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goldenfox [79]
3 years ago
7

A rectangle has a height of 4 and a width of x2 + 3x + 2.

Mathematics
1 answer:
otez555 [7]3 years ago
5 0
<h3><u>Given</u>:</h3>
  • A rectangle has a height of 4 and a width of x² + 3x + 2.

<h3><u>To find</u>:</h3>
  • The area of the entire rectangle.

<h3><u>Solution</u>:</h3>

Hence, we know that area of rectangle is equals to the product of length and breadth.

Therefore, the area of rectangle is,

= 4 \times( {x}^{2}  +3x + 2 ) \\   = 4({x}^{2}  + 3x + 2) \\  =   \green{ \boxed{4 {x}^{2}  + 12x + 8}}

Therefore, the answer is 4x² + 12x + 8.

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The following table shows the​ weights, in hundreds of​ pounds, for six selected cars. Also shown is the corresponding fuel​ eff
Reika [66]

Answer:

Step-by-step explanation:

Given is a table showing  the​ weights, in hundreds of​ pounds, for six selected cars. Also shown is the corresponding fuel​ efficiency, in miles per gallon​ (mpg), for the car in city driving.

Weight Fuel eff. x^2 xy y^2

X Y    

28 20 784 560 400

3 22 9 66 484

35 19 1225 665 361

32 22 1024 704 484

30 23 900 690 529

29 21 841 609 441

     

Mean 26.16666667 21.16666667 797.1666667 549 449.8333333

     

Variance   112.4722222  1.805555556

Covariance -553.8611111    

     

     

r -0.341120235    

Correlaton coefficient =cov (xy)/S_x S_y

Covariance (x,y) = E(xy)-E(x)E(y)

The correlation coefficient between the weight of a car and the fuel efficiency is -0.341

8 0
3 years ago
In March Tom had -£165 in his bank account. In April he had -£156. In which month did he have the least amount of money in his a
Flura [38]
March = -165
April = -156

In march he is negative MORE money, meaning he has MORE money in April

This question is trying to confuse you, ussually the lowest number means less, but these numbers are negative, so the lowest number means more.
He has the least amount of money in March


5 0
3 years ago
Solve the equation. StartFraction dy Over dx EndFraction equals5 x Superscript 4 Baseline (1 plus y squared )Superscript three h
dangina [55]

Answer:

Step-by-step explanation:

To solve the differential equation

dy/dx = 5x^4(1 + y²)^(3/2)

First, separate the variables

dy/(1 + y²)^(3/2) = 5x^4 dx

Now, integrate both sides

To integrate dy/(1 + y²)^(3/2), use the substitution y = tan(u)

dy = (1/cos²u)du

So,

dy/(1 + y²)^(3/2) = [(1/cos²u)/(1 + tan²u)^(3/2)]du

= (1/cos²u)/(1 + (sin²u/cos²u))^(3/2)

Because cos²u + sin²u = 1 (Trigonometric identity),

The equation becomes

[1/(1/cos²u)^(3/2) × 1/cos²u] du

= cos³u/cos²u

= cosu

Integral of cosu = sinu

But y = tanu

Therefore u = arctany

We then have

cos(arctany) = y/√(1 + y²)

Now, the integral of the equation

dy/(1 + y²)^(3/2) = 5x^4 dx

Is

y/√(1 + y²) = x^5 + C

So

y - (x^5 + C)√(1 + y²) = 0

is the required implicit solution

5 0
3 years ago
Help!
vladimir2022 [97]
The answer is D .............
6 0
3 years ago
Pleaseee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!
Aloiza [94]
Srry im late it’s 8 mark Brainly ist
3 0
3 years ago
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