What is the equation of the line graphed below?

Answer:

g(-9)+h(-9)=59

the answer is B

Trapezoid JKLM is shown on the coordinate plane, the coordinates of L should be (8,-6) if the rule is (x + 5, y - 4), because the coordinates are (3, -2), and you have to add 5 to x, and -4 to y.

The origin of the coordinate system is the intersection of the axes, and the first and second coordinates are known as the abscissa and the ordinate of P, respectively. The coordinates are often represented as two integers enclosed in parenthesis and placed in that particular order, all separated by commas. Coordinates are two integers (Cartesian coordinates) or, in certain cases, a letter and a number that point to a specific place on a grid known as a coordinate plane. The x axis (horizontal) and y axis are the two axes of a coordinate plane, which contains four quadrants (vertical).

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The complete question is as follows:

Answer:

5 dollars per hour

Step-by-step explanation:

Answer:

5 per hour

Step-by-step explanation:

Divide 10 by 2 to get 5

Answer:

Angles 7 and 8 are supplementary because they are a pair of adjacent angles that form a straight line.

Supplementary angles add up to 180°

Answer:

\(\textsf{Factored form}: \quad (a^2+4)(a-2)\)

\(\textsf{Standard form}: \quad a^3-2a^2+4a-8\)

Step-by-step explanation:

Given expression:

\(\dfrac{a^4-16}{a+2}\)

Rewrite the exponent 4 as 2·2 and 16 as 4²:

\(\implies \dfrac{a^{2 \cdot 2}-4^2}{a+2}\)

\(\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c\)

\(\implies \dfrac{\left(a^2\right)^2-4^2}{a+2}\)

\(\textsf{Apply the Difference of Two Squares Formula} \quad x^2-y^2=\left(x+y\right)\left(x-y\right):\)

\(\implies \dfrac{(a^2+4)(a^2-4)}{a+2}\)

Rewrite 4 in the second parentheses of the numerator as 2²:

\(\implies \dfrac{(a^2+4)(a^2-2^2)}{a+2}\)

Apply the Difference of Two Squares Formula to (a² - 2²):

\(\implies \dfrac{(a^2+4)(a+2)(a-2)}{a+2}\)

Cancel the common factor (a + 2):

\(\implies (a^2+4)(a-2)\)

Expand:

\(\implies a^2(a-2)+4(a-2)\)

\(\implies a^3-2a^2+4a-8\)

Step-by-step explanation:

20 gallons of gasoline

gas is $ 2.50 per gallons

2.50 × 20

{(2×2)(0×.5)(0)}

domain=200

range=2.5

Answer:

2 and it is the solution to both

Step-by-step explanation:

i just did it lol

The point of intersection of y = 2x – 3 and y = 1 is (2,1).

Here, we have,

given that,

the equations are:

y = 2x – 3 ....1

and y = 1 .....2

now, we have to solve them.

so, putting the value of y from 2, in 1,

we get,

2x – 3 = 1

or, 2x = 4

or, x = 2

so, we have,

their point of intersection is (2,1).

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To determine the proportion that proves the relationship involving the tangent of angle D in the dilated triangles, we need more information about the angles and sides involved in triangles BAC and BDE. Specifically, we need the measures of the angles and the lengths of the sides to establish a proportion.

Without the specific measurements or relationships between angles and sides, we cannot provide a proportion that directly involves the tangent of angle D in this scenario. Dilations with a scale factor of 2 generally result in corresponding sides being twice as long, but the angles may or may not maintain the same measures. To establish a proportion involving the tangent of angle D, we would need more specific information about the triangle's properties, such as angle measures, side lengths, or additional relationships between angles and sides.

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The values of errors are found to be

(a) The absolute error = 3.1 m

(b) The relative error = 0.31 m

Given,

V = 10 m

V(approx) = 13.1 m

(A) To find absolute error

Absolute error = | Actual value - App. Value |

E = | V - V(approx) |

E = | V - V(approx) |

E = | 10 - 13.1 |

E = 3.1 m

Absolute error = 3.1 m

(B) To find the relative error

Relative error = | Absolute error / actual error |

n = | E / V |

E = 3.1 m

V = 10 m

n = | 3.1 / 10 |

n = 0.31 m

Relative error = 0.31 m

Therefore, the absolute error is 3.1 m and relative error is 0.31 m.

