Answer: a. Plotting a graph of the data on a graph paper, you can represent the time on the x-axis and the temperature on the y-axis. And plot the given points (15,20), (30,30), (45,40), (60,50), (75,60), (90,70) as ordered pairs on the graph. This will give you a line graph, showing the temperature increasing over time.
b. To find the linear model, T(x), for the temperature of the liquid with respect to time, you can use the slope-intercept form, y = mx + b, where y is the temperature, x is the time, m is the slope and b is the y-intercept. Using two of the given points, you can find the slope of the line by calculating the change in y over the change in x,
m = (y2 - y1) / (x2 - x1).
where x1,y1 and x2,y2 are two distinct points on the graph.
Once you have the slope, you can use one of the points to find the y-intercept, by substituting the point's coordinates into the slope-intercept form equation and solving for b.
Once you have the slope and y-intercept, you can write the linear model as T(x) = mx + b
c. To find the temperature of the water after 85 minutes, you can substitute the value of x = 85 into the linear model equation that you found in the previous step to get the corresponding value of y (temperature).
Please keep in mind that the temperature and time value here are random and are not based on any real-life scenario, and they were provided to show you the concept of linear model.
Step-by-step explanation:
What are the factors of the expression 2x^2 5x 12?
[tex](x- (\frac{-5+71i }{4}))[/tex] and [tex](x- (\frac{-5-71i }{4}))[/tex] are factors of the quadratic expression.
2x^2 + 5x + 12
Consider given quadratic expression.
2x^2 + 5x + 12
Let f(x) = 2x^2 + 5x + 12
Assume f(x) = 0
2x^2 + 5x + 12 = 0
using the Quadratic Formula where
a = 2, b = 5, and c = 12
[tex]x = \frac{-b\pm \sqrt{b^2 - 4ac} }{2a} \\\\\\x = \frac{-5\pm \sqrt{5^2 - 4(2)(12)} }{2\times2} \\\\\\x = \frac{-5\pm \sqrt{25 - 96} }{4} \\\\\\x = \frac{-5\pm \sqrt{-71} }{4}[/tex]
The discriminant b^2 - 4ac < 0.
So, there are two complex roots.
[tex]x = \frac{-5\pm71i }{4}[/tex]
This means, [tex](x- (\frac{-5+71i }{4}))[/tex] and [tex](x- (\frac{-5-71i }{4}))[/tex] are factors.
2x^2 + 5x + 12
= [tex](x- (\frac{-5+71i }{4}))[/tex] × [tex](x- (\frac{-5-71i }{4}))[/tex]
Learn moreabout an expression here:
https://brainly.com/question/30091997
#SPJ4
someone help me with this please!! if it’s correct ill mark you as brainliest
Answer:
P(has 32 GB) = .382
Step-by-step explanation:
There are 75 + 95 + 42 + 63 = 275 total tablets
There are 42 + 63 = 105 tablets of 32 GB
P(has 32 GB) = 105/275 = .382
can someone help me with these questions
when journalizing an accounts payable account what account is debited
a. accounts payable
b. it depends on the transaction
c. cash
d. accounts receivable
Compare the function ƒ(x) = 4x + 2 to the function shown in the graph. Which statements are correct?
Responses
A The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.
B The graphed function has a greater rate of change than the function ƒ(x) = 4x + 2.The graphed function has a greater rate of change than the function ƒ(x) = 4x + 2.
C The function ƒ(x) = 4x + 2 has a x-intercept with a greater value than the graphed function.The function ƒ(x) = 4x + 2 has a x-intercept with a greater value than the graphed function.
D The function ƒ(x) = 4x + 2 and the graphed function have the same slope.The function ƒ(x) = 4x + 2 and the graphed function have the same slope.
E The graphed function has a y-intercept with a greater value than the function ƒ(x) = 4x + 2.
The correct statement regarding the comparison of the linear functions f(x) and the graphed function is given as follows:
A. The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the y-intercept, representing the initial value.The function f(x) is given as follows:
f(x) = 4x + 2.
The parameters are given as follows:
Rate of change of 4.Intercept of 2.For the function g(x), we have that:
The rate of change is of 2, as when x increases by 2, y increases by 4, hence m = 4/2 = 2.The intercept is of 4, as the function crosses the y-axis at y = 4.Hence the correct option is given by option a, as the function f(x) has a greater rate of change, of 4, compared to the graphed function, of 2.
Missing InformationThe graphed function is given by the image presented at the end of the answer.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
A middle school principal asks Mike and Gregory for help in determining the approximate number of students in the school who are interisted in attending a summer camp. - The principal gives Mike and Gregory an alphebetical list of the names of all the students in the school. - There are about the same number of students in each of the 6th, 7th, and 8th grades. Mike and Gregory each use the list to choose a sample of students to survey in order to make a conclusion. - Mike chooses the name of every student in 7th grade on the list. -Gregory chooses the name of every 3rd student on the list. Based on this information, determine which student can make a valid conclusion and why the conclusion can be valid. PLEASE HELP ME WITH THIS QUESTION.
