august is going to sell some items at a car boot sale. She has a rectangular table which measures 0.45m by 1.8m. The company running the sale want to know the area of the table. What is the area of Augusts table?

the correct option is A. 333 cm (tiny 3).

Radius is a term used in geometry to refer to the distance from the center of a circle, sphere, or other curved shape to its edge or surface. It is a key measurement used to calculate the area, circumference, volume, and surface area of these shapes. The radius is often represented by the symbol "r" and can be calculated using various formulas depending on the shape in question. In general, the radius is half the diameter of a circle or sphere, which is the distance across the shape through its center.

Given by the question.

The formula for the volume of a sphere is V = (4/3)π\(r^{3}\), where r is the radius of the sphere. Since the diameter of the sphere is given, we can find the radius by dividing it by 2:

radius = diameter/2 = 8.6 cm/2 = 4.3 cm

Now we can plug this value into the volume. and solve for V:

V = (4/3)π\((4.3cm)^{3}\)≈ 333.06 \(cm^{3}\)

To the nearest whole, the volume is approximately 333. \(cm^{3}\).

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Answer:

which graph best represents y = -x2 + 6x - 1?

Step-by-step explanation:

hich is the graph of the linear function that is represented by the equation y= 1/2x-2 ?

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  ( 3 , 8 )

Focus:  ( 3 , 31 /4 )

Axis of Symmetry:  x = 3

Directrix:  y = 33/4

x                      y

1                      4

2                     7

3                     8

4                     7

5                     4

Step-by-step explanation:

Below is a picture of the graph

Answer: p=50 h=2

Step-by-step explanation:

so its 50 x 2=100 is the answer then u add 3

The correct stem-and-leaf plot for the data is:

i. Stem: 5,6,7,8,9 Leaf: 3, , 5 7 8 9, 1 2 4 9, 1

This plot shows the distribution of the data values, with the stems representing the tens place and the leaves representing the ones place. For example, the value 53 is represented by the stem 5 and the leaf 3, and the value 82 is represented by the stem 8 and the leaf 2.

The other three stem-and-leaf plots are incorrect because they do not accurately represent the distribution of the data.

A stem-and-leaf plot is a graphical representation of data that shows the distribution of values. The stems represent the tens place and the leaves represent the ones place. It is useful for identifying patterns and trends in the data.

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Answer:

Givens

AB + BC = AC

AB = 2(x + 1)

BC = 3x + 1

AC = 4(x + 2)

Substitute and Solve

AB + BC = AC

2(x + 1) + 3x + 1 = 4(x + 2)     Remove the brackets on the left

2x + 2 + 3x + 1 = 4(x + 2)      Collect the like terms on the left

5x + 3  = 4(x + 2)                  Remove the brackets on the right.

5x + 3 = 4x + 8                     Subtract 4x from both sides.

5x - 4x + 3 = 8            

x + 3 = 8                               Subtract 3 from both sides

x =8 - 3

x = 5

Answers

AB=2(5 + 1) = 2 * 6 = 12

BC = 3x + 1 = 3*5 + 1 = 15 + 1 = 16

AC = 4(5 + 2) = 4*7 = 28

Step-by-step explanation:

Answer:

7.10 I think its 7.10

Answer:

1hour 15

Step-by-step explanation:

The glider begins its flight a mile above the ground.

Distance above the ground after 45 minutes =

Change in height of the glider

Next, we determine how long the entire descent last.

Expressing the distance moved as a ratio of time taken

Therefore: Total Time taken =45+30=75 Minutes

=1 hour 15 Minutes

The values obtained from the data in the table are as follows;

a) The percentage of boys that regularly drink Water is 32.8%

b) The proportion of students that were Girls ≈ 0.43

c) The marginal frequency for Lemonade ≈ 74

d) The joint frequency for Girls  who regularly drink Lemonade = 32

e) The joint relative frequency for Boys who regularly drink Soda ≈ 0.21

f) The marginal relative frequency for Girls ≈ 0.43

A two-way table provides the values of the frequencies for two variables, such that one category of variables are presented using the rows and the other category of variables are presented along the columns.

a) The total number of boys = 45 + 50 + 42 = 137

The number of boys that regularly drink water = 45

The percentage of boys that regularly drink water is therefore;

