Which expressions are equivalent to 6 (–x) 2x (–7) 2x? Check all that apply. X x 6 – 7 x 2x 2 x 3 – x 2x – 4 2x x – 1 x 1.

Answer:

27

Step-by-step explanation:

bhdhdhhdhddfdfffjdudhfjf 27

The SI units of the proportionality constant G is Newton \(Kg^{-2} m^2\)

Gravitational force is given by Newton's law of gravitation which states that every particle of matter in the cosmos is drawn to every other particle by a force of attraction that varies directly with the product of their masses and is inversely proportional to the square of the distance or degree of separation from each other.

F = G \($ \frac{m_1 m_2}{r^2}\)

Upon rearranging the terms we get,

G = \($\frac{F r^2}{m_1 m_2}\)

Where F is the gravitational force, \(m_{1}\) and \(m_{2}\) are masses, and r is the length.

Force has the SI units kg · m/s2

The SI units of the proportionality constant G

SI Unit of G = \($\frac{(\text { Newton })\left(\mathrm{m}^2\right)}{\mathrm{kg} ^2}\)

= Newton \(Kg^{-2} m^2\)

Therefore the units are Newton \(Kg^{-2} m^2\)

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Newton's law of universal gravitation is represented by F = G \($ \frac{m_1 m_2}{r^2}\) where F is the gravitational force, \(m_{1}\) and \(m_{2}\) are masses, and r is a length. force has the SI units kg· m/s2. what are the SI units of the proportionality constant G?

For n independent Bernoulli's trial , with probability of success as "p" then , the

(a) probability of no failure is ⇒ pⁿ ,

(b) at least one failure is ⇒ 1 - pⁿ  ,

(c) at most one failure is ⇒ pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p) ,

(d) at least two failure is ⇒ 1 - [ pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p) ]  .

In the question ,

it is given that ,

number of Bernoulli's trials is = "n"  ;

the probability of success is ⇒ p ;

Part (a)

the probability of No Failure is equivalent to probability of all success .

= pⁿ .

Part(b)

The probability of at least one failure can be written as

= 1 - (probability of all success)

= 1 - pⁿ

Part(c)

the required probability of at most one failure is =

= probability of "No Failure" \(+\) probability of "One Failure"

= ⁿCₙpⁿ(1-p)⁰ + ⁿCₙ₋₁.pⁿ⁻¹(1-p)¹

= pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p)

Part(d)

the probability of at least two failure is =

= 1 - probability of "at most one failure"     ...substituting from part(c)  

= 1 - [ ⁿCₙpⁿ(1-p)⁰ + ⁿCₙ₋₁.pⁿ⁻¹(1-p)¹ ]

= 1 - [ pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p) ]

Therefore , the required probabilities are (a) pⁿ  ,

(b) 1 - pⁿ  ,

(c) pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p)  and  

(d) 1 - [ pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p) ]   .

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Answer:

AC = 70

BG = 38

GC = 28

AE = 63

Step-by-step explanation:

The given parameters are;

The centroid of ΔABC = G

The length of FC = 35

The length of AG = 42

The length of BF = 57

The length of DG = 14

Given that the centroid is the intersection of the medians, we have;

FA = FC = 35 Definition of median line FB, (point F is the midpoint of AC)

AC = FA + FC = 35 + 35 = 70 by segment addition postulate

AC = 70

BG = 2/3 × BF = 2/3 × 57 = 38 Definition of median line BF

BG = 38

DG = 14 = 1/3 × DC Definition of median line

∴ DC = 3 × DG = 3 × 14 = 42

GC = 2/3 × DC = 2/3 × 42 = 28 Definition of median line DC

GC = 28

AG = 42 = 2/3 × AE Definition of median line AE

∴ AE = 3/2 × 42 = 63

AE = 63.

Answer:

X=60°

Step-by-step explanation:

A1=100° vertically opposite angles

100°=2x-20°

120°=2x

X=60°

By using the principles of translation, the following equation can be derived for the graph of the translated text:

g(x) = |x + 2| + 1.

According to operations like multiplication or sum/subtraction either in its range (including values of y) or in its domain, a translation is represented by a change in the function graph (involving values of x).

Examples include shifts to the left, right, or bottom; compression or stretching along the vertical or horizontal axis; reflections across the x or y axes; and rotations of a degree measured around the origin.

