The first thing we have to know is that 1 kilogram is equal to 1000 grams
[tex]\begin{gathered} 1\operatorname{kg}\to1000gr \\ \frac{1000gr}{1\operatorname{kg}} \end{gathered}[/tex]if we have 5.4 kilograms
[tex]\begin{gathered} 4.5\operatorname{kg}\cdot\frac{1000gr}{1\operatorname{kg}}=(4.5)(1000gr) \\ \end{gathered}[/tex][tex]4.5kg=4500gr[/tex]Identify all extrema of this function: f(x) = 2/(3x-5).
Select one:
a. Max: 3; Min: -2
b. Max:2.52; Min: 1.23
c. Max:0.19; Min: -2.31;
d. No extrema
The correct option is d. No extrema, is obtained for the given function.
What is described as the extrema of a function?Extremum, plural Extrema, any point in calculus where the value of a function is greatest (a maximum) as well as smallest (a minimum) (a minimum). Absolute and relative (or local) maxima as well as minima exist. At a relative maximum, the function's value is greater than its value at directly adjacent points, whereas at an absolute maximum, the function's value is greater than its value any other point in the interval of interest.For the state question,
The function is defined as; f(x) = 2/(3x-5).
To estimated the extrema of the function, first find the critical points.
Differentiate the function with respect to x suing division rule.
f(x) = 2/(3x-5).
f'(x) = 3/(3x-5)²
Now, put the function equals to zero.
f'(x) = 3/(3x-5)² = 0.
3 = 0
But, 3 ≠ 0
Thus, there is no critical point found for the function.
The give function is independent of the value of the x, and thus called the constant function.
Therefore, there is no extrema obtained for the function.
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Which graph represents the solution set of the system of inequalities?
[_y< / {x
\y≥-x+2
Answer:
Step-by-step explanation:
Find the slope of the line passing through the points (3, 4) and (8,
3).
Answer:-7\5 IS THE ANSWER TO THAT
Step-by-step explanation:
the length of a rectangle is four times it's width. if the perimeter is at most 106 centimeters, what is the greatest possible value for the width?
Lenght of a rectangle: L
Widht of the rectangle: W
Perimeter of the rectangle: P
length of a rectangle is four times it's width: L = 4W
Perimeter is at most 106: P <= 106
Perimeter is 2L + 2W: P = 2L + 2W
P <= 106
if we use the value of P = 2L + 2W, we can write:
2L + 2W <= 106
Since L = 4W, then we can write this equation:
2L + 2W <= 106
2(4W) + 2W <= 106
8W + 2W <= 106
10W <= 106
W <= 106/10 = 10.6
W <= 10.6
Therefore, the greatest possible value for the width is 10.6
Answer:
10.6
Segment RS is rotated 90 counterclockwise about the origin and then reflected over the y-axis. The resulting segment R"S" has coordinates R" (3,2) and R" (6,-5) . What are the coordinates of the segment RS ?
The coordinates of RS are R(2, 3) and S(-5, 6)
What is rotation?A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
Given:
Segment RS is rotated 90 counterclockwise about the origin
So, When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x).
Also, the coordinates are reflected over y- axis.
So, The coordinates of RS before reflection over y- axis is
R(-3, 2) and S(-6, -5)
Now, the coordinates of RS before rotation is
R(2, 3) and S(-5, 6)
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Please help I’ll mark you as brainliest if correct!!
Answer:
9, 9, 9900
Step-by-step explanation:
Please help me factor.
49 - 9x²
Answer:
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
7
and
b
=
3
x
.
(
7
+
3
x
)
(
7
−
3
x
)
Step-by-step explanation:
When you first looked at the image, you saw that Dina has 24 tickets for carnival rides, and she wants to use all of them. Some rides have a height requirement, and some rides do not have a height requirement.
-Dina has 24 tickets and wants to use all of them. She plans to go on a ride most once.
-Rides with no height requirement cost 3 tickets.
-Rides with a height requirement cost 4 tickets.
