1. If the height is 12 inches and the diameter
is 16 inches, what is the volume?
h

Answer:

The third answer is correct.

Step-by-step explanation:

You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral.  Then you need the scale factor from the smaller figure to the larger.  

Side EF times the scale factor will give you side AB.  Let's call the scale factor s then our equation would be:

EF x s = AB  To find s divide both sides by EF

\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)

s = \(\frac{AB}{EF}\)  This is our scale factor.

Helping in the name of Jesus.

Answer:

5

Step-by-step explanation:

Did you mean length instead of tenth? If so, 22*2=44, 64-44=20, 20/2=10. The length of the rectangle is 10 so to find the value of x, divide 10 by 2 so, 10/2=5, and x is equal to 5. : )

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

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Answer:

i think 18

Step-by-step explanation:

Answer:

y-int = (0, -6)

Step-by-step explanation:

The y-intercept is the b-value of the equation of the line y = mx+b

To find the y-intercept plug in 0 for the x-value:

y=3(0) - 6

y= -6

-> x = 0, y = -6

Answer:

8640in²

Step-by-step explanation:

A = I * W * H

A= 27*16*20

A=8640in²

Answer:

W= 4x²+9

Step-by-step explanation:

The value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

Given the function \(g (x) = 3x^4 - 8x^3\)

The function is at a maximum at g'(x) = 0

Differentiating the function given:

\(g'(x)= 12x^3-24x^2\\0= 12x^3-24x^2\\ 12x^3-24x^2=0\\12x^2(x-2)=0\\12x^2=0 \ and \ x - 2 = 0\\x = 0 \ and\ 2 \\)

Substitute x = 0 and x = 2 into the function;

g(0) = 3(0)^3 - 8(0)^3

g(0) = 0

Since the range of the function is least at x = 0, hence the value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

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Answer:

B. h(x) = -3x + 4.

Step-by-step explanation:

I am assuming that the vertical shift is upwards,

A refection in the x axis gives -3x

Vertical shift upwards of 4 gives -3x + 4.

Answer:

2/3

Step-by-step explanation:

You arrived at 1:00 and longer than 10 minutes would be at 1:20 and 1:30

that is 2 chances of you waiting longer than 10 minute

Answer:

x-5

x-2

Step-by-step explanation:

Questions 1:

√(x²-10x+25)

x²-10x+25= (x-5)²

√(x-5)²= x-5

question 2:

x²-4x+4= (x-2)²

√(x-2)²= x-2

Answer:

B

Step-by-step explanation:

Answer:

Is this slope or do you want me to solve x and y

Step-by-step explanation:

In the context of property variance, a variance refers to a legal authorization or exception granted to a property owner by the local governing authority. It allows the property owner to deviate from specific zoning regulations or land-use restrictions that would otherwise apply to their property.

The variance process is used when property owners believe that strict adherence to the existing regulations would cause undue hardship or prevent them from fully utilizing their property in a way that is reasonable and consistent with neighboring properties.

The purpose of property variances is to address unique circumstances or hardships that may exist for a particular property. Property variances typically involve submitting an application to the local zoning board or planning department, attending public hearings, and providing evidence or arguments to support the need for the variance.

The governing authority evaluates the application based on factors such as the impact on neighboring properties, public health and safety, and the intent of the zoning regulations. If approved, the property owner is granted permission to proceed with the proposed deviation from the regulations.

Overall, property variances provide flexibility in land-use regulations, allowing property owners to find reasonable solutions that meet their specific needs while still considering the broader community interests and objectives of zoning regulations.

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The direct method of Lyapunov is a technique used in the analysis of the stability of a dynamical system. It involves the use of a Lyapunov function to determine whether a system is stable or not.

A Lyapunov function is a scalar function V(x) that is defined on the state space of a dynamical system, where x is the state of the system. The function is chosen such that it is positive definite, i.e., V(x) > 0 for all x except possibly at the origin, where V(x) = 0. The time derivative of the Lyapunov function along the trajectories of the system, denoted by V'(x), is also chosen to be negative definite or negative semi-definite, i.e., V'(x) < 0 or V'(x) ≤ 0 for all x except possibly at the origin.

The direct method of Lyapunov uses this Lyapunov function to determine the stability of the system. If a Lyapunov function can be found that satisfies the above conditions, then the system is said to be stable or asymptotically stable, depending on whether V'(x) is negative definite or negative semi-definite, respectively. If a Lyapunov function cannot be found, then the stability of the system cannot be determined using this method.

In addition to determining stability, the direct method of Lyapunov can also be used to determine instability. If a Lyapunov function can be found that satisfies the above conditions, but with V'(x) positive definite or positive semi-definite instead of negative definite or negative semi-definite, respectively, then the system is unstable.

Overall, the direct method of Lyapunov provides a powerful tool for analyzing the stability of a wide range of dynamical systems, including linear and nonlinear systems, time-invariant and time-varying systems, and continuous and discrete-time systems.

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Answer:

35 and 37

Step-by-step explanation:

hope it helps :)))

Answer:

35+37

Step-by-step explanation:

Basic odd numbers go as shown

1,3,5,7,9,11....

