Expand the expression 4(x - 3)

Answer:

0.4 or 0.40 or 0.400

Step-by-step explanation:

I am not sure what they are asking, but 4/10 is the same as 40%, which is the same as 0.4 or 0.40 or 0.400

Step-by-step explanation:

0.00046 kiloseconds =46CS

4096 MB=4.000002 GB

Answer:

75,000km  (kilometres)  converted from given 0.075 giga meters  gm

gm to km multiplies by 1 million

46 cs (centisecond) converted from given  0.00046 kilo second ks

ks x cs multiplies by 100,000

4.096 GB (Gigabyte)  converted from given 4096 Mega Byte MB

MB to GB divides by 1000

KB to GB divides by 1000

GB to MB multiplies by 1000

MB to KB multiplies by 1000  so that GB, MB, KB are all 1000 x each other.

0.0000002 mg (milligram) converted from 0.0002 Microgram ug

ug  microgram to mg milligram divides by 1000

Explanation of cs : seconds. siemens.

Language useful fact to know is the German name of kiloseconds and centiseconds is kilosiemens and centisiemens.

Which means Siemens means seconds.

The siemens (symbol: S) is the derived unit of electric conductance, electric susceptance, and electric admittance in the International System of Units (SI). Conductance, susceptance, and admittance are the reciprocals of resistance, reactance, and impedance respectively; hence one siemens is redundantly equal to the reciprocal of one ohm (Ω−1) and is also referred to as the mho. The 14th General Conference on Weights and Measures approved the addition of the siemens as a derived unit in 1971.[1]

The unit is named after Ernst Werner von Siemens. In English, the same word siemens is used both for the singular and plural

The unit siemens for the conductance G is defined by

{\displaystyle \mathrm {[S]} =[\Omega ^{-1}]=[\mathrm {A} /\mathrm {V} ]}{\displaystyle \mathrm {[S]} =[\Omega ^{-1}]=[\mathrm {A} /\mathrm {V} ]}

where Ω is the ohm, A is the ampere, and V is the volt.

For a device with a conductance of one siemens, the electric current through the device will increase by one ampere for every increase of one volt of electric potential difference across the device.

The conductance of a resistor with a resistance of five ohms, for example, is (5 Ω)−1, which is equal to 200 mS.

Another name for the siemens is the mho (/ˈmoʊ/). As the reciprocal of one ohm, it is the word ohm spelled backwards, at the suggestion of Sir William Thomson (Lord Kelvin) in 1883.[3] Its symbol is an inverted capital Greek letter omega: U+2127 ℧ INVERTED OHM SIGN.

NIST's Guide for the Use of the International System of Units (SI) refers to the mho as an "unaccepted special name for an SI unit", and indicates that it should be strictly avoided.[4]

The SI term siemens is used universally in science and often in electrical applications, while mho is still used in some electronic contexts.

The inverted capital omega symbol (℧), while not an official SI abbreviation, is less likely to be confused with a variable than the letter 'S' when writing on a blackboard or doing algebraic calculations by hand. The usual typographical distinctions (such as italic for variables and roman for units) are difficult to maintain. Likewise, it is difficult to distinguish the symbol 'S' (siemens) from the lower-case 's' (seconds), potentially causing confusion.[5] So, for example, a pentode’s transconductance of 2.2 mS might alternatively be written as 2.2 m℧ or 2200 μ℧ (most common in the 1930s) or 2.2 mA/V.

A handwritten 'S' can also be misread as the frequency-space variable 's', commonly used in transfer functions.

The ohm had officially replaced the old "siemens unit", a unit of resistance, at an international conference in 1881.[6]

Answer:

5

Step-by-step explanation:

Substituting x=2 into -2x is 2(-2)=-4; as for y=6, 3y=3(6)=18. Substituting into the equation gives -4+18-9=18-13=5

Answer:

x = 171.16 - 5.8

x = 165.36

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Step-by-step explanation:

Answer:

165.36 is Pete's height

Step-by-step explanation

You have to subtract 5.8 by 171.16 and that will be Pete's height.

