 21

2/3x - 15 = 21

2/3x = 21 + 15

2/3x = 36

x = 36/0.667

x = 54

Therefore, the total number of people at the party is 54.

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Answer: its the first 3 i think

Step-by-step explanation:

Answer:they are not congruent

Step-by-step explanation:

Answer:

50 ≤ x ≤ 58

Step-by-step explanation:

Cause Im smart

Answer:

50 ≤ x ≤ 58

Step-by-step explanation:

hope this helps ;

)

Answer:

The result can be shown in multiple forms.

Point Form: ( 2, − 2 )

Equation Form: x = 2 , y = − 2

Step-by-step explanation:

1. Eliminate the equal sides of each equation and combine them.
2x − 6 = − 5x + 8

2. Solve 2x − 6 = −5x +8 for x.

x = 2

3. Evaluate y when x = 2.

y = − 2

The solution to the system is the complete set of ordered pairs that are valid solutions.

( 2, − 2 )

The result can be shown in multiple forms.

Point Form: ( 2, − 2 )

Equation Form: x = 2 , y = − 2

Answer:

x = 2

y = -2

Step-by-step explanation:

Substitute equation 1 into equation 2 then solve for x:

2x - 6 = -5x + 8

7x = 14

x = 14/7 = 2

Now substitute x=2 into either equation to solve for y:

y = 2(2) - 6 = -2

Answer:

Merton will have about 6,000 more people than Hapville

Step-by-step explanation:

Merton

y = 12,000(1.04)^(30)

y = 12,000(3.24339)

y = 38,920.77012

Hapeville

y = 18,000 + (30 x 500)

y= 18,000 + 15,000

y = 33, 000

Merton - Hapeville

38,920.77012 - 33,000 = 5920.77012

Therefore Merton will have about 6,000 more people than Hapville

Answer:

Step-by-step explanation:

The gradient is the same term as the slope.

We have the line with the slope of 4 and passing through the point (3, 7).

Use the point - slope form and substitute the coordinates to get:

Answer:

-20

Step-by-step explanation:

12 times 5 - 100 divided by 2

Answer:

-68

Step-by-step explanation:

12(4+1)-100/2 = 12(4)+12(1)-100/2

48-12=36-100/2

36-100= -136/2

-136/2 = -68

Given an angle that is positive, less than 360°, and coterminal with 395° is 35°.

Subtract 360° from 395°.

We know that 1 revolution is equal to 360°.

Therefore, a positive angle that is less than 360° and coterminal with 395° is 35°.

When an angle is less than 360° and shares the same terminal side with another angle that is less than 360°, then the angle is referred to as a coterminal angle.

In other words, the two angles have the same initial side and terminal side but can be either positive or negative.

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The domain of the rational function  \(\frac{x^3 + 5x^2 + 3x - 9}{x^2 -x - 2}\) is:

D: {x ∈ R| x ≠ -1, 2}

The domain will be the set of all real numbers, minus these ones that make the denominator equal to zero.

The denominator will be zero when:

x² - x - 2  =0

Using the quadratic formula we will get:

\(x = \frac{1 \pm \sqrt{(-1)^2 - 4*1*-2} }{2*1} \\\\x = \frac{1 \pm 3}{2}\)

The two solutions are:

x = (1 + 3)/2 = 2

x = (1 - 3)/2 = -1

If the numerator is not zero on these values, then we need to remove them from the domain.

When x = 2 the numerator is:

2³ + 5*2² + 3*2 - 9 = 25

When x = -1

(-1)³  + 5*(-1)²  + 3*-1 - 9 = -8

Neither of these is zero, so we need to remove x = -1 and x = 2 from the domain, then the domain is:

D: {x ∈ R| x ≠ -1, 2}

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Answer:

rotation

Step-by-step explanation:

because the earth rotates

Answer:

Step-by-step explanation:

1/2 as a fraction

Answer:

Do 180-110=70 Then have it where 70/2=35. 35+4=39, 35-4=31, so the three angles are 39, 110, and 31.

