What is the correct solution set for the following graph?


{ } or empty set
{point in Quadrant II}
{point in Quadrant IV}
{infinite set of points on the line}

The possible lengths for the third side 8² + 11² < x²,  8² + 11² = x²

and 8² + 11² ≥ x².

If a² + b² < c² then it is an acute angle triangle.

If a² + b² = c² then it is a right-angle triangle.

If a² + b² ≥ c² then it is an obtuse angle triangle.

Given, Two sides of a triangle have lengths 8 and 11.

Let, The third side be 'x'.

Therefore, The possible lengths for the third side are,

8² + 11² < x²...(i)

8² + 11² = x²...(ii)

8² + 11² ≥ x²...(iii)

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Answer:

IT is 245 pounds

Step-by-step explanation:

The solution is: 0.1225 tons  is 245 pounds.

Here, we have,

given that,

245 pounds

we need to find the value in ton

we know that,

1 pound = 1/2000 ton

             = 0.0005 ton

let, 245 pounds = x ton

so, we get,

1 pound = 0.0005 ton

245 pounds = 0.0005 * 245  tons

                    = 0.1225 tons

so, x = 0.1225 tons

Hence, The solution is: 0.1225 tons  is 245 pounds.

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Answer:

Step-by-step explanation:

Convert a liter or liters what how ever many the question says to fl oz. 1 liter= 33.814, so if you need to minus 2 cups then just minus 16 fl oz, from 33.814, or the given amount in the question.

Answer:

Step-by-step explanation:

1. convert fl oz to liters using a conversion factor

2. 1 liter = 33.814 fl oz approx

3. you must divide the # of fl oz by 33.814

4. For example, if you wanted to subtract 20 fl oz from 3 liters, you would first convert the 20 fl oz to liters: 20 fl oz/33.814 = 2.406

5. Then you would subtract the converted fl oz from the liters: 3 liters-0.594 liters= 2.406 liters

20 fl oz = 0.594 liters, and 3 liters minus 0.594 liters equals 2.406 liters

Hope this helps!

The equivalent equation to Paolo's equation is,

w = Start Fraction uppercase P minus 2l Over 2 End Fraction.

What is algebraic operation?

A basic algebraic operation in mathematics is any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots (fractional power).

Multiplication and division tasks should be completed first from left to right, followed by addition and subtraction tasks from left to right.

Given:

uppercase P = 2 (l + w)

Simplifying this,

uppercase P = 2l + 2w

Subtract 2l from both sides,

uppercase P - 2l = 2l  + 2w - 2l

uppercase P - 2l = 2w

Divide both sides by 2,

(uppercase P - 2l) / 2 = 2w / 2

(uppercase P - 2l) / 2 = w

Hence, the equivalent equation to Paolo's equation is,

w = Start Fraction uppercase P minus 2l Over 2 End Fraction.

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Answer:

To calculate the tip, we first need to find 24% of the total bill. To do this, we can multiply the bill amount by 24% (expressed as a decimal).

Tip = 0.24 * 73.25

= 17.58

Therefore, the tip should be $17.58 in dollars.

Answer:

The probability that a given household has lost electricity is 10%, or 0.1. So the probability that a given household has not lost electricity is 1 - 0.1 = 0.9.

Since the loss of electricity is independent among the households of the management team, we can find the probability that none of them has lost electricity by multiplying the probability of no loss in any one household (0.9) by itself 6 times, since there are 6 members of the team:

0.9 * 0.9 * 0.9 * 0.9 * 0.9 * 0.9 = 0.54

So the probability that none of the management team members has lost electricity in his or her household is  54%.

Answer:

$175,000.

Step-by-step explanation:

The amount of money that will be spent on specialty fees is $35,000,000 x 0.5% = $175,000.

Answer:

$175,000

Step-by-step explanation:

To calculate the amount of money that will be spent on specialty fees, we need to multiply the total amount of money raised (35,000,000) by the specialty fee percentage (0.5%).

fees = 35,000,000 * 0.005 = 175,000

So, $175,000 will be spent on specialty fees.

