I don’t really understand I think it’s distance formula but I got it wrong pls help

If Danny wants to buy the new sci-fi book for $15.75. Some of the books were signed by the author, and those cost an additional 60%. Then  new selling price for a signed sci-fi book is $25.52

Percentage, a relative value indicating hundredth parts of any quantity.

Given,

Danny wants to buy the new sci-fi book for $15.75.

Some of the books were signed by the author, and those cost an additional 60%

We need to calculate 60% of 15.75

Change 60% to decimal value by dividing with 100

60/100=0.6

Now multiply 0.6 with 15.75 to find 60% of 15.75

0.6×15.75

9.45

So 9.45 is the cost of books.

Add 15.75 with 60% amount

$15.75+$9.45

$25.52

Hence the new selling price for a signed sci-fi book is $25.52

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By using the concept of percentage, the equation which is equivalent to  60% of 25 is \(0.6 \times 25 = x\)

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example 2% means \(\frac{2}{100}\). Here 2 is expressed as a fraction of 100.

Here,

Using concept of percentage.

Let 60% of 25

\(\frac{60}{100}\times 25 = x\\0.6 \times 25 = x\)

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The value of x in the triangle is 10 units

From the question, we have the following parameters that can be used in our computation:

The triangle

On the triangle, we have the following equivalent ratio

x : 15 = 4 : 6

Express as fraction

So, we have

x/15 = 4/6

This gives

x = 15 * 4/6

Evaluate

x = 10

Hence, the value of x is 10

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Answer:

What would you like to know?

Step-by-step explanation:

The perimeter is 28 yds

The area is 24 yds

Answer:

The perimeter is 28 yds

The area is 24 yds

Step-by-step explanation:

The Maclaurin series for f(x) converges absolutely for x within the interval (-2/3, 2/3).

To find the Maclaurin series for the function f(x) = (3cos(x))ln(1+x), we can use the standard formulas for the Maclaurin series expansion of elementary functions.

First, let's find the derivatives of f(x) up to the third order:

f(x) = (3cos(x))ln(1+x)

f'(x) = -3sin(x)ln(1+x) + (3cos(x))/(1+x)

f''(x) = -3cos(x)ln(1+x) - (6sin(x))/(1+x) + (3sin(x))/(1+x)² - (3cos(x))/(1+x)²

f'''(x) = 3sin(x)ln(1+x) - (9cos(x))/(1+x) + (18sin(x))/(1+x)² - (12sin(x))/(1+x)³ + (12cos(x))/(1+x)² - (3cos(x))/(1+x)³

Next, we evaluate these derivatives at x = 0 to find the coefficients of the Maclaurin series:

f(0) = (3cos(0))ln(1+0) = 0

f'(0) = -3sin(0)ln(1+0) + (3cos(0))/(1+0) = 3

f''(0) = -3cos(0)ln(1+0) - (6sin(0))/(1+0) + (3sin(0))/(1+0)² - (3cos(0))/(1+0)² = -3

f'''(0) = 3sin(0)ln(1+0) - (9cos(0))/(1+0) + (18sin(0))/(1+0)² - (12sin(0))/(1+0)³ + (12cos(0))/(1+0)² - (3cos(0))/(1+0)³ = -9

Now we can write the first three nonzero terms of the Maclaurin series:

f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ...

f(x) = 0 + 3x - (3/2)x² - (9/6)x³ + ...

Simplifying, we have:

f(x) = 3x - (3/2)x² - (3/2)x³ + ...

To determine the values of x for which the series converges absolutely, we need to find the interval of convergence. In this case, we can use the ratio test:

Let aₙ be the nth term of the series.

|r| = lim(n->infinity) |a_(n+1)/aₙ|

= lim(n->infinity) |(3/2)(xⁿ+1)/(xⁿ)|

= lim(n->infinity) |(3/2)x|

For the series to converge absolutely, we need |r| < 1:

|(3/2)x| < 1

|x| < 2/3

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The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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Answer:

(-2, -4)

Step-by-step explanation:

Given the coordinate (x, y), if rotated 90degrees, counterclockwise, the resulting coordinate will be (-y, x)

For the coordinate (-4, 2)

When rotated 0 degrees  counterclockwise, the resulting coordinate will be at (-2, -4)

Note that the coordinates were switched and the x negated

Answer: 8 hundred thousands

Answer:

The value is 800,000

Step-by-step explanation

the 2 is in the thousands spot so that would make the 4 in the ten thousands and the 8 in the hundred thousands.

