Graph the inequality on a number line:
x [tex]\geq[/tex] 11

The solution to the inequality is x > 3

The number line that represent the solution set will be:

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. The correct option is the second option

From the question, we are to determine the number line that represents the solution set for the given inequality

The given inequality is

3(8 – 4x) < 6(x – 5)

First, we will solve the inequality

3(8 – 4x) < 6(x – 5)

Clear the brackets

24 - 12x < 6x - 30

Collect like terms

24 + 30 < 6x + 12x

54 < 18x

Divide both sides by 18

3 < x

∴ x > 3

Hence, the number line that represent the solution set will be:

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. The correct option is the second option

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Based on the information, Christian would have $5525.5 of annuity.

According to given information, the number of coffees per week is 3 then, per month is 3x4 = 12

For each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54

Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133

n = number of payments = 8 x 12 = 96

We can use the formula for finding the future value as below

FV = C x [ ( 1 + r )n-1 ] / ( r )

FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)

= 54 x [ (1.13609 - 1)] / (0.00133)

= 54 x 0.13609 / (0.00133)

= 54 x 102.3233

= 5525.5

Therefore Christian would have $5525.5 of annuity.

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The solution graphed below represents the y>2 and [tex]y\leq x[/tex] system of linear inequalities.

When a polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1, this is an example of a linear inequality, which is an inequality involving at least one linear algebraic expression.

Expressions that compare two linear expressions using inequality symbols are referred to as linear inequalities.

Addition, subtraction, multiplication, and division are the four types of operations that can be performed on linear inequalities.

Equivalent inequality refers to linear inequalities with the same solution.

From the given graph, it can be seen that the line parallel to the x-axis represents y>2 and the other inclined line represents [tex]y\leq x[/tex] .

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Answer:

8/15 cm

Step-by-step explanation:

Volume = length x width x height

Volume = 4/5 cm x 1/5 cm x 10/3 cm

Volume = 4/25 cm x 10/3 cm

Volume = 40/75 cm = 8/15 cm

Brainliest, please :)

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

Volume of prism = [tex]l[/tex] · [tex]w[/tex] · [tex]h[/tex]

which means

[tex]\frac{10}{3} *\frac{4}{5} *\frac{1}{5}[/tex]

which is [tex]\frac{8}{15}[/tex] by using cross simplify  

Hope this helps ;D

The width of rectangle is 15 feet and the length of rectangle is 23 feet.

According to the statement

Width of rectangle = x

Length of rectangle = x+10

Area of rectangle = 345 sq-feet.

we know that the area of rectangle is

Area of rectangle = L*W

Substitute the values in it then

345 = (x) (x+8)

345= (x)^2 + 8x

(x)^2 + 8x - 345 = 0

By factorisation

(x-15) (x+23) = 0

So, width of rectangle is 15 feet and the length of rectangle is 23 feet.

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The perimeter of the rectangle that has a length of 5 3/5 inches, and the width as half of its length is 16.8 inches. Hence, option A is the right choice.

The perimeter of any object is the total sum length of its boundary.

The perimeter of a rectangle with length l units and width w units is given as:

Perimeter = 2(l + w) units.

In the question, we are given that the length of a rectangle is 5 3/5 inches and its width is half of its length. We are asked to find the perimeter of the rectangle.

The length of the given rectangle (l) = 5 3/5 inches = 28/5 inches.

The width of the given rectangle (w) = Half of length = 1/2 * 28/5 inches = 14/5 inches.

Thus, the perimeter of the rectangle = 2(l + b) = 2(28/5 + 14/5) inches,

or, the perimeter = 2(42/5) inches,

or, the perimeter = 84/5 inches,

or, the perimeter = 16.8 inches.

Thus, the perimeter of the rectangle that has a length of 5 3/5 inches, and the width as half of its length is 16.8 inches. Hence, option A is the right choice.

The given question is incorrect. The correct question is:

"The length of a rectangle is 5 3/5 inches. the width of the rectangle is half of its length. what is the perimeter of the rectangle?