To calculate the amount of money that will be spent on service commission, we need to multiply the total amount of money raised (35,000,000) by the service commission percentage (2%).

commission = 35,000,000 * 0.02 = 700,000

So, $700,000 will be spent on service commission.

Answer: 360

Step-by-step explanation:

If 10% of people were 55 or older, than 90% of people were younger than 55.

This is 9 times the number of people that were 55 or older.

Therefore, the answer is 360.

Answer:

Step-by-step explanation:

Ben has a piece of plywood that measures 1 yard on each side, and he cuts it into 6 equal pieces.

The width of each piece is 1/3 yard, and the length of each piece is 1/2 yard.

To find the area of each piece that Ben cuts, we can multiply the width and length of each piece:

Area = (1/3 yard) x (1/2 yard)

Area = (1/3) x (1/2)

Area = 1/6 yard^2

So each piece that Ben cuts has an area of 1/6 yard^2.

The product 1/2x1/3 relates to the model in that it represents the area of the piece. In other words, the length and width are multiplied to find the area of the piece.

In this case, we can see that Ben cuts the plywood into 6 pieces of equal area, which is 1/6 of a square yard.

The approximate area of the shaded region of the circle is 191 metres squared.

The radius of the circle below is given as 9 metres. The approximate area of the shaded region of the circle can be found as follows:

area of the shaded region = area of the circle - area of the sector uncoloured

Therefore,

area of the circle = πr²

where

Therefore,

area of the circle = π × 9²

area of the circle = 81π m²

Hence,

area of the sector uncoloured = ∅ / 360 × πr²

where

Therefore,

area of the sector uncoloured = 90 / 360 × π × 9²

area of the sector uncoloured = 1 / 4 × π × 81

area of the sector uncoloured = 81 / 4 π

Hence,

area of the shaded region = 81π  - 20.25π

area of the shaded region = 60.75π

area of the shaded region = 190.755

area of the shaded region = 191 m²

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Answer:

94

Step-by-step explanation: PQS = (7x - 6)°

SQR = (4x + 15)° since QS bisect PQR these two expressions must be equal

so

7x - 6 = 4x + 15 transfer like terms to the same side of the equation

7x - 4x = 15 + 6

3x = 21 divide both sides by 3

x = 7

also the sum of these two would give us the measure of PQR

7x + 4x + 15 - 6 = PQR

11x + 9 = PQR replace x with 7

11*7 + 9 = 86 this is the measure of angle PQR and also supplementary to PQT so the measure of PQT = 180 - 86

The value of x for the given figure is 4√2.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

ΔMNO is a right triangle.

Applying the Pythagorean theorem.

MO² = ON² + MN²

8² = x² + x²

64 = 2x²

2x² = 64

x² = 32

x = √32

x = √(16 x 2)

x = √(4² x 2)

x = 4√2

Thus,

The value of x is 4√2.

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The statistical measure which would best represent the average temperature as required is; Mean.

It follows from the task content that the measure of central tendency which best represents the average temperature is to be determined.

On this note, although the mean and median are statistical measures of the central tendency, the mean is a more accurate measure of the average temperature as in this context.

The mode on the other hand, is a statistical measure of spread.

Ultimately, while checking the average temperature in different locations, it follows that the average temperatures in each of the locations is reported as a mean.

This follows from the fact that the mean is a representative of all temperatures recorded in any one location.

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A total of 40 nurses do not have a nursing diploma yet

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

Nurses = 160 nurses

Diploma qualitifications = 75%

The above parameters mean that

No diploma qualification = (1 - Diploma qualitifications) * Nurses

Substitute the known values in the above equation, so, we have the following representation

No diploma qualification = (1 - 75%) * 160

Evaluate

No diploma qualification = 40

Hence, the nurses are 40

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Answer:

Step-by-step explanation:

2-(-2)

=2+2

=4

Answer: the difference when -2 is subtracted from 2 will be 4

Step-by-step explanation: according to question

                                               2 -(-2)

                                             =2+2    ( - + - = +)

                                             = 4

The expression that is equivalent to (1/16)^-4 is 16^4. Option B

Index form of a number is mathematically described as the number that is written as an exponential expression or that is raised to a variable or another number.

