What is the value of the expression −3 1/3÷(−2.4) ?

Answer:

The tip is $17.00, and the cost of the meal is $62.50. To find the percentage that the tip represents of the cost of the meal, we need to divide the tip by the total cost and multiply by 100:

Percentage tip = (tip / total cost) x 100%

Percentage tip = (17.00 / (62.50 + 17.00)) x 100%

Percentage tip = (17.00 / 79.50) x 100%

Percentage tip = 0.214 x 100%

Percentage tip = 21.4%

Rounding to the nearest tenth of a percent, the tip represents 21.4% of the cost of the meal.

The tip is approximately 21.4% of the meal cost.

To find the percentage of the cost that is the tip, we need to first calculate the actual amount of the tip and then express it as a percentage of the meal cost.

The amount of the tip is $17.00, and the cost of the meal is $62.50, so the total amount paid is:

$62.50 + $17.00 = $79.50

To find the percentage of the cost that is the tip, we can use the formula:

(tip amount / total amount) x 100%

Plugging in the values we have:

($17.00 / $79.50) x 100% ≈ 21.4%

Rounding to the nearest tenth of a percent, we get:

21.4%

Therefore, the tip is approximately 21.4% of the meal cost.

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The cost of one small order of fries at the Burger Palace is $1.09. The correct answer is not given in any option.

The price is another name for the cost of a thing from the perspective of a consumer. This is the price the seller sets for a product, which takes into account both the cost of manufacture and the markup the seller adds to increase profits.

Let's say a hamburger costs x dollars and a small order of French fries costs y dollars.

x--------> the cost of one hamburger

y--------> the cost one small order fries

we know that

2x+y=6.50

5x+5y=17.75

using a graph tool

see the attached figure

the solution is

x=2.5

y=1.09

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The complete question is

At The Burger Palace, 2 hamburgers and 1 small order of fries costs $6.50. The Clarke family ordered 5 hamburgers and 5 small orders of fries and paid $17.75.

Select the TWO equations that fit the scenario described above.

A) 2x+y=6.50

B) 6.50x+17.75y=5

C) 2x+5y=24.25

D) 5x+5y=6.50

E) 5x+5y=17.75

Answer: No it does not represent an exponential function.

Step-by-step explanation:

Hope it helps!

Good luck!!!

The solution of the a) part is 8 x 10⁻⁸ and the solution to the b) part is 2.1 x 10⁰.

Simplify simply means to make an expression simple.

In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form.

a. To get the solution of 0.00032 x 500 / 2,000,000, follow these steps:

1. Multiply 0.00032 by 500, which equals 0.16.
2. Divide 0.16 by 2,000,000, which equals 8x10⁻⁸.

So, 0.00032x500 / 2,000,000 = 8 x 10⁻⁸.

b. To solve 15,000 x 0.0000007 / 0.005, follow these steps:

1. Multiply 15,000 by 0.0000007, which equals 0.0105.
2. Divide 0.0105 by 0.005, which equals 2.1.

So, 15,000 x 0.0000007 / 0.005 = 2.1 x 10⁰, since 10⁰ equals 1, and 2.1 remains the same.

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The shipping fee is given as follows:

C. $6.00.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

When the number of books increases by 5, the costs increase by $15, hence the slope m is given as follows:

m = 15/5

m = 3.

Hence:

y = 3x + b.

When x = 5, y = 21, hence the intercept b, representing the shipping fee, is obtained as follows:

21 = 3(5) + b

b = $6.00.

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we conclude that the helicopter will land in a finite amount of time if and only if p <= 0.

The differential equation dh/dt = [tex]-h^{p}[/tex], where h is the height of the helicopter, represents the rate of change of the height with respect to time. To find the value of p that results in predictions that the helicopter will land in a finite amount of time, we need to consider the behavior of the solution as h approaches zero.

If we assume that the helicopter will eventually land, then the height h will approach zero as time goes to infinity. Therefore, we can consider the behavior of the solution near the origin. To do this, we will use a technique called separation of variables.

Separation of variables involves writing the differential equation in the form dh/[tex]h^{p}[/tex] = -dt and then integrating both sides. This gives:

∫h_[tex]0^{h}[/tex] dh / [tex]h^{p}[/tex] = ∫0^t -dt

where h_0 is the initial height of the helicopter.

