What is the volume of the cone shown below?

Answer:

If a is negative or zero  there are no real solutions

Step-by-step explanation:

y=ax^2-8

Set equal to zero to find the solution

0 =ax^2-8

Add 8 to each side

8 = ax^2

Divide by a  a cannot be zero or we cannot divide by it

8/a = x^2

Take the square root of each side

sqrt(8/a) = sqrt(x^2)

We need 8/a to be positive for it to have real solutions

That means a has to be positive

If a is negative or zero  there are no real solutions

Answer: -3 and 7

Step-by-step explanation:

x - 7

Add 7 to get 0

x - 7 ( + 7) = 0

x + 3

Subtract 3 to get 0

x + 3 ( - 3) = 0

Answer:

ANgle CAO measure [tex]21^o[/tex]

Step-by-step explanation:

The important procedure here is to work with the three "isosceles" triangles that are formed inside the circle all of them having a common vertex at the center of the circle (point O). Notice that all these three triangles must have two sides equal (therefore be isosceles triangles) because two sides measure exactly the radius of the circle. Have in mind then that these equal sides must oppose equal angles.

1) Triangle COB has two angles which measure [tex]32^o[/tex], due to the fact that they oppose the sides equal to the radius. Then, the third angle of the triangle (the one at the center O must measure:

[tex]180^o-32^o-32^o=116^o[/tex]

2) For triangle AOB, we can find the value at the acute angle [tex]\angle \,A[/tex] (with vertex at point  A), considering that it can be obtained by subtracting [tex]53^o[/tex] from [tex]90^o[/tex], since the radius of the circle is always perpendicular to the tangent line at the point where the radius meets the tangent. Then this acute angle must measure:

[tex]90^o-32^o=37^o[/tex]

Now, the other angle opposite to the radius must also measure [tex]37^o[/tex], so we can find the measure of the larger angle in the triangle (that with vertex at point O) by subtracting these two small angles from [tex]180^o[/tex]:

[tex]180^o=37^o-37^o=106^o[/tex]

3) Finally we get to study the third triangle (COA):

We now know the value of the central angle (that with vertex at point O), since it should be equal to the full circle [tex](360^o)[/tex]  minus the other two central angles we calculated above:

[tex]360^o-116^o-106^o=138^o[/tex]

so, now we can determine the measure of the addition of the other two small (and equal) angles of the triangle:

[tex]180^o-138^o=42^o[/tex]

Therefore, each of the angles should measure half of this value. that is each of the small acute angles measures [tex]21^o[/tex]

This is therefore the measure of the requested angle CAO.

Answer:

y = 2/3, y = 38/3

Step-by-step explanation:

20 -3y = 18

y = 2/3

20 - 3y = -18

y = 38/3

Answer:

(17,0) and (-2,19)

Step-by-step explanation:

First, find the gradient of AB, which is 1. As CD is perpendicular, its gradient will be -1. The equation of CD will be y=17-x. The x intercept is where y=0. So, that will give you x=17. When x=-2, y=19. It proves the equation right.

Answer:

2n and 2n+2 are two consecutive even numbers, then the difference of their squares is:

As we see it is multiple of 4.

Answer:

x = - 1

Step-by-step explanation:

The x- coordinate of the vertex is mid way between the roots of the quadratic.

The difference between x- coordinate of vertex and the given root is

difference = | - 3 - (- 5) | = | - 3 + 5 | = | 2 | = 2

Thus the other root is 2 units to the right of x = - 3, that is

x = - 3 + 2 = - 1

The other root is x = - 1

Answer:

$70-$2x

Step-by-step explanation:

In the beginning, your friend spent $30 on interference and food, leaving him or her $70.

Since every ride costs $2, you multiply the amount of rides he rode by 2 to get how much he spent.

He subtracted that from the money he had which was $70.

Therefore, the equation is $70 - $2x

Answer:

√27

Step-by-step explanation:

3 × √3

The square of 3 is 9.

