Fully factorise
X^3 - 100

Answer:

   here we have rolled two dice. So total no. of possible outcomes will be 6^2=36. These are (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).

   Now, among these cases the cases where the sum is seven for (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) i.e. there are 6 cases.

   Now, it is time to calculate the probability.

   The required probability is,

   p = (No. of cases favorable for the event)/(Total no. of cases)

   =6/36 =

Step-by-step explanation:

Two fair six-sided dice are rolled. What is the probability that the sum of the two dice is seven?

Answer:

x=7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

well

8 x 7 is 56.

3 x 7 is 21

3 x 7 again is 21

21 + 21 is 42

56 + 42 is 98

- x or -7

98 - 7 is 91. it’s 7

x = 7

Answer:

I put the answers in the picture below!

Step-by-step explanation:

Answer:

51°

Step-by-step explanation:

Given

<QPR = 39°

<PQR = 90° ( inscribed angle in semi circle)

Now

<QPR + <PQR + <PRQ = 180° { being sum of angles of triangle)

39° + 90° + <PRQ = 180°

<PRQ = 180° - 39° - 90°

<PRQ = 51°

Hope it will help :)

Answer:

4

Step-by-step explanation:

Have a nice day!

Answer:

12 = x^2 + y^2

PLEASE BRAINLIEST?!

The equation of the circle centered at the origin has a radius of 12 is x² + y² - 144 = 0.

The circle has a diameter, the whole circumference of the circle, so the radius is the half of the diameter.

The radius of the circle given 12.

All the points on the circle you're looking for have a distance from the origin of 12/ A point's distance from the center is

The equation will be

[tex]\rm d = \sqrt{x^2 + y^2} \\\\ 12 = \sqrt{x^2 + y^2}\\\\12^2 = x^2 + y^2\\\\x^2 + y^2 - 144 = 0[/tex]

Thus, the equation will be [tex]\rm x^2 + y^2 - 144 = 0[/tex]

Learn more about radius

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Answer:

33

Step-by-step explanation:

Answer:

[tex]x_{1}[/tex]=-2, [tex]x_{2}[/tex]=2

Step-by-step explanation:

hope this helps!

Answer:

[tex]Sum = (15x - 44)^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle y = (2x - 3)^{\circ}[/tex]

[tex]\angle z = (13x - 41)^{\circ}[/tex]

Required

Calculate the sum of the two angles

[tex]Sum = \angle y + \angle z[/tex]

[tex]Sum = (2x - 3)^{\circ} + (13x - 41)^{\circ}[/tex]

Collect Like Terms

[tex]Sum = (2x +13x)^{\circ} - (3+ 41)^{\circ}[/tex]

[tex]Sum = (15x)^{\circ} - (44)^{\circ}[/tex]

[tex]Sum = (15x - 44)^{\circ}[/tex]

Hence, the sum of the two angles is 15x - 44

Answer:

its 4 :)

Step-by-step explanation:

heyyy please give me brain i really am thankfull if you do and

also have a nice day hope this help and thank you very much.

Answer:

the first one

Step-by-step explanation:

it gives you 3-x=3-x

Answer:

c

Step-by-step explanation:

the volume of a circle is equal to pi times the radius^2 times the height. They give you the circumference and half of the circumference is equal to the radius. (half of 12)

Answer:

armani

Step-by-step explanation:

every number in the first column times 1.50 will be the number in the second column

Answer:

[tex]3g + 40[/tex] and g= 60

Step-by-step explanation:

hope this helps have a good rest of your night :) ❤

You are told x = 8y -4

Replace x in the second equation with 8y-4:

8y-4 + 8y = 6

Combine like terms:

16y-4 = 6

Add 4 to both sides:

16y = 10

Divide both sides by 16:

Y = 10/16

Simplify:

Y = 5/8

Now replace y with 5/8 do find x:

X = 8(5/8) -4 = 5-4 = 1

X = 1, y = 5/8

(1,5/8)

Answer:

subject subject subject

Answer:

that looks hard im sorry cant do that

Step-by-step explanation:

Answer: B. 12.5 %

Step-by-step explanation:

GIven: Best completion time = 40 seconds

completion time of other members = 45 seconds

The percentage difference in the completion time from the best completion time =  [tex]\dfrac{difference}{Best\ completeion\ time}\times100[/tex]

[tex]=\dfrac{45-40}{40}\times100\%\\=\dfrac{5}{40}\times100\%\\\\=12.5\%[/tex]

Hence, the correct option is B. 12.5%.

