⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ a(1)=20 a(n)=a(n−1)−17 ​ third term

The possible values of x for the given triangle ABC are 0.75<x<8.

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Given that, m∠A < m∠B < m∠C.

a) From triangle ABC,

BC<AC<AB

2x+3<6x<5x+8

Now, 2x+3<6x

Subtract 2x on both the sides of an inequality, we get

3<4x

Divide 4 on both the sides of an inequality, we get

0.75<x

Here, 6x<5x+8

Subtract 5x on both the sides of an inequality, we get

x<8

So, possible values of x are 0.75<x<8

b) From triangle ABC,

BC<AC<AB

3x+1<4x+8<7x+2

Now, 3x+1<4x+8

Subtract 3x on both the sides of an inequality, we get

1<x+8

Subtract 8 on both the sides of an inequality, we get

-7<x

Here, 4x+8<7x+2

Subtract 4x on both the sides of an inequality, we get

8<3x+2

Subtract 2 on both the sides of an inequality, we get

6<3x

Divide 3 on both the sides of an inequality, we get

2<x

So, possible values of x are -7<x<2

Therefore, the possible values of x for the given triangle ABC are 0.75<x<8.

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Answer:

I think it is D, but I am not sure.

Step-by-step explanation:

Have a nice day!

Answer: 2i+5

Step-by-step explanation: so (-2+14i)-(-7+12i)

Multiply (-1) to 7 and -12

Then: -2+14i+7-12i

Common numbers: (7-2) and 14i-12i

Then you get 2i+5

The sum of the measures of the four interior angles of a quadrilateral is always 360°

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.

Given is, A quadrilateral is a polygon with four sides. Consider the quadrilateral and the dashed segment

If we draw one diagonal to quadrilateral we will get two triangles i.e. △ABC and △ACD and we know that sum of the angles of a triangle is 180°

Sum of angles of quadrilateral ABCD = sum of angles of △ABC + sum of the angles △ACD

= 180° + 180°

= 360°

If we take examples of a square or a rectangle, we know that they are also a quadrilateral and also their each angle is right angle, i.e. 90°

Therefore, the sum of their interior angles will = 90×4 = 360°

Hence, we can say that the sum of the measures of the four interior angles of a quadrilateral is always 360°

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Answer:144

Step-by-step explanation:

Answer:

10 gallons

Step-by-step explanation:

Answer:

Degree: 4

Number of terms: 4

Leading Coefficient: 4

Constant: -20

Step-by-step explanation:

1) Expand (x+3)(x-4) into x^2 - x - 12

2) Combine like terms; equation becomes 4x^4 + x^2 + 4x - 20

3) Degree is looking for the highest exponent; in this case, it's 4

4) Number of terms is looking for how many terms there are in this equation; there are 4 terms

5) Leading Coefficient is looking for the coefficient of the term with the highest exponent, so the answer is 4

6) Constant is looking for the term without a variable

Hope this helps!

Answer: 1.55

Step-by-step explanation:

The x-intercept of the graph of y = x² - 4x + 4 is x = 2.

By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the y-intercept occurs when the x value is 0. Y = B when x = 0, since mx = 0 at this point.

We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.

The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.

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The slope of 5x 2y =- 3 is -5/2.

To find the slope of the equation 5x 2y =- 3, we need to rearrange it into the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).

We start by rearranging the equation 5x 2y = -3 so that all the terms with y are on one side and all the terms with x are on the other side.

5x -2y = -3

Now, we divide both sides by -2 to isolate y.

-5x/2 = y + 3/2

Finally, we subtract 3/2 from both sides to get the equation in the slope-intercept form.

-5x/2 = y - 3/2

Therefore, the slope of the equation 5x 2y = -3 is -5/2.

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LM = √(8² + 6²) = √(64 + 36) = √100 = 10 yd

Area = 2 × (1/2) × 6 × 8 = 48 yd²

Answer:

m=10

Step-by-step explanation:

divide 6m by 6 and 60 by 6 and you get m=10

Answer:

10

Step-by-step explanation:

divide both sides

6m÷6=60÷6

m=60÷6

m=10

A log 10 transformation is a mathematical operation that is used to change the scale of a variable in a data set. The log 10 transformation is applied to the variable by taking the base-10 logarithm of each value in the data set. The result of this operation is a new variable that is on a different scale than the original variable.

The log 10 transformation is commonly used in statistics and data analysis to normalize data that is on a large scale, such as data that spans several orders of magnitude. By applying the log 10 transformation, the data is transformed into a more manageable scale that is easier to work with and analyze.

The log 10 transformation can also be used to stabilize the variance of a variable, this is particularly useful when the data is positively skewed. The log 10 transformation can also be useful for data that has a multiplicative relationship, for example, population growth or stock prices.

It is important to note that the log 10 transformation can only be applied to data that is positive and greater than zero because the logarithm of zero or a negative number is not defined.

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Answer:

/ heads

1

\ tails

/ heads

2

\ tails

/ heads

3

\ tails

/ heads

4

\ tails

Answer:

d. 3^108

Step-by-step explanation:

Just multiply 6 and 18.

