The temperature at 12:00 a.m. was-10°F. The temperature increased by Feach hour for hours. What wasthe temperature in degrees Fahrenheit at 8:00 am

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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On solving the provided question, we can say that Probability(A and B) = P(A)P(B|A) and P(E or F) = P(E) + P(F) - P(E and F)

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

Probability(A and B) = P(A)P(B|A).

P(A and B) = P(B and A), this may also be written as P(A and B) = P(B)P(A|B).

Using the general multiplication rule, we have

P(E and F) = P(E)P(F|E)

.392 = P(E)(.7)

P(E) = .56

   P(E and F) = P(F)P(E|F)

.392 = P(F)(.56), so

P(F) = .7

P(E or F) = P(E) + P(F) - P(E and F)

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The measure of the angle ADC is: 20°

The parameters are given as:

∠ABC = 40°

∠ADC = ?

We know from circle geometry that:

Angle subtended at the center is twice the angle subtended at the circumference.

Therefore:

∠ABC = 2 x ∠ADC

On substituting the value we get:

40° = 2 * ∠ADC

∠ADC = 20°

Therefore, the measure of the angle ADC is 20°

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Complete question is:

A circle is centered on point B. Points A, C and D lie on it's circumference.

If ABC measures 40 degrees, what does ADC measure?

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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Answer:

A. $180,750

Step-by-step explanation:

<3

Answer:

5 cups

Step-by-step explanation:

The approximate difference in the circumferences of the two circles is: C. 61 cm.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 4.5

Circumference of circle, C = 14.13 cm.

For the larger circle, we have:

Circumference of circle, C = 3.14 × 24

Circumference of circle, C = 75.36 cm.

Difference = 75.36 cm - 14.13 cm.

Difference = 61.23 ≈ 61 cm.

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Answer:

Step-by-step explanation:

\(\frac{3x^4}{(\frac{1}{x^2})^2} \\= 3x^8\)

Answer:

\(3x^{8}\)

Step-by-step explanation:

\((x^{-2})^{2}\) is equal to \(x^{-4}\). Whenever an x has a negative exponent, it means that you can put it to the other side, whether it be from denominator to numerator or numerator to denominator. In this case, because it is in the bottom it goes from denominator to numerator. You will end up with something like \(3x^{4} x^{4}\) but you can add the X's and end up with the answer.

The mean, median, range, and standard deviation  for the new data set must all be 7 greater than for the original data set.

The mean is the sum of all the values divided by the number of values. Adding the number 6 to the original data set of 30 positive integers increases the sum of all the values by 6, which means the mean for the new data set must be 7 greater than the mean for the original data set.

The formula for the mean is: Mean = (Sum of Values)/(Number of Values)

For the original data set: Mean = (Sum of Values)/30

For the new data set: Mean = (Sum of Values + 6)/31

Therefore, the mean for the new data set must be 7 greater than the mean for the original data set.

The median is the middle value in a set of data. Adding the number 6 to the original data set of 30 positive integers increases the total number of values to 31, which means the median is calculated differently for the new data set than the original data set. The median for the new data set must be 7 greater than the median for the original data set.

The formula for the median is: Median = (n+1)/2

For the original data set: Median = (30+1)/2 = 15.5

For the new data set: Median = (31+1)/2 = 16.5

Therefore, the median for the new data set must be 7 greater than the median for the original data set.

The range is calculated by subtracting the smallest value from the largest value in a data set. Adding the number 6 to the original data set of 30 positive integers increases the largest value by 6, which means the range for the new data set must be 7 greater than the range for the original data set.

The formula for the range is: Range = (Largest Value) - (Smallest Value)

For the original data set: Range = (Largest Value) - 13

For the new data set: Range = (Largest Value + 6) - 13

Therefore, the range for the new data set must be 7 greater than the range for the original data set.

The standard deviation is a measure of how spread out the values in a data set are. Adding the number 6 to the original data set of 30 positive integers increases the total number of values by 1, which means the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.

The formula for the standard deviation is: Standard Deviation = √ (Sum of (Values - Mean)2 / Number of Values)

For the original data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 30)

For the new data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 31)

Therefore, the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.

The mean, median, range, and standard deviation for the new data set must all be 7 greater than for the original data set

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Answer:

1

Step-by-step explanation:

\(h {}^{ - 1} ( - 1)\)

means that what is the value of the inverse function of h(x) when x=-1. The inverse function x and y values swap with original functions. When x=1, y=-1 so the inverse of that will be when x=-1, y=1.

