- The weight of an object having mass 5kg is 450 N weight of another object having mass 50kg is 147N. Check weather the mass and we weight are proportional What is the constant of proportionality​

Answer:

a)3⋅37/2⋅5

​ =11 1/10

​=11.1

b) -1.1

Step-by-step explanation:

0.5(-77.8 - 11)/-4 =

= 0.5(-88.8)/-4 = 0.5(22.2) = 11.1

as you can see, when just doing it step by step, this can be done just in the head without the need of a calculator.

remember the priorities for mathematical operations :

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

and also

+×+ = +

-×- = +

-×+ = -

+×- = -

therefore, -88.8/-4 = 22.2

and

0.5 = 1/2

so, 22.2×0.5 = 22.2/2 = 11.1

regarding average :

the average of a set of data is always the sum of all the data divided by the number of data points.

so, we see here 5 data points.

their sum is

-32.6 + 24.7 - 8.3 + 19.1 - 8.4 = -5.5

the average is then

-5.5/5 = -1.1 m sea level

If  (12, -33) is solution of Equation then LHS= RHS.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We have the points (12, -33).

As, we know that the points are said to be the solution of equation if the LHS part of Equation becomes equal to RHS part of Equation.

For instance we have Equation x+ 2y= 3.

Then we have solution of the Equation then by solving x+2 y we get the value 3.

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The total distance Sam will travel is 56 miles.

A Fraction is a number that is a part of a whole. It is denoted by [tex]\frac{a}{b}[/tex] form. In which the upper part 'a' denotes the numerator and the lower part 'b' denotes the denominator.

Let d be the total distance travelled by Sam.

Then, he travelled 12 miles plus 1/4 total distance = 12+ [tex]\frac{1}{4}[/tex](d)

He still needs to travel = [tex]\frac{3}{8}[/tex](d)+9

Total distance,d = 12+[tex]\frac{1}{4}[/tex](d)+[tex]\frac{3}{8}[/tex](d)+9

                       d = 12+9+[tex]\frac{5}{8}[/tex](d)

                       d = [tex]\frac{96 +72+5d}{8}[/tex]

                     8d = 96+72+5d

               8d-5d = 168

                       d = [tex]\frac{168}{3}[/tex]

                       d= 56 miles.

Hence, total distance Sam will travel today is 56 miles.

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Answer: (1) -17 And (2) 17

Step-by-step explanation:

1)

-√8^2+15^2

Calculate the numbers under the square first

-√(64)+(225)

Add them (keeping them under the square)

-√289

now take the square of the calculated number

- (√289)

remember to multiply with the -

-(17)

2.1) Long Version

√5^2 + √12^2

Calculate the numbers under the square first

√25 + √144

Take the individual squares

5 + 12

Add

17

2.2) Short Version

Rule - A square root will always cancel out a power of 2

√5^2  = 5  And √12^2 = 12

5 + 12 = 17

Answer:

256

Step-by-step explanation:

The expression "2 × 2^7" means 2 multiplied by 2 raised to the power of 7. The power of 2 raised to 7 is 128, so 2 × 2^7 = 2 × 128 = 256.

Step-by-step explanation:

Finding slope, m, as follows

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

This is where we choose two random (x,y) coordinates

Let's use (8,19) and (6,13). Now we plug these numbers into the equation

[tex]m = \frac{19 - 13}{8 - 6} = \frac{6}{2} = 3[/tex]

Concluding m = 3

Answer:

[tex]9*5[/tex]

Step-by-step explanation:

9(5s) are 9*5.

Therefore , the solution of the given problem of equation comes out to be (2/3)x + 7 = 2x .

In arithmetic equations, the identical figure (=) is used to denote the equivalence of two assertions. It is demonstrated that mathematical methods, which have acted as manifestations of reality, can be used to assess a variety of numerical factors. The equal sign actually splits the number 12 into two separate pieces, despite the fact that the result is y + 6 = 12. Calculations can be made to determine how many protagonists are also present at either end of a particular character. Conflicting sign interpretations are frequent.

