When x 12" to the "-x^3+3x^2+5x+1"

The sum of squares of two sides is equal to the square of the third side.

Finding the Third Side of a Triangle with Two Sides

Let's assume that the triangle is right-angled, as the third side of a right-angled triangle can only be found when the other two sides are known.

A right-angle triangle is what?

This particular sort of triangle adheres to the Pythagoras theorem and may be calculated using the trigonometry tool.

We are aware that the right-angled triangle follows Pythagoras' Theorem.

According to the Pythagorean Theorem, the third side's square equals the sum of the first two sides' squares.

More about the right-angle triangle link is given below.

brainly.com/question/3770177

#SPJ4

The complete question should be:

What is the length of 3rd side of a triangle?

In 5 years the population will be fewer than 13000.

What is percentage ?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. Percentage, a relative value showing hundredth parts of any amount, is a relative measure that indicates how many questions on a test you correctly answered out of 100 (75/100). Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified percentage.

20000( 1 - 9% )^5

≈ 12481

12481 < 13000

ie 5 years

To learn more about percentage from the given link  

https://brainly.com/question/24877689

#SPJ4

The volume of the composite solid round to the nearest tenth is 83.7 inches³.

Volume of a three dimensional shape is the space occupied by the shape.

There are 2 hemispheres and a cylinder in the given composite solid.

Volume of hemisphere =  [tex]\frac{2}{3}[/tex] π r³, where r is the radius.

Volume of the cylinder = π r² h, where r is the radius and h is the height.

Here r = 2 inches and

h = 8 - 4 = 4 inches

Volume of hemisphere = [tex]\frac{2}{3}[/tex] π × 2³

                                      = [tex]\frac{16}{3}[/tex] π

There are two hemispheres.

Volume of two hemispheres = 2 × [tex]\frac{16}{3}[/tex] π =  [tex]\frac{32}{3}[/tex] π

Volume of the cylinder = π r² h

                                      = π × 2² × 4

                                      = 16 π

Volume of the composite Solid = [tex]\frac{32}{3}[/tex] π + 16 π

                                                    = [tex]\frac{80}{3}[/tex] π

                                                    = 83.7 inches³

Hence the volume of the composite solid is 83.7 inches³.

Learn more about Volume here :

https://brainly.com/question/1578538

#SPJ1

The difference in ages of Marcelle and Megan is 95/12 as an improper fraction and as a mixed number is 7 whole number and the fraction 11/12.

We shall convert the fractions to have similar denominators and simply apply subtraction for the numerators as follows:

Marcelle's age = 15 whole number, 1/2

Marcelle's age = 31/2

Megan's age = 7 whole number, 7/12

Megan's age = 91/12

LCM of 2 and 12 is 12 so;

Marcelle's age = 31/2 × 12/12

Marcelle's age = 186/12

difference in their age (186 - 91)/12

difference in their age = 95/12

Therefore, the difference in the ages of Marcelle and Megan is the fraction 95/12 or as a mixed number is 7 whole number and the fraction 11/12

Know more about fraction here:https://brainly.com/question/11562149

#SPJ1

It is Justified that P and Q are different point.

The coordinate plane where a location of a point is represented in the form of X and Y coordinate pair, is termed as cartesian plane. In this plane two reference axes are used which are perpendicular to each other.

In the question, two-point P (3, 2) and Q (2, 3) are given. As per the cartesian coordinate system a location of a point is represented by a pair of numerical terms. The first numerical terms denote the X coordinate of the point, and the next terms refers the Y coordinate of that point.

Therefore, P and Q are two different points on the cartesian plane. The point p (3, 2) where 3 is the X coordinate and the distance from Y axis is 3 and 2 is the Y coordinate and distance from X axis is 2.

Similarly for the point Q (2, 3), 2 denotes the X coordinate of the point Q and 3 is the Y coordinate.

To learn more about coordinate system visit:

https://brainly.com/question/11657509

#SPJ4

Answer:

[tex]\displaystyle x < \frac{12}{7}[/tex]

Step-by-step explanation:

This is an inequality, not an equation. Notice the sign is a "less than" sign and not an "equal" sign. You still solve it like a normal equation, however:

[tex]\displaystyle 7x-2 < 10\\\\\rightarrow 7x < 12\\\\\rightarrow x < \frac{12}{7}[/tex]

Answer:

? = 74°

Step-by-step explanation:

• in a parallelogram, consecutive angles sum to 180° , that is

? + 106° = 180° ( subtract 106° from both sides )

? ( ∠ G ) = 74°

The required value of x is 17 for the given equation 11 = x - 6.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

11 = x - 6

We can determine the value of x by adding 6 to both sides of the equation.

