A scientific theory is a validated explanation of some aspect of the natural world, based on multiple facts that have been frequently verified through research and experimentation. Fact theories are not "guesses" but reliable accounts of the real world.
What do the intervals [0, 6], [0, 6), and (0, 6) have in common? What makes them different?
Answer:
[0,6] means that its the numbers from 0 through 6 containing 0 and 6
[0,6) means that it contains the numbers from 0 through 6 containing 0 but not 6
(0,6) means that it contains the numbers from 0 through 6 containing not 0 or 6.
Step-by-step explanation:
Multiply (3)(-4)(2)
1. -48
2. -24
3. 24
4. 48
Kamal prepares 2 kilograms of dough every hour he works at the bakery. Write an equation that shows the relationship between the hours worked x and the dough prepared y. *
Answer:
2 into x into y
Step-by-step explanation:
Let f(x) = 4x + 8 and g(x) = 2x - 12. Perform the function operation, (f - g)
(x), and then find the domain of the result.
Answer:
See below.
Step-by-step explanation:
So we know that:
[tex]f(x)=4x+8\text{ and } g(x)=2x-12[/tex]
First, know that:
[tex](f-g)(x)[/tex]
Is the same as:
[tex]=f(x)-g(x)[/tex]
Substitute:
[tex]=(4x+8)-(2x-12)[/tex]
Distribute:
[tex]=4x+8-2x+12[/tex]
Combine like terms;
[tex]=2x+20[/tex]
Thus:
[tex]f(g(x))=2x+20[/tex]
This is simply a linear equation.
Thus, the domain is all real numbers.
In interval notation, this is:
[tex](-\infty, \infty)[/tex]
For the residual plot below, explain whether the plot shows a linear or non-linear model and why.
Answer:
It is a linear model
Step-by-step explanation:
The answer choices imply that you can model the relationship between the variables with a line or curve.
find the relevant data points on the scatter plot and draw a line of best fit to visualize this relationship. The line of best fit should be drawn through appropriate points. The only far away point can be ignored. The line of best fit need not pass through the majority of the points.
According to the scatter plot and the line of best fit, it will be seen that as X - variables increases, Y - variable decreases, leading to a strong negative correlation.
The Majority of the data points are fairly close to the line of best fit, which means the correlation is strong.
Suppose the function H(t) gives the heart rate of a runner at various points in time (in minutes) during a 5 mile run, which takes the runner 57 minutes and 30 seconds to complete. The runner's heart rate never goes above 185 beats per minute. Describe an appropriate domain this function
Answer:
[0, 57.5]
OR
0 - 57.5
Step-by-step explanation:
Given the function [tex]H(t)[/tex] which gives the heart rate as per time.
That means Heart rate of the runner changes according to time.
[tex]H(t)[/tex] is a function which takes Time as input as observed by the function's representation. In bracket, there is [tex]t[/tex].
That also means time [tex]t[/tex] is the input to the function [tex]H(t)[/tex].
It is also given that during the time as the runner runs, the heart beat will change.
The output of the given function will be Heart beat of the runner.
Time taken to complete the run is given as 57 minutes and 30 seconds.
Domain of a function is the valid inputs that can be given to the function for which the output of the function is defined.
Here, time in minutes is the input to the function.
So, maximum time can be 57.5 minutes.
And as the runner will start from the time = 0 minutes
So, the valid inputs can be from 0 to 57.5 minutes.
Therefore, the domain is [0, 57.5]
OR
0 - 57.5
What is the value of (-140 ^0) ^ -2
Answer:
1
Step-by-step explanation:
[tex](-140 ^0) ^ -2\\1^-2\\1\\[/tex] (Any number whose exponent in 0, becomes 1)
Jordan wants to solve the following system using the elimination method:
2x + 3y = 10
x + y = 7
What number should the equation x + y = 7 be multiplied by to eliminate y?
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
2x + 3y = 10 → (1)
x + y = 7 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate y
- 3x - 3y = - 21 → (3)
Add (1) and (3) term by term to eliminate y, that is
- x = - 11 ( multiply both sides by - 1 )
x = 11
Substitute x = 11 into either of the 2 equations and evaluate for y
Substituting into (2)
11 + y = 7 ( subtract 11 from both sides )
y = - 4
Solution is (11, - 4 )
B (-3,3) A (-5,-4) what is the mud point of AB
Answer:
(-4, -1/2)
Step-by-step explanation:
The midpoint between two points (x₁, y₁) and (x₂, y₂) is given by:
((x₁ + x₂)/2, (y₁ + y₂)/2)
So in this case:
((-3 - 5)/2, (3 - 4)/2) = (-8/2, -1/2) = (-4, -1/2)
Which of the following is true given that 2.1 < 2.8?
A.
2.1 is to the right of 2.8 on a horizontal number line
B.
2.1 is at the same place as 2.8 on a horizontal number line
a.