Answer:

Step-by-step explanation:

y=-x+2 equation 1

y=3x-2 equation 2

sub equation 1 into 2

-x+2=3x-2

-x+2-3x+2 =0 (bring everything to one side and to equal 0)

-4x+4=0 (collect like terms and go with the sign given)

-4x=-4 (bring 4 over to the other side to isolate)

-4x/-4=-4/-4 (divide to isolate)

x=1

y=-3x+3 equation 1

2x+y=1 equation 2

y=-2x-1 Rearrage equation 2 (now equation 3)

sub equation 1 into 3

-3x+3=-2x-1

-3x+3+2x+1 =0 (bring everything to one side and to equal 0)

-x+4=0 (collect like terms and go with the sign given)

-x=-4 (bring 4 over to the other side to isolate)

Answer:

Does the answer help you?

please mark this question as brainliest answer.Cause it take a few mins to solve your question.Tq

Answer:

\(\displaystyle A = 7\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Pre-Calculus

Calculus

Integrals - Area under the curve

Area of a Curve Formula:                                                                                     \(\displaystyle A = \int\limits^b_a {f(x)} \, dx\)

Integration Rule [Reverse Power Rule]:                                                               \(\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C\)

Integration Property [Multiplied Constant]:                                                         \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)

Integration Rule [Fundamental Theorem of Calculus 1]:                                     \(\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)\)

Step-by-step explanation:

*Note:

The area under the curve is essentially the definition of an integral.

Step 1: Define

Parametric

x = t

y = 3t²

1 ≤ t ≤ 2

Step 2: Rewrite

Rewrite parametric to rectangular form and change bounds of integration.

Step 3: Find Area

Integration.

Topic: AP Calculus AB/BC

Unit: Area under the curve

Book: College Calculus 10e

Answer:

3236

Step-by-step explanation:

4+3=7

7u-> 5663

1u->809

4u->3236

Answer:

The answer is 10.

Step-by-step explanation:

Since 30 divided by 3 is 10, 2/3 equals 20. 30 minus 20 equals 10.

Answer:7 3/4

Step-by-step explanation:

(5*8+1)/8+(8*2+5)/8=41/8+21/8=62/8=7 6/8=7 3/4

Answer:

the test statistic is  0.48

Step-by-step explanation:

Given that;

sample size n = 15

slope of regression b1 = 1.24

Standard of error SE = 2.59

now,

The hypothesis;

Null hypothesis H₀ : B1 = 0

Alternative hypothesis H₁ : B1 ≠ 0

If there is significant relation between variable x and dependent variable y, the slope will not be equal to zero.

Test Statistic

t = b1 / S.E

we substitute

t = 1.24 / 2.59

t = 0.4787 ≈ 0.48

the test statistic is  0.48

Answer:

addition.

Step-by-step explanation:

(8-2x)2+4

(8-2(3))2+4

(8-6)2+4

(2)2+4

4+4 (last operation)

8

The solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.

To determine which value is included in the solution set for the inequality statement -3(x-4) > 6(x-1), we need to solve the inequality for x.

Starting with the given inequality:

-3(x - 4) > 6(x - 1)

First, distribute -3 and 6 to the terms inside the parentheses:

-3x + 12 > 6x - 6

Next, combine like terms by subtracting 6x from both sides and adding 6 to both sides:

-3x - 6x > -6 - 12

-9x > -18

To isolate x, divide both sides of the inequality by -9. Remember that when dividing by a negative number, we need to reverse the inequality sign:

x < (-18) / (-9)

x < 2

Therefore, the solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.

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\(~~~~~~~~y = \dfrac{\sqrt{3x}}{ 1+ e^{2x}}\\\\\\\implies \dfrac{dy}{dx} = \dfrac{d}{dx} \left( \dfrac{\sqrt{3x}}{1+ e^{2x}} \right)\\\\\\~~~~~~~~~~~~=\dfrac{(1 + e^{2x} ) \dfrac{d}{dx} \left(\sqrt{3x} \right) - \left(\sqrt{3x} \right)\dfrac{d}{dx}(1+e^{2x})}{\left( 1+ e^{2x} \right)^2}~~~~~~~~~~~~;[\text{Quotient rule}]\\\\\\~~~~~~~~~~~~=\dfrac{(1+e^{2x}) \cdot \dfrac{1}{2\sqrt{3x}} \cdot 3-\left(\sqrt{3x} \right) \cdot 2 e^{2x}}{(1 + e^{2x})^2}~~~~~~~~~~~~~~~~~~~~;[\text{Chain rule}]\\\\\\\)

