Solve the rational equation for n

Answer:18

Step-by-step explanation:

59 - 30 - 11 = 18

Answer:

Both the lights will flash 1440 times a day. Proof: Red light flashes after every 30 seconds and green light flashes after every 20 seconds.

Step-by-step explanation:

Complex number :

[tex]i^{99}[/tex]= - i.

here,

i = [tex]\sqrt{-1}[/tex]

If the power is

99 is odd so now is

-i if (99+1)/2 is even or is

i is (99+1)/2 is odd

Now check (99+1)/2= 100/2= 50,

50 is even so

i^99 = -i

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When a square and a rectangle have the same perimeters. If the length of a side of the square is 4x-1 and  the length of the rectangle is 2x+1 and the width is x+2. then the value of x=1

The perimeter of the square is equal to the perimeter of the rectangle.

The length of a side of the square=4x-1

The perimeter of the square=4a

Where a is the side of the square

Substitute the values in the equation

The perimeter of the square=4(4x-1)=16x-4

The length of the rectangle=2x+1

The width of the rectangle=x+2

The perimeter of the rectangle=2(l+w)

where l is the length and w is the width

The perimeter of the rectangle =2(2x+1+x+2)

=2(3x+3)

= 6x+6

A square and a rectangle have equal perimeters

16x-4=6x+6

16x-6x=6+4

10x=10

x=1

Hence, when a square and a rectangle have the same perimeters. If the length of a side of the square is 4x-1 and  the length of the rectangle is 2x+1 and the width is x+2. then the value of x=1

The complete question is

A square and a rectangle have the same perimeters. The length of a side of the square is 4x-1. The length of the rectangle is 2x+1 and the width is x+2, Write and solve an equation to find x

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The range of the function f (x) = -3x are (0, -3, 6).

What is Domain?

The set of all inputs of the function is called Domain of set.

Given that;

The domain of f(x) = -3x is (0, 1, 2).

Now, Domain of the function are the values of x.

So, We find the Range of the function as;

Substitute all the values of domain (x) in the given function as;

The function is;

f (x) = -3x

For x = 0

Range = f (x) = - 3 × 0 = 0

For x = 1;

Range = f (x) = - 3 × 1 = -3

For x = 2

Range = f (x) = 3 × 2 = 6

Thus, Range of the function are (0, -3, 6)

Therefore, The range of the function f (x) = -3x are (0, -3, 6).

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Answer:

3 cm

Step-by-step explanation:

Given dimensions of the cuboid:

If the total surface area of the cuboid is 112 cm²:

[tex]\begin{aligned}\textsf{Total SA of cuboid}&= 2 (\sf lh +wh + lw)\\\implies 112&=2(10x+2x+10 \cdot 2)\\112&=2(12x+20)\\112&=24x+40\\24x&=72\\x&=3\end{aligned}[/tex]

Therefore, the height of the cuboid is 3 cm.

In a case whereby Kaylie is 6 years old and  Her sister, Amanda is 2x younger. Kaylie is now 36 the, Amanda age will now be expressed as  33 years.

This implies that when  Kaylie is 6 years old  then her  Her sister, Amanda will be 6/2 = 3 years old.

Then we were told again that Kaylie is now 36, then the age of Amanda will now be (36-3)= 33 years

This is because when Kaylie was 6 years old , she was older by her sisiter by just just 3 years, which is still the same when she grown in age again, the 3 years interval is maintained.

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The required value of x is 34° in figure 4, x is 57° in figure 5, x is 81° in figure 6, x is 122° in figure 7, x is 65° in figure 8, x is 54° in figure 9, x is 90° in figure 10, x is 60° in figure 11, and x is 62° in figure 12.

In any equilateral triangle, the three angles are of equal measure and they equal 60 degrees.

As per figure 4,

x° + 56° + 90° = 180

x = 180 - 146

x = 34°

As per figure 5,

x = 57°

As per figure 6,

36 + 90/2 + 180-x = 180

36 + 45 - x = 180 - 180

x = 36 + 45

x = 81°

As per figure 7,

By the property of Equilateral Triangles

⇒  x = 180 - 58

⇒  x = 122°

As per figure 8,

By the property of Isosceles Triangles

x + 115 = 180

x = 180 - 115

x = 65°

As per figure 9,

6 + x + 60 + 60 = 180

x = 180 - 60 - 60 - 6

x = 54°

As per figure 10,

By the property of Equilateral Triangles

60/2 + 60 + x = 180

x = 180 - 60 - 30

x = 90°

As per figure 11,

By the property of Equilateral Triangles

2(30) + 60 + x = 180

x = 180 - 60 - 60

x = 60°

As per figure 12,

28 + 90 + x = 180

x = 180 - 118

x = 62°

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Answer:

2

9c and a

Step-by-step explanation:

Answer:

2, (a and c)

Step-by-step explanation:

The cups of sugar needed is 2.5 cups.

