The acute angle formed by the hands of a clock at 4:20a.m is 10°.
For the minute hand, we can compute that, for its every move, it covers 6 degrees. And for the hour hand, each move covers 30 degrees.
A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.
The angle between the hour's hand and the minute hand when the clock shows 4:20 pm can be calculated by using the formula:
Angle=|11/2 M-30H|
where M= minute H= hour's
Here M=20 H=4
Therefore we get the angle |11/2(20)- 30*4|=|110-120|=|-10°|=10°
Hence, 10° is the correct answer.
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The value of Kensington's car decreases in Value according to the exponential decay function
V = Pe-0. 12t , where Vis the current value of the vehicle, t is the number of years
Kensington has owned the car and P is the purchase price of the car, $20,000. To the
nearest dollar, what will be the value of Kensington's car in 8 years?
If value of Kensington's car decreases in Value according to the exponential decay function "V = Pe^(-0. 12t)" , then value of Kensington car after 8 years is = $7658 .
The value of the Kensington car is decreasing according to the function ;
the exponential decay function is : V = Pe^(-0. 12t) ;
the purchase Price(P) of the car is = $20000 ;
we have to find the value of Kensington's car in 8 years ;
So , we substitute the value of P = 20000 and t = 8 years in the exponential decay function ,
we get ;
V = 20000 × e^(-0. 12 × 8)
V = 20000 × e^(-0.96)
V = 20000/e^(0.96)
Simplifying further ,
V = 7657.8577 ,
V ≈ $7658 .
Therefore , the value of the car after 8 years is $7658 .
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What are all values of x for which the graph of y = x^4 - 6x^2 + x is concave downward? Show your work and justify your answer.
Answer:
A function is concave downward if its second derivative is negative. To find the values of x for which the graph of y = x^4 - 6x^2 + x is concave downward, we need to find the values of x for which the second derivative of y is negative.
The second derivative of y = x^4 - 6x^2 + x is y'' = 12x^2 - 12x
To find the values of x for which y'' is negative, we need to find the roots of the equation 12x^2 - 12x = 0.
We can factor the equation as: 12x(x-1) = 0
which gives us x = 0 and x = 1 as the roots.
Now, we need to test the sign of the second derivative in the intervals between the roots.
In the interval (0,1)
y'' = 12x^2 - 12x is positive, therefore the function is not concave downward in this interval.
In the interval (-infinity,0)
y'' = 12x^2 - 12x is negative, therefore the function is concave downward in this interval.
In the interval (1,infinity)
y'' = 12x^2 - 12x is negative, therefore the function is concave downward in this interval.
Therefore, the values of x for which the graph of y = x^4 - 6x^2 + x is concave downward are all values of x less than 0 or greater than 1.
if you had only 5 and 11 cent stamps. whats the smallest number that would be impossible to make with those stamps.
If you had only 5 and 11 cent stamps, it would be impossible to make a postage stamp for any amount less than 16 cents.
This is because 16 cents is the smallest amount that can be made with those two denominations of stamps.
To prove this, let's start by looking at the possible combinations of 5 and 11 cent stamps that can be used to make a postage stamp:
5 cent stamps x 11 cent stamps
1 x 0 = 0
1 x 1 = 11
2 x 0 = 10
2 x 1 = 16
As you can see, the smallest possible combination of 5 and 11 cent stamps is 2 five cent stamps and 1 eleven cent stamp, which totals 16 cents. Therefore, it is impossible to make a postage stamp for any amount less than 16 cents using only 5 and 11 cent stamps.
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DE is
midsegment of AABC. Find the value of x
B
X
The length of x in the triangle is 8 units.
How to find the side of a triangle with mid segment?A midsegment is the line segment connecting the midpoints of two sides of a triangle.
The midsegment theorem states that a line segment connecting the midpoints of any two sides of a triangle is parallel to the third side of a triangle and is half of it
Therefore, DE is the mid segment of the triangle ABC. The value of x can be found as follows:
Using the mid segment principle,
BE = EC
BD = DA
Therefore,
x = 8 units
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When parking a car in a downtown parking lot, drivers pay according to the number of hours or fraction thereof. The probability distribution of the number of hours cars are parked has been estimated as follows:
A. Mean=
B. Standard Deviation=
The cost of parking is 5 dollars per hour. Calculate the mean and standard deviation of the amount of revenue each car generates.
