2x^2-50=0
Just use and algebraic method

Answer:

When we're not sure of something we can always put x in our equation because we don't know what it is, so lets assume that Skylar works x hours tutoring.

The amount earned from babysitting = $12 per hour × 3 hours = $36.

The amount earned from tutoring = $22 per hour × x hours = $22x.

The total amount earned must be at least $140, so the equation is:

$36 + $22x ≥ $140

$22x ≥ $140 - $36

$22x ≥ $104

x ≥ $104 / $22

x ≥ 4.727

We can round it off to 5, so Skylar must work a minimum of 5 hours for tutoring.

\(a_n = a_(n-1) + a_(n-2)\)

where a_n is the number of bit strings of length n that contain a pair of consecutive 0s, a_(n-1) is the number of bit strings of length (n-1) that contain a pair of consecutive 0s, and a_(n-2) is the number of bit strings of length (n-2) that contain a pair of consecutive 0s.

To find a recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s, we can start by noting that the number of bit strings of length n that contain a pair of consecutive 0s (a_n) is dependent upon the number of bit strings of length (n-1) that contain a pair of consecutive 0s (a_(n-1)) and the number of bit strings of length (n-2) that contain a pair of consecutive 0s (a_(n-2)). This is because the last two bits of a bit string of length n can be either 00, 01, or 10. If the last two bits are 00, then the bit string of length n contains a pair of consecutive 0s and the remaining bit string must be of length (n-2). If the last two bits are 01 or 10, then the bit string of length n does not contain a pair of consecutive 0s and the remaining bit string must be of length (n-1). Therefore, we can conclude that the recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s is a_n = a_(n-1) + a_(n-2).

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Graph for f(x)=2(x-2)²+3:

Graph for f(x)=-2(x-2)²-3:

Graph for f(x)=2(x+2)²-3:

Graph for f(x)=2(x-2)²-3:

The correct answer is the last choice.

Answer:

  caveat: your grader may expect <E, N> coordinates, reversed from these

  A. <N, E> = <-200, 346.410> (plane) and <25.712, 30.642> (wind)

  B. resultant <N, E> = <-174.288, 377.052>

  C. resultant = 415.385∠115°

Step-by-step explanation:

The necessary calculations for vector arithmetic are handily carried out by a suitable calculator. The attached shows a TI-84 work-alike, but there are many other possible choices.

The necessary calculations for doing this "by hand" (without a calculator that does vectors or complex numbers) are ...

  a∠b = a·cis(b) = (a·cos(b) +i·a·sin(b))

  a +i·b = √(a²+b²)∠arctan(b/a) . . . . . with attention to signs and quadrant

__

Ordinarily, bearings are measured clockwise from North, and angles in the x-y or complex plane are measured counterclockwise from +x (East). If you use bearing angles without any translation, the resulting (complex plane) coordinates from rectangular/polar conversion are ...

  (North + i·East)

Coordinates in this system can be added and subtracted in the usual way. When the result is converted back to a distance and direction, that direction can be considered to be a bearing angle. In short, we can use bearing angles in our math with no special treatment, provided we are consistent in that usage.

__

The airplane speed vector in <north, east> coordinates is ...

  400∠120° = 400cos(120°) +i·400·sin(120°) = <-200, 346.410>

Similarly, the wind speed vector is ...

  40∠50° = 40cos(50°) +i·40sin(50°) = <25.712, 30.642>

__

The sum of the vectors is found from the sum of their components:

  plane + wind = <-200 +25.712, 346.410 +30.642> = <-174.288, 377.052>

__

Converting this vector in linear form back to a magnitude and direction gives ...

  magnitude = √((-174.288)² +377.052²) = √172544.644542

  magnitude ≈ 415.385 . . . mph

  direction = arctan(-377.052/174.288) . . . . . 90° < θ < 180°

  direction ≈ 115°

_____

Additional comment

As we discussed above, the vector coordinates used here are <N, E> coordinates. If you translate the bearing angles to Cartesian plane angles (measured CCW from +x), the corresponding coordinates will be <E, N> coordinates. That is, rectangular coordinates will be reversed from those shown here. If you're filling in an answer box, you may want to be aware of that fact.

Answer:

1

Step-by-step explanation:

-3/4 \  - 3 1\4  = 1

Answer:

do you still need the answer or no?

The car has the best rate of miles per gallon is A. Car A has the best rate at 32 miles per gallon.

What is the ratio ?

ratio can be defined as the given value divided by total value.

