asap i need help with my missing homework

Answer:

18% = Jan's percentage of error

Step-by-step explanation:

The percentage error (PE) formula

% error = (|measured value - actual value| / actual value) x 100%

Thus, we can find Jan's percentage of error using the following steps:

Step 1:  Convert Jan's estimated (measured) time of 5 hours to minutes by multiplying by 60:

5 hours x 60 minutes/hour = 300 minutes

Step 2:  Convert Jan's actual time of 4 hours and 15 minutes to minutes by adding the number of minutes (15) to the number of hours (4) converted to minutes:

4 hours x 60 minutes/hour + 15 minutes = 255 minutes

Step 3:  Find the difference and between Jan's estimated (measured) time and actual time.  Then take the absolute value of this value:

300 minutes - 255 minutes = 45 minutes

The absolute value of 45 is 45

Step 4:  Express the difference as a percentage of the actual time:

(45 minutes / 255 minutes) x 100% = 17.64705882% = 18%

Therefore, Jan's percentage of error is 18%. This means that her actual time was about 18% faster than her estimated time.

Answer:

The equation that represents the number of books (b) a student reads each week (w) if the student reads 3 books each week is:

B) b = 3w

Now, to find out how many books the student will read in 18 weeks, we can substitute the value of w as 18 into the equation:

b = 3 * 18

b = 54

Therefore, the student will read 54 books in 18 weeks.

The correct answer is D) w = 3b; 54.

Step-by-step explanation:

Answer:

c=0 .1x² + 2.4x +25= 430=52.56

Answer 19

Step-by-step explanation:

i tried my best in bath but not sure still 5 and a half+9+4=19 but round it to 19

Garage B is more cost-effective for any parking duration exceeding 2 hours.

When comparing Garage A and Garage B based on their pricing structure, it's important to consider both the flat fee and the hourly rate to determine which option is more cost-effective.

Garage A charges a flat fee of $5, regardless of the duration of parking, and an additional $2 for every hour parked. This pricing structure benefits those who need to park for shorter durations, as the flat fee is relatively low.

However, for longer parking durations, the hourly charge can accumulate significantly, making it less favorable for extended stays.

On the other hand, Garage B follows a different approach by charging a rate of $4.50 per hour with no flat fee. This pricing structure is more suitable for those who require shorter parking times, as they only pay for the exact duration of their stay. In such cases, Garage B would likely be more cost-effective compared to Garage A.

However, for longer stays, Garage A might offer better value. For example, if someone needs to park for 6 hours, Garage A would charge $17 ($5 flat fee + 6 hours * $2/hour) while Garage B would charge $27 ($4.50/hour * 6 hours). In this scenario, Garage A would be the more affordable option.

Ultimately, the choice between Garage A and Garage B depends on the individual's specific parking needs. If the stay is anticipated to be short, Garage B's hourly rate is preferable.

However, for longer durations, Garage A's combination of a flat fee and hourly rate may result in lower overall costs. It's essential to consider the anticipated length of stay to make an informed decision.

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The perpendicular line equation is y = -1/2x + 17/2. The parallel line equation is: y = 2x - 9.

Recall the following:

Parallel lines have the same slope value.

Perpendicular lines have slope value that are negative reciprocals to each other.

Given the equation of a line as, y = 2x - 2, the slope is 2. Therefore, we have:

Substitute m = -1/2 and (a, b) = (7, 5) into y - b = m(x - a) to find the perpendicular line equation:

y - 5 = -1/2(x - 7)

Rewrite in slope-intercept form:

y - 5 = -1/2x + 7/2

y = -1/2x + 7/2 + 5

y = -1/2x + 17/2

Substitute m = 2 and (a, b) = (7, 5) into y - b = m(x - a) to find the parallel line equation:

y - 5 = 2(x - 7)

y - 5 = 2x - 14

y = 2x - 14 + 5

y = 2x - 9

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The theoretical probability of winning any prize is 0.111.

