Answer:
95.5 °F
Step-by-step explanation:
A linear regression model is used to represent the relationship between two variables in form of a linear equation. A linear regression line equation is in the form Y = a + bX, where X is the independent variable, Y is the dependent variable, b is the slope of the line and a is the Y intercept (the value of y when x = 0).
Given that x represents the temperature (°F) and y represents the number of ice cream cones sold.
We have the equation as y = 1.8x - 76.9.
Given a 95 ice cream cones sold, to find the temperature, we substitute y = 95 and find x:
y = 1.8x - 76.9
95 = 1.8x - 76.9
1.8x = 95 + 76.9
1.8x = 171.9
x= 95.5 °F
When they sell 95 ice cream cones, the temperature is approximately 95.5 °F
Question 1 Imaginary & Complex Numbers-Addition & Subtraction Solve the following: (7 – 21) – (2+61) = O 9 +82 O 5 - 42 0 5 - 82 0 5+ 8i
Answer:this did not work for me
Step-by-step explanation:
Graham decided to play football this year instead of getting a part-time job. Last year he made about $1,100 during football season. He also spends about $9 on eating out after each game. His team plays a 10-game season. What is his opportunity cost of playing football?
10,091 because it's a 10 season football season and he spends 9 dollars every game
Step-by-step explanation:
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The opportunity cost of playing football for Graham is $1,190.
What is the Opportunity cost?The opportunity cost of certain activity in microeconomic theory is the value or gain given up by engaging in that activity in comparison to engaging in an alternative activity. Simply put, if you do a bone activity, you forfeit the potential to choose another.
Given that Graham made $1,100 during football season. Also, Graham spends about $9 on eating out after each game and his team plays a total of 10 games in a season.
Therefore, the opportunity cost of playing football for Graham is,
Opportunity cost
= Amount that Graham would have made in a part-time job + Total cost of playing football season
= $1,100 + (Number of games × Amount spend in a single game)
= $1,100 + (10×$9)
= $1,100 + $90
= $1,190
Hence, the opportunity cost of playing football for Graham is $1,190.
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At 3 P.M., the temperature was 9 degrees fahrenheit. By 11 P.M., it had
dropped 31 degrees fahrenheit. What was the temperature at 11 P.M.?*
Answer: -22 degrees
Step-by-step explanation:
Can anyone find the value of the variables!
Answer:
5) x:-7.5
6) y:7.8
7) a:-11
8) y:1
Step-by-step explanation:
“How mathematics is involved in Merchandising?”
Answer:
You have to have the number of items you paid for and know what numbers you're calculated at checkout.
Question 7 of 10
Describe the nature of the roots for this equation. x²+3x-7=0
A. One real, double root
B. Two real, irrational roots
C. Two real, rational roots
D. Two complex roots
Answer:
B
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real irrational roots
• If b² - 4ac > 0 and a perfect square then 2 real rational roots
• If b² - 4ac = 0 then 1 real double root
• If b² - 4ac < 0 then 2 complex roots
Given
x² + 3x - 7 = 0 ← in standard form
with a = 1, b = 3, c = - 7 , then
b² - 4ac
= 3² - (4 × 1 × - 7) = 9 + 28 = 37
Since b² - 4ac > 0 then 2 real irrational roots
2= f/8 f= solve the equation
Paula knows the total cost for 100 students will be $750, and the cost total cost for 150 students is $1050. What is the caterer’s fixed cost and the rate per student served?
Step-by-step explanation:
the price charged for 100 students reflects the cost per student that applies to the order as a whole.
100 * 6 = $600, so the fixed cost is 750-600 = 150.
...
We can check this by substituting in the other equation.
Does 150*6 + 150 = 1050?
150*6=900
900+150 = 1050.
Yes, it does
...
We can express this relationship by the equation:
y = mx + b
where
y = total cost
m = $6 per student
x = number of students
b = fixed costs = 150
y = 6x + 150
The caterer’s fixed cost and the rate per student served is $6 and $150
How to choose what quantity to multiply the first equation?This method is actually called method of elimination to solve a system of linear equations.
We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).
If we have equations:
[tex]a_1x + b_1y = c_1\\a_2x + b_2y = c_2[/tex]
then, if we want to eliminate variable x, then we have to multiply equation 1 with
[tex]-\dfrac{a_2}{a_1}[/tex]
which will make coefficient of x in first equation as
[tex]a_1 \times - \dfrac{a_2}{a_1} = -a_1[/tex]
Then adding both equation will eliminate the variable x.
Given;
Cost of 100 students= $750
Cost of 150 students= %1050
Let the fixed cost of caterer be x
and the cost per student be y
x+100y=750...(1)
x+150y=1050...(2)
solving the above equations;
50y=300
y=6
x=750-600=150
The fixed cost is $150, while the per-student cost is $6.
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An experiment involving learning in animals requires placing white mice and rabbits
into separate, controlled environments, the environment I and environment II.
The maximum amount of time available in the environment I is 500 minutes, and the maximum
amount of time available in environment II is 600 minutes.
The white mice must spend 10 minutes in environment I and 25 minutes in environment II, and
the rabbits must spend 15 minutes in environment I and 15 minutes in environment II. Identify which set of constraints and objective function is correct? x=white mice and y=rabbits
Answer:
Kk Kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Following are the calculation to the given question:
Suppose x represents a number of white mice while y denotes the number of bunnies.10 minutes is the time needed by mice in habitat 1.15 minutes is indeed the time required by the rabbit in habitat 1.Overall time needed [tex]= 10x + 15y[/tex]In environment 1, the maximum allowed time is 500 minutes.[tex]\bold{10 x +15y \leq 500}[/tex]
Likewise,
Mice need 25 minutes in environment 2 to complete their tasks.15 minutes is indeed the time taken by a rabbit in environment 2.Overall time needed [tex]= 25x + 15y[/tex]In environment 2, the maximum amount of time accessible is 600 minutes.Hence, the answer is " [tex]\bold{25x +15y \leq 600}[/tex]".
