ANYONE PLEASE HELP ME

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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Tasheena's grade percentage in the class so far is approximately 71.00935%.

The percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

To compute Tasheena's grade percentage in the class so far, we can calculate the weighted average of her scores based on the weightage of each component of the final grade.

Given:

Quizzes: 15% weightage

Exams: 55% weightage

Projects: 25% weightage

Attendance: 5% weightage

Tasheena's scores:

Quizzes: 117 out of 150 points

Exams: 74, 86, and 91 on the first three exams (each worth 100 points)

Projects: 29 out of 25 possible points

Attendance: Perfect attendance

Let's calculate Tasheena's grade percentage:

Quizzes:

Tasheena's quiz score percentage = (117 / 150) * 100 = 78%

Exams:

Tasheena's exam average = (74 + 86 + 91) / 3 = 83.67

Tasheena's exam score percentage = (83.67 / 100) * 55 = 46.017%

Projects:

Tasheena's project score percentage = (29 / 25) * 100 = 116%

Attendance:

Tasheena's attendance score percentage = 100% (since she had perfect attendance)

Now, let's calculate the weighted average of Tasheena's scores:

Weighted average = (Quizzes weightage * Quiz score percentage) + (Exams weightage * Exam score percentage) + (Projects weightage * Project score percentage) + (Attendance weightage * Attendance score percentage)

= (15% * 78%) + (55% * 46.017%) + (25% * 116%) + (5% * 100%)

= 11.7% + 25.30935% + 29% + 5%

= 71.00935%

Hence, Tasheena's grade percentage in the class so far is approximately 71.00935%.

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Answer:

x = 2 or x = 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 3/4 ÷ 4 1/8

23/4×8/41

23×8/4×41

46/41

=1.122

So the answer is 1.122

The solution after divide 2 3/4 by 4 1/8 in fraction form is,

⇒ 2/3

We have to given that,

To divide 2 3/4 by 4 1/8.

Simplify it as,

2 3/4 ÷ 4 1/8

11/4 ÷ 33/8

11/4 x 8/33

(11 x 8) / (4x33)

2/3

Therefore, The solution after divide 2 3/4 by 4 1/8 in fraction form is,

⇒ 2/3

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Answer:

\(x + y = 1042\)

\(1.5x + 0.75y = 1140\)

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of regular fares paid.

y is the number of reduced fares paid.

1,042 total fares were paid

This means that \(x + y = 1042\)

A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75.

This means that:

\(1.5x + 0.75y = 1140\)

System of equations:

The system of equations is:

\(x + y = 1042\)

\(1.5x + 0.75y = 1140\)

9514 1404 393

Answer:

  (p, h) = (32, 11)

Step-by-step explanation:

We can write an expression for p using the first equation, then substitute that into the second equation.

  4.5(43-h) +12h = 276 . . . . substitute for p

  193.5 +7.5h = 276 . . . . . . eliminate parentheses

  7.5h = 82.5 . . . . . . . . . . . . subtract 193.5

  h = 82.5/7.5 = 11 . . . . . . . . divide by the coefficient of h

  p = 43 -11 = 32

The solution is (p, h) = (32, 11).

Answer:

A

Step-by-step explanation:

22:32

when you get it into the decimal form the value is greater than the value of 11/16

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Answer:

3/4

Step-by-step explanation:

divide both numerator and denominator by 5 15/20 = 3/4

Answer:

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

This data collection may be characterized as numerical and univariate.

A numerical univariate data is discrete if the totality of all possible values is finite or countably infinite. Usually, counting is done using discrete univariate data (such as the number of books read by a person). A numerical univariate data is continuous if the range of all possible values is a set of integers.

Different categories of data that can be categorized are represented by categorical variables. Examples of categorical variables are race, sex, age group, and educational attainment.

Categorical data are data kinds that can be stored and identified depending on the names or labels given to them.

Data that is expressed as numbers rather than in any linguistic or descriptive form is referred to as numerical data. As it validates data before classification, it is also known as qualitative data.

Over here we have the data for the average time spent reading per day for students in an 8th grade class.

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The Question attached here is Complete. The Complete Question is

The chart shows the average time spent reading per day for students in an 8th grade class.

