Solve 2x^2+x-3=0 by factoring.

Answer: the point that were left are 429

Step-by-step explanation:

i got this by multiplying 660 and 35% or .35 and got 429 and the amount left is 65% and to get that you would subtract 100% and 35% which gets you 65%.

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Mass of water vapor (g) / volume of air (m^3) is the humidity measure of absolute humidity

The humidity measure of "mass of water vapor (g) / volume of air (m^3)" is called absolute humidity. Absolute humidity is a measure of the total amount of moisture in the air, expressed as the mass of water vapor per unit volume of air. It is different from relative humidity, which is a measure of the amount of moisture in the air relative to the maximum amount of moisture that the air can hold at a particular temperature.

Mixing ratio is also a measure of the amount of moisture in the air, but it is expressed as the mass of water vapor per mass of dry air, not per unit volume of air. Vapor pressure is a measure of the pressure exerted by water vapor in the air, expressed in units of pressure (such as millibars or pascals), not as a ratio.

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Answer:

6^2 + 4(1/2)(6)(9) = 36 + 108 =

144 square meters

The circle with equilateral triangle is constructed.

What is triangle?

A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.

Here we need to construct the circle  with center D.

Now we know that in equilateral triangle , side length of the all sides are equal.

Then, AB=BC=CA.

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The composite figure that has an area of 40 square yards would be composed of a rectangle and a triangle.

It is not true that when two composite figures have the same area, they must also have the same perimeter.

The composite figure is composed of a rectangle and a triangle placed side by side. The rectangle has a width of 5 yards and a length of 6 yards. The triangle is a right triangle with a base of 4 yards and a height of 5 yards.

Area Calculation:

The area of the rectangle is length × width = 5 yards × 6 yards = 30 square yards.

The area of the triangle is (1/2) × base × height = (1/2) × 4 yards × 5 yards = 10 square yards.

The total area of the composite figure is the sum of the rectangle's area and the triangle's area: 30 square yards + 10 square yards = 40 square yards.

I disagree with your friend's statement that when two composite figures have the same area, they must also have the same perimeter. It is possible for two composite figures to have the same area but different perimeters.

Example:

Consider a square with a side length of 4 units. Its area is 16 square units, and its perimeter is 16 units.

Now, consider a rectangle with a length of 8 units and a width of 2 units. Its area is also 16 square units (8 x 2), but its perimeter is 20 units (8 + 8 + 2 + 2).

Both the square and the rectangle have the same area (16 square units) but different perimeters (16 units and 20 units, respectively).

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Answer:is this an actual question

Step-by-step explanation:

Answer: True

9/4 = 2 1/4

Step-by-step explanation:

:) See the images below to know more.

If man travels "3-miles", turns left ,travel "6-miles", then turn left again travels "8-miles", then he is "7.8-miles" away from the starting point, No option is correct.

The man travel 3 miles straight, so we let the "starting-point" be (0,0),

So, the point after travelling 3 miles straight will be (0,3),

Next, he turns left and travels 6 miles(now facing downwards),

So, the coordinate becomes (6,3);

Next, he Turns left again(now facing right) and travels "8 miles" to the right .

So, the final-coordinate becomes (6, -5).

Now, we calculate the distance between the final point (6, -5) and the starting point (0,0) using the distance formula, which is the square root of the sum of squares of differences in "x" and "y" coordinates:

So, Distance = √((6-0)² + (-5-0)²),

⇒ Distance = √(36 + 25),

⇒ Distance = √61 ≈ 7.8 miles.

Therefore, The distance is approximately 7.81 miles, which is not present in any of the option, So, no option is correct.

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The curve xy²=2+xy has two horizontal or vertical tangent lines, namely x = 2/3 and y = -1/3, and x = -1/3 and y = 1/3.

To find the horizontal or vertical tangent lines of the curve xy²=2+xy, we need to take the derivative with respect to x and y and solve for when the derivative equals zero.

