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Veseljchak [2.6K]
3 years ago
5

Help please, detailed explanation would be nice too if possible

Mathematics
2 answers:
diamong [38]3 years ago
6 0

Answer:

b) 1

Step-by-step explanation:

hope it's helpful.....

polet [3.4K]3 years ago
3 0

Answer:

  b)  1

Step-by-step explanation:

The average rate of change on an interval is given by the rise on the interval divided by the run (the width of the interval). Here, the end points are ...

  (5, -3) and (8, 0)

The rise is 0-(-3) = 3. The run is 8 -5 = 3. The ratio of rise to run is 3/3 = 1.

The average rate of change on [5, 8] is 1.

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9. Find the mean of the data set: 2, 3, 4, 5, 5
Leni [432]

Answer: Step 1 box= 19 (2+3+4+5+5)

Step 2 box= 3.8 (19 divided by 5)

Step-by-step explanation:

You add together the numbers to get 19, the you divide the number by five because you added 5 numbers together.

You had it just right on the bottom. Your equation was perfect. It doesn't matter if you get a decimal number.

Your answers are right too, I double checked.

Hope I was helpful.

6 0
2 years ago
Desmond really like Legos. Last Saturday Desmond counted his Legos and realized that
Burka [1]

Answer: 14 red, 7 green, 44 blue

Step-by-step explanation:

First, use the letter <em>r</em> as a variable to represent the number of red Legos. The number of green Legos (<em>g</em>) is 7 less than the number of red Legos, or <em>g = r-7.</em> The number of blue Legos (b) is 2 more than 3 times the number of red Legos, or <em>b = 3r+2</em>. The total number of Legos is the number of red + green + blue Legos, which can be represented as <em>65 = r+g+b</em>.

Substitute the equations for g and b in. This should give you a final equation of <em>65 = r+(r-7)+(3r+2)</em>. To solve for the number of <u>red</u> Legos, first add up all of the terms to get <em>65 = 5r-5</em>. Now add 5 to each side (70<em> = 5r</em>). Finally, divide each side by 5 (r = 14).

To find the number of <u>green</u> Legos, substitute the number of red Legos (14) into the equation for the green Legos (<em>g = r-7</em>). This should get you the equation <em>g = 14-7</em> which simplifies to g = 7.

To find the number of <u>blue</u> Legos, substitute the number of red Legos (14) into the equation for the blue Legos (<em>b = 3r+2</em>). This gives you the equation <em>b = (3*14)+2.</em> First, multiply 3 and 14 to get <em>b = 42+2</em>. Finally, add them together to get b = 44.

6 0
2 years ago
Round 1.3981 to 3 significant figures
Scorpion4ik [409]
The answer would be 1.40. The 3 significant figure are 1.39 and it wants us to round so we look at the 8 in 1.3981 and since 8 > 5 we know to round up.
4 0
3 years ago
For the cost function c equals 0.1 q squared plus 2.1 q plus 8​, how fast does c change with respect to q when q equals 11​? Det
Soloha48 [4]

Answer:

Rate of change of c with respect to q is 4.3

Percentage rate of change c with respect to q is  9.95%

Step-by-step explanation:

Cost function is given as,  c=0.1\:q^{2}+2.1\:q+8

Given that c changes with respect to q that is, \dfrac{dc}{dq}. So differentiating given function,  

\dfrac{dc}{dq}=\dfrac{d}{dq}\left (0.1\:q^{2}+2.1\:q+8 \right)

Applying sum rule of derivative,

\dfrac{dc}{dq}=\dfrac{d}{dq}\left(0.1\:q^{2}\right)+\dfrac{d}{dq}\left(2.1\:q\right)+\dfrac{d}{dq}\left(8\right)

Applying power rule and constant rule of derivative,

\dfrac{dc}{dt}=0.1\left(2\:q^{2-1}\right)+2.1\left(1\right)+0

\dfrac{dc}{dt}=0.1\left(2\:q\right)+2.1

\dfrac{dc}{dt}=0.2\left(q\right)+2.1

Substituting the value of q=11,

\dfrac{dc}{dt}=0.2\left(11\right)+21.

\dfrac{dc}{dt}=2.2+2.1

\dfrac{dc}{dt}=4.3

Rate of change of c with respect to q is 4.3

Formula for percentage rate of change is given as,  

Percentage\:rate\:of\:change=\dfrac{Q'\left(x\right)}{Q\left(x\right)}\times 100

Rewriting in terms of cost C,

Percentage\:rate\:of\:change=\dfrac{C'\left(q\right)}{C\left(q\right)}\times 100

Calculating value of C\left(q \right)

C\left(q\right)=0.1\:q^{2}+2.1\:q+8

Substituting the value of q=11,

C\left(q\right)=0.1\left(11\right)^{2}+2.1\left(11\right)+8

C\left(q\right)=0.1\left(121\right)+23.1+8

C\left(q\right)=12.1+23.1+8

C\left(q\right)=43.2

Now using the formula for percentage,  

Percentage\:rate\:of\:change=\dfrac{4.3}{43.2}\times 100

Percentage\:rate\:of\:change=0.0995\times 100

Percentage\:rate\:of\:change=9.95%

Percentage rate of change of c with respect to q is 9.95%

7 0
2 years ago
C=
malfutka [58]

Answer:

flamecakes

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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