The circle is inscribed in the square. Find the area of the shaded region.

The Circle Is Inscribed In The Square. Find The Area Of The Shaded Region.

Answers

Answer 1

We can solve this by calculating the area of the square and subtracting the area of the inscribed circle. The area of the square is:

[tex]Square=10\cdot10=100cm^2[/tex]

The formula for the area of a circle is:

[tex]A=\pi r^2[/tex]

The radius of the inscribed circle is half the length of the side of the square, then, the radius is r = 5 cm

[tex]Circle=\pi5^2=25\pi\text{ }cm^2[/tex]

Now, we rest:

[tex]Square-Circle=100cm^2-25\pi cm^2\approx21.46cm^2[/tex]

The answer is 21.46cm²


Related Questions

What is the equation in standard form of the line that passes through the point (6,-1) and isparallel to the line represented by 8x + 3y=15?A 8x+3y=-45B 8x-3y = -51C 8x+3y=45D 8x - 3y=51

Answers

The slope of the given line is:

[tex]s=-\frac{8}{3}\text{.}[/tex]

Therefore, the slope of a parallel line to the given line must be -8/3.

Using the slope-point formula for the equation of a line we get:

[tex]y-(-1)=-\frac{8}{3}(x-6)\text{.}[/tex]

Taking the above equation to its standard form we get:

[tex]\begin{gathered} y+1=-\frac{8}{3}(x-6), \\ 3y+3=-8(x-6), \\ 3y+3=-8x+48, \\ 8x+3y=48-3, \\ 8x+3y=45. \end{gathered}[/tex]

Answer: Option C.

Simplify or expand each expression and then Classify it by its degree and number of terms

Answers

2x^3 (7x^2 + 3x + 1) - 4x^4

multiply 2x^3 in

14x^5 + 6x^4 + 2x^3 - 4x^4

14x^5 + 2x^4 + 2x^3

3 terms, the degree is 5

terms are single expressions such as (2x^3)

the degree is the highest exponent

(6x - 2x^4 + 5x^6) + (7x^4 - 3x^6 + 9)

combine

6x - 2x^4 + 5x^6 + 7x^4 - 3x^6 + 9

simplify

2x^6 + 5x^4 + 6x + 9

4 terms, the degree is 6

(x^2 + 9)(x^2 - 9)

FOIL, (a + b)(c + d) -> ac + ad + bc + bd

x^2 * x^2 + x^2 * -9 + 9 * x^2 + 9 * -9

simplify

x^4 - 81

2 terms, the degree is 4

Find the value of the logarithmic expression. log subscript 6 216log subscript 6 216=____?

Answers

Solution

For this case we have the following:

[tex]\log _6(216)=3[/tex]

The reason is because:

[tex]6^3=6\cdot6\cdot6=216[/tex]

Given (12 ,7)and (X,-8) find all x such that the distance between these two points is 17 separate multiple answers with a comma

Answers

X=20

Explanation

the distance between 2 points is given by

[tex]\begin{gathered} for \\ P1(x_1,y_1) \\ P2(x_2y_2) \\ d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \end{gathered}[/tex]

so

Step 1

a)given

[tex]\begin{gathered} P1(12,7) \\ P2(x,-8) \\ d=17 \end{gathered}[/tex]

b) now, replace in the formula and solve for x

[tex]\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ 17=\sqrt{(x-12)^2+(-8-7)^2} \\ 17=\sqrt{(x-12)^2+(-15)^2} \\ raise\text{ both sides to power 2} \\ 17^2=(\sqrt{(x-12)^2+(-15)^2})^2 \\ 289=(x-12)^2+225 \\ subtract\text{ 225 in both sides} \\ 289-225=(x-12)^2+225-225 \\ 64=(x-12)^2 \\ square\text{ root in both sides} \\ \sqrt{64}=\sqrt{(x-12)^2} \\ 8=x-12 \\ add\text{ 12 in both sides} \\ 8=x-12 \\ 8+12=x-12+12 \\ 20=x \end{gathered}[/tex]

therefore, the answer is

X=20

I hope this helps you

what's the answer please help

Answers

Domain are the "x"'s in this example Domain = [-2, 2]

Range are the "y" in this example Range = [-3, 3]

The second choice is correct.