The cups of flour needed is 3.75 cups

The cups of butter needed is 1.25 cups.

Given the information in the question, the ratio of sugar to flour to butter is 1 : 1.5 : 0.5

Cups of sugar needed = (ratio representing sugar / sum of ratios) x total number of cups

Sum of ratios = 1 + 1.5 + 0.5 = 3

Cups of sugar needed = (1 / 3) x 7.5 = 2.5 cups

Cups of flour needed = (ratio representing flour / sum of ratios) x total number of cups

Cups of flour needed = (1.5 / 3) x 7.5 = 3.75 cups

Cups of butter needed = (ratio representing butter / sum of ratios) x total number of cups

Cups of butter needed = (0.5 / 3) x 7.5 = 1.25 cups

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The division expression to find the number of cups of flour Max needs to use if he has only 1 egg is M ÷ N cups of flour.

1 egg = M/N cups of flour.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Let M cups of flour be needed for N eggs.

This can be written as:

N eggs = M cups of flour

Divide both sides by N.

1 egg = M/N cups of flour

Thus,

The division expression to find the number of cups of flour Max needs to use if he has only 1 egg is M ÷ N cups of flour.

1 egg = M/N cups of flour.

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To determine a compound Interest

The above formular is for solving compound interest

Hence the compound interest = 612.10 (nearest cent)

S={7}

1) Let's solve for x, for the given equation :

-x = 6 -3x +8 Add 3x to both sides

3x-x=-3x+3x +6 +8

2x =14 Divide both sides by 2

x= 7

S={7}

And that is the answer

they seem to be right :p

Step-by-step explanation:

Work Shown:

f(x) = -2x+5

f(-9) = -2(-9)+5

f(-9) = 18+5

f(-9) = 23

1. The inequality for the statement is C. f minus 7 over 8 is greater than negative 2 over 3

2. The value of the expression is C. 43 over 24 times j plus 1 over 12.

3. −0.28x − 15.3 = 1.92 will be B. -61.5.

1. The difference between a number and seven eighths exceeds negative two thirds is:

Let the number be f.

This will be:

f - 7/8 > -2/3

2. The expression negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths will be:

= -1/8j + 2/3 - 5/3j + 9/12

= -1/8j - 5/3j + 9/12 - 8/12

= -3/24j - 40/24j + 1/12

= -43/24j + 1/12

3. −0.28x − 15.3 = 1.92

Collect like term

−0.28x = 1.92 + 15.3

-0.28x = 17.22

x = 17.22 /- 0.28

x = -61.5

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The length is 16.6ft and the width is 8.9ft

Area of the rectangular area = Length × width

A = LW … 1

If he wants to have a rectangular area  of turf with length one foot less than 3 times the width, then

L = 3W - 1 … 2

Substitute 2 into 1

A = (2W-1)W

A = 2W^2 - W

Since area = 150sq.ft

150 = 2W^2 - W

2W^2 - W - 150 = 0

Factorize

2W^2 - W - 150 = 0

W = 1±√1+4(300)/2(2)

W =  1±√1201/2(2)

W = 1±34.655/4

W = 35.655/4

W = 8.91375

W = 8.9 (to nearest tenth)

Get the length

L = A/W

L = 150/8.9

L = 16.85

L = 16.6ft

Hence the length is 16.6ft and the width is 8.9ft

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The equation of parabola in vertex form is y=-3(x+2)^2+6

What is parabola and equation of parabola in vertex form?

Parabola is equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.