The theoretical probability is calculated as follows:

Probability = number of favorable outcomes/total number of possible outcomes

The probabilities of winning each prize are given as:

First Prize: 1 in 1000 = 1/1000

Second Prize: 1 in 100 = 1/100

Third Prize: 1 in 10 = 1/10

The probability of winning any prize is the sum of the probabilities of winning each prize:

Probability of winning any prize = (1/1000) + (1/100) + (1/10)

Probability of winning any prize = 0.001 + 0.01 + 0.1

Probability of winning any prize = 0.111

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Answer:

50

Step-by-step explanation:

A+B=90+40

90+40 = 130

130(0.75) = 97.5

130-97.5 = 32.5

32.5x2 = 65

Now

65 - 15 = 50

Answer:

B. - 18

Step-by-step explanation:

-2 ║n + 6 ║                                     n = -15

= -2 ║ - 15 + 7 ║

= -2 ║-9 ║

= -2 · 9

= -18

So, the answer is B. - 18

The equation of the conic in standard form is (x + 1)² + (y - 4)² = 16.

In this problem we find the equation of the conic in general form, that is, an equation of the form:

A · x² + B · x + C · y² + D · y + E = 0

Where A, B, C, D, E are real coefficients.

And we are asked to find the standard form of the previous formula and this can be found by completing the square:

x² + 2 · x + y² - 8 · y + 1 = 0

(x² + 2 · x) + (y² - 8 · y) = - 1

(x² + 2 · x + 1) + (y² - 8 · y + 16) = 16

(x + 1)² + (y - 4)² = 16

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The volume of the figures are

The cylinder

The volume is calculated as

V = πr²h

Where

r = Radius

h = Height

So, we have

V = 22/7 * (32/2)² * 14

Evaluate

Volume = 11264

The cylinder

The volume is calculated as

V = πr²h

Where

r = Radius

h = Height

So, we have

(2r)² = 40² - 32²

(2r)² = 576

So, we have

r = 12

So, we have

V = 22/7 * (12)² * 32

Evaluate

Volume = 14482.28

The rectangular prism

The volume is calculated as

V = lwh

Where

l = Length

w = Width

h = Height

So, we have

V = 8 * 12 * 39

Evaluate

Volume = 3744

The triangular prism

The volume is calculated as

V = 1/2lwh

Where

l = Length

w = Width

h = Height

So, we have

V = 1/2 * 11 * 5.4 * 16

Evaluate

Volume = 475.2

The sphere

The volume is calculated as

V = 4/3πr³

Where

r = Radius

So, we have

V = 4/3 * 22/7 * (33/2)³

Evaluate

Volume = 18824.14

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The solutions of the function in coordinate form are (0.5,0) , (2.5, 0 ) and (5, 0)

The given equation is,

4x³ - 32x² + 65x - 25

Since it is a cubic equation,

So it has degree 3

Then it cuts the x axis at three points.

And these points  are nothing but solution of the given polynomials.

Now after plotting the graph of the given function

We get three points at which graph cuts the x axis as following;

(0.5,0) , (2.5, 0 ) and (5, 0)

Hence the solutions of the given functions are:

x =0.5 or x = 2.5 or x = 5.

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The number of candles that the company make on an average each hour is 38.

Given that,

BeeBright is a company that makes wax candles in the shape of a solid sphere.

Diameter of each candle = 15 cm

We have to find the volume of each candle.

Since the candles are in the shape of a solid sphere,

Volume of the candle = Volume of the sphere

                                    = 4/3 π r³, where r is the radius of the candle.

Radius of candle = Diameter / 2 = 7.5 cm

Volume of a candle = 4/3 π (7.5)³

                                 = 562.5π

                                 = 1767.14586764 cm³

Number of candles make in an hour = Total wax used / Wax used for 1 candle

= 67650 cm³ / 1767.14586764 cm³

= 38.28

≈ 38 candles

Hence 38 candles are made on an average.

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The volumes of the right prism are, respectively:

Case 6: V = 703.72 mm³

Case 7: V = 57905.84 mm³

Case 8: V = 3744 ft²

Case 9: V = 475.20 mm³

The volume of the sphere is:

Case 10: V = 18816.57 cm³

In this problem we find four cases of right prisms, whose volumes must be computed. This can be done with the help of following formulas:

Volume

V = A · h

Area formula - Rectangle

A = w · l

Area formula - Triangle

A = 0.5 · w · l

Area formula - Circle

A = π · r²

In addition, we need to determine the volume of a sphere:

V = (4π / 3) · r³

Where:

Now we proceed to determine the volume for each case:

Case 6

V = π · (16 mm)² ·  (14 mm)

V = 703.72 mm³

Case 7

V = π · [(40 mm)² - (32 mm)²] · (32 mm)