(a) 16.8 inches

(b) 8.4 inches

(c) 2.8 inches

(d) 15.68"

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Answer:

x^3+6x^2+9x

if you are trying to find the original function

if not, and you are trying to find the zeros is

x=-3

x=0

Step-by-step explanation:

multiply x(x+3)

x^2+3x

then multiply that by x+3 and that should give you the answer

Answer:

x = 0 or x = -3 or x = -3

Step-by-step explanation:

set up factors as:

x = 0

x + 3 = 0

x + 3 = 0

the first will remain as x = 0 while the others become x = -3 once subtracted

i hope this helped!

Answer: See the attached image below for the filled in table.

=========================================================

Explanation:

The domain is the set of all allowed x inputs of a function.

The term "radicand" refers to the stuff under the square root.

We cannot have a negative number under the square root. Therefore, the radicand must be 0 or larger.

The first function must have [tex]4x+6 \ge 0[/tex] which becomes [tex]4x \ge -6[/tex] and leads to [tex]x \ge -\frac{6}{4}[/tex] aka [tex]x \ge -\frac{3}{2}[/tex]

So x = -3/2 is the smallest input allowed. Which is where the interval notation of [tex]\left[-\frac{3}{2}, \infty)[/tex] comes from. It's the interval spanning from -3/2 (inclusive) to infinity. This represents the set of all possible x inputs of the first function.

--------

Follow this same idea for problem 2. The steps would be something like this:

[tex]-20x - 6 \ge 0\\\\-20x \ge 6\\\\x \le \frac{6}{-20}\\\\x \le -\frac{3}{10}\\\\[/tex]

The inequality sign flips because we divided both sides by a negative number. That then leads to the interval notation of [tex](-\infty, -\frac{3}{10}\big][/tex]

The interval spans from negative infinity (exclusive) to -3/10 (inclusive).

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Problem 3 would have these steps

[tex]5x-16 \ge 0\\\\5x\ge 16\\\\x\ge \frac{16}{5}\\\\\big[\frac{16}{5}, \infty)\\\\[/tex]

No sign flip happens since we divided both sides by a positive number.

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Lastly, here are the steps for problem 4

[tex]20+6x \ge 0\\\\6x \ge -20\\\\x \ge -\frac{20}{6}\\\\x \ge -\frac{10}{3}\\\\\big[-\frac{10}{3}, \infty)[/tex]

Don't forget to use the square bracket to include the endpoints mentioned. We always use curved parenthesis for either infinity because we can't ever reach infinity. In a sense, we "approach" infinity.

Once again, all of this is summarized in the filled out table shown below (attached image). Feel free to ask any questions if they come to mind.

Based on this information, William's blood type could be either B or O.

What is Segregation of alleles?

What is genotype vs phenotype ?

How does genotype influence phenotype ?

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Pi is a Greek number that plagues mathematics, physics, and circles to the point where pi-fatigue is actually a thing. Pi is an infinite number, however it will henceforth only be written as 3.14159.

I have two solutions to your problem.

The first, and probably less appealing answer, but most used everywhere, would be to use a calculator.

But if you find yourself without a calculator at the ready, I hope you’re prepared to math quite dubiously.

Finding the square power, inverse of a radical, or whatever is multiplied by itself to equal 3.14159, is the second step. We must start someplace to start our attempt, and that place is 3.14159. Since 1 squared equals 1 and 2 squared equals 4, our result, expressed in decimal form, is larger than 1 but less than 2. After that, we just start divising and multiplying the decimals again until we have calculated the square root of pi.

TL;DR

1.7724531 is the approximate square root of pi.

Answer:

1.77245385091

Step-by-step explanation:

The volume of the cylinder is 301.593 cubic centimeter.

Volume exists as a scalar quantity representing the amount of three-dimensional space enclosed by a sealed surface. For example, the space that a substance or 3D shape inhabits or contains. The volume stands often quantified numerically utilizing the SI-derived unit, the cubic meter.