The line plot is titled minutes of reading per day, and the horizontal axis is labeled minutes of reading per day. There are 5 dots at 30, 1 dot at 33, 5 dots at 35, 1 dot at 36, 1 dot at 37, 3 dots at 40, 1 dot at 44, one dot at 46, 1 dot at 47, and 1 dot at 50.

Which of the following describes this data set?

Categorical and bivariate

Categorical and univariate

Numerical and bivariate

Numerical and univariate

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

A. To represent the number of grams present after n hours, we can use the equation:

N(n) = 15 × (1 - 0.2)^n

Where:

N(n) is the number of grams present after n hours,

15 is the initial amount of the substance in grams,

0.2 represents the decay rate of 20% per hour, and

^n represents the exponentiation operation.

B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:

N(24) = 15 × (1 - 0.2)^24

Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.

C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:

1 = 15 × (1 - 0.2)^n

To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:

log(0.8)(1/15) = n

Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.

Therefore, the answers are:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

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Answer:

24

Step-by-step explanation:

i dont know if its correct

Answer:

23 + 14

Step-by-step explanation:

Its equivalent.

Answer: step by step

Step-by-step explanation:

not totally sure what you're asking but in this equation p=2

3)yes, the lines are parallel

Explanation

To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal

Step 1

check the slopes

when you have a equation of a line in the form

hence, for line 1

now, for line 2

Finally, compare the slopes

the slopes are equal so the lines are parallel

I hope this helps you

The surface area and volume of the second cylinder are given in square millimeters and cubic millimeters, V =

The given dimensions for cylinders are:

r = 1.75 in, h = 2.2 in Surface Area of Cylinder:

S = 2πr² + 2πrh

The surface area formula of a cylinder is  S = (2 * pi * \(r^2\)) + (2 * pi * r * h).

S = (2 * 3.14 * 1.75²) + (2 * 3.14 * 1.75 * 2.2)

= 44.33 + 38.49

= 82.82 square inches.

Volume of Cylinder: V = πr²h

The formula to calculate the volume of a cylinder is given by V = pi * \(r^2\) * h.

Volume = 3.14 * 1.75² * 2.2 = 20.28 cubic inches.

Volume = π(1.75)²(2.2)

Volume ≈ π(3.0625)(2.2)

Volume ≈ 6.7375π cubic inches

The given dimensions for cylinders are: d = 4.3 mm, h = 2 mm

Surface Area of Cylinder: S = 2πr² + 2πrhS = (2 * 3.14 * 2.15²) + (2 * 3.14 * 2.15 * 2) = 67.65 square millimeters.

Volume of Cylinder: V = πr²hV = 3.14 * 2.15² * 2 = 28.33 cubic millimeters.

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Answer:

hopefully this helps :] 16th line down I think

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

(X,Y)=(-55/2,-38

Answer:

The slope of the line will be 3.33

Answer:

20/6

Step-by-step explanation:

To find slope, use  \(m= \frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

(-8, – 15), (-2, 5)

x1       y1    x2   y2

*Remember, negative times negative equals positive*

\(\frac{5-(-15)}{-2-(-8)}\) = \(\frac{20}{6}\)

Hope this helps!

Answer:

  a) 64 ft

  b) 4 seconds

Step-by-step explanation:

You want the height and flight time of a rocket whose height as a function of time is described by f(x)=-16x²+64x.

The graph produced by a graphing calculator shows the maximum height of the rocket is 64 feet.

The same graph shows the height becomes zero after 4 seconds of flight time.

In linear algebra, the kernel of a linear transformation is the set of all vectors that map to the zero vector in the codomain. It is also known as the null space of the transformation.

(a) Range: The range of T is the set of all possible outputs of T, which is the set of all 2-dimensional vectors where the first and second components can be any real number. Therefore, the range of T is R².

Kernel: The kernel of T is the set of all vectors in the domain of T that get mapped to the zero vector in the codomain. In this case, T(v₁, v₂) = (v₂, v₁) = (0, 0) if and only if v₁ = v₂ = 0. Therefore, the kernel of T is {(0, 0)}.

(b) Range: The range of T is the set of all possible outputs of T, which is the set of all 2-dimensional vectors where the third component is zero. Therefore, the range of T is the x-y plane in R³.

