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WARRIOR [948]
3 years ago
7

PLEASE HELP!! If f (x) = 4x^-2 + 1/4x^2 + 4, then f’(2) =

Mathematics
1 answer:
Elena-2011 [213]3 years ago
4 0
<h3>Answer: D) 0</h3>

Work Shown:

f(x) = 4x^(-2) + (1/4)x^2 + 4

f ' (x) = 4*(-2)x^(-3) + (1/4)*2x .... power rule

f ' (x) = -8x^(-3) + (1/2)x

f ' (2) = -8(2)^(-3) + (1/2)*(2)

f ' (2) = 0

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(x + 3)(x + 7) ≡ x2 + ax + 21
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The answer is c. Hope this helps
4 0
3 years ago
A factory packed 9600kg of flour in to small bags and large bags. Each small bag contained 3kg of flour and each large bag conta
yawa3891 [41]

Answer:

696 large bags of flour were packed.

Step-by-step explanation:

Let large bags of flour be 'y'

Let small bags of flour be 'x'. That is x=2040 (according to the question)

(3 \times x) + (5 \times y) = 9600

(3 \times 2040) + ( 5 \times y) = 9600

(6120) + (5 \times x) = 9600

(5 \times x) = 9600 - 6120

(5 \times x) = 3480

x = 3480  \div 5

x = 696

HOPE IT HELPS

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5 0
3 years ago
A 4 pound bag of cherries costs $12.16. What is the price per ounce?
vfiekz [6]

if 4 pound bag = $ 12.16

1 pound bag = ?

=  \frac{1}{4}  \times 12.6

= $3.15

7 0
3 years ago
Professor Isaac Asimov was one of the most prolific writers of all time. Prior to his death, he wrote nearly 500 books during a
svp [43]

Answer:

Step-by-step explanation:

n = sample size = 5

a) Let us determine the sum

\sum x_i= 100+200+300+400+490=1490

\sum x_i^2= 100^2+200^2+300^2+400^2+490^2=540100

\sum y_i = 237+350+419+465+507=1978

\sum y_i^2= 237^2+350^2+419^2+465^2+507^2=827504

\sum x_i y_i=100  \times 237 + 200\times350+300 \times 419 + 400 \times 465 +  490 \times 507=653830

Now we can determine S_x_x, S_x_y, S_y_y

S_x_x = \sum x_i^2-\frac{(\sum x_1)^2}{n} \\= 540100 - \frac{1490^2}{5} \\= 96080

S_x_y = \sum x_i y_i -\frac{(\sum x_i)(\sum y_i) }{n} \\\\

653830 - \frac{1490 \times 1978 }{5}  = 64386

S_y_y = \sum y_i^2-\frac{(\sum y_i)^2 }{n} = 82750-\frac{1978^2}{5} \\\\= 45007.2

The estimate b of the slope β is the ratio of S_x_y and S_x_x

b = \frac{S_x_y}{S_x_x}

\frac{64386}{96080}  = 0.67

The mean is the sum of all value divide by number of values

\bar x= \frac{\sum x_i}{n} \\\\= \frac{100+200+300+400+490}{5} \\\\= \frac{1490}{5} = 298

\bar y= \frac{\sum y_i}{n} \\\\= \frac{237+350+419+465+507}{5} \\\\= \frac{1978}{5} = 395.6

The estimate a of the intercept is

a = \bar y - b \bar x

= 395.6 - 0.69 \times 298\\= 195.9

General least square equation;

\bar y = \alpha + \beta x

replace alpha by a = 3 and beta by b = 0.67 in general least equation

y = a + bx

195.9 + 0.67x

b)

<em>Scatter plot is shown in the attached file</em>

x is on the horizontal axis

y is n the vertical axis

The degree of freedom of regression is 1

because we use one variable s predictor variable

d_f_R = 1

The degree of freedom of error is the sample size n decrease by 2

d_f_E =n-2= 5 - 2=3

Total df is equal to the sum  of seperate degree of freedom dfR  and dfE

total df = 1 +3  4

SSR = \frac{(S_x_y)^2}{S_x_x} = \frac{64386^2}{96080} \\\\= 43146.9296

Total SS =Syy= 45007.2

SSE + Total SS = SSR

= 45007.2 - 43146.9296

= 1860.2705

7 0
3 years ago
En un entrenamiento, Mariana metió 12 de los 15 tiros al arco que pateo. Carla tuvo una efectividad del 75%. Cual de las dos chi
Lady bird [3.3K]

Answer:

Mariana has better performance.

Step-by-step explanation:

We are given that in a training session, Mariana made 12 of the 15 shots on goal that she kicked and Carla had an effectiveness of 75%.

And we have to find which girl's performance is better.

Since it is stated that Carla had an effectiveness of 75%.

Similarly, we will find the effectiveness of Mariana;

Total shots available to Mariana = 15 shots

Number of shots on goal = 12

So, her effectiveness =  \frac{12}{15} \times 100

                                    =  4 \times 20 = 80%

This shows that Mariana has a better performance as compared to Carla as 80% > 75%.

4 0
3 years ago
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