-t/4=-3 solve the equation. Check your solution

Answer:

all real numbers

ez clappp

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

80 m

Step-by-step explanation:

Answer

answer

Answer

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

 Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

         ❀    \(\boxed{172}\)   ❀

\(\left(5-1)^3+(11-2\right)^2+(7-4)^3\)

\(=4^3 + (11 - 2)^2 + ( 7 - 4)^3\)

\(=64 + (11 - 2)^2 + ( 7 - 4)^3\)

\(= 64 + 9^2 + ( 7 - 4 )^3\)

\(= 64 + 81 + ( 7 - 4 )^3\)

\(= 145 + ( 7 - 4)^3\)

\(= 145 + 3^3\)

\(= 145 + 27\)

\(= 172\)

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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Have a great day/night!

❀*May*❀

Answer:

Krystal collected 315 pop-can tabs while Natasha collected 565 pop-can tabs.

Step-by-step explanation:

Let x be number of pop-can tabs Krystal collected

Krystal: x

Natasha: x + 250

x + x + 250 = 880

2x = 880 - 250

2x = 630

x = 315

Krystal: 315 pop-can tabs

Natasha: 315+250 = 565 pop-can tabs

The equation y\(=\) -4x - 32 in standard form is 4x + y = -32 .

The standard form of equation ( OR the general form of equation ) is represented by Ax + By = C

where ,

x and y are variables ,and

the constants are A , B and C  .

In the question ,

the given equation is  y = -4x-32

we have to express this in standard form ,

y = -4x-32

we take the terms with variables to Left hand side and the terms with constants to Right Hand side ,

4x + y = -32

Therefore , the equation y\(=\) -4x - 32 in standard form is 4x + y = -32  .

The given question is incomplete , the complete question is

Write the equation in standard form; y = -4x-32.

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Answer:

the one below the the circle one

Answer:

0.3

Step-by-step explanation:

total:16.3

20*0.8=16 (amount she will use)

16.3-16=0.3

The opportunity cost is merely the expense of not making a decision.

As a result, if you chose Project P placed above a white Project Q, the opportunity cost for such a decision is 75,000 times the estimated NPV of Project Q.

The distinction between current value of money over time value of cash outflows over time is defined as net present value (NPV).

Some key features regarding the Net Present Value (NPV) are-

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Answer:

1) m= 2, b = 4

2) m= -2 /3 , b = -2

Answer:

True

Step-by-step explanation:

1) Add up the cost of all items.

11+4.50+2.95=18.45

2) Compare with 18.

18.45>18

Therefore, Abdurrahman got what he asked for.

Checking for approximate normality in the population is essential for constructing a valid confidence interval, particularly when dealing with small sample sizes. This ensures the accuracy and reliability of the interval in estimating the true population parameter.

It's important to check whether the population is approximately normal before constructing a confidence interval because the accuracy and validity of the interval depend on the underlying distribution of the population. Here's a step-by-step explanation:

1. A confidence interval is a range of values within which the true population parameter (e.g., mean or proportion) is likely to fall, with a certain level of confidence (e.g., 95% or 99%).

2. The process of constructing a confidence interval relies on the Central Limit Theorem, which states that, for large sample sizes, the sampling distribution of the sample mean will be approximately normal, regardless of the population distribution.

3. However, for small sample sizes, the distribution of the population needs to be approximately normal in order to obtain an accurate confidence interval. This is because the normality assumption is crucial for the proper interpretation of the interval.

4. If the population is not approximately normal, the confidence interval may not provide a reliable estimate of the true population parameter, leading to incorrect conclusions and potentially invalid results.

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A correlation does not simply mean that two or more variables are present together. The statement is false.

Correlation can be positive, negative, or zero.
Positive correlation means that as one variable increases, the other variable also increases. For example, there is a positive correlation between the amount of studying and exam scores.

Negative correlation means that as one variable increases, the other variable decreases. For example, there is a negative correlation between the number of hours spent watching TV and physical activity levels.

Zero correlation means that there is no relationship between the variables. For example, there is zero correlation between the number of pets someone owns and their height.

It's important to note that correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other to change.

To summarize, a correlation measures the statistical relationship between variables, whether positive, negative, or zero. It is not simply the presence of two or more variables together. The statement is false.

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The x-intercept of CD is 17.

Since CD is perpendicular to AB and passes through point C(5, 12), we can find the equation of CD using the slope-intercept form.

The slope of CD can be determined using the negative reciprocal of the slope of AB.