Taking the derivative with respect to x, we get:

y^2 + 2xy(dy/dx) = y(dy/dx) + 2x

Simplifying, we get

(dy/dx)(y^2 - y) = 2x - y^2

Taking the derivative with respect to y, we get

2xy + x(dy/dy)(2y) = dy/dy + x

Simplifying, we get

(dy/dy)(x-2y) = 1-x

Setting both derivatives equal to zero, we have

(dy/dx)(y^2 - y) = 2x - y^2 ...(1)

(dy/dy)(x-2y) = 1-x ...(2)

From (2), we get

dy/dy = (1-x)/(x-2y)

Substituting into (1), we get

(1-x)/(x-2y)(y^2 - y) = 2x - y^2

Simplifying, we get

y^3 - 3xy^2 + (2x^2-1)y + x = 0

This is a cubic equation in y, which can have up to three solutions. To find the horizontal or vertical tangent lines, we need to set dy/dx = 0 or dy/dy = 0.

Setting dy/dx = 0, we get

2x - y^2 = 0

Setting dy/dy = 0, we get

x - 2y = 1

Solving these equations simultaneously, we get

x = 2/3 and y = -1/3 or x = -1/3 and y = 1/3

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The given question is incomplete, the complete question is:

In the xy-plane, how many horizontal or vertical tangent lines does the curve xy²=2+xy have?

We can write the equation as:

y = 80 sin(2π/5 t) + 280

Finding the oscillation's period will help us get started. Since the height repeats every five minutes, it appears from the graph that the period is five minutes.

The distance between the oscillation's highest and lowest points, or its amplitude, can then be determined. Given that 80 feet separate the highest and lowest points on the graph, it appears that the amplitude is 80 feet.

We  determine the vertical shift of the graph, which is the height of the Ferris wheel when t = 0. From the graph, it appears that the vertical shift is 280 feet, since that is the height of the car when t = 0.

Putting it all together, we can write the equation as:

y = 80 sin(2π/5 t) + 280

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Answer: x = 2 and x = -2.

Step-by-step explanation:

The solutions to the equation 9x^2 = 36 can be found by first dividing both sides by 9, giving x^2 = 4. Then, taking the square root of both sides gives x = ±2. Therefore, the solutions are x = 2 and x = -2.

Answer:

Step-by-step explanation:

9x^2 = 36 | :9

x^2 = 4

x=+-2

a) Elroy needs to purchase 5 times the Perimeter feet of roping.

b) About 48% of the surface area of the platform will have gold leaf.

(a) To find the perimeter of the trapezoidal prism, we need to find the lengths of all four sides. Let's call the shorter base of the trapezoid "b1", the longer base "b2", and the height "h". Then we have:

b1 = [tex]\sqrt{4ft^{2} }[/tex] = 2t[tex]\sqrt{f}[/tex]

b2 = b1 + 2h = 2t[tex]\sqrt{f}[/tex]  + 2(3.2) = 2t[tex]\sqrt{f}[/tex]  + 6.4

h = 3.2

The perimeter is then:

P = b1 + b2 + 2h = 2t[tex]\sqrt{f}[/tex]  + 6.4 + 2(3.2) = 2t[tex]\sqrt{f}[/tex]  + 12.8

So Elroy needs to purchase 5P feet of roping:

5P = 5(2t[tex]\sqrt{f}[/tex]  + 12.8) = 10t[tex]\sqrt{f}[/tex] ) + 64

(b) The total surface area of the trapezoidal prism is:

A = 2(b1+b2)h + 2b1t = 2(2t[tex]\sqrt{f}[/tex]  + 2t[tex]\sqrt{f}[/tex]  + 6.4)(3.2) + 2(2t[tex]\sqrt{f}[/tex] )(t) = 12.8t[tex]\sqrt{f}[/tex] + 25.6f[tex]t^{2}[/tex]

The area that will have gold leaf is the lateral surface area, which is:

[tex]A_{lateral}[/tex] = (b1 + b2)h = (2t[tex]\sqrt{f}[/tex]  + 2t[tex]\sqrt{f}[/tex]  + 6.4)(3.2) = 20.48t[tex]\sqrt{f}[/tex]

So the percentage of the area that will have gold leaf is:

