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Ganezh [65]
3 years ago
10

Help with expressing a graph as an inequality ?

Mathematics
1 answer:
IRINA_888 [86]3 years ago
6 0
Its been a little while, but im pretty sure it is y (greater than or equal to sign) 3/4x - 3
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Ps help! will give brainliest answer
andrew-mc [135]

1. 12

2. 96 is greater

3. 19

3 0
2 years ago
amoni is painting a room. He used 2/3 of a gallon of paint to cover 1/4 of a wall. how much paint for the whole wall
sukhopar [10]

Answer:

<u>8/3 or 2 2/3 gallons of paint</u>

Step-by-step explanation:

If 2/3 of paint covers 1/4 of the wall, you must multiply 2/3 by 4 to get 4/4 (the whole wall).

2/3 x 4 = 8/3 or 2 2/3

5 0
2 years ago
Find the angle between u =the square root of 5i-8j and v =the square root of 5i+j.
fenix001 [56]

Answer:

The angle between vector \vec{u} = 5\, \vec{i} - 8\, \vec{j} and \vec{v} = 5\, \vec{i} + \, \vec{j} is approximately 1.21 radians, which is equivalent to approximately 69.3^\circ.

Step-by-step explanation:

The angle between two vectors can be found from the ratio between:

  • their dot products, and
  • the product of their lengths.

To be precise, if \theta denotes the angle between \vec{u} and \vec{v} (assume that 0^\circ \le \theta < 180^\circ or equivalently 0 \le \theta < \pi,) then:

\displaystyle \cos(\theta) = \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|}.

<h3>Dot product of the two vectors</h3>

The first component of \vec{u} is 5 and the first component of \vec{v} is also

The second component of \vec{u} is (-8) while the second component of \vec{v} is 1. The product of these two second components is (-8) \times 1= (-8).

The dot product of \vec{u} and \vec{v} will thus be:

\begin{aligned} \vec{u} \cdot \vec{v} = 5 \times 5 + (-8) \times1 = 17 \end{aligned}.

<h3>Lengths of the two vectors</h3>

Apply the Pythagorean Theorem to both \vec{u} and \vec{v}:

  • \| u \| = \sqrt{5^2 + (-8)^2} = \sqrt{89}.
  • \| v \| = \sqrt{5^2 + 1^2} = \sqrt{26}.

<h3>Angle between the two vectors</h3>

Let \theta represent the angle between \vec{u} and \vec{v}. Apply the formula\displaystyle \cos(\theta) = \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|} to find the cosine of this angle:

\begin{aligned} \cos(\theta)&= \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|} = \frac{17}{\sqrt{89}\cdot \sqrt{26}}\end{aligned}.

Since \theta is the angle between two vectors, its value should be between 0\; \rm radians and \pi \; \rm radians (0^\circ and 180^\circ.) That is: 0 \le \theta < \pi and 0^\circ \le \theta < 180^\circ. Apply the arccosine function (the inverse of the cosine function) to find the value of \theta:

\displaystyle \cos^{-1}\left(\frac{17}{\sqrt{89}\cdot \sqrt{26}}\right) \approx 1.21 \;\rm radians \approx 69.3^\circ .

3 0
2 years ago
I’m plz help fast thanks <br><br><br><br> 16
nataly862011 [7]

Answer:

1/2 <3/4

Step-by-step explanation:

1/2   vs 3/4

We need a common denominator of 4

1/2*2/2   vs   3/4

2/4  vs 3/4

Since the denominators are the same, we compare the numerators

2 <3  so

2/4 < 3/4

1/2 <3/4

5 0
3 years ago
in a window display at a flower shop, there are 3 spots for 1 plant each. to fill these 3 spots, adam has 7 plants to select fro
Andrej [43]

Answer: 210

Step-by-step explanation:

We know that the number of combinations of n things taken r at a time is given by :-

C(n,r)=\dfrac{n!}{r!(n-r)!}

So, number of ways to select 3 plants out of 7 = C(7,3)=\dfrac{7!}{3!4!}=\dfrac{7\times6\times5\times4!}{6\times 4!}=7\times5=35

Also number of ways to arrange them in 3 positions = 3! = 6

Now , total number of arrangements with 1 plant in each spot = (number of ways to select 3 plants out of 7) x (number of ways to arrange them in 3 positions)

= 35 x 6

=210

Hence, required number of ways = 210

5 0
2 years ago
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