It should be noted that Car A has 512 miles for 16 gallons. The miles per gallon will be:

= 512 / 16

= 32 mile per gallon

It should be noted that Car B has 360 miles for 20 gallons. The miles per gallon will be:

= 360 / 20

= 18 miles per gallon

It should be noted that Car C has 486 miles for 18 gallons. The miles per gallon will be:

= 486 / 18

= 27 miler per gallon

Therefore, the car has the best rate of miles per gallon is Car A has the best rate at 32 miles per gallon.

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He Can buy 2 shirts and stay under budget

Inequality can be viewed from different perspectives, all of which are related. Most common metric is Income Inequality, which refers to the extent to which income is evenly distributed within a population. Related concepts are lifetime Inequality (inequality in incomes for an individual over his or her lifetime), Inequality of Wealth (distribution of wealth across households or individuals at a moment in time), and Inequality of Opportunity (impact on income of circumstances over which individuals have no control, such as family socioeconomic status, gender, or ethnic background).

49 + 19.59x ≤ 100

x ≤ ( 100-49)/19.59

x ≤ 2.603

He Can buy 2 shirts and stay under budget.

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The rectangle with dimensions 21 m by 21 m has the largest area among rectangles with a perimeter of 84 m.

To find the dimensions of a rectangle with a perimeter of 84 m that maximizes the area, we need to use the properties of rectangles.

Let's assume the length of the rectangle is l and the width is w.

The perimeter of a rectangle is given by the formula: 2l + 2w = P, where P is the perimeter.

In this case, the perimeter is given as 84 m, so we can write the equation as: 2l + 2w = 84.

To maximize the area, we need to find the dimensions that satisfy this equation and give the largest possible value for the area. The area of a rectangle is given by the formula: A = lw.

Now we can solve the perimeter equation for l: 2l = 84 - 2w, which simplifies to l = 42 - w.

Substituting this expression for l into the area equation, we get: A = (42 - w)w.

To maximize the area, we can find the critical points by taking the derivative of the area equation with respect to w and setting it equal to zero:

dA/dw = 42 - 2w = 0.

Solving this equation, we find w = 21.

Substituting this value of w back into the equation l = 42 - w, we get l = 42 - 21 = 21.

Therefore, the dimensions of the rectangle that maximize the area are l = 21 m and w = 21 m.

In summary, the dimensions of the rectangle are 21 m by 21 m, so the answer is A. 21, 21.

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The expression that represents the correct translation of the phrase is 8x = x + 2

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Let x represent the unknown number, the product of 8 and a number is equal to the number increased by 2, hence:

8 * x = x + 2

8x = x + 2

The expression that represents the correct translation of the phrase is 8x = x + 2

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Answer:

-1, 0, 1, 2

Step-by-step explanation:

\(\sqrt{5-5} -1\\\sqrt{0} -1\\0-1\\-1\)

\(\sqrt{6-5} -1\\\sqrt{1} -1\\1-1\\0\)

\(\sqrt{9-5} -1\\\sqrt{4} -1\\2-1\\1\)

\(\sqrt{14-5} -1\\\sqrt{9} -1\\3-1\\2\)

Answer:

The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.

If the function approaches a specific value (y = c) as x approaches infinity or negative infinity, then it has a horizontal asymptote at y = c.

To determine if a function has a horizontal asymptote, consider the behavior of the function as x approaches positive or negative infinity. The main idea is to analyze the end behavior of the function.

Degree of Polynomials:

If the degree of the numerator is less than the degree of the denominator, the function has a horizontal asymptote at y = 0 (the x-axis). If the degree of the numerator is equal to the degree of the denominator, divide the coefficients of the highest degree terms. The resulting ratio determines the horizontal asymptote. If the degrees are unequal, there is no horizontal asymptote.

Limits:

Take the limit of the function as x approaches positive or negative infinity. If the limit evaluates to a finite value, that value represents the horizontal asymptote. If the limit is infinite (∞) or does not exist, there is no horizontal asymptote.

Infinity:

If the function involves terms like exponential functions or logarithmic functions, analyze their behavior as x approaches infinity. Exponential functions with positive exponents tend to infinity, while those with negative exponents approach zero. Logarithmic functions tend to negative infinity as x approaches zero.

By considering these methods, you can determine if a function has a horizontal asymptote and find its equation or behavior as x approaches infinity or negative infinity. Remember to apply these techniques with caution and consider the specific characteristics of the function being analyzed.

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Answer:

hmm a good movie for a english or social studies assignment would be Outsiders

Step-by-step explanation:

Answer:

in my opinion the best tv show is supernatural  

Step-by-step explanation:

its about two brothers follow their father's footsteps as hunters, fighting evil supernatural beings of many kinds, including monsters, demons and gods that roam the earth.

but thats probably not the best tv show for a school assignment, id watch these movies instead, the divergent movies, hunger games movies, the 5th wave, feinheight 451, ect....

