In general, how do the slopes of line segments in the image compare with the slopes of corresponding line segments in the preimage? What effect does the scale factor of the dilation have on the slopes, if any?

By calculating the median of the data, the meteorologist can claim that Portland tends to receive more rainfall than Seattle.

The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.

The ordered data-sets for each city are given as follows:

The median is the middle element for each data-set, hence it is given as follows:

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Answer:

  19 or 26

Step-by-step explanation:

You want the value of 3n² -8n -9, given that n(n -3) = 10.

We recognize that 10 = 5·2 and that these factors differ by 3. This means n(n -3) = 10 is equivalent to saying n ∈ {-2, 5}.

The value of 3n² -8n -9 will be one of ...

  (3n -8)n -9 = (3(-2) -8)(-2) -9 = (-14)(-2) -9 = 19 . . . . for n = -2

or

  (3(5) -8)(5) -9 = (7)(5) -9 = 26 . . . . . . . for n = 5

The expression 3n² -8n -9 will be either 19 or 26.

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Answer:

C = -4

Step-by-step explanation:

First, combine like terms (terms with the same amount of variables):

14 = -2C - 3C - 6

14 = (-2C - 3C) - 6

14 = (-5C) - 6

Isolate the variable, C. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and equals:

Parenthesis

Exponents & Roots

Multiplication

Division

Addition

Subtraction.

First, add 6 to both sides:

14 (+6) = -5C - 6 (+6)

14 + 6 = -5C

-5C = 20

Next, divide -5 from both sides:

(-5C)/-5 = (20)/-5

C = 20/-5

C = -4

-4 is your value for C.

~

Answer:

-4 =C

Step-by-step explanation:

14 = -2C - 6 – 3C

Combine like terms

14 = -5C - 6

Add 6 to each side

14+6 = -5C -6+6

20 = -5C

Divide each side by -5

20/-5 = -5C/-5

-4 =C

Let's check every choices :

A. absolute value disregards the sign of an integer.

7 > 3, this is true.

B. 7 is farther to the right on a number line, this is true since all positive numbers are to the right of 0.

C. 7 is farther from zero, 7 is 7 units to the right of 0 and -3 is 3 units to the left of 0, therefore, this is true.

D. -3 has a greater absolute value

The absolute value of -3 is 3 which is less than the absolute value of 7, therefore this is not true.

The answer is Choice D.

Answer:

\(\boxed{\sf \ \ 25 \ \ }\)

Step-by-step explanation:

Hello,

we can see that

\(x^2-10x = x^2-2*5x\)

is the beginning of

\(x^2-2*5x+5^2=(x-5)^2\)

so we must add 5*5=25 to both sides of the equation to make the left side a perfect square trinomial

hope this helps

Answer:

25.

Step-by-step explanation:

To find the value that will make the left side a perfect-square trinomial, you need to find (b/2)^2. In this case, b = -10.

(-10 / 2)^2

= (-5)^2

= (-5) * (-5)

= 25

Once you add 25 to both sides, the left side becomes x^2 - 10x + 25, which is equal to (x - 5)^2.

Hope this helps!

Answer:

9. The part of the equation that represents a quoient is (10÷2)  because inside the parentheses you solve the division equation and a quoitent is the answer to a division equation

10. The part of the expression that represents the product of two factors would be 6.7s because 6.7 is being multiplied by s, and a product is an answer to a multiplication problem

Step-by-step explanation:

9. The part of the equation that represents a quotient is (10÷2). 10.  The part of the equation that represents the product of two elements is 6.7s.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question, as follows:

6.7s - (10÷2) +15

9. The part of the equation that represents a quotient is (10÷2) since the division equation is solved inside the parenthesis and a quotient is the answer to a division problem.

10. Here 6.7 is multiplied by s, the component of the equation that represents the product of two elements is 6.7s, and a product is an answer to a multiplication expression.

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Answer: 19, 21, 23

Step-by-step explanation:

is it C that you need to solve?

For C, we can see that each number is going up by 2 to get to the next number, so we can assume that the other 3 numbers follow the same pattern.

Recall the Pythagorean identity,

\(1-\cos^2t=\sin^2t\)

To get this expression in the fraction, multiply the numerator and denominator by \(1+\cos t\):

\(\dfrac{t\sin t}{1-\cos t}\cdot\dfrac{1+\cos t}{1+\cos t}=\dfrac{t\sin t(1+\cos t)}{\sin^2t}=\dfrac{t(1+\cos t)}{\sin t}\)

Now,

\(\displaystyle\lim_{t\to0}\frac{t\sin t}{1-\cos t}=\lim_{t\to0}\frac t{\sin t}\cdot\lim_{t\to0}(1+\cos t)\)

The first limit is well-known and equal to 1, leaving us with

\(\displaystyle\lim_{t\to0}(1+\cos t)=1+\cos0=\boxed{2}\)

