Please Help!

Evaluate | –2 | = ?
Evaluate | 7 | = ?.

Answer:

  (c)  x < -5.170

Step-by-step explanation:

The given function is an exponential function with a decay factor of 0.5 and a y-intercept of 0.5^2 = 0.25. It will be larger for more negative x-values.

We know that 2^3 = 8, so (1/2)^-3 = 8. This means the exponent of 0.5 in the given inequality will be more negative than -3:

  x +2 < -3

  x < -5 . . . . . . . . subtract 2

The only answer choice in this range is ...

  x < -5.170

Taking the logarithm of both sides of the inequality, we have ...

  (x +2)log(0.5) > log(9)

  x +2 < log(9)/log(0.5) . . . . . . log(0.5) < 0, so the inequality reverses

  x < log(9)/log(0.5) -2 . . . . . . subtract 2

  x < (0.95424251)/(-0.30103000) -2 = -3.1699250 -2

  x < -5.1699250 ≈ -5.170

Answer:

Step-by-step explanation:

To calculate the amount of radon-222 remaining after a certain number of days, we can use the formula:

Remaining amount = Initial amount * (1 - decay rate)^number of days

Given that the decay rate is 17.3% per day, we can express it as 0.173 in decimal form.

After 7 days:

Remaining amount = 165 mg * (1 - 0.173)^7

Remaining amount ≈ 165 mg * (0.827)^7

Remaining amount ≈ 165 mg * 0.306

Remaining amount ≈ 50.430 mg

Therefore, approximately 50.430 mg of radon-222 will remain after 7 days.

After one year (365 days):

Remaining amount = 165 mg * (1 - 0.173)^365

Remaining amount ≈ 165 mg * (0.827)^365

Remaining amount ≈ 165 mg * 0.000668

Remaining amount ≈ 0.110 mg

Therefore, approximately 0.110 mg of radon-222 will remain after one year.

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The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points?

A. y = -6x + 2

B. y = -6x - 2

C. y = -2x + 6

D. y = -2x - 6 ✓

A. y = -6x + 2

B. y = -6x - 2

C. y = -2x + 6

D. y = -2x - 6✓

36

you can divide 33/11 to get the amount of money for 1 inch which is 3 cents

then multiply 12 by that 3 to get 36

Answer:

4 inches of wire.

Step-by-step explanation:

∴ 1 cent can buy 11/33 = 1/3 inches

∴ 12 cents can buy 12 × 1/3 = 4 inches

The inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

To find the inverse Laplace transform of each function, we need to express them in terms of known Laplace transforms. Here are the solutions for each function:

a)

\(F(s) = \large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)

To find the inverse Laplace transform, we first need to factor the denominator of F(s). The denominator factors as (s - 3)². Therefore, we can rewrite F(s) as:

\(F(s) = \large{\frac{2e^{-0.5s}}{(s-3)^2}}\)

Now, we know that the Laplace transform of eᵃᵗ is 1/(s - a). Therefore, the inverse Laplace transform of

\(e^(-0.5s) \: is \: e^(0.5t).\)

Applying this, we get:

\(f(t) = 2e^(0.5t) * t \\

b) F(s) = \large{\frac{s-1}{s^2-3s+2}}\)

We can factor the denominator of F(s) as (s - 1)(s - 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{s-1}{(s-1)(s-2)}}\)

Simplifying, we have:

\(F(s) = \large{\frac{1}{s-2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(2t) \\

c) F(s) = \large{\frac{s-1}{s^2+s-2}}

\)

We factor the denominator of F(s) as (s - 1)(s + 2). The expression becomes:

\(F(s) = \large{\frac{s-1}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{1}{s+2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-2t) \\

d) F(s) = \large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)

We can factor the denominator of F(s) as (s - 1)(s + 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{e^{-s}(s-1)}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{e^{-s}}{s+2}}\)

The Laplace transform of

\(e^(-s) \: is \: 1/(s + 1).\)

Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

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Answer:

