To conduct a science experiment, it is required to decrease the temperature from 36 c at the rate of 4 c every hour. what will be the temperature 10 hours after the process begins?

You would add 5x + 2x = 7x

Substitute 5 for x and that = 5(5)= 35 +2(5)= 10= 45

and do it for  7(5)= 35-1 = 34 too

You can't make them equal

Following the pattern in (5)(3)+(2)(3) = (5+2)(3), we could do the same thing with 5x+2x = (5+2)x.  We're basically un-distributing the common factor from each term.

And now with (5+2)x, we can add the 5 and 2 to get 7x.

If we substitute different values into 5x+2x, it works out to add up to 7 times that same substituted value. For example:

    (5)(9)+(2)(9)=45+18=63

    (7)(9)=63

If we substitute 9 into 7x-1, then we end up with 63-1 = 62.

In fact, any number we put into 5x+2x will always be one more than 7x-1.  So, no, there doesn't seem to be any value of x that would make these equal.  Since 5x+2x=7x, then 7x-1 will always be one less than 7x.

Considering the properties of the normal curve, if we know the mean and standard deviation, we are then able to calculate the area under the curve between any score and the mean

Standard Deviation Normal distribution:

The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation. For the standard normal distribution, 68% of the observations lie within 1 standard deviation of the mean; 95% lie within two standard deviation of the mean; and 99.9% lie within 3 standard deviations of the mean. However, when using a standard normal distribution, we will use "Z" to refer to a variable in the context of a standard normal distribution. Since the area under the standard curve = 1, we can begin to more precisely define the probabilities of specific observation.

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A correlation is computed using data from 18 people. The critical cutoff for a two-tailed hypothesis test with a p-level of 0.05 is 0.4472.

In statistics, the correlation coefficient is a measure that determines the linear association between two variables. It is utilized to find how strong the connection is between two variables. The correlation coefficient value ranges from -1 to +1, with negative correlations indicating an inverse relationship between the two variables, and positive correlations indicating a direct relationship.

The correlation coefficient formula is: r = (N(Σxy) - (Σx)(Σy)) / sqrt((NΣx² - (Σx)²)(NΣy² - (Σy)²))

where, N is the number of observations

Σxy is the sum of the product of x and y

Σx is the sum of x

Σy is the sum of yΣx² is the sum of the squared value of xΣy² is the sum of the squared value of y

Now, let's move on to the actual question, which asks for the critical cutoff for a two-tailed hypothesis test with a p-level of 0.05. Using a table of t-values or statistical software, we can determine the critical t-value with the given degrees of freedom (N-2), which is 16 for 18 people and a significance level of 0.05. This gives us a critical t-value of ±2.120 (rounded off to 3 decimal places).To convert the critical t-value to a correlation coefficient, we can use the following formula:t = r * sqrt((N-2) / (1-r²))

where, r is the correlation coefficient value and N is the number of observations

By rearranging the formula and substituting the values, we can determine the minimum correlation coefficient value:r = sqrt((t² / (t² + (N-2))))We can then substitute the values:r = sqrt((2.120² / (2.120² + 16))))r = sqrt(0.1982)r = 0.4451 (rounded off to 4 decimal places)Therefore, the critical cutoff for a two-tailed hypothesis test with a p-level of 0.05 is 0.4472 (rounded off to 4 decimal places).

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The mentioned characteristics of quadrilateral are the properties of the Rhombus. So option C is correct.

Given that,

A quadrilateral  TUVW,

UV || WT,  

TU || VW

TV = UW  (Diagonals )

TV ⊥ UW (Diagonals are perpendicular)

Hence, the given characteristics are of the rhombus.

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To calculate the probabilities, we need to use the concept of binomial probability.

For a fair coin being tossed 5 times:

(a) Probability of getting five heads:

The probability of getting a head in a single toss is 1/2.

Since each toss is independent, we multiply the probabilities together.

P(Head) = 1/2

P(Tails) = 1/2

P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125

So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.

(b) Probability of getting four heads:

There are five possible positions for the four heads.

P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625

So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.

(c) Probability of getting one head:

There are five possible positions for the one head.

P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625

So, the probability of obtaining one head is approximately 0.15625 or 15.625%.

For a fair die being thrown eight times:

(a) Probability of a 6 occurring six times:

The probability of rolling a 6 on a fair die is 1/6.