Slope of AB = (change in y) / (change in x) = (14 - (-3)) / (7 - (-10)) = 17 / 17 = 1

The negative reciprocal of 1 is -1. Therefore, the slope of CD is -1.

Using the slope-intercept form, we can write the equation of CD as:

y - y1 = m(x - x1),

where (x1, y1) is a point on CD. Let's use point C(5, 12):

y - 12 = -1(x - 5)

Simplifying the equation, we have:

y - 12 = -x + 5

y = -x + 17

To find the x-intercept, we set y = 0 and solve for x:

0 = -x + 17

x = 17

Therefore, the x-intercept of CD is 17.

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Answer:

268.083

Step-by-step explanation:

volume of a sphere = 4/3 times pi times r^3. 4/3(pi)(4^3) = 268.083

The probability value of (m, n) is (1, 2^1005).

Let n be a positive odd integer. We are asked to find the probability that its reciprocal gives a terminating decimal. This is equivalent to saying that the only prime factors of n are 2 and 5 because any other prime factor will yield a repeating decimal.

If n is less than 2010, then its only possible prime factors are 3, 7, 11, ..., 2009, since all primes greater than 2009 are greater than n. We want n to have no prime factors other than 2 and 5. There are 1005 odd integers less than 2010.

We want to count how many of these have no odd prime factors other than 3, 7, 11, ..., 2009. This is equivalent to counting how many subsets there are of {3, 7, 11, ..., 2009}. There are 1004 primes greater than 2 and less than 2010. Each of these primes is either in a subset or not in a subset. Thus, there are 2^1004 subsets of {3, 7, 11, ..., 2009}, including the empty set.

Thus, the probability is:

P = (number of subsets with no odd primes other than 3, 7, 11, ..., 2009) / 2^1004

We can count this number using the inclusion-exclusion principle. Let S be the set of odd integers less than 2010. Let Pi be the set of odd integers in S that are divisible by the prime pi, where pi is a prime greater than 2 and less than 2010. Let Pi,j be the set of odd integers in S that are divisible by both pi and pj, where i < j.

Then, the number of odd integers in S that have no prime factors other than 2 and 5 is:

|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...|

where the union is taken over all sets of primes with at least one element and less than or equal to 1005 elements.

By the inclusion-exclusion principle:

|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...| = ∑ (-1)^k ⋅ (∑ |Pi1,i2,...,ik|)

where the outer summation is from k = 0 to 1005, and the inner summation is taken over all combinations of primes with k elements.

This simplifies to:

(1/2) ⋅ (2^1004 + (-1)^1005)

Thus, the probability is: P = (1/2^1004) ⋅ (1/2) ⋅ (2^1004 + (-1)^1005) = 1/2 + 1/2^1005. Hence, (m, n) = (1, 2^1005).

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Complete question:

If m/n is the probability that the reciprocal of a randomly selected positive odd integer less than 2010 gives a terminating decimal, with m and n being relatively prime positive integers. what is probability value of m and n?

The probability value of (m, n) is (1, 2^1005).This is equivalent to saying that the only prime factors of n are 2 and 5 because any other prime factor will yield a repeating decimal.

Let n be a positive odd integer. We are asked to find the probability that its reciprocal gives a terminating decimal. This is equivalent to saying that the only prime factors of n are 2 and 5 because any other prime factor will yield a repeating decimal.

If n is less than 2010, then its only possible prime factors are 3, 7, 11, ..., 2009, since all primes greater than 2009 are greater than n. We want n to have no prime factors other than 2 and 5. There are 1005 odd integers less than 2010.

We want to count how many of these have no odd prime factors other than 3, 7, 11, ..., 2009. This is equivalent to counting how many subsets there are of {3, 7, 11, ..., 2009}. There are 1004 primes greater than 2 and less than 2010. Each of these primes is either in a subset or not in a subset. Thus, there are 2^1004 subsets of {3, 7, 11, ..., 2009}, including the empty set.

Thus, the probability is:

P = (number of subsets with no odd primes other than 3, 7, 11, ..., 2009) / 2^1004

We can count this number using the inclusion-exclusion principle. Let S be the set of odd integers less than 2010. Let Pi be the set of odd integers in S that are divisible by the prime pi, where pi is a prime greater than 2 and less than 2010. Let Pi,j be the set of odd integers in S that are divisible by both pi and pj, where i < j.

