Answers
The results of the equations are listed below:
T' = 20 °C A ≈ 113.097 m² A = 100 ft² s = 312.5 mi C' = $ 120 C' = $ 40 s = 27.5 mi T' = 100 °C C' = $ 60 A = 112 ft²How to use equations to find required information?
In this problem we must make use of given formulas and substitute all known variables to determine all the required information:
Case 1
The temperature in Celsius scale in terms of the temperature in Fahrenheit scale is defined by the following formula:
T' = (5 / 9) · (T - 32)
T' = (5 / 9) · (68 - 32)
T' = 20 °C
Case 2
The area of the circle in terms of its radius is presented below:
A = π · r²
A = π · (6 m)²
A ≈ 113.097 m²
Case 3
The area of the triangle as a function of its base and its height is shown in the following formula:
A = 0.5 · b · h
A = 0.5 · (8 ft) · (25 ft)
A = 100 ft²
Case 4
The traveled distance is the product of the velocity and time:
s = v · t
s = (62.5 mi / h) · (5 h)
s = 312.5 mi
Case 5
The simple interest formula is equal to the product of the invested amount, interest rate and time divided by 100:
C' = (C · r · t) / 100
C' = [(300) · (5) · (8)] / 100
C' = $ 120
Case 6
C' = (C · r · t) / 100
C' = [(200) · (2) · (10)] / 100
C' = $ 40
Case 7
s = v · t
s = (45 mi / h) · (0.5 h)
s = 27.5 mi
Case 8
T' = (5 / 9) · (T - 32)
T' = (5 / 9) · (212 - 32)
T' = 100 °C
Case 9
C' = (C · r · t) / 100
C' = [(1200) · (2.5) · (2)] / 100
C' = $ 60
Case 10
The area of the rectangle is equal to the product of its base and its height:
A = b · h
A = (14 ft) · (8 ft)
A = 112 ft²
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Related Questions
Lcm and gcf of 40 and 48 (need a solution)
Answers
GCF=8
Answer:
LCM = 240
GCF = 8
Step-by-step explanation:
Least common multiple (LCM) is the smallest number that both 40 and 48 go into
Greatest common factor (GCF) is the largest number that can go into 40 and 48.
What is the answer to this-
Answers
Answer:
n = -0.4, or n = -2/5.
Step-by-step explanation:
They are the same btw.
Assume you have a list of numbers 12, 10, 32, 3, 66, 17, 42, 99, 20 write a loop that prints each of the numbers on a new line. python
Answers
Python is a computer programming language often used to build websites and software, automate tasks, and conduct data analysis. Python is a general-purpose language, meaning it can be used to create a variety of different programs and isn't specialized for any specific problems.
Python 3 code:
function to print the numbers in list
def print_list(List):
for entry in List:
print(entry)
function to print the numbers and squares in list
def print_squares(List):
for entry in List:
print("Square of ", entry, " = ", entry*entry)
Call the functions now
input_list = [12,10,32,3,66,17,42,99,20]
print_list(input_list)
print_squares(input_list)
Sample Output:
12 10 32 3 66 17 42 99 20 Square of 12 = 144 Square of 10 = 100 Square of 32 = 1024 Square of 3 = 9 Square of 66 = 4356 Square of 17 = 289 Square of 42 = 1764 Square of 99 = 9801 Square of 20 = 400
Python 2.7 code:
function to print the numbers in list
def print_list(List):
for entry in List:
print entry
function to print the numbers and squares in list
def print_squares(List):
for entry in List:
print "Square of ", entry, " = ", entry*entry
Call the functions now
input_list = [12,10,32,3,66,17,42,99,20]
print_list(input_list)
print_squares(input_list)
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which expression is equivalent to (3x+2)(3x-5)?
A. 6x - 3
B. 9x^2 - 10
C. 9x^2 - 3x - 10
D. 9x^2 - 9 - 10
Answers
Answer: 9x^2-9x-10 ==> D
Step-by-step explanation:
(3x+2)(3x-5)=
3x*3x + (-5)(3x) + 2*3x + (-5)(2)=
9x^2 - 5(3x) + 6x - 5(2)=
9x^2-15x+6x-10=
9x^2-15x+6x-10= 9x^2-9x-10 ==> D
=================================================
Explanation:
Let's make
y = 3x+2
So we can replace the (3x+2) with y
We go from (3x+2)(3x-5) to y(3x-5)
Distribute that y term through
y(3x-5)
y(3x) + y(-5)
3xy - 5y
Then plug in y = 3x+2 and distribute two more times
3xy - 5y
3x( y ) - 5( y )
3x( 3x+2 ) - 5( 3x+2 )
3x(3x) + 3x(2) - 5(3x) - 5(2)
9x^2 + 6x - 15x - 10
9x^2 - 9x - 10
which seems to point to choice D assuming the -9 in the middle is supposed to be -9x
------------------
Side note: Alternative methods are the FOIL rule and the box method.
