Which inequality in factored form represents the region less than the quadratic function with zeros-40 and 50 and
includes the point (-55,-75) on the boundary line?
Oy<-(x-40)(x-50)
Oys-(x+40)(x+50)
Oys-(x-40)(x-50)
Oy<(x+40) (x + 50)

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.

(a) The given units can be converted as follows: 6 glints = 1 filn...

(1)12 grees = 1 zool...

(2)2 grees = 10 twibbs...

(3)5 grees = 1 bic...

(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:

7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord

(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.

1 mega = 106

Thus 1 megafiln = 106 filn

16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.

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Answer:

No

Step-by-step explanation:

The given inequality is b < 1.  We determine whether or not b = 5 is a solution by substituting 5 for b and asking ourselves whether the resultant inequality is true or not:

5 < 1 is FALSE and so b = 5 is NOT a solution of the given inequality.

Answer:

Step-by-step explanation:

The key here is the "discriminant."  That's b^2 - 4ac, where a, b and c are the coefficients of the quadratic.

If the discriminant turns out to be positive, we have two real, different roots.

If the discriminant turns out to be zero, we have two real, equal roots.

Finally, if the discriminant turns out to be negative, we have two complex, different roots.  

Just supposing that a = 1 and b = 2, the discriminant would be

2^2 - 4(1)c.  Set this equal to 0 and solve for c:  4 - 4c = 0, or c = 1.  If c is greater than 1, the discriminant will be negative and we will have two comlex, different roots.

Answer:

C.

Step-by-step explanation:

A. 5/8=0.625

B. 4/16=0.25

C. 15/6=2.5

D. 10/12=0.83

\(\bold{Hey\ there!}\)

\(\bold{-4p - 4p = \ ?}\\\ \bold{-4 - 4 = -8}\\\bold{-p - p = -p}\\\bold{-4p - 4p=\underline{-8p}}\\\boxed{\boxed{\bold{Answer: -8p}}}\checkmark\)

\(\text{\bold{Good luck on your assignment and enjoy your day!}}\)

~\(\frak{LoveYourselfFirst:)}\)

Answer:

it's -8p

Step-by-step explanation:

Pls don't delete my question its annoying

Step-by-step explanation:

The location of the vessel in distress is located in between ship A and ship B,

to the right of ship A and to the top left of ship B

to arrive at the answer we have to understand the cardinal point system.    

kindly find attached a detail sketch of the location of the ships and the point of distress call  

Answer:

No solution

Step-by-step explanation:

On the left side we have one half x plus one half x  which equals x.  On the right side we have x + 1.  So the equation becomes x = x + 1.  Subtracting x from both sides we get 0 = 1, which is false.  Therefore there is no solution to this problem.  

The standard deviation for the given probability distribution is approximately 1.13.

To find the standard deviation for the given probability distribution, follow these steps:

1. Calculate the mean (μ): μ = Σ[x × P(x)]
2. Calculate the variance (σ²): σ² = Σ[(x - μ)² × P(x)]
3. Find the standard deviation (σ): σ = √σ²

Using the given probability distribution:

1. Calculate the mean (μ):
μ = (0 × 0.37) + (1 × 0.05) + (2 × 0.13) + (3 × 0.25) + (4 × 0.20) = 0 + 0.05 + 0.26 + 0.75 + 0.80 = 1.86

2. Calculate the variance (σ²):
σ² = [(0 - 1.86)² × 0.37] + [(1 - 1.86)² × 0.05] + [(2 - 1.86)² × 0.13] + [(3 - 1.86)² × 0.25] + [(4 - 1.86)² × 0.20] = 1.2782

3. Find the standard deviation (σ):
σ = √1.2782 ≈ 1.13

So, the standard deviation for the given probability distribution is approximately 1.13.

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Answer:

13

Step-by-step explanation:

x/20 = 65%/100

20 x 65 = 1300

1300 divided by 100 = 13

Answer:13

First you have to turn the percent into a decimal, and then multiply it by the original number.

