Use the Law of Syllogism to write new conditional statement, if
possible. "If a book is more than 200 pages, I will not read it. A book
is 210 pages."

The scientific notation of the given 0.000001 liters and 0.001 liters is written as 1 x 10⁻⁶ and  1 x 10⁻³ respectively.

One microliters is equivalent to 0.000001 liters

Conversion of 0.000001 liters in scientific notation is written as,

Standard form of scientific notation is equal to,

Scientific Notation is to expressed the given number from 1 to less than 10 and then multiplied by a power of 10 also move the decimal point accordingly.

a × 10ᵇ

0.000001 in scientific notation is equivalent to 1 x 10⁻⁶

One thousand microliters is equivalent to 0.001 liters.

Conversion of 0.001 liters in scientific notation is written as,

0.001 in scientific notation is 1 x 10⁻³.

Therefore, the scientific notation to represents the 0.000001 liters and 0.001 liters is equal to 1 x 10⁻⁶ and  1 x 10⁻³ respectively.

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The above question is incomplete, the complete question is:

A pipette is a laboratory instrument that is used to transport a measured volume of liquid. A pipette that dispenses between 1 and 1000 microliters is called a micropipette.

a. A  microliters is equivalent to 0.000001 liters. Write 0.000001  in scientific notation.

b. One thousand microliters is equivalent to 0.001 liters. Write 0.001  in scientific notation.

Parameters are the values that are computed from a complete census, which are considered to be precise and valid measures of the population. So, option(b) is right one.

In statistics, a population parameter is a number that identifies an entire group of people or population. This should not be confused with arguments in other forms of mathematics that refer to values that remain constant for a mathematical function. Note that the population parameter is not a statistic, it refers to data for a sample or group of the population. With good research, we can get statistics that accurately estimate the population. Statistics is a numerical measure described with sample data. Therefore, the parameter is a numerical description of the characteristic of population.

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Complete question:

Values that are computed from a complete census, which are considered to be precise and valid measures of the population, are referred to as:

a) statistic

b) parameters

Answer:

-1/2 or \(-\frac{1}{2}\)

Step-by-step explanation:

to find the slope, use the formula

(y₁ - y₂)/(x₁ - x₂)

(2 - -3)/(-4 - 6)

(2 + 3)/(- 4 - 6)

5/-10

1/-2

-1/2

Step-by-step explanation:

22 mi / gal  *  1/3.7854 L/gal  *  1.6093 km /mi = 9.353 km / L

Answer:

19

Step-by-step explanation:

133 divided by 7 = 19

area of a parallelogram is just L x W so just divide to get the base.

Answer:

42

Step-by-step explanation:

The product of 6 multiplied by 7 is 42.

We have to find the value of 6×7.

To find the product of 6 multiplied by 7, you simply multiply the two numbers together.

6 multiplied by 7 can be calculated as:

6 x 7

When six is multiplied with seven we get forty two.

= 42

Therefore, the product of 6 multiplied by 7 is 42.

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To find sin(2x), cos(2x), and tan(2x), we can use the double angle formulas:

sin(2x) = 2sin(x)cos(x)
cos(2x) = cos^2(x) - sin^2(x)
tan(2x) = 2tan(x) / (1 - tan^2(x))

We know that sin(x) = 3/5 and x is in Quadrant I, which means that cos(x) = sqrt(1 - sin^2(x)) = sqrt(1 - 9/25) = 4/5.

Now we can plug in sin(x) and cos(x) into the double angle formulas to find sin(2x), cos(2x), and tan(2x):

sin(2x) = 2sin(x)cos(x) = 2(3/5)(4/5) = 24/25

cos(2x) = cos^2(x) - sin^2(x) = (4/5)^2 - (3/5)^2 = 16/25 - 9/25 = 7/25

tan(2x) = 2tan(x) / (1 - tan^2(x)) = 2(3/4) / (1 - (3/4)^2) = 6/7

Therefore, sin(2x) = 24/25, cos(2x) = 7/25, and tan(2x) = 6/7.