V = 57905.84 mm³

Case 8

V = (12 ft) · (8 ft) · (39 ft)

V = 3744 ft²

Case 9

V = 0.5 · (11 mm) · (5.4 mm) · (16 mm)

V = 475.20 mm³

Case 10

V = (4π / 3) · (16.5 cm)³

V = 18816.57 cm³

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The solutions to the quadratic equation x² - 3x + 9/10 = 0 are

x₁ = (3 + 3√(3)/√(5)) / 2 and x₂ = (3 - 3√(3)/√(5)) / 2

To find the solutions to the quadratic equation x² - 3x + 9/10 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this equation, the quadratic equation is in the form ax² + bx + c = 0. Comparing it to our given equation x² - 3x + 9/10 = 0, we can see that:

a = 1

b = -3

c = 9/10

Substituting these values into the quadratic formula, we have:

x = (-(-3) ± √((-3)² - 4(1)(9/10))) / (2(1))

x = (3 ± √(9 - 36/10)) / 2

x = (3 ± √(90/10 - 36/10)) / 2

x = (3 ± √(54/10)) / 2

x = (3 ± √(27/5)) / 2

To simplify the square root further, we can rationalize the denominator:

x = (3 ± √(27)/√(5)) / 2

x = (3 ± 3√(3)/√(5)) / 2

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Answer:

i) Increasing on:

(−∞,2), (6,∞)

Decreasing on:

(2,6)

ii) ( 6,4) is the local minima

 [tex](2, \frac{44}{3} )[/tex] is the local maxima

iii) Concave down on

(−∞,4) since f''(x) is negative

Concave up on

(4,∞) since f''(x) is positive

iiii)

Find where the second derivative is equal to 0

[tex](4, \frac{28}{3})[/tex]

A distance of x miles is represented by √10 inches on this map. The exact value of √10 is approximately 3.16 Option D.

To determine the number of inches on the map that represent a distance of x miles, we need to consider the given scale, which states that one inch on the map represents an actual distance of 10 miles.

If we set up a proportion using this information, we can solve for the unknown number of inches. The proportion would be:

1 inch (on the map) / 10 miles (actual distance) = x inches (on the map) / x miles (actual distance)

To simplify the proportion, we can cross-multiply:1 inch * x miles = 10 miles * x inches

This simplifies to:

x inches * x miles = 10 miles

Rearranging the equation, we get:

[tex]x^2 = 10[/tex]

To solve for x, we take the square root of both sides:

[tex]\sqrt{(x^2)} = \sqrt{10}[/tex]

Simplifying further, we have:

x = √10

Therefore, a distance of x miles is represented by √10 inches on this map. The exact value of √10 is approximately 3.16. Hence, the closest answer choice that corresponds to this is  3.

In summary, the number of inches on the map that represents a distance of x miles is approximately √10 inches, which is closest to 3 inches. So Option D is correct.

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Answer:

To determine the maximum height reached by the golf ball before it returns to the ground, we can analyze the given quadratic function:

y = -16x^2 + 80x

This quadratic function represents the height of the golf ball at time 'x' seconds. The maximum height occurs at the vertex of the quadratic equation, which can be found using the formula: x = -b / (2a).

For this function, a = -16 and b = 80. Substituting these values into the formula, we have:

x = -80 / (2 * -16)

x = -80 / -32

x = 2.5

To find the maximum height, substitute this value of 'x' back into the original equation:

y = -16(2.5)^2 + 80(2.5)

y = -16(6.25) + 200

y = -100 + 200

y = 100

Therefore, the golf ball reaches a height of 100 feet before it begins to return to the ground.

The correct answer is D. 100 ft.

Step-by-step explanation:

Answer:

-----------------------

Triangular faces have a base of 7 cm and height of 9 cm.

The area of one face is:

The area of one of the triangular faces in this square pyramid is

1.5 square cm

The area of a triangular face in the figure displaying net of square pyramid is achieved by using the formula for re of triangle

The formula for area of triangle is given by

= 1/2 base * height

= 1/2 * 7 * 9

= 1/2 * 63

= 31.5 square cm

We can therefore say that the e area of one of the triangular faces in this square  pyramid is 31.5 square cm

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It can be seen that f(t) ≥ f(1) = 0 for t ≥ 1, which establishes the inequality.