As per the question, we have

⇒ 11 = x - 6

⇒ 11 + 6 = x - 6 + 6

⇒ x = 11 + 6

Apply the addition operation, and we get

⇒ x = 17

Therefore, the required value of x is 17.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ1

Answer:

Step-by-step explanation:

i don't know if this help :/

Answer:

that is the persons username I got it from

Step-by-step explanation:

3 and 7

6 and 14

9 and 21

12 and 28

15 and 35

Step-by-step explanation:

If the two numbers they give you are 9 and 21, then the cranberry's are 3 ounces and the apples are 7 fliud ounces, then you can divide and multiply them to your will.

The area of a square with a length of ((n ^ 3 * m ^ 4)/(nm)) ^ 2 inches is n^6*m^8/(nm)^4.

In geometry, a square is a flat shape with four equal sides and four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).

The general formula to find area of square is A=a^2 where is a is length of sides.

The area of a square is given by:

A= l^2 where l is the length

So l= n^3*m^4/(nm)^2

A=l^2= n^6*m^8/(nm)^4

So area of the square is n^6*m^8/(nm)^4.

To learn more about area of square visit the link:

https://brainly.com/question/25092270

#SPJ1

The left Riemman sum approximation for f(x) = x^5, between x = 0 and x = 5, considering 5 intervals, is given as follows:

5.3248.

First we must obtain the Delta value, which is the difference between the bounds of the integral, divided by the number of integrals, thus:

[tex]\Delta_x = \frac{b - a}{n} = \frac{2 - 0}{5} = 0.4[/tex]

Then the values of x at which the numeric values are calculated are obtained as follows:

[tex]x_i = a + \Delta_x(i - 1)[/tex]

Thus the values of x are of:

The numeric values are given as follows:

Then the Riemann sum approximation for the integral is given as follows:

[tex]\sum_{i = 1}^{n} \Delta_x f(x_i)[/tex]

Thus:

0.4(0 + 0.01024 + 0.32768 + 2.48832 + 10.48576) = 5.3248.

More can be learned about Riemann sum approximation at https://brainly.com/question/7229305

#SPJ1

The ratio of nuts to fruits is 5 : 1 and for every 5 cups of nuts, there is 1 cup of dried fruit cup.

Given is that a granola recipe calls for 3 cups of oats, 1 cup of almonds. 1 cup of pecans, and 1 cup of dried fruit

The ratio of nuts to fruits is -

r = (3 oat cups + 1 almond cup + 1 pecan cup)/(1 dried fruit cup)

r = 5/1

5 : 1

For every 5 cups of nuts, there is 1 cup of dried fruit cup.

Therefore, the ratio of nuts to fruits is 5 : 1 and for every 5 cups of nuts, there is 1 cup of dried fruit cup.

To solve more questions on expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

The slope-intercept forms for the graphs 5, 6, 7, and 8 are - y = (-1/2)x + 6, y = 50x + 150, y = (10/3)x + 20, and y = 25x respectively.

What is slope-intercept form?

The line with m as the slope, m and b as the y-intercept is the graph of the linear equation y = mx + b. The values of m and b are real integers in the slope-intercept form of the linear equation.

First, find out the y-intercept(s).

The y-intercepts are the starting point of the lines in the graph.

For graph number 5, the starting point is 6.

For graph number 6, the starting point is 150.

For graph number 7, the starting point is 20.

For graph number 8, the starting point is 0.

Now find the slopes.

For graph number 5, the line goes down 1 unit and moves to the right 2 units, so the slope would be -1/2 (rise/run).

For graph number 6, the line goes up 100 units and moves to the right 2 units, so the slope would be 100/2 (rise/run) or 50.

For graph number 7, the line goes up 10 units and moves to the right 3 units, so the slope would be 10/3 (rise/run).

For graph number 8, the line goes up 25 units and moves to the right 1 unit, so the slope would be 25/1 (rise/run) or 25.

Then plug into the slope-intercept form : y = mx + b.

Where, m is slope and b is the y-intercept.

Graph 5: y = (-1/2)x + 6.

Graph 6: y = 50x + 150.

Graph 7: y = (10/3)x + 20.

