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Grace [21]
3 years ago
8

Hey guys please help me please and thank you

Mathematics
1 answer:
kow [346]3 years ago
4 0

Answer:

Option B, 5/16

Step-by-step explanation:

f(4) = 5•(1/2)⁴

= 5•(1/2⁴)

= 5•(1/16)

= 5/16

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Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. Find the largest number
lina2011 [118]
We take each number as x = 2x 3x 4x 
(2x)³+(3x)³+(4x)³=33957
8x³+27x³+64x³=33957
99x³=33957
x³=33957÷99
 =∛343
x=7
2x=2×7=14
3x=3×7=21
4x=4×7=28
=the three numbers are 14,21,28
4 0
3 years ago
A restaurant manager determined that about 12 of all customers would wait 20 minutes or more for a table. Which simulation could
kykrilka [37]

Answer:

spinner green or blue

Step-by-step explanation:

Flipping a coin is 1/2 probability

Rolling a die and getting a number less than 4 is 1/2 probability

spinner green or blue is (4/6) = 2/3

Marbles is 1/2

4 0
4 years ago
48/root 3 + 45/root 3​
faust18 [17]

Answer:

31√3

Step-by-step explanation:

48√3 + 45/√3 since the base is same we can add the terms up 93√3

➡ 93/√3 × √3/√3 = 93√3/3 ➡ 31√3

6 0
4 years ago
The variable Z is directly proportional to X. When X is 3, Z has the value 54. Wha is the value of Z when X= 12
RSB [31]
The variable Z is directly proportional to X
Z = kX (Where k is the constant of proportionality)
To find k
54 = k3
 
k = 54/3
k = 18
 

now find new Z


 Z = 18X
Z = 18(12)
Z = 216

5 0
3 years ago
The number of bacteria in a certain population increases according to an exponential growth model, with a growth rate of 3.5% pe
uysha [10]
Generic exponential growth model: y = Ao[1+r]^t

In this case: r = 3.5% = 0.035

y = 2Ao .....[the double of the initial value]

Then: 2Ao =Ao (1 + 0.035)^t

(1.035)^t =2

Take logarithm to both sides

t ln(1.035) = ln(2)

t = ln(2) / ln(1.035) = 0.693 / 0.0344 = 20.15

Answer: 20.15 hours.




3 0
4 years ago
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