if 4n=3.60 what is the value of n​

The solution (B) x=79.

Rewriting the equation to find the solution -

(x+2)³/₄=27

Raising both sides of the equation with exponent ⁴/₃

((x+2)³/₄)⁴/₃ = 27⁴/₃

Cancelling the exponents on Left Hand Side of the equation. Writing the value on Right Hand Side of the equation in exponent form

x + 2 =  (3³)⁴/₃

Cancelling 3 on Right Hand Side of the equation

x + 2 = 3⁴

Solving Right Hand Side of the equation

x + 2 = 81

Shifting 2 to Right Hand Side of the equation

x = 81 - 2

Performing subtraction on Right Hand Side of the equation

x = 79

Hence, the solution is (B) x=79.

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Answer:

no solution or -3=4

Step-by-step explanation:

Answer:

C.

D.

Step-by-step explanation:

For right triangle has a line of symmetry two sides of the triangle have the same length and two angles of the triangle have the same measure.

A triangle is a three-sided polygon that consists of three edges and three vertices.

A right angle triangle is a triangle in which one angle is a right angle, i.e., in which two sides are perpendicular.

If a right triangle has a line of symmetry then two sides of triangle will have same length and two angles are equal.

For a triangle to have a line of symmetry, it must be an isosceles triangle, meaning two of it’s sides and two of it’s angles must be the same.

From there it follows that for a right triangle to have a line of symmetry it must be an isosceles right triangle, meaning it must either have two 90-degree angles, or two identical non-90-degree angles.

Hence for right triangle has a line of symmetry two sides of the triangle have the same length and two angles of the triangle have the same measure.

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The postulate that proves the triangle are congruent is hypotenuse-leg (HL) congruency theorem.

A triangle is a polygon that has three angles and three sides. The sum of angles in a triangle is 180 degrees.

Types of triangles are isosceles, scalene and equilateral triangles. Two angles are said to be complementary if their sum is 90 degrees.

Two triangles are said to be congruent if all their corresponding sides and angles are congruent. This means that the triangles have equal angles and equal sides.

The postulate that proves the triangle are congruent is hypotenuse-leg (HL) congruency theorem.

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Because the squared equation can have negative roots.

If the equation you're given already includes the squared variable (and you don't multiply by the variable yourself), then you don't need to worry about the extraneous root. Both solutions will be correct because the variable was already squared.

You only need to worry about the extraneous root in the case of a quadratic equation if you made the equation quadratic by multiplying by a variable. Any time you square a negative number or a variable (which may be negative), you risk losing information by making it positive. That means that, if you square a variable (especially for variables on both sides of the equation, which can easily hide a negative) or a negative number, you should always do a quick plug-in and check.

Because the squared equation can have negative roots.

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The expression of the statement is 1.06x

Expressions are mathematical statements that are represented by variables, coefficients and operators

The statement is given as

The price of an item plus 6% sales tax

Let the price of the item be x

So, we have the sales tax amount to be

Sales tax amount = x * 6%

Evaluate the product

So, we have

Sales tax amount = 0.06x

So, the total amount is

Total = x + 0.06x

Evaluate the sum

So, we have

Total = 1.06x

Hence, the expression of the statement is 1.06x

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Answer:

$640

Step-by-step explanation:

3 checks at $120 each = 3 x 120 = $360

This will reduce the balance so we should treat it as -360

2 paychecks at 240 = 2 x 240 = $480

This will increse the balance so we should treat it as +480

Net balance = 520 - 360+480=640

Balance = $640

There are 11.2% more men than women

The First step is to calculate the percentage of men in attendance

There are 75 men and 60 women

Total number of people in attendance= 75 +60

= 135

75/135 × 100

= 0.556 × 100

= 55.6

The percentage of women in attendance

= 60/135 × 100

= 0.444 × 100

= 44.4

Next step is to subtract both percentages

= 55.6 - 44.4

= 11.2

Hence there are 11.2% more men that women

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Step-by-step explanation:

=5(2,47y)+5(-2,03)

=12.35y-10,15

Answer: w2

Step-by-step explanation:

It is just w2, or w*2, or w x 2. You just have the number w twice.

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

A coincidental discrepancy between the observed and true values of anything is known as a random error (e.g., a researcher misreading a weighing scale records an incorrect measurement).

It's not always a mistake when there is random error; rather, it happens when measurements are made. Even when you measure the same item repeatedly, there will always be some variation in your results because to changes in the environment, the instrument, or your own perceptions.

Your measurements are equally likely to be greater or lower than the genuine values due to random error, which has unexpected effects.

According to the given data,

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

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The distance being proportional to the time Hector walked 2 km in 18 minutes.

Two variables are proportional if they can be written in the form ak=b where k is the proportionality constant.