What is the solution to the following equation? X +(-13) = -5 A. X= 18 B. X = 8 C. x -18 D. X = -8

Answers

Given the following expression:

X + (-13) = -5

Let's determine the value of X.

X + (-13) = -5

X - 13 = -5

X = -5 + 13

X = 8

Therefore, X = 8.

how long will it take for the population to get to 2552 alligators?

Answers

we have the equation

[tex]P(t)=319(2)^{(\frac{t}{3})}[/tex]

For P(t)=2,552

substitute in the given equation

[tex]2,552=319(2)^{(\frac{t}{3})}[/tex]

solve for t

[tex]\begin{gathered} 2,552=319(2)^{(\frac{t}{3})} \\ \frac{2,552}{319}=(2)^{(\frac{t}{3})} \end{gathered}[/tex]

Apply log both sides

[tex]\begin{gathered} \log \lbrack\frac{2,552}{319}\rbrack=\log \lbrack(2)^{(\frac{t}{3})}\rbrack \\ \log \lbrack\frac{2,552}{319}\rbrack=\frac{t}{3}\cdot\log (2) \end{gathered}[/tex]t=9 yearsthe answer is 9 years from the time of introduction

sally, a journalism student, counted the number of pages in several major magazines. Number of pages Number of magazines 118 4 152 4 169 2 is the number of pages that a randomly chosen magazine had. What is the expected value of X? write your answer as a decimal.

Answers

Let's begin by identifying key information given to us:

4 magazines have 118 pages

4 magazines have 152 pages

2 magazines have 169 pages

The expected value for X (in pages) is given by:

[tex]\begin{gathered} P(118pages)=\frac{4}{10}=\frac{2}{5} \\ P(152pages)=\frac{4}{10}=\frac{2}{5} \\ P(169pages)=\frac{2}{10}=\frac{1}{5} \\ EV(x)=118\times\frac{2}{5}+152\times\frac{2}{5}+169\times\frac{1}{5} \\ EV(x)=141\frac{4}{5}=141.80 \\ EV(x)=141.8 \end{gathered}[/tex]

The expected value of X is 141.8 pages

Peter is thinking of a number. If he adds 23 to that number, the sum is 31.A. Write an algebraic equation you can use to find Peter’s number. Let n be Peter’s number.

Answers

[tex]\begin{gathered} n\text{ + 23 = 3}1 \\ n\text{ = 3}1\text{ - 23} \\ n=8 \end{gathered}[/tex]

Destiny needs a new coat for the winter and she found one at Old Navy for $48.88. The sale tax is 8%. How much will she pay for the sales tax? How much will she pay all together? SHOW ALL OF YOUR WORK.

Answers

Hello!

First, let's consider the value of $48.88 as 100%. Then, we have to find how many correspond to 8% of it. We can calculate it using the rule of three:

[tex]\begin{gathered} \frac{48.88}{x}=\frac{100}{8} \\ \\ \text{ multiplying across} \\ x\cdot100=8\cdot48.88 \\ 100x=391.04 \\ x=\frac{391.04}{100} \\ x\cong3.91 \end{gathered}[/tex]

So, the sales tax is $3.91.

Now, we have to add the price of the coat with the sale tax:

$48.88 + $3.91 = $52.79

If she pays all together, the cost will be $52.79.

Solve the following equation:
-3(5+4x)-7=14

Answers

The value of x is, x = -3.

What is solving an equation?

A General Rule for Equation Solving

Remove parentheses from each side of the equation and combine similar phrases to make it simpler.

To separate the variable term on one side of the equation, use addition or subtraction.

To find the variable, use division or multiplication.

Consider, the given equation

-3(5 + 4x) - 7 = 14

Solving the parenthesis

-15 - 12x - 7 = 14

Simplifying,

-22 - 12x = 14

Adding 22 on both sides,

-22 - 12x + 22 = 14 + 22

               -12x = 36

Divide both sides by 12,

-12x/12 = 36/12

       -x = 3

Multiply both sides by -1.