Find the exact equation of the function graphed to the right. Show your work. Vertex: (-2,4) x intercepts:(-5,0) (1,0) y intercept (0,2)
Answers
The equation for the parabola Is; y = -²/₅[(x + 5)(x - 1)]
How to Interpret a Quadratic Graph?
We are given the following;
x-intercepts = (-5,0) and (1,0)
y - intercept = (0, 2)
We know that the x-intercepts are the roots of the quadratic equation while the y-intercept is the value of y when x is zero.
Thus;
(x + 5) and (x - 1) are factors of the given quadratic equation.
f(x) = a(x + 5)(x - 1)
At y-intercept of (0,2), we have;
a(0 + 5)(0 - 1) = 2
a = -2/5
Thus we can write the equation for the parabola as;
y = -²/₅[(x + 5)(x - 1)]
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11. Suppose you write and solve an equation to determine the amount of money m you have in your bank
account after several weeks. You find that m = -36. Choose any of the following interpretations of this
value which are correct.
The bank owes you $36.
The account has a balance less than $0.
You overdrew on the account by $36.
The account has a positive balance.
Answers
Answer:It means you would have spent $36 below zero and now you owe the bank some money
Step-by-step explanation:
20% in fraction form
Answers
20/100
That is the answer if u want it simplified it is 1/5
Answer:
20/100 simplified is 1/5
Step-by-step explanation:
it is the fraction form
I need help with this its still confusing
Answers
Answer:
64 and 13 I hope this helps
Step-by-step explanation:
in a sample of 200 households, the mean number of hours spent on social networking sites during the month of january was 55 hours. in a much larger study, the standard deviation was determined to be 7 hours. assume the population standard deviation is the same. what is the 99% confidence interval for the mean hours devoted to social networking in january? (2 points) the 99% confidence interval ranges from 53.73 to 56.27 hours. the 99% confidence interval ranges from 7 to 55 hours. the 99% confidence interval ranges from 54.51 to 55.49. the 99% confidence interval ranges from 55 to 60 hours.
Answers
The correct option is A) The 99% confidence interval ranges from 53.73 to 56.27 hours.
The 99% confidence interval for the mean hours devoted to social networking in January ranges from 53.73 to 56.27 hours.
What is confidence interval?In statistics, a confidence interval denotes the likelihood that a population parameter would then fall between two specified values.
A confidence interval is a set of values bounded both above and below the mean of a statistic that are likely to contain an unknown parameter. The proportion of probability, or predictability, that the confidence interval will contain the real population parameter when a random sample is drawn many times is referred to as the confidence level.sample size 'n' =200
Mean 'x' = 55 hours
Standard deviation (Population) = 7 hours
For 99% confidence level
Z critical value = 2.58
Margin of error = ±2.58(std error)
Now, compute the standard error
Standard error = 7/√n
=7/√200
= 0.495
Thus, margin of error = ±0.495(258) = 1.28
Now, calculate the Confidence interval;
Confidence interval = (55 - 1.28, 55 + 1.28)
= (53.72, 56.28)
Confidence interval = (53.73, 56.27) [approx.]
Therefore, the confidence level lies between 53.73, 56.27) [approx.]
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The correct question is-
In a sample of 200 households, the mean number of hours spent on social networking sites during the month of January was 55 hours. In a much larger study, the standard deviation was determined to be 7 hours. Assume the population standard deviation is the same. What is the 99% confidence interval for the mean hours devoted to social networking in January?
A) The 99% confidence interval ranges from 53.73 to 56.27 hours.
B) The 99% confidence interval ranges from 7 to 55 hours.
C) The 99% confidence interval ranges from 54.51 to 55.49 hours.
D) The 99% confidence interval ranges from 55 to 60 hours.
one of the subsets of set n and set g is a Ø true or false?
