use the function f(x) = 3x+8. evaluate the function for f(1). 8, 11, 3
Answer: 11
Step-by-step explanation:
F(1) = 3(1) + 8
F(1) = 3 + 8
F(1) = 11
You just substitute the x in for 1 and solve from there.
Bigco Corporation is one of the nation’s leading distributors of food and related products to restaurants, universities, hotels, and other customers. A simplified version of its recent income statement contained the following items (in millions).
Cost of sales $ 11,571
Income taxes 249
Interest expense 23
Net earnings 1,442
Sales 16,400
Earnings before income taxes 1,691
Selling, general, and administration expense 3,543
Other revenues 428
Total expenses (excluding income taxes) 15,137
Total revenues 16,828
Prepare an income statement for the year ended June 30, current year. (Hint: First order the items as they would appear on the income statement and then confirm the values of the subtotals and totals.)
Step-by-step explanation:
I hope this answer is helpful ):
Stacy performed an experiment in which she rolled a six-sided die multiple times. The results are shown below
Based on the results above, predict the number of times a 3 would be rolled if Stacy performs the experiment a total of 480 times.
Answer:
5/9
Step-by-step explanation:
Let the probability of getting a multiple of 3 is "A"
Let the probability of getting an even number is "B"
Total number of outcomes=36
Total number of favourable outcomes of either a multiple of 3 or an even number are
(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)
That is we have 20 favourable outcomes
Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=
total number of outcomes
favourable outcomes
Therefore, after substituting the values we get
probability=\frac{20}{36}probability=
36
20
After simplification we will get
probability=\frac{5}{9}probability=
9
5
You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?
Answer:
Step-by-step explanation:
total interest paid is given as $4,643.46.
total payments = $429.95 x 36 months = $15,478.20
total lease payments = total payments - total interest
total lease payments = $15,478.20 - $4,643.46 = $10,834.74
Remaining balance = Total cost of the lease - Total lease payments
$23,495 - $10,834.74 = $12,660.26
Graph the inequality. y is less than negative one fourth times x minus 3 The graph shows a solid line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading above the line. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative, 3 with shading above the line. The graph shows a solid line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.
A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.
How to determine the required ordered pair?In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;
y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.
Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).
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Answer:
it’s D dotted line with shading below
Step-by-step explanation:
i got it on my quiz
Write a sentence of the form “–––––––––––––– is a function of –––––––.”
Type your response in the space below.
"Distance traveled is a function of time." In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.
Distance is a fundamental concept in physics and mathematics that measures the extent or length between two points.
It represents the amount of ground covered or space traveled. When we say that distance is a function of various factors, it means that different variables or parameters can influence the distance traveled.
In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.
The sentence "Distance traveled is a function of time" expresses this relationship, indicating that the distance traveled can be determined or calculated based on the value of time.
Thus, it implies that as time changes, the corresponding distance traveled also changes, establishing a functional relationship between the two variables.
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If the present value of an item is P and we experience an inflation rate of r, which is compounded continuously, for t years, what will the future value of the item be?
P = $60
r = 4.75%
t = 5
Answer:
I think it is p= $60
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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7/9+6/8+6/3=
I really need the answer
Answer:
\(\frac{1}{30}\)
Step-by-step explanation:
Take it in steps. First, find 7/9+6. Then we'll find 8+6/3, and, finally, we'll divide the two answers.
1:
7/9+6 = 7/15
2:
8+6/3 = 14/3
3:
\(\frac{\frac{7}{15}}{\frac{14}{3}}\) or \(\frac{7/15}{14/3}\)
Then take that in chunks: 7/14 and 15/3.
7/14 = 1/2
15/3 = 5/1
Use those to rewrite it as \(\frac{1/5}{2/3}\).
1/5 = .2
2/3 ≈ .6667 so we'll keep writing it as 2/3
\(\frac{\frac{.2}{2}}{3}\)
.2/2 = .1, so:
\(\frac{.1}{3}\) = \(\frac{1}{30}\)
During two years in college, a student earned $21,600. The second year she earned $400 more thanthree times the amount she earned the first year. How much did she earn the first year?Write two linear equations to represent a system to solve this, where a represents the student'searnings the first year and y represents the student's earnings the second year. Write the equations,but do not solve them.1)2)
In the first part of the problem, you are given that the sum of the earnings is equal to $21,600, therefore, you can set the equation:
\(a+y=21600.\)Where a represents the student's earnings of the first year and y represents the earnings of the second year.