Here,

Let's call the number we're looking for "x".

According to the problem, "two-thirds of a number" can be expressed as (2/3)x, and "is added 7" can be expressed as +7. Finally, "the result is twice the same number" can be expressed as 2x.

Putting it all together, we can write the equation:

(2/3)x + 7 = 2x

This equation represents the information given in the problem.

Therefore , the solution of the given problem of equation comes out to be (2/3)x + 7 = 2x .

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Answer:

The damaged area of rubber will touch the ground 834 times. This can be determined by using the formula for circumference, which is 2πr where r is the radius. In this case, the radius is 0.67 meters, so the circumference of the wheel is 4.24 meters. Since the farmer drives 1.5 km, this would be equal to 1500 meters. Therefore, the damaged piece of rubber will touch the ground 1500 meters/4.24 meters = 834 times.

Answer:

C.) 105°

Step-by-step explanation:

We can see that angles 2 and 6 are corresponding angles, which means they are congruent and equal.  We also know that a is straight line, which means angles 5 and 6 are supplementary and must equal 180°.

Thus, since <6 = 75°, we simply subtract this from 180 to find the measure of <5:

180 - 75 = 105° = m <2

Grace read 5/15 of the book during the day, so she read 10/15 of the book at night can use the following equation: 1/3 + x = 10/15

Grace read 1/3 of the book in the morning, and by the end of the day she still had 2/5 of the book left. To calculate how much she read at night, we can use the following equation: 1/3 + x = 10/15, where x represents the amount of the book she read at night. Solving for x, we get x = 5/15. This means that Grace read 5/15 of the book during the day and 10/15 of the book at night. To put this into context, if the book was 300 pages long, she would have read 100 pages in the morning and 200 pages at night. This equation shows that it is important to use fractions when solving these types of problems. Fractions allow us to easily calculate the amount of something that has been used or read. Without fractions, it would be much more difficult to solve these types of problems.

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Based on the given bar chart, the modal mark of the pupils test score is 6.

A bar chart is the graphical representation of data using rectangles also referred to as bars.

A mode is a statistical measure which shows the data with the most reoccurring value. Simply put, the mode is the value which occurs most in a frequency distribution.

Number of pupils Marks scored

1. 1

2. 2

3. 3

3. 4

4. 5

5. 6

3. 7

2. 8

1. 9

1. 10

Therefore, 5 pupils scored 6 marks which is the Model mark because it has the highest number of pupils to the test scores.

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It is given that, for the three-digit numbers (abb) and (baa), and the two-digit number (aa), (abb) + (aa)+ 1 = (baa).

Therefore, a + b = 5 + 4 = 9

Digit Number :

A number is an individual number used to represent a value in mathematics. 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are used in various combinations and repetitions to represent all values ​​in mathematics. Ten digits from 0 to 9 can be represented by symbols called digits.

In mathematics, each digit of a number has a numeric value. A place value can be defined as a value represented by a number of digits depending on the position of the digit.

For example, 7th place in 3743 is 700 or 700. But 7432's 7th place is 7000 or 7000. Here, the number 7 is the same in both digits, but the place value changes depending on the position.

Now,

A + 8 = 3, then A has to be 5 because unit digit of the sum has to be 3.

There is a carry-over of 1.

So, 4+ 9+ 1 = 14

A = 5, B = 4 and C=1

Therefore, a + b

                 = 5 + 4 = 9

Complete Question :

Find the values of the letters in the following and give reasons for the steps involved.

     4  A

+   9  8  

_________

​  C  B  3

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The cylinder container has a radius of 1.63 centimeters.

The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder.

V = πr²h

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

Given that cylinder container has a height of 15 centimeters and a volume of 125.6 cubic centimeters.

Substitute the known values in the formula, and solve for radius:

125.6  = π(r)² × 15

(r)² = 125.6/π × 15

(r)² = 2.66

r = √2.66

r = 1.63 cm

Thus, the radius of the cylinder is 1.63 centimeters.

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When a point T(- 1, 2) is rotated 180° clockwise about the origin, the coordinates of the new point T' may be obtained using coordinate plane rotation rules would be (1, -2).