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

     x = -3

Hence, the value of x is, x = -3.

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First, let's look at the measures of the length and width of the wall the boys arepainting. The problem says that the wall is 7 feet wide and 6 feet tall. Frank paints14 square feet of the wall, and Ryan paints the rest.How can you draw one straight line on this grid to divide it into two sections toshow the part of the wall Frank paints and the part of the wall Ryan paints?

Answers

Let's draw the 7ft by 6ft wall that is being painted by Frank and Ryan.

If Frank paints 14 square feet of the wall, we can say that Frank painted two rows of 7ft wide. See illustration below.

The darker horizontal line is the straight line that divides the wall into two sections.

So, the orange part is the section where Frank paints and the blank (white) part is the part of the wall that Ryan paints.

I’m the diagram below, C is the midpoint of AB. If AC is 4 centimeters, what is the length of CBA.4cmB.8cmC.6cmD.2cm

Answers

Consider that a mid-point is at equal distances from each end of the line segment.

Given that C is the mid point of AB, so point C must be at equal distance from ends A and B,

[tex]AC=CB[/tex]

Given that AC measures 4 centimeters,

[tex]AC=4\text{ cm}[/tex]

Substitute the value,

[tex]CB=4\text{ cm}[/tex]

Therefore, option A is the correct choice.

Based on the function F(x) = 2x° +2x² - 4 and the graph of G(x) below, which of the following statements is true? TH O A. F(x) has 3 real roots x 70 G() O B. as x → = G(x) > 0 x → F(x) → O c. as x →-, F(x) — - O D. G(X) has 3 real roots

Answers

We could graph the function F:

[tex]F(x)=2x^3+2x^2-4[/tex]

As follows:

As you can see,

[tex]\begin{gathered} as\text{ x}\to\infty,\text{ f(x)}\to\infty \\ as\text{ x}\to-\infty,\text{ f(x)}\to-\infty \end{gathered}[/tex]

Therefore, the correct answer is C.

Find the equation that results from completing the square into the following equation X squared -14 X +40 equals zero

Answers

Given:

The equation is

[tex]x^2-14x+40=0[/tex]

Required:

Find the equation that results from completing the square into the given equation.

Explanation:

The given equation is:

[tex]x^{2}-14x+40=0[/tex]

Subtract 40 on both sides.

[tex]\begin{gathered} x^2-14x+40-40=0-40 \\ x^2-14x=-40 \end{gathered}[/tex]

Add 49 on both sides.

[tex]\begin{gathered} x^2-14x+49=-40+49 \\ x^2-14x+49=9 \end{gathered}[/tex]

Use the following formula:

[tex]a^2-2ab+b^2=(a-b)^2[/tex][tex](x-7)^2=9[/tex]

Final answer:

The second option is the correct answer.

A dairy needs 396 gallons of milk containing 6% butterfat. How many gallons each of milk containing 8% butterfat and milk containing 2% butterfat must be used to obtain the desired 396 gallons?

Answers

ANSWER:

264 gallons of milk containing 8% butterfat

132 gallons of milk containing 2% butterfat

STEP-BY-STEP EXPLANATION:

From the statement we can propose the following system of equations:

Let x be the milk that contains 8% butterfat and let y be the 2%.

[tex]\begin{gathered} x+y=396\rightarrow y=396-x\text{ (1)} \\ 0.08x+0.02y=0.06\cdot396\rightarrow0.08x+0.02y=23.76\text{ (2)} \end{gathered}[/tex]

We substitute in equation (1) in equation (2) and substitute for x, just like this:

[tex]\begin{gathered} 0.08x+0.02\cdot(396-x)=23.76 \\ 0.08x+7.92-0.02x=23.76 \\ 0.06x=23.76-7.92 \\ x=\frac{15.84}{0.06} \\ x=264 \end{gathered}[/tex]

Knowing the value of x, we can calculate the value of y, substituting in equation 1, like this:

[tex]\begin{gathered} y=396-264 \\ y=132 \end{gathered}[/tex]

Therefore, 264 gallons of milk containing 8% butterfat and 132 gallons of milk containing 2% butterfat are needed.

