Using absolute value, it is found that:
The absolute value equation that models the situation is: [tex]|T - 76| = 4[/tex]The two solutions, [tex]T = 72[/tex] and [tex]T = 80[/tex], mean that the temperature of the aquarium water must be between these two values.---------------------------
The absolute value function is defined by:[tex]|x| = x, x \geq 0[/tex]
[tex]|x| = -x, x < 0[/tex]
It measures the distance of a point x to the origin.---------------------------
Item a:
The temperature should be set to 76ºF with an allowance of 4ºF, thus, the absolute value of the difference between the temperature T and 76 should be 4, that is:
[tex]|T - 76| = 4[/tex]
---------------------------
Item b:
Here, it is needed to solve the equation.There are two solutions:
[tex]T - 76 = 4[/tex]
[tex]T = 80[/tex]
Or also:
[tex]T - 76 = -4[/tex]
[tex]T = 72[/tex]
The two solutions, [tex]T = 72[/tex] and [tex]T = 80[/tex], mean that the temperature of the aquarium water must be between these two values.A similar problem is given at https://brainly.com/question/22532602
Find the length and breadth of the rectangle if the area is x^2+3x+4ax+12a
Answer:
Area =(x+3)(x+4a)
so sides = 3 and 4a
4 Rachel ran 5 miles every day last week. Her running time was as follows: 39 min, 42 min, 41 min, 38 min, 39 min, 39 min, 42 min. What was her mean running time for 5 miles?
Answer:
34.42 min
Step-by-step explanation:
Average:Total number/ Number of quantity
39+42+41+38+39+39+42 = 241
Divided by number of quantity:7
241/7 = 34.42 mins
The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 6 and the denominator is decreased by 5, the new rational number obtained is 3/2. Find the original rational number.
Answer:
6/13
Step-by-step explanation:
6 + 6 = 12 3
---- ---- = ---
13 - 5 = 8 2
Answer:
Original Rational number is = 6/13Step-by-step explanation:
Let Numerator be : x
Denominator be : x + 7
Now,
Numerator is increased by 6Denominator is decreased by 5the new rational number obtained is 3/2Numerator = x + 6
Denominator = ( x + 7) - 5
According to the question,
[tex] \displaystyle \: \sf \dashrightarrow \: \frac{x + 6}{(x + 7) \: - 5} = \: \frac{3}{2} [/tex]
[tex]\displaystyle \: \sf \dashrightarrow \: 2(x + 6) \: = 3 \{ \: (x + 7 ) - 5\} \: [/tex]
[tex]\displaystyle \: \sf \dashrightarrow \: 2x \: + 12 \: = \: 3(x + 2)[/tex]
[tex]\displaystyle \: \sf \dashrightarrow2x + 12 \: = 3x + 6[/tex]
[tex]\displaystyle \: \sf \dashrightarrow \: 2x - 3x \: = \: 6 - 12[/tex]
[tex] \: \: \: \displaystyle \: \sf \dashrightarrow \: - x \: = - 6 \\ \\ \: \: \: \: \: \: \displaystyle \: \bf \dashrightarrow \: x \: = 6[/tex]
Numerator = 6
Denominator = x + 7
= 6 + 7
= 13
Thus ,
[tex]\: \bf { \red{ \underline{\dashrightarrow \: obtained \: rational \: number \: = \: \frac{6}{13} }}}[/tex]
[tex] \pink{\rule{160pt}{5pt}}[/tex]
find the 50th term of 0,3,6,9
Answer:
150
Step-by-step explanation:
3×0=0
3×1=3
3×2=6
3×3=9
....
3×50=150
It is the value that will make the statement l 0 l ____ 0.
Answer:
|0| = 0
Step-by-step explanation:
Absolute value of a number is its value sans its sign, positive or negative i.e. for +17, it is 17 and for −17 to it is 17.
Number 0 does not have any sign and +0=−0=0. Hence, we can say that |0|=0
Find the location of K
Answer:
-2
Step-by-step explanation:
HELPP!!
describe the pattern. then write the next 3 numbers
729,243,81,27
g(x)=3x-8
g(1)
help!
Find the slope of the line.
5
X
--5-6.
a. Undefined
c.
