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Andrew [12]
3 years ago
10

What's is the magnitude of vector i+j+k​

Mathematics
1 answer:
IrinaVladis [17]3 years ago
8 0
The magnitude is what it equals
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Condense the following logs into a single log:
mamaluj [8]

QUESTION 1

The given logarithm is

8\log_g(x)+5\log_g(y)

We apply the power rule of logarithms; n\log_a(m)=\log_(m^n)

=\log_g(x^8)+\log_g(y^5)

We now apply the product rule of logarithm;

\log_a(m)+\log_a(n)=\log_a(mn)

=\log_g(x^8y^5)

QUESTION 2

The given logarithm is

8\log_5(x)+\frac{3}{4}\log_5(y)-5\log_5(z)

We apply the power rule of logarithm to get;

=\log_5(x^8)+\log_5(y^{\frac{3}{4}})-\log_5(z^5)

We apply the product to obtain;

=\log_5(x^8\times y^{\frac{3}{4}})-\log_5(z^5)

We apply the quotient rule; \log_a(m)-\log_a(n)=\log_a(\frac{m}{n} )

=\log_5(\frac{x^8\times y^{\frac{3}{4}}}{z^5})

=\log_5(\frac{x^8 \sqrt[4]{y^3} }{z^5})

7 0
3 years ago
Simplify for this question !
PolarNik [594]

Answer:

=6x^9-3 [12/2=6]

=6x^6

6 0
3 years ago
Read 2 more answers
A 6 ft tall tent standing next to a cardboard box casts a 15 ft shadow. if the cardboard box casts a shadow that is 6 ft long th
ohaa [14]
What we know is that a 6 foot tall tent casts a 15 foot shadow. Lets represent that given this way: 6 = 15
So, the unknown (y), or what we want to know, is how tall the cardboard box if it has a 6 foot long shadow (noticeably the same height as the tent):
y = 6

6 = 15
y = 6

(6 x 6) / 15 = y
36 / 15 = y
2.4 = y

The height of the cardboard box is 2.4 feet.
4 0
3 years ago
⅘ of a packet of sweets are fizzy. If there are 40 sweets in the packet, how many are fizzy sweets?
Colt1911 [192]

Answer:

32 fizzies

Step-by-step explanation:

4/5 = .8

.8 x 40 = 32

- I found that 80% of 40 is 32 therefore 32 fizzies are in the packet of sweets.

- Hope this helps! If you need a further explanation please let me know.

4 0
3 years ago
Jillian is using integer tiles to add 7 + (negative 2). She uses the steps below. Step 1 7 positive tiles. Step 2 7 positive til
raketka [301]

Answer:

<h3>Step 4</h3>

Step-by-step explanation:

Given the expression 7+(-2)

Let 7 be 7 positive tiles since it is a positive number

Let -2 be 2 negative tiles being a negative number

7+(-2) = 7 positive tiles <em>and</em> 2 negative tiles

note that + * - will give minus sigh (-), the expression will become:

7+(-2) = 7-2

7-2 = 5

Hence the expression gives 5 positive tiles not 2 positive tiles according to Jillian calculations in step 4.

Hence Jillian made an error in step 4

7 0
3 years ago
Read 2 more answers
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