Let's answer the question "How many rides can Dina go on using all of her tickets?"
To answer the question, think about the strategy you would use along with all the information you have. What answer do you get? Select all that apply.
Note that 3-ticket rides have no height requirement, and 4-ticket rides have a height requirement.
A. 3-ticket rides: 0; 4-ticket rides: 6
B. 3-ticket rides: 2; 4-ticket rides: 6
C. 3-ticket rides: 4; 4-ticket rides: 3
D. 3-ticket rides: 6; 4-ticket rides: 2
E. 3-ticket rides: 8; 4-ticket rides: 0
In a certain lottery, you must correctly select 6 numbers (in any order) out of 35 to win. You purchase one lottery ticket. What is the
probability that you will win?
BOCCH
The probability of winning is
(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest hundredth as needed.)
The probability of winning the lottery is 6.16*10^(-7).
There is a lottery. It is given that you must correctly select 6 numbers in any order out of 35 numbers to win.The total number of possible outcomes can be calculated by choosing 6 numbers from 35.The total number of possible outcomes is 35C6.The total number of possible outcomes is 35!/[6!(35-6)!].The total number of possible outcomes is 35!/[6!29!].The total number of possible outcomes is 1623130.There is only one ticket that will win the lottery.The number of favorable outcomes is 1.The probability of winning the lottery is the number of favorable outcomes divided by the total number of possible outcomes.The probability of winning the lottery is 1/1623130.The probability of winning the lottery is 6.16*10^(-7).To learn more about probability, visit :
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The average human heart beats 1.037 x 105 times per day. The approximate average mouse heart beats
1.008 × 10 times per day. On an average, how many beats more does the mouse heart beats in a day?
09.043 x 105
O 2.9 x 10¹
8.942 × 10¹
1.029 × 10²
On an average 9.043 [tex]\times10^{5}[/tex] beats more does the mouse heart beats in a day.
The average human heart beats = 1.037[tex]\times10^5[/tex] times per day.
The approximate average mouse heart beats = 1.008[tex]\times10^6[/tex] times per day.
We have to find the how many beats more does the mouse heart beats in a day.
Since we have to find the more heart beat of mouse comparing to the human heartbeats. So we subtract their heart beat.
The human heartbeats have [tex]10^5[/tex] while mouse heartbeats have [tex]10^6[/tex]. So we first equal the power of 10. After equal the power we can easily find the value of the more heart beat of mouse.
We can write,
The average human heart beats = 0.1037[tex]\times10^6[/tex]
Now,
The more heartbeats of mouse = average mouse heart beats − average human heart beats.
The more heartbeats of mouse [tex]= 1.008\times10^6-0.1037\times10^6[/tex]
The more heartbeats of mouse [tex]=(1.008-0.1037)\times10^{6}[/tex]
The more heartbeats of mouse = 0.9043[tex]\times10^{6}[/tex]
The more heartbeats of mouse = 9.043[tex]\times10^{5}[/tex]
Hence, on an average 9.043[tex]\times10^{5}[/tex] beats more does the mouse heart beats in a day.
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The set of letters in the word 'woodpecker' using the listing (roster) method is {c, d, e, k, o, p, r, w}
Writing the elements of a SetFrom the question, we are to write the set of letters in the given word.
The given word is 'woodpecker'.
We are to write the set using either the listing (roster) method or the set builder notation.
The most concise way of writing the set is by using the listing (roster) method.
The roster method is a way to show the elements of a set by listing the elements inside of bracket.
The set of the letters in the given word is {c, d, e, k, o, p, r, w}
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Graph the line with the given point and slope.
