The domain of the function d(t)=1/2t+6 is (-∞, ∞) and the range of the function is (-∞, ∞).
What are Domain and Range?Similar to how we input different numbers into functions, we also receive new numbers as the outcome. The two main characteristics of functions are domain and range.
A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A → B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range.
The domain of the function d(t)=1/2t+6 is given by
Domain: (-∞, ∞), {x|x ∈ R}
The range of the function is given by
Domain: (-∞, ∞) , {y|y ∈ R}
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Tom bought a bag full of coal. After one week the bag was 2|3 full. During the next week he used of the remaining coal What fraction was left in the bag?
Answer:
None
Step-by-step explanation:
When he first bought the coal, it was full. After one week, he used 1/3, leaving the bag 2/3 full. If he used the remaining coal in the bag, that means he used all of the coal - all two thirds of it.
The fraction of coal left in the bag was zero or none since Tom used the remaining coal.
What is the reasoning?The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.
The reasoning is a tricky but interesting problem in mathematics that requires relations of variables to solve.
As per the given,
After one week the bag was 2|3 full
Now remaining coal = 1 -2/3 = 1/3 part
Now, Tom used this remaining amount.
So, 1/3 - 1/3 = 0 part.
Hence "The fraction of coal left in the bag was zero or none since Tom used the remaining coal".
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Can anyone write the equation of this graph?
The absolute value equation graphed is defined by the rule given as follows:
y = |x - 3| + 6.
What is the function graphed?The function graphed is an absolute value equation, due to it's v format.
The equation that represents an absolute value function with vertex (h,k) is given by the rule presented as follows:
y = |x - h| + k.
On the graph, this vertex is the turning point of the absolute value function.
For the graphed function, the coordinates of the vertex are given as follows:
x = 3, as the turning point of the graphed function has an horizontal coordinate of 3, hence h = x = 3.y = 6, as the turning point of the graphed function has a vertical coordinate of 6, hence k = y = 6.Then the coordinates of the vertex are:
(3,6).
The equation of the graphed absolute value function is:
y = |x - 3| + 6.
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The candy jar is only 1/4 full and all three brothers want an equal share. What fraction of the candy jar should each brother get?
Answer: 1/12
Step-by-step explanation: If the candy jar is only 1/4 full, and there's 3 brothers, they would each receive 1/3 of 1/4. THis would be 1/12 of the jar.
its an algebra problem i need help soon
perp. is perpendicular
The slope-intercept form of the equation of the line is y = 2/3(x) - 4
How to determine the slope-intercept form of the equation of the line?Given that: the unknown line passes through (0, -4) and it is perpendicular to y= -3/2(x) + 1
The slope-intercept form of a straight line is:
y = mx + c,
where m is the slope and c is the y-intercept
When the two lines are perpendicular, the product of their slope is -1 i.e.
m₁ × m₂ = -1
where m₁ and m₂ represent the slope of the lines
Let the slope of the given line be m₁ and the slope of the unknown line be m₂
Line1(given):
y = -3/2(x) + 1 and m₁ = -3/2
m₁ × m₂ = -1
-3/2 × m₂= -1
m₂ = 2/3
Line 2(unknown) with the point (0, -4):
y = mx + c (x = 0 and y = -4)
-4 = 3/2(0) + c
c = -4
y = 2/3(x) - 4
Therefore, the slope-intercept form of the equation of the line that passes through (0, -4) and is perpendicular to y= -3/2(x) + 1 is y = 2/3(x) - 4
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On a math test student, Jake, has to identify all the coefficients and constants of the expression 9b+7+n. Jake says that 9 is a coefficient and 7 is a constant. Identify all the coefficients and constants of the expression. What error might Jake have made?
The coefficient(s) of the expression is/are _.
Answer:
The coefficient is 9 in 9b.
Step-by-step explanation:
A coefficient is a number before a variable.
Examples: 9 in 9b, 5 in 5y, 3 in 3x.
Practically anything before a variable is declared a coefficient.
Pls vote brainliest if this was helpful!
It helps a lot :)
I”M GIVING BRAINLIEIST OR WHATEVER TO WHO EBER EXPLAINS THE BEST
Answer:-3
Step-by-step explanation:
HELP!!!!!
A state offers specialty license plates that contain 3 letters followed by 2 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system.
17,576,000 possible license plates
1,757,600 possible license plates
36 possible license plates
98 possible license plates
The number of possible license plates that can be issued using this system is 1757600. Therefore, option B is the correct answer.
