Which of the following is irrational?
\sqrt(2)

\sqrt(1.44)

\sqrt(1)

\sqrt(4)

Answer:

C:0.24

Step-by-step explanation:

Answer:

11x-2

Step-by-step explanation:

(3x2 - 4x + 6) + (7x - 2) This is the breakdown. (6 4x + 6)= 4x. + (7x-2) = 11x-2

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Step-by-step explanation:

2.5 km = 250000 cm

250000 cm /20000 = 12.5 cm on the map

12.5 cm ^2  x 20 0000 x 20 000   = 5 000 000 000 cm^2 = 500 000 m^2  

Answer:

27

Step-by-step explanation:

Answer:

1. 57/16 or 3.5625 ounces of water

8 : 4.75

1 : 19/32  -----> divide both by 8

19/32x6=57/16 = 3.56 ounces

2. 2.4375 ounces of other ingredients

6-3.5625=2.4375

The equation that could be used to determine L, the unknown side length of the logo is A = 3.4L

From the question, we have the following parameters:

Represent the maximum area of the logo with A.

The area (A) of the rectangular logo is calculated using:

A = L * W

Substitute 3.4 for L

A = 3.4L

Hence, the equation that could be used to determine L, the unknown side length of the logo is A = 3.4L

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Answer: it’s a triangle

Step-by-step explanation:

Answer:

triangle

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

8000000000000

9

0

9

Answer:

$460

Step-by-step explanation:

Because if you put 23% over 100 and multiply it by 20,000 you should get that

Answer:

y=5x+19

Step-by-step explanation:

y+1=-5(x+4)

y+1=-5x-20

Subtract 1 (like terms)

y=-5x-21

The time taken for the trip will be 12.7 hours.

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

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Answer:

223.34 m/s

Step-by-step explanation:

Given :

Travel time = 11 :23 pm to 1:00 a. M = 1 hour 37 minutes = (60 + 37) = 97 minutes = (97 * 60) = 5820 seconds

Distance between Seattle and San Francisco is

807.7 miles (culled from the internet)

807.7 miles = 1299867.1 meters

Average speed = Distance covered / Time taken

Average speed = 1299867.1 m / 5820 s

Average speed = 223.34486

Average speed = 223.34 m/s

The value of x in the triangle ABC is 25.

The interior angles of the triangle are given as m∠A = 3x and m∠B = 50°.

The exterior angle of the triangle is given as m∠ACD = 5x.  

The sum of angle in a triangle is equals to 180 degrees. Therefore,

3x + 50 + (180 - 5x)  = 180

3x + 50 - 5x + 180 = 180

3x - 5x + 50 + 180 = 180

-2x + 230 = 180

subtract 230 from both sides

-2x + 230 - 230 = 180 - 230

-2x = -50

divide both sidesby -2

-2x / -2 = -50 / -2

x = 25

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Answer:

Step-by-step explanation:

d = 13.416408

For:

(X1, Y1) = (-4, -5)

(X2, Y2) = (8, 1)

Answer:

L = 9.49 units

Step-by-step explanation:

From the 1st point to the 2nd, x changes by 12; from the 1st to the 2nd, y changes (increases) by 6.  These results (12 and 6) represent the leg length of a right triangle whose diagonal length we wish to calculate using the Pythagorean Theorem:

12^2 = 144 and 6^2 = 36.

Combining these results in the length of the diagonal:

L = √(144 + 36) = √180 = 13.42 units using the Pythagorean Theorem

Rounding off, we get L = 9.49 units

Answer:

1.666666667

Step-by-step explanation:

1/3 of 20 is 6.66666667

5-6.66666667 is -1.666666667

hope this helps :)

Answer:

≈1.7

Step-by-step explanation:

1/3(20)-5

≈6.7-5

≈1.7

Answer:

  25 yards long, 5 yards wide

Step-by-step explanation:

The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.

The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating these two variables:

  A = LW   ⇒   125 = xy

  P = 2(L+W)   ⇒ 60 = 2(x +y)

Using the second equation to write an expression for y, we have ...

  y = 30 -x

Substituting into the first equation gives ...

  125 = x(30 -x)

This suggests we can find x by looking for factors of 125 that total 30.

  125 = 1(125) = 5(25)

Factor totals are 126 and 30. This means we have ...

  x = 5, y = 30-5 = 25

or

  x = 25, y = 30 -25 = 5

The rectangle dimensions are 5 yards by 25 yards.

__

Additional comment

The two equations can also be solved graphically, as in the attachment.

The rectangle will be 25 yards long, and 5 yards wide.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.

The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating to these two variables:

 A = LW   ⇒   125 = xy

 P = 2(L+W)   ⇒ 60 = 2(x +y)

Using the second equation to write an expression for y, we have ...

y = 30 -x

Substituting into the first equation gives ...

125 = x(30 -x)

This suggests we can find x by looking for factors of 125 that total 30.

125 = 1(125) = 5(25)

Factor totals are 126 and 30. This means we have.

x = 5, y = 30-5 = 25

x = 25, y = 30 -25 = 5

Therefore, the rectangle will be 25 yards long, and 5 yards wide.

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Answer:

The absolute maximum value of f on [-2, 4] occurs at x = 4.

Step-by-step explanation:

We know that the absolute maximum value of f(x) on this interval will occur at either a critical point or an endpoint. The critical points are any point where f'(x) is either equal to zero or not defined. Since f is a polynomial, f'(x) = 3x^2 - 6x is always defined, but is equal to zero at x = 0 and x = 2. We can check the value of f(x) at each critical point and endpoint:

f(-2) = -8

f(0) = 12

f(2) = 8

f(4) = 28

Therefore, f has an absolute maximum value of 28 on the closed interval [-2, 4], which occurs when x = 4.

Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.

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The values of m and n are m = 123,000 and n = (123,000 - m1) / 2 + 1.

The given number is 123,000 which is the mth number in the nth row.

The rows contain two more numbers than the previous row.

Let us assume that the first row has m1 numbers.

Therefore, the second row has m1 + 2 numbers, the third row has m1 + 4 numbers, and so on.

We can represent the above information in a general formula as;

m1 + 2 (n - 1) = m

where m1 is the number of elements in the first row and n is the row number in which 123,000 is present.

By solving the above equation, we get

m1 = m - 2 (n - 1)

Now, we can calculate the value of n as;

n = (m - m1) / 2 + 1

Substituting the values of m and m1, we get

n = (123,000 - m1) / 2 + 1

Therefore, the values of m and n are m = 123,000 and n = (123,000 - m1) / 2 + 1.

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Answer:

Where are the choices? There is no choices

the polynomial function with the stated properties is:

f(x) = (11/40)x³ - (33/20)x² - (33/10)x + 55

what is  polynomial function ?

A polynomial function is a type of mathematical function that can be expressed as a sum of powers of a variable, multiplied by coefficients. The variable in a polynomial function is usually denoted by x, and the highest power of x that appears in the function is known as the degree of the polynomial.

In the given question,

A polynomial function of degree 3 with zeros of -4, -2, and 5 can be expressed in factored form as:

f(x) = a(x + 4)(x + 2)(x - 5)

where a is a constant coefficient that we need to determine, and (x + 4), (x + 2), and (x - 5) are the factors corresponding to the zeros -4, -2, and 5, respectively.

To find the value of the constant coefficient a, we can use the y-intercept of the function, which is given as -11. The y-intercept occurs when x = 0, so we can substitute x = 0 into the factored form of the function and set it equal to -11:

f(0) = a(0 + 4)(0 + 2)(0 - 5) = -11

Simplifying and solving for a, we get:

a = -11 / (42(-5)) = 11/40

Substituting this value of a back into the factored form of the function, we get:

f(x) = (11/40)(x + 4)(x + 2)(x - 5)

Expanding this expression, we get:

f(x) = (11/40)x³ - (33/20)x² - (33/10)x + 55

Therefore, the polynomial function with the stated properties is:

f(x) = (11/40)x³ - (33/20)x² - (33/10)x + 55

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The group of restrictions used to simulate the issue includes

The issue includes the following information.

The limitations for modeling the problem are as follows: The gap between the number of hours Savanah has reserved and those that John has is no more than five times.

Savanah will provide child care for a minimum of 40 hours, but no longer than that, indicating that it is less than; as a result.

,y<5x

Meaning "at least 40 hours" is "at least 40 hours." 40 hours or more may be expressed as

y ≥ 40 hours

The two necessary restrictions are represented as y< 5x and y=> 40 hours in an inequality model.

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The equation of remaining chocolate C  in terms of t is C = 30 - 3t.

A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.

Given that,

Initial number of chocolates in box = 30

Also given that after 8 nights, number of remaining chocolates = 6

Implies that,

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written as

C = 30 - 3t.

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Answer:

The margin of error is  \(E = 0.4606 \)      

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 100

    The sample mean is  \(\= x = 12.5 \ years\)

    The standard deviation is  \(\sigma = 2.8 \ years\)

From the question we are told the confidence level is  90% , hence the level of significance is    

      \(\alpha = (100 - 90 ) \%\)

=>   \(\alpha = 0.10\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.645\)

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>   \(E =1.645*  \frac{ 2.8 }{\sqrt{100} }\)

=>   \(E = 0.4606 \)      

Answer:

a) the average value of e' over the time interval is [\(e^{54}\) - 1] / 54

b) the value of t is 50.0111

Step-by-step explanation:

Given that;

time interval 0 < t < 54

let y = f(x)

average value of f(x) [a,b]

Av = 1/b-a  \(\int\limits^b_a f({x}) \, dx\)

so we substitute

Av = 1/(54-0) ⁵⁴∫₀ \(e^{t}\) dx

= 1/54 [\(e^{t}\)]₀⁵⁴ dx

=  1/54 [\(e^{54}\) - \(e^{0}\) ]

= 1/54 [\(e^{54}\) - 1 ]

= [\(e^{54}\) - 1] / 54

Therefore, the average value of e' over the time interval is [\(e^{54}\) - 1] / 54

b)

given that; \(e^{t}\) = [\(e^{54}\) - 1] / 54

we apply natural logarithm (ln) on both RHS and LHS

ln (\(e^{t}\)) = ln ([\(e^{54}\) - 1] / 54)

t( ln(e) =  ln [\(e^{54}\) - 1] - ln (54)

t(1) = (54 - 0) - 3.9889

t = 54 - 3.9889

t = 50.0111

Therefore, the value of t is 50.0111

The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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From the properties of the circle we know that:

This comes from the fact that If two secants are drawn to a circle from one exterior point, then the product of the external segment and the total length of each secant are equal. In this case this means that:

Now that we know the value of x we plug it in the expression for EF:

Therefore segment EF is equal to 24.

Answer:

20%

a) a train goes 60 mph for 180 miles

50 miles

Step-by-step explanation:

6/30=.20 = 20%

180 miles divided by 60 mph=3 hours

80%x = 40 miles

.8x=40

.8x/.8=40/.8

x=50 miles