Since each roll is independent, we multiply the probabilities together.

P(6) = 1/6

P(Not 6) = 1 - P(6) = 5/6

P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433

So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.

(b) Probability of a 6 never happening:

P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256

So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.

(c) Probability of an odd number of 6s:

To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

Calculate each term and sum them up to find the final probability.

After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.

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The number of free-throws missed equals x - 6. The number of free-throws made equals x - (x - 6) or 6. The number of free-throws attempted equals x.

The expression (x - 6)/x represents the percentage of free-throw attempts that Stephanie made during a basketball game. To determine the number of free-throws missed, we subtract the number of successful attempts from the total attempts. Thus, the number of free-throws missed is represented by x - 6.

The number of free-throws made can be found by subtracting the number of missed attempts from the total attempts. Since the total attempts are represented by x, and we already established that x - 6 represents the number of missed attempts, the number of made free-throws is given by x - (x - 6), which simplifies to 6.

Lastly, the number of free-throws attempted is simply represented by x, which corresponds to the total number of attempts.

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The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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The speed of the ladybug as the disk spins is approximately 31 inches/second.

The ladybug is traveling at approximately 94 inches/second.

To determine the speed of the ladybug, we need to consider the linear velocity at the outer edge of the spinning disk. The linear velocity is the distance traveled per unit time.

First, we calculate the circumference of the disk using its diameter of 12 inches. The circumference of a circle is given by the formula C = π * d, where d is the diameter.

C = π * 12 inches = 12π inches.

Since the disk completes 50 revolutions per minute, we can calculate the number of rotations per second by dividing the number of revolutions by 60 seconds:

rotations per second = 50 revolutions/minute / 60 seconds/minute = 5/6 rotations/second.

Now, we can find the linear velocity by multiplying the circumference of the disk by the rotations per second:

linear velocity = (12π inches) * (5/6 rotations/second) ≈ 10π inches/second.

To approximate the value, we can use π ≈ 3.14:

linear velocity ≈ 10 * 3.14 inches/second ≈ 31.4 inches/second.

Rounding to the nearest integer, the ladybug is traveling at approximately 31 inches/second.

Therefore, the speed of the ladybug as the disk spins is approximately 31 inches/second.

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Answer:

Step-by-step explanation:

Using the information provided we can create the following two equations each of which calculates the total number of minutes that the whale (w) or the platypus (p) can stay underwater. In order to solve each, you would need the value of at least 1 of the mammals.

w = 7 * (p+x)

p = (w / 7) - x

The w in these equations represents the number of minutes the whale can stay underwater while the p represents the number of minutes that the platypus can stay underwater.

s.a=C.A xH

v of n.o.2 =lxwxh

Step-by-step explanation:

v of no.3=πr2h and s.a=πdh

no.1=area of cross section x area of all faces and v=area of cross section x length

try those ones

Answer:

your answer will be A. y=1/2x+2

Step-by-step explanation:

I hope it helps have a nice day bye ^_^

The equation of line is found as y = 9x - 16.

For the given question;

The passing points of the line are (6, 2) and (-3, 1).

The slope of line is calculated as;

slope = m = (y₂ - y₁)/(x₂ - x₁)

Where,

(x₁, y₁) =  (6, 2)

(x₂, y₂) = (-3, 1)

Put the values;

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

m = -9/-1

m = 9

Then, the equation of line using slope intercept form is-

y - y₁ = m (x - x₁)

Put the values;

y - 2 = 9(x - 2)

Simplifying;

y -2 = 9x - 18

y = 9x - 16

Thus, the equation of line is found as y = 9x - 16.

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The complete question is -

What is the equation of the line that passes through P( 6,2) and S (- 3,1)?

We have to find the area under the graph but since we are not given the graph ,So let's learn how it is done. To estimate the area under the graph of function f from x, you can use rectangles. Here's how you can do it:

Step 1: Divide the interval [a, b] into six equal subintervals.
Step 2: Calculate the width of each rectangle by dividing the total width of the interval [a, b] by the number of rectangles (in this case, 6).
Step 3: For each subinterval, find the value of the function f at the right endpoint of the subinterval.
Step 4: Multiply the width of the rectangle by the value of the function at the right endpoint to find the area of each rectangle.
Step 5: Add up the areas of all six rectangles to estimate the total area under the graph of f from x.