The figure below is a net for a right rectangular prism. Its surface area is 396 cm2 andthe area of some of the faces are filled in below. Find the area of the missing faces,and the missing dimension.

Answers

hello

to solve this question, let's add up all the areas from the sides given and equate it to the total area of the prism. Then we can also denote the side with the missing area as x

[tex]\begin{gathered} 396=42+72+42+72+x+x \\ 396=228+2x \\ 2x=396-228 \\ 2x=168 \\ \text{divide both sides by the coefficient of x} \\ \frac{2x}{2}=\frac{168}{2} \\ x=84 \end{gathered}[/tex]

now we have established the area of the missing sides as 84cm^2

but then from careful observation, the figure with the missing side have a shape of a rectangle and we can use the formula of area of a rectangle to find the missing side.

[tex]\begin{gathered} a=l\times w \\ a=84\operatorname{cm}^2 \\ l=? \\ w=7\operatorname{cm} \\ 84=l\times7 \\ 84=7l \\ \frac{84}{7}=\frac{7l}{7} \\ l=12\operatorname{cm} \end{gathered}[/tex]

from the calculations above, the missing side is equal to 12cm

A park walkway surrounds a fountain as shown. Find the area of the walkway. Round to the nearest foot.

Answers

The fountain is depicted by the white circle in the picture. The surrounding walkway is depicted by the grey areas.

From the sketch shown above, the semi-circle inscribed in the rectangle is one half of the fountain. We shall calculate the area of the semi-circle and subtract this from the area of the rectangle.

The area of the rectangle is;

[tex]\begin{gathered} \text{Area}=l\times w \\ \text{Area}=30\times42.5 \\ \text{Area}=1275ft^2 \\ \text{The area of the semicircle is,} \\ \text{Area=}\frac{1}{2}(\pi\times r^2) \\ \text{The diameter is 18 ft, and therefore the radius is 9 ft} \\ \text{Area}=\frac{1}{2}(3.14\times9^2) \\ \text{Area}=\frac{1}{2}(3.14\times81) \\ \text{Area}=\frac{1}{2}(254.34) \\ \text{Area}=127.17ft^2 \end{gathered}[/tex]

Therefore, the area of the shaded region would be,

Area = 1275 - 127.17

Area = 1147.83

Next step is to calculate the other half of the figure (the right side), as follows;

Observe that the outer semi-circle is the shaded region while the inner one is the white portion.

The area is

[tex]\begin{gathered} \text{Shaded region;} \\ \text{Area}=\frac{1}{2}(\pi\times r^2) \\ \text{Area}=\frac{1}{2}(3.14\times15^2) \\ \text{Area}=\frac{1}{2}(3.14\times225) \\ \text{Area}=\frac{1}{2}(706.5) \\ \text{Area}=353.25ft^2 \\ \text{White region;} \\ \text{Area}=\frac{1}{2}(\pi\times9^2) \\ \text{Area}=\frac{1}{2}(3.14\times81) \\ \text{Area}=127.17ft^2 \end{gathered}[/tex]

The area of the shaded region is;

Area = 353.25 - 127.17

Area = 226.38

Therefore the total area of the walkway surrounding the fountain is;

Area = 1147.83 + 226.38

Area = 1374.21

Area = 1,374 feet squared (rounded to the nearest foot)

The formula for calculating the distance, d, in miles that one can see to the horizon on a clear day is approximated by d=1.22radical x, where x is the elevation in feet of a person's eyes. a. approximately how far, to the nearest mile, can a person whose eyes are 600 feet above sea-level see? b. approximately how high, to the nearest foot, would a person's eyes need to be to see 100 miles?

Answers

The expression to calculate the distance a person can see is below, where x is the height in feet of a person's eyes above see-level:

[tex]d=\sqrt[1.22]{x}\lbrack mi\rbrack[/tex]

a) A person who is 600 feet height will see:

[tex]d=\sqrt[1.22]{600}=189.30mi[/tex]

b) In order to get the height a person needs to be so that he/she could see 100 miles long, we solve the equation for x:

[tex]\begin{gathered} d=x^{\frac{1}{1.22}} \\ d^{1.22}=(x^{\frac{1}{1.22}})^{1.22}=x \\ x=100^{1.22}=275.42ft \end{gathered}[/tex]

The length of a rectangle is 1 inch shorter than twice the width (x).Which is the width (x) when the area (y) = 3321 square inches?

