Ryder found the volume of the figure below by using the steps shown. A rectangular prism with a length of 40 millimeters, width of 30 millimeters, and height of 5 millimeters. A rectangular pyramid with a base of 30 millimeters by 40 millimeters and a height of 95 millimeters. Total Volume = B h + one-half B h Equals 5 (40) (3) + one-half (40) (30) (95) Equals 6,000 + 57,000 Equals 63,000 cubic millimeters What mistake, if any, did Ryder make? Ryder determined the volume correctly. Ryder used the wrong formula for the total volume. Ryder used the wrong height for the pyramid. Ryder did not apply the order of operations correctly.

They are 2 and 3, since 2 + 3 = 5

Let x be the smaller number. Then

x + (x + 1) = 5

2x + 1 = 5

2x = 4

x = 2

x + 1 = 3

The volume of the solid will be equal to V=64 Cubic inches.

The space occupied by any solid object in the three-dimension is called as the volume.

Here we have 8 cubes in the solid object each cube has the side equal to 2 inches.

So the volume of one cube will be:

V=a³=2³=8 cubic inches

Since total number of the cubes are 8 so total volume will be:

V=8x8=64 cubic inches

hence the total volume will be equal to 64 cubic inches`

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Step-by-step explanation:

a = -2

b = 3

c = 5

[tex]3ac - a + 2b[/tex]

= Solution,

= 3 ( - 2 ) × 5 - ( - 2 ) + 2 × 3

here ... ( + ) × ( - ) = ( - )

= - 6 × 5 - ( - 2 ) + 2 × 3

here .... ( - ) × ( - ) = ( + )

= - 6 × 5 + 2 + 2 × 3

= - 30 + 2 + 6

= - 30 + 8

here the ( - ) have greater variable so...

= - 22

hence - 22 is the answer . ....

Answer:

A. Emperor is the main character

Step-by-step explanation:

I've read it before

Answer:

11 minutes

Step-by-step explanation:

25 - 14 = 11

Answer:

15 rides for each horse

Step-by-step explanation:

60 minutes in an hour

   90 minutes in an hour and a half

6 minutes per ride (counting the re-saddle time )

   90 min / 6 min/ride = 15 rides     for each horse

Answer:

its b

Step-by-step explanation:

ab equal 76 because 4

Polygon ABCDE was dilated by a scale factor of 2 about the origin and then translated 14 units down to form polygon A'B'C'D'E'

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Polygon ABCDE was dilated by a scale factor of 2 about the origin and then translated 14 units down to form polygon A'B'C'D'E'

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On August 5, 1861, President Lincoln imposes the first federal income tax by signing the Revenue Act. Strapped for cash with which to pursue the Civil War, Lincoln and Congress agreed to impose a 3 percent tax on annual incomes over $800.

Answer:

good luck passing

Step-by-step explanation: -3 -2 1 x 1 2

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{\cfrac{2}{5}}(x-\stackrel{x_1}{(-3)})\implies y-6=\cfrac{2}{5}(x+3)[/tex]

[tex]y-6=\cfrac{2}{5}x+\cfrac{6}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5(y-6)~~ = ~~5\left( \cfrac{2}{5}x+\cfrac{6}{5} \right)}\implies 5y-30~~ = ~~2x+6 \\\\\\ -2x+5y-30=6\implies -2x+5y=36\implies 2x-5y=-36[/tex]

The partial differential expression is equal to the expression 30 · x · (x³ + y⁴) + 36 · x² · y² · (y² + x²) and the total differential formula is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).

In the first part of this question we must apply the concept of partial derivatives to find the form of the entire expression, whose variables are two. Partial differentiation is a generalization of the ordinary differentiation:

[tex]\frac{\partial f}{\partial x} = 6\cdot x^{5}+12\cdot x^{3}\cdot y^{4}+y^{6}[/tex]     (1)

[tex]\frac{\partial^{2} f}{\partial x^{2}} = 30\cdot x^{4}+36\cdot x^{2}\cdot y^{4}[/tex]     (2)

[tex]\frac{\partial^{2} f}{\partial x \,\partial y} = 48\cdot x^{3}\cdot y^{3}+6\cdot y^{5}[/tex]     (3)

[tex]\frac{\partial f}{\partial y} = 12\cdot x^{4}\cdot y^{3} +6\cdot x \cdot y^{5}[/tex]     (4)

[tex]\frac{\partial^{2} f}{\partial y^{2}} = 36\cdot x^{4}\cdot y^{2} + 30\cdot x\cdot y^{4}[/tex]     (5)

