The teenagers of a school sold 430 tickets. The girls sold 15% more than the boys. How many tickets did each group sell?
Answer:
I think the answer is 247.25, tho I'm not entirely sure
Holly Krech is planning for her retirement, so she is setting up a payout annuity with her bank. She wishes to receive a payout of $1,800 per month for twenty years. She must deposit $218,437.048 and the total amount that Holly will receive from her payout annuity will be $432,000.
A. How large a monthly payment must Holly Krech make if she saves for her payout annuity with an ordinary annuity, which she sets up thirty years before her retirement?
B. how large a monthly payment must she make if she sets the ordinary annuity up twenty years before her retirement?
A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.
B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.
What is the monthly payment required for an ordinary annuity set up 30 years before retirement?To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.
How much must be paid monthly for an ordinary annuity set up 20 years before retirement?For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.
It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.
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help plllllllllllllllllllllsssssssssssss
will give brainlest
Using the Pythagorean Theorem, the lengths are:
CX = 12 units
BD = 13 units
EF = 5 units.
What is the Pythagorean Theorem?Given that in a right triangle, we have c as the hypotenuse (longest side), and a and b as the lengths of the other smaller legs, the Pythagorean Theorem states that: c = √(a² + b²).
We are given the following:
CD = 49 ft
AB = XY = 25 ft
PG = PF = GH = 4 ft
EG = 7 ft
CX = DY
AX = BY = 5 ft
CX = 1/2(CD - XY)
Substitute
CX = 1/2(49 - 25)
CX = 1/2(24)
CX = 12 units
DY = 12 units
Use the Pythagorean Theorem to find BD:
BD = √(BY² + DY²).
Substitute
BD = √(5² + 12²)
BD = 13 units
Use the Pythagorean Theorem to find EF:
EF = √(GH² + EP²)
EP = EG - PG = 7 - 4 = 3
GH = 4
Substitute the values into EF = √(GH² + EP²):
EF = √(4² + 3²)
EF = 5 units.
Thus, applying the Pythagorean Theorem, the lengths are:
CX = 12 units
BD = 13 units
EF = 5 units.
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The 22 students in a health class conducted an experiment in which they each recorded their pulse rates, in beats per minute, before and after completing a light exercise routine. The dot plots below display the results. Beats per minute before exercise Beats per minute after exercise Let and be the standard deviation and range, respectively, of the data before exercise, and let and r1 be the standard deviation and range, respectively, of the data after exercise. Which of the following is true?
A) s1 = s2 and r1 = r2
B) s1 < s2 and r1 < r2
C) s1 > s2 and r1 > r2 D) s1 ≠s2 and r1 = r2
The correct Answer is D
s1 = s2 and r1 = r2
The two data sets have the same range. The first data set has a range of 88 − 56 = 32, and the second data set has a range of 112 − 80 = 32.
What does standard deviation say about range?This relationship is sometimes referred to as the range rule for standard deviation. The range rule tells us that the standard deviation of a sample is approximately equal to one-fourth of the range of the data. In other words s = (Maximum – Minimum)/4.
Which is better range or standard deviation?The standard deviation is a more effective measure of variation than the range. Range of the data is a measure of variation which gives the difference in the maximum and the minimum observation of the dataset. It is only based on two observations, the maximum and the minimum.
Alternatively, it can be seen visually that the ranges are the same because the two dot plots are aligned, the scales of the graphs are the same, and the graphs have the same width. The two data sets have different standard deviations. Both dot plots show distributions that have a mean near the center value of the dot plot. The first dot plot shows most values clustered near the mean, while the second dot plot shows most values farther from the mean. Therefore, the standard deviations of the two data sets are not equal—the data represented by the second dot plot has a greater standard deviation.
Choices A, B, and C are incorrect because they incorrectly assert either that the standard deviations are the same or that the ranges are different.
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In 2021, the Internal Revenue Service (IRS) decreased the deductible mileage cost to 56 cents from 57.5 cents. Find the percent decrease. (Round to the nearest hundredth of a percent)
The deductible mileage cost has reduced by 2.16%
What is a percentage change?
A percentage change compares the difference between the new amount and the old amount to the old amount.
