Answer:
Step-by-step explanation:
"Best estimate' doesn't happen automaticallly, because you have to define "best" in this context. We could merely round all numbers and work with the results:
For example, starting with the work inside parentheses, we have:
5 5/6 - (1 + 4) = 5 5/6 - 5. We must round 5 5/6 up to 6. Then the "best estimate' is 6 - 5, or just 1.
The solution of the given expression is 17 / 24.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is 5⁵/₆ - (1¹/₄ + 3⁷/₈). The value of the expression will be calculated as:-
E = 5⁵/₆ - (1¹/₄ + 3⁷/₈)
E = 35 / 6 - [ 5 / 4 - 34 / 8 ]
E = 35 / 6 - [ ( 10 + 31 ) / 8 ]
E = 35 / 6 - 41 / 8
E = ( 140 - 123 ) / 8
E = 17 / 21
Hence, the solution of the expression is 17 / 21.
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the concavity of a function is described by its
expression
1st derivative
2nd derivative
3rd derivative
The concavity of a function is described by its second derivative.
-The expression will not directly tell us whether the function is concave up or concave down and where it changes, though graphing the function may give us some sort of idea.
-The first derivative tells us the critical/important values (where there could be asymptotes), as well as where the function is increasing/decreasing.
-The second derivative tells us again the critical/important values, but also where the function is concave up/down. We find concavity in the same way we find increasing/decreasing using the first derivative.
-The third derivative, at least in my experience, has only been used to find acceleration of a function.
Hope this helps!! :)
The concavity of a function is described by its 2nd derivative
The concavity of a function is dependent on the rate of change of a function's derivative
Assume the derivative of a function is f'(x), so the second derivative would be represented as: f"(x)
When f"(x) > 0, then the function is concave downward.
However, if f"(x) < 0, then the function is concave upward.
Hence, the concavity of a function is described by its 2nd derivative
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Find the area of the composite figure
Answer:
area of semicircle=76.969 inches
triangle is=10 in so 20 since there is 2 triangles made
rectangle=140 in
236.969 inches is the total
hope this helps
have a good day :)
Step-by-step explanation:
Can someone please help me?
Answer:
yes i can
Step-by-step explanation:
Answer:
(2,7)
Step-by-step explanation:
Round 27346 to 2 significant figures i need a step by step expansion
Answer:
27000
Step-by-step explanation:
We want to round 27346 to 2 significant figures.
Now, the number already has 5 significant figures, so to reduce it to 2 sig figures, we will have to reduce the 3 digits from the right to zero so that we can have just 2 significant figures by approximating.
Thus, 3 is less than 5 and so 7 cannot increase. Thus, we will have 27000 as the number when reduced to 2 significant figures.
SOMEONE PLEASE HELP!
I dont know Im sorry
Step-by-step explanation:
I just want points in not that smart
1.Show that the points (5,5),(6,4),(-2,4) and (7,1) are concyclic .Also find the equation ,centre and radius of the circle on which they lie.
Answer:
See belowStep-by-step explanation:
This is how I solved it.
Plotted the given points. See the attached.
Identified two pairs to connect, the two chords.
(5. 5) with (7, 1) and (6,4) with (-2, 4).Determined the equation of both lines:
y -5 = [( 1 - 5)/(7-5)](x - 5) ⇒ y - 5 = -2(x - 5)y = -2x + 15and
y = 4 (horizontal line)Identified perpendicular bisectors of those two chords, they both pass through the center of circle.
Midpoints of the chords:
[(5 + 7)/2, (5 + 1)/2] = (6, 3)and
(6 - 2)/ 2 = 2The equations:
y - 3 = 1/2(x - 6) ⇒ y = 1/2x x = 2 (perpendicular to y = 4 and passing through x = 2)Solving the system found the intersecting of those, the center.
Found the center:
(2, 1)Found the distance from the center to one of the points (7, 1):
7 - 2 = 5, this is the radiusThe equation of circle:
(x - 2)² + (y - 1)² = 25Verified all the other points are on same circle, confirmed.
Can someone please help answer?
