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evablogger [386]
4 years ago
8

If some one could help me with these three questions I will be stoked!!!please please help me my teacher didn’t walk us through

this at all

Mathematics
1 answer:
salantis [7]4 years ago
5 0

17) replace the given number for "x" and evaluate

a) x² + 2x + 1   ; when x = 3

  3² + 2(3) + 1

= 9 + 6 + 1

= 16

b) x² + 2x + 1   ; when x = -4

  (-4)² + 2(-4) + 1

= 16 - 8 + 1

= 9

c) x² + 2x + 1   ; when x = 3

  (-22.872)² + 2(-22.872) + 1

= 523.128384 - 45.744 + 1

= 478.384384

18) The dependent variable is affected by the other variable and is the "output"   The independent variable is the input.

a) y = 3x - 5;    "x" is the independent variable

b) the time of day is the independent variable  (you would input the time of day to calculate the temperature).

19) Let the x-axis represent the length of the lumber cut off and the y-axis represent the length of the lumber remaining.

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Diano4ka-milaya [45]

Answer:

71. 8

Step-by-step explanation:

volume of a cylinder = 4/ 3 π r² h

=> 4817 = 4/ 3 × 22/ 7 × 4² × h

=> h = (4817 × 3 × 7)/ (4 × 22 × 4²)

=> h = 71.8

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3 years ago
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In the figure, d || m. What is the value of x?
kotegsom [21]

The angle where the Text is = 86, Im not sure what you want us to do with the equation, but If I put 86 for x the answer is 152, So 152 or 80

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Considering only the values of <img src="https://tex.z-dn.net/?f=%5Cbeta" id="TexFormula1" title="\beta" alt="\beta" align="absm
morpeh [17]

\large\boxed{Answer:}

We will use trigonometric identities to solve this. I will use θ (theta) for the angle.

First of all, we know that cotθ = 1/tanθ. This is a trigonometric identity.

We can replace cotθ in the expression with 1/tanθ.

sin\theta tan\theta sec\theta \frac{1}{tan\theta}

Simplify: 1/tanθ * tanθ = tanθ/tanθ = 1

So now, we have:

sin\theta sec\theta

Next, we also know that secθ = 1/cosθ. This is another trigonometric identity.

We can replace secθ with 1/cosθ in our expression.

sin\theta \frac{1}{cos\theta}

Simplify:

\frac{sin\theta}{cos\theta}

Our third trigonometric identity that we will use is tanθ = sinθ/cosθ.

We can replace sinθ/cosθ with tanθ.

Now we have as our final answer:

\large\boxed{b.\ tan\theta}

Hope this helps!

7 0
3 years ago
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At 5:00 p.m., the outside temperature was –9.2°C. By 10:00 p.m., the outside temperature had dropped 4.5°C. What was the outside
s344n2d4d5 [400]
It dropped by 4.5 means that we have to subtract 4.5 from 9.2

9.2 - 4.5 = 4.7 °C

So 4.7 °C is your answer :D
8 0
3 years ago
A bag contains 666 red balls, 444 green balls, and 333 blue balls. If we choose a ball, then another ball without putting the fi
Ronch [10]

Answer:

P(GR)=\frac{2}{13}

Step-by-step explanation:

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Number Of Green Balls=4

Number Of blue Balls=3

Total Number Of Balls=6+4+3=13

Notice that the two balls are picked without replacement. In this case, the total number of balls always decreases.

P(first ball will be green and the second will be red)

=\dfrac{4}{13} X \dfrac{6}{12}  \\=\dfrac{2}{13}

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