A. Mean=
B. Standard Deviation
col1 X 1 2 3 4 5 6 7 8
col2 P(X) 0. 229 0. 113 0. 114 0. 076 0. 052 0. 027 0. 031
0. 358
The mean is 24.2 and the standard deviation is 8.7.
MeanThe mean amount of revenue each car generates can be calculated by multiplying the mean number of hours parked by the cost per hour. To find the mean number of hours parked, we need to multiply each possible number of hours by its probability and add them up.
E(X) = (1 * 0.229) + (2 * 0.113) + (3 * 0.114) + (4 * 0.076) + (5 * 0.052) + (6 * 0.027) + (7 * 0.031) = 4.84 hours
So, the mean revenue is 4.84 * 5 = 24.2 dollars
Standard DeviationThe standard deviation of the revenue can be calculated by finding the standard deviation of the number of hours parked and then multiplying by the cost per hour.
SD(X) = sqrt( (1^2 * 0.229) + (2^2 * 0.113) + (3^2 * 0.114) + (4^2 * 0.076) + (5^2 * 0.052) + (6^2 * 0.027) + (7^2 * 0.031) - (4.84)^2) = 1.74 hours
So, the standard deviation of the revenue is 1.74 * 5 = 8.7 dollars.
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Ron sells bananas for $0. 60 each. How many bananas did Ron sell if he made $150. 00, after taking off $39. 00 for his banana stand rental?
neil uses 41-cent stamps and 8-cent stamps to mail a gift card to a friend. if the postage is $1.95, how many of each stamp did neil use?
If Neil uses 41-cent stamps and 6-cent stamps to mail a gift card to a friend , then the number of 41 cent stamp used is 3 and number of 6 cent stamps used is 12 .
Let number of 41 cents stamps used be = x ;
and let number of 6 cents stamps used be = y ;
converting amount 41-cents in dollars is = $0.41 ;
and converting amount 6-cents in dollars is = $0.06 ;
the amount for which Neil used 41-cent stamps , 6-cent stamps is = $1.95 ;
this situation in equation form is written as ⇒ 0.41x + 0.06y = 1.95
Multiplying on both sides by 100 , we get
⇒ 41x + 6y = 195 ;
⇒ y = (195 - 41x)/6 ;
We will test this equations for values of x and y , the number of stamps must be whole numbers .
If x = 1 , then value of y is = 25.66
If x = 2 , then value of y is = 18.833
If x = 3 , then value of y is = 12
If x = 4 , then value of y is = 5.166 .
the only value of x and y which shows a whole number as an output is : If x = 3 , then y = 12 .
Therefore , Neil used "3" 41-cents stamps and "12" 6-cent stamps .
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Review the table showing wind speed, y, in miles per hour, measured x hours after midnight.
Hours after Midnight
Wind Speed (mph)
1
4. 3
2
4. 2
4
5
7
6. 8
9
8
10
8. 1
13
7. 2
17
6
20
5. 1
Which trigonometric function best models this data?
y = 1. 87sin(0. 29x + 6. 13) + 4. 79
y = 1. 87sin(0. 29x + 4. 79) + 6. 13
y = 1. 87sin(–0. 29x + 6. 13) + 4. 79
y = 1. 87sin(–0. 29x + 4. 79) + 6. 13
The trigonometric function that accurately fits the data is as follows: y = 1.87sin(–0.29x + 4.79) + 6.13. So the option D is correct.