The equation of parabola in vertex form is

y=a(x-h)^2+k

Given the vertex (-2,6) and (-1,3)

h=-2 and k=6

y=a〖(x+2)〗^2+6

To find the value of a at vertex (-1,3)

Put y = 3 and x = -1

3=a(-1+2)^2+6

3=a+6

a=-3

The equation of parabola is given by y=-3(x+2)^2+6

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Answer:

4

Step-by-step explanation:

2/5 divided by 1/10

Division of fractions

Use copy dot flip

2/5 * 10/1

20/5

4

Answer:

88.6000 = 88.622

Answer:

b=2

z=3

again b=2

d=3

Step-by-step explanation:

don't know what to explain

Answer- 3,315.53007332

Step-by-step explanation:

In this example the compounded is weekly, so the interest rate has to be converted to a weekly interest rate of tex2html_wrap_inline224 .

At the end of the first week, you will have the $1,000 you had at the beginning of the week plus the interest on the $1,000 or tex2html_wrap_inline226 . At the end of the week you will have

displaymath228

Answer:

Step-by-step explanation:

Zero exponent numbers = 1

When you try to multiply an exponent by zero, it equals one.

Negative exponents is just a 1/x

Negative just flips over the equation.

For example, 9^-1

1/9^1

1/9

Answer:

Step-by-step explanation:

Zero Exponent Property: The zero exponent rule states that when a nonzero number is raised to the power of zero, it equals 1.

Example:  x^0 = 1

Negative Exponent Properties: the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice verse. It also describes how many times we have to multiply the reciprocal of the base.

An example of negative exponents is [tex]3^{-2}[/tex].

Answer:

v = -16

Step-by-step explanation:

Move the variable to the left-hand side and change its sign, so it would then be -28 - v = -12

Then move the constant to the right-hand side and change its sign, so it would become - v = -12 + 28

Then you would calculate the sum: - v = 16

After doing so, change the sides on both sides of the equation, v = -16

So, your answer should be v = -16

The proportion of baby boys in the United States that are born with low birth weight is 0.0495

In a set with mean  u and standard deviation σ , the z score of a measure X is given by:

Z= X - u / σ

Z = 2.5- 3.41/ 0.55

Z= -1.6545

Z= -1.65 has a p value of 0.0495

The proportion of baby boys in the United States that are born with low birth weight is 0.0495.

the complete question is

In the United States, the mean birth weight for boys is 3.41 kg with a standard deviation of 0.55 kg. Assume that the distribution of birth weight is approximately normal. A baby is considered of low birth weight if it weighs less than 2.5 kg. What proportion of baby boys in the United States are born with low birth weight

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Answer:

Angle 1 & 2 are both 100 degrees

Step-by-step explanation:

In the picture,

angles on the same side of the line must add up to 180degrees.

Angles directly opposite of each other(same vertices) must be equal.

with parallel lines, angles that are made by the same intersecting line are also equal.

image really helps :( sry its hard to explain in words

The empty table should be completed with the coordinates of the transformed graph after a dilation with a scale factor of 3 as follows;

x              m(x)

4              -2

2              -1

0              0

-2              1

-4              2

The equation of the resulting line in slope-intercept form is y = -0.5x + 3.

Based on the given coordinates of the graph of function f(x), the dilation with a scale factor of 3 from the origin (0, 0) or center of dilation would be calculated as follows:

Point 1 (-2) → Point 1' (-2 × -2) = Point 1' (4).

Point 2 (-1) → Point 2' (-1 × -2) = Point 2' (2).

Point 3 (0) → Point 3' (0 × -2) = Point 3' (0).

Point 4 (1) → Point 4' (1 × -2) = Point 4' (-2).

Point 5 (2) → Point 5' (2 × -2) = Point 5' (-4).

Next, we would translate the graph of function f(x) 3 units up as follows:

Point 1 (-2) → Point 1' (-2 + 3) = Point 1' (1).

Point 2 (-1) → Point 2' (-1 + 3) = Point 2' (2).

Point 3 (0) → Point 3' (0 + 3) = Point 3' (3).

Point 4 (1) → Point 4' (1 + 3) = Point 4' (4).

Point 5 (2) → Point 5' (2 + 3) = Point 5' (5).

Now, we can determine the slope of the transformed graph:

Slope, m = Δy/Δx

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (2 - 1)/(2 - 4)

Slope, m = -1/2 or -0.5

Mathematically, the slope-intercept form of a straight line is given by;

y = mx + c

Where:

At point (2, 2) and y-intercept c = 3, we have:

y = mx + c

y = -0.5x + 3

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Answer:

{-4; -5}

Step-by-step explanation:

just put any integer from set S in place of p and you will know. the inequality is false with -2 and -3, but with other two numbers is true