√9 × √3

√(9 × 3)

Multiply.

√27

3√3 as a whole radical is √27.

Answer: 2.7

Step-by-step explanation:

Answer:

a) mean=1,8 b) mean=3.6 c) mean=7.2

Step-by-step explanation:

a) 2.4 +1.6+ 3.2+ 0.3+ 1.5=9

9/5=1.8  

b) 4.8+3.2+6.4+0.6+3=18

18/5=3.6

c)9.6+6.4+12.8+1.2+6=36

36/5=7.2

Answer:mean is 1.8

Step-by-step explanation:

Add all up divide by 5

Answer:

16

Step-by-step explanation:

Answer:

They both intersect eachother

Step-by-step explanation:

Answer:

94916624

Step-by-step explanation:

Your equation could be written several different ways.

Mine was: [tex]2/5(5)(83^4)-19+1[/tex]

If you written it to [tex]\frac{2}{(5)(83^4)} -19 + 1[/tex], it would be -18

Answer:

Using the two marked points we see that the slope is -3 and the y-intercept is 1 so the answer is y = -3x + 1.

Answer:

[tex]-12<p<12[/tex]

Step-by-step explanation:

[tex]\left|p\right|<12[/tex]

The interval notation is (-12, 12).

[tex]-12<p<12[/tex]

Answer: b > 13

Step-by-step explanation: b= 14 and 14 is larger than 13. So using the greater than symbol is correct.

Answer:

b > 13

Step-by-step explanation:

Because, if you recall seeing that b = 14 above the question, then you would say that b is greater than 13 because b = 14.

Answer:

The correct statement is (D).

Step-by-step explanation:

Compute the probabilities for the data provided:

Probability students preferring sharks:

[tex]P(\text{Students preferring sharks})=\frac{90}{95}=0.947[/tex]

Probability teachers preferring sharks:

[tex]P(\text{Teachers preferring sharks})=\frac{5}{95}=0.053[/tex]

Probability students preferring moose:

[tex]P(\text{Students preferring moose})=\frac{10}{20}=0.50[/tex]

Probability teachers preferring moose:

[tex]P(\text{Teachers preferring moose})=\frac{10}{20}=0.50[/tex]

From the above computations it can be concluded that:

Thus, the correct statement is (D).

Answer: Just did it and the answer is “Shark”...

Step-by-step explanation:

Answer:

b = 40

Step-by-step explanation:

Let b= brownies made

b* 2/5 = brownies left over

b*2/5 = 16

Multiply each side by 5/2

b * 2/5 *5/2 = 16*5/2

b = 40

Answer:

40

Step-by-step explanation:

.4/.4 is 1 so 16/.4 is 40

Answer:

[tex]x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12[/tex]

Step-by-step explanation:

Let's re-write the equations in order to get the variables as separated in independent terms as possible \:

First equation:

[tex]\frac{xy}{x+y} =1\\xy=x+y\\1=\frac{x+y}{xy} \\1=\frac{1}{y} +\frac{1}{x}[/tex]

Second equation:

[tex]\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}[/tex]

Third equation:

[tex]\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}[/tex]

Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":

[tex]1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}[/tex]

Combine this last expression term by term with the reduced equation 2, and solve for "x" :

[tex]\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}[/tex]

Now we use this value for "x" back in equation 1 to solve for "y":

[tex]1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}[/tex]

And finally we solve for the third unknown "z":

[tex]\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12[/tex]

Answer:

see explanation

Step-by-step explanation:

∠ ABY and ∠ CBY are adjacent and supplementary, thus

x + 25 + 2x + 50 = 180, that is

3x + 75 = 180 ( subtract 75 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

Thus

∠ CBY = 2x + 50 = 2(35) + 50 = 70 + 50 = 120°

∠ BEF = ∠ CBY ( corresponding angles )

∠ BEF = 120°

Thus AC and DF are parallel lines

Answer:

17

Step-by-step explanation:

Plot in the points for each variable to find the y-intercept.