In the second part of the problem, you are given that y is 3 times a plus $400, therefore, you can set the following equation:
\(y=3a+400.\)Answer: \(\begin{gathered} a+y=21600, \\ y=3a+400. \end{gathered}\)How many
1/4-foot cubes would fill the inside of the prism?
Write the answer in the box.
There are 4 cubes of size 1/4 foot would fill the inside of the prism.
We have to given that;
Height of cuboid = 3 feet
Length of cuboid = 3/4 feet
Width of cuboid = 1/2 feet
We know that;
Volume of cuboid = Length x width x height
Hence,
V = 3/4 x 3 x 1/2
V = 9/8
Thus, Number of 1/4-foot cubes which would fill the inside of the prism is,
= (9/8) ÷ (1/4)
= (9/8) x 4
= 9/2
= 4.5
Thus, There are 4 cubes of size 1/4 foot would fill the inside of the prism.
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3x-2w cuando x = -1 y w = -3
Answer:
3
Step-by-step explanation:
3(-1)-2(-3)
I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
(06.01 MC)
Determine if triangle RST with coordinates R(2, 3), S(4, 4), and T(5, 0) is a right
triangle. Use evidence to support your claim.
Please help me it has to be in Writing format
RST is not a right triangle.
What is a Triangle ?A Triangle is a polygon with three sides , three angles and three vertices.
It is given in the question that
triangle RST with coordinates R(2, 3), S(4, 4), and T(5, 0)
It has to be determined that if the triangle is a right angled triangle ,
If we plot the triangle on the coordinate plane , it can be easily seen that the triangle is not a right angled triangle ,
It can also be proved by measuring the length of the sides that if the sum of the squares of the sides is equal to the square of the largest side , then it will be a right triangle or not .
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7x - 2x + 4 = 8 - 3x what's the value of x
The initial equation is:
\(7x-2x+4=8-3x\)so we can move all term with x to the left and the constants to the right so:
\(\begin{gathered} 7x-2x+3x=8-4 \\ 8x=4 \end{gathered}\)Now we divide by 8 bout side of the equation so:
\(\begin{gathered} x=\frac{4}{8} \\ x=\frac{1}{2} \end{gathered}\)A city has a population of 370,000 people. Suppose that each year the population grows by 6.25%. What will the population be after 8 years?
Use the calculator provided and round your answer to the nearest whole number.
people
Answer:
600943 people-----------------------------
Current population is 370000 people.
Growth rate is 6.25%.
The population after 8 years will be:
370000*(1 + 6.25/100)⁸ = 370000*1.0625⁸ = 600943 (rounded)I PROMISE I'LL GIVE BRAINIEST
1+2x<9
Answer:
x<4
Step-by-step explanation:
1+2x<9
2x<8
x<4
4. Uncle Royce is 42. What is his target heart rate range?
O 120-180 beats per minute
O 150-200 beats per minute
O116-160 beats per minute
O170-236 beats per minute
Step-by-step explanation:
70 to 85 % of his maximum
Maximum is estimated to be 220 - age = 220 - 42 = 178
70% of this is 125
85 % is 89 151
I believe I would go with the third choice 116-160 bpm
What is another name for the starting value of a function? Select all that apply. I slope c-intercept O y-intercept Initial value rate of change
Answer:
The answer is "Initial value".
Step-by-step explanation:
The initial function value was its feature desired output unless the input signal is 0. It's an input valuing name, as well as the name for just a function's performance values set. In all input forces are defined as their function domain as well as the range of its program is called the output collection.
Answer:
initial value
Step-by-step explanation:
Please help, i really need this.
15 points
9514 1404 393
Answer:
548 W
Step-by-step explanation:
The work done to raise 4 kg to a height of 12 m against gravity is ...
W = Fd = Mgd = (4 kg)(9.8 m/s²)(12 m) = 470.4 J
The power output of the pump doing this work each second is ...
P = (470.4 J)/s = 470.4 watts
Since the pump is only 86% efficient, the power input is ...
Pout = eff × Pin
Pin = Pout/eff
Pin = (470.4 W)/(0.86) ≈ 548 W
_____
Additional comment
The rating of a motor often has little to do with its actual input power or its ability to do work. The rating is used for purposes such as circuit-breaker and wire sizing, or other aspects of sizing the physical plant surrounding the motor (including piping, in the case of a pump). While we can calculate a value for input power, we cannot make any claim regarding the power rating of the pump.