Answer:

The volume of the rectangular prism can be calculated by multiplying its length, width, and height: 8 x 4.12 x 3.12 = 128.064 cubic inches.

Answer:

V=342,784in

Step-by-step explanation:

V=1/3(L×W×H)

where v=volume of rectangular prism,L=length.W=width or breadth,H=height

V=1/3×8×412×312

V=342,784in

Answer:

nth term = 2n^2 - 3n - 6.

Step-by-step explanation:

                      n   =  1   2    3    4     5     6    7  

                             - 7   -4   3   14   29   48   71  

Differences                3    7   11    15   19    23

Differences                   4   4     4    4     4

So the first term in the Rule is 2n^2

Subtracting  the values of 2n^2 from the original terms:

                  - 7   -4   3      14   29   48   71  

2n^2           2     8  18    32   50   72   98

Subtrct       -9   -12 -15  -18   -21   -24   -27

                       -3     -3    -3   -3    -3     -3

So we have -3n  and the last  term is  -6 because    -7 = 2(1)^2 -3 - 6  and the other terms fit this pattern as well.

The nth term rule of the provided quadratic sequence to find the n'th term of the sequence is 2n²-3n-6.

The quadratic sequence is the series of the numbers in which the rule for the n'th term included an n squared term (n²). The quadratic equation for n can be given as,

\(an^2+bn+c\)

Here, (2a) is equal to the second difference, (3a+b) is equal to the first difference and (a+b+c) is equal to the first term.

The sequence given in the problem is

\(-7, -4, 3, 14, 29, 48, 71\)

Thus, (a+b+c) is,

\(a+b+c=-7\)                ......1

The first difference between the sequence is,

\(3,7,11,15,19,23\)

Thus, the value of (3a+b) is,

\(3a+b=3\\b=3-3a\)                      ......2

The second difference between the sequence is,

\(4,4,4,4,4\)

Thus, the value of 2a is,

\(2a=4\\a=\dfrac{4}{2}=2\)

Put this value in equation 2 as,

\(b=3-3\times2\\b=-3\)

Put the value of a and b in equation 1 as,

\(2-3+c=-7\\c=-7+1\\c=-6\)

Put these values in the above formula as,

\(2n^2-3n-6\)

The nth term rule of the provided quadratic sequence to find the n'th term of the sequence is,

\(2n^2-3n-6\)

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Answer:

P = -5

Step-by-step explanation:

First try to get the variable p by its self and the whole numbers on the opposite side.

14p - 8 = 22 + 20p

-14p                - 14 p

-8 = 22 + 6p

-22  -22      

-30 = 6p

Then divide to get P alone

-30 = 6p

/6        /6

-5 = p

Answer:

here is your answer

Step-by-step explanation:

I have Helped please mark me brainliest

Answer:

As shown in picture, this is a trapezoid.

The area of a trapezoid is calculated by:

A = (base1 + base2) x height x (1/2)

To work out A, we need to find out base1, base2, and height.

base1  = YZ = \(\sqrt{(Zx - Yx)^{2} + (Zy - Yy)^{2} } = \sqrt{(5 - 2)^{2} + (5 - 5)^{2} } = 3\)

base2 = XW =\(\sqrt{(Wx - Xx)^{2} + (Wy - Xy)^{2} } = \sqrt{(8 - 1)^{2} + (1 - 1)^{2} } = 7\)

Otherwise, the height (distance between base1 and base2) is 4 as shown in picture.

=> A = (3 + 7) x 4 x (1/2) = 20

Hope this helps!

:)

Answer:

684

Step-by-step explanation:

Since 90% = 0.9

0.9 x 760

Which equals 684

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Answer:

=684

Step-by-step explanation:

90% of 760

90/100 x 760

=684

The area lying outside r=2cosθ and inside r=1 cosθ area is given as - (3/2) ​π.

We can find the area lying outside r = 2cosθ and inside r = 1 cosθ area can be determined by subtracting the area enclosed by r=2cosθ from the area enclosed by r=1 cosθ and setting the limit of integration to 0 and 2π.

