Answer:
−0.000224
Step-by-step explanation:
A company that manufactures widgets has fixed costs of $8,906.00 each month and a cost of $2.64 for each widget it produces. Which of the following equations could be used to determine the total production costs for the company if it produced x widgets last month?
(Let x represent the number of widgets the factory produced last month and y represent the total production costs for the factory.)
A.
y = $890.60 + $2.64x
B.
y = $8,906.00 + $2.64x
C.
y = $8,906.00x - $2.64x
D.
y = $2.64 + $8,906.00x
Answer:
The equation could be used to determine the total production costs for the company if it produced x widgets last month is
y = $8,906.00 + $2.64x ⇒ B
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope ⇒ rate of changeb is the y-intercept ⇒ initial amount∵ A company has fixed costs of $8,906.00 each month
→ That means it is a fixed value every month
∴ b = 8,906.00
∵ The cost of each widget it produces is $2.64 for
→ That means the value is changing according to the number of widgets
∴ m = 2.64
∵ y represents the total costs of production last month
∵ x represents the number of widgets the factory produced last month
→ Substitute the values of m and b in the form of the equation above
∴ y = 2.64x + 8,906.00
The equation could be used to determine the total production costs for the company if it produced x widgets last month is
y = $8,906.00 + $2.64x
Which choices are correctly written in scientific notation? Select the four correct answers.
17.1 times 10 Superscript 3
8.05 times 10 Superscript 3
6.25 times 4 Superscript 3
4 times 10 Superscript negative 16
22.09 times 10 Superscript negative 9
3.03 times 10 Superscript negative 1
5 times 10 Superscript 10
3.44 times 1 Superscript 10
Answer: Which choices are correctly written in scientific notation? Select the four correct answers. Best Option B, D, F, G,
(B) 8.05 *10^3 <====
(D) 4*10^-16 <=====
(F) 3.03*10-1 <======
(G) 5*10^10 <====== Hope this helps, just took quiz
Step-by-step explanation:
The choices that are correctly written in scientific notation should be option, B, option D, option F, option G.
What is scientific notation?
Scientific notation refers the way where the number should be expressed and can be too large or too small also it should be written in the decimal form.
So here the choices should be
[tex]8.05 *10^3\\\\4*10^-16\\\\3.03*10-1 \\\\ 5*10^{10 \\\\[/tex]
Learn more about scientific here; https://brainly.com/question/2872420
Pls help, I’m stuck on this
Answer:
3
Step-by-step explanation:
the gradient is just the slope
the equation is y = 3x - 5
with -5 being the y intercept
the distance between the two points is sqrt(40)
to find the gradient you have to use the slope formula: (-11-(-5))/(-2-0) = -6/-2=6/2=3
Which answer choice shows the decimals in order from least to greatest? A. 169.8778, 169.88, 169.9, 196.842, 168.78 B. 168.788, 169.877, 169.88, 169.9, 196.842 C. 169.9, 169.88, 168.788, 169.877, 196.841 D. 169.88, 169.9, 169.8778, 168.78, 196.842
Answer:
B
Step-by-step explanation:
Here, we want to select the option the arranged the decimals from the smallest to the highest.
That will be; option B
168.788, 169.877,169.88,169.9,196.842
help pls
I need the answer asap
If α and β are zeroes of 2x² - 5x+7, find
polynomial whose zeroes are 2α + 3β , 2β + 3α .
α & β are the zeroes of 2x² - 5x + 7.
Find:polynomial whose zeroes are 2α + 3β , 2β + 3α .
Solution:On comparing with the standard form of a quadratic equation,
Let,
a = 2
b = - 5
c = 7.
We know that,
Sum of the zeroes = - b/a
⟹ α + β = - ( - 5)/2
⟹ α + β = 5/2 -- equation (1)
Product of the zeroes = c/a
⟹ αβ = 7/2 -- equation (2)
Now,
General form of a Quadratic equation is x² - (sum of the zeroes)x + product of the zeroes = 0.
★ Sum of the zeroes = 2α + 3β + 2β + 3α
⟹ Sum of the zeroes = 5α + 5β
⟹ Sum of the zeroes = 5(α + β)
Putting the value from equation (1).
⟹ Sum of the zeroes = 5(5/2)
⟹ Sum of the zeroes = 25/2
Similarly,
★ Product of the zeroes = (2α + 3β)*(2β + 3α)
⟹ Product of the zeroes = 2α( 2β + 3α) + 3β( 2β + 3α )
⟹ Product of the zeroes = 4αβ + 6α² + 6β² + 9αβ
⟹ Product of the zeroes = 13αβ + 6(α² + β²)
a² + b² = (a + b)² - 2ab → α² + β² = (α + β)² - 2αβ
⟹ Product of the zeroes = 13αβ + 6[ (α + β)² - 2αβ ]
Putting the values from equations (1) & (2) we get,
⟹ Product of the zeroes = 13(7/2) + 6 [ (5/2)² - 2(7/2) ]
⟹ Product of the zeroes = 91/2 + 6 ( 25/4 - 14/2 )
Taking LCM we get,
⟹ Product of the zeroes = ( 2 * 91 + 6 * 25 + 2 * 14 ) /2
⟹ Product of the zeroes = (182 + 150 + 28 )/2
⟹ Product of the zeroes = 180
Hence,
New quadratic equation = x² - (25/2) * x + 180 = 0
⟹ New quadratic equation = (2x² - 25x + 360)/2 = 0
⟹ New quadratic equation = 2x² - 25x + 360 = 0
∴ The required quadratic equation is 2x² - 25x + 360 = 0.
