Determine the product. Write your answer in scientific notation.
(15.4 × 102) · (2.8 × 10–4) = ?

A. 431.2 x 10^2
B. 43.12 x 10^-3
C. 4.312 x 10^-1
D. 431.2 x 10^-4

6  is the length of segment AC in right-angled triangle .

What is a right-angle triangle, exactly?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees.

               Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

  let length of AC is x

   BC + CD = AC + DE

  4 + 8 = X + 6

     12 = X + 6

       X = 6

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Answer:

\(3\frac{1}{5}\)brownies per hour

Step-by-step explanation:

     Given parameters:

Number of brownies = \(\frac{4}{5}\) of a dozen

Time taken  = 3hrs

Unknown:

Average baking per hour = ?

Solution:

The average baking per hour;

    This is a rate problem;

     Average baking per hour = \(\frac{number of baking}{time}\)

Number of brownies = \(\frac{4}{5}\) x 12  = \(\frac{48}{5}\)

 Average baking per hour = \(\frac{48}{\frac{5}{3} }\)  

                                            = \(\frac{48}{5} x \frac{1}{3}\)

                                             = \(\frac{16}{5}\)

                                            = 3\(\frac{1}{5}\)brownies per hour

Designing an easy do-it-yourself compost bin:

Drawing and Description:

The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.

The bin can be placed directly on the ground or on a solid surface, depending on personal preference.

Materials Used:

Wood or wire mesh (depending on preference)

Nails or screws to assemble the structure

Size of the Bin:

The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.

Substances Used to Fill It:

To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.

Household Items That Can Go in It:

You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).

Time for Compost to Be Ready:

The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.

Using the Compost:

Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.

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Answer:

x = 3√3;

y = 3

Step-by-step explanation:

Use trigonometry:

\( \sin(30°) = \frac{y}{6} \)

Cross-multiply to find y:

\(y = 6 \times \sin(30°) = 6 \times 0.5 = 3\)

Use the Pythagorean theorem to find x:

\( {x}^{2} = {6}^{2} - {y}^{2} \)

\( {x}^{2} = {6}^{2} - {3}^{2} = 36 - 9 = 27\)

\(x > 0\)

\(x = \sqrt{27} = \sqrt{9 \times 3} = 3 \sqrt{3} \)

A positive and a negative co - terminal angle for each given angle is 1) -π/2 and -9π / 2 and 2) 7π / 2 and -π / 2 .

Given :

a positive and a negative co - terminal angle for each given angle

1 )  

= -5π / 2

To find positive and negative co - terminal angle we need to add and subtract by 2π .

= -5π / 2 + 2π

= -5π + 4π / 2

= -π/2

= -5π / 2 - 2π

= -5π - 2 * 2π / 2

= -5π - 4π / 2

= -9π / 2

or =

2 )

= 3π / 2

= 3π / 2 + 2π

= 3π + 2 * 2π / 2

= 3π + 4π / 2

= 7π / 2

= 3π / 2 - 2π

= 3π - 4π / 2

= -π / 2

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Answer:

A. r²

Step-by-step explanation:

The formula for the area of a circle is π r²,

thus the π is multiplied by the r²

Answer:

\(\large\boxed{\mathtt{9^{8}}}\)

Step-by-step explanation:

\(\textsf{For this problem, we are asked to simplify the given expression.}\)

\(\textsf{Let's begin by understand an important rule for problems like these.}\)

\(\mathtt{9^{3} \times 9^{5} = 9^{?}}\)

\(\large\underline{\textsf{We should remember that;}}\)

\(\textsf{When exponents multiply, they \underline{add}.}\)

\(\large\underline{\textsf{Why?}}\)

\(\textsf{If not, then the answer will be incorrect. Let's identify why in an example.}\)

\(\large\underline{\textsf{Bad Example:}}\)

\(\mathtt{2^{2} \times 2^{5} = 2^{2 \times 5 =10}}\)

\(\textsf{This means that;}\)

\(\mathtt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \neq 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2.}\)

\(\large\underline{\textsf{Good Example:}}\)

\(\mathtt{2^{2} \times 2^{5} = 2^{2+5=7}}\)

\(\textsf{This means that;}\)

\(\mathtt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2.}\)

\(\textsf{Let's follow the good example!}\)

\({\mathtt{9^{3} \times 9^{5} = 9^{3 + 5=8}}\)

