A. Write as many ratios as you can using two side
lengths from ABC.

Answer:

D) 2

Step-by-step explanation:

Reciprical of slope

-1/2

reciprical is

+2/1

2

Answer:

log x^13.

Step-by-step explanation:

Using the laws of logarithms

a log b = log b^a and  log a + log b = log ab:

3 log x^2 + 7 log x

= log (x^2)^3 + log x^7

= log x^6 + log x^7

= log (x^6*x^7)

= log x^13.

Patrick’s August finance charge will be $0.6717 more if it is calculated using the previous balance method.

Previous balance method: Interest charges are based on the amount owed at the beginning of the previous month's billing cycle.

Adjusted balance method: Based on finance charges on the amount(s) owed at the end of the current billing cycle after credits and payments have been posted.

The total amount on which interest will be applied using the previous balance method is;

\(= 1,466.22+28.48+40.00+31.76\\\\ = 1566.46\)

So, interest levied on this is;

\(= 1566.46 \times 15.40 \times \dfrac{30}{360} \times \dfrac{1}{100}\\\\=20.10\)

Now, the total amount on which interest will be applied using the adjusted balance method is;

\(= 1566.46-150.00-115.75\\\\=1300.71\)

So, interest levied on this is;

\(= 1300.71 \times 15.40 \times \dfrac{30}{360} \times \dfrac{1}{100}\\\\=16.69\)

The difference between charges by previous balance method and adjusted balance method is;

= 20.10 - 16.69 = 3.41

Hence, Patrick’s August finance charge will be $0.6717 more if it is calculated using the previous balance method.

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Answer:

a. Down payment of $21,000

= 21,000 / 140,000

= 0.15

= 15%

b. Down payment of $7,000

= 7,000/ 140,000

= 0.05

= 5%

Answer:

Your answer would be C. Hold on lemme check.... Yes its C.

Step-by-step explanation:

Hope I helped LOL

Answer: 234

Step-by-step explanation:

Answer:

y = -3x -2 ( this is only for 5 )  

Step-by-step explanation:

Step 1:

First, we need to understand that lines that are perpendicular have slopes that are opposites and reciprocals of each other.

Step 2:

So our initial equation is 2x-6y= 10. We want to rearrange this so that it is in slope-intercept form: y= 1/3x -(10/6). In this form, we can derive the slope of our new line. Because the slope is 1/3, our new slope is -3 ( based on step 1 ).

Step 3:

Now that we have the slope of our new line, we can use the point-slope formula to get our specific line that passes through ( 2, -8 ).

y - y1 = m( x - x1 )

y- ( -8 ) = -3( x - 2 )jhvjjfjhjfhcgch

y + 8 = -3x + 6

y = -3x -2 !

Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

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Answer:

Step-by-step explanation:

The daily tips were 743.36

8 people divided the money

Tips = 743.36 / 8 = 92.92

I can't explain how the others were obtained. The answer is A

To find yx and 2yx2 at the given point without eliminating the parameter, we substitution the given values of x and y into the expressions.Therefore, yx = 8/7 and 2yx2 = 5929600 at the given point.

Given:

x = 133 + 7

y = 144 + 8

θ = 2

To find yx, we differentiate y with respect to x:

yx = dy/dx

Substituting the given values:

\(yx = (dy/dθ) / (dx/dθ) = (8) / (7) = 8/7\)

To find 2yx2, we substitute the given values of x and y into the expression:

\(2yx2 = 2(144 + 8)(133 + 7)^2 = 2(152)(140^2) = 2(152)(19600) = 5929600.\)

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Answer:

5x+32

Step-by-step explanation:

So write out as an expression

Amy= x

Baz = x+8

Carla = 3(x+8)

Total= x +x + 8 +3x+ 24

= 5x+32

Answer: 12

Step-by-step explanation:

Answer:

median  

interquartile range

mode          

mean

Mean

Median

mode

Interquartile range

General formula is IQR3-IQR1

From the diagram, we get that the height we are looking for is h₂*0.914. To compute h₂ we notice that it is equal to the tangent of the depression angle times 31 yds.

Therefore:

Answer: 9.21 meters.

Answer:

Yes they are similar by SAS or side-angle-side Similarity Theorem

Step-by-step explanation:

Given

In Triangle UWV

WU=6

VU=4

In Triangle UST

US=9

UT=6

Solution

AngleWUV = AngleSUT as they are Vertically Opposite Angles

And

US/UW = UT/UV

or

9/6 = 6/4

which can be simplified into

3/2 = 3/2

Since the ratio of two sides and an angle is equal, TriangleUWV is similar to TriangleUST by Side-Angle-Side Similarity Theorem

Answer:

The area of the shaded sector is

(π/4)(6^2) = (π/4)(36) = 9π

Answer:

1

Step-by-step explanation:

5x=5

1x=1

x=1

The magnetic field generated by the wires at the point (x=4m, y=4m) carrying identical currents of 90A out of the page is 2.50 x \(10^{-6\) T or 2.50 μT.

Hence option b is correct.

According to the given information,

We can use the Biot-Savart Law to calculate the magnetic field generated by these wires at the given point.

Using the formula, we get:

B = (μ0/4π) I [(sinθ1 + sinθ2) / 2] / d,

Where,

μ0 is the permeability of free space (4π x \(10^{-7}\) T m/A),

I is the current (90 A),

θ1 and θ2 are the angles between the wire and the vector pointing from the wire to the given point,

And d is the distance between the wires (8 m).

