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4 years ago

13

Solve for x. −6 = − 3 4 x

1 answer:

borishaifa [10]4 years ago

7 0

-6= -34x
Divide by -34
6/34=x
Simplify
3/17=x

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I need help ASAP please.

stepladder [879]

Answer:

≈150.8

Step-by-step explanation:

The equation for a cylinders surface area ia 2×π×r×h+2×π×r²

Or you can go on google and type in "cylinder surface area"

3 0

3 years ago

Consider the function on the interval (0, 2π). f(x) = 7 sin2(x) + 7 sin(x) (a) Find the open interval(s) on which the function i

-BARSIC- [3]

Answer with Step-by-step explanation:

Given

$f(x)=7sin(2x)+7sin(x)$

Differentiating both sides by 'x' we get

$14cos(2x)+7cos(x)=f'(x)$

Now we know that for an increasing function we have

$f'(x)>0\\\\14cos(2x)+7cos(x)>0\\\\2cos(2x)+cos(x)>0\\\\2(2cos^{2}(x)-1)+cos(x)>0\\\\4cos^{2}(x)+cos(x)-2>0\\\\(2cos(x)+\frac{1}{2})^2-2-\frac{1}{4}>0\\\\(2cos(x)+\frac{1}{2})^2>\frac{9}{4}\\\\2cos(x)>\frac{3}{2}-\frac{1}{2}\\\\\therefore cos(x)>\frac{1}{4}\\\\\therefore x=[0,cos^{-1}(1/4)]\cup [2\pi-cos^{-1}(1/4),2\pi ]$

Similarly for decreasing function we have

$[tex]f'(x)$

Part b)

To find the extreme points we equate the derivative with 0

$f'(x)=0\\\\cos(x)=\frac{1}{4}\\\\x=cos^{-1}(\frac{1}{4})$

Thus point of extrema is only 1.

4 0

4 years ago

Brianna managed to save up $400 and opened up a savings account.The bank offers a 1.25% interest rate to all new savings account

Brilliant_brown [7]

In one month she will have 5 bucks interest with a total of 405$.

8 0

3 years ago

A rose garden can be planted for $4000. The marginal cost of growing a rose is estimated to $0.30,

wariber [46]

Answer:

$C(x)=4000+0.3x$

$R(x)=1.75x$

$Profit= 1.45x-4000$

Step-by-step explanation:

We are given that A rose garden can be planted for $4000.

The marginal cost of growing a rose is estimated to $0.30,

Let x be the number of roses

So, Marginal cost of growing x roses = $0.3x$

Total cost = $4000+0.3x$

So, Cost function : $C(x)=4000+0.3x$ ---A

Now we are given that the total revenue from selling 500 roses is estimated to $875

So, Marginal revenue = $\frac{\text{Total revenue}}{\text{No. of roses}}$

Marginal revenue = $\frac{875}{500}$

Marginal revenue = $1.75$

Marginal revenue for x roses = $1.75x$

So, Revenue function = $R(x)=1.75x$ ----B

Profit = Revenue - Cost

$Profit= 1.75x-4000-0.3x$

$Profit= 1.45x-4000$ ---C

Now Plot A , B and C on Graph

$C(x)=4000+0.3x$ -- Green

$R(x)=1.75x$ -- Purple

$Profit= 1.45x-4000$ --- Black

Refer the attached graph

6 0

3 years ago

A train travels 360 km at a uniform speed, if speed has been increased it will take one hour less for the same journey then find

sesenic [268]

Answer:

Given distance=360 km.

Let the speed of the train be x km/hr.

Speed when increased by 5 km/hr =(x+5) km/hr

x

360

−

(x+5)

360

=1

x(x+5)

[360x+1800−360x]

=1

x

2

+5x−1800=0

x

2

+45x−40x−1800=0

x(x+45)−40(x+45)=0

(x−40)(x+45)=0

x=40,−45

The speed of the train is 40 km/hr.

Step-by-step explanation:

thanks... ☺️

4 0

3 years ago

Read 2 more answers