In order to establish the inequality when t is greater than or equal to 1, it is necessary to examine the function.

f(t) = (t + 1)(t³ - 1)/[3t(t² + 1)] - log(t).

It will be demonstrated later in the text that f(t) is positive when t is equal to or greater than 1.

One can start by noting that the value of f at 1 is equal to 0.

Next, compute the derivative f'(t) and simplify to obtain:

f'(t) = (2t² - t - 1)/(t²(t² + 1)²)

For t ≥ 1, the denominator is always positive.

The numerator is a quadratic with roots 1 and -1/2.

Since t ≥ 1, the value in the top part of the fraction is positively positioned.

f'(t) > 0 for t ≥ 1.

Since f'(t) is positive for t ≥ 1, f(t) is non-decreasing.

Thus, f(t) ≥ f(1) = 0 for t ≥ 1, which establishes the inequality.

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Answer:

See below

Step-by-step explanation:

x -2y = 11 → x = 2y + 11

-7(2y + 11) - 2y = -13

-14y - 77 - 2y = -13

-16y - 77 = -13

-16y = 64

y = -4

x = 2(-4) + 11 → x = -3

(3,-4)

Helping in the name of Jesus.

Answer: Other point = 4/5

Step-by-step explanation:

(2/5)*2=4/5

Answer:

  (x, y) = (4, -9)

Step-by-step explanation:

You want to solve this system of equations by elimination:

The coefficients of x are not integer multiples of each other, but the coefficient of y in the first equation is 4 times the coefficient in the second equation. To eliminate y, we can multiply the second equation by -4 and add the result to the first equation:

  (-8x -4y) -4(-5x -y) = (4) -4(-11)

  12x = 48

  x = 4

Using the second equation to find y, we have ...

  -5x +11 = y

  -5(4) +11 = -9 = y

The solution is (x, y) = (4, -9).

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Examining the figure the questions are solved to be

Common internal tangent = line HJ

point of tangency = G

Center = A

chord = line GK

secant = line CD

diameter = EF

common external tangent = line KF

radius = line BF

semi-circle = arc EGF

Major arc = arc CDK

Minor arc = arc CK

A major arc refers to the arc that is more than 180 degrees while minor arc is below 180 degrees.

considering the figure the arc CDK is above 180 degrees hence the major arc other major arcs are

DKG

GCD and so on.

while some of the minor arcs are

arc DG

arc DK

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Check the picture below.

so let's use those two points from it to get the equation.

[tex]{\Large \begin{array}{llll} y = ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ (2~~,~~1.6)\hspace{5em}1.6=ab^2\implies 1.6=abb \\\\[-0.35em] ~\dotfill\\\\ (3~~,~~6.4)\hspace{5em}6.4=ab^3\implies 6.4=abbb\implies \stackrel{\textit{substituting from above}}{\cfrac{6.4}{abb}=b\implies\cfrac{64}{1.6}=b} \\\\\\ \boxed{4=b}\hspace{6em}1.6=a(4)(4)\implies \cfrac{1.6}{(4)(4)}=a\implies \boxed{\cfrac{1}{10}=a} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} y=\frac{1}{10}(4)^x \end{array}}~\hfill[/tex]

Answer:

----------------------

There are various combinations of coins.

In total there are:

The volume of the rectangular prism is 22.5 cubic meters.

To find the volume of a rectangular prism, we multiply its length, width, and height together.

Given that the length is 2.5 meters, the width is 4 meters, and the height is 2.25 meters, we can calculate the volume.

Volume of the rectangular prism = Length [tex]\times[/tex] Width [tex]\times[/tex] Height

Volume = 2.5 meters [tex]\times[/tex] 4 meters [tex]\times[/tex] 2.25 meters

Simplifying the calculation:

Volume = 22.5 cubic meters.

Imagine a rectangular-shaped solid object with the following measurements:

Length: 2.5 meters

Width: 4 meters

Height: 2.25 meters

The length is the longer side of the rectangle, the width is the shorter side, and the height represents the vertical dimension.

The object has six faces: two rectangular faces with dimensions 2.5 meters by 4 meters, two rectangular faces with dimensions 2.5 meters by 2.25 meters, and two rectangular faces with dimensions 4 meters by 2.25 meters.

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Answer: 141.4

Step-by-step explanation:

(π)(1.5)(30)= 141.37

141.37 rounded to the nearest tenth is 141.4