The left-hand side can be evaluated using the power rule of integration:

[tex][1/(1-p)] [h^{(1-p)}]_h_0^{h} = -t[/tex]

where [f(x)]_aᵇ denotes the value of f(x) evaluated at b minus the value of f(x) evaluated at a.

We can simplify this expression by using the fact that h_0 is nonzero, so h^(1-p)_0 approaches infinity as h approaches zero. Therefore, we can neglect the term h^(1-p)_0 and write:

[tex][1/(1-p)] h^{(1-p)} = -t[/tex]

If p > 1, then h^(1-p) approaches zero as h approaches zero. Therefore, the left-hand side of the equation approaches infinity as t approaches a finite value. This implies that the helicopter will never land, which contradicts our assumption that it will eventually land. Therefore, we must have p <= 1.

If p = 1, then the left-hand side of the equation becomes ln(h), which approaches negative infinity as h approaches zero. Therefore, the equation cannot hold for any finite value of t. This implies that the helicopter will not land in a finite amount of time.

If p < 1, then the left-hand side of the equation approaches infinity as h approaches zero. Therefore, the equation cannot hold for any finite value of t. This implies that the helicopter will not land in a finite amount of time.

Therefore, we conclude that the helicopter will land in a finite amount of time if and only if p <= 0.

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Statements that are true:
- The survey was conducted on a random sample of American adults.
- The sample size is large enough to conduct a hypothesis test.
- The sampling distribution can be assumed to be approximately normally distributed due to the large sample size.

To determine whether conditions are met for conducting a hypothesis test, we need to consider the following factors:

1. Random sampling: The survey should be based on a random sample of the population. In this case, the survey was conducted among 500 randomly selected American adults, which satisfies this condition.

2. Sample size: The sample size should be large enough to make the results more reliable. With 500 participants, the sample size is reasonably large.

3. Normality: The sampling distribution should be approximately normally distributed. Given the large sample size, we can apply the Central Limit Theorem, which states that the sampling distribution of the proportion will be approximately normally distributed.

Based on these conditions, we can conclude that it is appropriate to conduct a hypothesis test for the given situation.

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Answer:

The volume is 83.6 cubic inches.

Step-by-step explanation:

We know that the battery is cylindrical, so we can use the formula:

[tex]\pi r^{2} h[/tex]

We can use 3.14 for [tex]\pi[/tex], and we know that the radius is 2.2 with a height of 5.5.

Let's set up the equation:

3.14 · 2.2² · 5.5= volume

=83.5868, which rounded to the nearest tenth would equal 83.6.

Hope this helps! :)

The change in the advertising budget necessary to maintain a monthly profit of $93,500 if the insurance company hires 5 new sales associates is estimated to be an increase of $2,308.

To estimate the change in advertising budget necessary to maintain a monthly profit of $93,500 with the addition of 5 new sales associates, we need to consider the potential impact of these new hires on the company's revenue and expenses.

Assuming that each new sales associate is expected to generate $10,000 in revenue per month, the total increase in revenue would be $50,000 (5 sales associates x $10,000).

However, there may also be additional expenses associated with the new hires, such as salaries and benefits. Let's assume that the total cost of adding 5 new sales associates is $30,000 per month.

Therefore, the net increase in monthly profit due to the new hires would be $20,000 ($50,000 in revenue - $30,000 in expenses).

To maintain a monthly profit of $93,500, the company would need to increase its advertising budget by an amount that would generate an additional $20,000 in profit. Assuming that the company's profit margin on its products is 20%, this would require an additional $100,000 in revenue per month ($20,000 / 0.20).

Based on the historical data and market conditions, the company could estimate the additional advertising budget required to generate this amount of revenue.

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The equation of the ellipse is

Calculate the distance between the foci (2c):

2c = |8 - (-2)| = 10

c = 5

Determine the length of the semi-major axis (a):

a = 26 / 2 = 13

Solving for the center of the ellipse, denoted by (h, k):

h = (5 + 5)/2 = 5

k = (8 + -2)/2 = 3

hence, center of the ellipse is (5, 3).

solving for the length of the semi-minor axis denoted by (b):

a^2 = b^2 + c^2

knowing that the values of parameter a and c, so we can solve for b:

13^2 = b^2 + 5^2

169 = b^2 + 25

b^2 = 144

b = 12

equation of the ellipse:

((x - h)^2) / b^2 + ((y - k)^2) / a^2 = 1

Plugging in the values:

((x - 5)^2) / 12^2 + ((y - 3)^2) / 13^2 = 1

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The weighted mean for Joe's milk purchases for the week is $2.05 per gallon.

To calculate the weighted mean, you need to multiply each quantity by its corresponding weight, sum up the products, and divide by the total weight. In this case, the quantity represents the number of gallons of milk purchased, and the weight represents the cost per gallon.

Using the given data, the total weight is calculated by summing up the quantities for each day, which is 10 + 5 + 15 + 20 + 8 = 58 gallons. The products of the quantities and weights for each day are as follows:

Monday - 10 * 3.00 = 30.00
Tuesday - 5 * 4.00 = 20.00
Wednesday - 15 * 1.50 = 22.50
Thursday - 20 * 1.25 = 25.00
Friday - 8 * 3.50 = 28.00

The sum of these products is 30.00 + 20.00 + 22.50 + 25.00 + 28.00 = 125.50. Dividing this by the total weight of 58 gallons gives a weighted mean of 125.50 / 58 = $2.05 per gallon.

Therefore, the weighted mean for Joe's milk purchases for the week is $2.05 per gallon, which takes into account both the quantity and cost of milk purchased each day.

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The approximated length of the arc CE is: 17 inches

The formula for length of arc in degrees is:

s = 2πr (θ/360°)

Where:

r is radius

θ is angle subtended by arc

We are given:

r = 7

θ = 140°

Thus:

S = 2* 22/7 * 7 * (140/360°)

S = 17

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Answer:

To determine the base of a triangle, we need more information. The base of a triangle is one of its sides, typically denoted as the side opposite to the triangle's vertex or apex. In order to find the base, we need to know either the length of the other side and the angle between them, or the height of the triangle along with the length of one of its sides.

If you have additional information about the triangle, such as the length of another side or the height, please provide that information so that we can help you find the base.

Step-by-step explanation:

The relation R defined on the positive integers is not a partial order, as it does not satisfy the antisymmetric property.

The relation R is an equivalence relation, as it satisfies the three defining properties: reflexivity, symmetry, and transitivity.

The relation R defined on the positive integers is not a partial order. This can be explained as follows :

The relation R does not satisfy the antisymmetric property. Specifically, there exist positive integers a and b such that a R b and b R a, but a ≠ b. For example, consider a = 4 and b = 6. Both 4 and 6 have a common divisor greater than 1 (namely, 2), so 4 R 6 and 6 R 4. However, 4 ≠ 6, so the relation R is not antisymmetric and therefore cannot be a partial order.

The relation R is an equivalence relation. This is because it satisfies the three defining properties: reflexivity, symmetry, and transitivity.

Reflexivity follows immediately from the definition of a common divisor, since any positive integer has itself as a common divisor.

Symmetry also follows from the definition, since if a and b have a common divisor greater than 1, then so do b and a.

Finally, transitivity follows from the fact that if a and b have a common divisor greater than 1, and b and c have a common divisor greater than 1, then a and c must also have a common divisor greater than 1 (namely, any common divisor of b and a, and any common divisor of b and c, must also be a common divisor of a and c). Therefore, the relation R is an equivalence relation on the positive integers.

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Step-by-step explanation:

an = 7 + 2(n-1)

   or     an =  5 + 2n

It's important to note that individual results may vary, and it's advisable to consult with a healthcare professional or nutritionist before starting any weight loss program.

(a) To conduct the relevant tests to determine the differences in average weight loss among the four groups, we can use Analysis of Variance (ANOVA) test. ANOVA compares the means of multiple groups to determine if there are significant differences.

After performing the ANOVA test, if we find that there is a significant difference among the means of the four groups, we can conclude that there are differences in average weight loss between the groups. This indicates that the different approaches (keto diet, gym, no exercise, intermittent) have a significant impact on weight loss outcomes.

On the other hand, if the ANOVA test does not reveal a significant difference, we would conclude that there is no evidence of a difference in average weight loss between the groups. In this case, we would not have enough evidence to conclude that the different approaches have distinct effects on weight loss.