6

+

9

3

+

5

Step-by-step explanation:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

square rock garden:

side = 120 ft

circular grass yard:

circumference = 560 ft

Step 02:

area (covered by grass):

area rock garden:

area (rg) = s² = (120 ft)² = 14400 ft²

area circular yard:

area (cy) = π r²

circumference = 2 π r

560 = 2 * 3.14 * r

560 / ( 2 * 3.14) = r

89.17 ft = r

area (cy) = 3.14 * (89.17 ft)² = 24967.05 ft²

area (covered by grass) = area (cy) - area (rg) = 24967.05 ft² - 14400 ft²

area (covered by grass) = 10567.05 ft²

area (covered by grass) (square yards):

The answer is:

area (covered by grass) = 10567.05 ft²

area (covered by grass) = 1162.38 yd²

Answer:

3/5

Step-by-step explanation:

the chance of landing on an even number (2 or 4) is 2/5

the chance of landing on the unshaded section (3) is 1/5

add the 2 together since the problem said "or" to get 3/5

The hydrated Calcium Chloride compound is CACl₂.0.2998H₂O

To determine the formula of the hydrated Calcium Chloride compound,  to calculate the number of water molecules present in the hydrated salt.

First to calculate the mass of water lost during the heating process. This can be done by subtracting the mass of the anhydrous salt from the mass of the hydrated salt.

Mass of water lost = Mass of hydrated salt - Mass of anhydrous salt

= 5.4769 g - 2.7745 g

= 2.7024 g

To convert the mass of water lost to moles. the molar mass of water, which is approximately 18.015 g/mol.

Number of moles of water lost = Mass of water lost / Molar mass of water

= 2.7024 g / 18.015 g/mol CACl₂x²

= 0.1499 mol

Calcium Chloride (CACl₂x²) has a molar mass of approximately 110.98 g/mol.

Since calcium chloride has a 1:2 ratio with water in the hydrated form,  the following equation:

0.1499 mol water / 1 mol CACl₂ = X mol water / 2 mol CACl₂x²

0.1499 mol water = X mol water / 2

X mol water ≈ 0.1499 mol water × 2

X mol water ≈ 0.2998 mol water

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The statement:

         a survey of 800 randomly selected adults in a certain country found that 82% believed that protecting the rights of those with unpopular views is a very important component of a strong democracy.

The statement is true

Explanation:

A survey of 800 randomly selected adults in a certain country found that 82% believed that protecting the rights of those with unpopular views is a very important component of a strong democracy.

In a strong democracy, people –citizens – govern themselves to the greatest extent possible rather than delegate their power and responsibility to representatives acting in their names. Strong democracy does not mean politics as a way of life, as an all-consuming job, game, and avocation, as it is for so many professional politicians. But it does mean politics (citizenship) as a way of living: an expected element of one’s life. It is a prominent and natural role, such as that of “parent” or “neighbor”

Therefore, the statement is true.

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⇒ common ratio =r=3 and the given sequence is geometric sequence. Where an is the nth term, a is the first term and n is the number of terms. ⇒ 12th term is 708588 .

(May be wrong for some other users, although it's correct for me.)

Answer: 22

Step-by-step explanation:

11 - 6 = 5

4 x 5 = 20

20 + 2 = 22

' pls can i have brainliest? i need it for my goal'

Answer:

22

Step-by-step explanation:

Solve whats in the paranthesis: (11-6) = 5

New problem: 4(5) + 2

Then multiply: 20+2

Finally add both numbers together: 22

Complete Question:

Which of the following statements is not true?

Choose the incorrect statement below.

Answer:

B. A system of linear equations in two variables must have at least one solution.

Step-by-step explanation:

A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional. Thus, the graph of a linear function is a straight-line and its slope is always constant.

Similarly, a linear equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.

Generally, a system of linear equations in two variables must have at least two solution.

For example, y = 2x + 1 is a linear equation.

a. To find the value of y;

When x = 0

y = 2(0) + 1

y = 2 + 1

y = 3

b. To find the value of x;

When y = 0

0 = 2x + 1

2x = -1

x = -½

Answer: The given differential equation is a second-order homogeneous differential equation with constant coefficients. The general form of the auxiliary equation for such an equation is:

ar² + br + c = 0

where a, b, and c are constants. The roots of this equation give us the characteristic roots of the differential equation, which are used to find the general solution.