The following is the trigonometric function that best represents the data:
y = 1.87sin(-0.29x + 4.79) + 6.13
Check the values in the table using the aforementioned equation;
At x = 1
y = 1.87sin(-0.29 x 1 + 4.79) + 6.13
y = 1.87sin(4.5 rad) + 6.13
y = 4.3
At x = 2
y = 1.87sin(-0.29 x 2 + 4.79) + 6.13
y = 1.87sin(4.21 rad) + 6.13
y = 4.49
At x = 4
y = 1.87sin(-0.29 x 4 + 4.79) + 6.13
y = 1.87sin(3.63 rad) + 6.13
y = 5.2
At x = 7
y = 1.87sin(-0.29 x 7 + 4.79) + 6.13
y = 1.87sin(2.76 rad) + 6.13
y = 6.8
At x = 9
y = 1.87sin(-0.29 x 9 + 4.79) + 6.13
y = 1.87sin(2.18 rad) + 6.13
y =7.7
At x = 10
y = 1.87sin(-0.29 x 10 + 4.79) + 6.13
y = 1.87sin(1.89 rad) + 6.13
y = 7.9
At x = 13
y = 1.87sin(-0.29 x 13 + 4.79) + 6.13
y = 1.87sin(1.02 rad) + 6.13
y = 7.72
At x = 17
y = 1.87sin(-0.29 x 17 + 4.79) + 6.13
y = 1.87sin(-0.14 rad) + 6.13
y = 5.9
At x = 20
y = 1.87sin(-0.29 x 20 + 4.79) + 6.13
y = 1.87sin(-1.01 rad) + 6.13
y = 4.6
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The complete question is:
Review the table showing wind speed, y, in miles per hour, measured x hours after midnight. Which trigonometric function best models this data?
Hours after Midnight Wind Speed (mph)
1 4.3
2 4.2
4 5
7 6.8
9 8
10 8.1
13 7.2
17 6
20 5.1
y = 1.87sin(0.29x + 6.13) + 4.79
y = 1.87sin(0.29x + 4.79) + 6.13
y = 1.87sin(–0.29x + 6.13) + 4.79
y = 1.87sin(–0.29x + 4.79) + 6.13
y=x^2+6x+8 solve by factoring.
Answer:
To factor the equation y = x^2 + 6x + 8, we can use the method of finding the factors of the constant term (8) that add up to the coefficient of the x term (6).
In this case, the factors of 8 are 1 and 8, and -1 and -8. But only -1 and -8 add up to 6, so we can factor the equation as:
(x + 8)(x + 1) = 0
So the solutions are x = -8 and x = -1.
a survey among tenants of shared apartments asked each tenant what percentage of the cleaning around the apartment he or she does. the survey found that aggregating the percentages for each apartment produces an average of much more than 100%. this result may be due to what bias?
The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.
The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.
In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.
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Identify the simplest polynomial function having integer coefficients with the given zeros.
4i, 3, −1
The simplest polynomial function having integer coefficients with the given zeros is: x⁴ -2x³ + 14x² - 32x - 48
How to solve for the polynomialThe polynomial is of degree 4
We have the values as 4i, 3 , -1
Hence we would have the following in brackets
for 4i = (x - 4i) (x + 4i)
for 3 = (x - 3)
for - 1 = (x + 1)
We would have to multiply these
(x - 4i) (x + 4i) (x - 3) (x + 1)
f(x) = x² + 4ix - 4ix (-4i)² (x² + x - 3x - 3)
f(x) = (x² + 16)(x² - 2x - 3)
This can also be expanded to standard form if you wish
x⁴ - 2x³ - 3x² + 16x² - 32x - 48
properly arrange
x⁴ -2x³ + 14x² - 32x - 48
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where A is a real integer and A ≠ 0.
f(x) = A(x2 + 16)(x - 3)(x + 1)
Can someone help me with this three part question please? I need help ASAP
It is not a triangle.
Does given feet is a triangle or not?
The Triangle Inequality theorem states that in a triangle, , where and are shorter side lengths and is the longest side length.
Given that 5+9<15, the given side lengths do not compose a valid triangle.
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NEED HELP ASAP
The equation 300x + 50 = 600 represents the number of
premium tickets x and the number of discount tickets y for a horse race that can be bought with $600. If no premium tickets are purchased, how many discount tickets can be
purchased with $600?
