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kirill [66]
3 years ago
5

Find the Value of x from the following :

Mathematics
1 answer:
Sonja [21]3 years ago
7 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

<h3>Question 1 ~</h3>

  • log_{x}(64)  = 2

  • {x}^{2}  = 64

  • x =  \sqrt{64}

  • x =  \sqrt{8 \times 8}

  • x = 8
<h3>Question 2 ~</h3>

  • log_{2}(x)  = 5

  • x = 2 {}^{5}

  • x = 32

I hope it helped ~

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28 cm<br> 45 cm<br> What is the length of the hypotenuse?
maksim [4K]

Answer:

53 cm

Step-by-step explanation:

Using Pythagoras Theorem,

The hypotenuse

=  \sqrt{ {28}^{2}  +  {45}^{2} }

=  \sqrt{2809}

= 53 cm

8 0
3 years ago
Read 2 more answers
The director of a health clinic has a quarterly budget of $600,000. She
nalin [4]

The meaning of this problem is that with 7 nurses they can only hire D=13.25

<h3>What is the meaning of this problem.?</h3>

Generally, the equation for the model is  mathematically given as

P=1000D^{0.6}N^{0.3}

Therefore,

dv/dD=0.6*1000*D^{0.4}N)^{0.3}

dv/dD=600* \frac{N6.1}{D6.1}=0

Also

dv/dN=300* \frac{N6.8}{N6.7}=0

Equations 1 and 2

300* \frac{D6.8}{N6.7}=600* \frac{N6.1}{D6.1}

.sub D=(60N)/4

300* \frac{((60N)/4)6.8}{N6.7}=600* \frac{N6.1}{((60N)/4)6.1}

N=6.67

N=7

solve for D

D=(60(7))/4

D=13.25

In conclusion, with 7 nurses they can only hire D=13.25

Read more about  LaGrange multiplier

brainly.com/question/4609414

#SPJ1

8 0
2 years ago
For the most recent year available, the mean annual cost to attend a private university in the United States was $20,307. Assume
Maksim231197 [3]

Answer:

27,361.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 20307, \sigma = 4275

Ninety-five percent of all students at private universities pay less than what amount?

This is the 95th percentile, that is, X when Z has a pvalue of 0.95. So X when Z = 1.65.

Z = \frac{X - \mu}{\sigma}

1.65 = \frac{X - 20307}{4275}

X - 20307 = 1.65*4275

X = 27,361

So the answer is 27,361.

7 0
3 years ago
The last question is not 3.6
I am Lyosha [343]

I’m assuming that you only need the answer to the last one but let me know if I’m wrong :)))

I believe C would be 23.6

8 0
3 years ago
Solve for a^2+b^2=c^2
Kay [80]
In this equation, there is nothing to solve for.  However, the expression a^{2} + b^{2} = c^{2} is the Pythagorean theorem.  If there is a right triangle, then when the lengths of two shorter legs (a and b) are added together, and then square rooted, you get c, which is the hypotenuse.

Hope this helps!
5 0
3 years ago
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