The line through (-1,-2) with slope
6/5
The graph of the line passing through the points (-1,-2) with the slope 6/5 has been plotted
The line passing through the points = (-1,-2)
The slope of the line = 6/5
The slope of the line the change in y coordinates with respect to change in x coordinates of the line
We know
Point slope form [tex](y-y_{1})=m(x-x_{1})[/tex]
Where m is the slope of the line
Substitute the values in the equation
(y-(-2))= 6/5(x-(-1))
y+2 = 6/5(x+1)
y+2 = (6/5)x+6/5
y = (6/5)x+(6/5)-2
y = (6/5)x+(-4/5)
Draw the graph
Hence, the graph of the line passing through the points (-1,-2) with the slope 6/5 has been plotted
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AB+C=85
A+BC=86
What’s the break down tonthis
Answer:
A = 28
B = 2
C = 29
Step-by-step explanation:
28×2+29 = 85
28+2×29 = 86
_ No_(Did_Not_Lie) Yes_(Lied)
Positive_test_results 10 45
Negative_test_results 34 12
The table below displays results from experiments with polygraph instruments. Find the positive predictive value for the test. That is, find the probability that the subject lied, given that the test yields a positive result.
The probability that the subject lied, given that the test yields a positive result is; 81.81%
How to interpret the probability from a table?
From the given table, we see that;
Number of people with a positive result who did not lie = 10
Number of people with a positive result who lied = 45
Total number of people with positive results = (10 + 45) = 55
Number of people with a negative result who did not lie = 34
Number of people with a negative result who lied = 12
Total number of people with negative results = (34 + 12) = 46
The probability that the subject lied, given that the test yields a positive result is;
Probability = 45/55 = 0.818 = 81.81%
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Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 4 liters of synthetic oil. In order to make 671 liters of Petrolyn oil, how many liters of synthetic oil are needed?
For every 4 liters of synthetic oil, there are 7 liters of natural oil. 671 liters of Petrolyn oil. 244 liters of synthetic oil is needed and 427 liters of natural oil is needed.
Given that,
Petrolyn motor oil is a blend of synthetic and natural oil. For every 4 liters of synthetic oil, there are 7 liters of natural oil. 671 liters of Petrolyn oil are needed to produce it.
We have to find how much synthetic oil, in liters, is required.
According to the given values;
The ratio of natural to synthetic oil
= 7:4
If 671 liters have to be made then,
By adding 7+4=11
So, 7/11 of 671 liters will be = 427 liters of natural oil
and, 4/11 of 671 liters will be = 244 liters of synthetic oil
Therefore,244 liters of synthetic oil is needed and 427 liters of natural oil is needed.
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Please answer question fast (With steps preferred, not necessary)
Answer: your welcome
Step-by-step explanation:
Let x = the certain number
"A certain number was tripled 3x
"then decreased by 10": 3x - 10
"then doubled": 2*(3x-10)
"Then increased by 2": 2(3x-10)+2
"result was 5 times original number":
2(3x-10)+2 = 5x
6x - 20 + 2 = 5x
6x - 5x = 20 - 2
x = 18
Check (very important):
Is 2*(3*18 - 10) + 2:= 5*18 ?
2*(54-10) + 2 = 90 ?
2*(44) + 2 = 90 ?
90 = 90 ?yes
A doctor wants to determine if a new medication for cholesterol is more effective than the previous medication. The doctor asks her patients if they would like to take part in a study for a new medication, and 30 patients currently taking medication for cholesterol volunteer to participate. Which of the following would be an appropriate procedure for this experiment?
(A)The doctor needs to randomly assign 15 patients to the new medication and 15 to the original medication to even out the variability between the patients.
(B)The doctor needs to assign the first 15 patients to the new medication and 15 to the original medication to even out the variability between patients.
(C)The doctor needs to let the 30 patients choose which medication they are going to take through use of a survey to determine whether they want to participate in the experiment.
(D)The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if their cholesterol level is lowered.
The option that is an appropriate procedure for this experiment is D. The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if their cholesterol level is lowered.
How to illustrate the information?From the information illustrated, the doctor wants to determine if a new medication for cholesterol is more effective than the previous medication.
In this case, it should be noted that it's important to prevent bias. Therefore, it's important that the doctor randomly assign the 30 patients to the new medication
In conclusion, the correct option is D.