Then, the number of odd integers in S that have no prime factors other than 2 and 5 is:

|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...|

where the union is taken over all sets of primes with at least one element and less than or equal to 1005 elements.

By the inclusion-exclusion principle:

|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...| = ∑ (-1)^k ⋅ (∑ |Pi1,i2,...,ik|)

where the outer summation is from k = 0 to 1005, and the inner summation is taken over all combinations of primes with k elements.

This simplifies to:

\((1/2) * (2^{1004} + (-1)^1005)\)

Thus, the probability is: P = \((1/2)^{1004}* (1/2) *(2^{1004} + (-1)^{1005}) = 1/2 + 1/2^{1005}.\)

Hence, (m, n) = (\(1, 2^{1005\)).

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The amount of sugar in the entire shipment is 97(1)/(2) tons.

We are given that a shipment of sugar fills 2(1)/(5) containers. If each container holds 3(3)/(4) tons of sugar, we need to find the amount of sugar in the entire shipment.

Step-by-step explanation:

One container of sugar holds 3(3)/(4) tons of sugar. There are 2(1)/(5) containers of sugar in the shipment.

Amount of sugar in one container = 3(3)/(4) tons

Amount of sugar in 2(1)/(5) containers

= 2(1)/(5) × 3(3)/(4) tons

= 13/5 × 15/4 = 195/20

= 97(1)/(2) tons

Therefore, the amount of sugar in the entire shipment is 97(1)/(2) tons.

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Currently Jane is 24 years old. Let's start by using variables to represent the ages of Jane and Amy. Let j be Jane's current age and a be Amy's current age.

From the first sentence of the problem, we know that j = a + 8. Now, let's focus on the second sentence of the problem. It says that Amy is now twice as old as Jane was at one-third Jane's current age.

Let's break down this sentence into smaller pieces. "Jane was at one-third Jane's current age" means that Jane's age at that time was j/3. "Amy is now twice as old as Jane was at one-third Jane's current age" means that:

a = 2(j/3)

3/2 × a = j

Now we have two equations that relate the ages of Jane and Amy:

j = a + 8

3/2 × a = j

We can substitute the first equation into the second equation to get an equation that only has one variable:

1/2 × a = 8

a = 16

So Amy = 16 years old. We can use the first equation to find Jane's age:

j = a + 8

j = 16 + 8

j = 24

Currently Jane is 24 years old.

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The statement ''the symbol μ ˆ p represents the proportion of a sample of size n, not the proportion of a sample of size n.'' is false because the symbol "μ ˆ p" does not represent the proportion of a sample of size n.

In statistical notation, the symbol "μ ˆ p" typically represents the sample proportion, which is an estimate of the population proportion. The sample proportion is obtained by dividing the number of occurrences of a specific event in the sample by the sample size.

On the other hand, the population proportion, denoted by "p," represents the proportion of the entire population that exhibits a certain characteristic or has a specific attribute.

The symbol "μ ˆ p" could be a typographical error or a confusion between different symbols used in statistics. The correct symbol to represent the sample proportion is usually denoted as "p ˆ" or "p-hat." The symbol "μ" typically represents the population mean.

Therefore, it is incorrect to state that "μ ˆ p" represents the proportion of a sample of size n.

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Answer:

Lol

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

The vertices of a rectangle are right angles (90° ) , then

5x + 2 + 3x = 90

8x + 2 = 90 ( subtract 2 from both sides )

8x = 88 ( divide both sides by 8 )

x = 11

Answer:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Step-by-step explanation:

Given: A line is drawn between points \((x_2,x_1)\,,\,(y_2,y_1)\)

To find: distance between the two points

Solution:

A coordinate plane is a two-dimensional plane formed by the intersection of a  y-axis and x-axis. x-axis and y-axis are perpendicular lines that intersect each other at the origin.

Let d denotes distance between the two points \((x_2,x_1)\,,\,(y_2,y_1)\)

Use the formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The distance between the two points show on the coordinate plane is D = √[(x₂-x₁)²+(y₂-y₁)²]. Therefore, the correct answer is option C.

The given coordinate points are (x₁, y₁) and (x₂, y₂).

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula.

On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is

Distance = √[(x₂-x₁)²+(y₂-y₁)²].

Therefore, the correct answer is option C.

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Answer:

9x²+12x+12

a = 9

b = 12

c = 12

Step-by-step explanation:

Factor

9x²+6x-18x-12

9x²-12x-12

a = 9

b = 12

c = 12

The antiderivative, F, of the power series, so that F(1) = 0 is - F = sigma \((-1)^k k! (x - 1)^k + 1/(k + 2)^3 (k + 1)\) is the answer.