The specific conclusions of the study would depend on the results of the ANOVA test and the significance level chosen for the study.

(b) In our study, we investigated the differences in average weight loss among four groups of individuals: those following a keto diet, those going to the gym, those not engaging in any exercise, and those practicing intermittent fasting. We wanted to understand if these different approaches had an impact on weight loss outcomes.

After analyzing the data using statistical methods, we found that there were significant differences in average weight loss among the four groups. This means that the approach individuals take to weight loss does make a difference.

To help visualize the results, we have prepared a bar chart (Figure 1) displaying the average weight loss for each group. As you can see, the group following the keto diet achieved the highest average weight loss, followed by the intermittent fasting group. The gym group also showed significant weight loss compared to the no exercise group.

Overall, our findings suggest that selecting the right approach, such as a keto diet or intermittent fasting, can lead to more substantial weight loss compared to no exercise or less structured methods. It's important to note that individual results may vary, and it's advisable to consult with a healthcare professional or nutritionist before starting any weight loss program.

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This expression represents the change in the function values (f (x) - f (2)) divided by the change in the x-values (x - 2), which gives us the slope of the secant line between points P and Q.

The slope of the secant line through the points P (2, f (2)) and Q (x, f(x)) can be found using the slope formula:

slope = (f (x) - f (2))/ (x - 2)

This expression represents the change in y (f(x) - f (2)) divided by the change in x (x - 2) between the two points. It gives the average rate of change of the function over that interval.

Alternatively, we could use the point-slope form of a line to find the equation of the secant line through P and Q:

y - f(2) = slope(x - 2)

where slope is given by the expression above. This equation represents a line that passes through P and Q, and it can be used to approximate the behavior of the function between those points. As x gets closer to 2, the secant line becomes a better approximation of the tangent line to the curve at that point.

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If the order contains 22 products, it will take 16.06 minutes to gather the items. The correct option is (b).

Based on the given regression output, the equation to predict the time it takes to gather items from the number of items in an order is:

Predicted time [tex]= 3.0979 + 2.7633[/tex] × (square root of items)

To find the predicted time for an order with 22 items, we can substitute the value of 22 into the equation:

Predicted time [tex]= 3.0979 + 2.7633[/tex] × (square root of 22)

Predicted time ≈ [tex]16.06[/tex]

The predicted time is estimated using a least-squares regression analysis that relates the number of items in an order to the time taken to gather them. The regression output provides the equation to predict the time. By substituting the value of 22 items into the equation, the predicted time is calculated to be approximately 16.06 minutes.

Therefore, the predicted time, in minutes, that it took to gather the items for an order with 22 items is approximately 16.06 minutes.

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Complete Question:

Workers at a warehouse of consumer goods gather items from the warehouse to fill customer orders. The number of Items in a sample of orders and the time, in minutes, it took the workers to gather the items were recorded. A scatterplot of the recorded data showed a curved pattern, and the square root of the number of items was taken to create a linear pattern. The following table shows computer output from the least-squares regression analysis created to predict the time it takes to gather items from the number of items in an order.

Predictor                       Coef

Constant                       3.0979

Square root of items    2.7633

R-Sq=96.7%

Based on the regression output, which of the following is the predicted time, in minutes, that it took to gather the items if the order has 22 Items?

a. 7.99

b. 16.06

c. 27.49

d. 17.29

e. 63.89

A) The probability of a randomly selected catch being a mouse caught by Cyd 40%.

b) If Cyd didn't catch the bird, then no other cat did.

c) The probability of a randomly selected is 0.333

d) The probability that a catch being a mouse caught by Greg is 0

e) The probability of a randomly selected catch is a mouse caught by Rom is 0. 2 is verified by the catch made by Ken is a mouse.

F) The probability that a catch which is a mouse was made by Cyd is 40%.

a) The probability of a randomly selected catch being a mouse caught by Cyd can be calculated as follows:

Probability of Mouse caught by Cyd = 0.20

Probability of any catch being a Mouse = 0.50 (given in the problem statement)

Therefore, Probability (Mouse caught by Cyd) = 0.20 / 0.50 = 0.40 or 40%

b) To calculate the probability of a bird not caught by Cyd, we need to subtract the probability of a bird caught by Cyd from 1 (since the event of a bird not caught by Cyd is complementary to the event of a bird caught by Cyd).