Answer:
12
Step-by-step explanation:
Assuming that $300 and $50 are the respective cost(s) of the premium and discount tickets, if we didn't buy any premium tickets, we could afford to buy 12 discount tickets at $50 because 12($50) = $600
i don’t understand what i’m doing and i need help
Answer: 77 degrees
Step-by-step explanation:
Ratio of the angles = 5 : 7 : 9 = 5x : 7x : 9x
5x + 7x + 9x = 21x
180 = 21x
x = 180/21
Largest angle = 9x,
= 9 * 180/21
= 540/7
540/7 = 77.14285...
Which is rounded to 77 degrees :>
Solve for z…. Z - 1/5=7/10
Please help :(
(8^x/5) (8^x/4)=8^4
The value of x in (8^x/5) (8^x/4)=8^4 is 80/9
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given;
The equation;(8^x/5) (8^x/4)=8^4
LHS=(8^x/5) (8^x/4)
=(8^x/5) (8^x/4)
=8^(x/5+x/4)
=8^((4x+5x)/20)
=8^(9x/20)
Now, by comparing LHS to RHS
We will get;
9x/20=4
9x=80
x=80/9
Therefore the answer of the equation will be 80/9
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22. The Columbus Junior Soccer League is
selling raffle tickets to raise money for new
uniforms and equipment. So far, league
members have earned $1,218 from selling
84 tickets. Use the equation 1,218 ÷ 84 = r
to find the cost of each raffle ticket. Then
use the answer to find what the total
earnings will be after 90 raffle tickets have
been sold.
The cost of each raffle ticket is thus $14.50, and the cost of 90 tickets is $1305.
What is division and multiplication?In multiplication, the numbers being multiplied are referred to as factors, and the end result is referred to as the product. In division, the dividend is the number being divided, the divisor is the number dividing it, and the quotient is the outcome of the division.
Given that the equation to find the cost of a single ticket is:
1218 ÷ 84 = x
x = 14.5
The cost of each raffle ticket is thus $14.50.
The cost of 90 tickets is given by:
90 × 14.50 = y
y = 1305.
Hence, the cost of 90 tickets is $1305.
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I need Help ASAP thanks if you do help me out!
Which is true about the function shown below between the points = 4 and x = 6?
Answer:
c. non-linear and increasing
Step-by-step explanation:
annalise works out with a treadmill program that varies the amount of time she runs and walks she has the treadmill set to a walking speed of 15 minutes per mile and a running speed of 9 minutes per mile. The amount of time running and walking can be different for every workout, but she always does a total of 6 miles. (a) suppose that one day, Annalise only walks. How much time would she spend on the treadmill. show your work or explain your answer. (c) write three other combinations for running and walking rimes would she spend on the treadmill. (d) on the graph below, plot the running and walking combinations you determined in parts a, b, and c.
The graph would be a line, where the x-axis represents the distance in miles running, and the y-axis represents the time spent on the treadmill. The points on the graph would be (0,90), (2,78), (4,66), (3,72).
How to solve the problem?(a) If Annalise only walks on the treadmill, she would spend 15 minutes per mile walking. Since she does a total of 6 miles, she would spend 15 minutes/mile * 6 miles = 90 minutes on the treadmill.
(c) Here are three other combinations for running and walking times on the treadmill:
2 miles running and 4 miles walking: 2 miles * 9 minutes/mile running + 4 miles * 15 minutes/mile walking = 18 minutes + 60 minutes = 78 minutes
4 miles running and 2 miles walking: 4 miles * 9 minutes/mile running + 2 miles * 15 minutes/mile walking = 36 minutes + 30 minutes = 66 minutes
3 miles running and 3 miles walking: 3 miles * 9 minutes/mile running + 3 miles * 15 minutes/mile walking = 27 minutes + 45 minutes = 72 minutes
(d) The graph would be a line, where the x-axis represents the distance in miles running, and the y-axis represents the time spent on the treadmill. The points on the graph would be (0,90), (2,78), (4,66), (3,72).
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At a large museum, there are 60 people in each tour group. Use this information to fill in the table. Then plot the ordered pairs given by the table. Number of tour groups Number of people y60120180240300360420480540600660x12345678910110
At a large museum, there are 60 people in each tour group. so that the ordered pairs are 1 - 60 peoples, 2 - 120 peoples, 3 - 180 peoples, 4 - 240 peoples, 5 - 300 peoples, 6 - 360 peoples etc.
