Which statement about pulleys is not true?

1. Fixed pulleys increase the output force.
2. Movable pulleys reduce the input force.
3. Fixed pulleys change the direction of the output force.
4. Fixed and moveable pulleys can be combined.

A pictorial representation or a diagram that represents data or values in an organized manner. For function f(x)=-x+3, -3≤x≤3 the graph is in attachment.

A pictorial representation or a diagram that represents data or values in an organized manner.

Given f(x)=-x+3, -3≤x≤3

It means x values lies from -3 to 3

x        -3         -2      -1      0     1       2      3

f(x)      6         5       4       3     2      1       0

By taking the table values we can draw a graph.

Therefore the attached graph is the graph for f(x)=-x+3.-3≤x≤3.

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The new coordinates after transformation of the original coordinates using the transformation rule (x, y) → (x, -y) are;

P(6, -4) → P'(6, 4)

Q(2, -2) → Q(2, 2)

R(2, -6) →  R(2, 6)

S(6, -6) → S(6, 6)

The given reflection transformation of (x, y) → (x, -y) simply means a reflection across the x-axis.

Thus, the new coordinates after undergoing the above transformation are;

P(6, -4) → P'(6, 4)

Q(2, -2) → Q(2, 2)

R(2, -6) →  R(2, 6)

S(6, -6) → S(6, 6)

Thus, we conclude that the new coordinates after transformation of the original coordinates using the transformation rule (x, y) → (x, -y) are;

P(6, -4) → P'(6, 4)

Q(2, -2) → Q(2, 2)

R(2, -6) →  R(2, 6)

S(6, -6) → S(6, 6)

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Answer:

E) (0, 1)

Step-by-step explanation:

We can equalize the first two equations to find a certain point they share. We can then check if the third line also passes through this point if substituting that point's x coordinate into the third line's equation returns the point's correct y value.

[tex]2x + 1 = 3x + 1 \\\to 0 = x[/tex]

Therefore, the point is (0, 1) as substituting [tex]x = 0[/tex] into the first equation returns [tex]y = 1[/tex].

Substituting [tex]x = 0[/tex] into the third equation does also return [tex]y = 1[/tex], therefore, that line passes through the shared point (0, 1).

The value of x is 12.

What is triangle proportion?

According to the Triangle proportion rule, When a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

In the diagram;

The side with x is a reflexive side of both triangles and as such from triangle proportionality theorem we can say that;

⇒6/x = 3/6

⇒ 36 = 3x

⇒ x = 12

Hence, The value of x is 12.

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Answer:

[tex]1.93475*10^{-10}[/tex]

Step-by-step explanation:

To multiply the decimal numbers in scientific notation, multiply the decimals and add the powers of the 10.

  [tex]\sf 5.45 * 10^{-4}* 3.55*10^{-7}=5.45*3.55 * 10^{(-4)+(-7)}[/tex]

                                         [tex]\sf = 19.3475*10^{-11}[/tex]

Now, write the decimal 19.3475 in scientific notation.

As we have to move the decimal one count towards left, add 1 to the power.

                                         [tex]\sf = 1.93475*10^{-11+1}\\\\ = 1.93475*10^{-10}[/tex]

Answer: A quadrilateral that has 4 sides is known as a rectangle.

Answer:

Step-by-step explanation:

This is either a rectangle or a square.

(A square is a special type of rectangle, with 4 equal sides).

The number of ants that are more than people will be 9800000.

It should be noted that based on the information, it was stated that on earth, there are about 1 quadrillion ants and about 8 billion people.

Therefore, the difference between the values illustrated will be:

= 1 quadrillion - 8 billion

= 1 × 10^15 - 8 × 10^9.

= 9.2 × 10^5

Therefore, the number of ants that are more than people will be 9800000

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Use the following information to fill in the blanks. On earth, there are about 1 quadrillion ants and about 8 billion people.

On Earth, there are about ...... more ants than people.

The equation that shows the different and incorrect relationship is C. b = ✓(a² + c²)

It should be noted that from the information the Pythagoras theorem was illustrated and given as c² = a² + b²

Therefore, the equations that can be gotten from it include b² = c² - a².

It should be noted that the equation that shows the different and incorrect relationship is b = ✓(a² + c²)

In conclusion, the correct option is C.

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Answer:

50

Step-by-step explanation:

because 10 × 5 is 50

- to check 50 ÷ 4 is infact equal to 10 (make sure u always double check ur answers)

According to the question, the given expression is a single natural logarithm and the expression is as follows:

Expression: [tex]ln7+2ln5[/tex]

Using logarithmic formulas, the above expression can be written as:

Expression: [tex]ln7+2ln5 = ln7+ln5^{2} =ln7+ln25[/tex]

Using multiplication logarithmic formula that is [tex]log(ab)=log(a)+log(b)[/tex]

Now the above expression can be written as:

Expression: [tex]ln7+ln25 = ln(7X25) = ln(175)[/tex]

The solution for the given expression is: [tex]ln(175)[/tex].

