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stira [4]
2 years ago
6

Dan found 74 seashells on the beach, he gave Benny 73 of

Mathematics
2 answers:
Andrew [12]2 years ago
6 0

Answer:

Dan has 1 seashell

Step-by-step explanation:

74-73=1

exis [7]2 years ago
6 0

Answer:

He will have 1 Seashell

Step-by-step explanation:

He started with 74 and gave 73 away.

74-73 is 1.

Hope that helps!

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How many permutations exist of the letters a, b, c, d taken two at a time?
Fittoniya [83]
The number of permutations of the 4 different letters, taken two at a time, is given by:
4P2=\frac{4!}{2!}=12
3 0
3 years ago
Read 2 more answers
44 is equal to 8 times a number minus 4. what is the number?
postnew [5]

Answer:

6

Step-by-step explanation:

Let "a number" = x

44 = 8x - 4

Simplify. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First add 4 to both sides:

44 (+4) = 8x - 4 (+4)

44 + 4 = 8x

48 = 8x

Isolate the variable, x. Divide 8 from both sides:

(48)/8 = (8x)/8

x = 48/8

x = 6

6 is your answer.

~

3 0
3 years ago
Read 2 more answers
2 x 6/7 <br><br> SEND HELP!!!!!!!!!!!
Allushta [10]

Answer: C. 2 6/7

Hope that helped! :)

8 0
3 years ago
Use the functions to find x
suter [353]

Answer:

x = 14

Step-by-step explanation:

f(x) = 10 -  \frac{9}{2} x \\  \\ plug \: f(x) =  - 53 \\  \\  - 53 = 10 -  \frac{9}{2} x \\  \\ \frac{9}{2} x  = 10 + 53 \\  \\ \frac{9}{2} x  = 63 \\  \\ x = 63 \times  \frac{2}{9}  \\  \\ x = 7 \times 2 \\  \\ x = 14

5 0
3 years ago
Find all unit vectors that are orthogonal to the vector u = 1, 0, −4 .
KIM [24]

Answer:

Step-by-step explanation:

Given:

u = 1, 0, -4

In unit vector notation,

u = i + 0j - 4k

Now, to get all unit vectors that are orthogonal to vector u, remember that two vectors are orthogonal if their dot product is zero.

If v = v₁ i + v₂ j + v₃ k is one of those vectors that are orthogonal to u, then

u. v = 0                    [<em>substitute for the values of u and v</em>]

=> (i + 0j - 4k) . (v₁ i + v₂ j + v₃ k)  = 0               [<em>simplify</em>]

=> v₁ + 0 - 4v₃ = 0

=> v₁ = 4v₃

Plug in the value of v₁ = 4v₃ into vector v as follows

v = 4v₃ i + v₂ j + v₃ k              -------------(i)

Equation (i) is the generalized form of all vectors that will be orthogonal to vector u

Now,

Get the generalized unit vector by dividing the equation (i) by the magnitude of the generalized vector form. i.e

\frac{v}{|v|}

Where;

|v| = \sqrt{(4v_3)^2 + (v_2)^2 + (v_3)^2}

|v| = \sqrt{17(v_3)^2 + (v_2)^2}

\frac{v}{|v|} = \frac{4v_3i + v_2j + v_3k}{\sqrt{17(v_3)^2 + (v_2)^2}}

This is the general form of all unit vectors that are orthogonal to vector u

where v₂ and v₃ are non-zero arbitrary real numbers.

3 0
3 years ago
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