Answers

the width (x) of the rectangle = 41 inches

Explanation:

let the width = x

twice the width = 2x

The length of a rectangle is 1 inch shorter than twice the width (x) = 2x - 1

length = 2x -1

Area of rectangle = length × breadth

area (y) = 3321 square inches

y = x × 2x - 1 = x(2x - 1)

3321 = 2x² - x

2x² - x - 3321 = 0

We use factorisation to find x:

a = 2, b = -1, c = -3321

a × c = 2(-3321) = -6642

The factors which gives -1 when we sum together but gives -6642 when we multiply together are -82 and +81

2x² -82x + 81x - 3321 = 0

2x(x - 41) + 81(x - 41) = 0

(2x + 81) (x - 41) = 0

(2x + 81) = 0 or (x - 41) = 0

2x + 81 = 0

2x = -81

x = -81/2 inches

(x - 41) = 0

x - 41 = 0

x = 41 inches

Since we can't have a negative number as the width, the width (x) of the rectangle = 41 inches

Try It! On Saturday, the vacation resort offers a discount on water sports. To takea surfing lesson and go parasailing costs $130. That day, 25 people takesurfing lessons, and 30 people go parasailing. A total of $3,650 is collected.What is the discounted price of each activity?CHECK ANSWER

Answers

Let the cost of surfing lesson be x and the cost of Parasiling be y

From the question, both surfing lesson and parasailing cost $130

Hnece;

x + y = 130 ---------------------------(1)

From the question, 25 people take surfing lesson and 30 pupil went for parasailing and a total of $3, 650 was collected

Hence;

25x + 30y = 3650--------------------------------(2)

We can now solve equation (1) and (2) simultaneously

Using elimination method,

multiply through equation(1) by 30

30 x + 30 y = 3900 ------------------(3)

subtract equation(1) from equation (3)

5x = 250

divide both-side of the equation by 5

x = 50

substitute x = 50 into equation (1) and then solve for y

x + y = 130

50 + y = 130

subtract 50 from both-side of the equation

y = 130 - 50

y =80

Therefore, the discount price of Surfing lesson is $50 while the discount price for parasailing is $80

x=72+(m*14)when m=6 to the third power

Answers

The value of x is 3096

Here, we want to find the value of x when m is 6 raised to its third power

We proceed as follows;

[tex]\begin{gathered} m=6^3\text{ = 216} \\ Substitute\text{ this value} \\ x\text{ = 72}+\text{(216 }\times\text{ 14)} \\ x\text{ = }72\text{ + 3024} \\ x\text{ = 3096} \end{gathered}[/tex]

Find the surface area and volume of the figure .The surface area is _ft2.(Round to the nearest tenth as needed .)

Answers

Question:

Find the surface area and volume of the figure.

Solution:

1) The surface area:

This shape is composed of a cylinder and hemisphere. Now, we know that the surface area of the sphere is:

[tex]SA\text{ sphere = 4}\pi\text{ }r^2[/tex]

So that, the surface area of the hemisphere would be:

[tex]SA\text{ hemisphere = }2\pi r^2[/tex]

On the other hand, the area of the circle is:

[tex]A\text{= }\pi r^2[/tex]

thus, the surface area of the cylinder would be:

[tex]SA\text{ cylinder = }2\pi rh[/tex]

replacing the data given in the problem in the formulas of the surface area of the hemisphere, area of the circle, and surface area of the cylinder, we get:

[tex]SA\text{ hemisphere = }2\pi(9)^2\text{ = 162}\pi[/tex]

and

[tex]SA\text{ cylinder = }2\pi(9)(12)\text{ = }216\pi[/tex]

and

[tex]A\text{= }\pi(9)^2=\text{ 81}\pi[/tex]

then, we can conclude that the surface area of the given figure is:

[tex]SA\text{ = 162}\pi\text{ + 216}\pi+81\pi\text{ = 459}\pi\approx1441.9\text{ }\approx1442[/tex]

that is:

