In the following exercises, multiply the binomials. Use any method.
256. (r + s)(3r + 2s)

Answers

Answer 1

Answer:

Hence the expression [tex]$$(4z-y)(z-6)=4z^2-yz-24z+6y$$[/tex]

Step-by-step explanation:

Explanation

The given expression is (4z-y)(z-6).We have to multiply the given expression.Multiply the (4 z-y) by -6, multiply the (4 z-y) by z then add like terms.

[tex]$$\begin{matrix}{} & {} & {} & {} & 4z & - & y \\ \times & {} & {} & {} & z & - & 6 \\ \end{matrix}$$[/tex]

________________

[tex]$$\begin{matrix}{} & {} & {} & - & 24z & + & 6y \\ 4{{z}^2} & - & yz & {} & {} & {} & {} \\ \end{matrix}$$[/tex]

______________________

[tex]$$\begin{matrix}4{{z}^2} & - & yz & - & 24z & + & 6y \\ \end{matrix}$$[/tex]


Related Questions

Which is the principal value of \arcsin\left(0.98\right)arcsin(0.98)\arcsin, left parenthesis, 0, point, 98, right parenthesis?

Answers

The principal value of arc sin(0.98)=78.5°.

What is principal value?

The value of the inverse function at a place that falls within the range of the unit of the principal value is the primary value of the trigonometric function at that point.

Trigonometric function solutions with a value between 0 and 2π are known as principal values of trigonometric functions. The primary values of trigonometric functions are values smaller than 2π, which is the interval at which the trigonometric function's value repeats.

The principal value of the inverse trigonometric function is always the positive value whenever any positive value and the negative value are presented in a way that these two values are equal.

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How many ways are there to fill either the pitcher or catcher field position (but not both) from among the 25 players (leaving the other field positions empty)

Answers

Using the permutation formula, it is found that there are 600 ways to fill the pitcher and catcher positions.

The order is important, as one player is the pitcher and the other is the catcher, hence the permutation formula is used to solve this question.

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

2 players are taken from a set of 25, hence the number of ways is given by:

[tex]P_{(25,2)} = \frac{25!}{23!} = 600[/tex].

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Is it possible to design a pair of nonstandard dice, with positive integers on the faces (not necessarily all distinct), so that the probability of rolling any given total on those two dice is the same as the probability of rolling that total on two standard dice

Answers

you can reduce it to factors of degree 2 or less).

The two dice do not need to be identical. If it is possible, do it. If it is not possible, prove that it is not possible.

Some hints I got were to try to construct a pair of nonstandard dice such that the generating function for their sum matches the corresponding g.f. for a pair of standard dice and to note that the g.f. for a pair of standard dice can be factored quite a bit (you can reduce it to factors of degree 2 or less).

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If the point P(-3/5,y) lies on the unit circle and P is in the 2nd quandrant, what does y equal

Answers

The value of y by virtue of the circle description above is; 0.8.

What is the value of y in the task?

By definition, a unit circle is a circle whose radius is 1 and has its center at the origin (0,0).

On this note, the value of y can be evaluated as;

1² = (-3/5-0)² + (y-0)²

1 -0.36 = y²

0.64 = y²

±0.8 = y.

However, since point P is in the 2nd quadrant where y is positive, the value of y is 0.8.

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What is the slope of a line that passes through the points ( -1, 9) and (3,6)?

Answers

Answer:

Step-by-step explanation:

Slope=m

(-1,9) (3,6)

m= Y2-Y1 / X2-X1

m=6-9/3-(-1)

m=-3/3+1

m=-3/4

Which expression is equivalent to 54 · (5-2)3 ?

Answers

Based on PEMDAS,
54 x (3)3
54 x 9
486

What is EB and DY? DY, EY, and FY are bisectors, and the answers can be "can not be determined"

Answers

Based on Pythagoras' theorem, EB is equal to 38.7 and DY is 17.7.

What is the length of the sides EB and DY?

The length of the sides EB and DY are obtained using Pythagoras theorem.

Since EY is a perpendicular bisector;

EB = √(64.2² - 51.2²)

EB = 38.7

Since, DY is a perpendicular bisector;

DY = √64.2² - 61.7²)

DY = 17.7

Therefore, EB is equal to 38.7 and DY is 17.7.

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prove it. this question is from trigonometry ​

Answers

Answer:

See below for step-by-step proof.