Answer:

0.333333333

Step-by-step explanation:

I hope this helps!!!!

Answer:

325 tickets

Step-by-step explanation:

Total amt. of tickets sold= 712

Adults- x

Students- x+62

712 - 62 = 650 tickets

650÷2= 325

Adults- 325 tickets

Students- 325 + 62= 387

The number of randomly selected Americans that must be surveyed is equal to 38 if the confidence interval is 97.5% with a 0.16 margin of error.

First, we calculate the critical value as follows;

a = (1 - 0.975) = 0.025 = 0.025 / 2 = 0.0125 = (1 - 0.0125) = 0.9875

Z - Critical value = NORM.S.INV (0.9875) = 1.96

As margin of error(ME) = 0.16

Therefore;

n = pq(Z²) / ME²

n = 0.5 × 0.5 (1.96)² / (0.16)²

n = 0.25 × 3.8416 / 0.0256

n = 0.9604 / 0.0256

n = 37.515

Rounding it to the nearest whole number;

n = 37.515 = 38

Hence 38 randomly selected Americans must be surveyed if the estimated confidence interval is 97.5% and the margin of error is 0.16.

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Answer:

the answer would be a % because of the divisibility rule

The actual roots of the function \(f(x)=10x^{3}+29x^{2} -66x+27\) are -9/2, 3/5 and 1.

Given  function \(f(x)=10x^{3}+29x^{2} -66x+27\).

Function is a relationship between two or more variables expressed in equal to form.

The roots of a polynomial function are the zeroes of the polynomial function. A polynomial function is a function that involves only non negative integer powers in an equation.

The polynomial function is given as:

\(f(x)=10x^{3}+29x^{2} -66x+27\)

factorize the above function

\(f(x)=(2x+9)(5x-3)(x-1)\)

Now put the function f(x) equal to zero.

f(x)=(2x+9)(5x-3)(x-1)

split the function means put all the expressions equal to zero as under:

(2x+9)(5x-3)(x-1)=0

solve each for the value of x

x=-9/2,x=3/5,x=1

Hence the roots of the function \(f(x)=10x^{3} +29x^{2} -66x+27\) are which are also the values of x are -9/2,3/5,1.

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Answer:

Step-by-step explanation:

Answer

328,268.2 mm cubed is correct!

Step-by-step explanation:

If you use the formula V=πr²h with these steps:

1. Calculate the area of the base (which is a circle)

2. use the equation πr² where r is the radius of the circle.

3. Then, multiply the area of the base by the height of the cylinder

4. The volume is found!

Answer:

328,268.2 cubic millimeters

Step-by-step explanation:

I did it on edge

The volume of the given solid over the indicated region of integration, f(x,y) = 2x + 2y - 5 and R = {(x,y): -4 ≤ x ≤ 1, 3 ≤ y ≤ 6}, is 63 units³.

To find the volume, we will integrate the function f(x,y) over the region R. Follow these steps:

1. Set up the double integral: ∬R (2x + 2y - 5) dA

2. Set up the limits of integration: ∫(from -4 to 1) ∫(from 3 to 6) (2x + 2y - 5) dy dx
3. Integrate with respect to y: ∫(from -4 to 1) [(2xy + 2y²/2 - 5y)] (evaluated from 3 to 6) dx
4. Simplify and evaluate: ∫(from -4 to 1) [6x + 18 - 5(6-3)] dx
5. Integrate with respect to x: [3x² + 18x - 15x] (evaluated from -4 to 1)
6. Simplify and evaluate: (3 + 18 - 15) - (-12 + 72 + 60)
7. Calculate the final result: 6 - (-30) = 36

The volume of the region is 63 units³.

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Answer:

52cm

Step-by-step explanation:

6^2 = 36

4^2 = 16

16+36= 52

Answer:

y = -1/5 x + 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here's the answers I got. Sorry super busy at school ahh

Answer:okay

Step-by-step explanation:hm

Answer: 17

Step-by-step explanation: 4 - 2 + 3 x 5,

4 - 2 + 15

The required distance of the point from the line is given as 2 units.