A cylinder contains traditionally been a three-dimensional solid, one of the most essential curvilinear geometric shapes. Geometrically, it has been regarded as a prism with a circle as its base.

The dimensions of the cylinder is given as - 8 cm and 12 cm .

The formula of the volume of the cylinder is given as -

V = π * (8) * (12)

Thus the volume is = 96π ≈ 301.593 cubic centimeter.

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Answer:

intimately there are three types of angles a cute angle and angle between zero and 90° right angle and angle 90 degree angle of two angle and angle between 90 and 180 degree

Answer:

Step-by-step explanation:

$135 is less than or equal to 2 nights at the hotel (h)

135</=2h

The tax due for the single taxpayer whose income is as described is; $14,459.5.

It follows from the task content that the tax due for a single taxpayer whose taxable income is; $65,725 is to be determined.

Since, the taxable income falls between the range; $40,526 to $86,375, 22% of the income is the tax due and hence, the tax due can be evaluated as follows;

= (22/100) × $65,725

= 14,459.5

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The equations have the same solution are 2.3p – 6.5p + 0.01p =– 4  + 10.1 and -4.19p = 6.1

This are equations that has a leading degree of 1. GIven the expression as shown below

2.3p – 10.1 = 6.5p – 4 – 0.01p

Collect the like terms

2.3p – 6.5p + 0.01p =– 4  + 10.1

Simplify

-4.19p = 6.1

Hence the equations have the same solution are 2.3p – 6.5p + 0.01p =– 4  + 10.1 and -4.19p = 6.1

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Answer:

A because of the average length showed

0.129 is the change in the growth rate of company.

According to statement

we have to find and compare the growth rate of the company weekly.

we use the growth rate formula is

GROWTH RATE = present - past / present

Substitute the values in this formula

1st week = 220-190 / 220

1st week = 0.136

2nd week = 252-220 / 252

2nd week = 32 / 252

2nd week = 0.126

3rd week = 290-252 / 290

3rd week = 0.131

4th week = 337 - 290 / 337

4th week = 0.139

5th week = 380 - 337 / 380

5th week = 0.113

6th week = 440 - 380 / 440

6th week = 0.136

7th week = 505 - 440 / 505

7th week = 0.128

Now we find the average value of growth rate

Average = 0.136 + 0.126+0.131+0.139+0.113+0.136+0.128 /7

Average = 0.909/7

Average = 0.129

So, 0.129 is the change in the growth rate of company.

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The expression equivalent to -7(y - 2) is -7y + 14

Given the expression; -7(y - 2)

We expand the expression by multiplying each element inside the parentheses the element out i.e -7

-7(y - 2)

[ -7 × y and -7 × -2 ]

-7y + 14

Therefore, the expression equivalent to -7(y - 2) is -7y + 14.

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The probability value become is 2c/(N-1).

According to the statement

we have given that If P and Q are both neighbors of R, and by considering unstructured network in which each node randomly chooses c neighbors.

we have to find that the probability of neighbors that they are also neighbors of each other.

So, For this purpose to find the probability is

Consider a network of N nodes unstructured and let

If each node chooses c neighbors at random,

then the probability that P will become by choose Q, or Q chooses P is roughly 2c/(N-1).

And the probability outcomes value become is 2c/(N-1).

So, The probability value become is 2c/(N-1).

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Using the binomial distribution, the mean number of balls you would expect him to catch is of 7.2.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

For this problem, the parameters are:

n = 8, p = 0.9.

Hence the mean is:

E(X) = np = 8 x 0.9 = 7.2.

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Answer: -8

Step-by-step explanation:

When x = 5, f(x) = -8.

The value of the function f(5) = -8.

We have,

The concept used to find the value of f(5) is function evaluation.

In this case, we are given a function represented by a table with x and f(x) values.

To evaluate the function at a specific value, such as f(5), we look for the corresponding x-value in the table and determine the corresponding f(x) value.

In this example, we found that when x = 5, f(x) is -8 by looking at the table provided.

To find the value of f(5), we need to look at the table and find the corresponding value of the function when x = 5.

