Simplify.

3 square root of -27n^27

A. 3n^3

B. -3n^3

C. -3n^9

We can write 56% as a fraction to the simplest form as [tex]\mathbf{= \dfrac{14}{25} }[/tex]

A fraction is a numeric value divided into two parts, the upper part(numerator) and the lower part(denominator) which are separated by a division line.

From the given information:

56% can be written in fraction as [tex]\mathbf{\dfrac{56}{100}}[/tex]

Now, to its simplest form means to divide the numerator and the denominator to their lowest term. By doing so, we have:

[tex]\mathbf{\dfrac{56}{100}}[/tex]

Divided by (2)

[tex]\mathbf{= \dfrac{28}{50} }[/tex]

Divided by (2)

[tex]\mathbf{= \dfrac{14}{25} }[/tex]

Therefore, we can conclude that 56% as a fraction to the simplest form is [tex]\mathbf{= \dfrac{14}{25} }[/tex] since no other number can go in both the numerator and the denominator.

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Answer:

12

Step-by-step explanation:

because if you put it all together it will equal 12

Let x = the number of pounds of Type A coffee.

We know that this month's blend used 3 times as many pounds of type B coffee as type A coffee.

Total pounds of coffee =  x + 3x

The total cost is:

(cost for Type A)(x) + (cost for Type B)(3x) = $603.45

$4.80x + $5.85(3x) = $603.45

$4.80x + $17.55x = $603.45

$22.35x = $603.45

x = 603.45/22.35 = 27 pounds

The graph 3 whose inverse is not a function.

The inverse function agrees with the resultant, operates and reaches back to the original function. If you consider functions, f and g are inverse, f(g(x)) = g(f(x)) = x.

Horizontal Line Test :-

Let f be a function. If any horizontal line intersects the graph of f more than once, then f does not have an inverse. If no horizontal line intersects the graph of f more than once, then f does have an inverse.

So, according to the definition, the only graph which follows the rule of horizontal lines test is the graph 3.

Hence, the graph 3 whose inverse is not a function.

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By using the horizontal line test, a relation whose inverse is not a function is: D. relation D.

In Mathematics and Euclidean Geometry, the horizontal line test states that if the graph of a function (f) is intersected by any horizontal line more than once, then, the function (f) does not have an inverse.

Conversely, if the graph of a function (f) isn't intersected by any horizontal line more than once, then, the function (f) has an inverse.

By critically observing the graph of the given relation shown in the image attached below, we can logically deduce that it does not have an inverse because it didn't pass the horizontal line test.

To estimate 93 × 87 using mental math, round 87 to 90, multiply by 93 to get 8370, and subtract 3 × 93 (279) for an estimate of 8091.

To find 93 × 87 using mental math, we can employ a strategy that simplifies the multiplication process. One way is to round one of the numbers to the nearest multiple of ten, perform the multiplication, and then adjust the result accordingly. Here, we can round 87 up to 90 and multiply 93 by 90. This is easier because 90 is a multiple of 10.

93 × 90 = (93 × 9) × 10  = 837 × 10 = 8370

Since we rounded 87 to 90, we overestimated by 3 per unit of 93. Hence, we need to subtract 3 times 93 from 8370.

3 × 93 = 279

Thus, 8370 - 279 = 8091.

We can imagine the given equation cos2 x + sin2 x = 1 to be in the form of the hypotenuse equation.

Where cos x and sin x is the base and height of the triangle and 1 is the hypotenuse.

Since 1 is the hypotenuse, it also indicates to the radius of the circle. Supposing that the center of the circle is at the origin, then at all values of x (at all values of the angle), the radius of the circle will always be the same which is equal to 1.

Therefore the equation cos2 x + sin2 x = 1 holds to be true for all values of x for a unit circle.

Answer:

DUOLINGOOOO

Step-by-step explanation:

keeps you persistent through notifications so turn it on

Answer:

10,000,000

This is the answer because you have to do 10^7 because 3 of ten dights are filled so you have seven dights remaining. And yeah, i already checked it in my homework thingy fir RSM cuz I had the same problem. So yeah. I hope everyone who sees this has a lovely and beautiful day.

Quote of the day is: Everyone Suffers. Thats the truth. You have you pain and I have mine. But in your life, you pain will come to an end. Don't waste good opportunities and don't be afraid to hide yourself of how you look, or act, or your race and sexuality. Think of it like this, if your pain is a dark tunnel, you are so close to the end you can almost touch the light, so keep moving!

                                               -Me

                              Hope everyone has a great day and an amazing life ahead

The surface area of the sphere is SA = 324π cm².

Calculate the surface area of the sphere by using the formula: SA = 4πr².

To find the value of r, substitute SA = 324π in the above formula.

324π = 4πr²

81 = r²

r = ± 9.

The measurements of the sphere cannot be expressed in negative sign.

The radius of the sphere is r = 9 cm.

Calculate the surface area of the sphere by using the formula: V = (4/3)πr³.

Substitute r = 9 in the above formula

V = (4/3)π 9³ = 972π cm³.