Based on this information, Gregory can make a valid conclusion.
What are Sampling Methods?Sampling methods are methods used to create a sample in for a survey. There are probability sampling methods as well as non probability sampling methods.
Given sampling method done by two students, Mike and Gregory, to choose a sample of students to survey the students interested in summer camp.
Names of students are listed in an alphabetical order.
Mike chooses the name of every student in 7th grade on the list and Gregory chooses the name of every 3rd student on the list.
The sampling of Mike will lead to sampling bias. Here the conclusion which can be made about the total population is weaker because only the students of particular class is attending. Conclusions may be more limited.
Whereas in the case of sampling of Gregory, he uses one of the probability sampling method called systematic sampling method. The sampling using probability sampling method is more convenient as it has less sampling bias as well as research bias.
Hence Gregory can make a valid conclusion in this case.
To learn more about Sampling Methods, click :
https://brainly.com/question/23683477
#SPJ1
7th Grade math if anyone knows
Answer:
30° and 150°
Step-by-step explanation:
Supplementary angles sum to 180°
sum the parts of the ratio, 1 + 5 = 6 parts
Divide 180° by 6 to find the value of 1 part of the ratio
180° ÷ 6 = 30° ← value of 1 part of the ratio , then
5 parts = 5 × 30° = 150°
smaller angle = 30°
larger angle = 150°
Find the perimeter of the rectangle. Be sure to write the correct unit in your answer.
13 ft side
18 ft bottom
Answer:
perimeter = 2*length + 2*width
2x13 + 2x18 = 62ft
hope that answers your question
Step-by-step explanation:
HELPPPPP NO LINKS PLEASEEEE
Answer:
180
Hope this helps
Step-by-step explanation:
Answer:
x = 13
Step-by-step explanation:
(8x - 46) + (10x - 8) = 180
18x - 54 = 180
+54 +54
18x = 234
/18 /18
x = 13
Check work:
8(13) - 46 = 10(13) - 8
8(13) - 46 = 58
10(13) - 8 = 122
58 + 122 = 180
what’s the equation for this graph pls help me :)
Answer:
y=-1/8x
Step-by-step explanation:
An experiment was conducted to evaluate the success of an Ebola virus vaccine. The subjects were unaware of the treatment they were given. What is this type of blinding used to prevent? Grounds for malpractice suits Subjects assigned randomly to treatments A possible source of bias Injury to the subjects The placebo effect
This type of blinding is used to prevent a potential source of bias in the experiment. By keeping the subjects unaware of the treatment they are receiving, the researchers can eliminate the possibility of any psychological effects influencing the outcome of the study. This is particularly important in cases where a treatment is being evaluated for subjective outcomes such as pain, anxiety, or depression, as the subjects' expectations and beliefs can influence their perception of the treatment's effectiveness. By keeping the subjects blinded to their treatment, researchers can ensure that the results of the study are as unbiased as possible.
To know more about potential sources of bias, refer to the link:brainly.com/question/29842047
#SPJ4
Evaluate the expression if x = 6
3x + 5 =
Answer:
=
6
3
+
5
Step-by-step explanation:
the asnwer is x=63x+5
5 3/8- 4 1/15 thank you if you can help I need a solution
Here is your Answer !!!
HOPE IT HELPS :)
Answer:
1 37/120
Step-by-step explanation:
Camille thinks that -(-4) has a positive value and Laura thinks -(-4) has a negative value. Who is correct?
Find the equation of a line in General form passes through the points (7,5) and (-9,5)
Answer:
Step-by-step explanation:
54×54
Kasey is training to run a 5-kilometer race. He started by running 1 kilometer the first day, then adds 500 meters each week. During what week will Kasey run 5 kilometers?
Answer:
yes
Step-by-step explanation:
Thomas wants to buy a new baseball bat. The one he likes costs $130, but it is on sale for $104. What is the percent of the discount Tomas will get if he buys the bat
On solving the provided question we can say that the percentage discount will be equal to 20%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
Tomas wants to buy a new baseball bat. T
he one he likes costs $130, but it is on sale for $104.
The discount percentage will be calculated as:-
( $130 - $104) = $26
( 26 / 130) x 100 = ( 2600 / 130 ) = 20%
the discount will be equal to 20%.
To know more about percentage visit:
https://brainly.com/question/28269290
#SPJ4
A red die is tossed and then a green die
is tossed. What is the probability that
the red die shows an even number or
the green die shows an even number?
Make sure your answer is reduced.