Step-by-step explanation:

[tex]\textsf{Given expression}:[/tex]

[tex]\cos^6 \theta+\sin^6 \theta[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]

[tex]\implies (\cos^2 \theta)^3+(\sin^2 \theta)^3[/tex]

[tex]\textsf{Use the identity}\quad a^3+b^3=(a+b)^3-3ab(a+b):[/tex]

[tex]\implies (\cos^2 \theta+\sin^2 \theta)^3-3 \cos^2 \theta\sin^2 \theta (\cos^2 \theta+\sin^2 \theta)[/tex]

[tex]\textsf{Use the identity}\quad \sin^2 \theta + \cos^2 \theta=1:[/tex]

[tex]\implies (1)^3-3 \cos^2 \theta\sin^2 \theta (1)[/tex]

[tex]\implies 1-3 \cos^2 \theta\sin^2 \theta[/tex]

[tex]\implies 1-3 (\cos \theta\sin \theta)^2[/tex]

[tex]\textsf{Use the identity}\quad \sin 2 \theta=2 \sin \theta \cos \theta \implies \dfrac{1}{2}\sin 2 \theta= \sin \theta \cos \theta:[/tex]

[tex]\implies 1-3 \left( \dfrac{1}{2}\sin 2 \theta\right)^2[/tex]

[tex]\implies 1-\dfrac{3}{4} \sin^2 2 \theta[/tex]

[tex]\textsf{Use the identity}\quad \sin^2 2\theta + \cos^2 2\theta=1 \implies \sin^2 2\theta=1-\cos^2 2\theta[/tex]

[tex]\implies 1-\dfrac{3}{4} \left(1-\cos^2 2 \theta\right)[/tex]

[tex]\implies 1-\dfrac{3}{4} +\dfrac{3}{4}\cos^2 2 \theta[/tex]

[tex]\implies \dfrac{1}{4} +\dfrac{3}{4}\cos^2 2 \theta[/tex]

[tex]\textsf{Factor out }\dfrac{1}{4}:[/tex]

[tex]\implies \dfrac{1}{4}\left(1+3\cos^2 2 \theta\right)[/tex]

[tex]\textsf{Use the identity}\quad \cos (4 \theta)=2 \cos^2 2\theta - 1 \implies \cos^2 2 \theta=\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}:[/tex]

[tex]\implies \dfrac{1}{4}\left(1+3\left(\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}\right)\right)[/tex]

[tex]\implies \dfrac{1}{4}\left(1+\dfrac{3}{2}\cos 4 \theta+\dfrac{3}{2}\right)[/tex]

[tex]\implies \dfrac{1}{4}\left(\dfrac{5}{2}+\dfrac{3}{2}\cos 4 \theta\right)[/tex]

[tex]\implies \dfrac{1}{4} \cdot \dfrac{1}{2}\left(5+3\cos 4 \theta\right)[/tex]

[tex]\implies \dfrac{1}{8}\left(5+3\cos 4 \theta\right)[/tex]

Ella needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3 hours and charged her $61 for parts. The total was $226. Write and solve an equation which can be used to determine x, the cost of the labor per hour

Answers

Answer - equation is $226= 3x + $61
Answer to cost per hour is $55
Step by step
We know the total spent is $226
We know the labor hours is 3
We know the parts cost (y intercept) is $61
We need to find x the cost per hour
$226=3x +$61
Subtract $61 from both sides to isolate x
$165 = 3x
Now divide both sides by 3 to solve for x
$55 = x
You can check your work by substituting $55 for x in your equation
$226 = (3)(55) + $61
$226 = $165 + $61
$226 = $226


During the sale, Carly pays $54 for a wheelbarrow. What was the original price?

Answers

The original price of the wheelbarrow is £75

How to determine the original price?

Let the original price be x.

From the question, the amount paid is:

Amount paid = 54

The reduced price is calculated as:

Reduced = Original price * (1 - discount)

This gives

x * (1- 20%) = 54

Evaluate the difference

x * 0.8 = 54

Divide by 0.8

x = 67.5

Hence, the original price is $67.5

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Complete question

The price of a wheelbarrow is reduced by 20%. During the sale, Carly pays $54 for a wheelbarrow. What was the original price?

Is Figure B a scale copy of Figure A?

Answers

Answer:

No.

Step-by-step explanation:

The ratio of the lengths of the vertical sides from A to B is 2/4 which equals 1/2.