[tex]\frac{\partial f}{\partial y \,\partial x} = 48\cdot x^{3}\cdot y^{3}+6\cdot y^{5}[/tex]     (6)

Then, the entire expression is:

30 · x⁴ + 36 · x² · y⁴ + 36 · x⁴ · y² + 30 · x · y⁴

30 · (x⁴ + x · y⁴) + 36 · (x² · y⁴ + x⁴ · y²)

30 · x · (x³ + y⁴) + 36 · x² · y² · (y² + x²)

In the second part we must determine the total differential of z with respect to two variables:

[tex]\Delta z = \frac{\partial f}{\partial x}\cdot \Delta x + \frac{\partial f}{\partial y}\cdot \Delta y[/tex]     (7)

If we know that z = sin (x³ + y³), Δx = 0.3 and Δy = 0.2, then the total differential of the function is:

Δz = 3 · cos (x³ + y³) · x² · (0.3) + 3 · cos (x³ + y³) · y² · (0.2)

Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³)

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Answer:

19.8 rounded to 20m

Step-by-step explanation:

reason;

Area=1/2 x perimeter x apothem

27=1/2 x p x 2.726

Divide both sides by 1/2

54= p x 2.726

Now divide both sides by 2.726 to isolate p

Answer p=19.8

Answer:

B

Step-by-step explanation:

since domain should be in positive i thinks this should be answer B

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

          what is the value of 7x-3y-1 for x = -2 and y = 4?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Replace x with -2 and y with 4:-

[tex]\sf{7(-2)-3(4)-1}[/tex]

On simplification,

[tex]\sf{-14-12-1}[/tex]

On further simplification,

[tex]\sf{-27}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

no

Step-by-step explanation:

Answer:

No, it is not.

Step-by-step explanation:

because 8.5 is the same as 8.50.

Hope this helps!

The solution -1 is an extraneous solution

Neither -1 nor -6 is a true solution to the equation.

Option D is the correct answer.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To solve the equation x + 4 = √(x + 10), we need to isolate the radical term on one side of the equation and then square both sides to eliminate the radical.

Here are the steps:

x + 4 = √(x + 10)

Subtract 4 from both sides:

x = √(x + 10) - 4

Square both sides:

x² = (√(x + 10) - 4)²

Expand the right side using the formula (a - b)^2 = a^2 - 2ab + b^2:

x² = x + 6 - 8√(x + 10)

Move all terms to the left side:

x² - x - 6 + 8√(x + 10) = 0

To solve this equation, we can use a substitution u = √(x + 10):

u = √(x + 10)

Square both sides:

u² = x + 10

Substitute into the original equation:

(u² - 10) + 4 = u

Simplify:

u² - u - 6 = 0

Factor:

(u - 3)(u + 2) = 0

So u = 3 or u = -2.

But u = -2 leads to a negative value under the square root in the substitution u = √(x + 10), which is not allowed.

Therefore, we only consider u = 3, which gives:

√(x + 10) = 3

Square both sides:

x + 10 = 9

Subtract 10 from both sides:

x = -1

So the solution to the original equation is x = -1.

To check if it is extraneous, we need to substitute it back into the original equation:

x + 4 = √(x + 10)

-1 + 4 = √(-1 + 10)

3 = √9

3 = 3

The equation is true, so x = -1 is a valid solution and not extraneous.

Therefore,

Neither -1 nor -6 is a true solution to the equation.

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Answer:

1400

Step-by-step explanation:

i hope this helps u

Answer:

1,400

Step-by-step explanation:

It's closer to 400 than 300

Answer:

When rotating a rectangle 270° counter clockwise, you change the vertices in this way: (x,y) ---> (y,-x).

In other words, the "x" and "y" values switch, and the "x" becomes negative. If the "x" value is already negative, it becomes positive.

E' = (-8,6)   ---->   (6,8)

F' = (-8, 10)   ---->   (10,8)

G' = (-3, 10)   ---->   (10,3)

H' = (-3, 6)   ---->   (6,3)

Answer:

x = 4 and x = -3

Step-by-step explanation:

⇒ x² + x = 12

⇒ x² + x - 12 = 0

⇒ x² + 3x - 4x - 12 = 0

⇒ x(x + 3) - 4(x + 3) = 0

⇒ (x - 4)(x + 3) = 0

⇒ x = 4 and x = -3

Hey there!

x^2 + x = 12

SUBTRACT 12 to BOTH SIDES

x^2 + x - 12 = 12 - 12

SIMPLIFY IT!
x^2 + x - 12 = 0

SET the FACTORS to EQUAL to 0

x - 3 = 0 OR x + 4 = 0

SIMPLIFY IT!
x = 3 or x = -4

Therefore, the answer is:

x = 3 or x = -4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The price for ounce is: $0.25 and she bought 16 ounces of straberris

Step-by-step explanation:

If you have 16 ounces and its 4 dollars you do 4/16 to get 0.25

Answer:

B. 3.16

Step-by-step explanation:

1) formula of the required distance is:
[tex]d=\sqrt{(X_A-X_B)^2+(Y_A-Y_B)^2} ;[/tex]

2) if A(3;-8) and B(0;-9), then according to the formula above:

[tex]d=\sqrt{(0-3)^2+(-9+8)^2} =\sqrt{10}.[/tex]

d≈3.16

Answer:

g(x) = a(x − h)2 + k, where a ≠ 0.

Step-by-step explanation:

The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)2 + k, where a ≠ 0.

answer is given below

29/6 = 203/42

16/7 = 96/42

to make the denominator 42 we use common tables for this just multiplying .

Answer:

the fractions are 203/42 and 96/42

Step-by-step explanation:

[tex]for \: \frac{29}{6} \\ \: multply \: the \: numerator \: and \: denominator \: by \: 7 \\ \frac{29}{6} \times \frac{7}{7} = \frac{203}{42} \\ for \: \frac{16}{7} also \: multiply \: the \: numerator \\ and \: denominatorby \: 6 \\ = \frac{16}{7} \times \frac{6}{6} = \frac{96}{42} [/tex]

Answer:

left one on 3rd row

Step-by-step explanation:

using the rules of exponents/ radicals

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]

given

[tex]12^{-\frac{4}{7} }[/tex]

= [tex]\frac{1}{12^{\frac{4}{7} } }[/tex]

= [tex]\frac{1}{\sqrt[7]{12^{4} } }[/tex]

Step-by-step explanation:

how is that math ?

anyway,

*♡ = O

●* = H

arrow up and filed triangle = E

arrow down and 3/4 circle = R

1. a. No, g(x) is not a function because f(x) is not invertible. This is because it's not a monotonic function, which we gather from the table. On the interval [-2, 3], f(x) decreases from 7 to -2, but on the following interval [3, 4], f(x) increases to 3 and becomes positive once more. At best, f(x) is locally invertible.

1. b. This is impossible to determine... We can't know g(4) without knowing for which x we have f(x) = 4, but that's not included in the table.

1. c. The slope of the tangent line to f(x) at x = -2 is f'(-2) = -4.5. Then the equation of the tangent to f(x) at x = -2 - which means it passes through the point (-2, f(-2)) = (-2, 7) - is

y - 7 = -4.5 (x - (-2))   ⇒   y = -4.5x + 16

2. Given f(x) = arctan(3x) - ln(1 + 9x²), compute the derivative:

f'(x) = 3/(1 + (3x)²) - 18x/(1 + 9x²)

f'(x) = (3 - 18x)/(1 + 9x²)

Find the critical points of f(x), where f'(x) = 0 or doesn't exist. Only the first case can happen since the denominator is never zero. So

3 - 18x = 0   ⇒   x = 1/6

is the only critical point.

Also compute the second derivative, then check its sign at the critical point:

f''(x) = (-18 - 54x + 162x²) / (1 + 9x²)²

f''(1/6) = -72/5 < 0

The negative sign indicates that x = 1/6 is the site of a local maximum of

f(1/6) = arctan(1/2) - ln(5/4) ≈ 0.241

Also check the values of f(x) at the endpoints of the interval [0, 1]:

f(0) = 0

f(1) = arctan(3) - ln(10) ≈ -1.054

So, the maximum value of f(x) on [0, 1] is f(1/6) ≈ 0.241.

Using the uniform distribution, it is found that there is a 0.3608 = 36.08% probability that the male will lose between 19.41 and 23.74 percent of their body weight.

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

In this problem, male black bears will typically drop between 17 to 29 percent of their body weight, hence the bounds are a = 17 and b = 29.

The probability that the male will lose between 19.41 and 23.74 percent of their body weight is given by:

[tex]P(19.41 \leq X \leq 23.74) = \frac{23.74 - 19.41}{29 - 17} = 0.3608[/tex]

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