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Answer:

your answer should be b= 17

Answer:

Since the purchase price is $16 and the discount is 75%, you multiply 15 times 75 and that gets you 1,200.

Basically, 1,200 is converted into $12.00 since we are talking about money.

To find out how much she saved you subtract 16 minus 12 and you should get 4.

Answer:

2x + 4y = 110

Step-by-step explanation:

Let

The quantity of small tables = x

The quantity of large tables = y

The smaller tables can fit 2 people, the larger tables can seat 4 people.

Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.

Number of people×quantity (small table) + number of people×quantity (large table) = 110

2x + 4y = 110

Answer:

a

Step-by-step explanation:

Answer:

0.23

0.569

1.03

0.0009 i think

Step-by-step explanation:

umm when you convert to decimal you move the decimal point two times to the left i think

An equivalent statement will be if lines L and K intersect, then they are not parallel.

Parallel lines are lines that do not meet. The angle between the parallel lines is 0 degrees

The statement if line L is parallel to line K, then they will never intersect is true and an equivalent statement will be if lines L and K intersect, then they are not parallel.

This is determined using the contrapositive statements

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Answer: A. If lines l and k intersect they are not parallel

Step-by-step explanation: trust meh

Answer:

-1 1/6, -2/3, -1/6, 1/2

Step-by-step explanation:

The final answer

Tomas had the highest speed and therefore drove the fastest.

Let's calculate the speeds for each friend using the given information:

Maren:

Distance = 60 miles

Time = 1 hour

Speed = Distance / Time = 60 miles / 1 hour = 60 miles/hour

Safiya:

Distance = 120 miles

Time = 3 hours

Speed = Distance / Time = 120 miles / 3 hours = 40 miles/hour

Tomas:

Distance = 84 miles

Time = 1.2 hours

Speed = Distance / Time = 84 miles / 1.2 hours = 70 miles/hour

Cam:

Distance = 75 miles

Time = 1.5 hours

Speed = Distance / Time = 75 miles / 1.5 hours = 50 miles/hour

Now that we have calculated the speeds for each friend, we can compare them to determine who drove the fastest.

Based on the calculated speeds, we find that Tomas drove the fastest with a speed of 70 miles/hour. Therefore, Tomas is the friend who drove the fastest among Maren, Safiya, Tomas, and Cam.

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Complete Question:

Four friends drove from their homes in four different cities to a class reunion.

Name  Distance Time

Maren  60 miles 1 hour

Safiya  120 miles 3 hours

Tomas  84 miles 1.2 hours

Cam      75 miles 1.5 hours

Who drove the fastest?​

For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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Answer:

15

Step-by-step explanation:

Part (a)

Focus on triangle PSQ. We have

angle P = 52

side PQ = 6.8

side SQ = 5.4

Use of the law of sines to determine angle S

sin(S)/PQ = sin(P)/SQ

sin(S)/(6.8) = sin(52)/(5.4)

sin(S) = 6.8*sin(52)/(5.4)

sin(S) = 0.99230983787513

S = arcsin(0.99230983787513)

S = 82.889762826274

Which is approximate

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

Use this to find angle Q. Again we're only focusing on triangle PSQ.

P+S+Q = 180

Q = 180-P-S

Q = 180-52-82.889762826274

Q = 45.110237173726

Which is also approximate.

A more specific name for this angle is angle PQS, which will be useful later in part (b).

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

Now find the area of triangle PSQ

area of triangle = 0.5*(side1)*(side2)*sin(included angle)

area of triangle PSQ = 0.5*(PQ)*(SQ)*sin(angle Q)

area of triangle PSQ = 0.5*(6.8)*(5.4)*sin(45.110237173726)

area of triangle PSQ = 13.0074347717966

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

Next we'll use the fact that RS:SP is 2:1.

This means RS is twice as long as SP. Consequently, this means the area of triangle RSQ is twice that of the area of triangle PSQ. It might help to rotate the diagram so that line PSR is horizontal and Q is above this horizontal line.

We found

area of triangle PSQ = 13.0074347717966

So,

area of triangle RSQ = 2*(area of triangle PSQ)

area of triangle RSQ = 2*13.0074347717966

area of triangle RSQ = 26.0148695435932

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

We're onto the last step. Add up the smaller triangular areas we found

area of triangle PQR = (area of triangle PSQ)+(area of triangle RSQ)

area of triangle PQR = (13.0074347717966)+(26.0148695435932)

area of triangle PQR = 39.0223043153899

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

This value is approximate. Round however you need to.