Given that,

Line ℓ has equation y=7. Find the distance between ℓ and point D(-5,-7).

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
For the line l y = 7, the distance from the point D(-5, -7) is given as,
D =| l |/ |l|
D = y - 7 / √y²
Now put y = -7 in the above equation,
D = |-7 - 7 | / √7²

D = 14 / 7
D = 2

Thus, the required distance of the point from the line is given as 2 units.

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Answer:

27.7% larger

Step-by-step explanation:

6 x 113% = 6.78

9 x 113% = 10.17

Old Area = 9 x 6 = 54 sq in

New Area = 6.78 x 10.17 = 68.95

(New - Old) ÷ Old = .277 = 27.7%

The equations are y = 3x - 4 and 2y = 2x +1.

If the graph of equation intersect each other at one point then there is one solution, if line lies on one another then there are infinitely many solution and if lines are parallel to each other then there is no solution.

Plot the equation on the graph.

From the graph, it can be observed the lines intersect each other at one point only lies in first quadrant, so there is one solution located in the first quadrant.

Answer:

8 could be the answer of this but im not sure

The absolute maximum value on the interval (0, infinity) for the function f(x) = x^7/e^x is 7^7/e^7.

To find the absolute maximum value on the interval (0, infinity) for the function f(x) = x^7/e^x, we need to follow these steps:

1. Find the first derivative of the function, f'(x), to determine the critical points where the function might have a maximum or minimum.
2. Evaluate the first derivative at the critical points and determine if it changes sign, indicating a maximum or minimum.
3. Verify if the function has an absolute maximum on the given interval.

Step 1: Find the first derivative f'(x) using the quotient rule.
f'(x) = (e^x * 7x^6 - x^7 * e^x) / (e^x)^2

Step 2: Simplify f'(x) and find the critical points.
f'(x) = x^6(7 - x) / e^x
f'(x) = 0 when x = 0 (not included in the interval) or x = 7

Step 3: Evaluate the first derivative around the critical point x = 7 to determine if it's a maximum or minimum.
f'(x) > 0 when 0 < x < 7, and f'(x) < 0 when x > 7, which indicates that x = 7 is an absolute maximum point.

Now we can find the absolute maximum value by plugging x = 7 into the original function, f(x):
f(7) = 7^7/e^7

Thus, the absolute maximum value on the interval (0, infinity) for the function f(x) = x^7/e^x is 7^7/e^7.

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Square tile with measure of each side is 16inches have area equals to 1652 centimeters( round off to nearest square centimeters).

As given in the question,

Measure of each side length of a square tile = 16 inches

Conversion

1 inch = 2.54 centimeters

16 inches = ( 16 × 2.54 )centimeters

                = 40.64centimeters

Area of a square tile is :

= ( Side length ) × ( Side length)

= (40.64) × (40.64)

= 1651.6096 centimeters

= 1652 centimeters ( round off to nearest square centimeters)

Therefore, the area of a square tile with given measure of each side is equal to 1652 centimeters ( round off to nearest square centimeters).

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The point that is farther from the origin, and by how much is this A.  Point B is 0.4 units farther.

The point that is farther from the origin is point B and it is 0.4 units farther. To determine the point that is farther from the origin, we would use the distance formula for 3-dimensional spaces. In this case, we will have

\(d = \sqrt{((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)}\)

Now, we will apply this to points A and B. The solution for A is 7.1 while the solution for B is 7.5 and the difference is 0.4.

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Complete Question:

A graph displays point A (5, 3, 4) and point B (−4, 2, 6). Calculate the approximate distance each point is from the origin. Round to the nearest tenth.

Which point is farther from the origin, and by how much?

Point B is 0.4 units farther.

Point A is 0.4 units farther.

Point A is 2.6 units farther.

Point B is 2.6 units farther.