Help with Algebra 2, forgot how to do it

Answer:

-2csc^2(x)cot(x)

Step-by-step explanation:

by derivative sin^-2(x)

Solving a cubic equation, it is found that the dimensions of the container are of 1 inch, 9 inches and 5 inches.

The volume of the cubic container is given by the following equation:

[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]

Since it holds 45 cubic inches of merchandise, we have that [tex]V(h) = 45[/tex], then:

[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]

[tex]45 = 2h^3 - 9h^2 + 4h[/tex]

[tex]2h^3 - 9h^2 + 4h - 45 = 0[/tex]

Using a cubic equation calculator, the real solution is [tex]h = 5[/tex], thus, the dimensions are:

[tex]h = 5[/tex]

[tex]h - 4 = 5 - 4 = 1[/tex]

[tex]2h - 1 = 2(5) - 1 = 10 - 1 = 9[/tex]

The dimensions of the container are of 1 inch, 9 inches and 5 inches.

A similar problem is given at https://brainly.com/question/16606259

Answer:

two triangles, the top of one figure with the bottom of the other figure, 8 and 4

Step-by-step explanation:

I am not sure if it's right but I hope it is!

Ratio = 2 : 5

Numbers = 2x & 5x

[tex]2x + 5x = 21 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3[/tex]

Numbers :-

2x = 2 × 3 = 6

5x = 5 × 3 = 15.

The numbers are 6 & 15.

Answer:

888888

Step-by-step explanation:

Answer:

The first dot is on -9 and the second dot is on -7.

(a) -9 is to the left of -7.

(b) -9<-7

Step-by-step explanation:

The height of the triangle if the base is 8 is 3.96 units

Given the following parameters

Base of a triangle = 8 units

Let the hypotenuse be "c"

Let the height be "h"

If the length of the hypotenuse of a right triangle is one unit more than twice the height, then;

c = 2h + 1

According to the Pythagoras theorem:

c² = b² + h²

(2h + 1)² = 8² + h²

Expand

4h²+4h+1 = 64 + h²

4h²-h² + 4h + 1 - 64 = 0

3h² + 4h - 63 = 0

Factorize the result

On factorizing, the value of the height is 2

h = [tex]\frac{-2}{3}+\frac{\sqrt{193} }3\\[/tex]

h = 11.89/3

h = 3.96 units

Hence the height of the triangle if the base is 8 is 3.96 units

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Answer:

Step-by-step explanation:

[tex] {4x}^{2} - 16x + 12 = 0 \\ {4x}^{2} - 4x - 12x + 12 = 0 \\ 4x(x - 1) - 12(x - 1) = 0 \\ (4x - 12)(x - 1) = 0 \\ [/tex]

(4x - 12) = 0 or (x - 1) = 0

[tex](4x - 12) = 0 \\ 4x - 12 = 0 \\ 4x = 0 + 12 \\ 4x = 12 \\x = \frac{12}{4} \\ x = 3 \\ [/tex]

[tex](x - 1) = 0 \\ x - 1 = 0 \\ x = 0 + 1 \\ x = 1[/tex]

x = 3 or x = 1 should be.

Answer: 75 ft

Step-by-step explanation:

45x10 = 450

450/6=75

Answer:

75 feet

Step-by-step explanation:

10 divided by six is 3/2, in 1 second, a penguin walks 3/2 feet. With this logic, in 45 seconds a penguin walks 75 feet since 45 times 3/2 is 75.

I don’t really get that sorry I would love to help but don’t know what that mean.

Answer:

x≤-3 or 2≤x∠7

Step-by-step explanation:

It would be the first answer on the paper

Answer:

A

Step-by-step explanation:

[tex]\frac{x^2+x-6}{x-7} \leq 0\\[/tex]

hence numerator and denominator are of opposite sign.

case1 .

let x²+x-6≥ 0

and x-7<0

x²+x≥6

x²+x+1/4≥6+1/4

(x+1/2)²≥25/4

(x+1/2)²≥(5/2)²

|x+1/2|≥5/2

x+1/2≥5/2

x≥5/2-1/2

x≥2

or

x+1/2≤-5/2

x≤-5/2-1/2

x≤-3

also x-7<0

x<7

combining

x≤-3 or 2≤x<7

case 2.

x²+x-6<0

and x-7≥0

x²+x<6

x²+x+1/4<6+1/4

(x+1/2)²<25/4

|x+1/2|<5/2

so -5/2 <x+1/2<5/2

-5/2-1/2<x<5/2-1/2

-3<x<2

also x-7≥0

so x≥7

combining

we get no vlaue satisfying both the values.

Hence rejected.