Answers
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
An empty set is subset of each and every possible set, as it has no elements in it, which is why the given statement is " True "
please help me im begging ANYONE
Answers
Answer:
B
Step-by-step explanation:
Answer B is the result of simplifying
Juliana wants to write the number twenty thousand, one hundred ninety in expanded notation. Which of the following would complete the expression? Select all that apply.
2x? + 1x100 + 9x10
A.1,000
B. 10 to the 4th power point
C. 100,000
D. 10 to the 3rd powerpoint
E. 10,000
Answers
The option that would complete the given expression is; Option B: 10 to the fourth power
How to write a number is Expanded Notation?
We are told that Juliana wants to write the number twenty thousand, one hundred ninety in expanded notation.
This can be broken down as;
20,190
This can be broken further down into;
20000 + 100 + 90
Writing in expanded notation gives;
(2 * 10⁴) + (1 * 10²) + (9 * 10¹)
Thus, we can say that the option that would complete the given expression is; Option B: 10 to the fourth power
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Please help in this questions there a pic for it.!
For 13 through 15 find the final answer
16 Just put final two answers, separate answers with a comma
Please help I really need it.
Answers
The amount of tax deductions in one payment period and one year based on a Social Security tax rate of 6.2% and Medicare tax rate of 1.45% are;
13. Kim's weekly Medicare deductions is $7.888
Her annual Medicare deductions is $410.176
14. Jeffrey's annual Social Security tax deductions is $3,517.0616
15. Kareem's annual Medicare tax deductions is $606.97
16. A. Parker's annual Social Security tax deductions is $4,836
B. His annual Medicare tax deductions is $1,131
Which method can be used to calculate the tax deductions?According to the accounting firm BGM website,in the year 2022, an employee is expected to pay a tax of 6.2% of the first $147,000 of wages, for Social Security, and a Medicare tax of 1.45% of the first $200,000
13. Kim's gross weekly salary is $544.
Given that 544 × 52 = 28,288 < 200,000, we have;
Kim's Medicare deduction for one pay period is 0.0145 × $544 = $7.888
Kim receives her payment weekly, therefore, multiplying by 52 gives;
Annual Medicare tax;
52 × $7.888 = $410.176
14. Jeffrey's semimonthly salary = $2,181.80
Jeffrey's tax deductions for Social Security for one pay period is therefore;
0.062 × $2,181.80 = $135.27160
The number of semimonthly payment periods in a year = 26
Jeffrey's annual Social Security tax deductions is therefore;
26 × $135.27160 = $3,517.061615. Kareem's gross biweekly salary is $1,610
Kareem's Medicare deductions per pay period is therefore;
0.0145 × $1,610 = $23.345
The number of biweekly pay periods in a year is 26
Kareem's total Medicare deductions for the year is therefore;
$23.345 × 26 = $606.9716. Parker's gross monthly salary is $6,500
A. Parker's Social Security deductions for one month is therefore;
0.062 × $6,500 = $403
The deductions in a year is therefore;
$403 × 12 = $4,836B. Parker's Medicare deductions for one month is given by the equation;
0.0145 × $6,500 = $94.25
Parker's Medicare deductions for one year is therefore;
12 × $94.25 = $1,131Learn more about tax deduction calculations here:
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Graph the equation y=-x^2-12x-35 on the accompanying set of axes. You must plot 5 points including the roots and the vertex
Answers
Please check the image attached aside with the graph of the quadratic equation.
How to graph a quadratic equation by matching three pointsIn this problem we have a quadratic equation, of which we should plot the graph by matching five points. We can make use of its vertex, two roots, y-intercept and other point. First, determine the vertex of the quadratic function:
- x² - 12 · x - (35 + y) = 0
x² + 12 · x + (35 + y) = 0
12² - 4 · 1 · (35 + y) = 0
144 - 4 · (35 + y) = 0
144 - 140 - 4 · y = 0
4 · y = 4
y = 1
- x² - 12 · x = 36
x² + 12 · x + 36 = 0
(x + 6)² = 0
x = - 6
The vertex of the quadratic equation is (x, y) = (- 6, 1).
Second, calculate the roots of the quadratic equation:
- x² - 12 · x - 35 = 0
x² + 12 · x + 35 = 0
(x + 5) · (x + 7) = 0
The roots of the quadratic equation are (x, y) = (- 5, 0) and (x, y) = (- 7, 0).
