Find the value of the expression 30 ​–​ 3​ 2​÷​ 3 + 8(2).

Answer:

$58

Step-by-step explanation:

Here, n = 80

Therefore,

$(0.10n + 50) =$[(0.10×80)+50] = $(8.00+50) = $58.00

Answer:

$58

Step-by-step explanation:

The probability distribution for the number of empty balls is,

I.(3, 0, 0), II.(0, 3, 0) and III.(0, 0, 3).

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment).

The binomial probability is \(^nC_xp^{n-x}q^x\).

Given, Each of the three balls is randomly placed into one of three bowls.

Therefore, It can be I.(3, 0, 0), II.(0, 3, 0) and III.(0, 0, 3).

So, The probability distribution would be, P(1) + P(2) + P(3).

= 1/3 + 1/3 + 1/3.

= 1.

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Answer:

B

Step-by-step explanation:

the first values represent the inputs, which are the x values and the other values are the outputs which are the y values

Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.

The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.

Here,

We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:

=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon

Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.

Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:

=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.

As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.

Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.

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By solving a quadratic equation, it can be calculated that

a) The rocket is at a height of 45.1 m after the launch

b) The rocket reaches a maximum height of 91.63 seconds

c) It took 4.08 seconds by the rocket to reach the maximum height

d) It took 8.41 seconds by the rocket to land

What is a quadratic equation?

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as Quadratic equation.

The given quadratic polynomial is

h = \(-4.9t^2 + 40t + 10\)

Here a quadratic equation needs to be solved

a) Height of rocket after 1 second = h(1) = \(-4.9(1)^2 + 40(1) + 10\)

                                                                 = 45.1 seconds

c) Time taken to reach the maximum height = \(-\frac{40}{2 \times (-4.9)}\) = 4.08 seconds

b) Maximum height = h(4.08) = \(-4.9(4.08)^2 + 40(4.08)+10\) = 91.63 m

d) To calculate the time taken by the rocket to land

\(-4.9t^2 + 40t + 10 = 0\\4.9t^2 - 40t -10 = 0\\49t^2 - 400t - 100 = 0\\t = \frac{-(-400 \pm \sqrt{(-400)^2 - 4 \times 49 \times (-100)}}{2\times 49}\\\\t = \frac{400 \pm \sqrt{179600}}{98}\\\\t = \frac{400 \pm 423.79}{98}\\\\t = \frac{400 + 423.79}{98} \ or \ t = \frac{400 - 423.79}{98}\\\\t = 8.41 \ or \ t= -0.24\\\)

But t = -0.24 is not possible

So the rocket will land 8.41 seconds after the launch                    

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Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

Step-by-step explanation:

3x × 8x- 3x×16

24x -48x

-24x

On the given statement, the transitive property is applicable. Thus option A is correct option.

According to the statement

we have to find that the which statements are true in the form of given statement.

So, For this purpose, we know that the

A property is called transitive property, if x, y and z are the three quantities, and if x is related to y by some rule, and y is related to z by the same rule, then we can say x is related to z by the same rule.

And the given equation is

x=y and y = z

from this it is clear that the x= z.

then transitive property is perfect for this.

So, On the given statement, the transitive property is applicable. Thus option A is correct option.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

If x=y and y = z, which statement must be true

A. Transitive property applicable here

B . Associative property applicable here

C . Distributive property applicable here

D . Identity property applicable here

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Answer:

30

Step-by-step explanation:

2(n+3y)

Plug in the numbers

2(3+3(4))

2(3+12)

2(15)

30

I'll try! What's the link?

The value of the given Fraction expression is -6.93.

What is Fraction?

A fraction is a mathematical expression that represents the division of a whole number or quantity into parts. It is written as two separate numbers, a numerator and a denominator, separated by a slash. The numerator represents the number of parts being considered, and the denominator represents the total number of parts. Additionally, fractions can also represent parts of a whole number. For example, the fraction 1/2 represents one part of a whole number that has been divided into two equal parts. Fractions can also be combined to create a sum of parts.