Answer:

C

Step-by-step explanation:

There are two negative numbers must be before zero and one positive number must be after zero

A = 2 1/2 = 2.5 between 2 and 3

B = -2.75 between -2.5 and -3

C = -0.25 between 0 and -0.5

Answer:

4−12x

Step-by-step explanation:

Answer:

cyclist will travel 64 kilometres in 4 hours

Step-by-step explanation:

speed of cyclist = 10 miles per hour

given 1 mile is equal to 1.6 kilometres.

1*10 miles will be equal to 1.6*10 kilometres

thus , 10 mile is equal to 16 kilometres

using 16 km in place of 10 miles in 10 miles per hour

we have

speed of cyclist = 16 kilometres per hour

we know that distance = speed * time

speed is 16 kilometres per hour

time 4 hours

thus , distance = 16*4 kilometres= 64 kilometres.

cyclist will travel 64 kilometres in 4 hours.

(Hope this helps can I pls have brainlist (crown)☺️)

for every completed length of audiobook, Zhen spends 6.5 hours working.

C.Zhen spends 6 1/2 hours working per audiobook

Using the Factor Theorem, it is found that the function is given by:

[tex]f(x) = 0.0409(x^3 + x^2 - 77x - 330)[/tex]

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

From the graph, the zeroes are [tex]x_1 = -8, x_2 = -3, x_3 = 10[/tex], hence:

[tex]f(x) = a(x + 8)(x + 3)(x - 10)[/tex]

[tex]f(x) = a(x^2 + 11x + 33)(x - 10)[/tex]

[tex]f(x) = a(x^3 + x^2 - 77x - 330)[/tex]

From the y-intercept, that is, when [tex]x = 0, y = -13.5[/tex], we find a.

[tex]f(x) = a(x^3 + x^2 - 77x - 330)[/tex]

[tex]-330a = -13.5[/tex]

[tex]330a = 13.5[/tex]

[tex]a = \frac{13.5}{330}[/tex]

[tex]a = 0.0409[/tex]

Hence:

[tex]f(x) = 0.0409(x^3 + x^2 - 77x - 330)[/tex]

To learn more about the Factor Theorem, you can take a look at https://brainly.com/question/24380382

Answer:

first guy is wrong

Step-by-step explanation:

my teacher said it's wrong, when I find out the right answer ill put it here

Answer: 52,5%

Step-by-step explanation:

For 6 cases of soda, he had to make a profit in the amount of:

6×300=1800 sh

And also taking into account the fact that he was charged with transportation of 200 ; then he made a profit in the amount of:

1800-200=1600sh

Total  bottles  of soda - 24 × 4= 96 b

He also broke 44 bottles  - 96-44=52 b

Then he earned :

52×15=13×4×15=60×13=780 sh

Then he suffered a loss in the amount of :

1600-780 =820 sh

As a percentage

[tex]\dfrac{820}{1600} \cdot 100=\boldsymbol{51,25 \%}[/tex]

The required area of the figure is 100.75 units².

Area of an object shows that how much space it can cover.

Given is figure, made by scooping out a semicircle from a rectangle of length 14 units and width 10 units,

We need to find the area of the figure,

To find the same, we will find the area of whole rectangle and then subtract the area of the semicircle from it,

Area of a rectangle = length × width = 14 × 10 = 140 units²

Area of a semicircle = π × radius² / 2

Here the diameter of the semicircle will be the width of the rectangle,

So,

Diameter = 10

Radius = 5

Area of a semicircle = 3.14 × 25/2 = 39.25 units²

Now,

The area of the figure = 140 - 39.25 = 100.75 units²

Hence, the required area of the figure is 100.75 units².

Learn more about areas, click;

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Answer:

It should 120 students

Step-by-step explanation:

Answer:

120 students

Step-by-step explanation:

4/7×210=120

Answer:

2 2 y = a x 2 + b x + c ; a ≠ 0 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \frac{x}{y} \\ x \div y \\ - \frac{7}{9} \div - 0.2 \\ - \frac{7}{9} \times - \frac{1}{0.2} \\ \frac{7}{1.8} \\ \frac{7 \times 10}{1.8 \times 10} \\ \frac{70}{18} \\ \frac{35}{9} \\ = 3 \frac{8}{9} \\ [/tex]

Answer:

5437

Step-by-step explanation:

Subtract the original amount 6,719 and 1282

you get 5,437

Hope this helps!

Have a nice day! :D

Mark brainliest if possible pls :)

Answer: 0.556

Step-by-step explanation:

Answer:

5/9 as a decimal is .5 repeating. I hope this helps.

Answer:

Your answer is -5

Step-by-step explanation:

On paper;

Answer: y = -1/2x + 8

Step-by-step explanation:

Answer: Y=-1/2x+8

Step-by-step explanation:

You have to divide

Answer: The last option is the answer

3(3 root 3)-3(3 root 2)

Step-by-step explanation:

=3/0.05

=60ans.

mark me as a brainlist plz.

the answer is 60

You can solve it in calculator