\(Percentage = \dfrac{45}{137} \times 100 \approx 32.8\%\)

b) The total number of students = 77 + 88 + 74 = 239

The number of girls = 32 + 38 + 32 = 102

The proportion of students that were girls is therefore;

\(\dfrac{102}{239} \approx 0.43\)

c) The marginal frequency for Lemonade which is the row total for Lemonade is 74

d) The joint frequency for Girls who regularly drink Lemonade from the table is 32

e) The joint relative frequency for the Boys who regularly drink Soda is found using the equation;

\(JRF = \dfrac{50}{239} \approx 0.21\)

f) The marginal relative frequency for the girls is given by the equation;

\(MRF = \dfrac{102}{239} \approx 0.43\)

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Answer 1:

1.23456789 × (10-6) = 4.93827156

Answer 2:

(1.23456789 × 10) - 6 = 6.3456789

Answer 3:

1.23456789 × \(10^{-6}\) = 0.000000123456789

Hope this helped! :)

Answer:

brown

Step-by-step explanation:

it might be brown because it compelled

Answer:

the number of hours in a week Jope, who is not at work, is 102 hours

Step-by-step explanation:

call X is the number of hours in a week Jope is not at work​.

=> the number of hours in a week = X + the number of work hours in a week

=> 6*24 = X + 42

=> X = 6*24 - 42

=> X = 102 hours

Answer:

1 3/5 boxes

Step-by-step explanation:

There are 5 1/2-3 9/10 boxes left over. We need to simplify this expression.

First, convert both fractions to improper fractions:

11/2-39/10

Now, convert both fractions to have a common denominator of 10:

11/2*5/5 (note we can only do this because any number over itself is equivalent to 1, so technically this is multiplying the number by 1)

55/10-39/10=16/10

Convert it back into a mixed fraction:

1 6/10=1 3/5 boxes

Answer:

1 3/5 boxes

Step-by-step explanation:

5 1/2=5 5/10

leftover=5 5/10-3 9/10=1 6/10=1 3/5

make sure to take 1 from 5

1=10/10

and add it to 5/10 since cant' take away 9/10

Answer:

  4 minutes

Step-by-step explanation:

You want to know how long it takes to drain a cylindrical tank 1.8 ft in diameter and 3 ft long at the rate of 1.7 ft³/minute. (π = 3.14)

The volume of a cylinder can be found using the formula ...

  V = (π/4)d²h . . . . . . . diameter d, height h

Then the volume of the oil tank is ...

  V = 3.14/4(1.8 ft)²(3 fft) = 7.6302 ft³

The time it takes to empty the tank is found by dividing the volume by the rate:

  (7.6302 ft³)/(1.7 ft³/min) ≈ 4.49 min ≈ 4 min

It will take about 4 minutes to empty the tank.

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Answer:

range of g(x):  (- ∞, 0)

Step-by-step explanation:

In the absolute value function, the value of a determines whether the graph opens up or down, as well as the wideness or narrowness of the graph. A positive value for a implies that the graph opens up, and is narrower than the parent function, f(x) = |x|.

Given that a < 0 for the function, g(x) = a|x|, then it means that it is a downward-facing parabola, and its maximum point is the vertex. This implies that the y-values will be 0 at most.

Therefore, the range of the function, g(x) is (- ∞, 0).

Answer:

f(5.6) = 2.6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = [x - 3]

f(5.6) is x = 5.6

Step 2: Evaluate

The vertex is a maximum if the leading coefficient is negative and it is a minumum, if leading coefficient is positive

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

The required details are not given

So, I will provide a general explanation

A parabola is represented as

y = a(x - h)² + k

Where

a ≠ 0 and vertex = (h, k)

The required conditions are:

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Slope intercept form is given by:

y = mx + b

where:

m = slope

b = y-axis intercept

Let's find the slope m using the following formula:

m = (y2 - y1)/(x2-x1)

Where:

(x1,y1) = (9,2)

(x2,y2) = (-3, -2)

m = (-2 - 2)/(-3 - 9) = -4/-12 = 1/3

Now, lets use the point slope formula:

y - y1 = m(x - x1)

y - 2 = 1/3(x - 9)

Solving for y:

y - 2 = x/3 - 3

y = x/3 - 3 + 2

y = x/3 - 1

Answer:

