which expression is equivalent to the given expression?​

Answer:

1 hour

Step-by-step explanation:

if he spends 2 hours on his math, then half of that is 1 hour. However, if it's saying that be spend 2 hours on math and english combined, then the answer would only be 30 minutes. Hope this helps (:

Answer:

In order of the questions asked, the answers are, C, D, A, C

Step-by-step explanation:

After three half-lives have elapsed, 12.5% of the original nuclide remains, so the answer is C.

if 17 % is daughter nuclide, then 83% is parent nuclide, so , the answer is D

the isotope for dating organic remains is A. carbon-14

for 25% of original, 2 half-lives must have passed, so we get (2)(5730) = 11460

so the answer is C

Answer:

r = \(\frac{A-P}{Pt}\)

Step-by-step explanation:

Step 1: Subtract P from both sides.

Step 2: Divide both sides by Pt.

Answer:

0

Step-by-step explanation:

-6(2(1/3)+3(2/3(3))=

Starting with pedmas (parenthesis, exponents, division, mulitplication, addition, subtraction).

We look at 2*1/3 and 2/3*3

\(2*\frac{1}{3}=\frac{2}{3}\) and \(\frac{2}{3}*3=2\)

\(-6(\frac{2}{3})+3(2)\)=-6+6=0

\(v = \dfrac 13 ,~ a = \dfrac 23\\\\-6(2v) +3a(3)\\\\=-12v + 9a\\\\=-12\left(\dfrac 13 \right) + 9 \left( \dfrac 23 \right)\\\\=-4+ 3 \cdot 2 = -4 +6 = 2\)

Answer:

==================================

a1 = 85 = first term

d = -4 = common difference

an = a1 + d(n-1)

an = 85 - 4(n-1)

an = 85 - 4n + 4

an = -4n+89

a10 = -4*10+89

a10 = 49 is the tenth term

The true statements about the sample are a, c, d and e.

Serial codes in the resample may differ from those in the initial sample. The histogram of the resample may vary significantly from the histogram of the initial sample due to the small sample size. The number of copies of each serial number in the resample can be zero, one, or more. Furthermore, each serial number for every German aircraft is present in the initial sample precisely once.

Using resampling methods like bootstrapping or permutation tests, a new resample is created by arbitrarily selecting some of the initial sample. Therefore, depending on the precise resampling technique employed, the sample amount of the resample may be the same as the initial sample or it may be smaller or bigger.

Complete Question:

which of the following statements are true?

a. the resample can contain serial numbers that are not in the original sample.

b. the original sample can contain serial numbers that are not in the resample.

c. because the sample size is small, the histogram of the resample might look very different from the histogram of the original sample.

d. the resample has either zero, one, or more than one copy of each serial number.

e. the original sample has exactly one copy of each serial number for every German plane.

f. the resample has exactly the same sample size as the original sample.

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Answer:

z = 14.4

Step-by-step explanation:

RX is an angle bisector and divide the opposite side that are proportional to the other 2 sides , that is

\(\frac{SX}{XT}\) = \(\frac{RS}{RT}\) ( substitute values )

\(\frac{5}{6}\) = \(\frac{12}{z}\) ( cross- multiply )

5z = 72 ( divide both sides by 5 )

z = 14.4

Answer:

Look down!

Step-by-step explanation:

1. 1/4*1/4*1/4

2. 1/4*1/2*1/2*1/4

Answer:

3

Hope it helps you, tell me if im wrong pls, BE SAFE! :D

Explanation

To find the complex conjugate of -1-3i we change the sign of the imaginary part. Therefore, the conjugate is -1+3i

We can then find the product of -1-3i and its conjugate -1+3i below.

Answer: 10

Answer:

through: (-4, 1) and (1, -3) how do u write the point slope form of the equation of the line through the given points ?

Step-by-step explanation:

to find slope you do delta y over delta x meaning 3 - 1 over 1 - (-4) you get 2/5 that is slope then you do to find b you take one of the points and you plug in for y = mx + b doesn't matter which one so -3 = 2/5 (1) + b

-3 = 2/5 + b

subtract 2/5 from both sides you get

-17/5 = b

so the equation is

y = 2/5x - 17/5

The statement "A space of time between events is an interval" is true.

An interval on a number line can be represented using interval notation. It is a method of representing subsets of the real number line, in other words.

