Jim walks 2.4 mi of the 6.8 mi into town. A friend gives him a ride the
rest of the way. How far did his friend take him? _____

The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

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Answer:

f(x+2)=3x+5

Step-by-step explanation: hope this helps, love. have a good day

Answer:

y=19 z=19

Step-by-step explanation:

45 45 90 triangles are this: sides=hyp/sqrt(2)

mathXL lol

The simplest form of the rational expression is  1/x+4

Here we have given an expression

=> 4/(x+4) + x/(x - 4)

In order to find the simplest form, we have to find the common denominator,

For that we have to cross multiply the given terms, then we get the following,

=> [4(x - 4)/(x+4)(x-4)] + [x(x + 4)/(x - 4) (x + 4)]

Here we all know that the expression (x - 4) (x + 4) = x² - 4², then we have to apply these on the given expression, then we get,

=> [4(x-4)/x² - 4²] + [x(x +4)/x² - 4²]

Noe, we have to expand the terms,

=> [4x-16/x² - 16] + [x² + 4x/x² - 4²]

Now, we have to add  expression,

=> [4x - 16 + x² + 4x] / x² - 16

=> [x² + 8x - 16] / x² - 16

When we factorize the numerator and elaborate the denominator, then we get,

=> (x - 4)/(x - 4) ( x + 4)

Therefore, the simplified form is

=> 1/x+4

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Step-by-step explanation:

height = √6.5² - 2.5² = 6ft

Answer: 500 people don't read both.

Step-by-step explanation:

Answer:

i hope this helps you

7.4+(-2)

28-2

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Plug 4 in for y and -2 in for z giving you: 7(4)+(-2). 7*4=28 giving you 28+(-2). the portion +(-2) is the same as -2. This gives you 28-2 which is 26.

Answer:

D. 15x² + 62x + 63

Step-by-step explanation:

                  rectangle area: length * width

Here the length is ( 3x + 7 ) and width is (5x+9)

using the formula:

( 3x + 7 )(5x+9)

15x²+27x+35x+63

15x² + 62x + 63

Answer:

D. 15x^2 + 62x +63

Step-by-step explanation:

Area of rectangle = L x W

L = 3x + 7 ; W = 5x + 9

=> A = (3x + 7) x (5x +9) = 15x^2 + 62x +63

Using the given exponential function,

The rate of the disease spreading is approx. 140 peoples per day affected.

let P be the number of people's that are contacting a new disease.

given exponential function about the new disease modeled by population is

P(t) = 3725/(1 +1.72 e⁻⁰·⁵²ᵗ) ---(1)

where t is time measured in days

we want to calculate the rate of diseases spreading on day 4 i.e t = 4

putting the value t = 4 in above formula, we get

P(t=4) = 3725/(1 + 1.72 e⁻⁽⁰·⁵²⁾⁴)

=> P( t= 4) = 3725 / (1 + 1.72× e⁻⁰·²⁸)

=> P(t=4) = 3725/(1 + 1.72× 0.124)

=> P(t = 4) = 3725/(1+ 0.2148)

=> P(t=4) = 3725/1.2148

=> P(t = 4) = 3066.14

Hence, after 4 days of diseases spread , total 3066 people's are affected from it .

rate of diseases spreading per day is equal to (3725-3066)/4 = 659/4 = 139.75

so, rate of spreding diseases is 139.75 ~ 140 peoples per day .

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Answer:

m=\(\frac{23}{3}\) simplest form if you need it as a decimal its m=7.6

Step-by-step explanation:

Answer: C

Step-by-step explanation:

IT IS RIGHT ON -2

The standard deviation for the given data is 5

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

Given that,

the data,

X            Xₙ - X₀            (Xₙ - X₀)²

18            -7                      49

21             -4                      16

24            -1                        1

24            -1                        1

25             0                       0

31              6                      36

32            7                     49  

175                                  152

X₀  = 175/7 = 25

Variance  =    (Xₙ - X₀)²/(n-1)

                 =  152/(7-1)

                 =   25.33

Standard deviation =  √Variance

                                =  √25.33

                                =   5.03

Hence, the standard deviation is 5

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Addition And Subtraction

1.) -27+68-56+61= 46

2 ) 4.17-9.42+0.2= -5. 05

3 ) 3.1+(-4.72)+(-8.12)-(-0.96)=-8.78

4 ) -18.31-6.27+(-8.44)-(-31.67)=-1. 35

5 ) 6 5/12 - (-4 2/3)8 + (-2 3/4)= 5/12

6 ) 4 1/8 - 6 2/9+ (-3 1/6) - (-5 3/4)= -49/72

1.) -27+68-56+61=

Because in this arithmetic operation there is only addition and subtraction, it can be calculated starting from anywhere.