[tex]SA\text{ }\approx1441.9\text{ }\approx1442[/tex]

2) The volume

The volume of a cylinder is given by the following formula:

[tex]V_C=\pi r^2h[/tex]

and the volume of a hemisphere is :

[tex]V_H=\frac{1}{2}(\frac{4}{3}\pi r^3)\text{ = }\frac{2}{3}\pi r^3[/tex]

thus, the volume of the figure would be:

[tex]V=V_C+V_H=\text{ }\pi r^2h\text{+}\frac{2}{3}\pi r^3[/tex]

Then replacing the data given in the problem in the above formula we get:

[tex]V=\pi(9)^2(12)\text{+}\frac{2}{3}\pi(9)^3\text{ = 972}\pi\text{+486}\pi=\text{ 1458}\pi\approx4580.4\approx4580[/tex]

that is;

[tex]V\approx4580.4\approx4580[/tex]

To prepare an aquarium for use, you can clean it with saltwater solution.The amount of salt varies directly with the volume of the water.The solution has 3 teaspoons of aquarium salt for every 2 gallons of water.

Answers

teaspoons of water = y

gallons of water = x

• a)

y = k x

Where k is the constant of proportionality.

Replace x,y by the values given and solve for k:

3= k 2

3/2 = k

k= 1.5

Equation:

y= 1.5x

• b) replace x=10 and solve for y

y= 1.5x

y= 1.5 (10)

y= 15

15 teaspoons of aquarium salt

• c) replace y= 39 and solve for x

y=1.5x

39 = 1.5 x

39/1.5= x

x = 26

26 gallons of water

I need help with this practice problem solving This subject is trig from my ACT prep guide I will add an additional picture of the answer options

Answers

[tex]\text{ The tangent function's fundamental period is }\pi\text{. The y - intercept of the function is 0}[/tex][tex]\text{ plot the point }(-\frac{\pi}{3},-\sqrt[]{3}),(-\frac{\pi}{4},-1),(0,0),(\frac{\pi}{4},1),\text{ and }(\frac{\pi}{3},\sqrt[]{3}),[/tex]

Connect the points in a smooth curve, approaching the asymptotes located where the tangent function is undefined.

Which expressions have the fewest significant Figures?A. 18.8 - 6.5B. 4350 - 2210C. 15.4 - 8.1D. 54.5 * 30.7

Answers

Answer

Option C is obviously the answer.

Explanation

It will be easy to answer this by providing the answers to the expressions.

Option A

18.8 - 6.5 = 12.3 (3 significant figures)

Option B

4350 - 2210 = 2140 (4 significant figures)

Option C

15.4 - 8.1 = 7.3 (2 significant figures)

Option D

54.5 * 30.7 = 1673.15 (6 significant figures)

Hope this Helps!!!

There are 33.8 fluid ounces in a liter. There are 128 fluid ounces in a gallon. How many litersthere are roughly in a gallon?to. 2b. 3C. 4d. 5Is your estimate greater or less than the exact number of liters in a gallon? Explainhow do you know.

Answers

Answer

Option C is correct.

There are roughly 4 liters in 1 gallon

And the estimate (4 liters in 1 gallon) is greaster then the exact number of liters in a gallon (3.79 liters in 1 gallon).

Explanation

We are given some parameters

33.8 fluid ounces = 1 liter

128 fluid ounces = 1 gallon

We are then told to find the amount of liters that are roughly in a gallon.

To do this, we will put the parameters that are equivalent as fractions on each other

[tex]\begin{gathered} \frac{33.8\text{ fluid ounces}}{1\text{ liter}}=1 \\ \frac{128\text{ fluid ounces}}{1\text{ gallon}}=1 \end{gathered}[/tex]

We can write the first relation as an inverse and we will still have the same thing

[tex]\begin{gathered} \frac{1\text{ liter}}{33.8\text{ fluid ounces}}=1 \\ \frac{128\text{ fluid ounces}}{1\text{ gallon}}=1 \\ \text{ Since, 1 }\times1=1 \\ We\text{ can find the relation betw}een\text{ liter and gallon by saying} \\ \frac{1\text{ liter}}{33.8\text{ fluid ounces}}\times\frac{128\text{ fluid ounces}}{1\text{ gallon}} \\ \frac{128}{33.8}\frac{\text{liter}}{\text{gallon}} \\ =\frac{3.79\text{ liters}}{1\text{ gallon}} \end{gathered}[/tex]

3.79 liters = 1 gallon

A right approximation will be that

1 gallon = 4 liters

We can then see that the estimate is greater than the exact number of liters in a gallon.

