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3 years ago

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 p and q.

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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:

Explanation:-

Given radius of the cone = 2 cm

Given data

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

The Volume of the Cone

$V = \frac{1}{3} \pi r^{2}h$

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

cross multiplication , we get

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

h = 2.388 ≅ 2.4 c.m

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

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