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nevsk [136]
3 years ago
10

Tasha is mixing red and white paint to make pink paint. She uses 1/3 pint of red paint to make 1/2 pint of pink paint. How much

red paint would she use to make 3 1/2 pints of pink paint?
Mathematics
1 answer:
morpeh [17]3 years ago
7 0

Answer:

2 1/3

Step-by-step explanation:

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What is the recursive of this:
abruzzese [7]

Answer:

a_n=a_{n-1}+2^{n-1}\ \ n>1

Step-by-step explanation:

Recursive Sequence

We are given the following sequence:

-1, 1, 5, 13...

It's required to find the recursive term for the sequence.

A recursive formula calculates each term as a function of one or more previous terms.

To find the recursive formula, we must find a pattern and transform it into a math expression.

Let's write the sequence, and below it, the difference of consecutive terms:

-1,   1,   5,   13...

+2,  +4,  +8

Note the difference between consecutive terms is always a power of 2, starting from 2^1, 2^2, 2^3.

The exponent is one less than the number of the term, thus:

a_n-a_{n-1}=2^{n-1}

Thus:

\mathbf{a_n=a_{n-1}+2^{n-1}\ \ n>1}

Testing:

n=1

a_1=-1 (given).

n=2

a_2=a_{1}+2^{2-1}=-1+2^{1}=1

n=3

a_3=a_{2}+2^{3-1}=1+2^{2}=5

n=4

a_4=a_{3}+2^{4-1}=5+2^{3}=13

3 0
3 years ago
Write a inequality for the graph below
max2010maxim [7]

Answer:

X ≥ -6

Step-by-step explanation:

since the arrow is pointing towards the right side i.e tending towards x

7 0
3 years ago
Bob is building a wooden cabin. The cabin is 30 meters wide. He obtained a bunch of 17 meters long wooden beams for the roof of
qaws [65]
The roof will be in the shape of an isosceles triangle with a base length of 30 m and two sides that are 17 m. The two 17 m beams will have the same angle of elevation since they have to might in the middle.

So to find the angle of elevation, we can split the roof in half vertically to create a right triangle. The base will now be 15 m, and the hypotenuse will be 17. Now we can use a trigonometry function to solve for the angle. We know the hypotenuse and the side adjacent to the angle, so we can use cosine.

cos(\theta) =  \frac{adjacent}{hypotenuse}

cos(\theta)= \frac{15}{17}

cos^{-1}( \frac{15}{17})=\theta

\theta = 28.1^{\circ}

The answer  is 28.1 degrees
3 0
3 years ago
What will be the coordinates of N after a 90 degree counterclockwise around the origin
Virty [35]

Answer:

The original point (x , y) —> the point rotated (-y , x)

Step-by-step explanation:

8 0
3 years ago
A square rug has an area of 100 square feet. What is the length of one side of the rug?
Usimov [2.4K]

Answer:

10 ft

Step-by-step explanation:

Square root of 100 = 10

4 0
3 years ago
Read 2 more answers
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