Round off 54951 to the nearest 10,000.
Answer 50,000
Step-by-step explanation:
What is the slope of the line that passes through the points (-1, 0) and (3, 8)?
ASAP A student population in a school was 972. Next year they are projected to have a 25% increase in student population. How many students will they have next year?
Answer:
3888
Step-by-step explanation:
Answer:
25% of 972= 243
243+972=1215 students
Polynomial is a combination of O constants O variables O exponents O all of the choices
Answer:
It would be all of the above.
Step-by-step explanation:
An example of a polynomial is:
2x^3 - 4x^2 +1x -8
Note how there are exponents, such as ^3 for example. There is also a variable, in this case x. Lastly, there are constants, which are numbers by themselves.
y’all pls i’m in pain here
Answer:
it's the first one
Step-by-step explanation:
sorry if im wrong but i think it's right
Answer:
its the first
Step-by-step explanation:
first see how much it increases (1/2x)
and then where on the y line its crossing (+4)
sorry for bad english
please hellp meeee :D
a) 20 ft
b) 32 mm
Step-by-step explanation:
a) The legs of the smaller triangle are 6-6-3. The larger triangle is 1/3 larger than the other triangle so the lengths of the legs are 8-8-4 so the perimeter is 20 ft.
b) Since one side of the larger square is 8 mm, this means that the perimeter is 4×8mm = 32 mm.
Answer:
i dont know what the answerris
Step-by-step explanation:
Suppose you have a bag containing 2 black marbles and 3 red marbles. You reach into the bag, select a marble, see what color it is and replace it in the bag. Then you repeat this process. What is the probability of first selecting a black marble, replacing it and then selecting a red marble?
Please I need this ASAP
Answer:
Step-by-step explanation:
Always work from the inside out. That means we will deal with the parenthesis first: (4 - 1)
That gives us
2[32 - (3)³]. Next deal with the exponents. That gives us
2[32 - 27]. Next, the last set of parenthesis, which are actually brackets:
2[5] which then, finally, becomes 10
Order of operations...PEMDAS
Find the height of the tower using the information given in the illustration. A right triangle has a a vertical side as the height of the Eiffel Tower, a horizontal side of length 130 feet across the ground, and an unlabeled hypotenuse. The angle formed by the hypotenuse and the horizontal side measures 85.691 degrees. 130 ft The height of the tower is nothing feet.
Answer:
1725.1 feet
Step-by-step explanation:
It is given that there is a right angled triangle having a base of length of 130 feet. The angle between the hypotenuse and the base is given as 85.691 degrees.
Therefore, to find the height, we know :
[tex]$\tan \theta = \frac{\text{height}}{\text{base}}$[/tex]
[tex]$\tan 85.691 = \frac{\text{h}}{\text{130}}$[/tex]
[tex]$13.27 = \frac{\text{h}}{\text{130}}$[/tex]
h = 13.27 x 130
= 1725.1 feet
Therefore, the height of the Eiffel tower = 1725.1 feet
Determine the mode of the following data set:
-- 3, 12, 5, 12, 11, 2, 3, 10, 7, 6, 1, 4
a. 12
b. 3 and 12
c. no mode
d. 5
Step-by-step explanation:
3 AND 12 MAY BE
HOPE IT HELP U ...
Find the area of an 11-gon with side length 5 inches.
Answer:
234.141
Step-by-step explanation:
The formula is [tex]\frac{11}{4} *(s)^2*cot(\frac{\pi }{11})[/tex]. If you substitute 5 in, you get [tex]\frac{275}{4} *cot(\pi /11)[/tex] or 234.141
What is the fractional equivalent of the repeating decimal n=0.2727…?
Answer: 3/11 would be the answer
The area of the base of a cylinder is equivalent to the base of a circle? A) True. B) False
Answer:
Yes
Step-by-step explanation:
The base of both the cylinder and Circle are both circles.
A chocolate milk container in the form of a rectangular prism is 5 cm long, 3 cm wide, and 9 cm high. How many cubic centimeters of chocolate milk can it hold?
