. The table shows how many books students
in a class read each week for two months.
Graph the data.
Week 1 2 3
Books
Read
10 9
7
4 5 6
8
7 8
9
67
4
What is the difference between the greatest numb
books read and the least number of books read?

Answer: 3.04

Step-by-step explanation:

3.04

You will pay $2.90 in sales tax in California for a pair of jeans that costs $40.

At the time of sale, a tax known as sales tax is applied to the cost of products or services. The state, county, or city where the transaction occurs determines the tax rate, which is often expressed as a percentage of the purchase price. The vendor is responsible for collecting sales tax and remitting it to the relevant government body. Sales taxes are levied in order to raise money for the government and pay for essential services like infrastructure, healthcare, and education. Because it is based on the quantity of goods or services consumed rather than income or wealth, sales tax is a sort of consumption tax.

Given that, sales tax in California is 7.25%.

Thus,

Sales tax = price of jeans x sales tax rate

Sales tax = $40 x 0.0725

Sales tax = $2.90

Therefore, you will pay $2.90 in sales tax in California for a pair of jeans that costs $40.

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The equation of line perpendicular to y=x-5 passing through (-3,9) is y=-x+6.

Two distinct lines intersecting each other at 90 degrees or at a right angle are called perpendicular lines

To find the equation of a line perpendicular to y = x - 5, we need to first determine the slope of the original line. The slope of a line in slope-intercept form (y = mx + b) is the coefficient of x, so in this case, the slope of the original line is 1.

Since we want to find the equation of a line perpendicular to this line, we need to find the negative reciprocal of the slope, which is -1.

So, the slope of the perpendicular line is -1, and we also know that it passes through the point (-3,9).

We can use the point-slope form of a line to write the equation of the perpendicular line:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope of the line.

Substituting the values we know, we get:

y - 9 = -1(x - (-3))

Simplifying this expression, we get:

y - 9 = -x - 3

Adding 9 to both sides, we get:

y = -x + 6

Therefore, the equation of the line perpendicular to y = x - 5 and passing through the point (-3,9) is:

y = -x + 6

So the answer is option 1: y = -x + 6.

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2.6 *  10⁻⁶  F  is the capacitance.

What is a capacitor short answer?

A capacitor is a component used in electrical circuits to hold charges. The idea behind how a capacitor functions is that when an earthed conductor is moved close to a conductor, its capacitance increases noticeably.

                                      As a result, a capacitor contains two plates with equal and opposing charges that are spaced apart. Two conductors that are near to one another and are isolated from one another make up a capacitor, a device for storing electrical energy. The parallel-plate capacitor is a straightforward illustration of such a storage device.

We have realtion Q=CV  

where Q is charge ,  C is capacitance and V is voltage.

C=Q/V

C=(2500 *  10⁻⁶)/960

C= 2.6 *  10⁻⁶  F

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The completed chart for a one-time investment made in the amount of $9,200 is attached below.

For Annually compounded interest:

A = P (1 + i)ⁿ

A = $9,200 (1 + 0.06)¹⁵

A = $9,200 (1.06)¹⁵

A = $22,048.34

For Semi-Annually compounded interest:

A = P (1 + i)ⁿ

A = $9,200 (1 + 0.03)³⁰

A = $9,200 (1.03)³⁰

A = $21,214.29

For Quarterly compounded interest:

A = P (1 + i)ⁿ

A = $9,200 (1 + 0.015)⁶⁰

A = $9,200 (1.015)⁶⁰

A = $20,947.34

For Monthly compounded interest:

A = P (1 + i)ⁿ

A = $9,200 (1 + 0.005)¹⁸⁰

A = $9,200 (1.005)¹⁸⁰

A = $20,812.09

For Weekly compounded interest:

A = P (1 + i)ⁿ

A = $9,200 (1 + 0.0012)⁷⁸⁰

A = $9,200 (1.0012)⁷⁸⁰

A = $20,756.54

For Daily compounded interest:

A = P (1 + i)ⁿ

A = $9,200 (1 + 0.0002)⁵⁴⁷⁵

A = $9,200 (1.0002)⁵⁴⁷⁵

A = $20,726.55

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Image transcribed:

1. Fill in the chart for the following investment.

A one-time investment is made in the amount of $9,200 for 15 years at an APR of 6%.