The ratio of the lengths of the horizontal sides of A to B is 4/11.

Since 4/11 is not equal to 1/2, figure B is not a scale copy of figure A.

Use the Algebra Tiles to construct the algebraic expression for this situation:

What is this expression in simplified form?

`-4x -3 + 5x -2`

Answers

The given expression in simplified form is x - 5

Simplifying an expression

From the question, we are to simplify the given expression

The given expression is

-4x -3 + 5x -2

To simplify the expression, we collect like terms and then simplify

That is,

-4x + 5x -3 -2

= x - 5

Hence, the given expression in simplified form is x - 5

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Point A is the point of concurrency of the angle bisectors of ΔDEF.
Point A is the point of concurrency of triangle D E F. Lines are drawn from each point of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. The length of F A is 6 centimeters, the length of A D is 5 centimeters, the length of A X is 3 centimeters, and the length of Y D is 4 centimeters.

What is the length of ZA?
ZA = 3cm
ZA = 4cm
ZA = 5cm
ZA = 6cm

Answers

The correct answer is option A which is ZA = 3 cm

What is the triangle?

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The triangle is shown below.

From the triangle, A  is the concurrency point of angle bisectors of all vertices.

Consider ΔAYD,

Using the Pythagorean theorem,

AD² = AY² + YD²

5² = AY² + 4²

25 = AY² + 16

AY² = 25 - 16

AY² = 9

AY = √9 = 3 cm

Consider triangles ADY and ADZ.

∠AYD ≅∠AZD=90

∠ADY≅∠ADZ ( Angle bisector)

AD ≡ AD (common side)

The two triangles are congruent by the AAS postulate.

Therefore, by CPCTE, AY=ZA=3 cm

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PLEASE REFER THE ATTACHMENT. THANK YOU ​

Answers

The solution is given below:

What is price index?

An index number expressing the level of a group of commodity prices relative to the level of the prices of the same commodities during an arbitrarily chosen base period and used to indicate changes in the level of prices from one period to another.

Given:

Comm.         p0        q0       p1       q1       p0q0    p1q0       p1q1        p0q1

     A           25      750       30    960    18750      750       28800     24000

    B             30      450       25    550    13500     750       13750      16500

    C             5        250        6     360      1250     30        2160          1800

    D              6        90         7       210      540       42        1470           1260

    E               10        140       10     190     1400      100       1900          1900

     F                 4         48       5     65      192          240        365         260

Now,

[tex]\sum[/tex]p0q0 = 35632

[tex]\sum[/tex]p1q0 = 1912

[tex]\sum[/tex]p1q1 = 48445

[tex]\sum[/tex]p0q1= 45720

1) P01(L) = [tex]\sum[/tex]p1q0/[tex]\sum[/tex]p0q0 * 100

             = 5.36

2) P01(L) = [tex]\sum[/tex]p1q1/[tex]\sum[/tex]p0q1 * 100

            = 105.96

Dorbish- Bowley

= 5.36+ 105.96/2

=55.66

Marshall- Edgeworth

=  1912+  48445/35632 + 45720

= 50357/ 81352

= 0.619 *100= 61.9

Fisher's price index

=( 5.36 * 105.96 )^ 0.5

=23.831

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Jevon Noda's home has a market value of $72,000, the rate of assessment is 30%, and the tax rate is 85.
mills. Find the a) assessed value, b) tax rate as a decimal, and c) real estate tax.

Answers

The required a) assessed value = $21600,
                    b) tax rate = 0.0855,
                    c) real estate tax = $1836.

What is cost price?

Cost price is that price for buyer which he pays to seller for an object or product.

a) assessed value = 72000 x 30/100
 =  $21600
b) tax rate = 85.5/1000
    =  0.0855
c) real estate tax = 0.855 x 21600
   =  $ 1836

Thus, the required values of a) assessed value, b) tax rate as a decimal, and c) real estate tax is  $21600, 0.085 and $1836 respectively.

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please help with sin question

Answers

Answer: A

Step-by-step explanation:

The cosine of an angle is equal to the sine of its complement, and vice versa.

In constructing 98% confidence intervals for means, what do we expect will be true over the long run?

Answers

In constructing 98% confidence intervals for means, it is true that the statistic is good enough, and is less uncertain.

What is a confidence interval?