2 ) 4.17-9.42+0.2= -5. 05

Because in this arithmetic operation there is only addition and subtraction, it can be calculated starting from anywhere.

3 ) 3.1+(-4.72)+(-8.12)-(-0.96)=-8.78

Because in this arithmetic operation there is only addition and subtraction, it can be calculated starting from anywhere.

But it should be noted that before the number (-0.96) there is a negative sign (-) so you need to multiply the sign with the number in brackets. In this case the result is . positive.

4 ) -18.31-6.27+(-8.44)-(-31.67)=-1. 35

Because in this arithmetic operation there is only addition and subtraction, it can be calculated starting from anywhere.

But it should be noted that before the numbers (-8.44) and (-31.67) there is a negative sign (-) so you need to multiply the sign with the number in brackets. In this case the result is positive.

5 ) 6 5/12 - (-4 2/3) + (-2 3/4)= 5/12

In question number 5, it involves mixed fractions. To do this, you can change mixed fractions to improper fractions.

6 ) 4 1/8 - 6 2/9+ (-3 1/6) - (-5 3/4)= -49/72

In question number 6, it involves mixed fractions. To do this, you can change mixed fractions to improper fractions.

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To find the asymptotes of a graph, first determine the type of asymptote (horizontal, vertical, or slant) and identify the conditions that must be satisfied. Then, set the numerator or denominator equal to zero and solve for y or x, or divide the numerator by the denominator and find the equation of the line that the graph approaches as x approaches infinity.

To find the asymptotes of a graph, you can follow these steps:

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Bayes' theorem is used to connect the probability of a person's DNA profile appearing in a sample with the possibility of that person being guilty.

Likelihood ratio (LR) is the ratio of the possibility of the evidence given the accused's guilt divided by the probability of the evidence given the accused's innocence. LR is a frequent tool used by experts to estimate the likelihood of a suspect being the source of a DNA sample. The likelihood ratio can be used to assess the probability of a given event. For example, it may be used to determine the likelihood of a crime suspect's DNA profile appearing in a sample.

It is essential to know the likelihood ratio of the first, second, third, fourth, and fifth occurrence of the same diagnosis for the same person to make an accurate assessment of this probability. This may be accomplished by calculating separate likelihood ratios for each occurrence.

In any likelihood ratio calculation, Bayes' theorem is used to link the probability of an individual's DNA profile appearing in a sample with the possibility of that person being guilty. This theorem helps to account for the possibility of coincidental matches.

The value of the likelihood ratio is determined by the strength of the DNA evidence in the case. When there is a higher probability of a match, the ratio will be higher. The value of the LR should be sufficiently large to establish the probability of the evidence given the suspect's guilt or innocence. Typically, an LR of more than 100 is considered a strong match.

The likelihood ratio for the first occurrence is calculated by dividing the likelihood of the evidence given the accused's guilt by the likelihood of the evidence given the accused's innocence. The same calculation is repeated for each additional occurrence. The sum of the likelihood ratios for all occurrences is used to compute the overall likelihood ratio for the case.

To conclude, the separate likelihood ratios for the first, second, third, fourth, and fifth occurrences of the same diagnosis for the same person can be calculated to assess the probability of a given event. Bayes' theorem is used to connect the probability of a person's DNA profile appearing in a sample with the possibility of that person being guilty. An LR of more than 100 is considered a strong match.

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Answer:

Step-by-step explanation:

20c is the answer

Answer:

ans is 14

Step-by-step explanation:

i do not think is this by i know is 14

Answer:

3.6 in³

Step-by-step explanation:

If each cube is 1/5 inch:

15 cubes along the length = 15÷5 = 3 inches

5 cubes along the height = 5÷5 = 1 inch

6 cubes along the width = 6÷5 = 1.2 inches  (1 and 1/5)

V=lwh=3*1*1.2= 3.6 in³

The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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Answer: the equivalent system of equations is:
                       x = 17/37
                       y = -16/37

To determine the equivalent system for the given system of equations:
5x + 3y = 1
4x - 5y = 4

We can use the method of elimination. Here are the steps:

1. Multiply the first equation by 5 and the second equation by 3 to make the coefficients of x in both equations equal:

  5(5x + 3y) = 5(1)  -->  25x + 15y = 5
  3(4x - 5y) = 3(4)  -->  12x - 15y = 12

2. Add the resulting equations together to eliminate the variable y:

  (25x + 15y) + (12x - 15y) = 5 + 12
  25x + 12x + 15y - 15y = 17
  37x = 17

3. Divide both sides of the equation by 37 to solve for x:

  x = 17/37

4. Substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:

  5x + 3y = 1
  5(17/37) + 3y = 1
  85/37 + 3y = 1
  3y = 37/37 - 85/37
  3y = -48/37
  y = -16/37

Therefore, the equivalent system of equations is:

x = 17/37
y = -16/37

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The option that  rotates the square 90 degrees (one quarter turn) clockwise is option b.

