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Dmitrij [34]
3 years ago
6

Х

Mathematics
1 answer:
inn [45]3 years ago
3 0

Answer:

y = 3(2)^x

Step-by-step explanation:

Given

The attached table

Required

Determine the exponential function

An exponential function is represented as:

y = ab^x

From the table;

(x,y)=(0,3)

So:

y = ab^x

3 = a * b^0

3 = a * 1

3 = a

a = 3

Also:

(x,y) = (1,6)

So:

y = ab^x

6 = a * b^1

6 = a * b

Substitute a = 3

6 = 3 * b

Solve for b

b = 2

So:

y = ab^x

y = 3(2)^x

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A bag contains 33 red marbles, 6 white marbles, and 5 gray marbles. You randomly pick out a marble, record its color, and put it
Ksju [112]
<h3>Total 73 times we can expect white or gray marbles.</h3>

Step-by-step explanation:

Total number of marbles = 33

Number of white marbles  = 6

Number of gray marbles  = 5

Now, as we need to pick white or gray marbles, so favorable outcomes

=  6+ 5  = 11 marbles

Now, P(Picking out 1 white or gray marble)  = \frac{\textrm{Total Favorable outcomes}}{\textrm{Total Outcomes}}   = \frac{11}{33}   = (\frac{1}{3})

Here, the same experiment is repeated 220 times.

So, the Combined Prediction

= Probability at first attempt  x Number of repetitions

= (\frac{1}{3} ) \times 220 = \frac{220}{3}  = 73.33 \approx 73

⇒The combined prediction after 220 attempts  = 73

Hence,  total 73 times we can expect white or gray marbles.

7 0
3 years ago
Please help me out with this!! :)
Bezzdna [24]

Answer:

y = -5x + 8

Step-by-step explanation:

Equation of a line: y = mx + b

x = slope

b = y-intercept or starting point

Slope = y^2 - y^2/x^2 - x^1

Slope = -12 - 43/4 - (-7)

Slope = -55/11

Slope = -5

b = y - y^1 = m(x - x^1)

b = y - 43 = -5(x - (-7))

b = y - 43 = -5x - 35

Add 43 to both sides

y = -5x + 8

6 0
3 years ago
Read 2 more answers
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galina1969 [7]

Answer:

solution :

in the given figure AB=10.2cm, AC=14cm, AD=DC and AD perpendicular to BC.

now ,

in rt angle tirangle ADC,

angleACD=45 degree, angle DAC=45 degree now,

in triangle ABD,

angle BAD+angleABD+angleADB=180 DEGREE (sum of the sngle of triangle)

angle BAD+75+30=180

angle BAD=180-165      therefore,angle BAD=15

angle BAC =15+45=60

Area of triangle ABC=1/2×AB×AC×SIN 60

=1/2×10.2×14×√3/2

=61.83cm³ ans

3 0
3 years ago
(2xy) to the power of 3
Ymorist [56]

Answer:

8x³y³

Step-by-step explanation:

When the number is in parentheses, it means the exponent goes to all of the variables and numbers inside. So 2 squared is 8 and x squared and y squared are just written like that. I hope this helps clear things up...

8 0
3 years ago
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Tatiana [17]

Answer:

>

Step-by-step explanation:

3^-1 = .33333333

1/4 = .25

5 0
3 years ago
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