For the given differential equation, the auxiliary equation is:

x^2r^2 - 20 = 0

Simplifying, we get:

r^2 = 20/x^2

Taking the square root of both sides, we get:

r = ±(2√5)/x

The roots of the auxiliary equation are therefore:

r1 = (2√5)/x

r2 = -(2√5)/x

The general solution to the differential equation is:

y(x) = c1 x^(2√5)/2 + c2 x^(-2√5)/2

where c1 and c2 are constants determined by the initial or boundary conditions.

The general solution to the differential equation is:

y(x) = c1 x^5 + c2 x^-4

The auxiliary equation corresponding to the differential equation is:

r^2x^2 - 20 = 0

Solving for r, we get:

r^2 = 20/x^2

r = +/- sqrt(20)/x

r = +/- 2sqrt(5)/x

The roots of the auxiliary equation are +/- 2sqrt(5)/x.

To solve the differential equation, we assume that the solution has the form y(x) = Ax^r, where A is a constant and r is one of the roots of the auxiliary equation.

Substituting y(x) into the differential equation, we get:

x^2 (r)(r-1)A x^(r-2) - 20Ax^r = 0

Simplifying, we get:

r(r-1) - 20 = 0

r^2 - r - 20 = 0

(r-5)(r+4) = 0

So the roots of the auxiliary equation are r = 5 and r = -4.

Thus, the general solution to the differential equation is:

y(x) = c1 x^5 + c2 x^-4

where c1 and c2 are arbitrary constants.

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Answer:

\(\frac{x+20}{x+4}\)

Step-by-step explanation:

Can't cancel out terms like that

need to factor out the top and bottom

\(\frac{x^{2} +16x-80}{x^{2} -16}\) = \(\frac{(x+20)(x-4)}{(x-4)(x+4)}\)   now cancel out the (x-4) from the top and bottom

= \(\frac{x+20}{x+4}\)

Answer & Explanation:

Error: individual terms in an equation in a fraction cannot be directly canceled out.

Correction:

the easy way (solve the quadratic equation in the numerator and complete the square in the denominator):

(x^2 + 16x - 80) / (x^2 - 16)

(x+20)(x-4) / (x+4)(x-4)

x+20 / x+4

the complicated way (manipulate the exponents and common factors):

(x^2 + 16x - 80) / (x^2 - 16)

(x^2 - 4x + 20x - 80) / x^2 - 2^4

x(x^2-1 - 2^2)+4*5(x - 2^4-2) / (x - 2^2)(x + 2^2)

x(x-4)+20(x-4) / (x-4)(x+4)

x(x-4)+(2^2 (5))(x-4) / (x-4)(x+4)

(x-4)(x + 2^2 (5)) / (x-4)(x+4)

(x-4)(x+20) / (x-4)(x+4)

x+20 / x+4

The circulatory system's primary functions are listed above. Service for the body's cells is provided by the heart, blood, and blood vessels.

Through the system of veins, arteries, and capillaries, blood transports carbon dioxide towards the lungs (for expiration) and takes up oxygen. Both liquid and solid components make up your blood. Water, salts, and protein make up the liquid component, known as plasma.

Plasma makes up most of your blood. Red blood cells, white blood cells, and platelets make up the solid portion of your blood. The oxygen from your lungs is carried to human tissues and organs by red blood cells (RBC).

The study on quality, organization, location, and change is what arithmetic is all about. Mathematicians look for patterns and come up with new theories.

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Answer:x = 154°

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

x = 154°

Answer: 154 degrees

Step-by-step explanation: subtract 180 from 26 To get it .

Answer:

1 - 60

Step-by-step explanation:

She needs to number each plant 1-60 and randomly select 10 plants.