Here the proportionality constant is speed.

Speed is defined as the distance covered in unit time. The unit of speed can be written as kilometer per hour, miles per hour or meters per second.

The distance is proportional to the time walked therefore:

1.5/2=13.5/T₁

or, T₁=18

Similarly:

1.5/4.5=13.5/T₂

or, T₂=40.5 minutes

again,

1.5/5=13.5/T₃

or, T₃=45 minutes.

Hence the total time taken to complete the distances 2,4.5 and 5 is given by 18,40.5 and 45 minutes.

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After solving the equation, x  = 4/5 is the value of x in [tex]2^{5x+1} = 32[/tex]

⇒ [tex]2^{5x+1} = 32[/tex]

⇒    [tex]2^{5x+1} = 2^5[/tex]

⇒ 5x + 1 = 5

⇒ 5x = 5 - 1

⇒ 5x = 4

⇒ x  = 4/5

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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Answer:

13+2=15+2=17+2=19+2=21

1+5=6+5=11+5=16+21

(The Pink Answer)

Step-by-step explanation:

when lines are parallel gradiant should be the same in both equations

or m in y=mx+c

A)

1. y=-3x-6

2. y=-3x+6

therefore A is parallell

B)

1. y=44x+7/2

2.y=2/3x-17

therefore not parallel

c)

1. y=8x/7-17/7

2. y=-23x/21+30/21

therefore not parallel

d)

1. y=-8x/7+6

y=-7x/8-12

therefore not parallel

might have missed something-am tired. let me know if you have an issue.

Answer:

Below

Step-by-step explanation:

Ok, there is a few ways to slove this problem. You could just try to plug in both xs and see which is true, or you could actually do the math. I will do the math.

Alright, the first question is a corrseponding angle, so they are equal to each other. Set it up like this:

3x-1=x+5

Now, you need to get the variable by itself, so do that.

3x-1=x+5

    +1    +1

3x=x+6

-x  -x

2x=6

/2    /2

x=3

The arrow will go to the right.

Now, you have a same side exterior angle. When you add these together, they will equal 180 degrees, so set up the equation like this.

8x+10+6x+2=180

Now, solve

8x+10+6x+2=180

Combine like terms (8x+6x)+(10+2)

14x+12=180

      -12  -12

14x=168

/14   /14

x=12

Your arrow will go down.

Same side interior angles is your next problem, and it is like same side exterior angles as it equal 180. Set up your equation accordingly

10x-8+5x+8=180

Combine like terms (10x+5x)+(8-8)

15x=180

/15   /15

x=12

Your arrow will go down.

These are opposite side exterior angles, so they will equal each other. Set up the equation accordingly.

9x+18=10x-8

Get the variable on one side and by themselves

9x+18=10x-8

    +8         +8

9x+26=10x

-9x        -9x

26=x

Your arrow will go upper corner right

This problem is opposite side exterior angles, so they will equal each other. Set up the equation accordingly.

2x+5=3x-7

   +7       +7

2x+12=3x

-2x      -2x

12=x

Your arrow will go up

Now, you have a same side exterior angle. When you add these together, they will equal 180 degrees, so set up the equation like this.

8x+5+2x-15=180

Combine like terms (8x+2x)+(5-15)

10x-10=180

    +10  +10

10x=190

/10   /10

x=19

Arrow goes diagonal right down

The angles are opposite side interior angles, so they are equal to each other. Set up your equation like this:

4x-4=-3x+52

    +4       +4

4x=-3x+56

+3x +3x

7x=56

/7   /7

x=8

That is your finish!

Answer:

t=−7/6

I hope this helps.

Answer:

1. 9/10 x 3 = 93/10

2. 9/8

Espero que esto ayude a tener un buen día!

Hey there!

(5.4)^2

= 5.4^2

= 5.4 * 5.4

= 29.16

Therefore, your answer should be:

29.16

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

First subtract 28 by 7.

28 - 7 = 21

Then multiply 28 times 3

28 times 3 is 84

Then finally divide 84 by 21

84/21 = 4

Each of the children would get 4 apples

Step-by-step explanation:

The solved logarithmic function is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

What is a logarithmic and exponential function?

Logarithmic functions and exponential functions are inverses of each other. The logarithmic function is denoted by using the word log while exponential by using the alphabet,  e. For example log 10 = 1 and e^2.

Solving the given expressions: log (2x - y) = 1 and log (x + y) = 3 log 2

Applying given properties of logarithmic and exponential function;

log a + log b = log (ab)

4 log x = log x⁴

e^(log x) = 1

e^(x + y) = (e^x) × (e^y)

Take expression, log (2x - y) = 1

Applying exponential on both sides, we get,

e^(log 2x - y) = e^1

2x - y = e

To Check Results,

Taking logarithm both sides,

log (2x - y) = log e

log (2x - y) = 1

Thus, the answer is verified.

