Question
Solve x ≥ 0 or x ≥ -5 and write the solution in interval notation.

Answer:

Step-by-step explanation:

answer: 50

Okay so we need to find ABC, which is 2x, and we know the angles of a triangle all add up to 180.

To find angle C you must subtract the exterior angle from the total of the line, 180.

C = 180-145

C = 35

So now we have 3 elements, 95, 2x, and 35, and we know they all add up to 180 degrees.

95+35+2x=180

130+2x=180

50=2x

2x is the angle of ABC, so it's 50 degrees

The amount of time I spent tutoring from the tape diagram is 4 hours.

Let x represent one rectangle. Therefore from the tape diagram:

Amount of hours I spent tutoring = x + x = 2x

Amount of hours my friend spent tutoring = x + x + x + x = 4x

Since both me and my friend spent a total of 12 hours, hence:

2x + 4x = 12

6x = 12

Dividing through by 6:

x = 2 hours

Amount of hours I spent tutoring = 2x = 2(2) = 4 hours

The amount of time I tutor is 4 hours.

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The lines are not parallel and the slope of the lines is 3 and intercept is 1

Two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.

In the two equations

2y = 6x+ 3

divide both sides by 2

y = 3x+1

This means that the slope of the line is 3.

And also in equation y = 3x+1. The slope of the line here is also 3.

Though both lines have the same slope but they have thesame y-intercept which is 1. Therefore the two lines are not parallel.

The slope of the equations is 3 and the intercept is 1

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Answer:

In the exact form, it would be 2/3.

(Hope it works!)

Step-by-step explanation:

Answer: [tex]x^{2} +9x+23[/tex]

Step-by-step explanation:

Given equation:

-f(x)+3g(x)

Since the f(x) and g(x) are already given in the problem, all you must do is plug in the values.

[tex]-(-x^{2} -8)+3(3x+5)\\=x^{2} +8+9x+15\\=x^{2} +9x+23[/tex]

The answer is 16/5=3.2

explanation

1.2(0.4-0.9)/(-6) +3.1

simplify the expression:

1.2(0.4-0.9)/-6+3.1

simplified the answer

16/5=3.2

expanded 16/5

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Answer:

sorry but i i don't know the answer

(1) +8,+4,0,+2,+3 = 0 , 2 , 3 , 4 , 8

(2) -1,-11,-5,-0,-12 = -12 , -11 , -5 , -1 , -0

No,  Avery is not interpreting the probability correctly because 0.40 represents probability in the long run over many visits to the site. Therefore, option 'D' is the correct answer.

Probability refers to the possibility that an event will occur. It assesses the certainty of the event. Such as in the scenario given where the probability of a randomly selected visitor to a certain website participating in an online survey is 0.40. Avery claims that for the next five visitors to the site, two visitors will be asked to participate in the online survey. Avery interprets the probability incorrectly it is because 0.40 refers to the probability in the long run over several visits to the site.

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A cylindrical tank is half-full of oil. The cylinder has a base radius of 100 cm. The height of the cylinder is 250 cm than the oil present in the tank is 3926.990 lit.

Given :

The volume of the half cylinder is given by:

[tex]Volume= \frac{1}{2} (\pi r^{2} ) X h\\\\Volume=\frac{1}{2} X(\pi X(100)^{2} ) X 250[/tex]

[tex]Volume = Volume = 3926990.82 cm^{3}[/tex]

[tex]Volume = 3926.990 lit.[/tex]

So, 3926.990 lit. of oil are present in the cylindrical tank.

Answer:

a = -0.05

Step-by-step explanation:

0.2a + 0.06 = -0.05

Step 1: 100 * (0.2a + 0.06 = 0.05)

20a + 6 = 5

Step 2: 20a + 6 - 6 = 5 - 6

20a = -1

Step 3: 20a / 20 = -1/20

a = -0.05

Answer: three angles of the triangle are 24 degrees, 84 degrees, and 72 degrees.

Step-by-step explanation:

Let's call the first angle x.

Then the second angle is x + 60.

And the third angle is 3x.

We know that the sum of the angles in a triangle is always 180 degrees.

