Find the x and y intercepts

F(x) = 2x2 - 4x?; Find (-4)

anastassius [24]

Answer:

0 (zero)

Step-by-step explanation:

Plug in the variable for -4 and solve

y= 2(-4)2-4(-4)

y= -8(2)-4(-4)

y=-16+16

y=0

4 0

3 years ago

A) NO CHANGE

shutvik [7]

The most appropriate choice for sentence correction will be given by: straightforward (option D).

<h3>What is sentence correction?</h3>

Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.

Now,

In the given Sentence, "Her goals were <u>straightforward, however:</u> reduce waste, maintain and perpetuate knowledge and skills, and strengthen community."
The most appropriate choice for sentence correction will be given by: straightforward (option D).

To learn more about sentence correction, refer to the link: brainly.com/question/14632568

#SPJ4

8 0

2 years ago

Calculus 3 chapter 16

o-na [289]

Evaluate $\vec F$ at $\vec r$ :

$\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k$

Compute the line element $d\vec r$ :

$d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt$

Simplifying the integrand, we have

$\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt$

Then the line integral evaluates to

$\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}$

3 0

1 year ago

A certain article reported the following observations, listed in increasing order, on drill lifetime (number of holes that a dri

aleksklad [387]

Answer:

Sample mean =119.42

Median = 92

25% trimmed mean = 102.42

10% trimmed mean = 95.69

Step-by-step explanation:

Data in increasing order :

12 13 20 23 31 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249 262 289 323 388 513

Total no. of observations = 50

Sample mean = $\frac{\text{Sum of all observations}}{\text{Total number of observations}}$

= $\frac{5971}{50}$ = 119.42

Median: Since we have even number of observation

Median = $\frac{1}{2}({25\text{th term} + 26\text{th term})$ = $\frac{91+93}{2}$ = 92

10% Trimmed Mean: We remove 5 values from each side

Trimmed set = 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249

Trimmed mean = $\frac{\text{Sum of Trimmed Set}}{\text{Total number of observations}}$ = $\frac{4097}{40}$ = 102.42

25% Trimmed Mean: We remove 12 values from each side.

Trimmed set = 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141

Trimmed mean = $\frac{\text{Sum of Trimmed Set}}{\text{Total number of observations}}$ = $\frac{2488}{26}$ = 95.69

6 0

3 years ago

Find the distance between the points:

lesantik [10]

To calculate distance between two points we use the distance formula sqrt((x2−x1)^2+(y2−y1)^2).

To start, we find the square of the distance between x1 and x2 and y1 and y2. The distance between x1 and x2, or 1 and 3, is 2. The distance between y1 and y2, or 3 and -4, is 7.

Now we square 2 and 7 and add them together to get 4 + 49 = 53.

The last thing we do to find the distance is take the square root of 53. 53 is not a perfect square and is also a prime number so our answer in simplest form is still sqrt53.<span />

6 0

2 years ago