\(\textsf{This means that;}\)

\(\mathtt{9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 = 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9.}\)

\(\large\boxed{\mathtt{9^{8}}}\)

\(\huge\text{Hey there!}\)

\(\mathsf{9^3 \times 9^5}\\\mathsf{= 9\times 9 \times 9\ \boxed{\times}\ 9\times 9\times 9 \times 9 \times 9}\\\mathsf{= 81\times 9\ \boxed{\times}\ 81\times81\times9}\\\mathsf{= 729\ \boxed{\times}\ 6,561\times 9}\\\mathsf{= 729\ \boxed{\times}\ 59,049}\\\mathsf{= 43,046,721}\\\mathsf{= 9^3 \times 9^5 \rightarrow 9^{3 + 5}\rightarrow 9^8}\)

\(\huge\text{Therefore your answer should be:}\)

\(\huge\boxed{\mathsf{9^8}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

she is 0 blocks away from home because you said she started at home

Answer:

a) Malavika is 8 blocks west from home

b) Traveled 20 blocks total

Step-by-step explanation:

a) According to a compass: 3 west (left), then 6 east (right) and that puts you at 3 east (right). Then back 11 west (left) puts you at 8 west (left)

b) Add up all blocks traveled: 3 + 6 + 11 = 20

Answer:

0.33

Step-by-step explanation:

Answer:

The statement that is true about dot plot is:

A dot plot shows the frequency of the individual values of any given data set

Step-by-step explanation:

A dot plot also known as a dot chart or a strip plot is just a display of the data depending upon the frequency of the values.

The dot plot is somewhat like the histogram but the difference is:

A histogram shows the frequency of an interval of values of any given data set.

     for example:

  we may make a histogram for the weight of students of a class.

  since we may divide the weight of the students into some interval.

whereas the dot plot gives the frequency of the individual data points or discrete data points.

      for example:

     we may plot a dot plot for rolling a number cube 20 times.

Hence, the correct statement is:

A dot plot shows the frequency of the individual values or of any given data set.

Answer:

42

Step-by-step explanation:

The maximum height reached by each stone is 40.5 meters.

The height of each stone above the ocean is given by the function:

h = -2t² + 2t + 40

This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.

The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.

The t-coordinate of the vertex is given as:

t = -b / 2a

Substitute the values of a and b,

t = -2 / (2×(-2)) = 0.5

So the maximum height is reached 0.5 seconds after the stone is thrown.

To find the maximum height, substitute the value of t into the function:

h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters

Therefore, the maximum height reached by each stone is 40.5 meters.

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Answer:

-1.75

Step-by-step explanation:

12.5 - (31 / 2) + 1 1/4 = -1.75

Given:

Analogue clock gaining 3 min. every hours

correct time at 6pm on saturday

So in 20 hours clock will gain:

In 20 hours clock gain 1 hour.

When the clock gain 12 hours , it will show correct time again.

So,

After 240 hours clock show right time i.e. after 10 days the clock will gain 12 hours and give right time.

If the clock is set to the correct time at 6 pm on saturday, than after 10 days i.e. 6pm on Tuesday it will show correct time

(b)

Same problem with 24 hours in digital clock.

When the clock gain 24 hours then its show right time.

so,

After 480 hours clock show right time i.e. 20 days clock will gain 24 hours and give right time.

If the clock set saturday at 6 pm then after 20 days 6 pm of Friday

C, D, and E would all be Statistical Questions.

A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.

The symbols W and L are variables.

The symbol P is a constant.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(L + W)

52 = 2(12 + 14)

52 = 2(26)

52 feet = 52 feet.

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Answer: B

Step-by-step explanation:

2(—2) + 10 = 6.

2(0) + 6 = 6.

2(2) + 2 = 6.

2(4) + (—2) = 6

The number 0.00165 in scientific notation is 1.65 * 10⁻³

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

Number = 0.00165

Multiply the number by 1

So, we have the following representation

Number = 480000 * 1

Express 1 as 10³/10³

Som we have

Number = 0.00165 * 10³/10³

This gives

Number = 1.65 * 10⁻³

Hence, the expression is 1.65 * 10⁻³

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Answer:

.20

Step-by-step explanation:

take the two digit % and move the decimal two places to the left

Answer: 0.2

Step-by-step explanation: 20/100 is 1/5 and 1/5 means 1 divided by 5 so the answer is 0.2

To determine how many students studied at least four hours we need to count the X marks from the number four until the line finish at 9.