([tex]A_{lateral}[/tex]  / A) x 100% = (20.48t[tex]\sqrt{f}[/tex]  / (12.8t[tex]\sqrt{f}[/tex]  + 25.6f[tex]t^{2}[/tex])) x 100%

Simplifying:

([tex]A_{lateral}[/tex]  / A) x 100% = (20.48 / (12.8 + 25.6/[tex]t^{2}[/tex])) x 100%

Using the given values of f = 1/2 and t = 2, we get:

([tex]A_{lateral}[/tex]  / A) x 100% = (20.48 / (12.8 + 25.6/4)) x 100% ≈ 48%

Therefore, about 48% of the surface area of the platform will have gold leaf.

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The equation in standard form is (x- (-12))² + (y - 0)²  = (√164)²

The standard form of the equation of a circle is

(x-a)² + (y-b)² = r²

where (a, b) is the center and r is the radius

Using the completing square method on the given equation:

24x + y² = -x² + 20

x²+ 24x + y² = 20

[x² + 24x + (12)²] + [y² + 0x + (0)²] = 20 + (12)²

(x + 12)² + (y + 0)² = 164

(x - (-12))² + (y - 0)² = 164

(x- (-12))² + (y-0)²  = (√164)²

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Answer:

725

Step-by-step explanation:

8250-1000= 7250

(7250x10)/100=725

10% of 7250=725

Answer: 7,150

Step-by-step explanation: It says that you have a deductible of $1,000 and a co-insurance of 10% so you add the $1,000 with the 10% and that will give you $1,100. Then we have the medical bill which is $8,250 so what we will do next is to minus the $8,250 from the $1,100 that we got from the $1,000 and 10% so, when we minus the $8,250 with $1,100 we will get $7,150 and that is your answer.

I hope this helps!

The surface area for each package is given as follows:

Hence:

Package A has the greater surface area.

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

For Package A, the dimensions are given as follows:

l = 14 in, h = 12 in, w = 3 in.

Hence the surface area is given as follows:

S = 2 x (12 x 3 + 14 x 3 + 12 x 14)

S = 492 in².

For Package B, the dimensions are given as follows:

l = 11 in, h = 6 in, w = 8 in.

Hence the surface area is given as follows:

S = 2 x (11 x 6 + 11 x 8 + 6 x 8)

S = 404 in².

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Answer:

  C. Vertical angles

Step-by-step explanation:

Given angles 5 and 8 where line c crosses line a, you want to know what type they are.

Where two lines cross, four angles are formed. They all share the vertex point where the lines intersect. If they share a side (and no interior space), they are adjacent angles that form a linear pair. As such, they are supplementary.

In the given figure the supplementary angle pairs where line c crosses line a are ...

  (5, 6), (6, 8), (7, 8), (5, 7)

If the angles do not share a side, but are formed from opposite rays, they are "vertical angles" and are congruent.

The vertical angle pairs there are ...

  (5, 8), (6, 7)

Angles 5 and 8 are vertical angles, choice C.

__

Additional comment

Angle pairs (1, 8) and (2, 7) are "alternate exterior angles." Angle pairs (3, 6) and (4, 5) are "alternate interior angles."

Assuming lines b and c are parallel, considering also angles where line b crosses line a, there are additional supplementary pairs of angles:

  (1, 2), (2, 4), (3, 4), (1, 3), (1, 6), (1, 7), (2, 5), (2, 8), (3, 5), (3, 8), (4, 6), (4, 7)

When parallel lines are crossed by a transversal, all of the acute angles are congruent, all of the obtuse angles are congruent, and the acute angles are supplementary to the obtuse angles. The angles are referred to by different names (and different theorems), depending on where they are in relation to the transversal and the parallel lines.

The problem here is mostly concerned with vocabulary. The "how to do this" is "learn the vocabulary."

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Answer: 59 degrees

Step-by-step explanation:

A triangle has a total of 180 degrees so we subtract that by the values we already know the get the last angle.
180-31-90= 59 degrees

the Udderly Delicious Cheese Factory uses a total of 550 gallons of milk each day to produce 200 blocks of cheddar cheese and 200 blocks of Swiss cheese.

How to calculate the question?