Here are the different possibilities of antiderivatives, F, of the power series so that F(1) = 0.

F = sigma \((-1)^k k! (x - 1)^k + 1/4(k + 2)^4 (k + 1)\)

Here, F(1) = sigma \((-1)^k k! (1 - 1)^k + 1/4(k + 2)^4 (k + 1) = 0 + 0 = 0\)

F = sigma \((-1)^k k! (x - 1)^k/ (k + 2)^3\)

Here, F(1) = sigma\((-1)^k k! (1 - 1)^k/ (k + 2)^3 = 0/2^3 = 0\)

F = sigma\((-1)^k k! (x - 1)^k + 1 (k + 1)/(k + 2)^3\)

Here, F(1) = sigma \((-1)^k k! (1 - 1)^k + 1 (k + 1)/(k + 2)^3 = 0 + 1(1)/(2^3) = 1/8\)

F = sigma\((-1)^k k! (x - 1)^k + 1/(k + 2)^3 (k + 1)\)

Here, F(1) = sigma \((-1)^k k! (1 - 1)^k + 1/(k + 2)^3 (k + 1) = 0 + 1/(2^3)(2) = 1/16\)

F = sigma \((-1)^k k! (x - 1)^k + 1/(k + 2)^4 k\)

Here, F(1) = sigma \((-1)^k k! (1 - 1)^k + 1/(k + 2)^4 k = 0 + 0 = 0\)

Hence, the antiderivative F of the power series so that F(1) = 0 can be F = sigma \((-1)^k k! (x - 1)^k + 1/4(k + 2)^4 (k + 1)\)

or F = sigma \((-1)^k k! (x - 1)^k + 1 (k + 1)/(k + 2)^3\)

or F = sigma \((-1)^k k! (x - 1)^k + 1/(k + 2)^3 (k + 1).\)

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The correct answer is option c. 35.3%. The annual percentage yield (apy) for money invested at the given annual rate of 3.5% compounded continuously is  35.3%.

The annual percentage yield (APY) is a measure of the total interest earned on an investment over a year, taking into account the effects of compounding.

To calculate the APY for an investment with continuous compounding, we use the formula:

\(APY = 100(e^r - 1)\),

where r is the annual interest rate expressed as a decimal.

In this case, the annual interest rate is 3.5%, which, when expressed as a decimal, is 0.035. Plugging this value into the APY formula, we get:

\(APY = 100(e^{0.035} - 1).\)

Using a calculator, we find that \(e^{0.035\) is approximately 1.03571. Substituting this value back into the APY formula, we get:

APY ≈ 100(1.03571 - 1) ≈ 3.571%.

Rounding this value to the nearest hundredth of a percent, we get 3.57%.

Among the given answer choices, option c. 35.3% is the closest to the calculated value.

Options a, b, and d are significantly different from the correct answer.

Therefore, option c. 35.3% is the most accurate representation of the APY for an investment with a 3.5% annual interest rate compounded continuously.

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Answer: Absolute value will alwase be a positive number, while solving an equation that does not involve absolute value could be any number. Positive, negativ, you name it. They ae similer, because either way, you are trying to figure out a varible. -hope this helped! if i misunderstood anything, let me know! i love to improve :D

Answer:

Step-by-step explanation:

The implied utilization of the resources in the process can be calculated by dividing the demand rate by the total capacity of the resources. In this case, the total capacity is 1.1 + 0.93 = 2.03 clients per hour. Therefore, the implied utilization is 0.75 / 2.03 = 0.369 (or 36.9%).

The implied utilization represents the proportion of the available capacity that is being utilized to meet the demand. In this scenario, approximately 36.9% of the total capacity is being utilized to serve the clients. This indicates that there is still some unused capacity available in the process.

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Answer:

The statement that is true about the equation is

The equation shows a linear relationship, but not a proportional relationship.

Option A is the correct answer.

Step-by-step explanation:

Answer:

I believe the answer is C.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

plug p into its correct arrangements

22(3)÷11+3    

now multiply 22 and 3

66÷11+3

this time divide 66 by 11

6+3

all thats left is to add up the remaining numbers

6+3=9

Answer:

Step-by-step explanation:

if p equals 3 then subsitute p for 3

22(3)/11+(3)

multiply 22 times 3

66/11+3

add 11 and 3

66/14

divide

4  10/14 or 4 5/7