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ANEK [815]
3 years ago
6

Let p: The number is even

Mathematics
1 answer:
puteri [66]3 years ago
6 0

Answer:

The number is even and prime.

Step-by-step explanation:

The symbol ^ represents AND, meaning that the number is true for both <em>p</em> and <em>q</em>.

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The volume of a cone-shaped dessert is 10 CUBIC CENTIMETRES.
allochka39001 [22]

Answer:

3. 2.4 c.m

The height of the cone 'h' = 2.4 c.m

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given radius of the cone = 2 cm</em>

Given data

The volume of a cone-shaped dessert is 10 cubic centimetres

<em>The Volume of the Cone </em>

<em>                           </em>V = \frac{1}{3} \pi r^{2}h<em></em>

                        10 = \frac{1}{3} X 3.14 X (2)^{2} X h

  cross multiplication , we get

                  h = \frac{ 3 X 10}{3.14 X 4}

                 h =  2.388 ≅ 2.4 c.m

<em>The height of the cone 'h' = 2.4 c.m</em>

8 0
2 years ago
Factor this expression completely, then place the factors in the proper location on the grid. a^3y + 1
ivolga24 [154]

Answer:

a^{3y} + 1  = (a^{y}+1 )^{3}  - 3a^y(a^{y}+1)\\\\

Step-by-step explanation:

We are to factorize the expression a^{3y} + 1 completely. To do this, we will apply the expression below;

The expression can be rewritten as a^{3y} + 1^{3}

To factorize the expression, we need to first factorize (a^{y}+1 )^{3} first

(a^{y}+1 )^{3} =(a^{y}+1 )(a^{y}+1 )^{2}\\= (a^{y}+1 )((a^y)^{2}  } + 2a^{y} +1)\\= (a^y)^{3} +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y+1\\(a^{y}+1 )^{3}  = ((a^y)^{3} + 1) +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y\\(a^{y}+1 )^{3}  = ((a^y)^{3} + 1) +3(a^y)^{2}+3a^y\\

The we will make a^{3y} + 1^{3} the subject of the formula as shown;

(a^y)^{3} + 1 = (a^{y}+1 )^{3}  - (3(a^y)^{2}+3a^y)\\(a^y)^{3} + 1^{3}  = (a^{y}+1 )^{3}  - (3(a^y)^{2}+3a^y)\\\\

(a^y)^{3} + 1  = (a^{y}+1 )^{3}  - (3(a^y)^{2}+3a^y)\\\\

a^{3y} + 1  = (a^{y}+1 )^{3}  - (3(a^y)^{2}+3a^y)\\\\

a^{3y} + 1  = (a^{y}+1 )^{3}  - 3a^y(a^{y}+1)\\\\

This last result gives the expansion of the expression

7 0
3 years ago
Rob and Bob together scored 88 points. If Bob scored 54 points, how many points did Rob score?
Jet001 [13]

Answer:

34 points

Step-by-step explanation:

88 minus 54 equals 34.

7 0
3 years ago
Read 2 more answers
the calorie cafe is known for their hotdogs and burgers. the number of calories in a burger is 220 more than the number of calor
meriva

Answer:

  • Number of calories in burger = 620 calories
  • Number of calories in hotdog = 400 calories

Step-by-step explanation:

Number of calories in burger = x

Number of calories in hotdog = y

y = x - 220

x + 2y = 1,420

Substitution:

x + 2 * (x - 220) = 1,420

x + 2x - 440 = 1,420

3x = 1,420 + 440

x = 1,860 / 3

x = 620 calories

y = x - 220

= 620 - 220

= 400 calories

6 0
2 years ago
2) Puppy B weighs 8 pounds, which is about 75% of its adult weight. What will be the
masha68 [24]

Answer:

Puppy A weighs 8 pounds, which is about 25% of its adult weight. What will be the adult weight of Puppy A? Puppy B weighs 8 pounds, which is about 75% of its adult weight. What will be the adult weight of Puppy B?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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