3u. expand the function, f(a3, a2, a1, a0) = a3a2 (a1’ a0).a3’ to its canonical or standard product-of-sum (pos) and sum-of-product (sop) forms:

Answer:

I'm honestly proud of myself for getting this right, the answer is 123.2

Step-by-step explanation:

14 x 8.8 x 2 divides by 2 and that's your answer pretty self-explanatory and simple

Answer:

\( \boxed{\sf D. \ x^2 + 2} \)

Step-by-step explanation:

\( \sf Simplify \ the \ following: \)

\( \sf \implies (2 {x}^{2} + 2x + 3) - ( {x}^{2} + 2x + 1)\)

\( \sf - ( {x}^{2} + 2x + 1) = - {x}^{2} - 2x - 1 : \)

\( \sf \implies (2 {x}^{2} + 2x + 3) - {x}^{2} - 2x - 1\)

\( \sf Grouping \ like \ terms: \)

\( \sf \implies (2 {x}^{2} - {x}^{2}) + (2x - 2x)+ (3 - 1)\)

\( \sf 2 {x}^{2} - {x}^{2} = {x}^{2} : \)

\( \sf \implies {x}^{2} + (2x - 2x)+ (3 - 1)\)

\( \sf 2x - 2x = 0 : \)

\( \sf \implies {x}^{2} + 0+ (3 - 1)\)

\( \sf 3 - 1 = 2 : \)

\( \sf \implies {x}^{2} +2\)

Answer:

Answer:

$25 for Adam and $75 for Hamza

Step-by-step explanation:

$100 will be divided to 3 + 1 = 4 parts

the dollars Adam received

= $100 × 1/4

= $25

the dollars Hamza received

= $100 × 3/4

= $75

-----------------------------------------------------------

the dollars Hamza give to Adam

= $75 × 25%

= $75 × 25/100

= $18.75

the dollars Adam have

= $25 + $18.75

= $43.75

the dollars Hamza have

= $75 - $18.75

= $56.25

the ratio

= 43.75：56.25

= 7：9

Answer:

124858

Step-by-step explanation:

The first 4 digits are simple, you multiply the first digit of the equation by the 2nd digit and then for the other 2 you multiply the first digit of the equation by the 3rd digit.

6 + 2 + 8

6 * 2 = 12

6 * 8 = 48

Then the last 2 digits are the sum of the products of the 1 and 2 and 1 and 3 and subtract it by the 2

12 + 48 = 60

60 - 2 = 58

Put them together

Answer: The slope is 5/2.  

Step-by-step explanation:

Convert the equation into slope intercept form, ( y=mx+b)  

2y = 5x + 4   Divide each side by 2

y = 5/2x + 2    In this form the slope will be the coefficient of x variable.

The coefficient is the number that comes before x.  

In this case, the slope is 5/2.

Answer:

(x+2)^2 - 6

Step-by-step explanation:

The volume is 1562.4 cm^3

V = (173.6 cm^2)(9cm)

   = 1562.4 cm^3

The required area of the polygons is given as 100 ft², 9 ft², 16 ft², and 64 ft².

Given that,
The dimensions of this polygon are shown in feet (ft). 10ft/3ft/4 ft/8 ft. The area, in square feet, of the polygon is to be determined.

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons etc

Here,
Assumed that all the polygons are square,
The area of the square is given as (side)².
1,
Side = 10 ft
Area of the square = [10 ft]² = 100 ft²

Similarly,
For side 3 areas is 9 ft²,

For side 4 areas is 16 ft²,

For side 8 areas is 64 ft²,

Thus, the required area of the polygons is given as 100 ft², 9 ft², 16 ft², and 64 ft².

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Answer:

QR = 15

Step-by-step explanation:

The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.

(QR+5) *5 = 10^2

(QR+5) *5 = 100

Divide each side by 5.

(QR+5) *5/5 = 100/5

(QR+5)  = 20

Subtract 5 from each side.