2.1 is to the left of 2.8 on a horizontal number line
KDD
2.1 is the opposite of 2.8 on a horizontal number line
Answer:
[tex]\large \boxed{\mathrm{2.1 \ is \ to \ the \ left \ of \ 2.8 \ on \ a \ horizontal \ number \ line}}[/tex]
Step-by-step explanation:
[tex]2.1<2.8[/tex]
[tex]\sf 2.1 \ is \ lesser \ than \ 2.8.[/tex]
[tex]\sf A \ number \ that \ is \ lesser \ than \ another \ number \ is \ to \ the \ left \\ \ of \ that \ number \ on \ a \ horizontal \ number \ line.[/tex]
Answer:1 is to the left of 2.8 on a horizontal number line
Step-by-step explanation:
Order the numbers from least to greatest. 1=least and 4=greatest
LaTeX: \sqrt{\frac{9}{4}}9 4
LaTeX: \sqrt{5}5
LaTeX: 2.52.5
LaTeX: \frac{5}{3}
Answer:
[tex]\sqrt{\frac{9}{4}}[/tex] [tex]\frac{5}{3}[/tex] [tex]\sqrt{5}[/tex] [tex]2.5[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{\frac{9}{4}}[/tex]
[tex]\sqrt{5}[/tex]
2.5
[tex]\frac{5}{3}[/tex]
Required
Order from least to greatest
Start by simplifying each expression
[tex]\sqrt{\frac{9}{4}}[/tex]
Split square root
[tex]\frac{\sqrt{9}}{\sqrt{4}}[/tex]
Take square root of numerator and denominator
[tex]\frac{3}{2}[/tex]
[tex]1.5[/tex]
Hence
[tex]\sqrt{\frac{9}{4}} = 1.5[/tex]
-----------------------------------------------------------
[tex]\sqrt{5}[/tex]
[tex]\sqrt{5} = 2.2361[/tex] (Approximated)
-----------------------------------------------------------
[tex]2.5[/tex]
-----------------------------------------------------------
[tex]\frac{5}{3}[/tex]
[tex]\frac{5}{3} = 1.6667[/tex]
Considering the simplified expression; the number from least to greatest is:
[tex]\sqrt{\frac{9}{4}}[/tex] [tex]\frac{5}{3}[/tex] [tex]\sqrt{5}[/tex] [tex]2.5[/tex]
5y-5y^2-5+2+2y+3y^2-1
Answer: -2y^2+7y-4
Step-by-step explanation:
Combine -5y^2 and 3y^2 to get -2y^2.
Combine 5y and 2y to get 7y.
Combine -5, 2, and -1 to get -4.
Put these in order with the highest exponent first.
-2y^2+7y-4
Use the graphing tool to find the local minimum and the
local maximum for the given function.
Over the interval (-3,-1], the local minimum is
Over the interval (-1,0], the local maximum is
Over the interval [0, 3], the local minimum is
Answer:
*Over the interval (-3,-1], the local minimum is 0
*Over the interval (-1,0], the local maximum is 4.39
*Over the interval [0, 3], the local minimum is -32
here’s my answer hope I got it right!
Answer:
1. 0
2. 4.39
3. -32
Step-by-step explanation:
Solve: -5 + 7 - 6 - (-4) *
Answer:
0
Step-by-step explanation:
-5 + 7 - 6 - (-4)
-11 + 7 - (-4)
-11 + 7 +4
-11 + 11
= 0
Answer: 0
Step-by-step explanation:
-5 + 7 -6-(-4)
-5 + 7 -2
-5+ 5 = 0
In the set of numbers from 1 to 10, which elements are in both the subset of even numbers, and the subset of multiples of 5?
Answer:
10
Step-by-step explanation:
Let A = set of numbers from 1 - 10
A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Let B = subset of A which are even numbers
B = {2, 4, 6, 8, 10}
Let C = subset of A which are multiples of 5
C = {10}
which elements are in both the subset of even numbers, and the subset of multiples of 5:
AnB means elements which appears in both set B and C
BnC = {5}
Y = (x+2) (-X-1)
Answer the question using null law
Answer:
x = - 2, x = - 1
Step-by-step explanation:
Given
y = (x + 2)(- x - 1)
To solve for x let y = 0, that is
(x + 2)(- x - 1) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
- x - 1 = 0 ⇒ - x = 1 ⇒ x = - 1
Step-by-step explanation:
y=(x+2) (-x-1)
(45) - (+14)
y= (x+2) (-x-1)
y=-2
HELP ME ASAP PLEASE!!!
Answer:
idk
Step-by-step explanation:
the circumference of a circle is 176m.find its diameter
Circumference of a circle = 176 m
To be calculated:-Calculate the diameter.
Formula used:-Circumference of circle = 2πr
Solution:-We know that,
Circumference of circle = 2πr
=> 176 = 2 × 22/7 × r
=> 176 × 7 = 44 × r
=> 1232/44 = r
=> r = 28 m
Convert percentage into decimals and fractions a.20% b.71% c.75% d.62.5%
Answer:
1/5 = 0.271/100 =0.713/4 = 0.750.625Step-by-step explanation:
a.