WITH SOLUTION PLEASE
Hello there I hope you are having an great day :) A chocolate milk container in the form of a rectangular prism is 5 cm long, 3 cm wide, and 9 cm high. How many cubic centimetres of chocolate milk can it hold?
V = L x W x H
Volume = length x Width x Height.
V = (5cm) (3cm (9cm)
V = 135cm^3
Therefore, the chocolate milk container can hold 135 cubic centimetres. Hopefully that helps you :)
PLEASE HELP!! IM BEGGING !!
Answer:
0
Step-by-step explanation:
P(starts with M wins presidency) = required outcome / Total possible outcomes
Number of names which starts with M = 1
Total number of names = 5
P(starts with M wins presidency) = 1/ 5
For vice presidency :
Number of names which starts with M = 0
Total number of names = 4
P(starts with M wins vice presidency) = 0/4
P(name which starts with M wins presidency and vice presidency) = 1/5 * 0/4 = 0
The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored greater than 700.
a. 95%.b. 2.5%.c. 5%.d. 97.5%.
Using the Empirical Rule, the percentage of students who scored greater than 700 is:
b. 2.5%
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.700 is two standard deviations above the mean. 5% of the measures are more than two standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of these measures are below 300 and 2.5% are above 700, hence option B is correct.
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Define the variables and translate the following statements into
algebraic inequalities.
"You buy hamburgers at a fast food restaurant. A
hamburger costs $0.49. You have at most $3 to spend.
Write an inequality for the number of hamburgers (6) you
can buy."
The variable should be on the left side of the inequality.
Etion
Check
nikal bhosdike gaand mara
Help me PLEASEEEEEEEEEEEEE
Answer:
Option A:[tex] \frac{4}{5} \: gallon \: per \: week[/tex]Step-by-step explanation:
Given,
Gallon of juice drank in 5 weeks = 4
Therefore,
Gallon of juice drank in 1 week
[tex] = \frac{4}{5} (ans)[/tex]
Geometric mean between 2 and 24
PLEASE SOLVE QUICK IM UNDER A LOT OF STRESSSSSSS
Question 8
1 pts
Jerome went apple picking with his family. In his bag he had four Granny Smith
apples, two Honeycrisp apples, three Gala apples, and one Fuji apple. What is
the probability that he will pick a Honeycrisp apple out of his bag, eat it, and
then choose another Honeycrisp apple? Write your answer as a simplified
fraction.
Answer:
Total apples=10
no.of honeycrisp Apple=2
1). Probability-2/10. =1/5
now total apples left=9
tolyal honey crisp apples left=1
2) probability=1/9
The Probability that Jerome pick a Honeycrisp apple out of his bag is 1/5.
The Probability the Jerome pick to choose another Honeycrisp apple out of his bag is 1/9.
What is probability?Probability is "possibility that deals with occurrence random events".
According to the question,
Total number of apples = 10 apples
Total number of Honeycrisp apples = 2 apples
Formula for probability = [tex]\frac{Number of favorable events}{Total number of events}[/tex]
Probability that Jerome pick a Honeycrisp apple out of his bag = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex].
After taking one honey crisp apple remaining one left so subtracting one from total number of apples.
10 - 1 = 9
Probability that Jerome pick to choose another Honeycrisp apple out of his bag = 1/9.
Hence, the Probability that Jerome pick a Honeycrisp apple out of his bag is 1/5.
The Probability the Jerome pick to choose another Honeycrisp apple out of his bag is 1/9.
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In 15–20, write the number positioned at each point.
Answer:
See below.
Step-by-step explanation:
15.) -3.25
16.) -4.5
17.) 1.25
18.) -5.75
19.) 0.5
20.) -2.5
A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are
15.) -3.25
16.) -4.5
17.) 1.25
18.) -5.75
19.) 0.5
20.) -2.5
Therefore the points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5.
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A school has 500 students. 340 are boys
a student is chosen at random. find the probability that student is a girl
Answer:
p = 8/25
Step-by-step explanation:
500 - 340 = 160 girls
p = 160/500
p = 8/25