Hope this Helps!!!

Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.after constant its 6x squared -x-1

Answers

For polynomial 1: simplified form

[tex]6x^2-x-1[/tex]

Name by Degree: Quadratic

Number of Terms: 3

Polynomial 2:

Simplified form is 3x+4

Name by Degree: Linear

Number of Terms: 2

Polynomial 3:

Simplified form: 2

Name by Degree: Number

Number of Terms: 1

[tex]3x+4[/tex]

What is the value??8+(-3)+15-(-40)

Answers

[tex]\begin{gathered} 8+(-3)+15-(-40) \\ 8-3+15+40 \\ 60 \end{gathered}[/tex]

We applied the rules that said:

- If we add a negative number, it is the same as substracting its negative. That is why "+(-3)" is equal to "-3".

- If we substract a negative number is equal to add the negative of this number. That is why "-(-40)" is equal to "+40".

For nitrogen to be a liquid, its temperature must be within 12.78 °F of –333.22 °F. Which equation can be used to find the maximum and minimum temperatures at which nitrogen is a liquid, x?

Answers

The maximum and minimum temperatures at which nitrogen is a liquid is -320.44°F and = -346°F.

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Since the nitrogen to be a liquid, its temperature must be within 12.78 °F of –333.22 °F.

The minimum temperature will be:

= -333.22 - 12.78

= -346°F

The maximum temperature will be:

= -333.22 + 12.78

= -320.44°F

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Acid rain forms from sulfur combining with water in the atmosphere to formsulfuric acid. What are the reactants of this reaction?A. Sulfuric acid and waterB. Sulfuric acid and sulfurC. Water and sulfurD. Water, sulfur, and sulfuric acid G-CO.A.3: Given a rectangle, perallegram, trapezoid, or regular polygon, describe the rotations and reflections that carry it into itself Explain why this is true.6x1/9=3x2/9 Transform y = f(x) by reflecting it across the x-axis. Label the newfunction h(x). Compare the coordinates of the corresponding pointsthat make up the two functions. Which coordinate changes, x ory? the coordinates of the point shown in fig 23.16 are (3,5) i) How many grams of CO is formed when 73.9g of propane is burnt? C3H8+ O2 CO2 + HO what is the slope of this line? y= -2x +6 Determine whether the equation x + y2 = 5 is linear. If so, graph the function. If not, explain why. Think about the novel you are currently reading. Identify one type of irony from your novel, and explain how it is an example of irony. How does it affect the mood or tone of the novel? My novel is Simon vs the homo saplens agenda could anyone help me please Patrick is a 16 year old boy whose body has stopped producing osteoclasts. What does this mean for his bones? What other parts ofhis body will be affected by this? Given the following exponential function, identify whether the change representsgrowth or decay, and determine the percentage rate of increase er decrease.y = 2500(1.04) Which points are on the graph of a linear function? Select all that apply The dot plot shows how many customers purchased different numbers of shirts at a sale last weekend. Mailk earns 10 dollars per hour at his job. He wants to change to a job that will play 12 dollars per hour. What will be the porcent increase in Mailk's hourty pay if he makes this jobs change.:)))))))))))))))))))))))))))))))))))))) can you please help me whats the rate of change in the equation 0.860(17) + 3.302. Identifies which property it belongs to1) 15^8/5^32) (8^2)^1 48, -24, 12, -6,... 50th term Identify the local maximum and local minimum of the function shown in the graph below. You can assume that the maximum and minimum values lie on whole numbers in 2-3 paragraphs, explain why some communities/neighborhoods have higher crime rates than others? what do certain communities generate high crime rates?