From the graph, we have that the parent function was:

Shifted left 2 units, hence x -> x + 2.

Shifted up 1 unit, hence y -> y + 1.

Hence, considering the parent function f(x) = |x|, the equation for the translated graph is given by:

g(x) = |x + 2| + 1.

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Metric System is a decimal system of measurement that is based on the meter, kilogram, and second and is used in most countries around the world. It is also known as the International System of Units (SI).

The Metric System is the most common measuring system used in the world today. It is a decimal system based on the meter, kilogram, and second and is officially known as the International System of Units (SI). This system was initially developed in France in the late 18th century and is now used in most countries around the world. The Metric System is based on powers of 10 and each unit is related to the next unit by a factor of 10. For example, a kilometer is equal to 1000 meters, a milliliter is equal to 0.001 liters, and a centimeter is equal to 0.01 meters. The Metric System is used to measure length, area, mass, weight, temperature, and volume. It is used in many different industries and applications including science, engineering, medicine, and agriculture. The Metric System has become the international standard for scientific measurements and is accepted by most countries as the preferred system of measurement. The Metric System is also easier for students to learn and use than other systems of measurement.

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Answer:

5x - 10

Step-by-step explanation:

7x - 2(x + 5)

= 7x - 2x -10

Please mark me brainliest if my answer is correct! Thanks!

= 5x - 10

Answer:

length=91

width=2

Step-by-step explanation:

182/2=91

91*2=182

Answer:

Area = 9 cm²

Step-by-step explanation:

The shape given is a kite.

Area of a kite = ½(D1*D2)

Where,

D1 = 6 cm

D2 = 3 cm

Therefore:

Area = ½(6*3)

Area = ½(18)

Area = 9 cm²

The statement "If a function is differentiable, then it is continuous" is generally true. In summary, if a function is differentiable at a point, it must also be continuous at that point.

Differentiability is a stronger condition than continuity. If a function is differentiable at a point, it means that it has a derivative at that point, indicating the existence of a well-defined tangent line.

A key property of differentiability is that it implies continuity. In other words, if a function is differentiable at a point, it must also be continuous at that point.

On the other hand, a function can be continuous without being differentiable. Continuous functions have no abrupt jumps, holes, or vertical asymptotes in their graphs. However, they may have corners, cusps, or vertical tangents, which prevent them from being differentiable at those points. Therefore, while differentiability guarantees continuity, continuity does not necessarily imply differentiability.

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Complete question - Write the conserve and contrapositive of the following statement- "If a function is differentiable then it is continuous."

Answer:

15

Step-by-step explanation:

(Side)^2 = (Hypotenuse)^2 - (Side)^2

(Side)^2 = (25)^2 - (20)^2

(Side)^2 = 625 - 400

(Side)^2 = 225

Side = √225

Side = 15

________

\( \: \)

a² = c² - b²

a² = 25² - 20²

a² = 625 - 400

a² = 225

a = √225

a = 15

Hrishik worked 13 hours and Jatan worked 26 hours in the given week.

Assume that Hrishik puts in x hours per week at his job. The issue states that because Jatan works two times as many hours as Hrishik does each week.

If they both put in 39 hours a week, we can construct the following equation:

x + 2x = 39

combining comparable phrases

3x = 39

by 3 and dividing both sides:

x = 13

As a result, Hrishik puts in 13 hours per week while Jatan puts in twice that amount, or 2 x 13 = 26 hours per week. As a result, throughout the specified week, Hrishik worked 13 hours and Jatan 26.

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The probability of committing a Type I error when the null hypothesis is true as an equality is d. The level of significance.

The level of significance, also known as alpha, is the threshold value that is used to determine if a result is statistically significant or not. It is the maximum probability of committing a Type I error that researchers are willing to accept.

                             A lower level of significance will decrease the probability of committing a Type I error, but it will increase the probability of committing a Type II error (failing to reject a false null hypothesis). It is important to carefully select an appropriate level of significance in order to balance these two types of errors.

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By the end of week 52, Westway Company deducted $8,857.60 for Social Security and $2,426.48 for Medicare from Suzle Chan's earnings.

To calculate the deductions made by Westway Company, we'll need to consider the Social Security and Medicare taxes.

