Answer:
112.8
Step-by-step explanation:
to round 112.786 to the nearest tenth consider the hundredths value of 112.786 is 8 and equal or more than 5. Therefore, the tenths value of 112.786 (which is 7) increases by 1 to 8 , so 112.786 rounded to the nearest tenth =112.8
The value of the given expression is 112.8.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
To round 112.786 to the nearest tenth consider the hundredths value of 112.786 is 8 and equal to or more than 5. Therefore, the tenths value of 112.786 (which is 7) increases by 1 to 8, so 112.786 rounded to the nearest tenth =112.8
Therefore the value of the given expression is 112.8.
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Data were collected on two variables, x and y, to create a model to predict y from x. A scatterplot of the collected data revealed a curved pattern with a possible cubic relationship (y=ax^3, where a is a constant) between the variables. Which of the following transformations would be most appropriate for creating linearity between the variables?
A - Taking the cube of y
B - Taking the cube root of y
C - Taking the cube root of both y and x
D - Taking the log of y
E - Taking the log of both y and x
Answer:
B - Taking the cube root of y
Step-by-step explanation:
Data provided in the question
y = ax^3
Based on the above information
Now we take the cube root of y
So, it would be calculated below:
y1/3 = a1/3 × x
So
As it can seen by the above equation there is a linear relationship between the cube root of y and x
Therefore, the correct option is B.
Hence, all the other options are wrong
Linearity is the concept used to describe linear relationships between variables.
The appropriate method for creating linearity between the variables is: (e) Taking the log of both y and x
The function is given as:
[tex]\mathbf{y = ax^3}[/tex]
The function is a power function (i.e. cube of x)
To create linearity between power function, we simply take the logarithms of both variables
So, we have:
[tex]\mathbf{\log(y) = a\log(x^3)}[/tex]
Apply law of logarithm
[tex]\mathbf{\log(y) = 3a\log(x)}[/tex]
Hence, the appropriate method for creating linearity between the variables is: (e) Taking the log of both y and x
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5. Translate this sentence into an equation. 23 more than Hector's savings is 75. Use the
variable h to represent Hector's savings.
Answer:
h+23=75
Step-by-step explanation:
This is true because x is basically h, and if its more then you add.
Find the midpoint M of the line segment joining the points R = (-3,-7) and S = (1, -1).
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{( - 1 \: , - 4)}}}}[/tex]
Step-by-step explanation:
Let the point R ( - 3 , - 7 ) be ( x1 , y1 ) and S ( 1 , -1 ) be ( x2 , y2 ).
[tex] \text{Finding \: the \: midpoint} : [/tex]
[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2 } \: , \frac{y1 + y2}{2} )}}[/tex]
[tex] \sf{➳midpoint = ( \frac{ - 3 + 1}{2} \:, \frac{ - 7 + ( - 1)}{2} })[/tex]
[tex] \text{Remember} : [/tex]
( + ) * ( - ) = ( - )( - ) * ( + ) = ( - )( + ) * ( + ) = ( + )( - ) * ( - ) = ( + )[tex] \sf{➳midpoint = ( \frac{ - 3 + 1}{2} \: , \frac{ - 7 - 1}{2} )}[/tex]
[tex] \text{Remember} : [/tex]
The positive integers are always added and posses the positive ( + ) sign.The negative numbers are always added but posses the negative sign ( - ).The negative and positive integers are always subtracted but posses the sign of the bigger integer.[tex] \sf{➳midpoint = ( \frac{ - 2}{2} \: , \frac{ - 8}{2} )}[/tex]
[tex] \sf{➳midpoint = ( - 1 \:, - 4})[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
[tex] \text{TheAnimeGirl}[/tex]
Find 5 solutions to the question.
Y=-1.5x+2
Answer:
☆< 《HOPE IT WILL HELP YOU》>☆
Step-by-step explanation:
Y=1.5x+2
(x=1)y=1.5 (1) +2
y=1.5+2
y=3.5
(x=2)y=1.5(2)+2
y=3+2
y=5
(x=3)y=1.5 (3)+2
y=4.5+2
y=6.5
(x=4)y=1.5 (4)+2
y=6+2
y=8
(x=5)y=1.5 (5)+2
y=7.5+2
y=9.5
please mark my ans as BRAIN LISTsolve the following : -6x(-2) =
Answer:
12
Step-by-step explanation: Just do 6 x 2
For the function h(x) = 9 + 6x , what is the domain of function h if the range is {-12, -3, 15, 24}? TIMED!WILL GIVE BRANLIEST!
A. {−3.5, −2, 1, 2.5}
B. {−3, 6, 24, 33}
C. {−63, −9, 99, 153}
D. {−0.5, 1, 4, 5.5}
Answer:
A. {−3.5, −2, 1, 2.5}
Step-by-step explanation:
Remember that the range is the possible values for Y in any given function, so in this case, we are given the Y values and we have to solve the function for x:
y=9+6x
6x=y-9
[tex]x=\frac{y-9}{6}[/tex]
So we just insert the values, the first one being -12.