Given that, a state offers specialty license plates that contain 3 letters followed by 2 numbers.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
The number of possible license plates
= 26×26×26×10×10
= 1757600
The number of possible license plates that can be issued using this system is 1757600. Therefore, option B is the correct answer.
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What is greater 1 1/2 or 1.456
Answer:
KentuckyCriedChickens
Jonathan earned the following scores on his math test 82,79,85,100,46,92,88 what is his mean test score?
Answer:
496.5714285714
Step-by-step explanation:
82+79+85+100+46+92+88
7
=496.5714285714
show your work using standard athgorithm
Need help im so confused
please and thank you
Answer: It is b
Step-by-step explanation:
Answer: 126.5
Step-by-step explanation:
This is Pythagoras theorem so a² + b² = c²
c² is always the diagonal bit
The soccer field is rectangle and draw the route of the players on and you get the triangle
a = 120
b = 40
c² = a² + b² (square root after)
120² + 40² = 16000
Then square root that to get 126.5
I hoped this helped so please thank and rate :)
19. Spotify revealed that about 47% of its users are aged 13-24, 25% are aged 25-34, and 28%
are 35 or older. Suppose that for the 13- to 24-year-olds, 85% identified pop as their favorite
music genre, 59% of the 25- to 34-year-olds identified pop as their favorite music genre, and
23% of the users 35 or older identified pop as their favorite music genre. Suppose we select
one Spotify user at random and record his or her age and whether his or her favorite music
genre is pop.
The probability is 0.061 to record his or her age for her favorite music genre is pop.
What is meant by probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event or statement is to occur. An event's probability is a number between 0 and 1, where 0 indicates impossibility and 1 represents certainty. The more likely an occurrence is, the more likely it will occur. A simple example is tossing a fair (unbiased) coin. Because the coin is fair, all outcomes are equally likely; the probability of "heads" equals the probability of "tails," and because no other outcomes are possible, the probability of "heads" or "tails" is 1/2.
Given,
Age Users Pop-music
13-24 47% 85%
25-34 25% 59%
35-more 28% 23%
Let the total population be 100 then
Age Users Pop-music
13-24 47% 85% of 47=39.95
25-34 25% 59% of 25=14.75
35-more 28% 23% of 28=6.44
Persons having favorite music game as pop=34.95+14.75+6.44
=61.14
Probability=61.14/100c₁
=0.061
Therefore, the probability is 0.061.
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What is the answer to this question: 3y^2+4ab+7y^2+ab
HURRY ASAP!
What is six-eighths times five?
Your answer should be in mixed number form.
A. one and ten-thirtieths
B. three and six-eighths
C. six and four-sixths
D. nine and three-fifths
Answer:
B: [tex]3\frac{6}{8}[/tex]
Step-by-step explanation:
we multiply numerator by numerator and denominator by denominator
6/8x5/1
30/8
3 6/8
Hopes this helps please mark brainliest
In ΔSTU, TU = 11, US = 17, and ST = 18. Which statement about the angles of ΔSTU must be true?
For the given triangle STU all the angles of ΔSTU are not equal to each other is the true statement .
As given in the question,
In the given triangle STU,
TU = 11
US = 17
ST = 18
we can see that
TU < US < ST
⇒ 11 < 17 < 18
⇒ 11 + 17 = 28
⇒ 28 > 18
All the sides of the triangle are not equal to each other.
This implies that all the angles opposite to the unequal sides are also not equal to other.
Therefore, for the given triangle STU all the angles of ΔSTU are not equal to each other is the true statement .
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Complete the paragraph
The missing terms for the congruent angles are;
Complementary angles
m∠1 + m∠3 = 90°
Transitive property of equality
Subtraction property of equality;
Congruent angles.
How to identify congruent angles?Congruent angles are defined as the angles that have equal measure. Therefore, all the angles that have equal measure are called congruent angles.
We are given that;
∠1 and ∠2 are complementary
∠1 and ∠3 are complementary
Now, we are told that m∠1 + m∠2 = 90°. Complementary angles are defined as the 2 angles that sum up to 90 degrees. Thus, ∠1 and ∠2 are complementary by definition.
Similarly, m∠1 + m∠3 = 90°
By the transitive property of equality, we can say that;
m∠1 + m∠2 = m∠1 + m∠3
By the subtraction property of equality;
m∠2 = m∠3
Thus;
∠2 = ∠3 by definition of congruent angles.
