randy presses on his calculator twice to obtain two random numbers between and . let be the probability that these two numbers and form the sides of an obtuse triangle. find .

Answer:

87.3

Step-by-step explanation:

131 ÷ 1.5 = 87.3

The answer will be 87.3 repeat.

131 divided by 1.5 is equal to 8 with a remainder of 11, or 8.7333 (rounded to four decimal places).

We have,

To divide 131 by 1.5, we can perform the division operation as follows:

131 ÷ 1.5

To make the calculation easier, we can convert 1.5 to an equivalent fraction with a denominator of 10.

We can multiply both the numerator and denominator by 10 to get 15.

So, the division becomes:

131 ÷ 15

When we divide 131 by 15, we get a quotient of 8 with a remainder of 11.

Therefore,

131 divided by 1.5 is equal to 8 with a remainder of 11, or 8.7333 (rounded to four decimal places).

131 ÷ 1.5 is approximately equal to 8.7333.

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Answer:

1: 6

2: 21 1/3 2

Step-by-step explanation:

Answer:

Work shown below!

Step-by-step explanation:

Slope-intercept form: y = mx + b

11. \(y=\frac{2}{5}x+1\)

12. 3x - 7y = 28

Subtract 3x from both sides;

-7y = -3x + 28

Divide both sides by -7

\(y = \frac{3}{7} x-4\)

13. \(y+4=\frac{1}{2}(x+1)\)

Distribute;

\(y+4=\frac{1}{2}x+\frac{1}{2}\)

Subtract 4 from both sides;

\(y=\frac{1}{2}x-\frac{7}{2}\)

Just divide 1,300 by 5.

260 would be your answer. If you want an explanation, if you think about the term 100%, that's the total at the time. Amplifying that 100% by five would practically mean five times the amount of 100%, so 500%. You're just multiplying the amount of bunnies at the time by 5. (500% in decimal form is 5)

The corresponding intervals for diameters of the washers as given in the task content is; 3.44 ≤ d ≤ 3.76.

It follows from the task content that the corresponding interval for ths diameter of the washers is to be determined given the circumference interval.

On this note, since the formula given is;

C = 3.14d.

By making d the subject of the formula;

d = C / 3.14.

Therefore, since the lower limit of the circumference is; 10.8 and the upper limit is; 11.1

The lower and upper limit of the diameter, d can be evaluated as follows;

lower limit of d is; d = 10.8 / 3.14 = 3.44

Upper limit of d is; d = 11.1 / 3.14 = 3.76

Therefore, the required interval for diameters of the washers is; 3.44 ≤ d ≤ 3.76.

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ok I don't know go to school or sum

Answer:

Weather data includes any facts or numbers about the state of the atmosphere, including temperature, wind speed, rain or snow, humidity, and pressure. These days, we have some amazing ways to collect this kind of data. We have high-tech equipment that can measure everything with amazing accuracy.

Answer:

Slope is -5/2

Equation is y = -5/2x + 7

Step-by-step explanation:

Locate 2 coordinates on the graph (0,7) and (2,2)

Slope m = (y2-y1)/(x2-x1)

m = (2 - 7)/(2 - 0) = -5/2

Using (2,2)

y = mx + b

2 = -5/2(2) + b

2 = -5 + b

b = 7

y = -5/2x + 7

Answer:

The large number is 31, and the small number is 16

Step-by-step explanation:

Given data

let the first number be x

and the second number be y

so

x+y= 47------------1

and

y-x= 15-------------2

from eqn1

x= 47-y

put this in eqn 2

y-(47-y)=15

y-47+y=15

2y= 15+47

2y=62

divide both side by 2

x= 62/2

x=31

From eqn 1

x+y= 47

31+y=47

y=47-31

y=16

The percentage increase in average commute times between these years = 2.25%

In 2010, the average commute time for wake county workers = 23.9 mins

In 2016, the average commute time for wake county workers = 25 mins.

The increase is = 25- 23.9 = 1.1

The average commute time between the two years,

23.9+25 = 48.9 mins

Therefore, the percentage,

= 1.1/48.9×100

= 110/48.9

= 2.249%

= 2.25% to the nearest two decimal places.

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In summary d²y/dx² in terms of x and y is given by: d²y/dx² = 3/2 x + 1/4 y

Why is it?