What is the ordered pairs?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
In order to understand a point visually, it can be helpful to position it on the Cartesian plane.
An ordered pair's numerical values may be fractions or integers.
Given that, at a large museum, there are 60 people in each tour group.
In 1 group there are 60 peoples.
In 2 group there are 2 * 60 = 120 peoples.
In 3 group there are 3 * 60 = 180 peoples.
like this the correct ordered pairs are 1 - 60 peoples, 2 - 120 peoples, 3 - 180 peoples, 4 - 240 peoples, 5 - 300 peoples, 6 - 360 peoples etc.
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Determine if the given point is a solution of the system of inequalities.
Help please.
The inequality equations is
a) The point ( -9 , 4 ) lies on the inequality relation
b) The point ( 6 , -2 ) lies on the inequality relation
c) The point ( 0 , -4 ) does not lie on the relation
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
a)
Now , let the first point be represented as P ( -9 , 4 )
The shaded region is below 4 in the y axis and less than -4 in the x axis
So , the point ( -9 , 4 ) does lies on the inequality equation graph
b)
Now , let the first point be represented as Q ( 6 , -2 )
The shaded region is below -8 in the y axis and less than 8 and more than 4 in the x axis
So , the point ( 6 , -2 ) does lies on the inequality equation graph
c)
Now , let the first point be represented as R ( 0 , -4 )
The shaded region is above -8 in the y axis and more than -4 in the x axis and less than -1
So , the point ( 0 , -4 ) does not lie on the inequality equation graph
Hence , the inequality equations is solved
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Which of the following graphs has a slope of negative three halves and a y-intercept of 3?
graph of a line passing through the points 0 comma 2 and 3 comma 0
graph of a line passing through the points 0 comma 2 and 2 comma negative 1
graph of a line passing through the points 0 comma 3 and 2 comma 0
graph of a line passing through the points 0 comma 3 and 3 comma 1
The line y = -3/2(x) + 3 has a slope of negative three halves and a y-intercept of 3.
The correct option is C.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
We have a graph that has a slope of negative three halves and a y-intercept of 3.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂),
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁).
A). Line passing through the points (0, 2) and (3, 0).
y - 2 = 2/3(x)
y = 2/3(x) + 2.
This is not a required line.
B). Line passing through the points (0, 2) and (2, -1).
y - 2 = -3/2(x)
y = -3/2(x) + 2.
This is not a required line.
C). Line passing through the points (0, 3) and (2, 0).
y - 3 = -3/2(x)
y = -3/2(x) + 3.
This is a required line.
D). Line passing through the points (0, 3) and (3, 1).
y - 3 = -2/3(x)
y = -2/3(x) + 3.
This is not a required line.
Therefore, y = -3/2(x) + 3 is a required line.
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Answer:
The line y = -3/2(x) + 3 has a slope of negative three halves and a y-intercept of 3.
The correct option is C.
Step-by-step explanation:
A cylinder and a cone have congruent bases and heights what will be the relationship of the volumes of the two figures
the volike of the cylinder will be twice the volume of the cone
The ratio of the volume of the figure is 3:1.
The term called volume in math is defined as the space occupied within the boundaries of any three-dimensional solid
Here we know that the cylinder and a cone are having equal radii of their bases and heights.
Then let us consider that radius of the cone is equal to radius of the cylinder is defined as r and Height of the cone and height of the cylinder is defined as h.
Then their volume is written as,
=> Volume of cylinder /volume of cone
=> πr²h/ (1/3)πr²h
When we simplified this on, then we get the fraction as,
=> 3/1
Then the resulting ratio is 3:1.
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Please help! Find GCF of 10x^2 -21x-49
Answer: Your GCF would be 1!
Step-by-step explanation:
First you need to:
Factor 10x² as shown - 2 · 5 · x · x
Factor 21x as shown - 3 · 7 · x
Factor 49 as shown: 7 · 7
GCF = 1
I hope this helps!
PLEASE HELP:
The deductions from Jennifer Miller's monthly pay are federal income tax (FIT) of $87, state income tax (SIT) of 2. 5% of gross, (CIT) city income tax of 1. 2% of gross, social security, and medicare. Her next monthly pay is $3,981. 22. Find Jennifer's monthly gross pay.
