if g(x) =
[tex] {x }^{3} - 2x[/tex]
find
[tex] \frac{g(2 + h) - g(2)}{h} [/tex]

​

At the given rate, I can perform 480 pushups.

Your goal should be to complete 100 push-ups in 2 minutes (this is a standard for elite soldiers).

White defines that as 10 to 20 push-ups if your max is 25 reps, 2 sets of 10 to 20 if your max is 25 to 50 reps, and 2 to 3 sets of 10 to 20 if your max is greater than 50 push-ups. "If you're doing a lot of sets and hitting a lot of volume, I'd try to do them every other day.

24/6 = 4

meaning they are doing 4 push ups per second, this is your slope

the equation of your line is y = 4x, you can graph this using a table of values

2 minutes = 120s

y = 4(120)

y = 480 push ups

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Answer:

Step-by-step explanation:

The three numbers are 50, 40, and 27.

We can solve this equation by setting up a system of equations.

Let x be the first number, y be the second number, and z be the third number.

x + y + z = 117

y = x - 10

z = (1/2)x + 2

Substituting the equation for y into the first equation, we get:

x + (x - 10) + (1/2)x + 2 = 117

2x - 8 = 117

2x = 125

x = 62.5

Substituting this value of x into the other equations, we get:

y = x - 10 = 62.5 - 10 = 52

z = (1/2)x + 2 = (1/2)62.5 + 2 = 32.5 + 2 = 34.5

Rounding these values, the three numbers are 50, 40, and 27.

Answer:

Step-by-step explanation:

57

Answer: 25%

Step-by-step explanation:

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

The probabilities regarding the total time of the 34 jets are given as follows:

a) Less than 320 minutes: 0.9306 = 93.06%.

b) More than 275 minutes: 0.8238 = 82.38%.

c) Between 275 and 320 minutes: 0.7544 = 75.44%.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for the total time of the 34 jets is given as follows:

The probability that the mean is less than 320 minutes is the p-value of Z when X = 320, hence:

Z = (320 - 292.4)/18.66

Z = 1.48

Z = 1.48 has a p-value of 0.9306.

The probability that the mean is more than 275 minutes is one subtracted by the p-value of Z when X = 275, hence:

Z = (275 - 292.4)/18.66

Z = -0.93

Z = -0.93 has a p-value of 0.1762.

1 - 0.1762 = 0.8238.

The probability of a value between these two amounts is given as follows:

0.9306 - 0.1762 = 0.7544.

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Answer:

B

Step-by-step explanation:

after 0 it's 1 and 4 is after 5

Answer:

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

Given system:

First simplify the second equation by dividing all terms by 2:

We got the same equation as the first one. It means the two lines overlap, so there are infinitely many solutions.

If we use elimination method, we will subtract the two equations then end up with equation 0 = 0.

Answer:

scalene acute as its all sides length are not equall and its all angle are less than 90 degrees

Answer:

K = Fr^2/q1q2

first one option A is the correct

Answer:

Letter A

Step-by-step explanation:

The justification for step 3 in the solution process is the subtraction property of equality. This property states that if two numbers are subtracted from each other on both sides of an equation, the two sides remain equal. In this case, step 3 is subtracting -0.3a from both sides of the equation, which results in a = 8.3.

Answer: A

Step-by-step explanation:

Answer:

To solve the simultaneous equations 3x - 2y = 4 and 4x - y = 13, we can use elimination or substitution. To solve by elimination, we can subtract 3x - 2y from both sides of the first equation, and 4x - y from both sides of the second equation, resulting in -2y = -12 and -y = 9. Then we can add the two equations together which gives us -3y = -3. Dividing both sides by -3 gives us y = 1. We can then substitute this value for y into either of the original equations and solve for x. In this case, if we substitute 1 for y in the first equation, we get 3x - 2(1) = 4, which simplifies to 3x = 6. Dividing both sides by 3 gives us x = 2. Therefore, the solution to the simultaneous equations is x = 2 and y = 1.

Step-by-step explanation:

see above

Answer:

[tex]x= -2 , y=5[/tex]

Step-by-step explanation:

[tex]3x + 2y = 44x - y = -13[/tex]

Take either of the equations and choose which to make the subject. i shall choose the second equation and make -y the subject of the formula.

[tex]4x - y = -13[/tex]

lets take -y to the other side because we want -y to be positive, ie (+y)

[tex]4x = y - 13 ,[/tex] take -13 to the other side,

[tex]y= 4x + 13[/tex]

now that we have that we take the other equation and substitute what y is into the equation, i.e

[tex]3x + 2( 4x + 13) = 43x + 8x + 26= 411x + 26 = 4[/tex]

we take +26 to the other side,

[tex]11x = 4 - 26[/tex]

[tex]11x = -22[/tex][tex],[/tex] divide both sides by 11, x becomes

[tex]x = -2[/tex]

now that we know what x is we substitute it into the formula,

[tex]4(-2) - y = -13-8 - y = -13y = -8 + 13y = 5[/tex]

If one order is selected, the probability of getting an order that is not accurate is 0.236.