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32. what proportion of the 30 sampled bottles are more than 12 ounces? a. 0.20 b. 0.60 c. 0.50 d. 0.30 33. in the sample of 30 bottles, the lowest recorded fill is 11.3 ounces, however, originally this value was mistakenly entered as 1.3 ounces. suppose the error is left uncorrected and the lowest value remains 1.3 ounces. which value is most affected by the error? a. the median. b. the interquartile range. c. the mean. d. all measurements would be affected the same.
The proportion of the 30 sampled bottles are more than 12 ounces is 0.30. The value is most affected by the error will be mean.
What is mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint.
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write the equation that has a vertex at (-2,3) and a vertical stretch of 3
Vertex form
f(x)= 3(x+2)^2+4
The theater director recorded the number of seats occupied at past performances and the total revenue per
performance.
After plotting her results, the director noticed that the relationship between the two variables was fairly linear,
so she used the data to calculate the following least squares regression equation for predicting the total
revenue, in dollars, from the number of seats occupied.
= -325 + 143
What is the residual of a performance with a revenue of $700 and 70 seats occupied ?
The residual of a theatre performance with a revenue of $700 and 70 seats occupied is 45.
What is the residual of the performance?From the information illustrated, the theater director recorded the number of seats occupied at past performances and the total revenue per performance.
The equation is given as:
y = -325 + 14x
y = actual performance for 70 seats occupied
For x = 70
y = -325 + 14x
= 325 + 14(70)
= -325 + 980
= 655
Therefore, the residual will be:
= 700 - 655
= 45
The residual is 45.
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0
O
13. Choose whether the slope of the line is positive, negative, zero, or undefined.
undefined
zero
negative
positive
The slope of the line is Positive
What is the Slope of a line:
The slope of a line is the rate of change of rising of the line and it is also defined as the steepness of the line. Slope of the line is denoted by “m.”
The slope of the line at different positions:
When we go from left to right on the graph if the line moves up then the slope of the line will be positive
When the line is parallel to the Horizontal axis i.e x-axis then the slope of the line will be zero
The slope of a line or the slope of the y-axis, that is parallel to the y-axis is undefined
From the given picture,
We can say that from left to right the given line is moving upwards
Therefore
From the above observation slope of the line is Positive
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What are the missing segment lengths shown in the image?
The length of the missing ,line segments show in the image are AC = CD = 10√2 and AB = BC = 10 .
In the question ,
a figure is given , we have to find the length of the missing line segments .
From the given figure
the Δ ACD is a right triangle ,
given that ∠A and ∠D are equal
so , their corresponding length AC and CD will be equal , that is AC = CD
So , By Pythagoras Theorem
AC² + CD² = AD²
2*AC² = AD²
2*AC² = (20)²
2*AC² = 400
AC² = 400/2 = 200
AC = √200
AC = CD = 10√2
The triangle ABC is also right triangle
and ∠A and ∠C are equal
so , their corresponding length AB and BC will be equal , that is AB = BC
So , By Pythagoras Theorem
AB + BC = AC
2*AB² = AC²
2*AB² = (10√2)²
2*AB² = 200
AB² = 200/2 = 100
AB = √100
AB = 10 = BC
Therefore , The length of the missing line segments show in the image are AC = CD = 10√2 and AB = BC = 10 .
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Ken can walk 40 dogs in 8 hours. How many dogs can Ken walk in 1 hours?
Answer:
5
Step-by-step explanation:
divide.
A recipe requires 4 1/2 cups of milk for every 2/3 of a cup of flour. What is the ratio of cups of milk to one cup of flour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
PLEASE HELP!!!
Can anyone write the equation of the graph?
The graph shows the absolute value function.
y = |x - 3| + 5
How to identify the function in the graph?First, we can see that the shape of the graph is a "V", so we have an absolute value function.
We can see that the slope is 1 (for each horizontal square that the line moves, it also moves one vertically) , so our function will be of the form
y = |x - a| + b
Notice that the above function has a vertex at (a, b)
And the graphed one ahs a vertex at (3, 5), with that we can conclude that the graphed function is:
y = |x - 3| + 5
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A car completes a journey at an average speed of 40 km/h. At what speed must it travel on the return journey if the average speed for the complete journey (out and back) is 60 km/h?
quickly please!
The answer average speed is120KM/h
What is speed?
The speed of an object, also known as v in common parlance and kinematics, is the size of the change in position per unit of time or the size of the change in position over time; as such, it is a scalar quantity.The average speed of an object in a given period of time is equal to the distance travelled by the object divided by the length of the intervalthe instantaneous speed is the upper limit of the average speed as the length of Velocity and speed are different concepts.
Given in the question a car travels in 40Km/h
Total distance will be 's' = speed * time.
The total round trip avg speed is 60km/h
So time is taken to reach = s/40 hr
And time is taken to return back = s/x hr
The total time is given = 2s/60
We can write 2s/60 = s/40+s/x
⇒ 1/x = 1/30-1/40
⇒1/x = 1/120
⇒x = 120 KM/hour
Hence the, the average speed in the return journey is 120KM/hour.
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The roof of a farm silo is the shape of a hemisphere and is made of sheet tin. If the diameter of the silo is 126.5 feet, how
much sheet tin is needed to make the roof? (Use π = 3.1416.)
A. 25,136.3 square feet
B. 25,026.6 square feet
C. 16,755.2 square feet
D. 33,510.2 square feet
The area of tin sheet needed to make the roof is 25,136.3 square feet.
The roof of a farm silo is in the shape of a hemisphere. The roof is made of a sheet of tin. The diameter of the silo is 126.5 feet. Hence, the radius of the hemisphere is half the diameter. The radius is 126.5/2 = 63.25 feet. We need to find the amount of tin sheet required to make the roof. The amount of tin sheet is equal to the area of the roof. The formula for the curved surface area of a hemisphere is given below :
A = 2πr² = 2*3.1416*(63.25)² = 25,136.3
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Add (7x^3-2x^2-5x+6) (2x^3+3x^2-x-1)
a) 9x^3+x^2-6x+5
b) 9x^6+x^4+5x^2-6
c)9x^3-x^2-6x+5
d)14x^3-6x^2-5x-6
Addition of the given is (a) [tex]9x^{3} +x^{2}-6x+5[/tex]
Equation given,
Eq 1 = [tex]7x^{3} - 2x^{2}-5x+6[/tex]
Eq 2 = [tex]2x^{3}+ 3x^{2}-x-1[/tex]
Adding Eq 1 + Eq 2,
[tex](7x^{3} - 2x^{2}-5x+6) + (2x^{3}+ 3x^{2}-x-1)[/tex]
[tex](7x^{3} + 2x^{3}) + (- 2x^{2}+ 3x^{2})+(-5x-x)+(6-1)[/tex]
[tex]9x^{3}+ x^{2}-6x+5[/tex]
Hence, the answer.
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Angie bikes for 20 minutes burning 150 calories. How many calories will he burn if he bikes for 25 minutes
Answer:
I think it's 187.5
Step-by-step explanation:
I divided 150 by 20 and got 7.5.
i multiplied 7.5 by 25 and got 187.5
Hop this is correct and helps you.
John needs a total of $100 to buy a birthday present for his friend. He has already saved $35. If he saves $10 a week from his earnings what is the least number of weeks he must work to have enough money to buy the present?
Answer: D) 7
Step-by-step explanation:
First put this into an equation as shown
f(x)=10x
The 10 is for the money he makes and the x is the amount of weeks
then take the 35 dollars he already saved and put it into an equation as shown
35+f(7)
the f(7) is just another way to say y=10(7) (f(x) is just y but fancy lol)
7 is the number of weeks he can work to get 105. It can't be 6 because that would be 95 dollars and it can technically be 8 but the question ask for the least number of weeks.
Hope that helped. It may have been a bit complicated.
Answer:5
Step-by-step explanation:
10x7=70
35+70=105
Warren has 40 coins (all nickels, dimes, and quarters) worth $4.05. He has 7 more nickels than dimes. How many quarters does Warren have?
Please provide a detailed explanation and steps on how to do
If he has 7 more nickels than dimes. The number of quarters that Warren have is 7.
How to determine the number of quarters?Let coins be:
n + d + q = 40
Where;
n = nickels
d =dimes
q = quarters
Hence,
.05n + .10d + .25q = 4.05
n = d + 7
Substitute (d+7) for n
(d+7) + d + q = 40
2d + q = 40 - 7
2d + q = 33
q = (33-2d)
So,
.05(d+7) + .10d + .25q = 4.05
.05d + .35 + .10d + .25q = 4.05
15d + .25q = 4.05 - .35
.15d + .25d = 3.70
Substitute (33-2d) for q
.15d + .25(33-2d) = 3.70
.15d + 8.25 - .5d = 3.70
.15d -.5d = 3.70 - 8.25
-.35d = -4.55
Divide both side by -/35d
d = -4.55 / -.35
d = 13 dimes
Nickels
n = d+7 where d is 13
n = 13 + 7
n = 20 nickels
Quarters
q = (33-2d)
q = 33 - 2(13)
q = 33 - 26
q = 7 quarters
Therefore 7 is the quarters.
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