To find d²y/dx², we need to differentiate the given differential equation with respect to x:

dy/dx = x² - 1/2 y

Differentiating both sides with respect to x:

d²y/dx² = d/dx(x² - 1/2 y)

d²y/dx² = d/dx(x²) - d/dx(1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

Now, we need to express d/dx(y) in terms of x and y. To do this, we differentiate the original differential equation with respect to x:

dy/dx = x² - 1/2 y

d/dx(dy/dx) = d/dx(x² - 1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

d²y/dx² = 2x - 1/2 (d²y/dx²)

Substituting this expression for d²y/dx² back into our previous equation, we get:

d²y/dx² = 2x - 1/2 (2x - 1/2 y)

d²y/dx² = 2x - x/2 + 1/4 y

d²y/dx² = 3/2 x + 1/4 y

Therefore, d²y/dx² in terms of x and y is given by:

d²y/dx² = 3/2 x + 1/4 y

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Answer:

1,056

Step-by-step explanation:

Answer 32x33=33x32 easy

There would be approximately 43,149 U.S. half dollars in a stack that is the same height as the Statue of Liberty.

To determine the number of U.S. half dollars that would be in a stack the same height as the Statue of Liberty, we need to convert the height of the statue from feet to millimeters and then divide it by the thickness of a single half dollar.

First, let's convert the height of the Statue of Liberty from feet to millimeters. We know that 1 foot is equal to 304.8 millimeters (rounded to the nearest tenth). Therefore, the height of the Statue of Liberty in millimeters is:

305 ft * 304.8 mm/ft = 92918 mm (rounded to the nearest whole number)

Next, we need to determine the thickness of a U.S. half dollar. Given that each half dollar is 2.15 mm thick, we can now calculate the number of half dollars in a stack that is the same height as the Statue of Liberty:

Number of half dollars = Height of stack / Thickness of a half dollar

Number of half dollars = 92918 mm / 2.15 mm

Number of half dollars ≈ 43149 (rounded to the nearest whole number)

Therefore, there would be approximately 43,149 U.S. half dollars in a stack that is the same height as the Statue of Liberty.

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Answer:

For the first one if solving for y, y=−8x−16. If solving for x,

x= −1/8y-2

For the second one if solving for y, y=3x−5 and if solving for x,

x=1/3y +5/3

Answer:

- 50

Step-by-step explanation:

x = 3

f ( x ) = - 4x^2 - 3x - 5

f ( 3 )

= - 4 ( 3 )^2 - 3 ( 3 ) - 5

= - 4 ( 9 ) - 3 ( 3 ) - 5

= - 36 - 9 - 5

= - 50

Answer:

Hence the second graph is correct (top right hand corner).

Step-by-step explanation:

The point where the line cuts the y axis is the y intercept

For the second graph, we can see that the line cuts the line at the positive values of the y axis, hence the intercept is greater tahn zero.

Also the slope of the line is greater than zero since the coordinate points where the line cuts both x and y axis are also on the positive side of the graph. Hence the second graph is correct (top right hand corner).

Question #2 Answer: 76

Calculate 4 to the power of 3 and get 64.

64−(−3)381​+9≈76

Calculate −3 to the power of 3 and get −27.

64−−2781​+9=76

Divide 81 by −27 to get −3.

64−(−3)+9=76

The opposite of −3 is 3.

64+3+9=76

Add 64 and 3 to get 67.

67+9=76

Add 67 and 9 to get 76.

76

---------------------------------------------------------------

Question #3 Answer: -4

Calculate 2 to the power of 4 and get 16.

16−324​−12=−4

Divide 24 by 3 to get 8.

16−8−12=−4

Subtract 8 from 16 to get 8.

8−12=−4

Subtract 12 from 8 to get −4.

−4

Using proportions, it is found that both patterns have the same number of ovals.

For Phil:

1 oval - 2 shapes

x oval - 96 shapes

Applying cross multiplication:

\(2x = 96\)

\(x = \frac{96}{2}\)

\(x = 48\)

For Stacy:

2 oval - 4 shapes

x oval - 96 shapes

Applying cross multiplication:

\(4x = 192\)

\(x = \frac{192}{4}\)

\(x = 48\)

Both patterns have the same number of ovals.

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Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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Answer:

I assume that this is a math question not a chemistry question...

In math I assume the answer is 1 liter....

total = 2 liters (1 liter water 1 liter ammonia )

If this is a chemistry question there is a difference between total

volume, and total weight, which would not result in the answer being 1 liter

Step-by-step explanation:

The total surface area of the cube is 150 square units.