To find θ1 and θ2, we can use Trigonometry:

θ1 = sin inverse (y/d)

   = sin inverse (4/8) = 30°

θ2 =  sin inverse [(y-d)/d]

     =  sin inverse [(4-8)/8]

     = -30°

Substituting these values into the formula, we get:

B = (4π x \(10^{-7}\) T m/A) 90 A [(sin30° + sin(-30°)) / 2] / 8 m

B = 2.50 x \(10^{-6\)  T

   = 2.50 μT

Therefore, the correct option is (b) 2.50 x  \(10^{-6\)  T (or 2.50 μT).

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The complete question is attached below:

Answer:

Complete explanation is in the picture.

Step-by-step explanation:

Answer:

\(f^{-1}\)(x)=\(\sqrt{x+3}\)  , - \(\sqrt{x+3}\)

Step-by-step explanation:

Answer:-4.86

Step-by-step explanation:.

The definitions of addition and scalar multiplication on Hom(V, W) satisfy the vector space axioms, making Hom(V, W) a vector space.

To make Hom(V, W) a vector space, we need to define addition and scalar multiplication operations that satisfy the axioms of a vector space. Let's define these operations:

1. Addition:
Given two linear transformations T1, T2 ∈ Hom(V, W), we define their sum (T1 + T2) as a new linear transformation in Hom(V, W) such that for any vector v ∈ V,
(T1 + T2)(v) = T1(v) + T2(v).

2. Scalar Multiplication:
For a scalar c ∈ ℝ (real numbers) and a linear transformation T ∈ Hom(V, W), we define the scalar multiplication (cT) as a new linear transformation in Hom(V, W) such that for any vector v ∈ V,
(cT)(v) = c(T(v)).

These definitions of addition and scalar multiplication on Hom(V, W) satisfy the vector space axioms, making Hom(V, W) a vector space.

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Answer:

Step-by-step explanation:

a) The population for this study would be all of the crops that the farmer grows on his farm, which includes corn, beans, tomatoes, and peppers.

b) The sample for this study is the 10 plants of each crop that the farmer chose to test the different pesticides on.

c) The sampling technique used in this study is convenience sampling, as the farmer selected the plants that were most easily accessible to him for the experiment.

However, this may not necessarily represent the entire population accurately, as other factors such as soil quality and weather conditions may also influence crop growth.

It would be ideal to use a randomized sampling technique to ensure that the results are representative of the entire population.

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The expected value is 2.3 if the payout probability distribution is payout  0 2 4 8 10  probability 0.45 0.3 0.1 0.1 0.05.

According to the given question.

We have the payout probability distribution.

payout(s): 0  2  4  8  10

Probability: 0.45  0.3  0.1  0.1  0.05

Multiply payout to probability such that:

0×0.45 = 0

2 × 0.3 = 0.6

4 × 0.1 = 0.4

8 × 0.1 = 0.8

10 × 0.05 = 0.5

Therefore, the expected value of the winnings from a game with the given payout probability distribution is

= 0 + 0.6 + 0.4 + 0.8 + 0.5

=2.3

Thus, the expected value is 2.3 if the payout probability distribution is payout  0 2 4 8 10  probability 0.45 0.3 0.1 0.1 0.05.

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Answer:

When we say 'as many as' or 'no more than', we mean 'less than or equal to' which means that a could be less than b or equal to b. But, when we say 'at least', we mean 'greater than or equal to'. Here a could be greater than b or equal to b.

To convert degrees to radians, multiply by

this is

In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

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Answer:

3x-14=180

3x=194

x= 64 2/3

4(x-9)=180

4x-36=180

4x=216

x=54

Hope This Helps!!!

Step-by-step explanation:

(3x-14)°=180°

3x-14=180

3x=180+14

3x=194

x=64.6

[4(x-9)]°=180°

4x-36=180

4x=180+36

4x=216

x=54

The Python script above prompts the user for the values of a, b, c, x, and y, and then tests whether the point (x, y) lies on the parabola described by the equation y=ax^2+bx+c. If the point lies on the parabola, the script prints out a message stating this. Otherwise, the script prints out a message stating that the point does not lie on the parabola.

The function is_on_parabola() takes in the values of a, b, c, x, and y, and then calculates the value of the parabola at the point (x, y). If the calculated value is equal to y, then the point lies on the parabola. Otherwise, the point does not lie on the parabola.

The main function of the script prompts the user for the values of a, b, c, x, and y, and then calls the function is_on_parabola(). If the point lies on the parabola, the script prints out a message stating this. Otherwise, the script prints out a message stating that the point does not lie on the parabola.

To run the script, you can save it as a Python file and then run it from the command line. For example, if you save the script as parabola.py, you can run it by typing the following command into the command line:

python parabola.py

This will prompt you for the values of a, b, c, x, and y, and then print out a message stating whether or not the point lies on the parabola.

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Answer:

1/5n - 8 ≤ 95

n  ≤ 515

Step-by-step explanation:

Hi there!

8 less than the product of a number n and 1/5 is no more than 95.

"8 less than" means we'll be subtracting.

"The product of a number n and 1/5" means we'll be multiplying 1/5 and n to get 1/5n.

"8 less than the product of a number n and 1/5" therefore translates to:

1/5n - 8

"Is no more than 95" means that 1/5n - 8 is less than or equal to 95:

1/5n - 8 ≤ 95

1/5n - 8 ≤ 95

Add 8 to both sides

1/5n  ≤ 103

Multiply both sides by 5

5 * 1/5n  ≤ 5 * 103

n  ≤ 515

I hope this helps!