Take expression, log (x + y) = 3 log 2

Applying exponential on both sides, we get,

e^(log (x + y) = e^(3 log 2)

x + y = e^(log 8)

x + y = 8

To Check Results,

Taking logarithm both sides,

log (x + y) = log 8

log (x + y) = 3 log 2

Thus, the answer is verified.

Hence, the solved expression is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

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The value of the fifth term based on the expression a + (n - 1) + 6 is 14.

From the information, it should be noted that the first term has been given and the nth series has been given.

It should be noted that the fifth term will be:

= a + (n - 1) + 6

where

a = 4

n = 5

Therefore, a + (n - 1) + 6

= 4 + (5 - 1) + 6

= 4 + 4 + 6

= 14

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a_1=4 and an=a + {n-1}+6. Find the fifth term

From the box-and-whisker plot of the distribution, we have that:

The plot of the distribution is missing, as is given at the end of the answer.

It asks to describe:

A box and whisker plot shows five things:

For the plot in this problem, we have that:

Hence:

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The absolute value inequality that represents the number of hours spent on doing homework is 2 ≤ x ≤ 5

Let us assume that one spends x hours doing homework on a typical weekday. Then we can write

The inequality expression for a slow weekend is given as;

X ≥ 2

In the same vein, the inequality expression for a busy weekend is given as;

X ≤ 5

Pooling the two inequalities expression we have;

2 ≤ x ≤ 5

Two inequality expression could be written simultaneously if they can be expressed individually. They are commonly referred to as a “double” inequality and is often written in the form a ≤ f (x) ≤ b

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Answer:

If y varies directly as x and y= 64 when x=4 find x when y=48

x=3

Function f(x) to represent the 10-point bonus. f(x) = x+10

Function g(x) to represent the 9% increase. g(x) = X +0.09x

                                                                     g(x) = 1.09x

Use a composite function to find your grade if the 10-point bonus is applied before the 9% increase.

(g.f)x = g(f(x))

  f(75) = 85

 g(85) = 92.65

Use a composite function to find your grade if the 9% increase is applied before the 10-point bonus.

(f.g)(x) = f(g(x))

g(75) = 1.09(75) = 81.75

f(x) = 81.75+10 = 91.75

You would want 10 point bonus applied  before percentage increase. the 10 point bonus is flat increase.

whereas the percentage increased larger if multiplying by  a bigger number  your grade would be almost 1% higher with is option

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The function that represents the total amount of money in both accounts at the end of three years as

First Bank - 107 P / 100

Second Bank - 10747 P / 10000

Simple interest :

    Simple interest can be calculated as follows

S.I = PRT / 100

Let the amount invested in two banks be 'P'

First Bank :

Given the first bank offers an interest rate of 3% for the first year and 2% for the next two years as

R₁ = 3%, R₂ = 2% T₁ = 1, T₂ = 2

Now the simple interest for the first bank is

S. I = PR₁T₁ / 100 + PR₂T₂ / 100

     = P(3*1 / 100 + 2*2 / 100)

     = P(3 / 100 + 4 / 100)

     = 7P/100

The total amount of money in the first bank at the end of three years is

= S.I + P

= 7P / 100 + P

= 107 P / 100

Second Bank:

Given the second bank offers an interest rate of 2.49% for the three years as

R = 2.49, T = 3

Now the simple interest for the second bank is

S. I = PRT / 100

     = P(2.49 * 3 / 100 )

     = P(7.47 / 100)

     = 7.47P/100

The total amount of money in the second bank at the end of three years is

= S.I + P

= 7.47P / 100 + P

= 107.47 P / 100

= 10747 P / 10000

Therefore, the function that represents the total amount of money in both accounts at the end of three years as

First - 107 P / 100

Second - 10747 P / 10000

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The simplified expression of the expression given as (y - 3)(y^2 + 9)(y + 3) - (2y^2 - y)^2 - 19 is (y^4 - 81) - (2y^2 - y)^2 - 19

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

(y - 3)(y^2 + 9)(y + 3) - (2y^2 - y)^2 - 19

Rewrite the above expression as

(y + 3)(y - 3)(y^2 + 9) - (2y^2 - y)^2 - 19

Apply the difference of two squares formula

So, we have

(y^2 - 9)(y^2 + 9) - (2y^2 - y)^2 - 19

Evaluate the product

So, we have

(y^4 - 81) - (2y^2 - y)^2 - 19

Hence, the simplified expression of the expression given as (y - 3)(y^2 + 9)(y + 3) - (2y^2 - y)^2 - 19 is (y^4 - 81) - (2y^2 - y)^2 - 19

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