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

Part (b)

Focus on triangle PSQ. Let's find the length of PS.

We'll use the value of angle Q to determine this length.

We'll use the law of sines

sin(Q)/(PS) = sin(P)/(SQ)

sin(45.110237173726)/(PS) = sin(52)/(5.4)

5.4*sin(45.110237173726) = PS*sin(52)

PS = 5.4*sin(45.110237173726)/sin(52)

PS = 4.8549034284642

Because RS is twice as long as PS, we know that

RS = 2*PS = 2*4.8549034284642 = 9.7098068569284

So,

PR = RS+PS

PR = 9.7098068569284 + 4.8549034284642

PR = 14.5647102853927

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

Next we use the law of cosines to find RQ

Focus on triangle PQR

c^2 = a^2 + b^2 - 2ab*cos(C)

(RQ)^2 = (PR)^2 + (PQ)^2 - 2(PR)*(PQ)*cos(P)

(RQ)^2 = (14.5647102853927)^2 + (6.8)^2 - 2(14.5647102853927)*(6.8)*cos(52)

(RQ)^2 = 136.420523798282

RQ = sqrt(136.420523798282)

RQ = 11.6799196828694

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

We'll use the law of sines to find angle R of triangle PQR

sin(R)/PQ = sin(P)/RQ

sin(R)/6.8 = sin(52)/11.6799196828694

sin(R) = 6.8*sin(52)/11.6799196828694

sin(R) = 0.4587765387107

R = arcsin(0.4587765387107)

R = 27.3081879220073

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

This leads to

P+Q+R = 180

Q = 180-P-R

Q = 180-52-27.3081879220073

Q = 100.691812077992

This is the measure of angle PQR

subtract off angle PQS found back in part (a)

angle SQR = (anglePQR) - (anglePQS)

angle SQR = (100.691812077992) - (45.110237173726)

angle SQR = 55.581574904266

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

This value is approximate. Round however you need to.

Answer:

.

Step-by-step explanation:.

Answer:

Step-by-step explanation:

I think it's the first last one because proportional means it increases by the same each time so the last one fits in that category

Answer:

Number 1 is proportional, 2 is non proportional, 3 non proportional, 4 non proportional.

Step-by-step explanation:

You divide . 4÷1=4 , 8÷2=4, 12÷3=4, the unit rate MUST be the same !!!! And if there's 0 0, that doesn't count so like if your other 2 have the same unit rate it would still be proportional.

The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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The value of cos(x) for |x| ≤ 1/12 accurate to 12 decimal places (rounded), we need at least 5 terms in the series of cos(x). We will use Taylor's theorem to derive this result.

Taylor's theorem, also known as the Taylor series theorem, is a mathematical formula used to represent functions as a sum of infinitely many derivatives in order to approximate them over a certain interval.

This formula allows us to derive the value of a function at a point using information about its derivatives at that point.

In essence, Taylor's theorem is a tool used in calculus to model complex functions that cannot be easily solved.

Using Taylor's theorem to solve the question:

We know that the Taylor series expansion of cos(x) is given by the formula:

cos(x) = 1 - x²/2! + x⁴/4! - x⁶/6! + ...

To get an accurate value of cos(x), we need to keep adding terms in the series until the absolute value of the next term is less than our required accuracy.

Using |x| ≤ 1/12 and rounding to 12 decimal places, we have an error tolerance of 0.000000000001.

Therefore, we need to find the smallest value of n such that \(|x^(n+1)/(n+1)!| ≤ 0.000000000001,\)

where x = 1/12.

Substituting x = 1/12,

we have |(1/12)^(n+1)/(n+1)!| ≤ 0.000000000001

Using a calculator, we can find that n = 4 satisfies this inequality.

Therefore, we need at least 5 terms in the series of cos(x) to compute the value of cos(x) for |x| ≤ 1/12 accurate to 12 decimal places (rounded).

Conclusion:

To calculate the value of cos(x) for |x| ≤ 1/12 accurate to 12 decimal places (rounded), we need at least 5 terms in the series of cos(x). We used Taylor's theorem to derive this result.

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