Graph 8: y = 25x + 0 or y = 25x

Therefore, the equations are - y = (-1/2)x + 6, y = 50x + 150, y = (10/3)x + 20, y = 25x.

To learn more about slope-intercept form from the given link

https://brainly.com/question/19440459

#SPJ1

The total amount for Elizabeth's purchase after 10 percent discount on her total bill is 33 dollars and 84 cents which is equivalent to 34 dollars.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

Elizabeth bought the grocery for a total of 37 dollars and 60 cents.

She has a coupon of 10% discount.

Which means, she can get 10% discount on her total bill.

The amount of her total bill is $37.60.

So, calculate using percentage, the value of 10% of $37.60.

=(10 × 37.60/100)

= 376/100

= 3.76

So, Elizabeth would get a discount of $3.76 on her total bill -

= 37.60 - 3.76

= 33.84

Therefore, after the discount Elizabeth's total bill is $33.84 ≈ $34.

To learn more about percentage from the given link

https://brainly.com/question/24304697

#SPJ4

Answer:

27 students

Step-by-step explanation:

We know

1 student = $5

1 chaperone = $8.25

5 chaperon = $8.25 x 5 = $41.25

Let's solve

$176.25 -  $41.25 = $135

So, we know that the total amount Mrs. Rubio collected from students is $135, then we take

135 / 5 = 27 students

So, 27 students went on the field trip.

Answer:

8.25 × 5 = 41.25

176.25 - 41.25 = 135

5 × x = 135

x = 27

Therefore, 27 students went.

The statement "it is not the case that p and q are both true" is made in the negation of p ^ q.

As a result, when p q is true, that is, when one or both of p and q are true, (p q) is true precisely. The sentence is only untrue when both p and q are true. The opposite of the given mathematical statement is the negation of a statement in mathematics. If "P" is a statement, then "~P" is the statement's negation.

The words "~" or "¬" are used to denote a statement's denial.

To learn more about negation here:

https://brainly.com/question/22787240

#SPJ4

Answer: 718

Step-by-step explanation:

The formula for determining the cost of the cell phone bill (when more than the base number of minutes is used) is

c=p+(m−b)r

Where:

c is the total cost of the bill: $48.10 for this problem.

p is the base price of the plan: $40 for this problem.

m is the number of minutes used: what we are solving for this problem.

b is the base number of minutes allowed: 700 for this problem

r is the rate for additional minutes: 0.45 for this problem

Substituting and solving for m gives:

$48.10 = $40.00 + (m − 700)$0.45

$48.10 − -$40- = $40.00 − -$40- + (m − 700)$0.45 $8.10= 0 + (m−700)$0.45

$8.10 = (m - 700)$0.45

$8.10 = ($0.45 × m) − ($0.45 × 700)

$8.10 = $0.45m − $315.00

$8.10 + -$315.00- = $0.45m − $315.00 + -$315.00-

$323.10 = $0.45m − 0

$323.10 = $0.45m

[tex]\frac{323.10}{-0.45-}=\frac{0.45m}{-0.45-}[/tex] (Money)

[tex]\frac{323.10}{0.45}=\frac{0.45m}{0.45}[/tex] (Money): cross out the dollar sign for 323.10 and 0.45 under it... then cross out 0.45m but leave the m, and then cross out 0.45 under it.

[tex]\frac{323.10}{-0.45-}=m[/tex]

718 = m

m = 718

John used 718 total minutes during the month.

Answer:

x= 35⁰ - obtuse triangle

Step-by-step explanation:

since the sum of angles of the triangle = 180⁰

(3x-5) + (x+10) + (x) =180⁰

5x+5= 180

(subtracting 5 from both sides)

5x=180-5

5x= 175

(dividing by 5)

x= 35⁰

so the angles of the triangle are

(3x-5) = 105-5= 100⁰

(x+10) = 45⁰

(x) = 35⁰

then this triangle is an obtuse triangle

The equation can be written using the arithmetic operation and the cost is

$32.91.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The cost for each roses, bows and vases are given as $1.99, $0.99 and $7.99 respectively.

Then, the equation for the total cost is as below,

⇒ 3 × 1.99 + 3 × 0.99 + 3 × 7.99 = 32.91

Hence, the equation for the cost is given in the answer part and the cost is $32.91.

To know more about arithmetic operation click on,

https://brainly.com/question/25834626

#SPJ1

Nate's car was filled with 16 gallons of gas.

