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jasenka [17]
2 years ago
5

Answer urgent please!!

Mathematics
1 answer:
butalik [34]2 years ago
4 0

Answer:

  • 15

Step-by-step explanation:

u=5i-j\\\\v=3i+j\\\\w=i+4j\\

v+w

3i+j+i+4j\\\\4i+5j\\\\u*(v+w)\\\\(5i-j)(4i+5j)\\\\20-5\\\\\boxed{15}

~

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Type the correct answer in the box. Use numerals instead of words.
artcher [175]

Answer:

100

Step-by-step explanation:

8 0
3 years ago
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Which of the following equations is equivalent to log(y)= 3.994 ?
Kisachek [45]

Answer:

The correct answer is option D: y = 10^{3.994}

Step-by-step explanation:

Given:  

log(y)= 3.994

Solution:

A logarithm base b of a positive number x satisfies the following definition:

y =log_b(x) => b^y =x

For x > 0, b >0, b \neq 1

Also if no base  b  is indicated, the base of the logarithm is assumed to be  10 .

Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10

now

log_{10}(y)= 3.994

Then

y = 10^{3.994}

4 0
3 years ago
the ratio of 7th graders to 8th grader at a school dance is 3 to 2. there are 54 7th graders at a dance. how many 8th graders ar
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3 years ago
Find the value of the trigonometric ratio. Simplify the ratio if possible.
sweet [91]

Step-by-step explanation:

Given that,

BC = 8

Ac = 15

We can find AB using the pythagoas theorem.

AB=\sqrt{AC^2+BC^2}\\\\=\sqrt{15^2+8^2}\\\\AB=17

We know that,

\cos\theta=\dfrac{B}{H}, B is base and H is Hypotenuse

\cosB=\dfrac{8}{17}

Hence, this is the required solution.

3 0
3 years ago
The table shows the heights in inches of trees after they have been planted. Determine the equation which relates x and y.
fenix001 [56]
To get the that relates x and y, we choose two points on the table and use the equation of a straight line as follows:

Recall that the equation of a staight line is obtained from the formula
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}

Using the points (30, 18) and (36, 24), we have
\frac{y-18}{x-30} = \frac{24-18}{36-30}= \frac{6}{6} =1 \\  \\ \Rightarrow y-18=x-30 \\  \\ \Rightarrow y=x-30+18 \\  \\ \Rightarrow y=x-12
8 0
3 years ago
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