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yan [13]
3 years ago
8

Which is equivalent to 3√8^x X√8^3 8^3/x 8^x/3 8^3x

Mathematics
1 answer:
MrRissso [65]3 years ago
6 0

\sqrt[n]{a^m}=a^\frac{m}{n}


\sqrt[3]{8^x}=8^\frac{x}{3}

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Find the value of x in the triangle. SU RV
kodGreya [7K]

Answer:

x = 8

Step-by-step explanation:

Δ TSU and Δ TRV are similar , thus the ratios of corresponding sides are equal, that is

\frac{TS}{TR} = \frac{TU}{TV} , substitute values

\frac{x}{x+16} = \frac{5}{15} = \frac{1}{3} ( cross- multiply )

3x = x + 16 ( subtract x from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

5 0
3 years ago
No work needed! pythagorean theorem.
Ulleksa [173]

2) x = 4

4) x = sqrt(106) = 10.3

7 0
3 years ago
44. Express each of these system specifications using predicates, quantifiers, and logical connectives. a) Every user has access
DENIUS [597]

Answer:

a. ∀x (User(x) → (∃y (Mailbox(y) ∧ Access(x, y))))

b. FileSystemLocked → ∀x Access(x, SystemMailbox)

c. ∀x ∀y ((Firewall(x) ∧ Diagnostic(x)) → (ProxyServer(y) → Diagnostic(y))

d. ∀x (ThroughputNormal ∧(ProxyServer(x)∧ ¬Diagnostic(x))) → (∃y Router(y)∧Functioning(y))

Step-by-step explanation:

a)  

Let the domain be users and mailboxes. Let User(x) be “x is a user”, let Mailbox(y) be “y is a mailbox”, and let Access(x, y) be “x has access to y”.  

∀x (User(x) → (∃y (Mailbox(y) ∧ Access(x, y))))  

(b)

Let the domain be people in the group. Let Access(x, y) be “x has access to y”. Let FileSystemLocked be the proposition “the file system is locked.” Let System Mailbox be the constant that is the system mailbox.  

FileSystemLocked → ∀x Access(x, SystemMailbox)  

(c)  

Let the domain be all applications. Let Firewall(x) be “x is the firewall”, and let ProxyServer(x) be “x is the proxy server.” Let Diagnostic(x) be “x is in a diagnostic state”.  

∀x ∀y ((Firewall(x) ∧ Diagnostic(x)) → (ProxyServer(y) → Diagnostic(y))  

(d)

Let the domain be all applications and routers. Let Router(x) be “x is a router”, and let ProxyServer(x) be “x is the proxy server.” Let Diagnostic(x) be “x is in a diagnostic state”. Let ThroughputNormal be “the throughput is between 100kbps and 500 kbps”. Let Functioning(y) be “y is functioning normally”.  

∀x (ThroughputNormal ∧(ProxyServer(x)∧ ¬Diagnostic(x))) → (∃y Router(y)∧Functioning(y))

4 0
3 years ago
If all possible samples of size n are drawn from an infinite population with a mean of 20 and a standard deviation of 5, then th
Ugo [173]

Answer:

25

Step-by-step explanation:

We know that the standard error of the sampling distribution of sample means is

Standard error=standard deviation/√n

√n=standard deviation/Standard error

n=(standard deviation/Standard error)²

We are given that standard deviation=5 and standard error=1. So,

n=(5/1)²

n=5²

n=25.

Thus, the required sample size is 25.

3 0
3 years ago
THERE HAS GOT TO BE SOMEBODY WHO CAN ANSWER THIS AND PLZ EXPLAIN-WILL GIVE BRAINLIEST
Vinvika [58]

152640 grams per day

10^2 is 100

4.5 x 100= 450 grams per person per day

3.2 x 106=339.2

339.2 x 450= 152640

6 0
3 years ago
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