We can use this information to set up the following equation:

x + x + 60 + 3x = 180

5x + 60 = 180

5x = 120

x = 24

So the first angle is 24 degrees.

The second angle is 24 + 60 = 84 degrees.

And the third angle is 3x = 3 * 24 = 72 degrees.

Therefore, the three angles of the triangle are 24 degrees, 84 degrees, and 72 degrees.

By factor decomposition and algebra properties, the number √180 is equal to 6√5.

In this problem we find an imperfect square root, that is, a square root whose root is an integer. However, we can simplify the expression by means of algebra properties and by redefining the number inside the root operator as a product of integers. Now we proceed to show the complete steps of the procedure:

First, decompose the number inside the root operator by factor decomposition:

√180 = √(2² · 3² · 5)

Second, simplify the resulting expression by algebra properties concerning roots:

√180 = √2² × √3² × √5

√180 = 2 × 3 × √5

√180 = 6√5

Therefore, the number √180 is equivalent by algebra properties and factor decomposition to 6√5.

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The equation of the line is y=1/3x.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

From the given graph let us take two points through which the line passes.

(-6, -2) and (6, 2)

m=2-(-2)/6-(-6)

m=4/12=1/3

The slope of the line is 1/3.

Now we have to find the y intercept

2=1/3(6)+b

2=2+b

b=0

The equation of line is y=1/3x

Hence, the equation of the line is y=1/3x.

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Answer:

a. The purchase price of the estate is $1,246,500 x 95% = $<<124650095.01=1182975>>1,182,975.

b. The amount of the down payment is $1,182,975 x 30% = $<<118297530.01=354452.5>>354,452.5.

c. The amount of the mortgage loan is $1,182,975 - $354,452.5 = $<<1182975-354452.5=828492.5>>828,492.5.

Step-by-step explanation:

Answer:

x = 22.5

Step-by-step explanation:

Similar figures have proportional side lengths

[tex]\frac{12}{18}[/tex] = [tex]\frac{15}{x}[/tex]            [tex]\frac{12}{18}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]\frac{2}{3}[/tex] = [tex]\frac{15}{x}[/tex]  

2 x 7.5 = 15, so 3  x 7.5 = 22.5

x = 22.5

The blue car has an equation of y = 1/6x + 1/2

From the question, we have the following parameters that can be used in our computation:

Cars = Blue and Red cars

For the red car, we have

y = -6x + 1/2

The equation of a line can be represented as

y = mx + c

Where

slope = m

By comparing the equations, we have:

m = -6

The blue car and the red car are perpendicular to one another

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the blue car is 1/6

i.e. m = 1/6

Recall that:

The equation of a line can be represented as

y = m(x - x1) + y1

Where

slope = m = 1/6

(x, y) = (0, 1/2)

So, we have

y = 1/6 * (x - 0) + 1/2

This gives

y = 1/6 * (x) + 1/2

Evaluate

y = 1/6x + 1/2

Hence, the equation of the blue car is y = 1/6x + 1/2

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The system of equations are A = 8x³ and B = 2x³ and difference of the two equations is C = 6x³

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the difference of the two expressions be C

Let the first equation be represented as A

Now , the value of A = ( 2x )³

On simplifying the equation , we get

A = ( 2x )³   be equation (1)

A = ( 2 )³ ( x )³

A = 8x³

And , let the second equation be represented as B

The value of B = 2x³   be equation (2)

Now , dividing equation (1) by equation (2) , we get

A/B  be equation (3)

Substituting the values in the equation , we get

A/B = 8x³/2x³

A/B = 8/2

A/B = 4

Multiply by B on both sides of the equations , we get

A = 4B

So , 8x³ = 4 ( 2x³ )

The difference between the two expressions C = 8x³ - 2x³ = 6x³

Therefore , the value of C is 6x³

Hence , the system of equations are solved

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The value of 92°C to Fahrenheit will be 197.6°F.

In Mathematics, 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.

Since the function F(C)=1.8C+32 represents Fahrenheit, F, as a function of the temperature in Celsius,.

