The volume of a rectangular prism is (x^4 + 4x^3 + 3x^2 + 8x + 4), and the area of its base is (x^3 + 3x^2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism? 4 O X+1- X4+4x2 + 3x? +8x+4 4 X+1+ X4-4x2 + 3x2 + 8x+4 x* O x+1-2-3x2 +8 © X+1 +
​

Step-by-step explanation:

a triangle,=180

so 68+35-180=77

then 77+68=145

Answer:

a

Step-by-step explanation:

Answer:

Ernest is six (B)

Step-by-step explanation:

e + 3e = 24

4e=24

[tex]\frac{4e}{4} =\frac{24}{4}[/tex]

e= 6

Answer:

34.2

Step-by-step explanation:

Answer:

K12 Answer

Step-by-step explanation:

Answer:

Least ------> Greatest

32.102, 32.94, 33.6, 34.039, 34.198

Answer:

32.102, 32.94, 33.6, 34.039, 34.198

Step-by-step explanation:

34.039, 32.94, 34.198, 32.102, 33.6

Rearrange:

34.198 > 34.039

33.6 > 32.94 > 32.102

New list: 32.102, 32.94, 33.6, 34.039, 34.198

-Chetan K

Answer:G(-5)=21,  G(-1)=5 G(0)=1 G(2)=-7 G(10)=-39

Step-by-step explanation:

Step-by-step explanation:

f^-1 means the inverse function that finds the x responsible for the creation of a given y (functional result) value.

y = 3x - 1

3x = y + 1

x = 1/3(y + 1)

and now we rename x to y and y to x, so that we get a normal function definition :

y = 1/3(x + 1) = (1/3)x + 1/3

now we create the first derivative d/dx of this function :

y' = 1/3

since both f(x) and f^‐1(x) are line functions with a constant slope, it is not surprising that the first derivative (the function of the slope of the base function) is a constant function.

so, for any value of x (incl. the requested x = 11) d/dx f^-1(x) = 1/3.

therefore also d/dx f^-1(11) = 1/3.

y = 2×sqrt(x)

sqrt(x) = y/2

x = y²/4

again we rename the variables, so that we get a normal function definition for the inverse function :

y = x²/4

the first derivative is :

y' = 2x/4 = x/2

so, d/dx f^-1(6) = 6/2 = 3

Use the inverse function theorem: if f(x) is continuously differentiable at x = a, and given f(a) = b, then f is invertible around x = a, and

[tex]\left(f^{-1}\right)'(b) = \dfrac1{f'(a)}[/tex]

Both the given functions f(x) meet the conditions above. Note that you don't need to actually compute the inverse function itself.

If f(x) = 3x - 1, then f(x) = 11 when

3x - 1 = 11   ⇒   3x = 12   ⇒   x = 4

Now if f(4) = 11, it follows from the inverse function theorem that

[tex]\left(f^{-1}\right)'(11) = \dfrac1{f'(4)} = \boxed{\dfrac13}[/tex]

since f'(x) = 3.

If f(x) = 2√x, then f(x) = 6 when

2√x = 6   ⇒   √x = 3   ⇒   x = ±9

But note that f(x) is defined only for x ≥ 0, so we must take x = 9. Now if f(9) = 6, the inverse function theorem says

[tex]\left(f^{-1}\right)'(6) = \dfrac1{f'(9)} = \dfrac1{\frac1{\sqrt9}} = \boxed{3}[/tex]

since f'(x) = 1/√x.

Answer:

y = 5x - 2

Step-by-step explanation:

y = mx+b

Answer:

y = -5x-2

Step-by-step explanation:

Use slope and y intercept to place the equation into slope intercept for (y=mx+b)

Answer:

63

Step-by-step explanation:

Answer:

From the information given, it is found that the value of the test statistic is z = -11.97.

At the null hypothesis, it is tested if the proportion is of at least 95%, that is:

At the alternative hypothesis, it is tested if the proportion is of less than 95%< that is:

The test statistic is given by:

In which:

is the sample proportion.

p is the value tested at the null hypothesis.

n is the sample size.

In this problem, we have that the parameters are:

.

Thus, the value of the test statistic is:

The value of the test statistic is z = -11.97.

Step-by-step explanation:

hope it helps

please mark brainliest

Answer:

The expression is not factorable with rational numbers.

10x2+11X−6

Step-by-step explanation:

PLS Brainliest

Answer: Mr. Smith makes 14,400, Mr. Kelly makes 9,600

Step-by-step explanation: First add the ratio together. 3+2=5.

Then divide 24,000 into five parts, 24,000/5 = 4,800.