To calculate the total gallons of milk used by the Udderly Delicious Cheese Factory each day, we need to determine the total quarts of milk used to produce 200 blocks of cheddar cheese and 200 blocks of Swiss cheese.

For the cheddar cheese production, we know that each block requires 5 quarts of milk, so for 200 blocks, the factory would need:

200 blocks x 5 quarts/block = 1000 quarts of milk

For the Swiss cheese production, we know that each block requires 6 quarts of milk, so for 200 blocks, the factory would need:

200 blocks x 6 quarts/block = 1200 quarts of milk

To find the total quarts of milk used by the factory each day, we can add the amount of milk used for cheddar cheese production to the amount used for Swiss cheese production:

1000 quarts + 1200 quarts = 2200 quarts

To convert quarts to gallons, we divide the total quarts by 4, since there are 4 quarts in 1 gallon:

2200 quarts / 4 = 550 gallons

Therefore, the Udderly Delicious Cheese Factory uses a total of 550 gallons of milk each day to produce 200 blocks of cheddar cheese and 200 blocks of Swiss cheese.

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Answer:

y = (1/25)x^2 - 1

Step-by-step explanation:

To begin, we can use the fact that the x-intercepts of the parabola are at (5, 0) and (-6, 0) to determine the x-intercepts form of the equation. The x-intercepts form of a parabola is given by:

(x - r)(x - s) = 0,

where r and s are the x-coordinates of the x-intercepts.

Using this form, we can write:

(x - 5)(x + 6) = 0

Expanding this equation gives:

x^2 + x - 30 = 0

Next, we use the fact that the vertex of the parabola is at (0, -1) to determine the y-intercept form of the equation. The y-intercept form of a parabola is given by:

y = a(x - h)^2 + k,

where (h, k) is the vertex.

Substituting (0, -1) into this equation gives:

y = a(x - 0)^2 - 1

Simplifying gives:

y = ax^2 - 1

Now we can use the fact that the parabola passes through the point (5, 30) to determine the value of a. Substituting x = 5 and y = 0 into the equation above gives:

0 = a(5)^2 - 1

Solving for a gives:

a = 1/25

Substituting this value of a into the equation above gives the final equation of the parabola:

y = (1/25)x^2 - 1

5/0-6/0-41=

hope that helps okay :) if not really really sorry

An appropriate tree diagram.
            /    \

           /      \

   0.6 /         \ 0.4

       /             \

     R               NR

    / \                /  \

  /     \             /       \

0.6    0.4    0.6    0.4

 R     NR     R        NR

Where R represents rain and NR represents no rain.

By using the multiplication principle, we can calculate the probabilities of all the outcomes by multiplying the probabilities along each path. The probability of there being no rain today and no rain tomorrow is the probability of following the path NR-NR, which has a probability of

P(NR-NR) = P(NR|NR) * P(NR) = 0.4 * 0.4 = 0.16

Hence, the probability that there will be no rain today and no rain tomorrow is 0.16 or 16%.

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0.3895 Answer

Step-by-step explanation:

I thought you meant it on paper.

Answer:

0.3895

Step-by-step explanation:

Write out the division problem: 389.5 ÷ 1000.

Since we're dividing a decimal number by 1000, we can simply move the decimal point three places to the left to convert 1000 to 1.000: 389.5 ÷ 1.000.

Moving the decimal point three places to the left also means we need to add three trailing zeroes to the dividend: 389.5 becomes 389.500.

Now we can perform the long division: divide 3 by 1, write the quotient 3 above the 8, and subtract 3 from 8 to get 5 as the new remainder. Bring down the next digit 8 to get 58.

Divide 58 by 1, write the quotient 58 above the 9, and subtract 58 from 89 to get 31 as the new remainder. Bring down the next digit 5 to get 315.

Divide 315 by 1, write the quotient 315 above the decimal point, and subtract 315 from 389 to get 74 as the new remainder.

Since there are no more digits to bring down, we've reached the end of the long division. The final quotient is 0.3895.

Don't forget to include the decimal point in the answer, since we moved it three places to the left in step 2. The final answer is 0.3895.