            \(=\dfrac{\dfrac{\sqrt 3 (1 + e^{2x})}{2\sqrt x} -2e^{2x} \sqrt{3x}}{(1+e^{2x})^2}\\\\\\=\dfrac{\tfrac{\sqrt 3(1 +e^{2x}) - 4x\sqrt 3 e^{2x}}{2\sqrt x}}{(1+e^{2x})^2}\\\\\\=\dfrac{\sqrt 3(1+e^{2x} -4xe^{2x})}{2\sqrt x(1 +e^{2x})^2}\)

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Answer:

16.01

Step-by-step explanation:

15.99, 15.999, 16.007,16.01

Order from smallest to largest.

15.99, 15.999, 16.007, 16.01

Answer:  

Exact Form: 391 /12

Decimal Form:  32.58 3 (3 is continued)

Mixed Number Form:  32  7/12  

Step-by-step explanation: You evaluate and multiply the equation.

Step-by-step explanation:

The awnser is c the square is enlarged by 4

Answer:

c

Step-by-step explanation:

becuase both sides moevd by 4 up and down

Answer:

H

Step-by-step explanation:

Firstly, G and J cannot be the answers because the beginning numbers are too big. If you look at the fractions, you can see 2 and 7/8 because 2 is the smallest of all of them. Now the answer is between F and H.

In F, the second number is 3 and 1/2.

In H, the second number is 3 and 1/4.

If you want to make it an improper fraction to visualize better, it would be 7/2 and 12/4=6/2. Or you can just compare to see which is smaller, 1/2 or 1/4. In this case, 3 and 1/4 is smaller. Therefore the answer is H.

Answer:

The Type of Reliability in each Scenario are:

Scenario   Type of Reliability Test

a)               Parallel forms reliability

b)               Interrater reliability

c)               Internal consistency reliability

Step-by-step explanation:

Types of Reliability Tests:  

Test-retest reliability = measures the results consistency with the application of the same test at different times.

Interrater reliability = shows consistent ratings by different examiners.

Parallel forms reliability = uses alternative versions of an equivalent test to probe for similar results.

Internal consistency reliability = this test checks the consistency of individual items of a test.

Therefore, the only statement that is true is: "The new area is 6 times the original area."

Area is a measure of the size or extent of a two-dimensional surface or region, such as the surface of a square, rectangle, circle, triangle, or any other shape. It is expressed in square units, such as square meters, square feet, or square centimeters.

Here,

If the side lengths of a square are tripled, the new side length will be 2 mm x 3 = 6 mm.

The original area of the square is:

Area = side length x side length = 2 mm x 2 mm = 4 mm²

The new area of the square with tripled side lengths will be:

New area = new side length x new side length = 6 mm x 6 mm = 36 mm²

Therefore, the new area of the square will be 36 mm².

To determine which of the following statements about its area will be true, we need to see which statements are true for the new area of 36 mm²:

A. The new area is 6 times the original area. This statement is true because 36 mm² is 6 times larger than 4 mm².

B. The new area is 3 times the original area. This statement is false because 36 mm² is 9 times larger than 4 mm², not 3 times larger.

C. The new area is equal to the original area. This statement is false because the new area of 36 mm² is much larger than the original area of 4 mm².

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Complete question:

look at this square: 2 mm 2 mm if the side lengths are tripled, then which of the following statements about its area will be true?

The ratio of the new area to the old area will be 2:1

The ratio of the new area to the old area will be 6:1.

The ratio of the new area to the old area will be 1:2.

The ratio of the new area to the old area will be 4:1.

Answer:

72

Step-by-step explanation:

Answer:

Triangles are equal to 180° so 56+16 is 72 and 180-72 is 108 and every straight line is 180° so 180-108 is 72 and that angle would be 72°

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The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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The exponential function showing the relationship between y and t is given by \(y=450(0.906)^t\)

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the mass of the sample of radioactive substance after t years, hence:

\(y = 450(1 - 0.094)^t\\\\y=450(0.906)^t\)

The exponential function showing the relationship between y and t is given by \(y=450(0.906)^t\)

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