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I need help plss
Hola
Solve For y:
-1/2=3/8y
y=
Answer:
y = -4/3
Step-by-step explanation:
multiply each side with a reciprocal of 3/8 which is 8/3.
8/3 * -1/2 = -4/3
Answer:
-4/3
Step-by-step explanation:
How many works can be formed for rearranging the letters of the word PROBLEMS such that P and S the first and last position respectively
Your bedroom wall is 150 inches wide. You want to hang two posters, each 27 inches across, with an equal space between each poster and the wall edges.
How many inches of space should you leave between the wall edge and each poster?
Answer:
32
Step-by-step explanation:
let the space be x
x + 27 + x + 27 + x = 150
3x + 54 = 150
3x = 96
x= 32
Is TA congruent to GO? Proof?
Answer:
Yeah
Step-by-step explanation:
Jerome wants to rent a car for 8 days, and he's interested in the collision damage waiver but not the loss damage waiver. If the daily rate is $60 and CDW is $66, what is his total rental cost?
A$588
B$480
C$546
D$1008
Answer:
c?
Step-by-step explanation:
Answer:
C.546
Step-by-step explanation:
60×8=480+ 66=546
PLEASE HELP
Find the unit rate.
12 slices from 2 cakes =
Answer:
1 cake 6 slice
Step-by-step explanation:
just divide
12/2=6
This question is designed to be answered without a calculator.
Use this graph of function f.
For how many values of x is f not differentiable over the interval (–4, 4)?
Answer:
4
Step-by-step explanation:
In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.
The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.
here,
The function from observation seems to be a discontinuous function,
And the function is not differentiable at x = -1, 0, 1, and 3.
So there are 4 points in the interval (-4, 4) where the function is not differentiable.
Thus, In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.
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What is the absolute value of -27 1/3
The absolute value of -27 1/3 is 27 1/3. The meaning of absolute value is the distance from the number and zero. -27 1/3 is 27 1/3 away from zero.
Answer: 27 1/3
Reason: The absolute value is the distance from that number to zero, and that's why it's that answer.
I hope this helps, and Happy Holidays! :)
What is the perimeter of the triangle?
unit
Answer:
Step-by-step explanation:
Hey, i can't view the boxes well.
Count the boxes the trangle intersects in the base and use it as your base.
find the same with height.
After that find their Hypotenuse using the Pythagoras theory.
Then find the perimeter of the triangle by adding the two hypotenuse and base.
Does this graph represent a function? Why or why not? 10 22 -10B2 10 8 A. No, because it fails the vertical line test. B. No, because it is not a straight line. C. Yes, because it passes the vertical line test. O D. Yes, because it has two straight lines.
Answer: I need to see the graph
Step-by-step explanation:
Tell whether z = 64 is a solution of z: 8=8.
Yes Or no
Answer:
Yes
Step-by-step explanation:
I think so...idk
8×8=64 thats why I said yes
the ratio of boys and girls in class is 3:2 Tthere are 15 boys how many total of boys and girls are in class
Answer: 15 boys and 10 girls
Step-by-step explanation:
15/3=5, so the you have to multiply 2 by 5 to get the number of girls. 2x5=10, so to get the total number of students you add 15+10 which gets you 25 students, but if it’s just asking for girls, then it’s 10.
Answer:
25
Step-by-step explanation:
3:2 = 15:10 ( 3x5 = 15 boys; 2x5 = 10 girls)
15+10=25 total boys and girls
What is the measure of angle c? Pls hurry
Answer:
I think the answer is 43
Step-by-step explanation:
Because b=83
The total value of triangle angles =180
So 54+83=137
180-137=43
I can write linear equations
1. Through: (-1,3), Slope=2
2.Through: (3,3), slope= -2
Which situation has a net result of zero?
The temperature was -9'F and fell 9°F.
Janet had $4 and gave $3 to her friend.
High tide was 5.5 ft and now low tide is -0.5 ft.
The hot-air balloon rose 539 feet. It then lost 539 feet of altitude.
Answer:
D. The hot-air balloon... results in a net of zero
Step-by-step explanation:
Thanks for the points my guy :)
have a great day
Answer:
canberry
Step-by-step explanation:
Valeri ran 2 miles in 20 minutes if she continue to run at the same rate how far will she have ran after 50 minutes
A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b) can also be carried by the hot air balloon? Select three options.
A -2
B 0
C 5
D 8
E 10
Answer:
8
Step-by-step explanation:
300 - 140 = 160 so 160 divided by 20 is 8
Answer:
8, 0, 10
Step-by-step explanation:
Find the distance between a and b
Answer:I believe it is 2.4
Step-by-step explanation:
You deposit $500 into an account that is compounded quarterly at a rate of 7.2%. In how many years will it take for your account to have over $1000?
Answer:
4560 is right answer
Step-by-step explanation:
4560 is right answer
On Tuesday Alberto bought 6 hats. On Wednesdqy half of all the hats that he had were destroyed. On Thursday there were only 13 left . How many did he have on Monday? please show steps??
Answer:
He had 20 hats on monday
Step-by-step explanation:
13*2= 26
26-6= 20