Answer:

Below

Step-by-step explanation:

EVERY triangle's angles add up to 180 degrees

  a RIGHT triangle has a 90 degree angle

       this right triangle also has a 45 degree angle

              let x° = third angle

                     90°  + 45°  + x° = 180°

                                 x = 180 - 90 - 45 = 45 degrees

Answer:

Step-by-step explanation:

it is 2

The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

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If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Answer:

×=126+28

=154 degrees

Answer:

Range: {-1, 0, 1}

General Formulas and Concepts:

Math

Algebra I

Step-by-step explanation:

Step 1: Define

[Relation] {(-4, 1), (-2, 0), (8, -1)}

Step 2: Identify

According to the relation, our y-values are 1, 0, and -1. These values would encompass our range.

Answer:

Step-by-step explanation:

1495/45

factor out what you can

1495/45=299/9

Median of the set is 34, as it is the middle value of the ordered set (32, 33, 33, 33, 34, 35, 35, 36, 38).

To find the middle of a bunch of numbers, the initial step is to organize the numbers all together from least to most prominent. For this situation, the arranged set is: 32, 33, 33, 33, 34, 35, 35, 36, 38.

The middle is the center number in the arranged set. On the off chance that there is an odd number of values, the middle is the center worth. On the off chance that there is a considerably number of values, the middle is the normal of the two center qualities.

For this situation, there are nine qualities in the set, which is an odd number. The center worth is the fifth worth, which is 34. Thusly, the middle of the set is B. 34.

To confirm, we can count four qualities before 34 and four qualities after 34 in the arranged set. Since there are an equivalent number of values when the middle, we can infer that 34 is for sure the middle.

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Answer:

x = 18

Step-by-step explanation:

To solve this equation for x, we need to simplify and isolate the variable on one side of the equation. Here are the steps:

Remove the spaces to make the equation easier to read:

1/2x - 7 = 1/3(x - 12)

Distribute the 1/3 on the right side of the equation:

1/2x - 7 = 1/3x - 4

Subtract 1/3x from both sides to isolate the x term on one side of the equation:

1/2x - 1/3x - 7 = -4

Combine like terms on the left side of the equation:

1/6x - 7 = -4

Add 7 to both sides of the equation:

1/6x = 3

Multiply both sides of the equation by 6 to isolate x:

x = 18

Therefore, the solution to the equation is x = 18.

Hope this helps, I'm sorry if it's wrong. If you need more help, ask me! :]

Answer:

C

Step-by-step explanation:

i assume its
C.

In a symmetric, unimodal distribution, about two-thirds of the observations are within one standard deviation of the mean. Option A is correct.

GIven that,
To determine the appropriate options that complete the statement "In a symmetric, unimodal distribution, about two-thirds of the observations are where".

The statistic is the study of mathematics that deal with relations between comprehensive data.

Here,
From the definition of symmetric and unimodal distribution,
At least one standard deviation of the mean is two-thirds of the observation.

Thus, In a symmetric, unimodal distribution, about two-thirds of the observations are within one standard deviation of the mean. Option A is correct.

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The average cost of gas in June 2022 is $5.01

In September of 2021, gas cost $3.17 on average in the United States.

By June of 2022, the cost of gas had increased by 58%, so we can calculate the increase as:

Increment = 3.17 * 0.58 = 1.84

Adding the increase to the starting price:

3.17 + 1.84 = 5.01

So in June of 2022, gas cost $5.01 on average in the United States.

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Solution :

Here, \($ \hat p$\) = sample proportion of red outcomes

\($ \hat p =\frac{58}{100}$\)

\($ \hat p$\) = 0.58

So we have to test,

\($H_0 : p = 0.5$\)

V/S    \($H_a: p \neq 0.5 $\)

The test statistic is

\($z = \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n}}}$\)

\($z = \frac{0.58 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$\)

  \($=\frac{0.08}{0.05}$\)

  = 1.600

P value using the z table is 0.110

So P value greater than 0.05

Therefore, there is no evidence that roulette wheel is out of balance.

it will take 1 hour to catch up to train a but if the question means from as soon as train a leaves, it is 3 hours.

The time taken by train B to cover the distance of 56 km when the train at the station is in 1 hour.

It is the study of the motion of a body without considering mass. And the reason behind them is neglected.

Train A leaves a station traveling at 28 km/hr.

Two hours later train B leaves the same station traveling in the same direction at 84 km/hr.

The distance traveled by the train A in two hours will be

\(\rm D_A=28 \times 2 = 56 km\)

Then the distance between the trains when train B is at the station is 56 km.

Then the relative speed of the train will be

\(\rm V_{BA} =84 - 28 = 56 \ km/hr\)

Then the time taken by train B to cover the distance of 56 km is in 1 hour.

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Answer:

pppppppppppppppppppppppppppppppppppppppppp