A) $4,529. 05
B) $4,551. 23
C) $4,576. 58
D) $4,589. 8
Jennifer's monthly gross pay will be $4,589.08
Figures used to determine Jennifer's monthly gross compensation
Calculate the overall tax percentage deductions as a first step.
Using this equation
State tax + City tax + Social Security + Medicare = Total tax percentage deductions
Let's enter the formula.
Total tax deductions as a percentage equal: 3.5% + 2.5% + 6.2% + 1.45%
Total tax deductions as a percentage equal 13.65%
Now let's calculate the monthly gross pay
Total tax percentage deductions = 2.5% +1.2% +6.2% +1.45%
Total tax percentage deductions = 11.35%
Now let's calculate the monthly gross pay
Monthly gross pay= ($3,981.22 +87)/(1-11.35%)
gross pay= ($3,981.22 +87)/0.8865
Monthly gross pay=$4,068.22/0.8865
Monthly gross pay= $4,589.08'
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a triangle has one side that measures 1 feet and another side that measures 20 inches. wich are possible side lengths of the third side
The possible side length of the third side is 16 inches
How to determine the length of the sideIt is important to note that the Pythagorean theorem states that the square of the hypotenuse side is the sum of the square of the other two sides, they are the opposite and adjacent sides.
This is represented as;
a² = b² + c²
Given that;
a is the length of the hypotenuseb is the opposite sidec is the length of the adjacent sideNote: 1 feet = 12 inches
Substitute the values into the formula, we get;
20² = 12² + c²
Find the squares
400 = 144 + c²
collect like terms
c² = 256
Find the square root
c = 16 inches
Hence, the value is 16 inches
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Bryan is eight years younger than two times his friend Nancy's age. The sum of their ages is greater than sixteen. What is the youngest age Nancy can be? Give your answer as a whole number. The youngest age Nancy can be is_____Year old [help ASAP]
Hi There!
Your Answer could be 8 don't trust me i might be wrong
What is the domain of f(x)=^3radx+2-2
The domain of the function is the set of all real numbers
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x)=^3radx+2-2
Express properly
So, we have the following representation
f(x) = ∛(x + 2) - 2
The above function is a cubic function
A cubic function has no restriction on its input value
This implies that the domain is the set of all real numbers
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jennifer takes 2 hours to make a loaf of bread and 1 hour to make a dozen cookies. janet takes 3 hours to make a loaf of bread and 3/4 hours to make a dozen cookies. who, if either, has an absolute advantage baking bread? who, if either, has an absolute advantage making cookies?
When it comes to baking bread, Jennifer has an absolute advantage. But when it comes to making cookies, Janet has an absolute advantage.
Absolute advantage is used when there is efficient production. It is used to describe the ability of a person, place, business, or nation to produce a lot of goods or services with the same amount of inputs in a given amount of time.
Here, a loaf of bread baked by Jennifer takes about 2 hours but it takes about 3 hours for Janet to bake a loaf of bread. So, Jennifer has an absolute advantage in baking a loaf of bread.
Also, Jennifer takes about 1 hour to bake 12 cookies but it only takes 3/4 hours or 45 minutes for Janet to bake cookies 12 cookies. So, Janet has an absolute advantage in baking a dozen cookies.
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what is the average (arithmetic mean) number of runs per game scored by the new york yankees last season ? (1) last season, the new york yankees played 160 games (2) last season, the new york yankees scored four runs per game in exactly 1/5 of their games, five runs per game in exactly 3/4 of their games, and nine runs per game in exactly 1/20th of their games.
Answer:
5
Step-by-step explanation:
(1) last season, the new york yankees played 160 games
(2) last season, the new york yankees scored
4 runs per game in exactly 1/5 of their games, 1/5*160 =32 games
5 runs per game in exactly 3/4 of their games, 3/4*160 =120 games
9 runs per game in exactly 1/20th of their games 1/20*160 = 8 games
total runs 4*32+ 5*120 + 9 *8 = 128+600+72 =800
total games 160
average: 800/160 =5