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PtichkaEL [24]
2 years ago
11

Which of the following pairs consist of equivalent fractions?

Mathematics
1 answer:
cestrela7 [59]2 years ago
3 0

Answer:

d

Step-by-step explanation:

a is incorrect because

20/32=10/16=5/8

b is incorrect because

10/7=1.42 and 7/10=0.7 which don't equal each other

c is incorrect because

4/6 equals 2/3 not 3/5

d is correct because,

18/48=15/40

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Evaluate the following expression. 3^-2
Crazy boy [7]

Answer: The simplified form is \frac{1}{9}

Step-by-step explanation:

Since we have given that

3^{-2}

As we know the  "Exponential law":

a^{-1}=\frac{1}{a^m}

So, it becomes

3^{-2}=\frac{1}{3^2}

Now, at last it becomes,

3^{-2}=\frac{1}{3\times 3}=\frac{1}{9}

Hence, the simplified form is \frac{1}{9}

8 0
3 years ago
Read 2 more answers
What is the equation of a sine function with an amplitude of 2 and a period of 4
antiseptic1488 [7]

Answer: C

Step-by-step explanation:

For this problem, we need to know the standard form of a sine function and the meaning of each part.

Standard form: y=asin[b(x-h)]+k

a=amplitude

b=period

h=phase shift

k=vertical replacement/shifting

Now that we know the standard form and the components, we know that we can forget about k and plug in 0 for h. This would leave us with y=asin[b(x)]. We know that the amplitude is 2, therefore, a=2. To find the period, you divide 2π by the given period. \frac{2\pi }{b} =\frac{2\pi }{4\pi } =\frac{2}{4} =\frac{1}{2}, therefore, b=1/2.

y=asin[b(x)]             [plug in a=2]

y=2sin[b(x)]             [plug in b=1/2]

y=2sin(\frac{1}{2}x)

Therefore, C is the correct answer.

7 0
2 years ago
Damien need to buy 5 pints of juice
frozen [14]
Ok so what is the question..... question in detail
6 0
3 years ago
Read 2 more answers
Which of the following are solutions to the equation below? check all that apply. 4x^2+4x+1=9
AVprozaik [17]
  • ±Answer:

X 1 = 1  ; X 2 = -2

Step-by-step explanation:

We clear the whole numbers, equal to (zero) and use the calculation formula of the quadratic function, according the image:

8 0
3 years ago
Find the radius of a circle with an area of 615.75 sq kilometers?
Olegator [25]

area = pi x r^2

615.75 = 3.14 x r^2

r^2 = 615.75/3.14 =196.0987 round to 196.1

r = sqrt(196.1) = 14.00357 round to 14

radius = 14 kilometers

4 0
3 years ago
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