So, we have

-15 - 3.7 + 9.15/5 * 3^2 - 4.7

Evaluate the quotient and the exponent

So, we have

-15 - 3.7 + 1.83 * 9 - 4.7

Evaluate the product

-15 - 3.7 + 16.47 - 4.7

Evaluate the sum and the difference

-6.93

Hence, the value of the given fraction expression is -6.93 (none of the options is correct)

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Answer:

Step-by-step explanation:

One Fraction:   \(\frac{9}{5}\)  

Mixed Number:  \(1\frac{4}{5}\)        

Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

Answer:

2a⁷

Step-by-step explanation:

you have to add 3 to 4

The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

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For every 4 beef cattle there is 3 dairy cattle. For 24 dairy cattle there will be 32 beef cattle as per the given ratio of 3:4.

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.

Here,

a. No for every 4 beef cattle there is 3 dairy cattle.

b. 4/3=x/24

x=4*24/3

x=32 beef cattle

There are 3 dairy cattle for every 4 beef cattle. According to the stated ratio of 3:4, there will be 32 beef cattle for every 24 dairy cattle.

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Answer:

321

Step-by-step explanation:

The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Answer:

\( y = -\frac{1}{3}x-2\)

Step-by-step explanation:

From the table it is clear that the line is passing through the points \( (0,\: -2)= (x_1, \:y_1) \: \&\: (-6, \:0)=(x_2,\:y_2) \)

(There are many other points in the table and any two of them can chosen as per our convenience)

Equation of line in two point form is given as:

\( \frac{y-y_1}{y_1 - y_2} = \frac {x-x_1}{x_1 - x_2} \\\\

\therefore \frac{y-(-2)}{-2 - 0} = \frac {x-0}{0 - (-6)} \\\\

\therefore \frac{y+2}{-2} = \frac {x}{0+6)} \\\\

\therefore \frac{y+2}{-2} = \frac {x}{6)} \\\\

\therefore 6(y + 2) = - 2(x)\\

\therefore 6y + 12 = - 2x \\

\therefore 6y = - 2x - 12\\\\

\therefore y = -\frac{2}{6}x-\frac{12}{6}\\\\

\huge \red {\boxed {y = -\frac{1}{3}x-2}} \\\\\)

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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An arrangement of more than one repeating shape with no spaces or overlapping between shapes is a semi-regular tessellation

Given data ,

Let the semi-regular tessellation be represented as A

Now , the value of A is

A semi-regular tessellation is a tiling of the plane by two or more regular polygons in such a way that every vertex has the same configuration of polygons in the same order

Therefore , an arrangement of more than one repeating shape with no spaces or overlapping between shapes

Hence , the semi-regular tessellation is solved

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The area of the composite figure is 111 square units.

A composite figure is a 2D shape or figure that is made up of two or more simpler shapes or figures combined together. These simpler shapes can be any combination of polygons, circles, or other curves.

Composite figures are often formed when two or more basic shapes are put together to create a more complex shape. For example, a figure that consists of a rectangle and a triangle placed together is a composite figure.

To find the area of a composite figure like this, we can break it up into simpler shapes and then find the area of each shape and add them together.

First, we can see that the shape consists of three triangles and a rectangle:

Triangle 1: (0,3), (2,3), (2,7)

Triangle 2: (-7,7), (-7,6), (5,-6)

Triangle 3: (5,1), (-1,-2), (-5,2)

Rectangle: (-3,5), (0,3), (-7,7), (-7,6)

To find the area of each triangle, we can use the formula:

Area = 1/2 * base * height

For Triangle 1, the base is 2 - 0 = 2 and the height is 7 - 3 = 4. So the area is:

Area of Triangle 1 = 1/2 * 2 * 4 = 4

For Triangle 2, the base is 5 - (-7) = 12 and the height is 7 - (-6) = 13. So the area is:

Area of Triangle 2 = 1/2 * 12 * 13 = 78

For Triangle 3, we can see that it is a right triangle with sides of length 6, 6, and 8. So the area is:

Area of Triangle 3 = 1/2 * 6 * 8 = 24

To find the area of the rectangle, we can use the formula:

Area = length * width

The length is the distance between (-7,7) and (-7,6), which is 1. The width is the distance between (-7,7) and (-3,5), which is 5. So the area is:

Area of Rectangle = 1 * 5 = 5

Finally, we can add up the areas of all the shapes to get the total area:

Total Area = Area of Triangle 1 + Area of Triangle 2 + Area of Triangle 3 + Area of Rectangle

Total Area = 4 + 78 + 24 + 5

Total Area = 111 square units

Therefore, the area of the composite figure is 111 square units.