So, 389.5 ÷ 1000 = 0.3895.

The Junior class sold 165 slices of pizza.

Let x represent the number of hamburgers sold and y represent the number of slices of pizza sold.

The total amount from sales: 1.35x + 0.75y = 292.50

They sold 40 more slices of pizza than hamburgers: y = x + 40

Now, we'll solve the system of equations using the substitution method:

Substitute the second equation into the first equation:
1.35x + 0.75(x + 40) = 292.50

Distribute $0.75 through the parentheses:
1.35x + 0.75x + 30 = 292.50

Combine like terms:
2.10x + 30 = 292.50

Subtract 30 from both sides of the equation:
2.10x = 262.50

Divide both sides by 2.10 to solve for x:
x = 125

Now that we know there were 125 hamburgers sold, we can use the second equation to find the number of slices of pizza sold:

y = x + 40
y = 125 + 40
y = 165
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The actual height of the tower is 160 feet.

Given that, a scale model of a tower is 24 inches.

The scale is 1.5 inches:10 feet.

We know that, 1 foot = 12 inches

So, the scale 1.5 inches : 120 inches.

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

1.5/120 = 24/The actual height of the tower

1.5×The actual height of the tower = 24×120

The actual height of the tower=2880/1.5

= 1920 inches

In feet = 1920/12

= 160 feet

Therefore, the actual height of the tower is 160 feet.

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The line tangent to f(x) = x + sin(x) is parallel to the secant line connecting the endpoints at x = π on the interval [-2π, 2π].

Let's begin by finding the slope of the secant line connecting the endpoints of the function. The endpoints of the function on the interval [-2π, 2π] are (-2π, -2π + sin(-2π)) and (2π, 2π + sin(2π)), which evaluate to (-2π, 0) and (2π, 0), respectively.

The slope of the secant line is

m = (0 - 0)/(2π - (-2π)) = 0

Since we want the tangent line to be parallel to the secant line, the slope of the tangent line should also be 0. We can find the equation of the tangent line using the point-slope form

y - (x + sin(x)) = 0

y = x + sin(x)

To find the points on the interval where the tangent line is parallel to the secant line, we need to find the values of x where the derivative of f(x) is equal to 0 (i.e., where the slope of the tangent line is 0). The derivative of f(x) is

f'(x) = 1 + cos(x)

Setting this equal to 0 and solving for x, we get

cos(x) = -1

x = π

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The given question is incomplete, the complete question is:

At how many points on the interval [-2pi, 2pi] is the line tangent to f(x)=x+sin x parallel to the secant line connecting the function endpoints?

The value of cos(2θ) is 1/2

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.

If cos(tetha) = √3/2

this means the adjascent is √ 3 and the hypotenuse is 2

therefore ;

opp = √ 2²- √3)²

= √4-3

= √1

= 1

therefore sin(tetha) = 1/2

cos(2θ) = cos²(tetha) -sin²(tetha)

cos²(tetha) = (√3/2)² = 3/4

sin²(tetha) =( 1/2)² = 1/4

cos(2θ) = 3/4 - 1/4 = 2/4 = 1/2

therefore the value of cos(2θ) is 1/2

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There were about 557 principals in attendance based on the prediction

To make a prediction about the number of principals in attendance at the conference, we can assume that the proportion of principals in the exhibit room is similar to the proportion of principals in the whole conference.

In the exhibit room, out of 70 people, 52 were principals.

So, the proportion of principals in the exhibit room was 52/70

We can predict the number of principals in attendance at the conference as follows:

Number of principals = proportion of principals x total number of attendees

If we plug in the values, we get:

number of principals = 52/70 x 750 = 557

So, based on this prediction, we can say that there were 557 principals in attendance at the conference.

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Answer:

Properties of Hyperbolic Functions

This function's domain is (−∞,∞) and the range is (−1,1) .

Step-by-step explanation:

Hope this helps! =D

Answer:

3568 or 3567

Step-by-step explanation:

42820 divided by 12

Answer:

Step-by-step explanation:

The height of a tree would be the height of its root node, or equivalently, the depth of its deepest node.