3
2
b. 0
d. -1
Answer:
undefined
Step-by-step explanation:
slope = ((y2-y1)/2) / ((x2 - x1 )/2)
since x1 = x2
so x2 - x1 = 0
then ((y2-y1)/2) / 0 = undefined
Laina buys 14 meters of ribbon. She cuts her ribbon into 2 equal pieces. How many meters long is each
piece? Label the tape diagram to represent the problem, including the unknown.
Answer:
Each piece is 7 meters long.
Step-by-step explanation:
The ribbon, being 14 meters long, would be 7 meters long if cut into 2 equal pieces because 14 divided by 7 equals 2.
Law of indices a×10⁰×a
Step-by-step explanation:
a×10⁰×a
Since, m⁰=1 therefore
a×1×a
a²
a × 10⁰ × a = a × 1 × a = a × a = a²
Math 7 Review:
Question 4
What is the solution to 2(x−4)=16?
Answer:
x = 12
Step-by-step explanation:
2(x-4)=16
2 times x +2 times -4 = 16
2x -8 =16
2x -8 (+8) =16 (+8)
2x = 24
2x (divided by 2) = 24 (divided by 2)
x = 12
The largest theater has 42 rows.There are 14 seats in the first row.Each row has 4 seats more than the previous row.how many total are there in this theater?
Answer:
41 x 18 = 738 + 14 = 752
Step-by-step explanation:
Its says that there 42 rows .First row has 14 seats and the rest of 41 rows has with + 4 more so every row has 18 seats ,and asks how many seats are in total in the theater . To show that you understood the question you have to multiply 41x18 which gives 738 and then add + 14 from the first row so you can find out how many seats are in total .Hope that helps .
what would be 0.93 repeating as a fraction in simplest form
Answer:
First, set x equal to .93
x=.939393939393...
Then, since the repeating is by two digits, let's multiply x by 100
This would make 100x=93.9393939393...
Now, we can subtract 100x−x
This would leave us with 99x=93 because the repeating digits cancel out.
This looks much easier now right?
Just divide the 99 and isolate the x to get x=9399
Get the simplified fraction, and the final answer is x=3133
Write a rule that describes how to find the number of legs for any
number of insects.
The rules of a dataset are what guide the formation of the dataset. The rule that describes how to find the number of legs for any number of insects.
Add 6 or [tex]y = 6x[/tex]Let:
[tex]x \to[/tex] number of insects
[tex]y \to[/tex] number of legs
From the table (see attachment), we notice the following:
As the number of insects increases by 1, the number of legs increases by 6.
Hence, the rule that describes how to find the number of legs is "Add 6"
A better approach is as follows:
From the table we have:
[tex](x_1,y_1) = (1,6)[/tex]
[tex](x_2,y_2) = (2,12)[/tex]
Calculate the slope (m) of these points
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{12 - 6}{2-1}[/tex]
[tex]m = \frac{6}{1}[/tex]
[tex]m = 6[/tex]
The equation is then calculated as:
[tex]y =m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 6(x - 1) + 6[/tex]
[tex]y = 6x - 6 + 6[/tex]
[tex]y = 6x[/tex]
Hence, the rule is:
Add 6 or [tex]y = 6x[/tex]Any of the above, can be stated as the rule that how to find the number of legs for any number of insects.
Read more about linear functions at:
https://brainly.com/question/21107621
A tea set was bought for Rs 336 after getting a discount of 16 % on its marked price. Find the marked price of the tea set.
Step-by-step explanation:
53.76
it helpful for you plrase give me like
[tex]\large \mathfrak{Solution : }[/tex]
let the marked price of the tea set be n
According to the above problem,
[tex]n - ( \dfrac{16}{100} \times n) = 336[/tex][tex]n - \dfrac{4n}{25} = 336[/tex][tex] \dfrac{25n - 4n}{25} = 336[/tex][tex]21n = 8400[/tex][tex]n = \dfrac{8400}{21} [/tex][tex]n = 400[/tex]Therefore the Marked price of the Tea set was ₹ 400
Point A is at (3,-8) and point B is at (7,3).
What is the midpoint of line segment AB?
