To make 16 cookies, how many cups of sugar will you need?

Answers

Answer 1

Answer: It depends how big the 16 cookies are going to be

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A hipopótamos weight 1.5 tons what is its weight in ounces

1 6+ 7 + 4x = x + 3x + 7 pls show work

Answers

Answer: x=2 Please mark as brainliest

Step-by-step explanation: 16+7+4x=x+3x+7

combine like terms: 23+4x=4x+7

get x to one side: 23=8x+7

subtract: 16=8x

divide: x=2

A Christmas tree is supported by a wire that is 9 meters longer than the height of the tree. The wire is anchored at a point whose distance from the base of the tree is 41 meters shorter than the height of the tree. What is the height of the tree

Answers

Answer:

The height of the tree is 80 meters.

Step-by-step explanation:

Let the height of the Christmas tree be x meters.

Then the length of the wire will be, (x + 9) meters.

And the wire will (x - 41) meters away from the base of the tree.

Consider the diagram below.

Use Pythagoras theorem to solve for x as follows:

$AB^(2)=AC^(2)+CB^(2)$

$(x+9)^(2)=x^(2)+(x-41)^(2)\n\nx^(2)+18x+81=x^(2)+x^(2)-82x+1681\n\nx^(2)-100x+1600=0\n\nx^(2) -80x-20x+1600=0\n\nx(x-80)-20(x-80)=0\n\n(x-80)(x-20)=0$

The value of x is either 80 or 20.

If x = 20, then the base CB will be -21. This is not possible as length is always positive.

Thus, the value of x is 80.

Hence, the height of the tree is 80 meters.

If b^2=a then b is what of a?

Answers

Answer:

$\huge\boxed{b = √(a)}$

Step-by-step explanation:

If we have an equation $b^2 = a$ and we want to find what b is in relation to a, we can change the equation so that we have b on one side and whatever is on the other side is what b is.

$b^2 = a$

To isolate b, we can take the square root of both sides as taking the square root of something squared results in the base.

$√(b^2) = √(a)$

$b = √(a)$

So b is the square root of a.

Hope this helped!

1:: If
a
is divisible by a square of a prime number, then we cannot conclude from |2
a
|
b
2
that |
a
|
b
.

Any time
a
is divisible by a square of a prime number, =⋅
a
=
k
⋅
p
n
where ≥2
n
≥
2
and
p
does not divide
k
, you can see that
a
divides (⋅−1)2
(
k
⋅
p
n
−
1
)
2
, but
a
does not divide ⋅−1
k
⋅
p
n
−
1
.

Part 2: If
a
is not divisible by a square of a prime number, then we can conclude from |2
a
|
b
2
that |
a
|
b
.

On the other hand, if
a
is not divisible by a square of a prime number, then =12⋯
a
=
p
1
p
2
⋯
p
n
where
p
i
is prime for all
p
. Then, assuming
a
divides 2
b
2
, you can conclude that
p
i
divides 2
b
2
, and therefore
p
i
divides
b
(from prime factorization) for all
i
. From this, you can conclude that
a
divides
b
.

Let be a continuous random variable that follows a normal distribution with a mean of and a standard deviation of . Find the value of so that the area under the normal curve to the right of is . Round your answer to two decimal places.