I mean the percentage change is the new deductible mileage cost minus the old deductible mileage cost divided by the old deductible mileage cost
New deductible mileage cost= 57.5 cents
Old deductible mileage cost= 56 cents
percentage decrease=(56-57.5)/57.5
percentage decrease=-2.61%
The negative sign in -2.61% means that there was a percentage decrease in deductible mileage cost by 2.61%
In essence, the deductible mileage cost has been reduced by 2.16%
Hundredth of a percent means two decimal places.
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the sum of the fractions 2/y-3 and 6/y+3 is equal to their
Step-by-step explanation:
Move expression to the left side and change its sign
5
y
−
3
+
10
y
2
−
y
−
6
−
y
y
+
2
=
0
Write
−
y
as a sum or difference
5
y
−
3
+
10
y
2
+
2
y
−
3
y
−
6
−
y
y
+
2
=
0
Factor out
y
and
−
3
from the expression
5
y
−
3
+
10
y
(
y
+
2
)
−
3
(
y
+
2
)
−
y
y
+
2
=
0
Factor out
y
+
2
from the expression
5
y
−
3
+
10
(
y
+
2
)
(
y
−
3
)
−
y
y
+
2
=
0
Write all numerators above the least common denominator
5
(
y
+
2
)
+
10
−
y
(
y
−
3
)
(
y
+
2
)
(
y
−
3
)
=
0
Distribute
5
and
−
y
through the parenthesis
5
y
+
10
+
10
−
y
2
+
3
y
(
y
+
2
)
(
y
−
3
)
=
0
Collect the like terms
8
y
+
20
−
y
2
(
y
+
2
)
(
y
−
3
)
=
0
Use the commutative property to reorder the terms
−
y
2
+
8
y
+
20
(
y
+
2
)
(
y
−
3
)
=
0
Write
8
y
as a sum or difference
−
y
2
+
10
y
−
2
y
+
20
(
y
+
2
)
(
y
−
3
)
=
0
Factor out
−
y
and
−
2
from the expression
−
y
(
y
−
10
)
−
2
(
y
−
10
)
(
y
+
2
)
(
y
−
3
)
=
0
Factor out
−
(
y
−
10
)
from the expression
−
(
y
−
10
)
(
y
+
2
)
(
y
+
2
)
(
y
−
3
)
=
0
Reduce the fraction with
y
+
2
−
y
−
10
y
−
3
=
0
Determine the sign of the fraction
−
y
−
10
y
−
3
=
0
Simplify
10
−
y
y
−
3
=
0
When the quotient of expressions equals
0
, the numerator has to be
0
10
−
y
=
0
Move the constant,
10
, to the right side and change its sign
−
y
=
−
10
Change the signs on both sides of the equation
y
=
10
Check if the solution is in the defined range
y
=
10
,
y
≠
3
,
y
≠
−
2
∴
y
=
10
Answer:
I think "Product" is the answer. Not really sure.
Find the length of the arc
Answer:
A
Step-by-step explanation:
the length of the arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr × \(\frac{120}{360}\)
= 2π × 8 × \(\frac{1}{3}\)
= 16π × \(\frac{1}{3}\) = \(\frac{16\pi }{3}\) m
Find the smallest number a such that A + BB is regular for all B> a.
The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.
A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.
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answer quickly please doing test !!!!!
Answer:
\(2w - \frac{ 7}{4} \)
Step-by-step explanation:
\( \frac{1}{4} \times 8w = 2w \\ \frac{1}{4} \times ( - 7) = \frac{ - 7}{4} \)
Answer: 2w -7/4
Step-by-step explanation:
1 /4(8w − 7)
Apply the distributive property.
1 /4(8w − 7) + 1/4 ⋅ − 7
Cancel the common factor of 4.
Factor 4 out of 8w.
2w + 1/4 ⋅ -7
Combine 1/4 and -7
2w + ((-7)/4)
Move the negative in front of the fraction.
2w − 7/4
(14)(10)(3) + (7)(4)(3)
Answer:
504 is the answer
Which of the following is not a standard metric unit? a. kilogram b. meter c. second d. gram
Exactly D
well i dont know why gram is non standard
hope it helps.
The correct answer is d. gram. The gram is indeed a metric unit; however, it is not considered a standard metric unit in the International System of Units (SI).
It is equal to one thousandth of a kilogram. The kilogram (a), meter (b), and second (c) are all standard metric units and form the basis of the International System of Units (SI). The kilogram is the unit of mass, the meter is the unit of length, and the second is the unit of time. These units are universally recognized and used in scientific, engineering, and everyday measurements.