Compound Interest: A = P (1 + i)", where A is the final amount, P is the principal invested, i is the interest rate per compounding period, and n is the number of compounding periods.

The expressions, when written as products , would be:

To factor this expression, let's first rearrange the terms:

(81a² - c²) + (6bc - 9b²)

Now, we can see that the first part is a difference of squares, which can be factored as:

(9a - c)(9a + c)

However, the second part (6bc - 9b²) cannot be factored further as a product of binomials. So the expression can be written as:

(9a - c)(9a + c) + 6bc

1 - 25x² + 10xy - y²

This expression remains:

(1 - 5x + y)(1 + 5x + y)

Using the same rule as above.

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Tina and Carl will use 6 and 12 ounces of clay, respectively. Tina uses 3/10 of the 20-ounce bucket and Carl uses 3/5 of the 20-ounce bucket.

To determine how much clay Tina and Carl will use, we need to first find the total amount of clay they will use together.

If 3/10 of the clay is used by Tina and 3/5 of the clay is used by Carl, we can find the total amount of clay used by adding these fractions:

3/10 + 3/5 = (3/10 * 1/2) + (3/5 * 1/2) (we multiply by 1/2 to find the common denominator of 10)

= 3/20 + 6/20

= 9/20

Therefore, Tina and Carl will use a total of 9/20 of the 20-ounce bucket of clay.

To find how much each of them will use, we can multiply the total amount of clay by each person's fraction:

Tina: (3/10) x 20 ounces = 6 ounces

Carl: (3/5) x 20 ounces = 12 ounces

Therefore, Tina will use 6 ounces of clay, while Carl will use 12 ounces of clay.

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Tina and carl share a 20 ounce bucket of clay 3/10 and 3/5, how much of the clay each of them will use?

Step-by-step explanation:

The volume of a rectangular box is given by the formula:

Volume = length x breadth x height

In this case, the length is a, the breadth is 2b, and the height is 3c. So, the volume can be calculated as:

Volume = a x 2b x 3c

= 6abc

Therefore, the volume of the rectangular box with a, 2b and 3c as length, breadth and height respectively is 6abc.

The method of collecting data that was used in the given scenario is voluntary response.

A voluntary response method of data collection is a research technique that allows participants to decide whether or not they want to be included in the sample.

When participants are allowed to choose whether or not to participate, this is known as self-selection.

This method has a disadvantage in that it could lead to bias in the data because those who respond to the survey may not represent the entire population of interest.

In the given scenario, the COC admissions department put a link on their website so that any students that want to try out the program can. The students can then take a survey and say how well they like the new system. This means that the method of collecting data that was used is voluntary response.

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The width of the rectangle is given by the expression 2x² + 5. Then the correct option is D.

Given that:

Area, A(x) = 2x³ + 6x² + 5x + 15

Length, L = x + 3

The formula for the area of a rectangle is:

A = length x width

A(x) = (x + 3) · W

A(x) / (x + 3) = W

W = (2x³ + 6x² + 5x + 15) / (x + 3)

W = [2x²(x + 3) + 5x(x + 3)] / (x + 3)

W = [(2x² + 5)(x + 3)] / (x + 3)

W = 2x² + 5

Therefore, the width of the rectangle is given by the expression 2x² + 5. Then the correct option is D.

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Answer:

We can use the continuous compound interest formula:

A = Pe^(rt)

where A is the final amount, P is the initial amount, r is the interest rate (as a decimal), and t is the time (in years). We can rearrange this formula to solve for t:

t = ln(A/P) / r

where ln is the natural logarithm function.

Using the given values, we have:

P = 920

A = 2310

r = 0.047

So,

t = ln(2310/920) / 0.047

t ≈ 18.8 years

Rounding to the nearest year, it would take about 19 years for the value of the account to reach $2310.

Answer:

19 years

Step-by-step explanation:

The gallons of gas that Aubrey would need to travel 111.54 miles is 7.8 gallons.

In Mathematics, a direct proportion simply refers to a mathematical equation which is typically used to represent the equality of two (2) ratios.