Step-by-step explanation:

Answer:

I LOVE ALGEBRA anyways

othe ans is in the picture and the steps how  got the ans

(hope it helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

Answer:

they are congruent

Step-by-step explanation:

To find the volume of the solid generated by revolving the region between y = x^2 and y = 12 - x about the line y = -2, we can use the disk/washer method by integrating the difference between the functions squared over the interval of intersection.

To find the volume of the solid generated by revolving the region bounded by y = x^2 and y = 12 - x about the horizontal line y = -2, we can use the disk/washer method.

First, let's find the points of intersection between the two curves:

x^2 = 12 - x

Rearranging the equation:

x^2 + x - 12 = 0

Factoring the quadratic equation:

(x - 3)(x + 4) = 0

So, the points of intersection are x = 3 and x = -4.

To use the disk/washer method, we need to integrate over the interval [-4, 3].

The radius of each disk or washer is given by the difference between the functions:

r = (12 - x) - x^2

The volume element can be expressed as:

dV = πr^2 dx

Integrating the volume element over the interval [-4, 3]:

V = ∫[-4,3] π((12 - x) - x^2)^2 dx

Evaluating this integral will give us the volume of the solid.

Note: The washer method is used when the region between the curves is revolved around a horizontal or vertical axis, and the disk method is used when the region below the curve is revolved around a horizontal or vertical axis. In this case, we are revolving the region between the curves, so we use the washer method.

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a. Sample space for betting on a single horse: {win, lose}. b. Sample space for outcome of the winning horse: {Horse 1, Horse 2, Horse 3, Horse 4, Horse 5}. c. Sample space for outcome of the first, second, and third horses: {(Horse 1, Horse 2, Horse 3), (Horse 1, Horse 2, Horse 4), ..., (Horse 3, Horse 4, Horse 5)}

A sample space is a set of all possible outcomes of an event. In a horse race, there are different ways to define the sample space, depending on what information you are interested in.

a. If you bet on a single horse and only care about whether you win or lose, the sample space can be defined as {win, lose}.

b. If you care about which of the five horses wins, the sample space can be defined as {horse 1 wins, horse 2 wins, horse 3 wins, horse 4 wins, horse 5 wins}.

c. If you care about which horses come in first, second, and third, the sample space would be the set of all possible combinations of three horses. The number of combinations would be nC3, where n is the total number of horses in the race (5 in this case). This sample space would have 10 possible outcomes, such as (horse 1, horse 2, horse 3), (horse 2, horse 4, horse 5), etc.

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You will have to work for 1.475 weeks to make the same total pay from both places.

To make the same total pay, you will have to work the following number of weeks:

Amazon: 25 hours/week * $16/hour = $400/week

UPS: 30 hours/week * $18/hour = $540/week + $50/week = $590/week

So you will have to work for $400/week * X = $590/week

X = $590/week / $400/week = 1.475 weeks

So, you will have to work for 1.475 weeks to make the same total pay from both places.

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Answer:

1/ 3

Step-by-step explanation:

If each of the cards is turned over, the probability of picking up a card of one type P(E) becomes equal to:

=> P(E) = number of cards of the required type/ total number of cards

● Total number of spades( ♤ ) = 3

{the queen, one ace and the nine are all spades}

● Total number of cards = 6

Probability of drawing a spade= 3/ 6

= 1/ 2

● Total number of "7" = 1

● Total number of cards = 6

Probability of drawing a 7

= 1/ 6

Now, what's asked is the difference in the probabilities of drawing a spade and a seven.

= 1/ 2 - 1/ 6

= 3/ 6 - 1/ 6

= 2/ 6

= 1/ 3

Hence, 1/ 3 of a greater chance of drawing a spade over a 7.

The type of measurement scale which the professor employed is an ordinal scale.

We can rate people or things using an ordinal scale without explaining the meaning of the distinctions between the ranks. The second level of measurement, known as the ordinal scale, conveys data ranking and ordering without assessing the degree of variation between them.

The data in the given case is the names of the subjects namely science, mathematics, and management, which is definitely qualitative data. Next, it must be determined whether the data is at the nominal level or the ordinal level. Data at the nominal level cannot be ordered, however, data at the ordinal level can be. The professor is developing a relationship between the subjects by placing them in order since he is able to rank them according to the preferences of the pupils. Thus, he is using an ordinal scale.

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Check the picture below.