Hope this help:)

Sonny get 240=240 because  the cross products of the proportion are equal.

Proportion : Two ratios are said to be in proportion when the two ratios are equal.

For Example , If Smith walks 5 km in 1 hour then he will walk 25 km in 5 hours. denoted by

\(\frac{5}{1} =\frac{25}{5} \\ \\ 5=5\).

According to the given question the equation can be written as

\(\frac{16}{x} =\frac{48}{15}\)

Sonny substituted 5 for x in the proportion , the equation can be written as

\(\frac{16}{5} =\frac{48}{15} \\ \\ Doing .the .cross.product\\ \\ 16*15=48*5\\ \\ 240=240\)

Therefore , Sonny get 240=240 because  the cross products of the proportion are equal.

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The height of plant B growing at a rate of 3.33 centimeters per week should have a height of 19.98 cms.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

First we need two points (x, y) to obtain the slope.

Assuming height to be 'y' and weeks to be 'x'.

Therefore, (0, 0) and (3, 10) are the two points.

Slope(m) = (10 0)/(3 - 0).

Slope(m) = 10/3.

Slope(m) = 3.33

Now, To obtain the y-intercept.

10 = 3(3.33) + b

b = 0.01 Or neglegible.

Therefore y = 3.3x.

Now, In the 6th week, the height of plant B will be,

y = 3.33(6).

y = 19.98 or 20 cm.

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Part 1

\(m=\frac{-7-(-5)}{8-0}=\boxed{-\frac{1}{4}}\)

Part 2

\(y=-\frac{1}{4}x-5\)

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

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Angles p and q are complementary, which means that their sum is equal to 90 degrees. Let's assume the size of angle q is x degrees. Since p is four times the size of q, we can write the equation p = 4q.

To find the size of q, we need to substitute the value of p in terms of q into the equation for the sum of the angles: p + q = 90.

Substituting 4q for p, we get:

4q + q = 90

Combining like terms:

5q = 90

To solve for q, we divide both sides of the equation by 5:

q = 90/5

Simplifying:

q = 18

Therefore, the size of angle q is 18 degrees.

when angles p and q are complementary and p is four times the size of q, the size of angle q is 18 degrees.

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\(\frac{6}{32} x \frac{100}{1} =0.1875 x 100= 18.75%\)given:

Snack type                        number

of items sold

fruit cup                            8

veggie sticks                    6

chips                                14

water                                4

Total number of items sold = 32

To find  the percentage of each snack type, use the formula below:

\(\frac{number of each snack type}{ total sold} x \frac{100}{1}\)

a) Percentage for fruit cup:

\(\frac{8}{32} x \frac{100}{1} =0.25 x 100 =25%\)%

b) percentage of veggie sticks:

\(\frac{6}{32} x \frac{100}{1} =0.1875 x 100=18.75 %\)%

c) percentage of chips:

\(\frac{14}{32} x \frac{100}{1} = 0.4375 x 100= 43.75%\)%

d) percentage of water:

\(\frac{4}{32} x \frac{100}{1 } = 0.125 x 100=12.5\)%

Answer:

Percentage of fruit cup = 25%

Percentage of veggie sticks= 18.75%

Percentage of chips= 43.75%

Percentage of water= 12.5%

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Answer:

  12 and 14

Step-by-step explanation:

You want two consecutive even integers such that the lesser is five more than half the greater.

Let x represent the lesser of the integers. Then x+2 is the greater, and we can write the given relation as ...

  x = (x+2)/2 +5 . . . . . lesser is 5 more than half the greater

Multiplying by 2 gives ...

  2x = x +2 +10

  x = 12 . . . . . . . . subtract x

  x+2 = 14

The two integers are 12 and 14.

Answer:

< F , < E, < D

Step-by-step explanation:

ΔDEF

Arrange the sides from smallest to largest

DE = 4, FD = 13, and EF = 15.

Largest side opposes the largest angle, medium side opposes the medium angle, smallest side opposes  the smallest angle.

the angles of ΔDEF in order from smallest to largest

< F , < E, < D

If "18 cm" represents the radius of the sphere, the surface area is approximately 1296π cm^2 and the volume is approximately 24,192π cm^3.

To calculate the surface area and volume of a sphere, we need to know the radius. However, the given information only mentions "18 cm" without specifying whether it is the radius or diameter of the sphere.

If "18 cm" refers to the radius, we can proceed with the calculations as follows:

Given:

Radius (r) = 18 cm

Surface Area of a Sphere:

The surface area (A) of a sphere is given by the formula: A = 4πr^2.

Substituting the value of the radius, we have:

A = 4π(18 cm)^2

Calculating the surface area:

A = 4π(324 cm^2)

A ≈ 1296π cm^2

Volume of a Sphere:

The volume (V) of a sphere is given by the formula: V = (4/3)πr^3.

Substituting the value of the radius, we have:

V = (4/3)π(18 cm)^3

Calculating the volume:

V = (4/3)π(5832 cm^3)

V ≈ 24,192π cm^3

Therefore, if "18 cm" represents the radius of the sphere, the surface area is approximately 1296π cm^2 and the volume is approximately 24,192π cm^3.

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Answer:

nineteen

Step-by-step explanation:

ty for the points luv

The value of a, b, and c are 0, 6, and 12 if the table represents the proportional relationship.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have a 2-column table with 5 rows. Column 1 is labeled Number of Apples with entries 0, 1, 2, 3, 4. Column 2 is labeled Number of Slices with entries a, b, c, 18, 24.

As we know in the proportional relationship one variable is directly proportional to the other variable.

The value of cnstant of proportinality = 24/4 = 18/3 = 6

The value of a:

a = 0

b = 6×1 =6

c = 6×2 = 12

Thus, the value of a, b, and c are 0, 6, and 12 if the table represents the proportional relationship.

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No, the line passing through  (-4, 26) and (-2, 0) is  not parallel to line passing through (10, 18) and (5, 3) because slopes of both lines are different.

Line is possible in 2-d forms so, it has only x and y-co-ordinates. Z-co-ordinates is not possible.

We know very well that to prove any two lines are parallel to each other we need to prove only whether their slopes are equal or not.

Now, talking about the slopes we know that if any line is passing from point(x₁,y₁) and again passing from other point(x₂,y₂) then slope(m) of that line is given by the formula=(y₂-y₁) / (x₂-x₁)

So, for first line we have (x₁, y₁)=(-4,26)

and (x₂, y₂)=(-2,0)

So, slope(m₁) of first line is =(0-26)/(-2 - (-4))

                  =>m₁ = -26/2

                   =>m₁ = -13     ----(eq1)

Similarly, for second line, we have (x₁, y₁)=(10,18)

and (x₂, y₂)=(5,3)

So, slope(m₂) of second line is =(3-18) / (5-10)

                =>m₂ = -15/-5

                 =>m₂=     3   -------(eq2)

On comparing eq1 and eq2,we get

 =>m₁≠m₂.

Hence, the given lines are not parallel.

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(Complete question) is:

Is the line through (-4, 26) and (-2, 0) parallel to the line through (10, 18) and (5, 3)?

In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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The amount of radioactive material in the sample at the beginning of the 7th day would be = 3.9mg

A radioactive material is the type of material that contains unstable nucleus that undergoes nuclear fission reaction to give off energy.

The half life of radioactive materials means that half of the radioactive material would be lost after a particular time.

From the question;

Half life of radioactive material = 1 day

That is the remaining substance = 500/2 = 250mg

Second day = 250/2 = 125mg

Third day = 125/2 = 62.5mg

fourth day = 31.5mg

Fifth day = 15.6mg

sixth day = 7.8mg

seventh day = 3.9mg

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We can use the formula for radioactive decay:

N = N0 (1/2)^(t/T)

where N is the amount of radioactive material at a given time, N0 is the initial amount of radioactive material, t is the time elapsed, and T is the half life.

In this case, we are looking for the amount of radioactive material at the beginning of the 7th day, which is 6 days after the initial sample was taken.

We can plug in the given values:

N = N0 (1/2)^(t/T)

N = 500 mg (1/2)^(6/1)

N = 500 mg (1/64)

N = 7.81 mg

Therefore, the amount of radioactive material in the sample at the beginning of the 7th day is 7.81 mg.

Hope this helps you

Answer:

The answer is c. 81.76%

The width of the freezer is 2.25ft

The formula for calculating the volume of rectangular prism is expressed as:

V = lwh

Given the following

length l = 8feet

w is the width

height h = 3feet

Substitute

54 = 8*3w

54 = 24w

w = 54/24

w = 2.25ft

Hence the width of the freezer is 2.25ft

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(a) The brightness of the three bulbs in a series circuit is the same. The reason for this is that a series circuit is designed to have the same amount of electric current flow through each component in the circuit. When the electric current flows through each component in the circuit, it transfers electrical energy to light energy which makes the bulbs light up. Since the same amount of electric current flows through each bulb in a series circuit, they have the same brightness.

(b) When bulb A is unscrewed and removed from its socket, the brightness of bulbs B and C will decrease. The reason for this is that bulb A acts as a resistor in the series circuit. When bulb A is unscrewed and removed from its socket, the electrical resistance of the circuit decreases which leads to an increase in electric current flowing through the circuit. As a result, more electric current flows through bulbs B and C, causing them to become brighter. However, if the resistance of bulb A is too high, the circuit may become open, meaning that there is no current flow and none of the bulbs will light up.

(c) When bulb A is unscrewed, the electrical resistance of the circuit decreases which leads to an increase in electric current flowing through the circuit. As a result, more electric current flows through points 3, 4, and 5. Since the same amount of electric current flows through each component in the circuit, the increase in electric current flowing through points 3, 4, and 5 will be the same.

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Bicycle is the preferred transportation for 50 residents:

FALSE (8% of 500 = 40 residents)

From the circle graph, we can draw the following conclusions:

Streetcar is the preferred transportation for 30 residents: FALSE (15% of 500 = 75 residents)

Bicycle is the preferred transportation for 50 residents:

FALSE (8% of 500 = 40 residents)

Together, Walking and Bus are the preferred transportation for 250 residents: TRUE (40% + 10% = 50%, 50% of 500 = 250 residents)

Together, Cable Car and Streetcar are the preferred transportation for 42 residents: FALSE (27% + 15% = 42%, 42% of 500 = 210 residents)

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The probability of a randomly selected person from this group visiting a physical therapist is 0.68.

The probability is the extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible. Let A denote the event that the person visits a physical therapist, and let B denote the event that the person visits a chiropractor. Now, we need to use the laws of probability to arrive at each individual probability i.e. P(A) and P(B).

Given: P(A∩B)=0.28

(ii) P(AC∩BC)=0.08

(iii) P(A)−P(B)=0.16

Required: P(A)

By the laws of inclusion/exclusion,

P(A∪B)=P(A)+P(B)−P(A∩B)

Therefore,

P(A)+P(B)=P(A∩B)+P(A∪B)

By DeMorgan's Law,

P(AC∩BC)=1−P(A∪B)

Therefore,

P(A)+P(B)=0.28+1−0.08=1.2

By adding the equation,

P(A)−P(B)=0.16

we get

2P(A)=1.36

Therefore, P(A)=0.68

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On the interval [0, 2π], the minimum values of f(x) = 12cos^2(x) - 1 are -1, and the maximum values are 11.

To find the minimum and maximum values of the function f(x) = 12cos^2(x) - 1 on the interval [0, 2π], we need to determine the critical points and endpoints within that interval.

First, let's differentiate the function f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -24cos(x)sin(x).

Next, we set f'(x) equal to zero and solve for x:

-24cos(x)sin(x) = 0

This equation is satisfied when cos(x) = 0 or sin(x) = 0.

For cos(x) = 0, we have x = π/2 and x = 3π/2 as critical points.

For sin(x) = 0, we have x = 0 and x = π as critical points.

Now, we evaluate the function f(x) at these critical points and the endpoints of the interval [0, 2π]:

f(0) = 12cos^2(0) - 1 = 11

f(π/2) = 12cos^2(π/2) - 1 = -1

f(π) = 12cos^2(π) - 1 = 11

f(3π/2) = 12cos^2(3π/2) - 1 = -1

f(2π) = 12cos^2(2π) - 1 = 11

From the evaluations, we see that the minimum values of f(x) are -1, occurring at x = π/2 and x = 3π/2, while the maximum values are 11, occurring at x = 0, x = π, and x = 2π.

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