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matrenka [14]
3 years ago
6

If (-2, y) lies on the graph of y = 3Y, then y =

Mathematics
2 answers:
Artist 52 [7]3 years ago
8 0

Answer:

\displaystyle \frac{1}{9}

Step-by-step explanation:

Hi there!

This question is asking us what the value of <em>y</em> is when <em>x</em> is -2, hence the point (-2,y).

y=3^x

To find <em>y</em>, replace <em>x</em> in the equation with -2 and evaluate:

y=3^-^2

When a^-^n where <em>n></em>0, a^-^n=\displaystyle \frac{1}{a^n}:

y=\displaystyle \frac{1}{3^2} \\\\y=\displaystyle \frac{1}{9}

I hope this helps!

kumpel [21]3 years ago
5 0
Answer:

y = 1/9

Step-by-step explanation:

(-2, y) = (x, y)

y = 3^x

y = 3^(-2)

y = 1/9

Therefore y = 1/9
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A box of oatmeal must contain 16 oz. The machine that fills the oatmeal boxes is set so that, on the average, a box contains 16.
Vadim26 [7]

Answer:

29. 15.87%

30.  4.75%

31. 0.62%

32. probability cannot be calculated (0%)

Step-by-step explanation:

We have that the formula of the normal distribution is:

z = (x - m) / sd

where x is the value we are going to evaluate, m is the mean and sd is the standard deviation

x = 16 and m = 16.5

when sd = 0.5

z = (16 - 16.5) /0.5

z = -1

Now when looking in the z table, we have that the corresponding value is 0.1587, that is, the probability is 15.87%

when sd = 0.3

z = (16 - 16.5) /0.3

z = -1.67

Now when looking in the z table, we have that the corresponding value is 0.0475, that is, the probability is 4.75%

when sd = 0.2

z = (16 - 16.5) /0.2

z = -2.5

Now when looking in the z table, we have that the corresponding value is 0.0062, that is, the probability is 0.62%

when sd = 0

z = (16 - 16.5) / 0

z = infinity

probability cannot be calculated

4 0
4 years ago
After giving 16 coins to Melissa, Juan had twice as many coins as Melissa. If they had 144 coins altogether, how many coins did
dem82 [27]

Melissa tem 16 moedas

Juan tem o dobro, ou seja, 16 x 2 = 32

Na adição vai ser o mesmo resultado

16+16=32

Se eles juntos tivessem 144 moedas.

Calculando

144 ÷ 2 = ou seja dividido por duas pessoas sendo melissa e juan

R = juan tem 72 moedas.

Cada um vai ficar com 72 moedas

3 0
3 years ago
Suzie's Nursery is having a sale on two kinds of plants, venus fly traps and bonsai trees.
ANTONII [103]

Answer:

Venus fly trap = 12

Bonsai tree = 17

Step-by-step explanation:

Given that :

Venus fly trap = $3per plant

Bonsai tree = $5 per plant

Number of plants sold = 29

Total cost of plant sold = $121

Let venus fly trap = x ; bonsai tree =y

x + y = 29 ___ (1)

3x + 5y = 121 ____(2)

From (1) :

x = 29 - y

In (2):

3(29 - y) + 5y = 121

87 - 3y + 5y = 121

87 + 2y = 121

2y = 121 - 87

2y = 34

y = 34/2

y = 17

x = 29 - 17

x = 12

Hence,

Venus fly trap = 12

Bonsai tree = 17

7 0
3 years ago
What is the mean number of cakes Jenny baked in a month
ElenaW [278]
Where’s the data set?
7 0
3 years ago
the diameter D of a sphere is 13m calculate the sphere volume V use the value 3.14 round your answer to the nearest tenth
fgiga [73]

Answer:

1149.8 m³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = \frac{4}{3}πr³ ( r is the radius )

Here diameter = 13, thus radius = 13 ÷ 2 = 6.5

V = \frac{4}{3} × 3.14 × 6.5³

   = \frac{4}{3} × 3.14 × 274.625

   = \frac{4(3.14)(274.625)}{3} ≈ 1149.8 m³ ( to the nearest tenth )

5 0
3 years ago
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