From the given table, when x = 5, f(x) is -8.

Therefore,

The value of the function f(5) = -8.

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A. Up

Parabolas are graphs that make U-shapes and are formed from quadratic equations.

Vertical Parabolas

There are 2 different types of parabolas: vertical and horizontal.

If the x-value is squared, then the parabola is vertical. So, this graph must open up or down.

Positive A-Value

The a-value is the coefficient before the squared term. In a vertical parabola, the graph opens up if the a-value is positive. On the other hand, the graph opens down when the a-value is negative.

In this case, the graph is a vertical parabola that opens up. This means that the range will have a minimum value but no maximum.

Step-by-step explanation:

Set up a system of equations,

Consective numbers appear before and after so we need two number such that

[tex]x + 1 = y[/tex]

or

[tex]x - y = - 1[/tex]

Likewise, we also know that

[tex]4x + 3y = 157[/tex]

Let multiply the top equation by 3.

We get

[tex]3x - 3y = - 3[/tex]

Then we add the bottom equation to that

[tex]4x + 3y = 157[/tex]

[tex]7x = 154[/tex]

[tex]x = 22[/tex]

Then we plug in x for the original equation,

[tex]22 + 1 = 23[/tex]

So the two numbers are 22,23.

A'(-6, -10), B'(-3, -13) and C'(-5, -1) are the vertices of the ΔA'B'C' given that the vertices of the ΔABC are A(-6, -7), B(-3, -10) and C(-5, 2) and translation rule (x, y) → (x, y-3) is applied. This can be obtained by putting coordinate values of vertices in the translation rule and then vertices of ΔA'B'C' are found.

Given that,

In ΔABC, the vertices are A(-6, -7), B(-3, -10) and C(-5, 2)

The translation rule that must be applied is ⇒ (x, y) → (x, y-3)

By applying the translation rule to each of the vertices of ΔABC we get,

That is,

These new coordinates are the vertices of  ΔA'B'C'.

Hence A'(-6, -10), B'(-3, -13) and C'(-5, -1) are the vertices of the ΔA'B'C'.

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Answer:

8

Step-by-step explanation:

51 + 4x + 7 = 90 - combine like terms

58 + 4x = 90 - subtract 58 from each side

4x = 32 - divide both sides by 4

x = 8

Answer:

x = 8

Step-by-step explanation:

The red square indicates that there is a right triangle. All right triangles have angles equal to 90°. Therefore, we can find the value of "x" by setting the sum of both the interior angles to 90°.

(4x + 7) + 51° = 90°                                  <----- Sum of both angles is 90°

4x + 58 = 90°                                          <----- Combine 58 and 7

4x = 32                                                    <----- Subtract 58 from both sides

x = 8                                                        <----- Divide both sides by 4

Answer:

36 in.

Step-by-step explanation:

find the area of the rectangle and triangle first

area of rectangle = length x height

aR = (6 + 6) x 5

aR = 12 x 5

aR = 60

area of triangle = base x height x 1/2

aT = (6 + 6) x 4 x 1/2

aT = 12 x 4 x 1/2

aT = 24

now, to find the area of the shaded area subtract the triangle from the rectangle

area = rectangle - triangle

a = 60 - 24

a = 36

Answer:

Step-by-step explanation:

$240 = 100

$48 = X

100 * 48 = 240X

4800 / 240 = 240X / 240

X = 20

She spent 20% on the dress

Answer:

x = 0, y = 1

Step-by-step explanation:

2x + 6y = 6 → (1)

x - 3y = - 3 ( add 3y to both sides )

x = 3y - 3 → (2)

substitute x = 3y - 3 into (1)

2(3y - 3) + 6y = 6 ← distribute parenthesis and simplify left side

6y - 6 + 6y = 6

12y - 6 = 6 ( add 6 to both sides )

12y = 12 ( divide both sides by 12 )

y = 1

substitute y = 1 into (2)

x = 3(1) - 3 = 3 - 3 = 0

solution is x = 0 , y = 1