Therefore, the gram (d) is the correct option as it is not considered a standard metric unit.
The rest of the options are as follows:
a. kilogram: The kilogram is the standard unit for mass in the International System of Units (SI). It is defined as the base unit for mass.
b. meter: The meter is the standard unit for length in the SI. It is defined as the base unit for length and is commonly used to measure distances.
c. second: The second is the standard unit for time in the SI. It is defined as the base unit for time and is commonly used to measure durations and intervals.
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Kaitlin received a $80 gift card for a coffee store. She used it in buying some coffee that cost 8.63 per pound. After buying the coffee, she had 54.11 left on her card. How many pounds of coffee did she buy?
Answer: 3 pounds were bought
Answer:
She bought 3 pounds of coffee.
Step-by-step explanation:
I did 80-54.11=25.89
Then I did 8.63 x 3= 25.89
please help. i dont know how to do it cuz im dumb
Answer:
The image is reflecting in the x axis
Step-by-step explanation:
hope that's what you were looking for. if not, the middle of both of the images is (0, .5)
A passenger train left Orlando traveling 60 mi/hr. After the train
had traveled 100 miles, a freight train started down a parallel
track at 80 mi/hr. Graph the system of linear equations. How long
after the freight train takes off will it catch the passenger train?
What distance had the trains traveled?
d=r.t
After how many hours will the freight train catch the passenger train?
How many miles had the trains traveled?
The 90 km distance between orlando and New York meant that the freight train was closer to the station in New York.
what is linear equations ?A linear equation is one that satisfies the algebraic formula y=mx+b. The foregoing sentence is sometimes referred to as a "linear equation with two variables" because y and x are variables. Bivariate linear equations are two-variable linear equations. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
given
The New York to Boston train was traveling farther and quicker.
Even though it was delayed and moved more slowly, the train from Boston to New York is closer to New York.
1.5 hours from the New York station, the two trains crossed paths.
By this time, the passenger train from New York to Boston was 120 kilometers away from the station in New York.
The 90 km distance between orlando and New York meant that the freight train was closer to the station in New York.
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5756645+456775(5667+567668)56+567[68655667-67767677]= ?
the answer is, 14666074545975
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.8 inches, and standard deviation of 7.5 inches. A) What is the probability that a randomly chosen child has a height of less than 62.95 inches? Answer= (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 44.4 inches? Answer= (Round your answer to 3 decimal places.) Calculator Submit Question Question 10
Answer:
A) 0.889
B) 0.895
Step-by-step explanation:
Mean of 53.8 inches, and Standard deviation of 7.5 inches.
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
A) What is the probability that a randomly chosen child has a height of less than 62.95 inches?
For x < 62.95
z = 62.95 - 53.8/7.5
z = 1.22
Probabilityvalue from Z-Table:
P(x<62.95) = 0.88877
Approximately = 0.889
B) What is the probability that a randomly chosen child has a height of more than 44.4 inches?
For x > 44.4 inches
z = 44.4 - 53.8/7.5
z = -1.25333
Probability value from Z-Table:
P(x<44.4) = 0.10504
P(x>44.4) = 1 - P(x<44.4) = 0.89496
Approximately = 0.895
what is the probability that a randomly chosen person has either no opinion, no confidence, or very little confidence in small businesses? find the similar probability for big businesses.
The probability that a randomly chosen person has either no opinion, no confidence, or very little confidence in small businesses can be found by adding the probabilities of each of these individual events occurring.
This can be done using the formula P(A or B or C) = P(A) + P(B) + P(C) - P(A and B) - P(A and C) - P(B and C) + P(A and B and C).
Similarly, the probability for big businesses can be found using the same formula.
It is important to note that the probabilities of these events occurring must be known in order to calculate the overall probability.
Without this information, it is not possible to determine the probability that a randomly chosen person has either no opinion, no confidence, or very little confidence in small or big businesses.
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A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring.
Select one:
True
False
This statement is true
A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring. Probability is the measure of the likelihood of a random event happening, and it is expressed as a number between 0 and 1, with 0 implying that the event would never occur and 1 implying that it is certain to happen.
The probability of an event happening is referred to as its likelihood. Probability can be expressed as a fraction, percentage, or decimal, and it is a vital tool in statistics. It is frequently utilized in mathematics to estimate real-world situations that involve random variables such as coin flips, weather patterns, stock market trends, and even sporting events.