The x-coordinate changes its sign with a 180° clockwise rotation, as does the y-coordinate.

As a result, the coordinates of T' following a 180° clockwise revolution around the origin are:

T'(x', y') = ( -(-1), -(2)) = (1, -2)

So, point T' is located at (1, -2).

It's worth noting that rotations about the origin keep the distance between the source and the point being rotated constantly.

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The type of probability situation being used depends on the type of situation being analyzed.

Single event: A single event refers to a single outcome of a random process. For example, the outcome of a coin flip (heads or tails) is a single event.

Two mutually exclusive events: Two events are said to be mutually exclusive if they cannot occur at the same time. For example, the events "rolling a 4 on a die" and "rolling a 6 on a die" are mutually exclusive, because a die cannot show both 4 and 6 at the same time.

Multiple independent events: Multiple independent events are events that do not influence each other. For example, the outcome of rolling two dice is made up of two independent events (the outcome of each individual die roll).

Multiple dependent events: Multiple dependent events are events that are influenced by each other. For example, if you draw two cards from a deck, the outcome of the second draw depends on the outcome of the first draw (since there are fewer cards left in the deck).

Conditional: A conditional probability is the probability of an event occurring given that another event has already occurred. For example, the probability of getting heads on a coin flip given that the first flip was tails is still 50%, because the outcome of the first flip does not change the probability of the second flip.

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During the times the Sun is facing the equator, the length of day and night is nearly equal (12 hours each) at the equator because the sun's rays are hitting the earth at a 90-degree angle.

The Equator is an imaginary line that circles the Earth, equidistant from the North and South Poles and dividing the Earth into the Northern and Southern Hemispheres.

It is important because it serves as a reference for determining the latitude of a location, as well as its climatic and ecological zones. The Equator also plays a crucial role in the distribution of sunlight, affecting weather patterns and ocean currents, and is a key factor in the Earth's climate and ecosystems.

The Equator, as should be noted is used as a reference for navigation, mapping, and astronomical observations.

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Full Question:

Short answer questions:

The Sun faces the Equator twice in a year. How is the length of the day and night during that time and why?

The measure of ∠N' after rotating clockwise 90° about the origin of triangle MNP as per given measurements is equal option A . 46°.

In triangle MNP,

Measure of the angles in triangle MNP are:

∠M = 89°

∠N = 46°

∠P = 45°

Rotating triangle MNP clockwise 90° about the origin forms M'N'P'.

Measure of ∠N' = Measure of ∠N

                          = 46°

It change the coordinates of the triangle MNP  but measure of angles remain same.

Therefore, the measure of angle N' after rotation of triangle MNP clockwise 90 degrees about the origin gives option A . 46°

The above question is incomplete , the complete question is:

Triangle MNP has angles of measure ∠M = 89 degrees, ∠N = 46 degrees, and ∠P = 45 degrees . Triangle MNP is rotated 90 degrees clockwise about the origin to form triangle M'N'P'. What is the measure of angle N'?

Α: 46°

B: 45°

C: 44°

D: 89°

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Answer:

B, C, F

Step-by-step explanation:

To see if the point (4, -5) is on the graph of each equation or not, we have to put the number in and test it.

A.  3(4)+2(-5) = 4

12 - 10 = 4

2 = 4

So, it is not in graph A

B. 2(4) + 3(-5) = -7

8 - 15 = -7

-7 = -7

So, it is in graph B

C.  -5 = 4(4) -21

-5 = 16 - 21

-5 = -5

So, it is in graph C

D. y=6x-15

-5 = 6(4) - 15

-5 = 24 - 15

-5 = 9

So, it is not in graph D

E. 1/5y = 7 -5/2x

1/5(-5) = 7 -5/2(4)

-1 = 7 - 10

-1 = -3

So, is not in graph E

F. 3/4x + 2/10y = 2

3/4(4) + 2/10(-5) = 2

3 - 1 = 2

2 = 2

So, it is in graph F

So, point (4,-5) is on graphs B, C, F

Answer:

No, it is not legal to drive at 80 mph, even if everyone else is driving at that speed, if the posted speed limit is 65 mph. The posted speed limit is the maximum legal speed that drivers are allowed to travel on a particular road, and it is a law that must be followed.