Based on the given information, Sin(x) = 3/5 and x is in Quadrant I. We can find sin(2x), cos(2x), and tan(2x) using the double-angle trigonometric identities:

1. sin(2x) = 2sin(x)cos(x)
To find cos(x), we use the Pythagorean identity: sin²(x) + cos²(x) = 1
(3/5)² + cos²(x) = 1
cos²(x) = 1 - 9/25 = 16/25
cos(x) = √(16/25) = 4/5 (since x is in Quadrant I)

Now, sin(2x) = 2(3/5)(4/5) = 24/25

2. cos(2x) = cos²(x) - sin²(x)
cos(2x) = (4/5)² - (3/5)² = 16/25 - 9/25 = 7/25

3. tan(2x) = sin(2x) / cos(2x)
tan(2x) = (24/25) / (7/25) = 24/7

So, sin(2x) = 24/25, cos(2x) = 7/25, and tan(2x) = 24/7.

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The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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Yes, single-parent families tend to be more impoverished than families with two parents.  the findings suggest that family structure is an important factor in understanding the prevalence of poverty in a given population.

The study of the sample of 35 one-parent and 65 two-parent families found that a significantly higher percentage of single-parent families fell below the poverty level compared to two-parent families. This result is consistent with previous research that has shown that single-parent families, particularly those headed by women, are at a greater risk of poverty due to the challenges of raising children alone and the lack of dual incomes. Additionally, single-parent families often face more barriers to obtaining education and employment opportunities that could increase their income. Overall, the findings suggest that family structure is an important factor in understanding the prevalence of poverty in a given population.

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Answer:

20

Step-by-step explanation:

This triangle can be solved using the Pythagorean theorem. 16^2+12^2=x^2. 16^2+12^2=400. If we set 400 equal to x^2, x=20.

Answer:

(1,-1)

Step-by-step explanation:

-2x-1 = x+2

-3x = 3

x = -1

substitute

y = (-1) + 2

y = 1

point: (1,-1)

Answer:

Step-by-step explanation:

1000*PI*4/3

4000/3*PI

1333.3 (3 REPEATING)*PI

4186.6 (6 REPEATING)

BRAINLIEST PLSSSSSSSSSSSSS

Answer:

4186.67

Step-by-step explanation:

volume of sphere = 4πr³/3

4 × 3.14 × 10 × 10 × 10 ÷ 3 = 4186.67cm³

Answer:

<S= 88degrees

<Q = <R = 46degrees

Step-by-step explanation:

Since the base angles of the isosceles triangle are equal hence;

<Q = <R

5x - 14 = 4x -2

5x - 4x  = -2 +1 4

x = -2 + 14

x = 12

Since <Q = 5x - 14

<Q = 5(12) - 14

<Q = 60 - 14

<Q = 46degrees

Also <Q = <R = 46degrees

Similarly; <S + <Q + <R =180

<S +46 + 46 = 180

<+92 = 180

<S = 180 - 92

<S= 88degrees

Answer:

x^2-15+26

Step-by-step explanation:

(x-13)(x-2)=x^2-2x-13x+26=x^2-15+26

Hope this helps! Please mark brainliest :)

Answer:

see explanation

Step-by-step explanation:

(a)

calculate the lengths using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = J (- 3, - 7 ) and (x₂, y₂ ) = K (3, - 8 )

JK = \(\sqrt{(3-(-3))^2+(-8-(-7))^2}\)

    = \(\sqrt{(3+3)^2+(-8+7)^2}\)

    = \(\sqrt{6^2+(-1)^2}\)

    = \(\sqrt{36+1}\)

    = \(\sqrt{37}\)

repeat with (x₁, y₁ ) = M (8, 3 ) and (x₂, y₂ ) = N (7, - 3 )

MN = \(\sqrt{(7-8)^2+(-3-3)^2}\)

      = \(\sqrt{(-1)^2+(-6)^2}\)

     = \(\sqrt{1+36}\)

     = \(\sqrt{37}\)

repeat with (x₁, y₁ ) = P (- 8, 1 ) and (x₂, y₂ ) = Q (- 2, 2 )

PQ = \(\sqrt{-2-(-8))^2+(2-1)^2}\)

      = \(\sqrt{(-2+8)^2+1^2}\)

      = \(\sqrt{6^2+1}\)

      = \(\sqrt{36+1}\)

      = \(\sqrt{37}\)

(b)

JK ≅ MN ← true

JK ≅ PQ ← true

MN ≅ PQ ← true

Answer:

13.6

Step-by-step explanation:

Since it is asking for 1 decimal place, we assume that it is the tenths decimal place. Since the hundredths decimal place is ≥5, we round up to 6.

There is no such thing as ones in decimals, so I am assuming you mean tenths. If you were to round this to the tenths place, the answer would be 13.6.

13.555 → 13.6 (4 and below, leave it alone. 5 and up, round it up)\

Hope this helps!