In the context of time, an interval refers to a continuous duration or span between two specific points or events. It represents the space or length of time that separates those events. For example, if we have two events occurring at different times, the duration between those events can be referred to as an interval.

Therefore, the statement is true, as a space of time between events can indeed be considered an interval.

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According to Weber's law, two items must differ in weight by "5 percent"of weight in order to detect a difference.

We are given that Weber's law

For weight discrimination, Weber’s law states that the JND is proportional to the weight of the stimulus.

The JND is defined as the smallest difference between two weights that can be detected by an observer.

The proportionality constant is known as Weber’s fraction and varies depending on the type of stimulus and the sensory modality involved.

For weight discrimination, Weber’s fraction is typically around 2-3%.

This means that two items must differ in weight by approximately 2-3% of their weight in order to detect a difference.

The difference of weight in percent is 5%, the correct option is A.

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Given:

Student ticket price = $7

A group of 4 students and 3 adults paid $64  in all for movie tickets.

To find:

Each of the adult ticket cost.

Solution:

Let x be the cost of each adult ticket.

Then, cost of 3 adult tickets = 3x.

Cost of 1 student ticket = $7

Cost of 4 student ticket = $7(4)

According to the question,

\(7(4)+3x=64\)

\(28+3x=64\)

\(3x=64-28\)

\(3x=36\)

Divide both sides by 3.

\(x=12\)

Therefore, the cost of each adult ticket is $12.

The value of line integral along path C is 76/3. To evaluate line integral along path C, given by x = 2t and y = 4t, where 0 ≤ t ≤ 1, we need to substitute these parameterizations into integrand, calculate the integral.

The line integral along the path C is given by:

∫c(x + 3y²) dy

Substituting the parameterizations x = 2t and y = 4t, where 0 ≤ t ≤ 1, into the integrand, we have:

∫c(x + 3y²) dy = ∫(2t + 3(4t)²) (4 dt)

Simplifying the expression inside the integral, we get:

∫(2t + 48t²) (4 dt)

Expanding and integrating term by term, we have:

∫(8t + 192t²) dt = ∫8t dt + ∫192t² dt

Evaluating each integral, we get:

= 4t² + 64t³/3 + C

Now, substituting the limits of integration t = 0 and t = 1, we can find the value of the line integral:

= (4(1)² + 64(1)³/3) - (4(0)² + 64(0)³/3)

= (4 + 64/3) - (0 + 0)

= 4 + 64/3

= 76/3

Therefore, the value of the line integral along the path C is 76/3.

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Answer:

y = \(\frac{1}{3}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = \(\frac{1}{3}\) , then

y = \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 9, - 3) , that is x = - 9, y = - 3 into the partial equation

- 3 = \(\frac{1}{3}\) (- 9) + c = - 3 + c ( add 3 to both sides )

0 = c

y = \(\frac{1}{3}\) x + 0 , that is

y = \(\frac{1}{3}\) x

Answer: B

(2.5, ∞)

Step-by-step explanation:

The solution set of the given logarithm inequality will be (2.5,∞).

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

In another word, a logarithm is a different way to denote any number.

As per the given logarithm function,

log₂(2x - 1) > 2

By log property

2x - 1 > 2 x 2

2x > 4 + 1

x > 5/2

x > 2.5 so the solution set will be 2.5 < x < ∞ or (2.5,∞).

Hence "The solution set of the given logarithm inequality will be (2.5,∞)".

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Answer:

4.5 miles

Step-by-step explanation:

2 times as far as last week

last week was 2.25 miles

2* 2.25 = 4.5 miles

The monthly payments for the same loan would be approximately $694.12.

To calculate the annual payment required to pay off a four-year, $27,000 loan at an interest rate of 9 percent EAR, we can use the formula for the present value of an ordinary annuity:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where:

PV = Loan amount = $27,000

PMT = Annual payment

r = Interest rate per period = 9% = 0.09

n = Number of periods = 4

Plugging in these values into the formula, we can solve for PMT:

$27,000 = PMT * (1 - (1 + 0.09)^(-4)) / 0.09

Simplifying the equation, we have:

$27,000 = PMT * (1 - 0.708222) / 0.09

$27,000 = PMT * 0.291778 / 0.09

PMT = $27,000 * 0.09 / 0.291778

PMT ≈ $8,329.40 (annual payment)

To calculate the monthly payments for the same loan, we can divide the annual payment by 12:

Monthly payment = $8,329.40 / 12

Monthly payment ≈ $694.12

Therefore, the monthly payments for the same loan would be approximately $694.12.