Let the first number be x and the second number be x + 2

x+ (x+2) =72

2x+2=72

2x=72-2

2x=70

x=70/2

x=35

Add 2 to find the other number or simply subtract 35 from 70

Anyway this gives you 37

Making your 2 answers 35 and 37

Answer:

1 week

Step-by-step explanation:

After 1 week

Saving account: $25 + $5 = $30

Checking amount: $50 + $10 = $60

30 x 2 = 60

So it's 1 week

Answer:

b. ab + c = d b = a + c/d b = a/(c - d) b = (d - c)/a

Step-by-step explanation:

Answer:

B.) cylinder

Step-by-step explanation:

2 circles on either side and a rectangle between them

Step-by-step explanation:

find the area of each square or rectangle

l*w

4 rectangles=4×(3×6)=72

2 squares=2×(3×3)=18

72+18=90cm^2

Answer:

the exponent is four

2x2x2x2 is 16

Answer:

f(x)=(6x+6)(x+10)

Explanation:

Given the quadratic expression:

First, we can rewrite it in the form below:

Next, factor the terms:

Thus, the quadratics as a product of two binomials is:

Answer:

88,959

Step-by-step explanation:

it's subtraction. I got the answer

Answer:

88,959

Step-by-step explanation:

Clearly, we do the ones place first, and so..

054

-

095 =

We borrow from 5 which turns into 4 and 4 turns into 14.

14 - 5 = 9

So our first number is 9!

= __9

We borrow from the thousands, 3 becomes 2 and 0 becomes 10!

We can't subtract 4 from 9 so we borrow from 10, 10 becomes 9 and 4 becomes 14.

14 - 9 = 5

( Now i'm getting lazy so I will just show the steps without as many words )

9 - 0 = 9

~~~~~~~~~~~~~~~

054 - 095 = 959

! Hundreds place !

( 3 is now a 2 since we borrowed from 3)

272

-

184 =

( Borrowed from 7 to make 12 so 7 is now 6 )

12 - 4 = 8

~~~~~~~~~~~~~~~

(We need to borrow from the first 2 in 272 to make 16 from when we borrowed from 7 )

16 - 8 = 8

~~~~~~~~~~~~~~~

(2 was borrowed so it's now 1 )

1 - 1 = 0

~~~~~~~~~~

And we get 088,959

Remove the 0 and we have 88,959

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

I hope this helps you!

      ~~ Livv

Answer:

a) 12

b) 13

Step-by-step explanation:

f(x) = x^2 + 3

g(x) = 2x - 1

a) f(g(2)) = ?

g(2) = 2(2) - 1

= 4 - 1

= 3

f(g(2)) = f(3) = 3^2 + 3

= 9 + 3

= 12

b) g(f(2)) = ?

f(2) = 2^2 + 3

= 4 + 3

= 7

g(f(2)) = g(7) = 2(7) - 1

= 14 - 1

= 13

Answer: 100

hope this helps

Answer:

0.54

Step-by-step explanation:

sin 105 / 2 = sin 15 / b

b = sin 15 / 0.48296

b = 0.54

The true equation is given by 6/3 = 4/a.

Scale is the ratio to represent the relation between the dimensions of a model or scaled figure and the corresponding dimensions of the actual figure or an object. Scale factor, on the other hand, is a number by which all the components of an object are multiplied in order to create an enlarged or reduced figure. Scale and scale factor are mostly used in blueprints that are used for the construction of buildings. The scale factor can be calculated if the dimensions of the original figure and the dimensions of the increased or decreased figures are known.

Scale = Dimensions of the new shape : Dimensions of the original shape

Scale Factor = Dimensions of the new shape Dimensions of the original shape

From the figure attached, Figure f is a scaled copy of Figure e.

AB/XY = CD / WZ

6/4 = 3 / a

6/3 = 4/a

Thus, the true equation is given by 6/3 = 4/a.

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Using the definition of the integral given in the theorem, the value of the integral 5 to 1 of (x² - 4x + 8) dx is found to be equal to approximately 83.33.

The integral can be evaluated using the fundamental theorem of calculus, which states that the definite integral of a function can be found by evaluating its antiderivative at the limits of integration.

The antiderivative of (x² − 4x + 8) is (1/3)x³ - 2x² + 8x, so evaluating at the limits of integration 5 and 1 gives

(1/3)(5³) - 2(5²) + 8(5) - [(1/3)(1³) - 2(1²) + 8(1)]

= (125/3) - 50 + 40 - (1/3) + 2 - 8

= 83.33

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The function has a maximum value of 30 at x = 3.

Given Function:

f(x) = -3+18x+3

here a = -3 , b = 18 , c = 3

a is negative so it has maximum value

x = -b/2a

= -18/2*(-3)

= -18/-6

= 18/6

= 3

f(x) = -3* + 18*3 + 3

= -3*9+54+3

= -27+54+3

= 27+3

= 30

Therefore the function has a maximum value of 30 at x = 3.

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