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PLZ HELP!!! 20 POINTS how many solutions does this system have? x minus 3 y = 4. Negative 2 x + 6 y = 3. one two an infinite number no solution
Answer:
No solutions.
Step-by-step explanation:
x minus 3y = 4
x - 3y = 4
2x - 6y = 8
negative 2x + 6y = 3
-2x + 6y = 3
2x - 6y = 8
-2x + 6y = 3
(2x - 2x) + (-6y + 6y) = 8 + 3
0 + 0 = 11
0 = 11
Since this statement is false, the system has no solutions.
Hope this helps!
The statement; 'x minus 3 y = 4. Negative 2 x + 6 y = 3 has no solution'
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given system of equation;
x minus 3y = 4 means x - 3y = 4
2x - 6y = 8
negative 2x + 6y = 3 means -2x + 6y = 3
Solving;
2x - 6y = 8
-2x + 6y = 3
(2x - 2x) + (-6y + 6y) = 8 + 3
0 + 0 = 11
0 = 11
Since this statement is false, the system has no solutions.
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how to prove bpt theorem
Answer:
use similar triangles
Step-by-step explanation:
The Basic Proportionality Theorem states that a line parallel to the base of a triangle divides the sides proportionally.
To prove it, use the relations related to angles at a transversal of parallel lines to show the triangles are similar. Similar triangles have corresponding sides that are proportional.
a regular pentagon has an apothem of 3.2m and an area of 27.2^ m2. what is the length of one side of the pentagon
The length of one side of the regular pentagon for the given area and length of apothem is equal to 3.4 meters.
In a regular pentagon,
measure of apothem of a regular pentagon = 3.2m
Area of regular pentagon = 27.2 square meter
Use the formula for the area of a regular pentagon we have,
A = (5/2) × a × ap
where A is the area of the pentagon,
a is the length of one side,
and ap is the apothem the distance from the center of the pentagon to the midpoint of a side.
The apothem is 3.2 m and the area is 27.2 m², so we can plug in these values and solve for a,
⇒ 27.2 = (5/2) × a × 3.2
Simplifying,
⇒ 27.2 = 8a
⇒ a = 27.2/8
= 3.4
Therefore, the length of one side of the regular pentagon is 3.4 meters.
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I don’t get what I’m supposed to do can someone explain?
Answer:
You will have to create a few models about how light and mechanical waves are absorbed and reflected through different substances. Then you will make two brief paragraphs... the first one explaining the similarities and differences of the light waves on the materials, the second will explain why the materials with their specific properties are suited for their specific functions.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
In one of the trailers the characters, narrowly escape the displacer beast by jumping into what?
The characters in the trailer would need to reach an initial velocity of at least 13.4 m/s in order to safely jump the crevice and escape the displacer beast.
In one of the trailers, the characters narrowly escape the displacer beast by jumping over a crevice. To calculate the minimum velocity required for the jump, we can use the equation for the distance of an object thrown vertically upwards:
v1 = √(2gh)
where v1 is the initial velocity, g is the acceleration due to gravity (9.81 m/s2), and h is the height of the crevice.
For example, if the crevice is 6 meters deep, the required initial velocity to safely jump over it would be:
v1 = √(2 * 9.81 * 6)
v1 = 13.4 m/s
Therefore, the characters in the trailer would need to reach an initial velocity of at least 13.4 m/s in order to safely jump the crevice and escape the displacer beast.
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Complete question:
How do you calculate the minimum velocity required to jump over a crevice to escape a displacer beast?
Hich of the following is equivalent to 5 square root 13^3?
Answer:
I believe the answer is 65 square root 13, if im wrong pls give me the options to choose from
the clock shows when Jane went to bed last night. witch clock shows the same time
Answer:
where the picture is how should we give ans
The angle of elevation to a nearby tree from a point on the ground is measured to be 54°. How tall is the tree if the point in the ground is 52 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
The tree if the point in the ground is 52 feet from the tree is 81.25 feet tall.
How to find height?Using the tangent function to solve this problem.
Let h be the height of the tree.
Then, using the angle of elevation of a nearby tree from a point on the ground measured to be 54° and the height of the tree if the point in the ground is 52 feet from the tree:
tan(54°) = h/52
Solving for h:
h = 52 × tan(54°)
Using a calculator:
h ≈ 81.25 feet
Therefore, the height of the tree is approximately 81.25 feet.