Probability of Bird caught by Cyd = 1 - Probability of any catch being a Mouse = 1 - 0.50 = 0.50

Probability of any catch not being a Mouse = 1 - Probability of any catch being a Mouse = 1 - 0.50 = 0.50

Therefore, Probability (Bird caught by Cyd) = 0.50 / 0.50 = 1.

And, Probability (Bird not caught by Cyd) = 1 - 1 = 0.

c) Greg's catches are equally likely to be a mouse, a bird, or a vole. We can calculate the probability of a catch being a mouse caught by Greg as follows:

Given, Probability of Mouse caught by Greg = Probability of Vole caught by Greg = Probability of Bird caught by Greg = 0.45 / 3 = 0.15

Therefore, Total Probability of any catch caught by Greg = 0.15 + 0.15 + 0.15 = 0.45

Hence, Probability (Mouse caught by Greg) = 0.15 / 0.45 = 1/3 or 0.333 (approx.)

d) We are given that the probability of a randomly selected catch being a mouse caught by Ken is 0.5. We need to find the probability that a catch being a mouse is caught by Greg.

So, the probability of any catch being caught by Ken = 50 / 100 = 0.5.

We know that the total probability of any catch caught by Greg is 0.45 (as calculated in part c).

Therefore, Probability (Mouse caught by Greg) = x, Probability (Vole caught by Greg) = x, and Probability (Bird caught by Greg) = 0.45 - 2x (since the probabilities must add up to 0.45).

Probability (Mouse) = Probability (Mouse caught by Ken) + Probability (Mouse caught by Greg)

0.5 = 0.5 + x

x = 0

This means that there is no probability of a mouse being caught by Greg, since all of the mice are already accounted for by Ken.

e) We are given that the probability of a randomly selected catch being a mouse caught by Rom is 0.2. We need to verify if the catch made by Ken is a mouse.

So, the probability of any catch being caught by Rom = 20 / 100 = 0.2.

We know that the probability of a catch being a mouse caught by Ken is 0.5.

Probability of Mouse caught by Rom | Mouse caught by Ken = 1 (since all mice are assumed to be distinct)

Probability (Mouse caught by Ken) = 0.5

Probability (Mouse caught by Rom) = 0.2

Therefore, Probability (Mouse caught by Ken | Mouse caught by Rom) = 1 * 0.5 / 0.2 =0.25 or 25% (approx.)

This means that if we know that Rom caught a mouse, the probability of Ken catching a mouse is actually higher than the overall probability of any catch being a mouse.

f) Finally, we need to find the probability that a catch which is a mouse was made by Cyd. We can use Bayes' Theorem again to calculate this:

Probability (Mouse | Mouse caught by Cyd) = 1 (since all mice are assumed to be distinct)

Probability (Mouse caught by Cyd) = 0.2 (since Cyd catches 20% of all creatures)

Probability (Mouse) = 0.5 (since half of all creatures caught are mice)

Therefore, Probability (Mouse caught by Cyd | Mouse) = 1 * 0.2 / 0.5 = 0.4 or 40%.

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The product of the fractions is 275/20

A fraction can simply be defined as the part of a given whole variable, a whole number or a whole element.

In mathematics, there are different types of fractions, namely;

From the information given, we have that;

To determine the product of the fraction

6 1/4×2 1/5

convert to improper fractions, we get;

25/4 × 11/5

Multiply the numerators

275/4(5)

Multiply the denominator

275/20

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The requried teenager's age is 15 years old.

Let's assume the ages of Deena's three children are a, b, and c (in no particular order). We know that one of them is a teenager, so without loss of generality, let's assume that a is the teenager. Then we have:

a * b * c = 1155

We can use trial and error to find values of a, b, and c that satisfy the equation above and the conditions we've established. One possible set of values is:

a = 15

b = 7

c = 11

You can check that these values satisfy the equation:

15 * 7 * 11 = 1155

and that a is a teenager. Therefore, the teenager's age is 15 years old.

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In this case, the displacement of the particle at time t is given by ∫ v(t) dt, and the displacement after 120 seconds is given by ∫_0^120 v(t) dt.