The exponent of an expression explains the multiple times in which the base replicates itself to evaluate the expression.

It is also called the scientific notation or standard form of a number.

From the information given, we have that;

(1/16)^-4

Using the indices rule;

(a^-n) is same as (1/a)^n

So, if we have (1/16)^-4, it is equivalent to;

16^4

Hence, the value is 16^4

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Complete question:

Which expression is equivalent to (1/16)^-4?

The answer choices are

A) (-16)^4

B) 16^4

C) 4 square root 1/16

D) -(1/16)^-4

The graphs of the functions f(x) and g(x) are attached with the answer.

       [tex]${\displaystyle G=\{(x,f(x))\mid x\in X\}.}[/tex]

Given are the functions f(x) and g(x).

The given functions are -

f(x) = [tex]$100(\frac{3}{5})^{x}[/tex]

g(x) = [tex]$100(\frac{2}{5})^{x}[/tex]

Refer to the graphs of the function f(x) and g(x).

Therefore, the graphs of the functions f(x) and g(x) are attached with the answer.

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Answer:

There are two terms in the expression

Step-by-step explanation:

2b is one term since it is multiplied together, and 6 is by itself and is the second term

Dalton's Atomic Theory (1804)

From his experiments and observations, as well as the work of peers of his time, Dalton proposed a new theory of the atom. This later became known as Dalton's atomic theory. The general tenets of this theory were as follows:

According to Dalton’s atomic theory, all matter, whether an element, a compound, or a mixture is composed of small particles called atoms.

Dalton based his theory on two laws: the law of conservation of mass and the law of constant composition.

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to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{(-4)}}} \implies \cfrac{8 }{2 +4} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{4 }{ 3 }[/tex]

Answer:

30

Step-by-step explanation: 30-60-90 theorem

Answer:

93

Step-by-step explanation:

the mode is the value in the data set that occurs most often.

in this case that is 93 , so

mode = 93

Answer:

93

Step-by-step explanation:

the number which has higher frequency is the mode. here 93 comes 2 times. thus, 93 is the mode.

Answer:

Line B slope = 9

Step-by-step explanation:

When dealing with perpendicular lines, we can let the slope we know represent m1, while the slope we don't know represents m2.

Thus, to find m2, we use the formula:

[tex]m_{2}=\frac{-1}{m_{1} }[/tex]

If we plug in -1/9 for m1, we have:

[tex]m_{2}=-\frac{1}{(-1/9)} \\m_{2}=9[/tex]

Refer to the image attached.

6.28 cubic centimeters is the volume of the gap in the jar.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that cylindrical jar contains three glass balls each has a diameter of 2cm

Let us find the volume of each sphere.

Volume of sphere=4/3×πr³

As diameter is 2 then radius is 1.

Volume of each sphere=4.186

Volume of three spheres=3×4.186=12.56

Now let us find the volume of cylinder.

The diameter of cylinder will be 2 and height is 6 cmas there are 3 spheres of diameter 2cm.

Volume of cylinder=πr²h

=3.14×1×6

=18.84 cubic centimeters.

So the volume of the gap in the jar = 18.84-12.56

=6.28 cubic centimeters.

Hence, 6.28 cubic centimeters is the volume of the gap in the jar.

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Answer: 8 x 96

Explanation: (Commutative Law: A x B = B x A)

The correct statements regarding the linear function G(t) = 10 - 2t are given as follows:

Initially, the tank has 10 gallons of gasoline.

The rate of consumption is of 2 gallons per hour.