Answer:

5.99

Step-by-step explanation:

Do the division by doing:

0 5. 9 9 0

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

5  |    2  9. 9 5 0

− 0        

 2 9      

− 2 5      

   4 9    

 − 4 5    

     4 5  

   − 4 5

       0 0

     −   0

         0

A) The given problem can be considered as an experiment as the researcher is trying to observe the effect of a new drug on quitting smoking.

B) In this experiment, the control group is composed of the participants who received skin patches with no drugs. They are used for the comparison of the effects of the treatment.

C) The treatment group in this experiment is composed of the participants who received skin patches with the new drug. This group is used to analyze the effect of the treatment.

D) Yes, there is a placebo being used in this experiment, which is the skin patch without the new drug. It is used to evaluate the effectiveness of the new drug.

Explanation:

An experiment is a study in which the researcher changes one or more variables and observes or measures the effect of those changes on another variable. In this given problem, the researcher is trying to observe the effect of a new drug on quitting smoking. Thus, it can be considered an experiment.

The control group is a group of participants who do not receive the treatment and are used for comparison with the treatment group. In this experiment, the participants who received skin patches with no drugs acted as the control group.

The treatment group, on the other hand, is a group of participants who receive the treatment and are used to analyze the effect of the treatment. In this experiment, the participants who received skin patches with the new drug acted as the treatment group.

A placebo is an inactive substance that has no therapeutic effect but is used in studies to evaluate the effectiveness of a drug or intervention. In this experiment, the skin patch without the new drug is used as a placebo to evaluate the effectiveness of the new drug. Thus, it is being used in the given experiment.

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Answer:

D

Step-by-step explanation:

The formula for y=

y=(slope)x-(y intercept).

So, we are given -3 and -2 in the places-

y=(slope)-3x-(y intercept)-2

So, the answer is -3 and -2.

(D)

Option (d) is correct: E(Y|X=x) is the mean of Y when X = x, regardless of whether Y is a binary or continuous variable. In logistic regression. (option-d)

E(Y|X=x) represents the conditional expected value of Y (the dependent variable) given a certain value of X (an independent variable) in logistic regression. It is the average value of the dependent variable Y when the independent variable X has a specific value of x.

Y is typically a binary variable, where Y = 1 represents success and Y = 0 represents failure, and X is a continuous or discrete variable that is used to predict the probability of success.

Option (a) is incorrect, because E(YX=x) represents the conditional probability of success given a value of X, not the probability regardless of the value of X.

Option (b) is also incorrect, because E(YX=x) does not represent the odds of success, which is the probability of success divided by the probability of failure, and is not the same as the expected value.

Option (c) is incorrect, because PI(Y=1|X=x) represents the conditional probability of success given a value of X, not the expected value. Therefore, the only correct answer is option (d): E(Y|X=x) is the mean value of Y when X has a specific value of x in logistic regression modeling.(option-d)

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Step-by-step explanation:

Area is maximum when

x = √136

I hope this helps =3

Answer:Possible lengths of third side of triangle

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Step-by-step explanation:

Answer:

EZ!!! 1e+100

Step-by-step explanation:

A 2x2 nondiagonal matrix that is diagonalizable but not invertible is the matrix A = [(0, 1), (0, 0)].

A diagonalizable matrix has linearly independent eigenvectors, while an invertible matrix has a nonzero determinant. The given matrix A = [(0, 1), (0, 0)] is not diagonal since it has off-diagonal elements.

To check if it's diagonalizable, we find the eigenvalues:
1. Calculate the characteristic equation: det(A - λI) = (0 - λ)(0 - λ) - (1)(0) = λ^2
2. Solve for λ: λ = 0 (double root)

Now, find the eigenvectors for λ = 0:
(A - λI)v = 0
[(0, 1), (0, 0)]v = 0

From the system of linear equations, we have one equation: v2 = 0. Choose v1 = 1, then the eigenvector is (1, 0). Since we have two linearly independent eigenvectors, the matrix A is diagonalizable.

To check if it's invertible, calculate the determinant:
det(A) = (0)(0) - (1)(0) = 0

Since the determinant is zero, the matrix A is not invertible. Therefore, A is a 2x2 nondiagonal matrix that is diagonalizable but not invertible.

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