The integral of |v(t)| over the time interval [0, 120] gives the total distance traveled by the particle during that time.

Specifically, the value of the integral gives us the difference between the velocity of the particle at time t=120 and its velocity at time t=0.

a) The integral 120 ∫ v(t) dt represents the displacement of the particle from its starting point after 120 seconds, assuming that its initial displacement is zero. This can be seen by the fundamental theorem of calculus, which states that if F(x) is an antiderivative of f(x), then ∫ f(x) dx = F(b) - F(a), where a and b are the limits of integration. In this case, the displacement of the particle at time t is given by ∫ v(t) dt, and the displacement after 120 seconds is given by ∫_0^120 v(t) dt.

b) The integral 120 ∫ |v(t)| dt represents the distance that the particle travels in 120 seconds. This is because |v(t)| represents the magnitude of the velocity, or speed, of the particle at time t, regardless of its direction. Thus, the integral of |v(t)| over the time interval [0, 120] gives the total distance traveled by the particle during that time.

c) The integral 120 ∫ a(t) dt represents the change in velocity of the particle over the time interval [0, 120]. This can be seen by the fundamental theorem of calculus, which tells us that if f(x) is the derivative of g(x), then ∫ f(x) dx = g(x) + C, where C is a constant of integration. In this case, a(t) is the derivative of v(t), so the integral of a(t) over the time interval [0, 120] gives us the change in velocity of the particle during that time. Specifically, the value of the integral gives us the difference between the velocity of the particle at time t=120 and its velocity at time t=0.

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The values of x and y in the attached triangle using trigonometric ratios are: x = 59 and y = 51.1

The three primary trigonometric ratios are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

Now, to find the values of x and y in the attached triangle using trigonometric ratios, we have:

29.5/y = tan 30

y = 29.5/tan 30

y = 51.1

Similarly:

29.5/x = sin 30

29.5/0.5 = x

x = 59

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Answer:

Area of shaded region:

[tex]\pi {(4 \sqrt{2} )}^{2} - {8}^{2} [/tex]

[tex]32\pi - 64 = 32(\pi - 2)[/tex]

The area of the 180° sector is  76.93 mi ²

The area of a circle of radius R is given by the formula:

A = pi*R²

Where pi = 3.14

Here the radius is 7 mi, and we want a section of 180°. Remember that the angle in a circle is 360°, then a section of 180° is half a circle, then the area is 0.5 times the one written above.

Then the area will be:

A = 0.5*3.14(7 mi)²

A = 76.93 mi ²

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Answer:

The line of symmetry for the given figure is EF which runs vertically through the center of the arrow. Therefore, the answer is C.

Step-by-step explanation:

The absolute value equation that has a solution set of 3 and 7 is |x-5|= 2.

We have,

The solution sets of the absolute value equation are given as x = {3, 7}.

So, Mean of solution

x₁= (7+3)/2

= 10/2

= 5

and, x₂ = (7-3)/2

= 4/2

= 2

Now, the absolute value equation

|x - x₁| - x₂ = 0

|x -5|-2 = 0

|x-5|= 2

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Answer:

Step-by-step explanation:

2)x= -19  

3) a= -8  

4) x=8

5)x=4

6)n=13

7) k=0

8) p=17

9) b=15

10)n= -19

The correct test statistic for Amanda's significance test would be option B:
z = (0.49 - 0.60) / sqrt(0.49(0.51)/300)

This is because option B includes the sample proportion and the sample size, which are necessary for calculating the test statistic for a significance test involving proportions. The formula for the test statistic for a two-tailed test of a population proportion is:

z = (p - P) / sqrt(P(1 - P) / n)

where p is the sample proportion, P is the hypothesized population proportion, and n is the sample size.

In this case, we are not given the hypothesized population proportion, so we use the sample proportion as an estimate. The formula becomes:

z = (p - P) / sqrt(P(1 - P) / n) = (p - 0.5) / sqrt(0.5(0.5) / n) = (0.49 - 0.5) / sqrt(0.5(0.5) / 300)

Simplifying this expression gives us the test statistic in option B.

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Answer:

The measure of angle B is 80°. B is the correct answer.

Answer:

B. mB = 80°

Step-by-step explanation:

Supplementary angles add to 180 degrees

100 +x = 180

x = 180-100

x = 80 degrees