By applying direct proportion to the given information, we have the following mathematical equation:

15 gallons of gasoline = 214.5 miles

X gallons of gasoline = 111.54 miles

By cross-multiplying, we have the following:

214.5x = 15 × 111.54

x = 1,673.1/214.5

x = 7.8 gallons of gasoline.

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Answer:

2x

Step-by-step explanation:

it is x+x or 2x, since if x>=0, the absolute value of x is just x, then we can say that it is x+x without the absolute value symbols. :)

Answer:

B. $50,000

Explanation:

4%=.04

50,000 x .04=2000

48000/12=4000

She makes $4000 off of her salary each month.  Then because she only gets 4% of her commissions you multiply the 50000 by .04 and you get 2000.  So she gets $2000 in commissions and $4000 off of her salary.

By following these steps, you can use the unit circle to define the trigonometric functions of any angle.

Steps: Draw a unit circle,  place the angle, Identify the point of intersection, Define the trigonometric functions.

To use the unit circle to define the trigonometric functions of any angle, follow these steps:
1. Draw a unit circle: This is a circle with a radius of 1, centered at the origin (0, 0) of the coordinate plane.

2. Place the angle: Position the angle in standard position, which means that the initial side (starting side) of the angle is along the positive x-axis and the terminal side (ending side) is formed by rotating the initial side counterclockwise to a certain position.

3. Identify the point of intersection:

Determine the point where the terminal side of the angle intersects the unit circle.

This point will have coordinates (x, y).
4. Define the trigonometric functions:

Using the coordinates (x, y), define the six trigonometric functions as follows:
  - Sine (sin): sin(angle) = y
  - Cosine (cos): cos(angle) = x
  - Tangent (tan): tan(angle) = y/x
  - Cosecant (csc): csc(angle) = 1/y
  - Secant (sec): sec(angle) = 1/x
  - Cotangent (cot): cot(angle) = x/y.

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Answer:

95.2 square yards

Step-by-step explanation:

8(3) + 2(1/2)(3)(7.2) + 2(1/2)(8)(6.2)

= 24 + 21.6 + 49.6 = 95.2 square yards

Thus, the two digits are 9 and 11.

Two-variable equations are algebraic equations that involve two variables, typically x and y, and describe a relationship between them.

Let's call the tens digit "T" and the ones digit "O". Based on the problem, we know that:

T = 2 + O

Then substitute this equation in 10T + O = 10O + T + 27 i.e.

10T + O = 10O + T + 27

10T - T = 10O - O + 27

9T = 9O + 27

9(2 + O) = 8O + 27

9(2 + O) = 8O + 27

18 + 9O = 8O +  27

9O - 8O =  27 - 18

O = 9

Then,

T = 2 + 9

T = 2 + 9

T = 11

Thus, the two digits are 9 and 11.

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Let x be the number of weeks it will take Paul to save enough money to buy the skateboard.

In one week, Paul earns $5, so in x weeks he will earn 5x dollars.

Since he already has $25 saved, the total amount of money he will have after x weeks is:

5x + 25

To be able to buy the skateboard that costs $85, Paul needs to save up an additional:

85 - 25 = 60

Therefore, we can set up the following equation to find the number of weeks it will take Paul to save up enough money:

5x + 25 = 60

Simplifying and solving for x:

5x = 35

x = 7

Therefore, it will take Paul 7 weeks to save up enough money to buy the skateboard.

The equation that describes the number of weeks (w) that it will take Paul to save enough money to buy the skateboard is:

5w + 25 = 85

The area of regular pentagon is 758.7 square in.(rounded to the nearest tenth.)

A pentagon is a specific type of polygon with 5 sides and 5 angles. The word “pentagon” is constructed of two words, namely Penta and Gonia, which defines five angles. So in a simplified way it can be said that pentagon is a polygon having 5 sides.

Here is a regular pentagon with side length 21 in.

Area of regular pentagon (A)= [tex]\frac{1}{4} \sqrt{5(5+2\sqrt{5} )} a^{2}[/tex]

Here a= 21 in

So Area = [tex]\frac{1}{4} \sqrt{5(5+2\sqrt{5} )} (21)^{2}[/tex] square in.

             = [tex]\frac{1}{4} \sqrt{5(5+2\sqrt{5} )} 441[/tex]     "

             ≈758.73053 square in

              = 758.7 square in. ( rounded to the nearest tenth).

