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aksik [14]
3 years ago
6

Yoga Fun charges a $63 starting fee plus $12 per class. Yoga For All charges no starting fee and $15 per class. For how many cla

sses will the cost be the same at both places?
(a) 21
(b) 5
(c) 3
(d) 27
Mathematics
1 answer:
Arada [10]3 years ago
3 0
C) because all are multiple to 3
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Can you guys help me with this?
ankoles [38]
ANSWER-

B

EXPLANATION-

log6 x^6 + 2log6 y
log6 x^6 + log6 y^2
log6(x^6 y^2)
8 0
3 years ago
Let f(x) = sin(x) + icos(x). Show that |f(x)| = 1.
Oksanka [162]
F(x) = sin(x) + icos(x)
|f(x)| = sqrt(sin^2(x) + cos^2(x)) = sqrt(1) = 1

Therefore, |f(x)| = 1
5 0
3 years ago
Nu is designing a rectangular sandbox.The bottomm is 16 square feet.Which dimensions require the least amount of materail for th
zzz [600]

Given Information:  

Area of rectangle = 16 square feet

Required Information:  

Least amount of material = ?

Answer:

x = 4 ft and y = 4 ft

Step-by-step explanation:

We know that a rectangle has area = xy and perimeter = 2x + 2y

We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.

So we have

xy = 16  

y = 16/x

p = 2x + 2y

put the value of y into the equation of perimeter

p = 2x + 2(16/x)

p = 2x + 32/x

Take derivative with respect to x

d/dt (2x + 32/x)

2 - 32/x²

set the derivative equal to zero to minimize the perimeter

2 - 32/x² = 0

32/x² = 2

x² = 32/2

x² = 16

x = \sqrt{16} = 4 ft

put the value of x into equation xy = 16

(4)y = 16

y = 16/4

y = 4 ft

So the dimensions are x = 4 ft and y = 4 ft in order to use least amount of material.

Verification:

xy = 16

4*4 = 16

16 = 16 (satisfied)

7 0
3 years ago
Use order of operations to simplify.<br><br> 4 - 10 + 12 / 3 + (7^2 - 7)
Usimov [2.4K]
Order of Operations = Please Excuse My Dear Aunt Sally, PEMDAS. P= Parentheses E=Exponents M= Multiplication D= Division A= Addition and S= Subtraction in that order.

The answer
4-10+12/3+(7^2-7)
4-10+12/3+(49-7)
4-10+12/3+56
4-10+4+56
4-14+56
4-70
-66

-66 should be your answer if i’m not mistaken
5 0
3 years ago
Find the solution set of the inequality 7x−10≥16.
xenn [34]
×≥ 26/7 is the answer.

hope it helps!
5 0
3 years ago
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