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The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.

From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.

So, Minimum Value = 1.0

Maximum Value = 11.2

Range = Maximum Value - Minimum Value

                  = 11.2 - 1.0

                     = 10.2

Therefore, the range of the given data is 10.2.

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To compute the determinants in exercises 9-14 by cofactor expansion, the easiest way is to identify a row or column which contains maximum number of zeros. This will help in reducing the calculations and making the task easier.

Let's take the example of Exercise 9, which is given as: `6 3 -4; 1 2 1; 3 0 -2`.To find the determinant of this matrix by cofactor expansion, we will choose the second column, as it has the least amount of computation. The process for calculating the determinant is as follows:

\(Det A = 2x(-1)^2(2+0) - 1x(-1)^3(6-(-12)) + 1x(-1)^4(0-6)\)
\(Det A = 2(2) + 1(18) - 1(6)\)
Det A = 14

Similarly, we can follow the same process for exercises 10-14 by choosing the row or column that involves the least amount of computation. We can find the determinant of a matrix by using several methods, such as row operations, cofactor expansion, and diagonalization. In exercises 9-14, we have to compute the determinants by using cofactor expansion. The idea behind choosing the cofactor expansion method is to simplify the calculation by breaking down the matrix into smaller matrices. To solve the given exercises, we need to identify a row or column that involves the least amount of computation. By choosing this row or column, we can significantly reduce the number of calculations required to find the determinant. In other words, we need to find the element with maximum number of zeros, which makes it easier to compute the determinant. In exercise 9, we chose the second column as it had the least amount of computation. By using this method, we were able to find the determinant of the matrix in a few simple steps. Similarly, for other exercises, we need to identify the appropriate row or column that makes the calculation easier.

In conclusion, by using the cofactor expansion method and choosing the appropriate row or column, we can efficiently find the determinants of matrices. This method is particularly useful when dealing with larger matrices as it reduces the number of calculations required to find the determinant.

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Answer:

 A rational number is a number that can be written in the form p/q where “p” and “q” are integers and q is not equal to zero. Subtraction and division are not commutative for rational numbers because while performing those operations, if the order of numbers is changed, then the result also changes.

It is an odd-degree polynomial. Therefore...

As the coefficient is negative for x^9.

When x < 0 or x approaches negative infinity, y or f(x) will approach positive infinity.

When x approaches positive infinity, y or f(x) will approach negative infinity.

So it is the second and the third.

As \(x \to \infty, \ f(x) \to -\infty\)

As \(x \to -\infty, \ f(x) \to \infty\)

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Explanation:

The degree of this polynomial is the largest exponent. In this case, the degree is 9.

The degree being an odd number means that the end behavior has one end going up and the other end going down. The ends go in opposite directions.

As we move to the right, the curve goes downhill. We can say the curve "falls to the right". This is due to the fact that the leading coefficient is negative.

On the flip side, as we move to the left, the curve goes uphill. We can say the curve "rises to the left".

The graph below indicates these features. In this case, I chose b = 1 and c = 1. It turns out these values do not affect the answers mentioned at the top. The end behavior will be the same for any real numbers b and c. This is because the leading term -x^9 dictates entirely what the end behavior will be.

Answer:

X÷-9=-16 x=144

Based on the information, the equation can be simplified as follows: 7xy - 2x² - y

To simplify an equation we must carefully observe all the values that make up the equation. Once we identify the values with the same symbols, (x or y) we can group them. According to this procedure we can group the values of x as shown below:

In this case the 2x was added with the 5x to form the 7x. In the case of 2x², it cannot be added with the other values of x because it has an exponent of ².

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Answer:

D. clothes last longer

Step-by-step explanation:

D is a result of the statement. Therefore, it is the hypothesis.

I hope this helps!

31 < 31,5 < 32

31,5 is between 31 and 32

Answer:

It's between 5 and 6.

Step-by-step explanation:

I took the test and got it right. The explanation they give is that the number lies between the square roots of two perfect squares, 25, and 36, so it is between 5 and 6.

Answer:

b

Step-by-step explanation: