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dmitriy555 [2]
3 years ago
8

Mia is mixing nuts and cereal squares to make

Mathematics
1 answer:
Harman [31]3 years ago
6 0

Answer:

TO MAKE A NUTTY CEREAL ........

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How does 5 x(2)^n-1 simplify to 5/2 x (2)^n ?<br> Please help me
kotegsom [21]

9514 1404 393

Explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  1/a^b = a^-b

__

  5\times2^{n-1}=5\times(2^n)(2^{-1})=5\times2^n\times\dfrac{1}{2}=\boxed{\dfrac{5}{2}\times2^n}

8 0
3 years ago
Find the length of AC. Round your answer to two decimal places. A 10 in. b 40° C B a​
stepladder [879]

Using relations in a right triangle, it is found that the length of AC is of 6.43 inches.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, the length of side AC is b, which is opposite to the angle of 40º, while the hypotenuse is of 10 in, hence:

\sin{40^\circ} = \frac{b}{10}

b = 10 \times \sin{40^\circ}

Using a calculator:

b = 6.43

More can be learned about relations in a right triangle at brainly.com/question/26396675

4 0
3 years ago
The height h, in feet, of a projectile t seconds after launch is modeled by the equation h = 32t – 16t2. How long after launch d
Anna35 [415]

Answer:

2

Step-by-step explanation:

when it returns to the ground , h = 0

32t -16t2 = 0 and solve for t

t = 0, 2   ....0 is the start, 2 is when it returns

3 0
3 years ago
Read 2 more answers
Find the domain y = 7 - 4x / |2x + 5| + 3
murzikaleks [220]

Answer:

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,∞),{x|x∈R}Range: (−∞,∞),{y|y∈R}

Step-by-step explanation:

4 0
3 years ago
Kacey and her three friends went out for lunch, and they wanted to leave a 15% tip. The receipt shown below lists the lunch tota
Mariana [72]
The receipt shown:

BBQ BURGER W/ CHEESE   :    9.99
CHICKEN FINGER BASKET  :    8.99
MUSHROOM BURGER         :   10.99
CHILI CHEESE FRIES          : <u>    8.99</u>
TOTAL:                                      38.96
SALES TAX 8.75%                <u>      3.41 </u> (38.96 * 8.75% = 3.409)
TOTAL:                                     42.37
TIP 15%                                 <u>     6.36 (</u>42.37 * 15% = 6.3555)
TOTAL:                                     48.73

Total amount paid by Kacey and friends  : $48.73
Total tip paid by Kacey and friends          :   $6.36
Total sales tax paid by Kacey and friends:   $3.41
8 0
3 years ago
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