A confidence interval expresses the degree of uncertainty surrounding a given statistic. A margin of error is frequently used with confidence intervals. It reveals the degree to which you may be certain that the findings of a poll or survey correspond to what you would anticipate discovering if it were possible to poll the complete population. Levels of confidence are inextricably linked to confidence intervals.

Your level of confidence in your findings is shown by the confidence interval. You can never be certain that your results will hold for future surveys or experiments. In statistics, being 95% or 98.5% certain is typically seen as "good enough."

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find the perimeter and area of a triangle whose sides are of length 2cm, 5cm and 5cm​

Answers

Answer:

Perimeter:12cm

Area:5cm²

Step-by-step explanation:

Perimeter is the total distance around the figure ie sum of all sides of figure

∴Perimeter of triangle equals 2cm plus 5cm plus 5cm

∴The perimeter equals 12cm

Area of triangle equals 1/2×base×height,where base is 2cm & height is 5cm

(Inserting values)

∴Area of the triangle equals 1/2×2cm×5cm which equals 5cm²

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. Assume that the population standard deviation is 2.4 gallons. The mean water usage per family was found to be 19.5 gallons per day for a sample of 3034 families. Construct the 98% confidence interval for the mean usage of water. Round your answers to one decimal place.

Answers

The confidence interval for the mean usage of water is (18.7,20.5).

Given population standard deviation of 2.4, mean of 19.5 gallons per day and confidence interval of 98%.

We have to find the confidence interval for the mean usage of water.

To find out the confidence interval we have to first find margin of error.

μ=19.5

σ=2.4

α=0.98

α/2=0.49

We have to find the z value for the p value 0.49 which is z=2.33

Margin of error=z*μ/[tex]\sqrt{n}[/tex]

=2.33*19.5/[tex]\sqrt{3034}[/tex]

=0.82

lower level=mean -m

=19.5-0.82

=18.68

after rounding upto 1 decimal

=18.7

upper mean = mean+m

=19.5+0.82

=20.52

Hence the confidence interval for the usage of water is (18.7,20.52).

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uuuuubhbjvykuhctkkhygtcykxmhfxg

Answers

The surface area of the spherical ball is given as follows:

[tex]635.04\pi[/tex] yd².

What is the surface area of a sphere?

The surface area of a sphere of radius r is given as follows:

[tex]S = 4\pi r^2[/tex].

In this problem, the diameter is of 25.2 yd, hence the radius is given by:

r = 0.5 x 25.2 yd = 12.6 yd.

Then the surface area in yd² is:

[tex]S = 4\pi (12.6)^2 = 635.04\pi[/tex].

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A pattern of rectangles is formed by decreasing the length and increasing the width, each by the same amount. The relationship between x, the amount of increase, and A, the area of the rectangle represented by the increase, is quadratic.

Which graph could represent the area of each rectangle in terms of the change in the length and width?

A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A straight line decreases from 0 to 9 units.
A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A line decreases from 0 to 3 units, increases from 3 to 6 seconds, and decreases from 6 to 9 seconds.
A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A line increases from 0 to 3 seconds then decreases from 3 to 9 seconds.
A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A curved line decreases from 0 to 9 units.

Answers

The graph that can represent the area of each rectangle in terms of the change in the length and width is C. A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A line increases from 0 to 3 seconds then decreases from 3 to 9 seconds.

How to illustrate the information?

It should be noted that a graph gives a diagrammatic representation of an information.

Here, the rectangles are formed by decreasing the length and increasing the width, each by the same amount.

Thai can be illustrated by the third graph in the option as the line increases from 0 to 3 seconds then decreases from 3 to 9 seconds.

In conclusion, the correct option is C.

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Answer:

(っ◔◡◔)っ ♥ the answer is C ♥

Step-by-step explanation:

got it right on edge

a woman is 40 years old. her daughter is one quarter her age. what years and months is her daughter​

Answers

Answer:

10 years old or 120 months old

10 years old and if they want months it could also be 120 months but i would put 10 years

Elliott is standing at the top of a store escalator that leads to the ground floor below. The angle of depression from the top of the escalator to the floor is 42.51°, and the escalator is 16 feet long. How far is the top of the escalator from the ground floor? Round your answer to the nearest foot.

41 feet
17 feet
12 feet
11 feet

Answers

Answer: 11

Step-by-step explanation:

[tex]\sin 42.51^{\circ}=\frac{x}{16}\\\\x=16 \sin 42.51^{\circ} \approx 11[/tex]

Whoever helps me with this problem will have brainlist.