1=-4(4)+c

1=-16+c

1+16=c

17=c

9=-4(2)+c

9=-8+c

9+8=c

17=c

Answer:

Step-by-step explanation:

Given:

2 Points

(4,1) and

(2,9)

Slope

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

y2 = 9

y1 = 1

x2 = 2

x1 = 4

m = (9 - 1) / (2 - 4)

m = 8 / - 2

m = - 4

y intercept

y = mx + b

y = -4x + b

Use (9, 1) to find the y intercept

1 = - 4*9 + b

1 = - 36 + b

b = 37

Answer

The equation is y = - 4x + 37

Answer:

hope its helpful to uh

Answer:

D

Step-by-step explanation:

The y-coordinate will be the average of 5 and -2 which is 3/2. This eliminates options A and B. C doesn't make sense because the x-coordinate (which is -7) of the midpoint can't be larger or smaller than the x-coordinates of the endpoints, so that means that the answer is D.

Answer: 1,468.5

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the price of each share of stock ($19.58) by the number of shares of stock bought (75 ).

Mathematically speaking:

Price per share x number of shares = 19.58 x 75 = $1,468.5  

His purchase price was 1,468.5

Feel free to ask for more if needed or if you did not understand something.  

Answer:

7/8 of an hour

Step-by-step explanation:

Answer:

duration of movie = 3 hours 30 minutes

= 180 + 30

= 210 minutes

Lily turned of 1/4 of the way

time she spend watching

= 1/4 × 210

= 52.5 minutes

Answer:

From greatest to least

One and five-sixth rounded to 2

One and StartFraction 7 over 29 rounded to 1

0.16 rounded to 0

Step-by-step explanation:

1+7/29=29+7/29

=36/29

=1.24

Approximately

=1

1+5/6=6+5/6

=11/6

=1.83

Approximately

=2

0.16

Approximately =0

From greatest to least

One and five-sixth rounded to 2

One and StartFraction 7 over 29 rounded to 1

0.16 rounded to 0

Answer:

See below

Step-by-step explanation:

[tex]d ) (-3x^3) (4xy)(-2x^2y^2),\\3x^3\cdot \:4xy\cdot \:2x^2y^2,\\24x^3x^2xy^2y,\\24yx^6y^2,\\24x^6y^{1+2},\\\\Solution = 24x^6y^3[/tex]

First I removed the ( ) off the " main expression. " Afterwards I multiplied the terms, and through the exponential rule, I added exponents of like terms, simplifying the expression to the solution 24x^6y^3. The rest of these questions are performed in a like manner, so I don't think I need to explain them.

[tex]e ) (-28a^6 / -7a^5),\\\frac{28a^6}{7a^5},\\\frac{4a^6}{a^5},\\\\4a^{6-5},\\4a,\\\\Solution = 4a[/tex]

____________________________________________

For part f ) can you be a bit more clear on the exponent part. One could say that this expression is ( 8z^3 )( 7z^1 * 1 ) or  ( 8z^3 )( 7z^11 ). You never know, an exponent and a multiplied number can be confused considering that a number next to another is taken to be multiplied. After you confirm the expression I will be happy to change my response!

Answer:

The cube root of 1331 is 11.

Step-by-step explanation:

11 times 11 times 11 = 1331

Answer:

11

Step-by-step explanation:

=> [tex]\sqrt[3]{1331}[/tex]

We'll prime factorize it!

=> [tex]\sqrt[3]{11*11*11}[/tex]

=> [tex]\sqrt[3]{11^3}[/tex]

Since, [tex]\sqrt[3]{} = ^{1/3}[/tex]

=> [tex]11^{3*1/3}[/tex]

=> [tex]11^{3/3}[/tex]

=> [tex]11^1[/tex]

=> 11