Answer: 12.96

Step-by-step explanation: you should multiply 12 * 0.08 = 0.96

then just add 0.96 + 12 = 12.96

In 100 students, Science was rated favorably by 25 students, while math received ratings from 41 students. 19 of the students polled indicated that they approved of both. 16 students are the complement of math.

The phrase "complement" is typically used to describe a subset of a set that does not include another subset. The entire original set is obtained by adding the complement and its taking. The complement of a set is typically represented by the notations. The complement of a set is the set that includes all the elements of the universal set that are not present in the given set.

The Total number of students were 100

Students who like maths were 41

Students who like science were 25

Students who like both maths and science were 19

Students who does not like maths are 41-25 = 16.

So the students who are the complement of math are 16.

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Answer:

To find the answer, use the Pythagorean theorem.  It would be the last choice.

Step-by-step explanation:

The formula for the Pythagorean theorem is:

a^2 + b^2 = c^2.

a = 10

b = 15

c = x

Make your equation.  

10^2 + 15^2 = x^2.

Hope this helps!

Answer:

62%

Step-by-step explanation:

First, you got the formulate: 1-27%-11%

Second, calculate the difference: 0.73-0.11

Third, the sum is 0.62

Then you multiply 0.62 ×100\100

Write a single fraction: 0.62×100\100

Calculate the product or quotient: 62\100

100% to a percentage: 62%

That is your answer 62%

The area of the given circle in terms of π is 36π cm².

The area of the circle is equal to the product of the square of the radius of the circle and pi.

Area = πr²

where 'r' is the radius of the circle

Given that the diameter of the circle is 12 cm, we can find the radius by dividing the diameter by 2:

Radius = Diameter / 2

Radius = 12 cm / 2

Radius = 6 cm

Now, we can substitute the radius value into the formula:

Area = π x (6 cm)²

Area = π x 36 cm²

Therefore, the area of the circle in terms of π is 36π cm².

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The odds against exactly 5 cars passing over the bridge in that time are given as follows:

5.25:1.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

An odd, conversely, is calculated as the division of the number of desired outcomes by the number of non-desired outcomes.

The probability(in favor) that 5 cars will pass over a small bridge in a 4-minute period is 0.16, hence the odds are given as follows:

0.16 : (1 - 0.16) = 0.16 : 0.84.

To obtain the odds against, we must exchange the desired and the non-desired outcomes, meaning that the odds against is then given as follows:

0:84 : 0.16.

As the quotient of 84 by 16 is of 5.25, the simplified odd is given as follows:

5.25 : 1.

Meaning that it is 5.25 times more likely that exactly 5 cars do not pass over the bridge over that time rather that they do pass.

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FG is an abbreviation for "Femtogram," which is a unit of mass equal to one quadrillionth of a gram (10^-15 g).

An exclamation is an emphatic expression of emotion or emphasis. It is often used to express strong feelings such as surprise, joy, excitement, anger, or disbelief. Exclamations are also used to emphasize a point or give an opinion. Exclamations are most commonly used in spoken language, particularly in informal conversations. They can also be used in written language, but they should be used sparingly. Exclamations are often followed by an exclamation point, although they can also be followed by a question mark or an ellipsis. Exclamations can be used to add emphasis or emotion to a statement, making it more powerful and memorable.

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Answer:

I believe it is 240 ft

Step-by-step explanation:

Answer:

10 students are wearing shirts other than blue or white.

Step-by-step explanation:

1 10 of the students in the classroom are wearing blue shirts, which is 1/1020 = <<1/1020=2>>2 students.

2 5 of the students in the classroom are wearing white shirts, which is 2/5*20 = 8 students.

Altogether, 2+8 = <<2+8=10>>10 students are wearing either blue or white shirts.

There are 20 students in the classroom, so 20-10 = <<20-10=10>>10 students are wearing shirts other than blue or white.

Answer:

f(-7) = -33

Step-by-step explanation:

f(x) = − x² - 4x – 12

f(-7) = ?

We put -7 in for x and solve

f(-7) = -(-7)^2 -4(-7) - 12

f(-7) = -(49) + 28 - 12

f(-7) = -49 + 28 - 12

f(-7) = -33

Answer:

-8

Step-by-step explanation:

7-6x+3x

You have to replace x for a 5.

7-6(5)+3(5)

After this you would multiple all of it.

7-30+15

Then add

7+15=22

-30+22=-8

Answer:

[tex] \sf \: 7 - 6x + 3x = - 8[/tex]

Step-by-step explanation:

Now we have to,

→ find the value of expression.

The expression is,

→ 7 - 6x + 3x

→ using (x = 5)

Let's solve the expression,

→ 7 - 6x + 3x

→ 7 - 6(5) + 3(5)

→ 7 - 30 + 15

→ 7 - 15

→ -8 => final answer

Hence, the answer is -8.

Answer:

4x3 12 12 3/5 0,5 12,32,98/37