The concept is used in this is equations. An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. An equation is the set of variables, constants, and mathematical operations like addition, subtraction, multiplication, or division balanced by an equal sign. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc.

As gas is $2. 09 per gallon at the gas station.

$2. 09 → per gallon

and Nate filled up his car and spent $33. 44.

$33. 44 for fully filled → how many gallons ?

So,

33.44 / 2.09 = 16 gallons.

Therefore, Nate filled 16 gallons gas in his car.

To learn more about equations visit : brainly.com/question/1566730

#SPJ4

Answer:

ITS 64 degrees

Step-by-step explanation:

Answer:

116

Step-by-step explanation:

hope this helps:)..........

Answer:

hypotenuse,adjacent and opposite

Answer:

x = 9

Step-by-step explanation:

18 + x = 27

x = 27 - 18

x = 9

On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -When two parallel lines cross one other, the horizontal line is divided into two angles. Interior angles develop between the parallel lines, whereas alternative outside angles develop outside the parallel lines.

1 - A

2 - C

3 - B

4 - D

To know more about alternate exterior angles visit:

brainly.com/question/2279752

#SPJ1

So, y = ab^x and y = ac^x are the exponential functions to represent the spread of Ben's and Carter's social media posts respectively.

An exponential function has the form y = ab^x, where a and b are constants and x is the independent variable (in this case, time).

For Ben's social media posts:

y = ab^x

For Carter's social media post:

y = ac^x

Please note that the value of a, b, and c will be different for Ben and Carter's post, as it will depend on the number of shares, likes, views, etc., and the rate of spread of the post.

This is an exponential function that represents the spread of Ben's social media posts and  Carter's social media post.

Complete Question:

1. Write an exponential function to represent the spread of Ben's social media post 2. Write an exponential function to represent the spread of Carter's social media post. 3. Graph each function using at least three points for each curve. All graphs should be placed together on the same coordinate plane, so be sure to label each curve. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology. 4. Using the functions for each student, predict how many shares each student's post will be received on Day 3 and then on Day 10. Justify your answers 5. If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is   . How does this graph compare with the original graph of Amber's photo share? 6. Based on your results, which students' post travels the fastest? How is this shown in the equation form of the functions? 7. If you had to choose, would you prefer a post with fewer friends initially but more shares, like Amber, or more friends initially but fewer shares? Justify your answer with your calculations from previous questions

To learn more about exponential function

visit; brainly.com/question/14355665

#SPJ4

Answer:The answer to your question is 5

On solving the provided question we can say that - surface area of the following figure cuboid will be - 148cm²

An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).

Total Surface Area = 2(lw + bw + lb)

Total Surface Area = [tex]2(24 + 30 + 20)[/tex]

Total Surface Area = [tex]148cm^2[/tex]

To know more about surface area visit:

https://brainly.com/question/2835293

#SPJ1

On solving the provided question we can say that - surface area of the following figure cuboid will be - 148cm²

what is surface area ?

An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).

Total Surface Area = 2(lw + bw + lb)

Total Surface Area = - 148cm²

To know more about surface area visit:

brainly.com/question/2835293

#SPJ1

Answer: 25cm²

Step-by-step explanation:

Ok, so I haven't actually learnt this in school so I'm going to give it my best shot. (Don't be surprised if I get this wrong though.)

So, Quadrilaterals A and B are similar. They have the same angles. Therefore, (I'm thinking that) Quadrilateral B is just a scaled-up version of Quadrilateral A.

Here comes my theoretical part:

If one side of Quadrilateral B is 5 times longer than the same side of Quadrilateral A...

(Quadrilateral A is 3cm, and Quadrilateral B is 15cm).

... then the area of the entire Quadrilateral B should just be 5 times bigger than Quadrilateral A.

Therefore, (I'm guessing), Quadrilateral B has an area of 25cm²

The circumference of the circle is 43.98 in.

What is circumference?

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more generally referred to as the perimeter.

Given:

Pia drew a circle with a circumference of C and a diameter of 14 in

We have to find the circumference of the circle.

Since,

Circumference = 2*π*r

Here

Diameter of circle = 14 in.

⇒ Radius of circle = 7 in.

⇒ Circumference = 2*π*7 = 43.98 in.

Hence, the circumference of the circle is 43.98 in.

To know more about circumference, click on the link

https://brainly.com/question/27447563

#SPJ4