Applying the inverse function concept, it is found that \(h^{-1}(-1) = 1\)

The inverse function \(f^{-1}(x) = a\) means that \(f(a) = x\).

In this problem, it is asked \(h^{-1}(-1)\).

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Step-by-step explanation:

multiply 8 and the -3r + 7

8(-3r + 7 )

-24r + 56 is the area :)

Answer:

1.  Understand your problem

2. Gather your resources

3. Come to an answer

4. Check your answer and present the solution

Step-by-step explanation:

Answer:

C. 3363

Step-by-step explanation:

I calculated logically

Answer:

C

Step-by-step explanation:

The value of x is $53.34 dollars but no higher than $115 and for y is as low as $160, but no higher than $345.

According to the question,

Diane will donate "up to $460" in charity, which means it can be less than or equal to 460, but not any higher. Then,

$460 to charity (max)

$160 + to Educational (160 being the minimum)

It is also given , Education is 3x (or higher) than City.

If we denote x to City, and y to Educational, then,

x + y = 460 . And we know that y ≥ 3x

x + 3x = 4x = 460

x = 115.

This means when she donates $115 to City, she will donate 3x (or $345) to Educational. These are the max value

She will not donate higher than $460.

A minimum requirement was placed on Educational earlier.

When y = 160,

x will be y/3,

=> x = 160/3 =  $53.34. This means she donated 213.34, which is still less than $460

Therefore, x (which is City) can be the range of $53.34 dollars but no higher than $115.

y (which is Educational) will be as low as $160, but no higher than $345.

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Answer:

64 people can fit in the theater.

Step-by-step explanation:

If 60% is full then calculate how many people is it

\( \frac{60}{100} \times 160 = 96 \\ 160 - 96 = 64\)

64 is 40% of 160

So this many people can be accommodated in the theater

Answer:

64 more people can fit in the theater

Step-by-step explanation:

You need to find 60% of 160

10%=16 (divided by 10)

16×6=96

160 (total people)-96(60%)=64

Answer:

(3,6)

Step-by-step explanation: it is a reflection across the x-axis which is positive (3,6)

Answer:

Final population after 10 years

= 288911718

Step-by-step explanation:

Present population p = 258,316,051

Rate of growth R%= 1.12%

Number of years t= 10 years

Number of times calculated n = 10

Final population A

= P(1+r/n)^(nt)

A= 258,316,051(1+0.0112/10)^(10*10)

A= 258,316,051(1+0.00112)^(100)

A= 258,316,051(1.00112)^100

A= 258,316,051(1.118442762)

A= 288911717.6

Approximately A= 288911718

Final population after 10 years

= 288911718

Given statement Sale Pricing Confusion solution is :- You should have been charged $2.88, not $9.

Let's break down the costs:

Ice Cream: $0.73

Sprinkles: $0.15

Water bottle: $2.00

The total cost of these three items would be:

$0.73 + $0.15 + $2.00 = $2.88

According to the prices you mentioned, you should have been charged $2.88, not $9. If the cashier told you that you owed $9, it's possible that there was an error in their calculations or that they included other items in your bill. It's best to clarify the discrepancy with the cashier and ask for an explanation or correction.

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There is no point that is NOT included in the graph of the step function.

The coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour.

To determine the point that is NOT included in the graph of the step function, we need to consider the charging scheme and analyze the pattern of charges.

The step function can be represented as follows:

For the first hour, the charge is a flat rate of $2.

For each additional hour or fraction of an hour, the charge is $1.

Let's analyze the points included in the graph:

(1, 2): This point represents the charge for the first hour, which is $2.

Now, let's consider the additional hours:

2. (2, 3): This point represents the charge for 2 hours, which is $2 for the first hour and $1 for the additional hour.

(3, 4): This point represents the charge for 3 hours, which is $2 for the first hour and $2 for the additional 2 hours.

(4, 5): This point represents the charge for 4 hours, which is $2 for the first hour and $3 for the additional 3 hours.

Based on the charging scheme, we can observe a pattern where the charge increases by $1 for each additional hour or fraction of an hour.

Since the charging scheme allows for any additional hour or fraction of an hour, there is no specific point that is excluded from the graph. Any positive value of x greater than or equal to 1 will have a corresponding point on the graph.

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Answer:

\( x \leqslant \sqrt{5}\) ​

Step-by-step explanation:

Hope this helped!

Answer:

 40  

+ 5  

+   0.8

+   0.00

+   0.003

Step-by-step explanation:

Answer:

X = 25

Step-by-step explanation:

1) The area of a circle circumscribed about a square is 307.7 cm².

2.a.) The angle ACB is 39 degrees.°.

2b.) The value of x is 5.42.

We shall find the radius to determine the area of a circle.

First,  find the side length of the square:

Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.

Next, find the diagonal of the square, using the Pythagorean theorem:

Diagonal = the diameter of the circumscribed circle.

Diagonal² = side length² + side length²

= 14 cm² + 14 cm²

= 196 cm² + 196 cm²

= 392 cm²

Take the square root of both sides:

Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)

Then, the radius of the circle which is half the diagonal:

Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)

Finally, compute the area of the circle using the formula:

Area = π * Radius²

Area = 3.14 * (9.90 cm)²

Area ≈ 307.7 cm² (rounded to two decimal places)

Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².

2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.

Given that arc AB has a measure of 78°, we can find angle ACB as follows:

Angle ACB = 1/2 * arc AB

= 1/2 * 78°

= 39°

Therefore, the angle ACB is 39 degrees.

2b.) To solve for the value of x, we use the information that the angle ADB =  (3x - 12)⁴.

Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:

(3x - 12)⁴ = 78

Solve the equation for x, by taking the fourth root of both sides:

∛∛((3x - 12)⁴) = ∛∛78

Simplify,

3x - 12 = ∛(78)

Isolate x by adding 12 to both sides:

3x - 12 + 12 = ∛(78) + 12

3x = ∛(78) + 12

Finally, divide both sides by 3:

x = (∛(78) + 12) / 3

x = (4.27 +12) / 3

x = 5.42

So, x is 5.42

Therefore,

1) The area of the circle is 154 cm².

2a.) Angle ACB is equal to 102°.

2b.) The value of x is 5.42

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

4 1/2

Step-by-step explanation:Because 2x2 =4 and 2x1/4 = 1/2 so it is 4 1/2

The distance between city a and city b is square root {(x_2 - x_1)^2 + (y_2 - y_1)^2} where (x_1, y_1) is city a coordinates and  (x_2, y_2) is city b coordinates.

Given,

Two cities a and b are mapoed on the coordinate plane.

We need to find the distance between them.

One point has (a,b) coordinates.

The other point has (c,d) coordinates.

The distance between them is given by:

square root {(c-a)^2 + (d-b)^2}

Let,

City a has (x_1, y_1) coordinates.

City b has (x_2, y_2) coordinates.

Find the distance between city a and city b.

Distance = square root {(x_2 - x_1)^2 + (y_2 - y_1)^2}

Thus the distance between city a and city b is square root {(x_2 - x_1)^2 + (y_2 - y_1)^2} where (x_1, y_1) is city a coordinates and (x_2, y_2) is city b coordinates.

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n > 39/4 is value of quartic equation.

What does quartic equation mean?

A fourth-degree equation, often known as a quartic equation, is one that reduces a quartic polynomial to zero and has the formula: where a 0. A quartic function's derivative is a cubic function.

For a quadratic ax² + bx +c , the sign of its determinant, given by

 Δ = b²- 4ac

"determines" the nature of its roots. In particular, if Δ<0 , then the quadratic has two distinct non-real roots.

Now, we have

3z² - 9z = n - 3

3z² - 9z - (n - 3)  = 0

with determinant

Δ = (-9)² - 4 .3( n - 3 ) = 117 - 12n

Solve for  such that Δ < 0

Δ = 117 - 12n < 0 ⇒  12n > 117

n > 117/12

n > 39/4

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To find the number of roast beef servings that Rick can make, we proceed as follows:

Step 1: Divide the total weight of the roast beef by the amount of weight of meat per serving, as follows:

Therefore, the number of roast beef servings that Rick can make is 5.5

Answer:

20.

Step-by-step explanation:

60 - 40 = 20

Answer:

There are 5 prime numbers between 40 and 60.

Step-by-step explanation:

A prime number is a number that is ONLY divisible by itself and 1 with no remainder. For example 3 can only be divided by 1 or 3 without a remainder left.

Between 40 and 60 there are 5 prime numbers: 41, 43, 47, 53, and 59.