[tex]x=\frac{y-9}{6}\\x=\frac{-21}{6}\\x=\frac{-12-9}{6}\\x=-3.5[/tex]
So since from the options only A has -3.5 as an option that's the correct answer.
Latoya drove 335 miles in 5 hours.
At the same rate, how long would it take her to drive 603 miles?
Answer:
It would take her 9 hours because she would be going 67mph
Step-by-step explanation:
335mph divided by 5 hours is 67mph
At her birthday party, Ms. Willow would not give her age directly. She said, 'If you add the year of my birth to this year, subtract the year of my 80th birthday and the year of my 30th birthday, and then add my present age, the result is 42.'
Ms. Willow's birth year = x
This year = 2020
80th birth year = x + 80
30th birth year = x + 30
Present age = 2020 - x
(x + 2020) - (x + 80 + x + 30) + (2020 - x) = 42
Simplify the right side.
-2x + 3930 = 42
Subtract 3930 from both sides.
-2x = -3888
Divide both sides by -2
x = 1944
1944 is Ms. Willow's birthday year.
As stated previously, her present age is 2020 - x, which equals 78
Ms. Willow is 78 years old
Here we want to interpret a word problem and transform it into an equation that we can solve.
We will find that her current age is 76.
First, let's define variables:
Her birth year = x
This year = 2021 (naturally this depends on the year we are on)
80th birth year = x + 80
30th birth year = x + 30
Then the actual age is the difference between the current year and the year when she was born:
Age = 2021 - x
What she says is:
"If you add the year of my birth to this year, subtract the year of my 80th birthday and the year of my 30th birthday, and then add my present age, the result is 42."
(x + 2021) - (x + 80 + x + 30) + (2021 - x) = 42
Now we can solve this for x:
x + 2021 - x - 80 - x - 30 + 2021 - x = 42
(x - x - x - x) + 2021 - 80 - 30 + 2021 = 42
-2*x + 3932 = 42
3932 - 42 = 2*x
3890 = 2*x
3890/2 = x = 1945
The current age is:
age = 2021 - x = 2021 - 1945 = 76
Her current age is 76.
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There are 22 students in a 6th grade class. For the class field trip, they went to the local museum. Admission to the museum was $7 a person. After going to the museum, they went to the art festival. Admission to the art festival was $4 a person. Each student paid $12 for the field trip and the bus. What is the total amount of money the teacher collected from the students?
Answer:
$264
Step-by-step explanation:
There is some useless information that you need to ignore. The only important numbers is 22 students that each paid $12, so multiply them together to get $264.
Answer:
528
Step-by-step explanation:
12*2=24
24*22=528
to celebrate the end of the school year, Gabby and her friends go out for pizza. the total bill is $37.84. if the 4 people split the cost evenly, how much does each person pay?
Answer:
9.46, u get this by dividing 37.84 by 4
Step-by-step explanation:
Answer:
9.46
Step-by-step explanation:
Solve r-x+2y = 1 for y
Answer:
y=(1-r+x)/2
Step-by-step explanation:
(r-x)+2*y=12*y=1-(r-x)y=(1-r+x)/2URGENT SOLVE
13 - 2n = 19
Answer:
n=−3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
13−2n=19
13+−2n=19
−2n+13=19
Step 2: Subtract 13 from both sides.
−2n+13−13=19−13
−2n=6
Step 3: Divide both sides by -2.
−2n/−2=6/−2
[tex]13 - 2n = 19[/tex]
Subtract sides -13
[tex]13 - 13 - 2n = 19 - 13[/tex]
[tex] - 2n = 6[/tex]
Divided sides by -2
[tex] \frac{ - 2}{ - 2}n = \frac{ 6}{ - 2} \\ [/tex]
[tex]n = - 3[/tex]
Done....♥️♥️♥️♥️♥️
the degree of non constant zero polynomial is
Answer:
it is zero . zero is the degree of zero polnomial
A shirt cost 160$ last week. The price of a shirt has increased 48$ this week. What was percentage increase in price?
Answer:
30%
Step-by-step explanation:
% = increase/original * 100%
= 48$/160$ * 100%.
= 48/160 * 100%
= 30%
Answer:
30%
Step-by-step explanation:
percentage=increased marks / marks before increased*100
=48/160*100
=30%
therefore the percentage increase in price is 30%
I hope this will help u
Best of luck
Help please help pre Algebra
Answer:
none is a solution...the solution.is -3
Grant is making muffins for a reunion. The recipe to makes 12 muffins. The recipe for bran muffins makes 18 muffins. He wants to make the same number of each kind of muffin using only recipes of each. A. What is the least number of each type of muffin Grant can make B. How many batches of each recipe will Grant make if he makes t number of each type of muffin possible? Blueberry: batches Bran: batches
Answer:
a 36
b 3 blueberry, 2 bran
Find the slope of the line that passes between the points (4, 3/8) and (6, 7/8)
Answer:
1/4
Step-by-step explanation:
We have two points, so we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 7/8 - 3/8 ) / ( 6-4)
= ( 4/8) /2
= 1/2 / 2
= 1/4
Use long division to convert the rational number 5/16 to its equivalent decimal form
Answer: the answer would be 0.3125
Just use a calculator and type in 5 divided by 16 :)
A friend asks to borrow $250 for 100 days and agrees to pay 36.5% annual simple interest. How much interest will you earn? Assume that one year has 365 days
Answer:
$25
Step-by-step explanation:
We express the interest rate r in decimal form, so we have r=36.5%=36.5100=0.365. We express the time t in years, so we have t=100365. The principal is P=250, so the interest is I=Prt=(250)(0.365)(100365)=$25. The interest earned is $25.