QR = 20-5

QR = 15

Answer:

c

Step-by-step explanation:

1  =  3

2         6

Cross multiply:

1 * 6 = 2 * 3

Simplifying

1 * 6 = 2 * 3

Multiply 1 * 6

6 = 2 * 3

Multiply 2 * 3

6 = 6

Add '-6' to each side of the equation.

6 + -6 = 6 + -6

Combine like terms: 6 + -6 = 0

0 = 6 + -6

Combine like terms: 6 + -6 = 0

0 = 0

Solving

0 = 0

Step-by-step explanation:

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator. To do this, you need to find the least common multiple (LCM) of the two denominators.

Answer:

Ellas forman triángulos./Ellos forman triángulos.

They do form triangles.

\(\text{L.H.S}\\\\=\sin^2 \theta \tan \theta + \cos^2 \theta \cot \theta+2\sin \theta \cos \theta \\\\\\=\sin^2 \theta \cdot \dfrac{\sin \theta}{\cos \theta} + \cos^2 \theta \cdot \dfrac{\cos \theta}{\sin \theta} + 2\sin \theta \cos \theta\\\\\\=\dfrac{\sin^3 \theta}{\cos \theta}+ \dfrac{\cos^3 \theta}{\sin \theta}+ 2\sin \theta \cos \theta\\\\\\=\dfrac{\sin^4 \theta + \cos^4 \theta}{\cos \theta \cdot \sin \theta}+ 2\sin \theta \cos \theta\\\\\)

\(=\dfrac{(\sin^2 \theta)^2 + (\cos^2 \theta)^2 }{\cos \theta \sin \theta}+ 2\sin \theta \cos \theta\\\\\\=\dfrac{(\sin^2 \theta + \cos^2 \theta)^2-2\sin^2 \theta \cos^2 \theta}{\cos \theta \sin \theta}+ 2\sin \theta \cos \theta\\\\\\=\dfrac{1-2 \sin^2 \theta \cos^2 \theta}{\cos \theta \sin \theta}+ 2\ sin \theta \cos \theta\\\\\\=\dfrac{1-2\sin^2 \theta \cos^2 \theta+2\sin^2 \theta \cos^2 \theta}{\cos \theta \sin \theta}\\\\=\dfrac 1{\cos \theta \sin \theta}\\\\\)

\(=\dfrac{\sin^2 \theta + \cos^2 \theta}{\sin \theta \cos \theta}\\\\\\=\dfrac{\sin^2 \theta}{\cos \theta \sin \theta}+\dfrac{\cos^2 \theta}{\cos \theta \sin \theta}\\\\\\=\dfrac{\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{\sin \theta}\\\\\\=\tan \theta + \cot \theta\\\\=\text{R.H.S}\\\\\text{Proved.}\)

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

The described sampling method is an example of random sampling.

The sampling method described in the question is known as simple random sampling, which is a common method of selecting a representative sample from a population.

In this method, each member of the population is assigned a unique number, and a certain number of individuals are selected randomly from the population.

Simple random sampling is a type of probability sampling, which means that each member of the population has an equal chance of being selected for the sample.

This is important because it ensures that the sample is representative of the population as a whole, and reduces the risk of sampling bias.

The process of simple random sampling is straightforward and easy to implement, making it a popular choice for researchers. However, it can be time-consuming and may not be practical for very large populations. In such cases, other sampling methods such as stratified sampling or cluster sampling may be more appropriate.

Overall, simple random sampling is a reliable and effective method of selecting a representative sample from a population, and is widely used in research studies and surveys.

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The correct answer to this question is option C: f(x) =\(x^2 - 16x + 64\). This is because the expression \(x^2 - 16x + 64\) can be factored as\((x - 8)^2,\) which represents a parabola that opens upwards and has its vertex at the point (8, 0).