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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS: A scientist makes a measurement and gets a value of 13.1 m. The true value is 10.0 m. Calculate the absolute and relative error of the scientist's measurement. Round your answers to a reasonable number of decimal places. Also be sure your answers include any necessary symbols. Absolute error: relative error:]

The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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In the basis step of the mathematical induction proof for P(n), we show that the equation is true for n = 1. The equation of the inductive hypothesis (IH) is P(k), where k is an arbitrary natural number. In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true.

In the basis step, we substitute n = 1 into the equation 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1. This gives us the equation 1⋅2 = 1+1, which is true.

The inductive hypothesis (IH) is denoted as P(k), where k is an arbitrary natural number. We assume that P(k) is true, meaning that 11⋅2+12⋅3+⋅⋅⋅+1k⋅(k+1)=kk+1 holds.

In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true. This involves substituting n = k+1 into the equation 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1 and demonstrating that the equation holds for this value. The specific equation we need to show in the inductive step is 11⋅2+12⋅3+⋅⋅⋅+1(k+1)⋅((k+1)+1)=(k+1)(k+1+1).

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In the basis step, we need to show that the equation P(1) is true. The equation of the inductive hypothesis (IH) is P(k), where k is any natural number greater than or equal to 1. In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true.

To prove the equation P(n): 11⋅2 + 12⋅3 + ... + 1n⋅(n+1) = n(n+1) using mathematical induction, we follow the two-step process.

1. Basis Step:

We start by showing that the equation is true for the base case, which is n = 1:

P(1): 11⋅2 = 1(1+1)

Simplifying, we get: 2 = 2, which is true.

2. Inductive Step:

Assuming that the equation is true for some arbitrary value k, the inductive hypothesis (IH) is:

P(k): 11⋅2 + 12⋅3 + ... + 1k⋅(k+1) = k(k+1)

In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true:

P(k+1): 11⋅2 + 12⋅3 + ... + 1k⋅(k+1) + 1(k+1)⋅((k+1)+1) = (k+1)((k+1)+1)

By adding the (k+1)th term to the sum on the left side and simplifying the right side, we can demonstrate that P(k+1) is true.

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Answer:

y = 2x + 2

Step-by-step explanation:

just trust me i took test and it had this question on it lol

Answer:

I'm not really sure man :P

Answer:

\(\frac{1}{14}\),\(-\frac{3135}{28}\)

Step-by-step explanation:

Answer:100-K

Step-by-step explanation:

"100 decreased by a number K" can be written algebraically as:

100 - K

This expression represents the result of subtracting the value of K from 100.

Answer:

108.7 ⇒ nearest tenth

108.67 ⇒ nearest hundredths

108.667 ⇒ nearest thousandths

Step-by-step explanation:

When you divide 652 by 6, you get 108.6666666... (the 6 is repeating)

So, round it to the nearest tenth, hundredths, or thousandths:

108.7 ⇒ nearest tenth

108.67 ⇒ nearest hundredths

108.667 ⇒ nearest thousandths

Answer:

first one

Step-by-step explanation:

The mean absolute deviation for the group of household incomes is approximately 14.8 (rounded to the nearest tenth).

To calculate the mean absolute deviation (MAD) for a group of data, we follow these steps:

Find the mean (average) of the data set.

Subtract the mean from each data point, obtaining the deviations.

Take the absolute value of each deviation.

Find the mean of the absolute deviations.

Given the household incomes for 10 different households:

38, 45, 76, 93, 50, 54, 29, 44, 62, 31

Let's calculate the MAD step by step:

Find the mean (average):

Mean = (38 + 45 + 76 + 93 + 50 + 54 + 29 + 44 + 62 + 31) / 10

Mean = 482 / 10

Mean = 48.2

Calculate the deviations:

Deviation for each data point = Data point - Mean

Deviation for 38 = 38 - 48.2 = -10.2

Deviation for 45 = 45 - 48.2 = -3.2

Deviation for 76 = 76 - 48.2 = 27.8

Deviation for 93 = 93 - 48.2 = 44.8

Deviation for 50 = 50 - 48.2 = 1.8

Deviation for 54 = 54 - 48.2 = 5.8

Deviation for 29 = 29 - 48.2 = -19.2

Deviation for 44 = 44 - 48.2 = -4.2

Deviation for 62 = 62 - 48.2 = 13.8

Deviation for 31 = 31 - 48.2 = -17.2

Take the absolute value of each deviation:

Absolute deviation for each data point = |Deviation|

Absolute deviation for -10.2 = 10.2

Absolute deviation for -3.2 = 3.2

Absolute deviation for 27.8 = 27.8

Absolute deviation for 44.8 = 44.8

Absolute deviation for 1.8 = 1.8

Absolute deviation for 5.8 = 5.8

Absolute deviation for -19.2 = 19.2

Absolute deviation for -4.2 = 4.2

Absolute deviation for 13.8 = 13.8

Absolute deviation for -17.2 = 17.2

Find the mean of the absolute deviations:

Mean Absolute Deviation (MAD) = (10.2 + 3.2 + 27.8 + 44.8 + 1.8 + 5.8 + 19.2 + 4.2 + 13.8 + 17.2) / 10

MAD = 148 / 10

MAD = 14.8

To the nearest tenth, this means that the mean absolute deviation for the group of household incomes is around 14.8.