The slope of G(t) represents the fuel consumption of the vehicle.

The t-intercept represents the time it takes for the vehicle to run out of gas.

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

The linear function is defined as follows:

G(t) = 10 - 2t.

In which the variables are:

G(t) is the amount of gasoline that the car has after t hours.

t is the time in hours.

The slope and the intercept are presented as follows:

Slope of -2: 2 gallons are consumed each hour.

Intercept of 10: The initial fuel in the car is of 10 gallons.

The t-intercept is:

10 - 2t = 0

2t = 10

t = 5.

Which is the time it takes for the car to run out of fuel.

Missing Information

The options are given by the image shown at the end of the answer.

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Answer:

Step-by-step explanation:

Given-: Y= -X+1  (1)

            3X-Y=3  (2)

we will put the value of Y from equation (1) in equation (2)

  3X-(-X+1)=3

   3X+X-1=3

   4X-1=3

Taking -1 to R.H.S

  4X=3+1

 4X=4

 X=4/4

 X=1

Now put the value of X in equation (1)

Y=-X+1

Y=-1+1

Y=0

So the option will be B (1,0)

The numerator of the rational expression will be 6.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 1 / b + 5 / b = x / b.

The expression will be solved as below,

E = (1/b) + (5/b)

E = ( 1 + 5 ) / b

E = 6 / b

Hence, the numerator will be equal to 6.

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The volume of the solid generated by revolving the regions bounded by the curves and lines about the​ y-axis is  8.90 unit³.

Since the region is the one for  then the intersection we are interested on is x=1 as it can also be seen in the graph.

Where h(x) is the height of the shell which here is the distance between the parabola and the line, so  (since the line is on the top we subtract from it the parabola

Notice the limits of the integral are the x-axis (x=0) and the intersection of the parabola and the line that we found before (x=1)

We want the volume generated when the area bounded by the curves :

v = x2 v = 8 —7x , and

x = 0 for x > 0 is revolved about the y axis using the cylindrical shell method .

The intersection of y = x2 and y = 8 —7x is :

y= x2 = 8 — 7x x2 + 7x —8 = 0

(x + 8)(x — 1) = 0 x = —8 or

x = 1 .

We thus have for x > 0 the two curves intersect at x = 1 and y = 12 = 1 .

The limits for integration are --- 0 <x < 1 .

The upper curve is --- y2 = 8 —7x ,

and the lower curve is --- yi = x2 .

The height of the shell is --- h = y2 -yi = 8 —7x — x2 •

The radius of the shell is --- R = x •

[tex]$$The surface area of the shell is :$$A=2 \pi \mathrm{Rh}=2 \pi x\left(8-7 x-x^2\right)=2 \pi\left(8 x-7 x^2-x^3\right) .$$The differential of volume which is the cylindrical shell is :$$\mathrm{dv}=\mathrm{Adx}=2 \pi\left(8 x-7 x^2-x^3\right) \mathrm{dx}$$[/tex]

[tex]$$We then have the volume of revolution is :$$\begin{aligned}v & =2 \pi \int_0^1\left(8 x-7 x^2-x^3\right) \mathrm{d} x \\& =2 \pi\left(4 x^2-\frac{7}{3} x^3-\frac{1}{4} x^4\right)_0^1 \\& =2 \pi\left[4\left(1^2-0^2\right)-\frac{7}{3}\left(1^3-0^3\right)-\frac{1}{4}\left(1^4-0^4\right)\right] \\& =2 \pi\left(4-\frac{7}{3}-\frac{1}{4}\right) \\& =2 \pi\left(\frac{48-28-3}{12}\right) \\& =2 \pi\left(\frac{17}{12}\right) ; \text { or, we have : } \\v & =\frac{17 \pi}{6} .\end{aligned}$$[/tex]

17π/6 = 8.90 unit³

Thus, The volume of the solid generated by revolving the regions bounded by the curves and lines about the​ y-axis is  8.90 unit³.

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