3 rings

Step-by-step explanation:

10 / 2 = 5 necklaces

(5/5) x 2 = 2 bracelets

10 - 5 - 2 = 3 rings

Answer:

3 ring

Step-by-step explanation:

Total number of jewelry = 10

number of necklace = 1÷2 * 10 = 5

number of bracelets = 2÷5 * 5 = 2

Total of both = 5+ 2= 7

remainder = Total jewelry - sum of necklace and bracelet

remainder = 10 - 7

= 3

therefore there are three rings in the jewelry box

Matrices are a type of data structure that can be used to represent and manipulate data in a variety of ways.

One way to use matrices to represent data is to store the data in the form of a matrix. For example, a matrix could be used to represent a table of values, where each row represents a different data point and each column represents a different attribute or feature of the data.

Matrices can also be used to manipulate data by performing mathematical operations on the matrix elements. For example, matrices can be added, subtracted, and multiplied to perform operations such as matrix addition, matrix subtraction, and matrix multiplication. These operations can be used to perform various types of data manipulation, such as combining data from different sources, transforming data, or calculating statistics.

In addition to performing mathematical operations, matrices can also be used to store and manipulate data in other ways. For example, matrices can be used to represent and manipulate images and other types of data that have a two-dimensional structure. Matrices can also be used to represent and manipulate data in higher dimensions, such as data with a three-dimensional structure.

Overall, matrices are a powerful tool for representing and manipulating data in a variety of contexts, and they are widely used in a range of fields including mathematics, computer science, engineering, and data analysis.

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Matrices are a type of data structure that can be used in a variety of ways to represent and manipulate data.

One method for utilizing grids to address information is to store the information as a framework. A table of values, for instance, could be represented by a matrix, with each row representing a distinct data point and each column representing a distinct attribute or feature of the data.

The plural form of a matrix, a rectangular array or table in which numbers or elements are arranged in rows and columns, is referred to as a matrices. They can have as many columns and rows as you want. Matrix operations include addition, scalar multiplication, multiplication, transposition, and others.

When performing these matrix operations, certain rules must be followed. For example, they can only be multiplied if the first and second columns are exactly the same, and they can only be added or subtracted if they have the same number of rows and columns.

Matrices can also be used to manipulate data by performing mathematical operations on the matrix elements. For example, matrices can be added, subtracted, and multiplied to perform operations such as matrix addition, matrix subtraction, and matrix multiplication. These operations can be used to perform various types of data manipulation, such as combining data from different sources, transforming data, or calculating statistics.

In addition to performing mathematical operations, matrices can also be used to store and manipulate data in other ways. For example, matrices can be used to represent and manipulate images and other types of data that have a two-dimensional structure. Matrices can also be used to represent and manipulate data in higher dimensions, such as data with a three-dimensional structure.

In general, matrices are extensively utilized in a variety of fields, including mathematics, computer science, engineering, and data analysis. They are a powerful tool for representing and manipulating data in a variety of contexts.

Hence the matrices be used to represent and manipulate data.

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Answer:  60

Step-by-step explanation:

Formula to calculate sample size (n):

\(n=(\dfrac{\sigma\times z^*}{E})^2\)

, where \(\sigma\) = population standard deviation, E Margin of error , z* = critical value for the confidence interval.

As per given , we have

E =5

\(\sigma=15\)

Critical value for 99% confidence = 2.576

Then,

\(n=(\dfrac{15\times2.576}{5})^2\\\\\Rightarrow\ n=59.721984\approx60\)

So, Required sample size = 60 .

Answer:

m = -4/5

b = 7

Negative Slope

Not Proportional

Step-by-step explanation:

Answer:

28/d is the answer from my side

Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

9514 1404 393

Answer:

  3×10^8 m/s

Step-by-step explanation:

The desired speed is ...

  \(\dfrac{\dfrac{9.45\times10^{15}\text{ m}}{\text{yr}}}{\dfrac{3.15\times10^7\text{ s}}{\text{yr}}}=\dfrac{9.45}{3.15}\times10^{15-7}\text{ m/s}=\boxed{3.00\times10^8\text{ m/s}}\)

__

Your calculator can help you figure this out.

Answer:

b

Step-by-step explanation:

edge2020