Third, determine the y-intercept of the quadratic equation:
y = - 0² - 12 · 0 - 35
y = - 35
The y-intercept of the quadratic equation is (x, y) = (0, - 35).
And fourth, find another point by evaluating the quadratic equation:
y = - 1² - 12 · 1 - 35
y = - 48
The remaining point is (x, y) = (1, - 48).
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Find the value of the ratio (red to blue) of the perimeters of the similar figures. Write the ratio as a fraction in simplest form.
Answers
Answer:
9/7
Step-by-step explanation:
9 red for every 7 blue can't be reduced
RS=6y+3,ST=5y+9 and RT=78
What is are and ST
Answers
(2x6)^3/2 in simplest form
Answers
(2x6)^3/2 in it's simplest form is equal to 41.56. See the computation below.
What is the simplification of the above expression?Using BODMAS, we say
(2 x 6) = 12
12^(3/2)
= 41.5692
[tex]$\approx$[/tex] 41.56
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Find the circumference of a circle with radius, r = 9.5m.
Give your answer in terms of pi
Answers
The circumference of a circle with radius, r = 9.5m is 19π
What is circumference of circle?
The perimeter of a circle or ellipse is its circumference. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter.
What does a circle's circumference mean?
The complete length of a circle's arc is known as its circumference. The circumference of the circle is another name for it. The radius of the circle is the distance measured from any point on the circle to its center.
Given,
radius of the circle = 9.5m
The formula to calculate the circumference is -
C = 2πr
where r = radius of the circle
⇒ 2 × π × 9.5
⇒ 19π
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(write each as an algebratic expression) a cubed is equal to 31
Answers
The maximum speed, in miles per
hour, of a cheetah is 18 more than 3 times
If the maximum speed of a cheetah is
the maximum speed of a hippopotamus.
75 miles per hour, which equation could be
used to find the maximum speed of a
hippopotamus h? (Lesson 1-2)
A. h= 3(75) + 18
B. 75=3h
C. 75 = 3h + 18
D. 18 + 75 = 3h
Answers
The equation could be used to find the maximum speed of a hippopotamus h is C. 75 = 3h + 18
The question has to do with linear equation
What is a linear equation?A linear equation is a mathematical expression in which the highest power of the unknown is 1.
How to find the equation for the maximum speed of the hippopotamusLet
x = speed of cheetah and h = speed of hippopotamusGiven that the maximum speed, in miles per hour, of a cheetah is 18 more than 3 times the maximum speed of the hippopotamus
Now, since the maximum speed of the hippopotamus is h, 3 times the maximum speed of the hippopotamus is 3h.
Since the cheetah is 18 more than 3 times the maximum speed of the hippopotamus, we have that
x = 3h + 18
Substituting x = 75 into the equation, we have
75 = 3h + 18
So, the equation could be used to find the maximum speed of a hippopotamus h is C. 75 = 3h + 18
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The ratio of circumference/diameter for all circles is pie. what is the ratio of force/mass for all freely-falling bodies?
Answers
The ratio of circumference/diameter for all circles is π. And the ratio of force/mass for all freely-falling bodies will be g.
What is the circumference of a circle?Let d be the diameter of the circle. The circumference of the circle will be
C = πd units
The ratio of circumference to diameter for all circles is pie.
C/D = πd / d
C/D = π
Then the ratio of force to mass for all freely-falling bodies will be
The force acting on a free-falling body of mass (m) is mg. Then we have
Force/Mass = mg / m
Force/Mass = g
Where g is the acceleration due to gravity.
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A vinyl decal shop charges a set-up fee of $25.00 and $5.00 for each decal printed. donna is ordering one decal for each of the 6 cheerleaders. if x decals are ordered, the total cost of the set-up fee and decals can be represented by f\left(x\right)=5x+25f(x)=5x+25. what are the range values for this situation?
Answers
The range of the situation is 30 to 55.
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used when you do not know the exact number in a calculation.
Given:
A vinyl decal shop charges a set-up fee of $25.00
$5.00 for each decal printed.
as, f(x)=5x+25 represents the total cost of the set-up fee
we have 6 cheerleaders
put x= 1
5x+25 = 5+25 = 30
and x=6
5x+25= 5*6+25= 30+25= 55
Hence, the range is 30 to 55.