Step-by-step explanation:

So the total amount received by Sohail is 100 * y². To get the precise amount, we must first determine the value of x.

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.

Let's call the number of days Sohail was in town and cleaned the house "y". Then we can write:

y = x - 8 (since he was out of town for 8 days)

And the amount he was promised per day is 10, so the total amount promised is:

10 * y = 10 * (x - 8)

At the end of the break, his mother decided to square the amount due to him, so the final amount he received is:

(10 * y)² = (10 * (x - 8))²

Expanding the square and simplifying, we get:

100 * y²= 100 * (x - 8)²

So the final amount Sohail received is 100 * y². To find the exact value, we need to know the value of x.

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Answer:

56 is the right answer

Step-by-step explanation:

7*8=56

Answer:

(3x+3) cm

Step-by-step explanation:

x+(x+4)+(x-1)=x+x+4+x-1

=x+x+x+4-1

=(3x+3) cm

Reason:

Focus on Q(0, 5) and Q′(9, 5)

More specifically, focus on the x coordinates. We go from x = 0 to x = 9, which means "shift 9 units to the right" since we added 9 to the old x coordinate to get the new x coordinate. The y coordinates stay the same.

The translation rule is [tex](\text{x},\text{y}) \to (\text{x}+9, \text{y})[/tex]

Answer:

x° = 89+ 34 °

= 133is the answer

An infinite amount

When you are only given angles, then that means that the sides could be anything. 1, 2, 3, 1298371823, they are all possible.

Answer:

only 1

Step-by-step explanation:

Because I'm smart

Sry for the bad explanation but the answer is correct.

The probability that the first card is a 4, the second card is a club, and the third card is a 2 is equals to 6/5,525.

We have a standard deck has 52 cards. Three cards are dealt randomly from a standard deck. It is assumed that the cards are not changed after the transaction. Since there are four 4s in the deck of cards, the probability of rolling a 4 = 4/52. Now, the second dealt card is "club". The probability that the second card will be a club is = 13/52.

However, we have already drawn 1 card, which was a 4. This means that out of 51 cards, only 12 club cards remain. Thus the probability of club cards = 12/51. The third card can now be a 2. Therefore, the probability of falling third card will be a 2 = 3/50 (since two cards already dealt so total = 50 and one drawn card is a 4 then remaining= 3).

So, the overall probability = 4/52 x 12/51 x 3/50 =144/132,600 = 6/5,525.

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Complete question:

Three cards are dealt at random from a standard deck of 52 cards. What is the probability that the first card is a 4, the second card is a club, and the third card is a 2?

The solution of the operation is -0.814 approximately.

Therefore the answer is E. None of the above.

The expression being evaluated in this problem is the result of performing several mathematical operations in a specific order. First, the expression inside the parentheses is evaluated:

(-2.6 + 56 - 16)

= 56 - 2.6 - 16

= 37.4

(-87 × 0.35) = -30.45

Next, the expression outside the parentheses is evaluated:

(−87 × 0.35) ÷ (−2.6 + 56 - 16)

= -30.45 ÷ 37.4

≈ -0.814

So, the solution to the expression is -0.814.

--The question is not in English, the question in English is--

"What is the solution of the operation, (−87 × 0.35) ÷ (−2.6 + 56 - 16)?

A. -629

B. -196

C. 629

D. 296

E. None of the above"

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a) The weekly factor of growth for the insect population is given as follows: 3.

b) The initial population is given as follows: 300.

An exponential function is defined as follows:

y = ab^x.

In which:

In 2 days, the population increased from 900 to 8100, hence the factor of growth is obtained as follows:

b² = 8100/900

b² = 9

b = 3.

Meaning that the initial population is obtained as follows:

900/3 = 300.

The first problem is incomplete, hence it could not be answered.

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