Answers

By definition of quotient, the rational number 1/3 represents a periodic infinite decimal number. That is to say, 1/3 is equivalent to the decimal number [tex]0.\overline{333}[/tex]

How to find the quotient of a fraction

The quotient of a fraction is found by dividing the fraction. Results in decimal form can be finite and infinite, infinite forms can be periodic or no periodic. This fraction represents a periodic infinite decimal number.

[tex]\frac{1}{3} = 0.\overline{333}[/tex]

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The expression of the fraction 1/3 as a quotient is; 0 remainder 3 or 0 r 3.

How to find the quotient of a fraction?

Quotient is described as the quantity produced by the division of two numbers.

Now, we want to find the quotient of 1/3. It should be noted that this quotient should not be in decimal form and so it gives us;

0 remainder 3 since 3 as a denominator is bigger than 1 as numerator.

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1. Your friend really wants to buy the newest cell phone which will cost him $600. He gets a job detailing cars and SUVs and plans to save all the money he earns. If he gets paid $65 to detail a car
and $90 to detail an SUV, what linear inequality can be used to determine how many of each he must detail in order to earn at least $600?
A. 65c+90s > 600
B. 65c + 90s 2 600
C. 65c+90z ≤ 600
D. 65c+90z< 600

Answers

Answer:

I'm not sure if B. is incorrectly written but the answer would be

65c + 90s [tex]\geq[/tex]600

Step-by-step explanation:

since he needs AT LEAST 600$ then the sign should look like that. 65 dollars per car, and c represents the amount of cars, and 90 per SUV and s represents how many SUVS

B. 65c + 90s ≥ 600 is the correct option.

Our friend really wants to buy the newest cell phone which will cost him $600. He gets a job detailing cars and SUVs and plans to save all the money he earns.

What is inequality?

Inequality can be defined as the relation of the equation contains the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,

If he gets paid $65 to detail a car and $90 to detail an SUV

The inequality form for above condition so he can earn at least $600

= 65c + 90s ≥ 600, where c = cars and s = SUV

Thus, the required inequality is given by 65c + 90s ≥ 600.

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10. The figure is reflected across line m and then reflected across line n. What type of transformation is the result?
reflection
translation
rotation

Answers

rotation. it’s rotating 180 degrees since it gets reflected twice

Find the equivalent expression of the following: x3 (x2 + 5x + 7)
1. x5 + 5x3 + 7x2
2. x6 + 5x4 + 7x3
3. x5 + 4x4 + x4 + 8x3 – x3
4. x5 + 3x4 + x4 + 6x3 + x3

Answers

The product of the given function is x^5 + 5x^4 + 7x^3

Product of polynomial functions

The leading degree of a polynomial function is always greater than or equal to 2.

Given the products below;

x^3 (x^2 + 5x + 7)

Expand

(x^3)(x^2) + 5x(x^3) + 7x^3

Simplify

x^5 + 5x^4 + 7x^3

Hence the product of the given function is x^5 + 5x^4 + 7x^3

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The equivalent expression of  x³(x² + 5x + 7) is  x⁵ + 5x⁴ + 7x³

How to find equivalent expression?

The equivalent expression of the expression can be found as follows;

x³(x² + 5x + 7)

let's open the bracket by multiplying.

Therefore,

x³(x² + 5x + 7) = x⁵ + 5x⁴ + 7x³

Hence,

The equivalent expression of  x³(x² + 5x + 7) is  x⁵ + 5x⁴ + 7x³

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Write the numbers in order from least to greatest. -3, 1 ¹/4, -1 3/4, ¹/10​

Answers

-3, -1 3/4, 1/10, 1 1/4

Which of these tables represents a linear function?

Answers

Answer:

a

Step-by-step explanation:

a is the anwer because b/c it has a constant rate of change unlike the others

A cylinder has a radius of 5x-1. Write a simplified expression for its volume where V= pi r^2 h

Answers

The volume of the cylinder whose radius is 5x-1 unit is 25x²πh + πh - 10xπh.

What is the volume of a right circular cylinder?