The fact that the vertex is a minimum point can be seen by observing that the coefficient of \(x^2\) is positive, which means that the parabola opens upwards. In addition, the squared term in the expression \((x - 8)^2\)ensures that the function is symmetric around x = 8, which means that the vertex is the lowest point on the curve within some neighborhood of x = 8. Therefore, the function f(x) = \(x^2 - 16x + 64\)has a local minimum at the point (8,0).

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Therefore, the simplified expression is:

(3 - √637) / (49/√237) = (3 - √637) * (√237/49)

To get rid of the irrationality in the denominator of the fraction and simplify the expression, we can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator.

The given expression is:

(3 - √637) / (8/√49 - 1/√237)

Let's rationalize the denominator:

(3 - √637) / (8/√49 - 1/√237) * (√49/√49)

Simplifying the numerator:

(3 - √637)

Simplifying the denominator:

(8√49 - √49)/√237

(8*7 - 7)/√237

(56 - 7)/√237

49/√237

Therefore, the simplified expression is:

(3 - √637) / (49/√237) = (3 - √637) * (√237/49)

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Answer:

Step-by-step explanation:

Total calories in a granola bite= 27

The calories contained are from grams of carbohydrates and other ingredients

One gram of carbohydrate contains 4 calories

The equation 4c + 5 = 27 represents the relationship between these quantities.

1. 5 from the equation represent calories from other ingredients

2. Neither 8 nor 3 is the solution to the equation

4c + 5 = 27

When 8 is the solution

4(8)+5=27

32+5=27

37=27

When 3 is the solution

4(3)+5=27

12+5=27

17=27

Neither 8 nor 3 is the solution to the equation because 8 gives a higher calories in the granola bite and 3 gives a lower calories in the granola bite.

3. Solution to the equation

4c + 5 = 27

4c= 27-5

4c = 22

Divide both sides by 4

c=22/4

=5 2/4

=5 1/2

The solution to the equation is 5 1/2

Answer:

6

Step-by-step explanation:

Hope this helps

Answer:

42 litros

Step-by-step explanation:

63 / 3 = 21

21 * 2 = 42

Answer:

a   4/17

Step-by-step explanation:

if you add them all up, you get 34. 8 out of 34 reduced is 4/17

Answer:

4/17

Step-by-step explanation:

8 black marbles, 12 clear marbles, and 14 blue marbles = 34 marbles

P( black) = number of black/ total

              = 8/34

              =4/17

Answer: £2571.43

Step-by-step explanation:Total ratio=7+3=10

If 7 = £1800 then 10 =10÷7*£1800 =£2571.43

The volume of the soup pot is approximately 429.6 cubic inches.

The volume of a cylinder (like the soup pot) can be calculated using the formula:

V = πr²h

where:

V = volume

π = 3.14159 (approximate value of pi)

r = radius

h = height

Substituting the given values, we get:

V = π*(4²)*(8.5)

V = 3.14159*(16)*(8.5)

V = 429.58124

Rounding to the nearest tenth, the volume of the soup pot is approximately 429.6 cubic inches.

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Answer:

130 is the answer

The end of the long hand of the clock travels about 78.54 inches (25π) in 2 1/2 hours.

Clock can be defined as a machine in which a device that performs regular movements in equal intervals of time is linked to a counting mechanism that records the number of movements

The long hand of the clock completes one full revolution in 12 hours. Therefore, in one hour, it travels a distance equal to the circumference of a circle with a radius of 5 inches, which is given by 2πr = 2π(5) = 10π inches.

In 2 1/2 hours, the long hand of the clock travels a distance equal to (2 1/2) x 10π = 25π inches.

So, the end of the long hand of the clock travels about 78.54 inches (25π) in 2 1/2 hours.

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Answer:

Side a is that side opposite to the hyp and b is the short side and c is the hyp

So a/b is 24/x

we need b

We find b=10

so 24/10 and we simply to 12/5