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Given a function f(x) = m/x-1 + n, where f(-2) = 1 and f(4) = 3. Find the values of m and n
Answers
We get the values of m as 1 and n as 0.
We are given a function:
f(x) = m / (x - 1) + n
We are also given that:
f (-2) = 1 and f (4) = 3
We have to find the value of m and n.
f (-2) = m (2 - 1) + n
1 = m + n
n = 1 - m
f (4) = m / (4 - 1) + n
3 = 3 m + n
3 = 3 m + 1 - m
3 = 2 m + 1
2 m = 3 - 1
2 m = 2
m = 2 / 2
m = 1
m + n = 1
1 + n = 1
n = 0.
Therefore, we get the values of m as 1 and n as 0.
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Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed
2(multiplicity 2) 5+i (multiplicity 1)
Answers
The polynomial function will be y = (x⁴-14x³+70x²-144x+104)
2 and 5+i are the roots of the given polynomial and the multiplicity of 2 and 5+i are 2 and 1 respectively.
Thus, the general form of the polynomial will be given as:
y = (x-2)² (x-(5+i)) (x-(5-i)) [as (5-i) is conjugate of (5+i)]
y = (x²+4-4x) (x-5-i) (x-5+i)
y = (x²-4x+4) (x²-5x+xi-5x+25-5i-xi+5i-i²)
y = (x²-4x+4) (x²-10x+25+1) [as i²= -1]
y = (x²-4x+4) (x²-10x+26)
y = (x⁴-10x³+26x²-4x³+40x²-104x+4x²-40x+104)
y = (x⁴-14x³+70x²-144x+104)
Thus, the polynomial is y = (x⁴-14x³+70x²-144x+104)
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What is the answer to this problem?
Answers
Consider the set of ordered pairs (q, T), where T is the total value of q quarters in dollars, up to $1.50 in quarters (inclusive).
In the situation above, the domain is [Select] and the range is [Select].
Answers
The domain q is a set of real numbers as(0, 0.25, 0.50, 0.75, 1.00, 1.25, 1.50).
The range is going to be a set of real numbers from 0 to 6.
What is the range and domain?The domain of a function is the set of input values that we are allowed to plug into our function. This set is the x-values in a function.
The range of a function is the set of output values that the function assumes.
Now, we are told that there is a set of ordered pairs (q, T), where T is the total value of q quarters in dollars, up to $1.50 in quarters
Now, from conversions, we know that 1 quarters is equal to 0.25 dollar.
Thus, the domain q is a set of real numbers as(0, 0.25, 0.50, 0.75, 1.00, 1.25, 1.50).
The maximum output value will be; 1.5/0.25 = 6
Meanwhile, the range is going to be a set of real numbers from 0 to 6.
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These numbers form an addition and subtraction fact family.
4, 2, 6
Choose the fact family formed by these numbers.
OA 2+6=8
8-6=2
2+2=4
4-2=2
OB. 2+4= 6
6-4=2
OC 4+2=6
6-2=4
OD. 4+2=6
6-2=4
2+4=6
6-4=2
Answers
The correct family is option D.
To understand this problem we must be aware of the concept of addition and subtraction and also BODMAS rules which applies in an linear equation.
The numbers given here are 4,2 and 6.
We can see here that on adding 4 and 2 we get 6;
4+2=6
And on subtracting 2 from 6 we get 4;
6-2=4
Also we can see here that on subtracting 4 from 6 we get 2;
6-4=2.
These three relations are true for the given numbers.
And we can see that option D clearly fits the answer.
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A car travels 100 meters in 5 seconds. What is the speed of the car?
speed = distance over time; 1 mile = 1609 meters
Answers
Answer:
20 m/s
Step-by-step explanation:
speed = 100m /5s = 20 m/s
= 72 km/hr
= 72 km / hr * 1 mile / 1.609 km = 44.7 mph
What is 54 as a percentage of 216?
%
Answers
Answer:
54 as a percentage of 216% is 116.64.
Step-by-step explanation:
100% of 54 is 54 so 54 x 2 would be 108. We have solved 200% of it now for the 16%. The percentage of 54 of 16% would be 8.64. Now add up all we have learned.
108 + 8.64 = 116.64
Please help due soon.
Answers
Answer:
-3x>24
Step-by-step explanation:
-3x-10>14
now we add 10 to both sides, 10+14 is 24
so, the missing step is -3x>24