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The total number of coins is 35

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

Number of coins in the box = 7

Proportion of coins in the box = 20%

These parameters mean that

Number of coins in the box = Proportion of coins in the box * Total number of coins

Substitute the known values in the above equation, so, we have the following representation

7 = 20% * Total number of coins

Divide both sides by 18%

Total number of coins = 35

Hence, the total number of coins is 35

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The mass of the drug in the organ at time t depends on the concentration of the drug in the blood entering the organ and the rate at which the blood is entering and leaving the organ. This can be calculated by multiplying the volume of the organ by the concentration of the drug in the blood.

At time t, since the rate at which the blood is entering and leaving the organ is 3 cm^3/sec, the amount of drug in the organ is equal to the amount of drug entering the organ plus the amount of drug that was initially in the organ. As there was no trace of the drug initially, the mass of the drug in the organ at time t is 3 cm^3/sec multiplied by the concentration of the drug in the blood (1/3 gm/cm3) multiplied by the volume of the organ (150 cm^3).

Therefore, the mass of the drug in the organ at time t is 150 gm.

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Answer:

---------------------

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

Answer:

x < 3

Step-by-step explanation:

Answer:

x < 3

Step-by-step explanation:

treat the sign as if it was an equal sign

then you would solve for x

2x < 6

x < 3

however, there are some cases where the sign would switch directions, you can search up "inequalities algebra" to see more examples

Answer:

The first part is of permutations.

We are selecting 3 elements from three different elements {1,2,3}

Points given:

We permit overlapped elements for the sequence. Here "overlapped elements" indicates that repetition is allowed.

So when repetition is allowed and order matters, we use permutations.

Formula to compute permutation is:

Lets say n is the three elements {1,2,3}

We have to select 3 elements so r = 3

Total number of selections using permutations = \(n^{r}\) =  n × n × n

                                                                    = 3³ = 3 * 3 * 3

                                                                    = 27

This means if we have 3 different elements then we have have 3 choices each time for making a sequence.

Hence  If we make a sequence selecting three elements from three different elements  {1, 2, 3} and we permit overlapped elements for the sequence, then the total  number of sequences is 27.

Step-by-step explanation:

The second part indicates combinations.

This is because the statement of the question:  If we do not take into account the order.

When the order does not matter, we use combinations.

So when the order does not matter and repetition is allowed we use the following formula:

Total number of selections using combinations = (r + n - 1)! / r! (n - 1)!

                                                                                = (3 + 3 - 1) ! / 3! (3 - 1)!

                                                                                = (3 + 2) ! / 3! (2!)

                                                                                = 5! / 3! 2!

                                                                                = 5*4*3*2*1 / (3*2*1 ) (2*1)

                                                                                = 120 / 6 * 2

                                                                                = 120 / 12

                                                                                = 10

So these are the number of combinations of 3 elements taken 3 at a time with  repetition.

The total number that will be selected in the permutations is 27.

Based on the information given, the total number of permutations will be:

= n³

= 3 × 3 × 3

= 27

Also, the total number of selection using combination will be:

= (3 + 3 - 1)! / 3!(3 - 1)!

= 120 / (6 × 2)

= 120/12

= 10

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I'm confused can u tell me the question in comments

Answer:

The equation of the new line is \(y = -2x - 3\)

Step-by-step explanation:

Reflecting a function over the x-axis:

Suppose we have a function y = f(x)

Suppose y' is the function y, reflected over the x-axis. Their relation is:

y' = -y

In this question:

Line with equation \(y = 2x + 3\)

Reflection over the x-axis:

We have that:

\(y = -(2x + 3) = -2x - 3\)

The equation of the new line is \(y = -2x - 3\)