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3 years ago

Given u = LeftAngleBracket StartRoot 3 EndRoot, negative 1 RightAngleBracket and v = ⟨3, –4⟩, what is u · v?

Mathematics

2 answers:

jarptica [38.1K]3 years ago

7 0

Answer:

Step-by-step explanation:

just took test

Evgesh-ka [11]3 years ago

5 0

Answer:

3√3+4

Step-by-step explanation:

Given the vectors u = <√3, -1> and v = <3, -4>

u · v = <√3, -1> *<3, -4>

u · v = 3√3 + (-1*-4)

u · v = 3√3+(4)

u · v = 3√3+4

Hence the dot product is 3√3+4

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8 gal/h = ________ pt/min

docker41 [41]

$1gal=8pt\\1h=60min\\\\8\ gal/h=8\times\frac{8pt}{60min}=\frac{64}{60}\ pt/min=\frac{16}{15}\ pt/min=1\frac{1}{15}\ pt/min$

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3 years ago

Sixteen added to a number is equal to forty. Find the number.

FinnZ [79.3K]

Answer:

The number is 24

Step-by-step explanation:

Let x = number

Add 16 to the number

x+16

Is equal to 40

x+16 = 40

Subtract 16 from each side

x+16-16 = 40-16

x = 24

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3 years ago

Find the range of 10 12 13 15 16.5

alex41 [277]

Answer:

15.5

Step-by-step explanation:

16.5-10

=15.5

So 15.5 is the range

6 0

2 years ago

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and

lawyer [7]

Functions can be used to model real life situations.

The hose is 3.2 feet above the ground, at a horizontal distance of 4 fee

The function is given as:

$f(x) =-0.3x^2 + 2x$

At a horizontal distance of 4 feet, the value of x is 4

i.e. $x = 4$

Substitute 4 for x in f(x).

So, we have:

$f(4) =-0.3(4)^2 + 2(4)$

Evaluate the exponent

$f(4) =-0.3(16) + 2(4)$

Open both brackets

$f(4) =-4.8 + 8$

Add -4.8 and 8

$f(4) =3.2$

Hence, the hose is 3.2 feet above the ground