Answer:

v= 5/3

Step-by-step explanation:

Line the numbers

Answer:

130 meters squared

Step-by-step explanation:

14-6=8

8*13/2=52

14*13=182

182-52=130 meters

Answer:

130 square metres

Step-by-step explanation:

The shaded area is a trapezium.

Therefore, the rule for its area is base1+base2/2xh

base1=6

base2=14

height = 13

Therefore, 6+14/2 x 13

= 130

Hope that helped!!! k

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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The roots of the equation x^2 + 5x - 6 are 1.5 and -3.5.

The roots of the quadratic equation x^2 + 5x - 6 are the values of x that make the equation equal to zero.

To find the roots of this equation, you can use the quadratic formula, which is a formula that allows you to solve any quadratic equation of the form ax^2 + bx + c = 0. The quadratic formula is: x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, the coefficients a, b, and c are 1, 5, and -6, respectively, so the roots of the equation can be found by substituting these values into the quadratic formula: x = (-5 +/- sqrt(5^2 - 4 * 1 * (-6))) / (2 * 1)

This simplifies to: x = (-5 +/- sqrt(25 + 24)) / 2

Which further simplifies to: x = (-5 +/- sqrt(49)) / 2

So the roots of the equation x^2 + 5x - 6 are: x = (-5 + sqrt(49)) / 2 = (sqrt(49) - 5) / 2 = 1.5

x = (-5 - sqrt(49)) / 2 = (-sqrt(49) - 5) / 2 = -3.5

Therefore, the roots of the equation x^2 + 5x - 6 are 1.5 and -3.5.

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The value of the derivatives of f df(x, y, z)/dx + df(x, y, z)/dy is 20, when x = 1, y = 1, and z = 1.

To determine df/dt using the chain rule, we need to compute the partial derivatives of f with respect to x, y, and z, as the derivatives of x(t), y(t), and z(t) with respect to t.

We are given that the function as f (x, y, z)= 3x² + xyz + 4y³ z²

To Find df(x, y, z)/dx + df(x, y, z)/dy when x = 1, y = 1, and z = 1.

f (x, y, z)= 3x² + xyz + 4y³ z²

Therefore,

df(x, y, z)/dx = 6x + yz

df(x, y, z)/dy = xz + 12y² z²

Now we have;

df(x, y, z)/dx + df(x, y, z)/dy

6x + yz + xz + 12y² z²

When x = 1, y = 1, and z = 1 then we get;

6 + 1 + 1 + 12

= 20

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Answer:

it is

Step-by-step explanation:

Answer:

b is a function like the guy said above me hes right.

Step-by-step explanation:

Answer:

X = 12.645 round to 12.7

Step-by-step explanation:

∆LMN ~ ∆OPQ

so the coresponding side ratio are proportional

LM/OP = LN/OQ

LM/OP = LN/OQ49/OP = 31/8 ... the u solve x

X = 12.645 round to 12.7

Answer:

the answer for the first is the second one

and the answer for the second is 9>6

Step-by-step explanation:

9 is greater than (>) six

and when plotted you can see that 9 is to the right of -6

hope i helped!

Answer:

Please find attached the completed number line.

9 is a positive number.  Start at zero and count 9 increments to the right.

-6 is a negative number.  Start at zero and count 6 increments to the left.

(a) 9 is located to the right of -6

(b) 9 > -6

Answer:

I think 1/2 is the ans

Step-by-step explanation:

quadratic function equation

would help

Answer:

the perimeter equals 88 inches

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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        Hence, The Value of:  a^2   +   b^2   is  18

        b  =  1/a  =  1/ 2 + √5

        b  =  1/2 + √5  *   2 - √5/2 - √5

            =     2  - √5/1

        b  =  2  -  √5

       a^2    =  (2  +  √5)^2    =  4  +  4√5  +  5

       b^2    =  (2   -  √5)^2    =  4   -  4√5  +   5

        a^2   +  b^2   =   4  +  4√5  +  5  +  4  -  4√5  +  5

                              =   18  -  3√5

        4    +  5     +  4  +  5

        9    +   4     +   5

       13   +   5   =   18

        a^2  +  b^2       =   18                

        a^2  =  18   -  b^2

        a  =  ± √18  -  b^2

        a  =  √18     -  b^2

        a   =  -√18   -  b^2

        Hence, The Value of:  a^2   +   b^2   is  18

I hope this helps you!