What is logarithmic function?

In terms of mathematics, the logarithmic function can be defined as the inverse of exponential function. It is always on the positive side of the ordinate axis.

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Hey there!

x^2 * y

= 7^2 * 9

= 7 * 7 * 9

= 49 * 9

= 441

Thus, the answer should be:

441

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

ANSWER- X is  2.52083333 or 2.52083 rounded

265-23 is 242. 242 divided into 96 is 2.52083333

(96 x 2.52083333)+23 = 265

This means our X is 2.52083...

HOPE THIS HELPS & GOOD LUCK

Answer:

[tex]\displaystyle \frac{121}{48}[/tex]

or

[tex]2.5208\bar3[/tex]

To begin, subtract 23 from both sides of the equation. This will move the constants to the right side.

[tex]96x=242[/tex]

Then, divide both sides of the equation by 96. This will isolate the unknown, x, and allow you to solve the equation.

[tex]\displaystyle \frac{96x}{96}=\frac{242}{96}[/tex]

[tex]\displaystyle x=\frac{121}{48}[/tex]

There are two different answers that are equivalent but will depend on what you are looking for.

For a fraction answer, your final answer is [tex]\displaystyle \frac{121}{48}[/tex].

For a decimal answer, your final answer is [tex]2.5208\bar3[/tex].

The number of hours that Jing spent on each subject will be;

Mathematics = 5.36 hours

Chemistry = 10.72 hours

History = 71.32 hours

Let the number of hours spent on Mathematics = x

Chemistry = 2x

History = 4(2x + x) + 7 = 12x + 7

Total hours = 82 hours

Therefore, the time used for each will be illustrated:

x + 2x + 12x + 7 = 82

14x + 7 = 82

14x = 82 - 7

14x = 75

x = 75 / 14

x = 5.36 hours

Mathematics = x = 5.36 hours

Chemistry = 2x = 2 × 5.36 = 10.72 hours

History = 4(2x + x) + 7 = 12x + 7 = 71.32 hours

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Answer: Evaluate x[tex]\frac{8}{3}[/tex]

DIFFERENTIATE W.R.T. X

[tex]\frac{8x\frac{5}{3} }{3}[/tex]

​

Step-by-step explanation:

Answer:

-18k

Step-by-step explanation:

-> -8k+ 10k

-> minus and plus is = minus

-> 8k+10k

-> -18k(ans)

Answer:

The dimensions of the rectangle are length = 22 meters and width = 13 meters.

Step-by-step explanation:

It is given that the length of a rectangle is 4 meters less than twice the width and if the area of the rectangle is 286 square meters we need to calculate the dimensions.

Firstly, let us look at the dimensions of the rectangle;

=> Let 'l' be the length and 'b' be the width of the rectangle.

Now, let us look at the area of a rectangle;

=> l × b

So, we get an equation from the above condition;

=> l = 2b - 4

Now, the area of the rectangle is given that is 286 square​ meters;

=> A = 286 sq. m.

Using the above-mentioned formula for the area of the rectangle we get;

=> A = l × b

=> 286 = (2b - 4) × b

=> 286 = 2b² - 4b

=> 2b² - 4b - 286 = 0

After solving it further we get;

=> 2b² - 4b - 286 = 0

=> b² - 2b - 143 = 0

=> b² - 13b + 11b - 143 = 0

=> (b - 13) + (b + 11) = 0

Now, after equating both the sides we get;

=> (b - 13) = 0

=> b = 13

and

=> (b + 11) = 0

=> b = -11

But, b = -11 is not possible so, the width of the rectangle is 13 meters.

And the length of the rectangle would be,

=> l = 2b - 4

=> l = 2 × 13 - 4

=> l = 22

Therefore, the dimensions of the rectangle are length = 22 meters and width = 13 meters.

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From 100 yards away, a marksman hit  probability of It means 90% of the targets were hit .

What is the probability?

Total no of targets = 10

number of targets hit = 9

                                    = 100/10  = 10

                                   = 10 * 9   ⇒ 90

It means 90% of the targets were hit .

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The number of caps they can buy is 2 and the number of shirts they can buy is 6.

The system of equations that can be used to represent this question is:

6s + 3c = 36 equation 1

s + c = 8 equation 2

Where:

In order to determine the required values, take these steps:

Multiply equation 2 by 6

6s + 6c = 42 equation 3

Subtract equation 1 from equation 3

3c = 6

c = 6/3

c = 2

Substitute for c in equation 2:

s + 2 = 8

s = 8 - 2

s = 6

Here is the complete question:

Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and Caps cost $3 each. How many of each item can they afford?