A firm makes bulldozers (B), cranes (C) and tractors (T) at two locations, New York City (NYC) and Los Angeles (LA). The matrices below show the number of each item made in each location for the months of January (J) and February (F).
B C T
J = NYC 144 474 274
LA 598 572 302
B C T
F = NYC 424 492 546
LA 596 530 164
Required:
Suppose the production for March of all products at all locations was the average of the January and February production. Write an expression using the matrices J and F for the March production matrix M.
Answer:
The expression is
[tex].\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ \ C \ \ \ \ \ T\\M = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{284}&{483}&{410}\\{597}&{551}&{233}{2}}\\\end{array}\right][/tex]
Step-by-step explanation:
From the question we are told that
The number of each items made in the month of January[J] is
[tex].\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ C \ \ \ \ \ \ T\\J = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{144}&{474 }&{274}\\{598}&{572}&{302}\\\end{array}\right][/tex]
The number of each items made in the month of February[F] is
[tex].\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ C \ \ \ \ \ \ T\\J = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{ 424}&{492}&{546}\\{596 }&{530}&{164}\\\end{array}\right][/tex]
Generally given that the production for March of all products at all locations was the average of the January and February production then the number of each items made in the month of March[M] is
[tex].\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ \ \ \ \ \ \ \ \ C \ \ \ \ \ \ \ \ \ \ \ T\\M = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{\frac{144 +424}{2}}&{\frac{474 +492}{2}}&{\frac{274 +546}{2}}\\{\frac{598 +596}{2}}&{\frac{572 +530}{2}}&{\frac{302+164}{2}}\\\end{array}\right][/tex]
=> [tex].\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ \ C \ \ \ \ \ T\\M = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{284}&{483}&{410}\\{597}&{551}&{233}{2}}\\\end{array}\right][/tex]
What is the approximate length of minor arc XZ
Answer:
3.7
Step-by-step explanation:
2r(pi)(∅/360)
2*3*(pi)*(70/360)
6*(pi)*(0.19444...)
3.665191429188092
3.7
A line of symmetry for the figure is shown in red. Find the coordinates of point A. (Photo attached)
Answer:
a. Coordinate of A (-4,-1)
b. Coordinate of A (4,4)
c. Coordinate of A (-2,2)
Round to the nearest tenth: 0.087
Answer:
0.1
Step-by-step explanation:
When rounding, look at whether or not the number is less than 5, or greater than or equal to 5.
If it is greater than 5, you will round up to the next number.
In this number, 8 is greater than 5. This means to the nearest tenth, it will be rounded to 0.1
Answer:
0.1
Step-by-step explanation:
0.087
The number to the right of the decimal is always the tenth's place. To the left of the decimal is the one's place 8 is a high number, so you are rounding up because 5 or higher is always a high number. If it was a low number, you round down because a low number is 4 and under.
Hope this helps
Arrange the fraction in asending and desending order 4/5 , 2/15 , 2/30
Answer:
See below
Step-by-step explanation:
Given fractions
4/5, 2/15, 2/30To arrange the fractions we need to bring them to common denominator
LCM(5,15,30) = 304/5 = 24/302/15 = 4/302/30In ascending order
2/30, 4/30, 24/30Reverse order
24/30, 4/30, 2/30HELP THIS IS MY LAST MATH QUESTION PLEASE HELP MEEEE!
Answer:
length =6 2/3 option 2.......
Can you please solve? And if anyone can please explain how to do this, thank you so much!
Answer:
15
Step-by-step explanation:
Both angles can add up to 180, so what I did was 7t-6 plus 5t+6=180. From there, I combined both positive 6 and negative 6 to which they cancel out. All that leaves is 7t+5t, which is 12t. Finally leaving 12t=180, so divided both sides by 12 to remove the 12 from 12t. 180/12=15. I think this is correct, but I am not sure. Please do check
Answer:
15
Step-by-step explanation:
ig my question was deleted lol
at the bank , mr smith changes a e5 note for 20p pieces . how many 20 pieces does he have
Answer:
it should be 25
Step-by-step explanation:
£500 = 500p
500 ÷ 20 = 25
what is the slop between (2,7) and (10,22) on fraction form
Answer:
m=15/8
Step-by-step explanation:
Slope intercept form- Y=mx+b
Slope- 15/8x
Y- intercept- (0,13/4)
p- 6= -5 what is the answer (NEED HELP)
Answer:
P=1
Step-by-step explanation:
1-6=-5
Same has 3 apples Carly has 8 how many apples do Sam Carly have together