Answer:
(5, -2)
Step-by-step explanation:
because that is the only other place on the line where it is on a actual point
Question 4
Simplify
Answer:
[tex]8 \frac{9}{10} [/tex] (first option)
Step-by-step explanation:
[tex] - 4 \frac{1}{5} - ( - 13 \frac{1}{10} )[/tex]
[tex] - \frac{21}{5} + 13 \frac{1}{10} [/tex]
[tex] - \frac{21}{5} + \frac{131}{10} [/tex]
[tex] \frac{89}{10} = 8 \frac{9}{10} [/tex]
7. Find the perimeter of the figure.
x+12
x + 2
Answer:
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.
What have you discovered regarding data representation methods? What's the difference between qualitative and quantitative data?
For data and probability
Step-by-step explanation:
Qualitative data are discrete, for instance, "Yes/No" type questions. They are usually presented in bar charts or pie charts to show the portion of different populations with certain characteristics in a single experiement (e.g. Not allergic to ginger VS allergic to ginger).
Qualitative data are usually continuous, and can show a trend or distribution numerically. They are usually presented by, for instance, line charts (e.g. Distribution of resident age in block E)
PLS ANSWER THIS I NEED HELP
Answer:
Here is your answer
Hope it helps
The perimeter of a square is 30cm the perimeter of a rectangle is 30cm use this information to find out the area of the square below?
Step-by-step explanation:
perimeter of square = 30cm
perimeter of rectangle = 30cm
area of square is = 30×30= 900 cm
hope it helps , make sure to follow !!!!
I need help pls(: I’m confused about this!!
Answer:
(4,3)
Step-by-step explanation:
hope this helps :)
How do you know each of the sides of the shape are the same length?
Answer:
If your shape is a regular polygon (such as a square in the example above) then it is only necessary to measure one side as, by definition, the other sides of a regular polygon are the same length. It is common to use tick marks to show that all sides are an equal length.
Step-by-step explanation:
Hope it helps love form india server
Answer:
they usually have double line on top of the lines of the shapes. for example square they have all the same lenght so they have double line signs on top of them
i hope this help. good luck
√6·√5·√2 what is the answer for this. Im very confused
Answer:
2√15 is your answer . Hope this helps you.
Answer:
2[tex]\sqrt{} 15[/tex] (decimal 7.74596)
Step-by-step explanation:
That sign is called a radical sign used to find square roots so it is used to extract or find the index of the number in this case the answer to that question
So you have
√6 √5 √2 first you find the value of the first number my finding the square root
(by changing the number into a decimal and using long division is the method i use)
Since √6 is √3 and √2 then you put them together like so
√2 √3 √5 √2
then you apply radical rule
(which the formula is √a √a = a, a>0)
in this case it is √2 √2 = 2
and that equals
2 √3 √5
Apply radical rule again
(now that we did the formula the first time the formula changes now it is √a √b = √ab, a>0, b>0)
now it is
2√3 x 5
now you just multiply 3 and 5and get 15
then you get
2[tex]\sqrt{} 15[/tex] (decimal 7.74596)
Hope it helped, please mark brainliest if did
Add. −14 + (−7) Enter your answer in the box.
Answer:
-21
Step-by-step explanation:
add the numbers -14 and -7 to get -21
[tex] - 14 + ( - 7) \\ \\ - 14 - 7 \\ \\ - 21[/tex]
Hope it help youIn the following expression, both AAA and BBB are variables that can take positive values. Which of these actions will cause the expression's value to increase?
Answer:
A and C
Step-by-step explanation:
Keeping A constant and increasing B.
increasing A and keeping B constant.
The correct option is (A) and (C)
What is expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
Expression Definition in MathAn expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given:
A^B(B +2)
As, both are in ratio of multiplication and B is also the power for A.
There is no possible of decreasing the quantity.
Hence, if A is constant then B increasing and B is constant then A is increasing .
Learn more about expression here:
https://brainly.com/question/14083225
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please help me ! i'm going to fail if i don't answer
Robert climbed 755 steps in a mix fraction of 12 1/2. How many steps did he average per minute?
Answer:
60.4 steps per minute
755 divided by 25/2 (12 1/2) equals 60.4
48 divided by blank =6
Answer:
i think ANSWER IS 8
Step-by-step explanation:
48÷8 = 6
Answer:
8 would be your answer if I'm wrong pls let me know and I will edit soon as posable.
Step-by-step explanation:
the way I did it was doing 48 divided by 6 and I got the answer 8 meaning 8 would be the correct answer