Find 62,208 divide 36
Answer:
1728
Step-by-step explanation:
What is the slope of the line shown below?
10
O A 6
(-6.3) 5+
(12, 6)
B.
1
5
10
C.
OPI-
D. -6
Answer:
1/6
the most likely answer
Step-by-step explanation:
Your car has a 15 gallon tank and can run on fuel with added
ethanol. The fuel contains either 13 percent ethanol or 69 percent
ethanol. How much of 69% percent ethanol fuel should you use so
that your tank is 40 percent ethanol?
Answer: 7.5
Step-by-step explanation:
the tank is 15 gallons and you can get 13 percent ethanol or 69 percent ethanol, so you simply just get 7.5gallons of 69 percent and then 7.5 gallons of 13 percent
.69 divided by 15 is .046
.13 divided by 15 is .008
The amount of 69% percent ethanol fuel should you use so that your tank is 40 percent ethanol is equivalent to 4.35 gallons.
What is mixture?A mixture is a material made up of two or more different chemical substances which are not chemically bonded. A mixture is the physical combination of two or more substances in which the identities are retained and are mixed in the form of solutions, suspensions and colloids.Given is that a car has a 15 gallon tank and can run on fuel with added
ethanol. The fuel contains either 13 percent ethanol or 69 percent
ethanol.
The amount of 69% percent ethanol fuel should you use so that your tank is 40 percent ethanol is given by -
{x} = 69% of 15 - {40% of 15}
{x} = (69/100 x 15) - (40/100 x 15)
{x} = 10.35 - 6
{x} = 4.35
Therefore, the amount of 69% percent ethanol fuel should you use so that your tank is 40 percent ethanol is equivalent to 4.35 gallons.
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two planes take off from the same airstrip. the first plane flies west for 150 miles and then flies 30 degrees south of west for 220 miles. the second plane flies east for 220 miles and then flies x degrees south of east for 150 miles. if x < 30, which plane is farther from the airstrip after the second leg? justify your answer.
The first plane is farther from the airstrip after the second leg
Which plane is farther from the airstrip after the second leg?The first plane
Initial distance = 150 miles west
Additional distance = 220 miles 30 degrees SW
This means that
Additional distance = 220 * cos(30) miles SW
Additional distance = 190.53 miles
Total distance = 150 + 190.53 = 340.53
The second plane
Initial distance = 220 miles east
Additional distance = 150 miles x degrees SE
This means that
Additional distance = 150 * cos(x) miles SW
Total distance = 220 + 150 cos(x)
Given that
x < 30
We have
Second plane < First plane
220 + 150 cos(x) < 340.53
Evaluate
cos(x) < 0.8035
Take the arc cos of both sides
x < 36
x < 36 is not the same as x < 30
Hence, the first plane is farther
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Use the distributive property to rewrite this expression in simplest form 6(n+5).
A
6n + 30
B
30n
C
36n
Answer:
6n+30
Step-by-step explanation:
Step 1:
Multiply 6 and n
6nStep 2:
Multiply 6 and 5
30Step 3:
Put together!
6n+30have a great day and thx for your inquiry :)
Answer:
the answer is A
Step-by-step explanation:
distributive property states
a(b+c)=ab+ac
therefore
6(n+5)=6n+30
The cost of one pound of candy is $1.80.What is the cost of 34 pound?
From the information given,
the cost of one pound of candy = $1.8
Thus, the cost of 34 pounds would be
1.8 x 34 = 61.2
The cost of 34 pounds is $61.2
13/15 divided by 6.2
what is the slope of the line through (5,4),(-2,-8)
Please do it step by step and asap
.
Five more than the product of a number and 8 equals 9.
Use the variable b for the unknown number.
The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."
To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:
8b + 5 = 9
To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:
Subtract 5 from both sides to get rid of the constant term:
8b + 5 - 5 = 9 - 5
8b = 4
Divide both sides of the equation by 8 to solve for b:
8b/8 = 4/8
b = 1/2
Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:
8(1/2) + 5 = 9
4 + 5 = 9
Both sides of the equation are equal, confirming that b = 1/2 is the solution.
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solve this equation and show work.
5(c-8)-3(2c+12)=-84