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Vanyuwa [196]
3 years ago
6

Tell whether the given value is a solution of the inequality

Mathematics
1 answer:
Arisa [49]3 years ago
4 0
Yes 4 is a value of the solution.

If we plug in 4 to s we get:
4+6 <= 12
10 <= 12

and 10 is in fact less than 12
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Which of the following is a root of the polynomial shown below? f(x)=x^3-x^2-9x+9
maxonik [38]

Answer:

-3 is the best answer i hope it helps


Step-by-step explanation:


8 0
3 years ago
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PLS help will gift 20 extra point for the first to answer it
Sonja [21]

Answer:

No, his inference is not valid

Step-by-step explanation:

the data shown represents the statistic of 100 people's preferred ways to view movies in total

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trent inferences that out of 400 people 300 would prefer to watch in theatre another way to write this is 300/400

if we multiply the data we're given so that the denominators match Trent's inference. The data tells us that 120/400 would prefer to watch in theatre, so his inference is not valid.

4 0
3 years ago
What is the answer to 532.4 × 100
Westkost [7]
When multiplying 532.4 x 100, you simply move the decimal two spaces to the right, because 100 has 2 zeros. Thus, your answer is 53,240.
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4 years ago
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The curves r1(t) = 4t, t2, t3 and r2(t) = sin(t), sin(5t), 2t intersect at the origin. find their angle of intersection, θ, corr
san4es73 [151]
First get the tangent vectors by differentiating r1 and r2 
r_1 '(t) = (4,2t,3t^2) \\  \\  r_2'(t) = (cos (t), 5 cos(5t), 2)
Evaluate at t=0
r_1' = (4,0,0) \\  \\ r_2' = (1,5,2)

Use identity for angle between 2 vectors:
u*v = |u| |v| cos \theta

Evaluate dot product and unit vectors:
u*v = (4,0,0)*(1,5,2) = 4 \\  \\ |u| = \sqrt{4^2 +0^2+0^2} = 4 \\  \\ |v| = \sqrt{1^2 + 5^2+2^2} = \sqrt{30}

Sub into identity and solve for theta:
4 = 4 \sqrt{30} cos \theta \\  \\ cos\theta = \frac{1}{\sqrt{30}} \\  \\ \theta = 79.48

Answer:
Angle of intersection is about 79 degrees.




5 0
4 years ago
△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 20°. Using the
Umnica [9.8K]

△ABC has interior angles with measures x°, 100°, and 70°.

By using angle sum property, which states that the sum of measures of all three angles is 180 degrees.

x^{\circ}+100^{\circ}+70^{\circ}=180^{\circ}

x^{\circ}=10^{\circ}

Now, △DEF has interior angles with measures y°, 70°, and 20°.

By using angle sum property,

y^{\circ}+70^{\circ}+20^{\circ}=180^{\circ}

y^{\circ}=90^{\circ}

Now, we can say that,

"The two triangles are not similar because x≠y"

As one angle of measure 70 degree is common in both the triangles.

If 'x' would be equal to 'y' , then we could say that the triangles are similar by AA criteria.

Therefore, the two triangles are not similar because x is not equal to y.

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3 years ago
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