Two-dimensional rotation can happen in two ways. Clockwise motion (abbreviated CW) follows the same path as the hands of a clock: from the top to the right, then down and to the left, and back up to the top. The opposite sense of rotation or revolution is anticlockwise (ACW) or counterclockwise (NCW) (in Commonwealth English).

Once a side of the rotational plane is given from which the rotation is observed, the terms clockwise and counterclockwise can be applied to a rotational motion. For example, when observed from above the South Pole, the daily rotation of the Earth is clockwise, and counterclockwise when viewed from above the North Pole.

Option b is to turn a quarter turn counterclockwise.

Option c is identical.

Option d is a half-turn clockwise.

So option a is the correct answer.

The option that  rotates the square 90 degrees (one quarter turn) clockwise is option b.

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In summary d²y/dx² in terms of x and y is given by: d²y/dx² = 3/2 x + 1/4 y

Why is it?

To find d²y/dx², we need to differentiate the given differential equation with respect to x:

dy/dx = x² - 1/2 y

Differentiating both sides with respect to x:

d²y/dx² = d/dx(x² - 1/2 y)

d²y/dx² = d/dx(x²) - d/dx(1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

Now, we need to express d/dx(y) in terms of x and y. To do this, we differentiate the original differential equation with respect to x:

dy/dx = x² - 1/2 y

d/dx(dy/dx) = d/dx(x² - 1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

d²y/dx² = 2x - 1/2 (d²y/dx²)

Substituting this expression for d²y/dx² back into our previous equation, we get:

d²y/dx² = 2x - 1/2 (2x - 1/2 y)

d²y/dx² = 2x - x/2 + 1/4 y

d²y/dx² = 3/2 x + 1/4 y

Therefore, d²y/dx² in terms of x and y is given by:

d²y/dx² = 3/2 x + 1/4 y

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\(\huge{ \mathfrak{  \underline{ Answer \:  \:  ✓ }}}\)

The Angle formed by an arc on the centre of the circle is double the angle made by the same arc on the circumference of the circle.

So,

\( \boxed{ \mathrm{ \angle TDB = \dfrac{1}{2} \angle TPB }}\)

_____________________________

\(\mathrm{☠ \: TeeNForeveR \: ☠}\)

For the intake of 1600 calories per day the grams of protein recommended is equal to 320 grams of protein.

As given in the question,

Total amount of calories intake per day is equal to 1600 calories per day

Percentage of protein from the intake of calorie is given as 20%

Grams of protein recommended per day as per given percentage

= 20% of 1600

= ( 20 / 100 ) × 1600

= 20 × 16

= 320 grams of protein per day

Therefore, the grams of protein per day recommended from the intake of 1600 calories per day is equal to 320 grams of protein.

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Answer:

-6, -2

Step-by-step explanation:

The solutions of the equation from least to greatest are -1.6, 0.5.

We have,

First, we need to rewrite the equation in standard form:

8x² + 12x - 8 = 0

Now we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Where a = 8, b = 12, and c = -8.

x = (-12 ± √(12² - 4(8)(-8))) / 2(8)

x = (-12 ± √(144 + 256)) / 16

x = (-12 ± √(400)) / 16

x = (-12 ± 20) / 16

So the two solutions are:

x = (-12 + 20) / 16 = 0.5

x = (-12 - 20) / 16 = -1.625

Rounding to the nearest tenth, we get:

x = 0.5, and x= -1.6

Therefore,

The solutions of the equation from least to greatest are -1.6, 0.5.

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Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

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Answer:

Each student will get a half a gallon of distilled water

Step-by-step explanation:

The number of polynomials that can be formed with -2 and 5 as zeroes are more than 1.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.x² -3x - 7 is an illustration of a polynomial with a single indeterminate x.

Given that the zeros of a polynomial are -2 and 5.

The polynomial that has a and b as zeors is p(x) = k[x² + (a+b)x + ab].

where k is a real number.

The polynomial that has -2 and 5 zeros is

p(x) = k[x² + (-2 + 5)x + (-2)×5]

p(x) = k[x² + 3x - 10]

Where k is a real number.

The number of real numbers is infinity.

The number of polynomials is infinity.

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Answer: I think it's 6

Step-by-step explanation: