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kozerog [31]
1 year ago
9

Cynthia is standing at the center of a circular playground. Which statement is true with respect to Cynthia’s position?

Mathematics
2 answers:
sergeinik [125]1 year ago
7 0
D. The distance from Cynthia to pole 3 us equal to the distance from Cynthia to pole 1.
pole one and three are like the same distance apart from Cynthia.
garri49 [273]1 year ago
7 0
D. The distance from Cynthia to pole 3 us equal to the distance from Cynthia to pole 1.
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If 10a+10b=35, what is the average (arithmetic mean) of a and b?
worty [1.4K]

Answer:

1.75

Step-by-step explanation:

If a  and b are two numbers, then their arithmetic mean is

\dfrac{a+b}{2}

Given:

10a+10b=35

Divide this equation by 10:

a+b=3.5

Now, divide it by 2:

\dfrac{a+b}{2}=\dfrac{3.5}{2}\\ \\\dfrac{a+b}{2}=1.75

6 0
2 years ago
Which is a stretch of an exponential growth function? f(x) = Two-thirds (two-thirds) Superscript x f(x) = Three-halves (two-thir
Arte-miy333 [17]

Answer:

f(x) = Three-halves (three-halves) Superscript x

f(x) = Two-thirds (three-halves) Superscript x

Step-by-step explanation:

Since, a function in the form of f(x) = ab^x

Where, a and b are any constant,

is called exponential function,

There are two types of exponential function,

  • Growth function : If b > 1,
  • Decay function : if 0 < b < 1,

Since, In

f(x) =\frac{2}{3}(\frac{2}{3})^x

\frac{2}{3} < 1

Thus, it is a decay function.

in f(x) =\frac{3}{2}(\frac{2}{3})^x

\frac{2}{3} < 1

Thus, it is a decay function.

in f(x) =\frac{3}{2}(\frac{3}{2})^x

\frac{3}{2} > 1

Thus, it is a growth function.

in f(x) =\frac{2}{3}(\frac{3}{2})^x

\frac{3}{2} > 1

Thus, it is a growth function.

5 0
2 years ago
Read 2 more answers
A scientist is studying tulips and daffodils. The scientist estimates that there are 150 tulips in the population of 600 tulips
Flauer [41]

Answer:  Last Option is correct.

Step-by-step explanation:

Since we have given that

Total number of tulips and daffodils = 600

Number of tulips = 150

Number of daffodils is given by

600-150\\\\=450

So, We can get the ratio of tulips to daffodils which is given by

Tulips:Daffodils\\\\150:450\\\\1:3

So, we need to choose a random sample of flowers to represent the population.

1) He can choose 50 flowers.

As there are 1:3 of tulip and daffodils flowers but if we divide 50 by 4 it will give a decimal number, so it can't represent the required thing.

2) He can choose 25 tulips and 25 daffodils

As they are divided into 1:1 so, it can't represent the 1:3 tulip to daffodils population.

3) He can choose 15 tulips and 60 daffodils

As it is divided into 1:4 inspite of 1:3.So it can't represent the required population.

4) He can choose 10 tulips and 30 daffodils.

So, Last option which states that he can choose 10 tulips and 30 daffodils as in this case the ratio of tulips to daffodils is 1:3.

Hence, Last Option is correct.

4 0
1 year ago
Read 2 more answers
Simplify (5b)(-3a). -35ab -15ab 2ab
Fofino [41]
(5b)(-3a)
= (5*(-3))(b*a) (combine like terms)
= -15ab

The final answer is -15ab~
3 0
2 years ago
Read 2 more answers
For what value of "a" will the product shown below have a purely imaginary value? (Show work please)
MakcuM [25]
If you expand out the brackets you get this,

(4+5i)(a+2i) = 4a + (5a)i + 8i - 10

The -10 comes from 5i * 2i.
Squaring i becomes -1.

Let's group the real stuff together,
and imaginary separately,

(4a - 10) + (5a + 8)i

For this to be purely imaginary,
the real part needs to be zero.

Therefore 4a - 10 = 0

Solve for a.
5 0
2 years ago
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