After getting 4,800, multiply 4,800 by 3 to get Mr. Smith's portion of the money received. 4,800 x 3 = 14,000.

And you can do the same for Mr. Kelly but use 2 instead of a 3.

4,800 x 2 = 9,600

To check your work you can add the two answers together

9,600 + 14,400 = 24,000.

Answer:

A. is the correct answer

Step-by-step explanation:

Stay safe.

Answer:

5.83333333333

Step-by-step explanation:  there you go

Answer:

12 cm

Step-by-step explanation:

48/4 is 12 since there is 4 sides and all of them are equal.

Answer:

the answer is 192

Step-by-step explanation:

48 + 48 +48 +48 since a square is 4 sided and you add it all together which gets you 192.

The sum of 6 and x is less than or equal to - 20.

Answer:  (6+x) ≤ -20

Given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]

Given the function, [tex]K(x)= 2x^2 -5x +3[/tex], to find the value of K(-3), substitute -3 for x into  [tex]K(x)= 2x^2 -5x +3[/tex].

[tex]K(-3)= 2(-3)^2 -5(-3) +3\\\\K(-3) = 18 + 15 + 3\\\\\mathbf{K(-3) = 36}[/tex]

Therefore, given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]

Learn more here:

https://brainly.com/question/19027807

Answer:

1111102111

Step-by-step explanation:

a = 1

r = 10

∑1x10^n = 1111102111

where n starts from 1 to 10

Answer:

£48

Step-by-step explanation:

Area of walls = area of four rectangular walls + area of two triangular shape at front and back

Area of a rectangular wall = l *w = 8 * 4 = 32 m²

Area of 4 rectangular walls = 4 *32 = 128 m²

Triangle:

Base = 6m

height = h = 7 - 4 = 3 m

Area of triangle = (1/2)*b*h

                          [tex]= \dfrac{1}{2}*6*3 = 3*3 = 9 \ m^{2}[/tex]

Area of 2 triangles = 2*9 = 18 m²

Area of four walls = 128 + 18 = 146 m²

Number of paint tins required = 146 ÷ 25 = 5.84 = 6

6 tins are required.

Cost of 6 tins = 8 * 6 = £48

The rational form of a ratio is the ratio represented as a fraction (or quotient)

The rational form of the ratio a : b is a/b

The ratio is given as a : b (pronounced a ratio b)

This is properly represented as:

[tex]\mathbf{Ratio = a : b}[/tex]

To convert to rational form, means that we express the ratio as a fraction.

So, the ratio becomes

[tex]\mathbf{Ratio = \frac a b}[/tex] (pronounced a divided by b)

Hence, the rational form of the ratio a : b is a/b

Read more about rational forms at:

https://brainly.com/question/4087967

Answer:

Line I and II are perpendicular

Step-by-step explanation:

Parallel is when the slope is the same

Perpendicular is when the slope is the opposite (positive and negative)

Hope this helps!

Check B

(-3,0) and (0,-3)

Find slope

It has y intercept (0,-3)

Check A

(3,0) and (0,3)

Option A is correct

Answer:

A

Step-by-step explanation:

Positive slope:  as the x-value increases, the y-value increases.

Negative slope:  as the x-value increases, the y-value decreases.

The slope of the graph is -1

As it has a negative sign, the graph has a negative slope.  

As the slope is -1, this means that for every 1 unit increase of the x-value, the y-value decreases by 1 unit.

The line passes through (0, 3)

When the x-value is zero, the line intercepts the y-axis.  

Therefore, the line will intercept the y-axis when y = 3.

Therefore, the graph of the line that passes through (0, 3) and has a slope of -1 is option A.

[tex]\begin{array}{|l|c|c|c|c|}\cline{1-5} & \sf Graph\:A & \sf Graph\:B & \sf Graph\:C & \sf Graph\:D \\\cline{1-5} \sf slope & \sf negative & \sf negative & \sf positive & \sf positive\\\cline{2-5} \sf & -1 & -1 & 1 & 1\\\cline{1-5} \sf y-intercept & (0,3) & (0,-3) & (0,-3) & (0,3)\\\cline{1-5}\end{array}[/tex]

The expression that correctly describes completing the square is;

Option C; x² + ax + (a/2)²

Let's say we have an expression;

x² + ax + c = 0

Let us first rearrange to get;

x² + ax = -c

Add (a/2)² to both sides to get;

x² + ax + (a/2)² = -c + (a/2)²

Thereafter, we can simplify the left hand side to give; (x + a/2)² = -c + (a/2)²

But from the given options, the only one with a corresponding step with what we have is option C which is x² + ax + (a/2)²

Read more at; https://brainly.com/question/13981588

Answer: i think its D

Step-by-step explanation: