Which is equal to a temperature of 20°c? a 20°f b. 68°f c. 36°f d. 32°f

The time it would take to get a sunburn when the UV rating is 10 is approximately 9 minutes.

UV rays from the sun are one of the primary causes of skin damage and sunburns. The UV rating indicates the intensity of these rays at a specific location and time. In this case, we are given that at a UV rating of 6, an average person can get a sunburn in as little as 15 minutes. Since the time it takes to get a sunburn varies inversely with the UV rating, we can use this information to determine the time for a UV rating of 10.

To calculate the time, we can set up a proportion using the inverse relationship. The proportion would be:

Time with UV rating of 6 / Time with UV rating of 10 = UV rating of 10 / UV rating of 6

Plugging in the given values, we have:

15 minutes / Time with UV rating of 10 = 10 / 6

To solve for the unknown time, we can cross multiply:

15 * 6 = 10 * Time with UV rating of 10

90 = 10 * Time with UV rating of 10

Dividing both sides by 10, we find:

9 = Time with UV rating of 10

It would take approximately 9 minutes to get a sunburn when the UV rating is 10.

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hope this helps.

if you ever need helping with graph, Desmos graphing calculator is really helpful. (its a website, just search it up)

answer is b Answer:

Step-by-step explanation:

When we identify a nonsignificant finding, p relates to alpha in the following way:

b. p is less than or equal to alpha.

Explanation:

In hypothesis testing, a p-value is the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true. On the other hand, alpha is the level of significance or the probability of rejecting the null hypothesis when it is true.

The common convention is to set the level of significance at 0.05 or 0.01, which means that if the p-value is less than alpha, we reject the null hypothesis. On the other hand, if the p-value is greater than alpha, we fail to reject the null hypothesis.

Therefore, when we identify a nonsignificant finding, it means that the p-value is greater than the alpha, and we fail to reject the null hypothesis. Hence, option (b) is the correct answer.

Answer:

42.50 = 8.50p

Solution of the equation : p = 5

The can buy 5 pizza.

Step-by-step explanation:

Given;

Total cost allocated for buying pizza C = $42.50

Cost of one pizza c = $8.50

Number of pizza they can buy = p

This can be expressed in an equation as;

Total cost = cost per pizza × number of pizza

C = pc

Substituting the values of C and c;

42.50 = 8.50p

We can solve the derived equation for p;

p = 42.50/8.50

p = 5

The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.

a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.

b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.

Using Euler's method with two steps of equal size, we can approximate f(1) as follows:

f(0.5) = f(0) + (1/2)dy/dx|t=0

= 8 - (1/2)(1/6)*8

= 7.333...

f(1) = f(0.5) + (1/2)dy/dx|t=0.5

= 7.333... - (1/2)(7.333.../8)*(6-7.333...)

= 6.636...

Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.

c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.

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Answer:

x = 7

Step-by-step explanation:

The correct answer is (a) standard deviation. The measure of central tendency that is NOT included among the given options is the standard deviation (a).

Measures of central tendency are statistical measures that represent the central or average value of a dataset. They provide insight into the typical or central value around which the data tends to cluster. The three commonly used measures of central tendency are the mean, median, and mode.

a. Standard deviation is not a measure of central tendency. It is a measure of dispersion or variability in a dataset. It quantifies how spread out the data points are from the mean. Standard deviation provides information about the spread or scatter of the data rather than representing a central value.

b. Median is a measure of central tendency that represents the middle value in a dataset when the data points are arranged in ascending or descending order. It divides the data into two equal halves.

c. Mean is a measure of central tendency that represents the arithmetic average of a dataset. It is calculated by summing all the data points and dividing by the total number of observations.

d. Mode is a measure of central tendency that represents the most frequently occurring value or values in a dataset. It identifies the value(s) that appear(s) with the highest frequency.

Therefore, the standard deviation (a) is the measure of central tendency that is NOT included among the given options.

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The probability of grabbing a quarter and then, without replacement, a nickel from the given jar of change is 0.0645. The probability is rounded to four decimal places.
The jar contains 25 pennies, 15 dimes, 24 nickels, and 25 quarters.
Total number of coins = 25 + 15 + 24 + 25 = 89

Let's calculate the probability of selecting a quarter first:
P(selecting a quarter) = (number of quarters) / (total number of coins)
= 25/89
Now, let's calculate the probability of selecting a nickel without replacement:
P(selecting a nickel without replacement) = (number of nickels) / (total number of coins - 1)
= 24/88
= 3/11

The probability of both events occurring is the product of the probabilities:
P(selecting a quarter and then a nickel without replacement) = P(selecting a quarter) × P(selecting a nickel without replacement)
= 25/89 × 3/11
= 75/979
Rounded to four decimal places, the probability is 0.0645.

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The correct answer choice for the MPC (marginal propensity to consume) when the multiplier is 6 is not provided among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

The MPC is calculated as the ratio of the change in consumption to the change in income. When the multiplier is given, we can derive the MPC using the formula MPC = 1 / (1 + MPC). In this case, the multiplier is stated to be 6.

To find the corresponding MPC, we can solve the equation 1 / (1 + MPC) = 6 for MPC.

Rearranging the equation, we have 1 + MPC = 1 / 6. Subtracting 1 from both sides, we get MPC = 1 / 6 - 1 = -5 / 6.

The result MPC = -5 / 6 implies a negative MPC, which does not align with any of the given answer choices.

Additionally, all the answer choices provided (0.16, 0.83, 0.71, and 0.86) are positive values, further confirming that none of them represents the correct MPC when the multiplier is 6.

Therefore, the correct answer choice for the MPC when the multiplier is 6 is not listed among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

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it cant be solved but there is an infinite ways this could be taken

Answer:

18 units

Step-by-step explanation:

since the y- coordinates are equal then the 2 points lie on a horizontal line and the distance (d) between them is the absolute value of the x- coordinates, that is

d = | - 4 - 14 | = | - 18 | = 18

or

d = |  14 - (- 4) | = | 14 + 4 | =   18  = 18

If r = 2 then substitute it for where r is in your given equation

New equation:

\(\dfrac{7(2)}{2}\)

\(\bf{7(2) = 14}\)

\(\dfrac{14}{2} = 7\)

\(\bf{Answer: 7}\) ☑️

Good luck on your assignment and enjoy your day!

\(\frak{LoveYourselfFirst:)}\)

Answer:

1,536 lb or 696.718 kg

verification:

4 p = 128 lb

48 p = ?

48 ÷ 4 = 12

128 × 4 = 1,536 lb

48 p = 1,536 lb

explanation:

If 4 people make 128 lb of garbage in one week then 48 people would make 1,536 lb of garbage in one week because the difference between 4 and 48 is 12 (48 ÷ 4 = 12) so if you multiply 128 lb by 12 you get 1,536 lb of garbage ( 128 × 12 = 1,536 lb).

If A is invertible and AB = AC, then B = C is true. Also we can find two different matrices such that AB = AC.

(a) To prove that if A is invertible and AB = AC, then B = C, we can multiply both sides of the equation by the inverse of A.

Given AB = AC and A is invertible, we can multiply both sides by \(A^{-1}\):

\(A^{-1}\)(AB) = \(A^{-1}\)(AC)

Using the associative property of matrix multiplication, we have:

\(A^{-1}\)A)B = \(A^{-1}\)A)C

Since \(A^{-1}\)A is the identity matrix I, we have:

IB = IC

And since multiplying any matrix by the identity matrix gives the same matrix, we have:

B = C

Therefore, we have proved that if A is invertible and AB = AC, then B = C.

(b) If A = [1 1], we can find two different matrices B and C such that AB = AC.

Let's consider:

B = \(\left[\begin{array}{ccc}1&0\\0&0\\\end{array}\right]\)

C = \(\left[\begin{array}{ccc}0&0\\0&1\end{array}\right]\)

Now, we can calculate AB and AC:

AB = [1 1] [1 0] = [1 1]

[1 0]

AC = [1 1] [0 0] = [0 0]

[1 1]

As we can see, AB is equal to AC. Therefore, we have found two different matrices B and C such that AB = AC.

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Answer:

Base = 2 cm and height = 6 cm.

Step-by-step explanation:

Area = 1/2 * base + height

Let b be the base and h = height of the given triangle, then

6 = b/2 * h

6 = b/2(b/2 + 5)

b^2/4 + 5b/2 - 6 = 0

b^2 + 10b - 24 = 0

(b + 12)(b - 2) = 0

b = 2  (we neglect the negative b = -12)

So h = b/2 + 5 = 2/2 + 5 = 6.

Answer:

f⁻¹(x) = 2ˣ / 9

Step-by-step explanation:

f(x) = log₂ (9x)

y = log₂ (9x)

swap y and x:    x = log₂ (9y)

solve y: 9y = 2ˣ        y = 2ˣ / 9

f⁻¹(x) = 2ˣ / 9

The equation of the inverse of the function f(x) = log2 (9x) should be considered as the \(f^{-1}(x) = 2^x / 9\)

Since

f(x) = log₂ (9x)

So,

y = log₂ (9x)

Now

swap y and x so    x = log₂ (9y)

And, now we have to solve for y

9y = 2ˣ      

y = 2ˣ / 9

f⁻¹(x) = 2ˣ / 9

Hence, The equation of the inverse of the function f(x) = log2 (9x) should be considered as the \(f^{-1}(x) = 2^x / 9\)

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The solutions of the equation 2sinθ - 1 = 0 in the interval (0, 2π) are θ = π/6 and θ = 13π/6.

To find all solutions of the equation 2sinθ - 1 = 0 in the interval (0, 2π), we can solve for θ by isolating the sine term and then using inverse sine (arcsin) to find the angles.

Start with the equation: 2sinθ - 1 = 0.

Add 1 to both sides of the equation: 2sinθ = 1.

Divide both sides by 2: sinθ = 1/2.

Take the inverse sine (arcsin) of both sides: θ = arcsin(1/2).

The inverse sine (arcsin) of 1/2 is π/6, so we have one solution θ = π/6.

However, we need to find all solutions in the interval (0, 2π). Since the sine function has a periodicity of 2π, we can add 2π to the solution to find additional solutions.

Adding 2π to π/6, we get θ = π/6 + 2π = π/6, 13π/6.

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So, 32% of the field is red, which is equivalent to 192 square feet.

To find out how many square feet of the field is red, we need to use the percentage of the field that is red in the calculation. We know that 32% of the field is red, and the total size of the field is 600 square feet.

To calculate the number of square feet of the field that is red, we can use the following formula:

(32/100) * 600 square feet = 192 square feet

This calculation shows us that 32/100 of the field is red. To express this fraction in decimal we divide 32 by 100, which equals 0.32. To find the area of the field that is red, we then multiply 0.32 by 600 square feet.

So, the field has 192 square feet of the field is red.

Another way to think about it is: 32% is equal to 0.32, so we can multiply 600 square feet by 0.32, which also gives us 192 square feet.

Therefore, 32% of the field is red, which is equivalent to 192 square feet.

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The equation of the tangent line at x=0 is y = x.

To find the equation of the tangent line at the given value of x, we need to find the derivative of the function y with respect to x and evaluate it at x=0.

Taking the derivative of y=∫[0 to x] sin(2t^2+π/2) dt using the Fundamental Theorem of Calculus, we get:

dy/dx = sin(2x^2+π/2)

Now we can evaluate this derivative at x=0:

dy/dx |x=0 = sin(2(0)^2+π/2)

        = sin(π/2)

        = 1

So, the slope of the tangent line at x=0 is 1.

To find the equation of the tangent line, we also need a point on the line. In this case, the point is (0, y(x=0)).

Substituting x=0 into the original function y=∫[0 to x] sin(2t^2+π/2) dt, we get:

y(x=0) = ∫[0 to 0] sin(2t^2+π/2) dt

      = 0

Therefore, the point on the tangent line is (0, 0).

Using the point-slope form of a linear equation, we can write the equation of the tangent line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

Plugging in the values, we have:

y - 0 = 1(x - 0)

Simplifying, we get:

y = x

So, the equation of the tangent line at x=0 is y = x.

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Answer: x = -5

Step-by-step explanation:

4−2(x+7)=3(x+5)4-2(x+7)=3(x+5)Simplify 4−2(x+7)4-2(x+7).Tap for more steps...−2x−10=3(x+5)-2x-10=3(x+5)Simplify 3(x+5)3(x+5).Tap for more steps...−2x−10=3x+15-2x-10=3x+15Move all terms containing xx to the left side of the equation.Tap for more steps...−5x−10=15-5x-10=15Move all terms not containing xx to the right side of the equation.Tap for more steps...−5x=25-5x=25Divide each term in −5x=25-5x=25 by −5-5 and simplify.Tap for more steps...x = −5

Therefore, the original purchased price of the medium pizza without a coupon is $10.31.

A coupon is a ticket or document that may be used in marketing to obtain a financial discount or refund when making a purchase of a good.  Customers receive a discount on their initial purchase thanks to the First Order Coupon. The first order coupon sales rule may be configured by admin in the admin area.

It aids in improving conversion rates. Frequently, yearly percentages are used to describe coupon payments. For instance, a bond with a $1,000 face value and an annual payment of $30 is said to have a 3% coupon. If the friend purchased a medium pizza for $10.31 with a 30% off coupon, then the price of the pizza after the discount is:

= 10.31 - 0.30(10.31)

= 10.31 - 3.09

= $7.22

So the price of the medium pizza without a coupon is $7.22 / (1 - 0.30) = $10.31.

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A quartic function is a fourth-degree polynomial function. It is represented in the form:

f(x) = ax4 + bx3 + cx2 + dx + e Where a, b, c, d, and e are constants.

A polynomial equation of degree n has exactly n roots.The given zeros are 3, -3, 1, and 1 and, the multiplicity of 3 and -3 is 1. The multiplicity of 1 is 2. Hence, the quartic equation in factored form is:(

x-3)(x+3)(x-1)²=0

To arrive at this equation, we use the zero factor property of multiplication.

If the product of any factors is zero, then at least one of the factors must be zero. From the factored form, the roots are:

3, -3, and 1 (twice)

Therefore, the answer to the given problem is the factored form of the quartic function with zeros 3 and -3 of multiplicity 1, and a zero 1 of multiplicity 2 is given by:

(x - 3) (x + 3) (x - 1)2 = 0

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The value of x is 10.

Midsegment of a triangle is defined as the line segment joining the midpoints of two sides of a triangle.

Every triangle will have three mid segments.

Given a triangle ABC.

Given the length of the midsegment DE = 5.

By the "Triangle Mid Segment Theorem", any midsegment of a triangle connecting two sides is parallel to the third side and the length is half of the length of the third side.

DE is the mid segment.

AB is the parallel side to DE.

DE = AB / 2

5 = x / 2

x = 10

Hence the length of the third side is 10.

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There are 130 positive integers less than 1000 that are divisible by 7 but not by 11.

The rule used to find the number of positive integers less than 1000 that are divisible by 7 but not by 11 is the inclusion-exclusion principle. This principle states that if we want to find the number of elements that belong to at least one of two sets, we can add the sizes of the sets together and then subtract the size of the intersection of the sets. In this case, we first find the number of positive integers less than 1000 that are divisible by 7 (which is 142), then the number that are divisible by 11 (which is 90), and finally the number that are divisible by both (which is 12). Using the inclusion-exclusion principle, we can find the number of positive integers less than 1000 that are divisible by 7 but not by 11 by subtracting the number that are divisible by both from the number that are divisible by 7: 142 - 12 = 130. Therefore, there are 130 positive integers less than 1000 that are divisible by 7 but not by 11.
To find the number of positive integers less than 1000 that are divisible by 7 but not by 11, you can use the Inclusion-Exclusion Principle.

First, find the number of integers divisible by 7: there are 999/7 = 142.71, so 142 integers are divisible by 7.

Next, find the number of integers divisible by both 7 and 11 (i.e., divisible by their LCM, which is 77): there are 999/77 = 12.97, so 12 integers are divisible by 77.

Now, apply the Inclusion-Exclusion Principle: Subtract the number of integers divisible by both 7 and 11 from the number of integers divisible by 7: 142 - 12 = 130.

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That's a question about the Pythagorean Theorem.

We use the Pythagorean Theorem to find the value of one side in a right triangle.

This theorem says that:

\(\boxed{a^2 = b^2 + c^2}\)

Okay, now, let's go to solve this problem! In our figure, we have two cathetus. Their values are 10 and 7 and we have to find the value of x (the hypotenuse). Let's change this information in that formula.

\(a^2 = b^2 + c^2\\x^2 = 10^2 + 7^2\\x^2 = 100 + 49\\x^2 = 149\\x = \sqrt{149}\)

Therefore, the value of x is \(\sqrt{149}\).

I hope I've helped. :D

Enjoy your studies! \o/

Answer:

f=10gh

making h the subject of the formula, we have;

h=f/10g

Answer:

61

Step-by-step explanation:

7,13,19,25

each number has a gap of 6. So, by adding 9 times 6 into the base value 7 you can get your answer (10th term).

The matrix of H is  \(\left[\begin{array}{ccc}4&-1\\4&6\end{array}\right]\).

We have,

To multiply two matrices, the number of columns in the first matrix must be equal to the number of rows in the second matrix.

If this condition is satisfied, the resulting matrix will have the number of rows of the first matrix and the number of columns of the second matrix.

B = \(\left[\begin{array}{ccc}1&4\\1&3\end{array}\right]\)

D = \(\left[\begin{array}{ccc}4&3\\0&-1\end{array}\right]\)

Now,

H = BD

BD = \(\left[\begin{array}{ccc}1&4\\1&3\end{array}\right]\)  x  \(\left[\begin{array}{ccc}4&3\\0&-1\end{array}\right]\)

BD = \(\left[\begin{array}{ccc}1\times4 + 4\times0&1\times3 + 4\times-1\\1\times4 + 3\times0&3\times3 + 3 \times-1\end{array}\right]\)

BD = \(\left[\begin{array}{ccc}4&-1\\4&6\end{array}\right]\)

Thus,

The matrix of H is  \(\left[\begin{array}{ccc}4&-1\\4&6\end{array}\right]\).

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If the lsus corporation has account receivable of $294 million, it means that it has outstanding balances owed by customers for goods or services that have already been delivered or rendered. This is a significant amount of money and could potentially impact the company's cash flow if the accounts are not collected in a timely manner.

The company's accounts receivable balance is an important metric that is closely monitored by investors, creditors, and management. It indicates the company's ability to generate revenue and collect payments from customers.
To manage its accounts receivable effectively, the lsus corporation can implement measures such as setting clear payment terms and deadlines, offering discounts for early payments, and following up promptly on overdue accounts. It may also consider outsourcing its accounts receivable management to a third-party agency if necessary.

In summary, a high accounts receivable balance can have implications for a company's financial health and should be managed carefully to ensure timely collections and positive cash flow.

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