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Answer:
answer is A got it right
Step-by-step explanation:
Travis Gregg's co-payment for doctor visits
is $15. He also pays a $7.50 co-payment for
prescriptions. Last month he saw a doctor
4 times and had 5 prescriptions filled. How
much did Travis have to pay last month?
Answer: $97.5
Step-by-step explanation:
15(4) + 7.5(5) = $97.5
Answer:
97.5
Step-by-step explanation:
got it right
Find the volume of a cone with a height of 11 cm qnd a base radius of 3 cm.
Use the vale 3.14 for ~, and do not do any rounding. Be sure to include the correct unit in your answer.
Given A and B are vertical angles with m /A = 20x + 10 and m/B = 30x - 10.
What is x?
Answer:
to solve for x, you gotta make the two equations equal to each other then you can move the numbers to get the value of x
20x+10=30x-10
20x-30x=-10-10
-10x=-20
x=2
Answer:
x=2
Step-by-step explanation:
if m/A and m/B are equal, to find x, your equation would be 20x+10=30x-10. doing two step equations, you would substract 20x from both sides, making your equation look like 10=10x-10. then you would add 10 from both sides making your equation 20=10x. then you would divide 10x from both sides making x=2.
Evalúe the limit. Show steps
After evaluating the limit we have came to find that the limit of [tex]\lim_{x\rightarrow 1 }\frac{x-2}{x^2-10x + 25}[/tex] as x approaches 1 is −0.0625
What is limit?In mathematics, a limit is the value that a function, sequence, or index approaches as an input or as an index approaches a specific value. Limits are crucial to calculus and mathematical analysis and are necessary for the definitions of continuity, derivatives, and integrals.
The idea of a limit of a sequence is further generalized to include the idea of a limit of a topological network, in addition to sharing a connection with the category theory concepts of limit and direct limit.
A limit of a function is typically expressed in formulas as
[tex]{\displaystyle \lim _{x\to c}f(x)=L,}[/tex]
To find the limit
⇒ [tex]\lim_{x\rightarrow 1 }\frac{x-2}{x^2-10x + 25}[/tex]
Evalúe 2 as x
⇒ [tex]\frac{1-2}{1^2-10(1) + 25}[/tex]
⇒ [tex]\frac{-1}{-9 + 25}[/tex]
⇒ [tex]\frac{-1}{16}[/tex]
⇒−0.0625
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9. FOOD Deandre has 7 apples and each apple
is divided evenly into eighths. How many
apple slices does Deandre have?
point G(6,-2) is translated using the rule (x,y) -> (x-4, y+7).
what is the x-coordinate of G
what is the y-coordinate of G
IT MEANS THAT THE X COORDINATE CHANGED BY -4
[tex]x = 6 - 4 \\ x = 2[/tex]
THE NEW COORDINATE OF X IS 2
AND THE Y COORDINATE CHANGED BY +7
[tex]y = - 2 + 7 \\ y = 5[/tex]
THE NEW COORDINATE OF Y IS 5
(2,5)
ATTACHED IS THE SOLUTION
What is the opposite of |-74|?
Answer:
|-74| = 74
yw:)
hope it helps
Ryan has two jobs. He earns $9 per hour for x hours babysitting his cousins and he earns $18 per hour for y hours working at the coffee shop. Ryan will work both jobs. He is able to work no more than 10 hours a week, due to school commitments. Ryan wants to earn at least $72 a week, working a combination of both jobs. A write a system of inequalities that can be used to represent the situation.B. Graph these inequalities C. Determine and state one combination of hours that will allow Ryan to earn at least $72 per week while working no more than 10 hours
Let x and y be the number of hours Ryan works on each job respectively. He can work no more that 10 hours a week, it means that the sum of x and y must be less than or equal to 10:
[tex]x+y\le10[/tex]He also need to earn at least $72 a week, which means that the sum of 9 times x and 18 times y must be greater than or equal to 72:
[tex]9x+18y\ge72[/tex]The system of inequalities is:
[tex]\begin{gathered} x+y\le10 \\ 9x+18y\ge72 \end{gathered}[/tex]To graph these inequalities, we have to graph the boundary lines which are x+y=10 and 9x+18y=72, and then shade the region depending on the inequality. For the first inequality which is a less than or equal to, the shaded region must be under the boundary line (which is a continuous line) and for the second one, the shaded region must be above the boundary line (which is also continous).