Kernel: The kernel of T is the set of all vectors in the domain of T that get mapped to the zero vector in the codomain. In this case, T(v₁, v₂, v₃) = (v₁, v₂) = (0, 0) if and only if v₁ = v₂ = 0. Therefore, the kernel of T is the set of all vectors of the form (0, 0, v₃), where v₃ can be any real number.

(c) Range: The range of T is the set of all possible outputs of T, which is the singleton set {(0, 0)}.

Kernel: The kernel of T is the set of all vectors in the domain of T that get mapped to the zero vector in the codomain. In this case, T(v₁, v₂) = (0, 0) if and only if v₁ and v₂ are arbitrary real numbers. Therefore, the kernel of T is the entire plane in R².

(d) Range: The range of T is the set of all possible outputs of T, which is the set of all 2-dimensional vectors where the second component is the same as the first component. Therefore, the range of T is the line in R² that passes through the origin and has slope 1.

Kernel: The kernel of T is the set of all vectors in the domain of T that get mapped to the zero vector in the codomain. In this case, T(v₁, v₂) = (v₁, v₁) = (0, 0) if and only if v₁ = 0. Therefore, the kernel of T is the y-axis in R².

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The difference between the circumference of the circle and the perimeter of the triangle is 28.2 units. (Option B)

To find the length of each side of triangle, the distance is calculated between the vertices using the formula:

d = √((x2 – x1)^2 + (y2 – y1)^2)

Hence,

AB =√((-4 – 0)^2 + (9 – 0)^2) = 9.85 units

AC = √((9 – 0)^2 + (4 – 0)^2) = 9.85 units

BC = √((9 – (-4))^2 + (4 –9)^2) = 13.93 units

Hence, the perimeter of the triangle = 9.85 + 9.85 + 13.93 = 33.6 units

As AB and AC is the radius of the circle, the circumference of the circle is:

C = 2πr = 2π(9.85) = 61.8 units.

Hence, the difference between the circumference of the circle and the perimeter of the triangle = 61.8 – 33.6 = 28.2 units.

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The solution to probability problem is the expected value for a person that buys one ticket is -$2.32

Probability is a measure of the likelihood or chance that a specific event will occur, expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.

According to the given information:

To find the expected value, you need to multiply each possible outcome by its probability and then add them together.

In this case, there are two possible outcomes: either the person wins the laptop computer (with a probability 1/1500), or they don't win anything (with a probability 1499/1500).

So, the expected value can be calculated as:

E(x) = (1/1500)($1000) + (1499/1500)(-$3)

E(x) = $0.67 - $2.99

E(x) = -$2.32

So the expected value for a person that buys one ticket is -$2.32.

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By using the facts given, 60.5 cm is 0.605 m or 0.605 meters.

Given: Convert 60.5 cm to meters

And the facts are as follows:

1000 milli-meters (mm) - 1 meter (m)

100 centimeters (cm) - 1 meter (m)

10 decimeters (dm) - 1 meter (m)

1 deka-meter (dam) -10 meters (m)

1 hectometer (hm) - 100 meters (m)

1 kilometer (km) - 1000 meters (m)

What is the length?

Length is the measurement of something from one point to another point.

Length can also be the distance between two points.

The shortest length between two times is known as displacement.

There are different ways to measure the length between two points or objects.

The SI unit of length is metered (m)

Also, kilometers or miles are used to measure large distances.

How to convert from centimeters (cm) to meters (m)?

1 meter or 1 m is equivalent to 100 centimeters or 100 cm. So let us apply the unitary method.

100 cm = 1 m

So 1 cm = 1 / 100 m

Therefore, x cm will be x / 100 m

Let’s solve the problem.

Given 60.5 cm to show in meters

So 100 cm = 1 m

1 cm = 1 / 100 m

60.5 cm = 60.5 / 100 m

60.5 cm = 0.605 m

Hence by using the facts given 60.5 cm is 0.605 m or 0.605 meters.

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The width of the cooling tower at the base of the structure is 40 meters.

Given equation

x²/400 -(y-90)²/1600=1

Solving for the width

Cooling tower width =2√400

Cooling tower width=2×20

Cooling tower width=40 meters

Therefore the correct option is D. 40 meters.

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Answer:

40

Step-by-step explanation:

Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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