Social Security tax:

The Social Security tax rate is 6.2% on income up to $142,800.

Since Suzle Chan earns $3,220 per week, their annual income is $3,220 * 52 = $167,440.

However, the maximum taxable income for Social Security is $142,800.

Therefore, the Social Security tax deduction is $142,800 * 0.062 = $8,857.60.

Medicare tax:

The Medicare tax rate is 1.45% on all income.

The Medicare tax deduction is $167,440 * 0.0145 = $2,426.48.

By the end of week 52, Westway Company would have deducted a total of $8,857.60 for Social Security and $2,426.48 for Medicare from Suzle Chan's earnings.

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This mixture has an extra scoop of chocolate ice cream so will taste more chocolatey than 3 scoops of chocolate ice cream and 2 cups of milk.

Statements 2, 4 and 5 are true.

Let us check each statement one by one-

1. The square root of a positive number cannot be negative-

This statement is false. Let us take an example. If we take a number, say 4, 4 has 2 square roots- 2 and -2. This is because 2 × 2 = -2 × -2 = 4. Thus, the square root of a positive number can be negative.

2. All positive numbers have two square roots.

This statement is true. It follows from the example in 1 that any positive number has 2 square roots- one negative and one positive.

3. √18 = 9 because 9(2) = 18

The given statement is false. √18 ≠ 9. If √18 was equal to 9, then 9 × 9 must be 18. But 9 × 9 is 81. Hence, false.

4. √49 = 7 because 7(7) = 49

The given statement is true. √49 = 7 as 7 × 7 = 49

5. √25 = 5 because 5²= 25

The given statement is true. √25 = 5 as 5 × 5 = 25

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Answer:

B

Step-by-step explanation:

you're gonna have to use the rules of trigonometry.

so you have all the angles(the other angle on the top is 45 degrees as well) and one of the sides.

let's use the far left angle, 45 degrees, as our main angle. we know the adjacent side, 7√2 / 2, but we want to find the hypotenuse and the opposite side. we can actually find the opposite side very easily. you see, in a right triangle, where the non-right angles are both the same degree, you will know that the sides adjacent to the right angle are equal. so, we can cross our options of A, C, and D off. we know now that the answer is B.

1. 4 -3y =1

2. 3 × 5 or 6

Step-by-step explanation:

I just guessed

Answer:

26 minutes.

Step-by-step explanation:

1 hour = 60 minutes. 60 minutes + 25 miuntes= 85 minutes of total cook time. 85 - 59 = 26. We do this because he has already cooked for 59 minutes, and the total time is 85 minutes.

Answer:

2/35

Step-by-step explanation:

total of 15 books

P(Adv,Hist) = 3/15 · 4/14  =  1/5 · 2/7  =  2/35

Answer:

45

Step-by-step explanation:

esta a 5cm de distancia del pez mientras la otra está 10cm

Answer: \(y-1=\frac{1}{4}(x-5)\)

Step-by-step explanation:

The median from vertex \(A\) passes through \(A\) and the midpoint of \(\overline{BC}\).

Using the midpoint formula, the midpoint of \(\overline{BC}\) has coordinates \(\left(\frac{3+7}{2}, \frac{5-3}{2} \right)=(5, 1)\).

Therefore, we need the equation of the line passing through \((-3,-1)\) and \((5,1)\).

The slope of this line is \(\frac{-1-1}{-3-5}=\frac{1}{4}\).

Using point-slope form, the equation is y\(y-1=\frac{1}{4}(x-5)\).

Answer:

2:3

Step-by-step explanation:

any choice that has a ration of 2:3

so 2:3, 4:6, 6:9, 10:15, 20:30, 24:36 etc...

Answer:

Step-by-step explanation:

20y

Meaning 20xy

Y=1

So 20 is 20

Answer:

. Ms. Basalyga won $2,000 in a math contest. She had to pay 13.5% of that amount

in taxes to the government. How much did Ms. Basalyga pay in taxes?

13.5/100×2000=270

Answer: Ms. Basalyga won $2,000 in a math contest. She had to pay 13.5% of that amount in taxes to the government. How much did Ms. Basalyga pay in taxes?

:13.5/100×2000=270

Step-by-step explanation

Answer:

what numbers

Step-by-step explanation:

please explain

Answer:C

Step-by-step explanation: