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Leno4ka [110]
3 years ago
13

What is the product of 8.4 times the quantity of 10 raised to the power of 7

Mathematics
1 answer:
TEA [102]3 years ago
6 0
84,000,000 is the answer
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Does this parabola have a maximum or minimum value?<br> y=-9(x-4)2-3
lara [203]

Answer:

I think it is a maximum value.

5 0
2 years ago
Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.
hoa [83]

Answer:

Hence, the average rate of change is:

\dfrac{97}{12}

Step-by-step explanation:

We are asked to calculate the average value of the function:

f(x)=x^2-\dfrac{1}{x}-4 in 2 ≤ x ≤ 6

The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6  is given as:

\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}

Now,

f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}

f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}

Hence, the average rate of change is:

\dfrac{\dfrac{191}{6}-\dfrac{-1}{2}}{4}\\\\=\dfrac{194}{6\times 4}\\\\=\dfrac{97}{12}

Hence, the average rate of change is:

\dfrac{97}{12}

8 0
3 years ago
Read 2 more answers
According to a college survey 32% of all students work fulltime. Find the mean for the number of students who work full time in
VLD [36.1K]

Answer:

mean is equal to 5.12

Step-by-step explanation:

<em>We are given that 32% of college students work fulltime. We have to find the mean for the number of student s who are working full time in a sample of 16</em>

success rate, p = 32% = 0.32

Sample size is denoted as n = 16

The forumla of mean is given as

mean = sample size × success rate

mean = n × p

         = 16 × 0.32

         = 5.12

3 0
2 years ago
What set of reflections would carry rectangle ABCD onto itself?
Furkat [3]
Answer: option <span>D) y=x, x-axis, y=x, y-axis</span>.

I first thought it was the option C) and I tried with it but it was wrong. This is how I dit it.

Option C step by step:

<span>1) Reflection over the x - axis => point with coordinates (a,b) is transformed into point with coordinates (a, -b)

2) Reflection over the line y = x  => point with coordinates (a, -b) is transformed into point with coordinates (-b,a)

3) New feflection over the x - axis => (-b,a) transforms into (-b, -a)

4) New reflection over the line y = x => (-b,-a) transforms into (-a,-b)

Which shows it is not the option C).

Then I probed with option D. Step by step:

1) Reflection over the line y = x => (a,b) → (b,a)

2) Reflection over the x-axis => (b,a) → (b,-a)

3) Reflection over the line y = x => (b,-a) → (-a,b)

4) Reflection over the y-axis => (-a,b) → (a,b).

So, this set of reflections, given by the option D) transforms any point into itself, which proofs that the option D) is the right answer.
</span>
7 0
3 years ago
Which method may be fastest if both equations are in standard form with the x's and y's lined up?
Svetradugi [14.3K]
The answer is graphing
4 0
2 years ago
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