Suppose that the radius of the considered right circular cylinder is 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The right circular cylinder is the cylinder in which the line joining centre of the top circle of the cylinder to the centre of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

Given that the radius of the cylinder is (5x-1), while the height of the cylinder is h. Therefore, the volume of the cylinder is,

The volume of the cylinder = π × (5x-1)² × h

                                            = (25x² + 1 - 10x)πh

                                            = 25x²πh + πh - 10xπh

Hence, the volume of the cylinder is 25x²πh + πh - 10xπh.

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A long wire carries a current toward the north in a magnetic field that is directed vertically downward perpendicular to the surface of Earth. What is the direction of the magnetic force on the wire Whats the correct answer for this question? Disturbances inside Earths core cause earthquakes. The starting point of the disturbance is called the epicenter. Why does the amplitude of a seismic wave usually decrease as the wave moves away from the epicenter?A. The waves lose energy in the form of heat.B. The frequency of the waves continues to increase.C. The wavelength of the waves continues to decrease.D. The waves encounter entirely different mediums. Reflex agents are characterized by direct links between perceptual systems and effector systems. These links are achieved by: In the month of July (31 days), a company had an available balance in their deposit account of $4,126,000 and service charges of $2,500. If the ECR for the month was 45 bp (0.45%), and the reserve requirement of 10%, how much will the company owe the bank in hard dollar fees, after adjustment for earnings credit In a healthy animal, antidiuretic hormone would need to be released into the bloodstream when A person pushes a car with a force of 50 pounds. the car moves 5 feet into his garage. how much work was done? 5 foot-pounds 10 foot-pounds 50 foot-pounds 250 foot-pounds Romanticism was largely a reaction to what previous age? Multiple choice question. The Age of Emotion The Baroque Age The Medieval Period The Age of Reason Write an expression that executes the loop body as long as the user enters a non-negative number. Note: If the submitted code has an infinite loop, the system will stop running the code after a few seconds and report "Program end never reached." The system doesn't print the test case that caused the reported message. Sample outputs with inputs: 9 5 2 -1BodyBodyBodyDone.Preferred in Pythonuser_num = int(input())while ''' Your solution goes here ''': print('Body') user_num = int(input())print('Done.') SolutionWe are given two endpoints herePoint 1: (1, Answer )Point 2: ( Answer ,4)We know our rise between the two points is 1. So12= AnswerAnd our run between the two points is 4. So42= AnswerWe now have rise2+run2=distance2, so we have1+16=distance2Answer =distance2So once we take the square root of both sides we havedistance= AnswerWe could also use the actual distance formula we developed to get the same answer.d=(43)2+(5(1)2)d=(12+(4)2)d=(1+16)d= Answer Tony has recently experienced the death of his wife in a hit-and-run car accident. He has a very close network of friends and family who are there to support him. Tony is a yoga instructor and has a well-established coping strategy when he is stressed. What would the contemporary life-events approach say about Tony and his experience The fit line equation is Y = -2.61x +152.51, where x is variable 1 and Y is variable 2. According to the equation, what is the expected value of Y when x-value is 45? What should be done to treat a second-degree burn? Please Help fast!!!!! I'll give 30 pts.!Use the information in this table(in the attachment) to help you answer the questions. Remember, you have a budget of $20,000 for the car.1. What add-on options do you want in your car? Sun-roof, and Keyless entry2. Write an inequality to model purchasing a car from Dealership A with the desired add-on options and staying within your budget. Use x to represent the base price of the car. (Assume that only the base price of the car is taxed to simplify the problem.) 3. Solve for x. Explain in words what the solution to the inequality means. 4. Graph the possible base price values that are included in the solution. Please upload an image of your graph. 5. Complete 24 for Dealership B using the same add-on options. Will you buy from Dealership A or from Dealership B? Why? Mayo predicted that a group with ________ behaviors and ________ social bonds would have very little chance of succeeding at the task. Which of the following are predatory lending practices?Choose only ONE best answer.A. Knowingly lending to people who can't afford the loanB. Falsifying loan applicationsC. Charging high interest ratesD. Balloon PaymentsE. High upfront fees draw the following vectors Halfway through the season, a soccer player has made 12 penalty kicks in 18 attempts. Based on her performance to date, what is the relative frequency probability that she will miss her next penalty kick? Which section of a research article includes an explanation of the procedures used to conduct the experiment?. Lewis is planning a cycling holiday.a) He decides to cycle for 6 hours each day.He thinks he can cycle at an average speed of 12 miles per hour.How far would Lewis cycle each day?miles