The percentage difference in the completion time from the best completion time is 12.5%.

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is that Sonam's team completes the run at 40 seconds during heat events while on the championship day, his team completes the same run at 45 seconds. Therefore, the difference can be written as,

[tex]\rm Difference =45\ sec -40\ sec=5\ sec[/tex]

Now, as we want to know the percentage difference in the completion time from the best completion time, therefore, we can write,

[tex]\text{Percentage Difference}=\dfrac{\text{Difference}}{\text{Best completion time}} \times 100[/tex]

                                  [tex]=\dfrac{5}{40}\times 100\\\\=12.5\%[/tex]

Hence, the percentage difference in the completion time from the best completion time is 12.5%.

Learn more about Percentage:

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Answer:

8/1.50 = 128/x

Step-by-step explanation:

In this case, I put the amount of fruit drink over the cost!

8 ounces/$1.50

there are 128 ounces in a gallon and we want to find out the cost of a gallon, so we can put that as x!

128 ounces/x

There's your proportion! Hope this helps :)

Answer:

Step-by-step explanation:

I guess I can give a brief overview and then you can decide if I should go deeper into these meaning and use.

Complex numbers are useful because in a lot of cases we need to use the square root of a negative number. Ex.

Solve the quadratic equation x^2+x+1=0

We have to use the quadratic formula since its not factorable.

x=[-1+-sqrt(1-4*1*1)]/2

x=-1/2 + or - sqrt(-3)

If we don't have imaginary numbers, we would be stuck because sqrt(-3) wouldn't exist as you cannot take the square root of a negative number.

But with complex numbers we can actually get the answer for that equation as

x=-1/2 + or - sqrt3*i

Which would give us a mean of using this answer to calculate further to get other needs depending on the problem you are solving. If complex number is not a thing, about half of our equations will have undefined answers.

Now conjugates is a more interesting one, on the surface level we are discussing here there is not much its used for except if you have a complex number as a root of a quadratic equation, then the conjugate of that complex number must also be a solution. Again if you want me to go a more in depth just comment down below, because I could write an entire essay on this topic :-)

Answer:

x = -1 and y = 3     x = 3 and y = -1

Step-by-step explanation:

Answer:

Different angles are formed

Step-by-step explanation:

i) Alternate angles are formed

Alternate interior angles are the angles formed when a transversal intersects two parallel lines.  

ii)corresponding angles are formed

When two parallel lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.  

Answer:

33 small mugs

Step-by-step explanation:

Given:

Total number of mugs sold by Jo = 132

One quarter of the mugs were small. The rest were large.

To find: Number of small mugs sold by Jo

Solution:

Number of small mugs sold by Jo = [tex]\frac{1}{4}[/tex] (Total number of mugs sold by Jo)

Therefore,

Number of small mugs sold by Jo [tex]=\frac{1}{4}(132)=33[/tex]

Answer: a.83

Step-by-step explanation:

apoooxe

Answer:

50°

Step-by-step explanation:

(360° - 130°×2)/2

(360° - 130°×2)/2

(360° - 130°×2)/2

Answer:

for the first one : 0.91 or 0.916 either one

for the second answer : 1 11/20

Step-by-step explanation:

Here is the explanation for the second question>>>To find the total of 3/4 and 4/5 is to add them together. However, in order to add them together you need to find the least common denominator (LCD). And the LCD of both denominators would be 20, because that is the smallest number both 4 and 5 can divide into. And here is the tricky part, now you have to change the numerators. So since 3/4th's now has a denominator of 20 you have to make the 3 match the 20. So 4 times what it 20? It is 5. So now multiply 5 by three and that will give you 15/20, which can reduce to 3/4 which means that you did this correctly! Now repeat the same steps with 4/5:

4/5=4/20

20÷5=4

4•4=16

16/20    (16/20 can reduce to 4/5 which means you did this correctly.

Now to add them keep the denominators the same and only add the numerators:

15/20 + 16/20 = 31/20

Now this as a mixed number would be 1 11/20. I hope this was helpful!

Answer:

1.) 1  1/12

2.) 1  11/20

Step-by-step explanation:

5/6+1/4

convert to common denominators

5/6 x 2/2 = 10/12

1/4 x 3/3 = 3/12

10/12+3/12=13/12

Convert to a mixed number

1 1/12

3/4+4/5

convert to common denominators

3/4 x 5/5 = 15/20

4/5 x 4/4 = 16/20

15/20+16/20=31/20

Convert to a mixed number

1 11/20