A cube is a three-dimensional solid object that has six square faces, where each face is perpendicular to the adjacent face, and all faces are of equal size. It is a regular polyhedron, which means all its faces are congruent regular polygons, and all its edges are congruent. A cube has 12 edges, eight vertices, and six faces. The distance from one vertex to the opposite vertex, passing through the center of the cube, is called the diagonal of the cube. The length of the diagonal is equal to the square root of three times the length of one side of the cube. A cube is a fundamental shape in geometry and is commonly used in mathematics, architecture, and engineering.

The cube has 6 square faces, each with an area of (5 units)^2 = 25 square units. Therefore, the total surface area of the cube is:

6 x 25 = 150 square units

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The cube has 6 square sides, each of which is \((5\ units)^{2} =25\) square units in total. As a result, the cube's entire surface area is: 150 square units.

A cube is a solid three-dimensional object with six square sides that are all of the same size and perpendicular to one another. Since it is a regular polyhedron, all of its sides and edges must be congruent regular polygons. Eight vertices, six sides, and twelve edges make up a cube.

The diagonal of the cube is the distance traversing the centre of the cube from one vertex to the opposing vertex. The square root of three times the length of one cube side is equivalent to the length of the diagonal. A cube is a basic geometric shape that is frequently used in engineering, building, and mathematics.

The cube has 6 square sides, each of which is \((5\ units)^{2} =25\) square units in total. As a result, the cube's entire surface area is:

150 square units.

6 x 25 = 150 square units

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Answer:

y = 5.4x + 23.5

Step-by-step explanation:

Since the service charges $23.50 for every hour, you have to multiply x by 23.5 like this: 23.5

There is a flat fee of $23.50, so you have to add 23.5 on top of that like this: 5.4x + 23.5

All of this has to add up to y; 5.4x + 23.5 = y

The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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Answer:

17% of 120 is 20.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

y= 2/3 x+ -14/3

Answer:

-2/3

Step-by-step explanation:

plug in the quadratic formula.

the quadratic formula is  (-b±√(b²-4ac))/(2a)

A in this scenario would be 3,

B in this scenario would be -7

C in this scenario would be -6

plugging in these values into the formula states that both solutions are 3, and -2/3

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Answer:

[5] \(2x^2+xy+-3y^2\)

[6] \(2x^3+-7x^2+-3x\)

[7] \(4a+2b\)

[8] \(6x+2y-5\)

[9] \(x^2-3xy-10y+75\)

Step-by-step explanation:

Let's start with [5]

\(3x^2-2xy-2x^2-(x^2-3xy+y^2)\)

Distribute the Negative Sign:

\(=3x^2-2xy-2y^2-1(x^2-3xy+y^2)\)

\(=3x^2+-2xy+-2y^2+-1x^2+-1(-3xy)+-1y^2\)

\(=3x^2+-2xy+-2y^2+-x^2+3xy+-y^2\)

Combine like term

\(=3x^2+-2xy+-2y^2+-x^2+3xy+-y^2\)

\(=(3x^2+-1x^2)+(-2xy+3xy)+(-2y^2+-y^2)\)

\(=2x^2+xy+-3y^2\)

Answer = \(2x^2+xy+-3y^2\)

-------------------------------------------------------------------------------------------------------------

[6] \(\left(2x^3-5x^2-3x\right)-2x^2\)

Combine like terms

\(\left(2x^3-5x^2-3x\right)-2x^2\)

\(=(2x^2)+(-5x^2+-2x^2)+(-3x)\)

\(=2x^3+-7x^2+-3x\)

Answer = \(2x^3+-7x^2+-3x\)

-------------------------------------------------------------------------------------------------------------     [7]  \(4a-(3a-2b)+3a\)

\(=4a+-3a+2b+3a\)

Combine like terms:

\(=(4a+-3a+3a)+(2b)\)

\(=4a+2b\)

Answer = \(4a+2b\)

-------------------------------------------------------------------------------------------------------------

[8]  \(\left[3x-\left[x-4x+2y\right)+4y\right]-5\)

\(3x-(-3x-2y+4y)-5\)

\(=3x-(-3x+2y)-5\)

\(=3x+3x-2y-5\)

\(=6x-2y-5\)

Answer = \(6x-2y-5\)

-------------------------------------------------------------------------------------------------------------

[9] \(x^2-3xy+5\left\{2+\left[y-3\left(y-6\right)-5\right]\right\}\)

Combine likes terms

\(x^2-3xy-10y+75\)

Answer = \(x^2-3xy-10y+75\)

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