We can find The area enclosed by r=1 cosθ  by integrating the given equation by limits of 0 and 2π and the equation can be given as:

= 1/ 2×​∫[0 2π]​ (1cosθ)²dθ

= 1 / 2​π

We can find The area enclosed by r=2cosθ by integrating the given equation by limits of 0 and 2π and the equation can be given as

= 1 / 2 ​∫[02π]​(2cosθ)²dθ

= 2π

By subtracting the area enclosed by r = 1 cosθ from the area enclosed by r=2cosθ we can get the area lying outside r=2cosθ and inside r=1 cosθ is 1 / =1 / 2π - 2 π

= - 3/2​π

Therefore, The area lying outside r=2cosθ and inside r=1 cosθ is - 3/2​π

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Here is the binary tree representation of the expression ((x+2)↑3)*(y-(3+x))-5:

javascript

            *

          /   \

         ↑    5

       /   \

      *    -

     / \  / \

    +  2 y  +  3  x

   / \

  x   2

a) Prefix Notation:

*-^+x23y-+3x5

b) Postfix Notation:

x2+3+x-y^3*5-

c) Infix Notation:

((x + 2) ^ 3) * (y - (3 + x)) - 5

The expression ((x+2)↑3)*(y-(3+x))-5 can be represented in a binary tree as well as in prefix, postfix, and infix notations.

Explanation:

To represent the given expression using a binary tree, we can break it down into individual operations and operands. Here's the binary tree representation:

                             *

                           /   \

                         ↑       5

                       /   \

                      *     -

                    /  \   /  \

                  +     y  3   +

                /  \       /  \

              x     2     3   x

In prefix notation, the expression is written by placing the operator before its operands. The prefix notation for the given expression is:

↑ + x 2 3 - y + 3 x 5

In postfix notation, the expression is written by placing the operator after its operands. The postfix notation for the given expression is:

x 2 + 3 ↑ y x 3 + - 5 *

In infix notation, the expression is written by placing the operators between the operands. The infix notation for the given expression is:

((x + 2) ↑ 3) * (y - (3 + x)) - 5

These representations provide different ways of expressing the same mathematical expression, each with its own rules for evaluating the expression.

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To determine the minimum total sample size needed to detect a desired effect of 50 mg/l lower than the true mean water hardness of the stock ponds, you would use a significance level of 0.05 and a power of 0.8. This ensures the statistical test has adequate sensitivity to identify the effect while maintaining a low risk of false-positive findings.

The minimum total sample size needed to detect the desired effect of 50 mg/l is lower than the true mean water hardness of the stock ponds, a significance level of 0.05 and a power of 0.8 are required. The sample size calculation requires knowledge of the expected effect size, variability of the data, and significance level

. Using statistical software, the calculation can be done to obtain the minimum sample size required to achieve the desired level of significance and power. It is important to ensure that the sample size is sufficient to detect the desired effect size and to minimize the risk of a type II error.

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Answer:

A

Step-by-step explanation:

Bulldogs PitBulls Dogs the answer is A

Answer:

Step-by-step explanation:

Multiplication is Commutative. the term can be multiplied in either order. the product will be the same as the previous product.

OAmalOHopeO

Answer:

6, 9, 12, 15, 18, 21, 24, 27,

Step-by-step explanation:

Hope it helps

The probability that the service time will be more than three minutes is 0.3012.

Given that the average wait time at the Rivertown bank's neighborhood branch is 2.5 minutes and has an exponential distribution,

The time it takes to succeed in a continuous sequence of independent trials is described by the exponential distribution, which is a continuous probability distribution.

At the River Town Bank's neighborhood branch, the random variable X service time has an exponential distribution with a mean value of 2.5 minutes. Therefore,

\(f(x)=\left\{\begin{array}{ll}\theta e^{-\theta x},& \theta \geq 0,0\leq x\leq \infty\\0&\text{otherwise}\end{array}\)

E(x)=1/θ

θ=1/2.5

θ=0.4

The probability that the service time will be longer than three minutes:

\(\begin{aligned}P(X > 3)&=1-P(X\leq 3)\\ &=1-(1-e^{-0.4\times 3}\\ &=e^{-1.2}\\ &=0.3012\end\)

Since the service duration has an exponential distribution and a mean of 2.5 minutes, the needed chance that it will exceed 3 minutes is 0.3012.

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Answer:

multiply row × column

and in the first multiplication you should put an addition in between e.g 4×3+6×0....

Answer:

RST

Step-by-step explanation:

If an IR signal has a percent transmittance of 45%, then the sample absorbed 55% of the IR light

The percent transmittance of an IR signal = 45%

The equation of percent transmittance is

Percent transmittance = ( I / Io ) × 100

Where Io is the intensity of the IR signal entering the sample

I is the intensity of the IR signal leaving the sample

If the Io = I, then the percent transmittance is 100% that means the sample did not absorb any light and if Io= 0 then the the percent transmittance is 0% then sample absorbed all the light

Here, the percent transmittance is 45%, that mean the 55% of light absorbed by the sample

Therefore, the sample absorbed 55% of the IR light

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