[tex]20\%\:\\\\20\%\:=\frac{20}{100}\\\\\mathrm{Simplify}\:\frac{20}{100}\\\\=\frac{1}{5}\\\\\frac{1}{5}:\quad 0.2[/tex]
b.
[tex]71\%\:\\\\71\%\:=\frac{71}{100}\\\\=\frac{71}{100}\\\\\frac{71}{100}:\quad 0.71[/tex]
c.
[tex]75\%\:\\\\75\%\:=\frac{75}{100}\\\\\mathrm{Simplify}\:\frac{75}{100}\\\\=\frac{3}{4}\\\\\frac{3}{4}:\quad 0.75[/tex]
d.
[tex]62.5\%\\\\= \frac{62.5}{100}:\\\\\quad 0.625\\[/tex]
3.3 x 10^11 in standard notation
Answer:
330,000,000,000
Step-by-step explanation:
Move the decimal to the right eleven times!
Answer:
3.3*10¹¹ = 330000000000
Step-by-step explanation:
3.3*10¹¹ = 330000000000
I NEED HELP PLEASEEEEE :(
Answer:
4
Step-by-step explanation:
4x4x4x4=256
Usha had a balance of -$84. She worked for 6 days and put half the money in the bank. Now she had a balanve of -$45. How much does Usha get paid every day for newspaper delivery?
Answer:
Per day earning is $1.
Step-by-step explanation:
Initial balance that Usha had = $84
Number of working days = 6 days
Total money after working 6 days = $45 × 2 = $90
Since we know that the initial amount is $84 and the final amount is $90. Thus the amount earned by working 6 days is 90 – 84 = $6.
Now we have to calculate the per day earning. Therefore, just divide the earning with number of days.
Per day earning = $6 / 6 = $1
Kim read 3 books in 2 hours. She took the same amount of time to read the
first 2 books. She took 15 minutes longer to read the third book than the first
How many minutes did she take to read the third book?
Answer: Kim took 50 minutes to read the third book.
Step-by-step explanation: If you substract 120 - 15 = 105. Then divide 105 / 3 = 35. And finally add 35 + 15 = 50.
Which value of x satisfies the equation 1/2 (x+ 5/2)= 15/4?
Answer:
x = 5
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] (x + [tex]\frac{5}{2}[/tex] ) = [tex]\frac{15}{4}[/tex]
Multiply both sides by 4 to clear the fractions
2(x + [tex]\frac{5}{2}[/tex] ) = 15 ← distribute parenthesis on left side
2x + 5 = 15 ( subtract 5 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Answer:
x = 5
Step-by-step explanation:
i solved x using trial and error
1/2 (x+ 5/2)= 15/4
so i tried with 2
1/2 (2 + 5/2)= 9/4
which is too less, so i tried with 7
1/2 (7+ 5/2)= 19/4
which is too big, so i tried with 6
1/2 (6+ 5/2)= 17/4
which is nearly there and i tried with 5
1/2 (5+ 5/2)= 15/4
and it came exactly
Which expression is equivalent to 2+9
Answer:
2+9 is 11
so write any expression that equals 11 like...
1+10=11
2+9=11
3+8=11
4+7=11
5+6=11
and those above are all example of expression that is equivalent to 2+9
Answer: C ON EDGE 2021
Step-by-step explanation:
-4(x-5 ) - 25 = -5 x =?*
Answer:
x=0
Step-by-step explanation:
First distribute -4 to x and -5 and get -4x+20-25=-5
Then you combine like terms and get -4x-5=-5
Then add 5 to both sides and get -4x=0
Then divide both sides by -4 and get x=0
Joshua sold his bike for 10% less than payed for it. If he sold the bike for $585, how much did he pay for it.
Answer: $650
Step-by-step explanation:
If he sold the bike 10% less than the original amount which means he sold it as a 10% discount so the person has to pay 90% of the price. And 90% of the price has to equal $585 so we could set up an equation and solve for the price.
90% * x = 585
0.9 * x = 585
0.9x = 585
x = 650
Which means he paid $650 for the bike.
A person ran 300 yards ran how many feet did he run
Answer:
900 feet
Step-by-step explanation:
300 yards converted to feet is 900 ft.
Madeline usually makes 85% of her shots in basketball. if she attempts 20, how many will she likely make?
Answer:
17
Step-by-step explanation:
If you divide 20 by 100 then multiply by 85 you get the number shes likely to make
Answer:
17
Step-by-step explanation:
She will make 17 shots because:
[tex]\frac{85 x 20}{100}[/tex] = 17.
So, the answer is 17. Hope this helps!
What will be the location of U’ in the image trapezoid S’T’U’V’?
Answer:
(14,1)
Step-by-step explanation:
You can see with the LKMJ rectangle, it moves over 7 and up 3.
We can do this for STUV and U is originally (7,-2) but moves up and right to the point (14,1)