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Answer:

Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.

Step-by-step explanation: hi

Answer:

The answer is A

Step-by-step explanation:

In other words, Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.

Answer:

There are 14,512 people in the town in 2005.

Step-by-step explanation:

Answer:

I believe the next time both bells will ring at the same time is at 6:30PM.

Step-by-step explanation:

If the bells toll together at 6:00PM, the next time they toll together again should be at 6:30PM.(this is just how it works in my mind) if you add 15 to 15,, you get 30, right? And if you add 10+10=10, you get 30, right? And since 30 is a common number that both 10 and 30 can go into,, and is the lowest number both can go into,, it has to be the answer.

Answer:

x = -2 or x = -16

Step-by-step explanation:

We need to find the absolute value of x and to do that we need to follow the below process:

|x+9| = 7 get rid of brakes

x+9 = 7 or x+9 = -7

if

x+9 = 7 subtract 9 from both sides

x = -2

if

x+9 = -7 subtract 9 from both sides

x = -16

Answer:

Gina has 47 nickels

Step-by-step explanation:

Let's call the number of nickels that Gina has "n" and the number of dimes she has "d". We know that she has a total of 70 nickels and dimes, so:

n + d = 70 (equation 1)

We also know that the value of her nickels and dimes is $4.65, which is equal to 465 cents. Each nickel is worth 5 cents and each dime is worth 10 cents, so the value of n nickels is 5n cents and the value of d dimes is 10d cents. Therefore, we can write another equation based on the value of the coins:

5n + 10d = 465 (equation 2)

We can simplify equation 2 by dividing both sides by 5:

n + 2d = 93 (equation 3)

Now we have two equations with two variables. We can solve for one of the variables in terms of the other and substitute into the other equation to solve for the remaining variable. For example, we can solve equation 1 for d:

d = 70 - n

Substituting this expression for d into equation 3, we get:

n + 2(70 - n) = 93

Simplifying this equation, we get:

n + 140 - 2n = 93

-n + 140 = 93

-n = -47

n = 47

Therefore, Gina has 47 nickels and 23 dimes (since n + d = 70), and the total value of her coins is $4.65.

Answer:

47 nickels

Step-by-step explanation:

47 nickels

Answer:

15

Step-by-step explanation:

We can extend our definition of the average value over a continuous function to an infinite interval by defining the average value f on the interval [0, ∞) to be      \(\lim_{t \to \infty}\frac{1}{t-a}\int\limits^t_a {f(x)\\} \, dx\)  .

The definition of the average value of a continuous function f(x) can be expanded to include the infinitely long interval [a,∞] as follows:

\(\lim_{t \to \infty}\frac{1}{t-a}\int\limits^t_a {f(x)\\} \, dx\)

Let's assume that f(x) is any continuous function. Assume that the integral \(\int\limits^i_0 {f(x)} \, dx\)   is divergent and that f(x)≥0 in the range [a,∞].

Show that, if this limit exists, \(f_{ave} = \lim_{x \to \infty} f(x)\) .

Hence, We can extend our definition of the average value over a continuous function to an infinite interval by defining the average value f on the interval [0, ∞) to be      \(\lim_{t \to \infty}\frac{1}{t-a}\int\limits^t_a {f(x)\\} \, dx\)  .

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Answer:

First Integer = 16

Second Integer = 18

Third integer = 20

Step-by-step explanation:

An even integer is represented by 2n

Where n is any integer

Let :

First Integer = 2n - 2

Second Integer = 2n

Third integer = 2n + 2

The sum of three even consecutive numbers = 2n - 2 + 2n + 2n + 2

= 2n + 2n + 2n - 2 + 2 = 54

= 6n = 54

n = 54/6

n = 9

First Integer = 2n - 2 = 2(9) - 2

= 16

Second Integer = 2n = 2(9)

= 18

Third integer = 2n + 2 = 2(9) + 2

= 20