In this case we have 4 X's, therefore we conclude 4 students studied at least 4 hours.

Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

Answer:

  8 cm; from the table

Step-by-step explanation:

The equation gives the ground distance in terms of the map distance, so would have to be solved for x to be used to find map distance.

The graph is not shown.

The table appears correct, and includes the value 32 km for a map distance of 4 cm. The ground distance of interest is 64 km, which is twice that table value. That means the map distance will be twice the corresponding table value: 2×4 cm = 8 cm.

The distance from Town A to Town B is represented on the map by 8 cm.

\(~\hspace{16em}\underset{\downarrow }{\textit{distance on map}}\\ \begin{array}{|c|c|c|c|c|c|c|c|c|c|} \cline{1-10} Map&0&1&2&3&4&5&6&7&8\\ \cline{1-10} Actual&0&8&16&24&32&40&48&56&64\\ \cline{1-10} \end{array}\\ ~\hspace{16em}\stackrel{\uparrow }{actual~distance}\)

1. From a rope 11 m long, two pieces of lengths 13/5 m and 33/10 m are cut off. What is the length of the remaining rope?

2. A drum full of rice weighs 241/6 kg. If the empty drum weighs 55/4 kg, find the weight of rice in the drum.

3. A basket contains three types of fruits weighing 58/3 kg in all. If 73/9 kg of these be apples, 19/6 kg be oranges and the rest pears. What is the weight of the pears in the basket?

4. On one day a rickshaw puller earned $80. Out of his earnings he spent $68/5 on tea and snacks, $51/2 on food and $22/5 on repairs of the rickshaw. How much did he save on that day?

The condition for the matrix \(\left[\begin{array}{cc}a&b\\c&d\end{array}\right]\) that is row-equivalent to the matrix \(\left[\begin{array}{cc}1&0\\0&1\end{array}\right]\) is \(ad-bc&\neq0\). The correct condition is option C.

A matrix is a kind of representation used in maths where the elements are organized into columns and rows. The matrix is represented by m×n. Here, the n represents the number of columns and m represents the number of rows in a matrix.

Given the matrix is \(\left[\begin{array}{cc}a&b\\c&d\end{array}\right]\). Let's divide the terms of row 1 (R₁) by "a". We get, \(\left[\begin{array}{cc}1&\frac{b}{a}\\c&d\end{array}\right]\). Then, R₂ is simplified by the expression R₂=R₂-cR₁. We get, \(\left[\begin{array}{cc}1&\frac{b}{a}\\0&d-\frac{cb}{a}\end{array}\right]\). Now dividing R₂ by  \(d-\frac{cb}{a}\), we get \(\left[\begin{array}{cc}1&\frac{b}{a}\\0&1\end{array}\right]\).

The matrix is now solved by the expression \(R_1=R_1-\frac{b}{a}R_2\), we get, \(\left[\begin{array}{cc}1&0\\0&1\end{array}\right]\).

From the above calculations, we write

\(\begin{aligned}\frac{ad-bc}{a}&\neq0\\ad-bc&\neq0\end{aligned}\)

The required answer is option C.

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The complete question is -

Determine conditions on a, b, c, and d such that the matrix \(\left[\begin{array}{cc}a&b\\c&d\end{array}\right]\) will be row-equivalent to the given matrix \(\left[\begin{array}{cc}1&0\\0&1\end{array}\right]\).

A. \((a + b) - (c + d) \neq 0\)

B. ad - bc = 0

C. \(ad-bc\neq0\)

D. (a + b) - (c + d) = 0

E. a = d and b = c

Answer:

The correct answer is C

Step-by-step explanation:

:)

Answer:

I would go for "Evidence that the climate has changed over the past 100 years."

Explanation:

I chose the answer i did because the climate change has changed the Earth in so many ways. It has started melting glaicers(sorry if i spelled that wrong...) and it might have been the reason that the dinosuars have gone extinct, which is a good thing because I wouldn't want to be eaten by a T-rex.

Answer:

-8.66666666666666666666666666666666666

-9

Step-by-step explanation:

Answer:

I think its C

Step-by-step explanation:

Hello !

Answer :

Explanation :

\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)

\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)

\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)

Have a nice day ;)