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The sum of interior angles of a polygon is 2520°. How many sides does the polygon have?
What is the relationship between the graphs of f(x) = x^2 and g(x) = x^2 + 6?
Consider the following vectors: →a =5 −1 3 3→b = 5 0 1 0→c = −10 3 −3 −7 For each of the following vectors, determine whether it is in span{→a, →b, →c}. If so, express it as a linear combination using a, b, and c as the names of the vectors above. →v1 = 5 −3 2 7→v2 = 2 7 6 −7→v3 = 30 −7 10 17
1. →v1 = (5, -3, 2, 7) is in the span of {→a, →b, →c} with coefficients x = -6, y = -1, and z = 2.
2. →v2 = (2, 7, 6, -7) is not in the span of {→a, →b, →c}.
3. →v3 = (30, -7, 10, 17) is not in the span of {→a, →b, →c}.
To determine whether each vector is in the span of {→a, →b, →c}, we need to check if it can be expressed as a linear combination of →a, →b, and →c. If it can, we can find the coefficients that give the linear combination. Let's go through each vector:
1. →v1 = (5, -3, 2, 7)
To express →v1 as a linear combination of →a, →b, and →c, we need to find coefficients x, y, and z such that →v1 = x→a + y→b + z→c.
Solving the equation, we get:
5→a - 3→b + 2→c = (5, -3, 2, 7)
(5, -1, 3, 3) - 3(5, 0, 1, 0) + 2(-10, 3, -3, -7) = (5, -3, 2, 7)
(5, -1, 3, 3) - (15, 0, 3, 0) + (-20, 6, -6, -14) = (5, -3, 2, 7)
(5 - 15 - 20, -1 + 0 + 6, 3 + 3 - 6, 3 + 0 - 14) = (5, -3, 2, 7)
(-30, 5, 0, -8) = (5, -3, 2, 7)
Since (-30, 5, 0, -8) is equal to (5, -3, 2, 7), →v1 is indeed in the span of {→a, →b, →c}.
2. →v2 = (2, 7, 6, -7)
Following the same process as above, we solve for the coefficients:
2→a + 7→b + 6→c = (2, 7, 6, -7)
(2, -7, 6, 6) + 7(5, 0, 1, 0) + 6(-10, 3, -3, -7) = (2, 7, 6, -7)
(2, -7, 6, 6) + (35, 0, 7, 0) + (-60, 18, -18, -42) = (2, 7, 6, -7)
(2 + 35 - 60, -7 + 0 + 18, 6 + 7 - 18, 6 + 0 - 42) = (2, 7, 6, -7)
(-23, 11, -5, -36) ≠ (2, 7, 6, -7)
Since (-23, 11, -5, -36) is not equal to (2, 7, 6, -7), →v2 is not in the span of {→a, →b, →c}.
3. →v3 = (30, -7, 10, 17)
Using the same approach, we solve for the coefficients:
30→a - 7→b + 10→c = (30, -7, 10, 17)
(30, -7, 10, 17) - 7(5, 0, 1, 0) + 10(-
10, 3, -3, -7) = (30, -7, 10, 17)
(30, -7, 10, 17) - (35, 0, 7, 0) + (-100, 30, -30, -70) = (30, -7, 10, 17)
(30 - 35 - 100, -7 + 0 + 30, 10 + 7 - 30, 17 + 0 - 70) = (30, -7, 10, 17)
(-105, 23, -10, -53) ≠ (30, -7, 10, 17)
Since (-105, 23, -10, -53) is not equal to (30, -7, 10, 17), →v3 is not in the span of {→a, →b, →c}.
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The temperature inside of a storage building in degrees Fahrenheit can be modeled using the equation f(t)=-8.3cos((pi/5)•t+63.7 where t is the number of hours since midnight
The temperature at midnight is 55.4 degrees Fahrenheit
How to determine the temperature at midnight?The information that completes the question is "At what temperature is the building at midnight?"
The function is given as:
f(t) = -8.3cos(π/5)t + 63.7
At midnight, t = 0.
So, we have:
f(0) = -8.3cos(π/5) * 0 + 63.7
Evaluate the product
f(0) = -8.3cos(0) + 63.7
Evaluate the expression
f(0) = 55.4
Hence, the temperature at midnight is 55.4 degrees Fahrenheit
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