In this case we only can take the solutions that have positive values of x and y, since Ryan can't work a negative number of hours. For example, one combination that will allow Ryan reach his goal is 5 hours as babysitter and 5 hours at the coffee shop.
Four times the difference of some number and 3 amounts to the quotient of 144 and 12.
Written as an equation
The equation that can be derived is [tex]4(x-3)=12[/tex]
Given
Four times the difference of some number and 3 amounts to the quotient of 144 and 12.
Let us say some number is x
Quotient of 144 and 12,
Quotient = [tex]\frac{144}{12}[/tex]
Quotient = 12
Four times the difference of x and 3 is as follows
[tex]4(x-3)[/tex]
Writing this in the form of an equation we get
[tex]4(x-3)=12[/tex]
Hence the equation is obtained, also solving the equation for x
[tex]4x-12=12[/tex]
[tex]4x = 24[/tex]
[tex]x=\frac{24}{4}[/tex]
[tex]x=6[/tex]
Hence the equation for given conditions is obtained.
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Identify the property demonstrated by the equation.
4+5=5+4
A. Comm. Prop. of Add.
B. Assoc. Prop. of Add.
C. Comm. Prop. of Mult.
D. Assoc. Prop. of Mult.
The correct answer is commutative property of addition.
What is commutative property?
In mathematics, the commutative property states that the sum of the expression does not change by changing the order or position of the numbers. Basically, changing the order does not change the sum.
According to the question, the given equation for the property of identity is as follows: 4 + 5 = 5 + 4
For this equation, the commutative identity property of addition which states that: a + b = b + a
Therefore, using this property, the given equation can be written as:
4 + 5 = 5 + 4
Hence, the correct answer is commutative property of addition.
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The value of each letter in the given magic square is a = 30, b = 6 , c = 18 and d = 4.
What is a magic square?A magic square is one that has several different integers placed in such a way that the sum or total of the numbers is the same on all of the diagonals, as well as in every row, column, and major diagonal.
Given:
A magic square where all rows, columns, and diagonals sum to the same number.
Sum of the numbers in the diagonal of the magic square,
5 + 17 + 29 = 51
In the first row, the sum of numbers will also be 51
5 + a + 16 = 51
a = 51 - 21 = 30
Similarly, the sum in the first column
5 + 28 + c = 51
c = 51 - 33 = 18
And the sum in the last row,
c + d + 29 = 51
Putting the value of c, we get
18 + d + 29 = 51
d = 51 - 47 = 4
Now to find the value of b the sum of the last column,
16 + b + 29 = 51
b = 51 - 45 = 6
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answer yes or no and explain why or why not.if 4s - 2 = 12, does (4s - 2) + 2 = 12 ÷ 2
Here, we want to evaluate the given equation
Looking at what is given, the operations performed on both sides are different
The reason is because we have addition on one side and division on the other side
By the addition property of equality, we are supposed to have the same operation performed on both sides
Since it is different, then the two are not equal
Tao buys almonds to prepare a sauce and serve it with noodles. Buy a 3/8 pound bag of almonds for $1.20.
What is the unit price per ounce that tao pays for almonds? (16 oz = 1 lb)
Or $0.15
Or $0.20
Or $2.40
Or $3.20
Answer:
Second option $0.2
Step-by-step explanation:
First we can convert 3/8 pounds to oz
since 16oz is in 1 pound
so 3/8 pound will be
3/8*16=6 oz
Then to find unit price per oz
we just take the total cost $1.20 divide by 6
$1.20/6=$0.2