Therefore, 92°C to Fahrenheit will be:

= (1.8 × 92) + 32

= 197.6°F

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the total cost to fill up half of the tank will be $20.25.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

For 500 miles the car consumes 60 gallons of gas.

The capacity of the tank is 13.5 gallons.

Filling up half of the tank will require 6.75 gallons of gas.

The cost of a gallon of gas is $3.

So the total cost will be 6.75*3 = $20.25

Hence, the total cost to fill up half of the tank will be $20.25.

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Hello Dear,

Could you send a better explained question?

Thanks!

On solving the provided question we can say that - probability of P(A B) = P(A) + P(B) - P(A B)= 70%

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.

P(A)= 60%, P(B) = 30%

P(A B) = 20%

P(A B) = P(A) + P(B) - P(A B)= 70%

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39) a and b here are Adjacent Angles.

40) a and b here are Adjacent Angles.

41) a and b here are Complementary Angles.

42) a and b here are Alternative Interior Angles.

The following requirements must be met for two angles to be adjacent.

On the other hand, when a transversal connects two coplanar lines, alternate interior angles are generated. They are on the inside of the parallel lines, but on the outside of the transversal.

It is worth noting that Alternate Interior Angles are congruent.

Mathematically, two angles are called complementary IF their measures SUM to 90 degrees.

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The positive solution for the number is 6 as the expression will result to a quadratic equation.

A quadratic equation is a second-order polynomial equation in a single variable x in the form ax² + bx + c = 0. with a ≠ 0.

We Shall represent the unknown number with the letter x so that we have:

x² - 18 = 3x

x² - 3x - 18 = 0 {a quadratic equation}

x² + 3x - 6x - 18 = 0 {expand the middle term}

x(x + 3) -6(x + 3) = 0 {factor out x + 3}

(x - 6)(x + 3) = 0

x - 6 = 0 or x + 3 = 0

x = 6 or x = -3

we have two solutions for the quadratic equation and 6 is the positive solution

Therefore, the positive solution for the quadratic equation is 6

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Answer:

  9x -4y = -44

Step-by-step explanation:

You want the equation of the line through (-4, 2) and perpendicular to the line through (-4, 6) and (5, 2).

The equation of a line through (h, k) and perpendicular to the line through (x1, y1) and (x2, y2) can be written as ...

  (x2 -x1)(x -h) +(y2 -y1)(y -k) = 0

Using the given points, this becomes ...

  (5 -(-4))(x -(-4)) +(2 -6)(y -2) = 0

  9(x +4) -4(y -2) = 0

Expanding this gives the general form equation:

  9x -4y +44 = 0

Subtracting the constant gives the standard form equation:

  9x -4y = -44

Answer:

268 ounces

Step-by-step explanation:

13.40 in pennis is 1,340 pennies. If 10 pennies weigh 2 ounces then each penny weighs .2 ounces. So then all you have to do is 1,340×.2 which is 268. So, a bunch of pennies worth $13.40 weigh 268 ounces. :)

Answer:

268 ounces

Step-by-step explanation:

$13.40 = 1340 penny, so, 1340/10*2 is 268

The solution set for the inequality given in the task content as required is; w > -1.2.

The graph of the inequality on the number line is as represented in the attached image.

It follows from the task content that the graph of the inequality w - 0.9 > -2.1 as required is to be determined.

Since the given inequality is; w - 0.9 > -2.1.

The inequality can be solved by first adding 0.9 to both sides of the inequality; Additive property of inequalities;

w - 0.9 + 0.9 > -2.1 + 0.9.

w > -1.2.

On this note, the correct ray is that which points rightwards with an open ring (indicating the > sign).

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The solution of the inequality is graphed in the number line and attached

Inequality, is a mathematical statement expressing an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

Solid dot and hollow dot in inequality

A region on one side of a line can be used to graphically show an inequality.

For the purpose of indicating that a line is not a part of the region, inequality plots that employ the < or > symbols have a hollow dot

Plotting a solid dot indicates that an inequality that uses the symbol  ≤ or ≥ is included in the region.

In the problem, w - 9 > -2.1 will use a hollow dot

w - 0.9 > -2.1

w > -2.1 + 0.9

w > -1.2

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