Answer:

Step-by-step explanation:

tanα=height/distance

tanα=h/d

d=h/tanα  so

d1=h/tanα  and d2=h/tanß

Then the distance between them is:

d=h/tanß-h/tanα, we know that h=1300, α=(90°-71.9°=18,1°), and ß=90°-27.1°=62.9°) so

d=(3100*tan62.9)-(3100*tan18.1) meters

d≈2116 (to nearest meter)

Through setting up and solving the equation 1/3 * x + 2 = 8, where x represents the number of Saturn's moons, it was determined that Saturn is known to have 18 moons.

The student's question pertains to a comparison of the moons of Neptune and Saturn, using mathematical operations to deduce the number of known moons of Saturn. First, we're told that Neptune has 8 known moons, which is said to be 2 more than 1/3 of the number of known moons on Saturn. We are seeking to solve for the number of moons that Saturn has.

To find out, we set up an equation where 1/3 of the number of moons of Saturn plus 2 equals the number of Neptune's moons: 1/3 * x + 2 = 8, where x represents the number of Saturn's moons. Solving for x, we subtract 2 from both sides to get 1/3 * x = 6. We then multiply both sides by 3 to isolate x and find that x = 18.

Therefore, Saturn is known to have 18 moons according to the given information.

If each dimension was doubled, the volume of the prism would be: B. 896 cm³.

In Geometry and Mathematics, a scale factor simply refers to the ratio of two corresponding side lengths in two similar geometric figures such as pentagons, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.

In Geometry, the scale factor of the dimensions of a geometric figure can be calculated by using the following formula:

Scale factor of volume = (Scale factor of dimensions)³

Scale factor of volume = (2)³

Scale factor of volume = 8

Therefore, the new volume is given by;

New volume of prism = 112 × 8

New volume of prism = 896 cm³.

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Answer:

[tex]y^3 - 8y^2 + 8y+5)[/tex]

Step-by-step explanation:

Take [tex]2y^2 - 3y - 5[/tex] from [tex]y^3 - 6y^2 + 5y[/tex]

Subtract [tex]2y^2 - 3y - 5[/tex] from [tex]y^3 - 6y^2 + 5y[/tex]

[tex]y^3 - 6y^2 + 5y-(2y^2 - 3y - 5)[/tex]

Multiply negative sign inside the parenthesis

[tex]y^3 - 6y^2 + 5y- 2y^2 + 3y +5[/tex]

Combine like terms

[tex]y^3 - 8y^2 + 8y+5[/tex]

Answer:

Step-by-step explanation: y3 - 8y2 + 8y + 5 (Take 2y 2 - 3y - 5 from y 3 - 6y 2 + 5y. Select the correct answer.)

Answer:

A. 833

Step-by-step explanation:

Given:

The growth of a new strain of bacteria is represented by [tex]y = 79.31(1.48)^x[/tex], where "x" represents the number of days and "y" represents the number of bacteria.

We need to find the number of bacteria on day 6.

So, here x = 6, we need to plug in x = 6 in the given function and find the answer.

[tex]y = 79.31(1.48)^6[tex]

Simplify the above expression, we get

y = 833.49

The bacteria cannot be in decimal form, let's round off the answer to nearest whole number.

y = 833

Therefore, answer is A. 833

Answer:

x = 6

Step-by-step explanation:

Given : Fiona decides to join a gym :

A joining fee of $100

A monthly fee of $38

x represents the number of months.

Fiona has allocated a maximum of $328 to spend on her gym        membership

Her total membership fee for that duration of time: 100 + 38x = C

Solution :

It is given that Fiona has allocated a maximum of $328 to spend

So, C = $328

Putting this value in equation 100 + 38x = C

⇒[tex]100+38x=328[/tex]

⇒[tex]38x=328-100[/tex]

⇒[tex]38x=228[/tex]

⇒[tex]x=\frac{228}{38}[/tex]

⇒[tex]x=6[/tex]

Thus, x = 6 is number line that shows the possible number of months that Fiona can be a member of the gym.

The equation of the parabola with a vertex at (-2, -20) and a y-intercept at (0, -12) is y = 2x^2 + 8x - 12.

To find the equation of the parabola, we can use the vertex form of a parabola's equation, which is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola, and 'a' is a coefficient that determines the parabola's width and direction. Since we have the vertex (-2, -20) and the y-intercept (0, -12), we can plug in these values to solve for 'a':

y = a(x - (-2))^2 - 20

Using the y-intercept:

-12 = a(0 - (-2))^2 - 20

-12 = 4a - 20

8 = 4a

a = 2

The equation of the parabola is therefore:

y = 2(x + 2)^2 - 20

Expanding the equation:

y = 2(x^2 + 4x + 4) - 20

y = 2x^2 + 8x + 8 - 20

y = 2x^2 + 8x - 12

The final quadratic equation of the parabola is:

y = 2x^2 + 8x - 12

To solve this problem, we make use of the formula:

y = a sqrt (b (x – h)) + k                  ---> 1

Since we are given the parent function:

y = sqrt (x)                                          ---> 2

Then this automatically means that:

a = 1       and        k = 0

So going back to equation 1 at a = 1 and k = 0:

y = 1 sqrt (b (x – h))

Since it is given that, b = 4            and        h = 1, therefore:

y = sqrt (4 (x – 1))

y = sqrt (4 x – 4)

Answer:

A. y = sqrt (4 x – 4)

The answer is C, or 113.04 cubic inches.