Hence the area of regular pentagon is 758.7 square in.

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Answer: We have:

(5i√3)² = (5i)²(√3)² = -25(3) = -75

Therefore, the square of 5i√3 is -75.

Step-by-step explanation:

The square of the complex number of 5i√3 is 75.

A complex number is the sum of a real number and an imaginary number.

To find the square of the complex number, 5i√3, we use the following Steps below

Step1: Square the expression

Step 2: use the law of surd to seperate each of the terms in the expression

Note: In complex number notation,

Therefore,

Hence, square of 5i√3 is 75

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The ratio of false positives to false negatives in this scenario is 3.5.

3.5 is the correct answer. False positives are lightning detector activations when there is no lightning in the area. False negatives are lightning detector not activations when there is lightning in the area. To calculate the ratio of false positives to false negatives, divide the false positives (7%) by the false negatives (2%). 7/2 = 3.5. Therefore, the ratio of false positives to false negatives in this scenario is 3.5.

The ratio of false positives to false negatives in this scenario is 3.5.

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Answer:

i took the test :)

Step-by-step explanation:

3.5

Answer:

37 hours

Step-by-step explanation:

First, we will find the amount of money that Adrienne makes per hour: 98/8, which equals $12.25.

Now, we can find the number of hours it takes to earn $453.25 by dividing it by $12.25:

$453.25 / $12.25 = 37 hours

Answer:37c − 32d

2:7p+3w

Step-by-step explanation:

Answer:

1. c - 5d

2. 7p + 3w

Step-by-step explanation:

1.)

5c - 8d - 4c + 3d =

5c + -8d +-4c + 3d

Combine like terms:

(5c + -4c) +(-8d + 3d) =

c - 5d

2.)

6p - 2w + p + 5w =

6p + -2w + p + 5w

Combine like terms:

(6p + p) + (-2w + 5w) =

7p + 3w

Answer:

Only Z

Step-by-step explanation:

Supplementary angles are angles whose sum up to 180 degrees.

Answer:the answer would be around 300 or 314

if you have 100ft in a circle and divided the space using the equation it what you get .

Step-by-step explanation:

the recommended amount of mulch for the flower bed with a radius of 20 feet and a desired depth of 0.5 feet is approximately 628.3 cubic feet.

The given information about the vertex of the function does not appear to be relevant to the question about mulch for a flower bed. However, we can still solve the problem using the given radius of the flower bed.

The formula to find the recommended amount of mulch for a circular flower bed is:

Mulch = π * r^2 * d

Where r is the radius of the flower bed and d is the desired depth of the mulch.

Assuming a desired depth of 0.5 feet, we can plug in the given radius of 20 feet to the formula:

Mulch = π * (20 feet)^2 * 0.5 feet

Mulch = π * 400 square feet * 0.5 feet

Mulch = 200π cubic feet

To find the approximate value in decimal form, we can use the approximation π ≈ 3.14:

Mulch ≈ 200 * 3.14

Mulch ≈ 628 cubic feet

Rounding to the nearest tenth, we get:

Mulch ≈ 628.3 cubic feet

Therefore, the recommended amount of mulch for the flower bed with a radius of 20 feet and a desired depth of 0.5 feet is approximately 628.3 cubic feet.

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Answer:

1) 3rd one down   1  7/12 ( the one you've selected well doneee)

2)pretty sure its also the 3rd one down ( don't come for me if its wrong)

Step-by-step explanation:

4 1/6 = 25/6

5  3/4= 23/4

25/6   x4=    100/24

23/4  x 6 = 138/24

138/24  - 100/24  = 38/24

divide by 2:

19/12= 1   7/12

Answer:

The solution to the equation is -7

Step-by-step explanation:

I hate these kinds of Questions but it all comes down to how you mathematically interpret it.

Answer: $1820

Step-by-step explanation:

Area = Length*Width

Forst we have to solve for the area.

A = 12 * 12

A = 144 ft^2

Next we have to multiply be the cost per square foot.

144 * 35

= $5040

Solve for the area.

A = 14 * 14

A = 196 ft^2

Multiply by the cost per square foot.

196 * 35

= $6860

Lastly subtract both costs:

6860 - 5040 = 1820

Therefore the difference in cost would be $1820.

Hope this helps :)