Probability is a measure of the likelihood of an event occurring. The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. Scientific probability is built on the basis of probability theory.

The calculation is;

P(Not accurate ) is equal to [n(Not accurate) + (Not accurate)- n] /Total

Thus, we have;

P(Not accurate) is calculated as follows:

(60 + 32 + 12 + 38 + 122 + 12 - 12)/(280 + 245 + 122 + 331 + 60 + 32 + 12 + 38).

P(Not accurate) = 264/1120

P(Not accurate ) = 0.236

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Answer:

5

Step-by-step explanation:

{9.75 + [tex]\frac{1}{2} ^{2}[/tex]] ÷ 2

[9.75 + [tex]\frac{1}{4}[/tex]] ÷ 2               1/4 = .25

(9.75 + .25) /2

10/2 = 5

Answer:

Area = 15.6 cm²

Step-by-step explanation:

Area of a rectangle = long * wide

Then:

Area of a rectangle = 6.5 cms * 2.4 cm

Area of a rectangle = 15.6 cm²

The requried solution of the differential equation is given as y = x⁴/4 + c₁x²/2 + c₁².

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

here,

Given the differential equation,

y' = 2 √y . x

y' = dy/dx so,

dy/dx = 2√y.x
dy/√y = 2x dx
[tex]y^{-1/2}dy = 2xdx\\\sqrt{y} /[1/2] = x^2 + c_1[/tex]
y = [1/2(x² + c₁)]²
y = x⁴/4 + c₁x²/2 + c₁²  

Thus, the requried solution of the differential equation is given as y = x⁴/4 + c₁x²/2 + c₁² .

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Answer:

y = 13x - 41

Step-by-step explanation:

Parallel lines always have the same slope since

[tex]m_{2}=m_{1}[/tex]

Thus, the slope of the second line is m = 13.

We can find the y-intercept of the line by plugging in the points for x and y, 13 for m, and solving for b:

[tex]-2=13(3)+b\\-2=39+b\\-41=b[/tex]

Answer:

expanded from:4d²-20de-25e²

The linear speed of the Earth is 6.66×10⁴mi/hr

Speed is a measure of how fast an object is moving

The formula for linear speed is v=rw

where  the radius, , is the distance from the Earth to the Sun which is 9.29×10⁷miles and the angular speed is w=1 rev/365 days

Solving for the speed

=9.29×10⁷×1 rev/365 days

=9.29×10⁷×(1 rev/365 .2π rad/1 rev. 1 day/24 hr)

=9.29×10⁷×(2π rad/365.24hr)

v=66633.32mi/hr

Hence, the linear speed of the Earth is 6.66×10⁴mi/hr

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Answer:

W

Step-by-step explanation:

1 year = 365 days

1 day => 6 diapers

1 year => 365 × 6 = 2190 diapers changed per year

The area of the rectangle with a length of (x + 5) cm and width of (x + 2) cm is (x² + 7x + 10) cm²

An equation is an expression that shows the relationship between two or more numbers and variables.

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel. The area of a rectangle is the amount of space that it occupies. The area is calculated using:

Area = length * width

The rectangle shown has a length of (x + 5) cm and width of (x + 2) cm. Hence:

Area = length * width

Substituting:

Area = (x + 5)(x + 2)

Area = x² + 2x + 5x + 10

Area = (x² + 7x + 10) cm²

The area of the rectangle is (x² + 7x + 10) cm²

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Answer:

Day 1: 8 pairs x $5.00/pair = $40.00

Day 2: 7 pairs x $5.00/pair = $35.00

Day 3: 15 pairs x $5.00/pair = $75.00

Day 4: 12 pairs x $5.00/pair = $60.00

Day 5: 31 pairs x $5.00/pair = $155.00

Day 6: 20 pairs x $5.00/pair = $100.00

Day 7: 35 pairs x $5.00/pair = $175.00

Total sales for the week: $40.00 + $35.00 + $75.00 + $60.00 + $155.00 + $100.00 + $175.00 = $605.00

Daily average of sales: $605.00 / 7 = $86.43

Total cost: 8 pairs + 7 pairs + 15 pairs + 12 pairs + 31 pairs + 20 pairs + 35 pairs = 128 pairs x $1.25/pair = $160.00

Profit: $605.00 - $160.00 = $445.00

So your total sales for the week were $605.00, your daily average of sales was $86.43, your total cost was $160.00 and your profit was $445.00

Answer:

  (0, -3)

Step-by-step explanation:

You want a point on the graph of 4x -y = 3.