The probability that the red die shows an even number or the green die shows an even number is 3/4
How to determine the probability?The sample space of a die is:
S = {1,2,3,4,5,6}
There are 3 even numbers in the above sample space
This means that the probability that a die shows an even face is:
P(Even) = 3/6 = 1/2
So, we have:
P(Even Red) = 1/2
P(Even Green) = 1/2
The required probability is then calculated as:
P = P(Even Red) + P(Odd Red) - (P(Even Red) * P(Odd Red))
This gives
P = 1/2 + 1/2 - 1/2 * 1/2
Evaluate
P = 3/4
Hence, the probability is 3/4
Read more about probability at:
https://brainly.com/question/25870256
#SPJ1
Be so kind and help me please!
Answer:
2A/h - b2= b1
Step-by-step explanation:
Given f(x) = -x² - 2x + 12, find f(8)
Answer:
f(8) = -68
Step-by-step explanation:
f(x) = -x² - 2x + 12
f(8) = ?
We just need to put 8 in for the x and solve it
f(8) = -(8)^2 -2(8) + 12
f(8) = -64 -16 +12
f(8) = -80 + 12
f(8) = -68
On Time
Late
You want to find the quickest route to school. You map out three routes.
Before school, you randomly select a route and record whether you are
late or on time. The table shows your findings.
a. Find Plyou are on time given you take Route A)
Route A
Route
B1
Route
CH II
b. Assuming you leave at the same time each morning, which route should you use? Explain.
Route B: You arrived on time 11 out of 14 times or about 79% of the time.
Find the midpoints of the line segment
Fine the distance between each pair of the points
Answer: #18 is (1/2,0)
#19 (0,-1)
#20 5
#21 8√2 or 11.313708498985
Step-by-step explanation:
please help: find the value of x
please answe if you know answers
Answer:
i dont really know answers sorry just bored lol
If the sum of two consecutive numbers is 23, find them.
The first number is 11 and second number is 12.We can find by solving two consective numbers.
What are Consecutive Numbers in Math?Consecutive numbers are numbers that follow each other in order from the smallest number to the largest number. The difference between consecutive numbers is always fixed and it follows a pattern. For example 1, 2, 3 are the first three consecutive natural numbers.
What is the sum of consecutive?An odd number of consecutive numbers has a whole number as an average. This average is always the middle number. So that means that the sum of the numbers will be Sum = average \times number of consecutive numbers.
Now we find
Let x be a first number and x+1 be a second number.So
x+x+1=23
2x+1=23
2x =23-1
2x =22
x = 11
x+1= 11+1=12
To learn more about consective number visit;
https://brainly.com/question/5186943
#SPJ1
Evaluating Linear Functions
The value of linear equations are f(x) = -17 and f(x) = -73 .
What is linear equation ?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).
Equation with two variables of degree one is referred to as a linear equation with two variables. Formal expression: ax+by+c=0, where a, b, c R & a, b 0.
A)
f(x) = -2x + 7 when x = -12f (x) = -2*12 + 7
= -24 + 7
= -17
f(x) = 5x - 13 when x = -14f(x) = 5*-14 - 13
= -60 -13
= -73
To learn more about linear equation from the given link
https://brainly.com/question/2030026
#SPJ1
HELP PLEASE!! 20PTS!!!! NO LINKS
Answer:
w = 9
m <4 = 157
m<2 = 23
Step-by-step explanation:
The measure of the arc of a straight line is 180⁰.
so angle 1 + angle 3 = 180⁰.
(3w - 4) + 157 = 180
3w = 27
w = 9
Answer:
w = 9
m 4 = 157
m<2 = 23
Step-by-step explanation:
3*9 - 4 = 23
23 + 157 = 180 so it is correct.
180 - 23 = 157
Have a nice day!
Find the missing probability
P(A)=.3 P(B).4 P(A or B) = ? P(A and B) = .2
Answer:
0.5Step-by-step explanation:
P(A) = 0.3 P(B) = 0.4 P(A ∪ B) = 0.2P(A∩B) = xUse below formula and find the missing probability:
P(A∪B) = P(A) + P(B) - P(A∩B)0.2 = 0.3 + 0.4 - xx = 0.7 - 0.2x = 0.5A hot-air balloori rises 500 feet and then sinks 500 feet.
What was the net change in the elevation of the balloon?
Answer:
0
Step-by-step explanation:
Have a great day!
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
Which of the following system of inequalities represents the graph below?
A - 6x + 3y < 12 and 2y - x ≤ -2
B - 6x - 3y < 12 and 2y - x ≤ -2
C - 6x - 3y < 12 and 2y - x ≥ -2
D - 6x + 3y < 12 and 2y - x > -2
Answer:
c
Step-by-step explanation:
i think ...