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Based on the given parameters, the value of x such that the lines are parallel is 20

Parallel lines are lines that extend indefinitely and do not meet

The given parameter is the lines in the figure

From the figure, we have the following angles:

3x + 20 and 2x + 40

The angles are corresponding angles

Corresponding angles are congruent

So, we have

3x + 20 = 2x + 40

Collect the like terms

3x - 2x = 40 - 20

Evaluate the like terms

x = 20

Hence, the value of x such that the lines are parallel is 20

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When Nautica is making a scaled copy of a square using a scale factor of 2, the option that isn't true is D. The corresponding angles in each figure are equivalent.

It should be noted that based on the information given, we've to multiply the given figures by 2

Therefore, each angle is multiplied by 2, the corresponding side lengths are multiplied by 2, and the perimeter is multiplied by 2

Therefore, the correct option is D.

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The reasonable class intervals for a frequency table in between 120-269 with 14 class interval in between is shown .

Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.

Given:

The weights of 100 main subjects as a part of a nutrition study.

The values ranging from a low of 121 pounds to a high of 263 pounds.

According to given question we have

Total span =263 pounds- 121 pounds

                  =142 pounds

Interval             frequency

120-134                4

135-149                14

150-164                16

165-179                 28

180-194                 17

195-209                8

210-224                 7

225-239                6

240-254                 2

255-269                3

Therefore, the reasonable class intervals for a frequency table in between 120-269 with 14 class interval in between is shown .

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The slope of the line that passes through  (8, 0) and (-4, -8) is calculated as: m = 2/3.

The slope (m) formula is given as:

Slope (m) = change in y/change in x = y2 - y1/x2 - x1.

Given the following points on the line:

(8, 0) = (x1, y1)

(-4, -8) = (x2, y2)

Plug in the values into the slope formula, x = y2 - y1/x2 - x1:

Slope (m) of the line = (-8 - 0) / (-4 - 8)

Slope (m) of the line = (-8) / (-12)

Slope (m) of the line = 2/3

Thus, the slope of the line that passes through  (8, 0) and (-4, -8) is calculated as: m = 2/3.

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The composite discount = 32%

The store offers 15% which  on all items and employees get a 20% discount.

The composite discount formula is:

 -x - y + ( x ×y / 100)

Here x = 15% and y = 20%

So by putting the value of x and y we get

- 15 - 20 + ( 15 × 20 /100)

- 15 -20 + 3

- 35+ 3

-32  

Therefore we get the composite discount i.e., 32%

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The unknown angle in the triangle is as follows:

m∠A = 52°

External angle theorem states that If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

Therefore,

m∠D = m∠A + m∠B

m∠D = 116°

m∠A =  (2x)°

m∠B = (x + 38)°

Hence,

116 = 2x + x + 38

116 = 3x + 38

3x = 116 - 38

3x = 78

divide both sides by 3

x = 78 / 3

x = 26

Therefore,

m∠A = 2(26)

m∠A = 52°

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The area of stained glass with a parallelogram shape is 108cm².

So, Area of parallelogram = Base × Height

Now, in △LMN use the Pythagorean theorem:

Using the parallelogram area formula:

Then,

Therefore, the area of stained glass with a parallelogram shape is 108cm².

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The solution for the equation √x + 6 + 2 = x + 6 is 4.

An extraneous solution is one that results from the process of addressing the problem but is not a legitimate solution to the problem, such as the answer to an equation.

A formula known as an equation uses the equals sign (=) to express how two expressions are equal.

Consider the equation,

√x + 6 + 2 = x + 6

Subtracting 6 from each side of the equation.

√x + 6 + 2 -  6 = x + 6 - 6

√x + 2 = x

Subtracting 2 from each side.

√x + 2 - 2 = x - 2

√x = x - 2

Squaring the above equation.

( √x )² = ( x - 2 )²

x = x² - 4x + 4

x² - 5x + 4 = 0

x² - x - 4x + 4 = 0

x( x - 1 ) - 4( x - 1 ) = 0

( x - 1 )( x - 4) = 0

x = 1, 4

Checking for extraneous solutions,

x = 1

√x + 6 + 2 = x + 6

√1 + 6 + 2 = 1 + 6

9 ≠ 7

Hence, x = 1 is not a solution.

For, x = 4

√x + 6 + 2 = x + 6

√4 + 6 + 2 = 4 + 6

2 + 6 + 2 = 4 + 6

10 = 10

The solution of equation √x + 6 + 2 = x + 6 is x = 4.

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