It is often convenient to choose an intercept when looking for a point that will satisfy the equation. Here, it is convenient to set x=0 to obtain y=-3.

A solution ordered pair is (0, -3).

__

Additional comment

Here, it will be more convenient to choose a value for x. Choosing a value for y can result in fractions becoming involved for the values of x. We prefer to avoid that.

  y = 4x -3 . . . . . . y=-3 when x=0; y=1 when x=1, so (1, 1) is another solution

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The hypothesis is "the stars are visible".

The conclusion is "it is night".

This is because a conditional follows the format of "if hypothesis, then conclusion". It shortens to "If P, then Q".

It's fairly clear that the original conditional is true. There are some extremely rare exceptions, but mostly stars are only visible at night.

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

The converse is "If it is night, then the stars are visible".

Reason: The original "If P, then Q" format flips to "If Q, then P" when forming the converse.

The converse is false. The fact that it is night does not automatically lead to the stars being visible. For example, storm clouds at night can obscure the stars.

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

The inverse is "If the stars aren't visible, then it is not night".

We negate both the hypothesis and conclusion. The format of the inverse is "If not P, then not Q".

Like the previous statement, the inverse is false. Why? Because the stars not being visible doesn't automatically mean it's not night. We could have storm clouds covering up the stars. Or perhaps the city has a lot of light pollution to drown out the stars.

The converse and inverse have the same truth value, as they are equivalent statements (just phrased slightly different ways).

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

The contrapositive is "If it's not night, then the stars aren't visible".

The original conditional "If P, then Q" leads to the contrapositive "If not Q, then not P". We swap the positions of P and Q. Also, we negate each piece. In a sense, we combine both the inverse and converse operations to get a contrapositive.

The contrapositive is true because "not night" of course means "day", in which the stars aren't present in the sky. The contrapositive and original conditional have the same truth value. The contrapositive is a way to rephrase the original conditional.

Answer:

Hypothesis:  "the stars are visible"

Conclusion:  "it is night"

Converse:  "If it is night, then the stars are visible" - false.

Inverse:  "If the stars are not visible, then it is not night." - false.

Contrapositive:  "If it is not night, then the stars are not visible" - true.

Step-by-step explanation:

Conditional statement

"If this happens, then that will happen."

Given conditional statement:

Therefore:

Converse statement

The converse of a conditional statement is formed by switching the hypothesis and the conclusion.

Therefore, the converse of the given conditional statement is:

This is a false statement as the stars will not be visible if there is cloud cover at night.

Inverse statement

The inverse of a conditional statement is formed by negating the hypothesis and the conclusion.

Therefore, the inverse of the given conditional statement is:

This is a false statement as the stars will not be visible if there is cloud cover at night.

Contrapositive statement

The contrapositive of a conditional statement is when both the hypothesis and conclusion are negated and then switched.

Therefore, the contrapositive of the given conditional statement is:

It is difficult to say if this is a true or false statement without more information, as it is possible to see bright stars during the daytime through a telescope or a really powerful pair of binoculars.

If we are to assume that "visible" means "visible to the eye" without any magnification assistance, then the statement is true (if we exclude the sun, which is a star).

According to the information, when I am on the 15th floor of building A, my friend is on the 18th floor of building B.

To find the floor number where my friend is in building B while I am on the 15th floor of building A, we must perform the following mathematical operation:

Rule of three

Based on the above, we can infer that to find the number of the floor where my friend is, we must follow a rule of three. This gives us 18 as a result, that is, he is on that floor number in building B, while I am on 15 in building A.

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Answer:

1. 3 -1

2. 6-3

3. 20-8 adding the smallest and the highest#

Answer:

sight line & horizontal line

Step-by-step explanation:

varsitytutrs

The production of congruent figures involves stiff rigid transformation Even if you could imagine them as forms that "appear exactly the same," congruent figures.

During accurate modification of a geometric object, distance between each point pair is maintained. In other words, precise transformations maintain an object's size and shape. For instance, the angles and lengths of a triangle are preserved throughout a rigid transformation. Imagine a stiff shape, such as one made of cardboard, distorting. Even when the shape is rotated, mirrored, and moved left and right, nothing changes.

Here,

When I used putty to create a mold, it was the opposite. After that, users can stretch and twist the objects.

These ratios are not exact though. The distance between every pair of points is altered when the shape is stretched.

Applying rotations, reflection, and translations—three different forms of transformations—can result in congruent shapes.

In reality, by mixing any or all of these three transformations, any congruent shape pairs can be matched to one another.

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The complete question is " Do rigid transformations make congruent figures?"

Answer:

Step-by-step explanation:

1+3=4, 4+5=9, 9+7=16, and 16+9=25.

The numbers added are in odd numbers from least to greatest.

So the next number is supposed to be 25+11=36.