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Svetradugi [14.3K]
3 years ago
11

Which logarithmic equation is equivalent to the exponential equation 5c=250

Mathematics
1 answer:
Elis [28]3 years ago
8 0

Answer:

c = log_{5}250

Step-by-step explanation:

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What are the domain and range of the function f(x)=(√x-7)+9?
Yanka [14]

Answer:

the domain of the function f(x) is x\ge 7

the range of the function f(x) is f(x)\ge 9

Step-by-step explanation:

Consider the parent function y=\sqrt{x}.

The domain og this function is x\ge 0, the range of this function is y\ge 0.

The function f(x)=\sqrt{x-7}+9 is translated function y=\sqrt{x} 7 units to the right and 9 units up, so

the domain of the function f(x) is x\ge 7

the range of the function f(x) is f(x)\ge 9

3 0
3 years ago
One planet holds 14 Tomato seedlings. If you have 1,113 seedlings, how many containers do you need to hold all seedlings?
kaheart [24]

Answer:

If your talking about the containers, then you would need 80

containers, hope this helps.

Step-by-step explanation:

5 0
3 years ago
Help me with this question
finlep [7]

Answer:

I THINK C

Step-by-step explanation:

I THINK.

4 0
3 years ago
Read 2 more answers
A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste
Oxana [17]
Given that X <span>be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02


Part A:

</span><span>The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

</span>P(X)={ ^nC_xp^x(1-p)^{n-x}} \\  \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\  \\ =1(1)(0.98)^{30}=0.5455
<span>

Part B:

The mean of a binomial distribution is given by

</span>\mu=np \\  \\ =30(0.02) \\  \\ =0.6
<span>
The standard deviation is given by:

</span>\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\  \\ =0.7668
<span>

Part C:

This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.</span>
5 0
3 years ago
A store has clearance items that have been marked down by 25%. They are having a sale, advertising an additional 40% off clearan
Hatshy [7]

Answer: He would pay 45% of the original price.

Step-by-step explanation:

Since we have given that

Let the original price of item be 'x'

Rate mark down by 25%

Amount of marked down would be

\dfrac{25}{100}\times x\\\\=0.25x

Amount after marked down becomes

x-0.25x\\\\=0.75x

Additional clearance items by 40% off

Amount of additional off is given by

\dfrac{40}{100}\times 0.75x\\\\=0.4\times 0.75x\\\\=0.3x

After additional off, the amount becomes,

0.75x-0.3x\\\\=0.45x

Hence, he would pay 45% of the original price.

5 0
3 years ago
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