I hope it will help you.
Regards.
A hiker starts walking toward a waterfall that is 12 miles away. The hiker walks 3 miles each hour for 3 hours.
What graph represents the distance the hiker is from the waterfall over that time period?
Use the graphing tool to graph your answer.
The graph of the linear function d = 12 - 3t, representing the distance the hiker is from the waterfall over that time period, is given at the end of the answer.
What is a linear function?The slope-intercept representation of a linear function is given by the equation presented below:
y = mx + b
The coefficients of the function and their meaning are listed as follows:
m is the slope of the function, representing the change in the output variable y when the input variable represented by x increases by one.b is the y-intercept of the function, representing basically the initial value of the function.In this problem, the values of the parameters are given as follows:
m = -3, as each hour, the distance of the hiker from the waterfall decreases by 3, as he walks 3 miles each hour.b = 12, as the initial distance of the hiker from the waterfall is of 12 miles.Then the equation is:
y = 12 - 3x.
Which is graphed over the domain [0,3], as shown by the image at the end of the answer.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
what is another way to express the difference between -5 and 8?
Answer:
on the number line it would be 14 units
Step-by-step explanation:
jump the number line from -5 to 8
What is the value of the expression
you are filling a bookcase with books the bookcase is 3 ft wide your hardcover books are 1 1/2 inches wide and your paperback books are 3/4 inches wide if you already placed 8 hardcover books on the shelf what is the maximum of paperback books you can also fit on the shelf?
is y=x2+10 a function?
What is pi? I forgot.
Answer:
3.141592653589793238462643383279...
Answer:
3.14159265359 or for short, 3.14
Step-by-step explanation:
It is a number that never repeats the same sequence and consists of over one million numbers and still continuing. Scientists and mathmaticians work to find the end of this seemingly endless number.
It can be used to find information of a circle when placed in a mathmaticle formula.
This number also appears in other forms of mathmatics as well as physics.
These are my own words.
I hope this helps and have a great day!
Choose the correct graph to match the given expression by clicking.
x -2 -1 0 1 2 4
F(x) 0.37 0.61 1 1.64 2.72 7.39
-3,12,-48 next three terms
Answer:
The next three terms are -192, -768, and -3072
Step-by-step explanation:
The sequence pattern is 4 x n. N = the last number.
Three friends went cherry picking and each picked the same amount of cherries, in pounds. Before they left the cherry farm, someone gave them an additional 6 pounds of cherries. Altogether, they had 39 pounds of cherries.
Which diagram below represents this situation?
Answer:
Hey
Step-by-step explanation:
hi
Because of a shortage of workers, a radiologic technologist is working
overtime. She gets overtime pay for any hours over 8 hours per day. How
many hours of overtime did she work in 1 week?
Answer:
8
Step-by-step explanation:
1. What is the value of 4/2 + 2x^2 when x= 2? Show you work
2. Solve the equation. Show your work
I need help please! Answer both and I’ll give brainly (if I can)
Which could be the angle measures of an acute angle ? A. 32 -56 -92 B. 33 -58 -91 C. 34 -56 -90 D. 35 -56 -89
Answer:
it would be d
Step-by-step explanation:
because Sean acute angle is less than 90 degrees so 32 56 and 89 are all less than 90 if I'm wrong I'm sorry but I'm also not the smartest
PLEASE HELP ME!!!! -5(p+3/5)=-4 what does the p=?
Answer:
5
Step-by-step explanation:
-5(p+-3/5)=-4
-5p+3=-4
-5p-3=-3
-5p=-1
-5p/-5
-1/-5
when you divide negative it flips so therefore your answer is 5
Savannah gets paid $10 every 3 bracelets she sells. Which graph below shows the
relationship with the same unit rate?
Answer:
the bottom one
Step-by-step explanation:
pls mark brainliest
Answer:
The second graph.
If the slope of a line is m = -7, find the slope of the lines that are parallel and perpendicular to the line.
Answer:
For the line parallel to the line it has a gradient of -7 and the one perpendicular to the line has a gradient of 1/7.
Answer:
Parallel: m = -7
Perpendicular: 1/7
Step-by-step explanation:
The question is asking us to find the slope of the lines that are parallel and perpendicular to the one whose slope is -7.
Main Idea: Parallel lines have equal slopes; perpendicular lines have slopes that are opposite reciprocals.
The slope of the line that's parallel to the one whose slope is -7 is also -7.
The one that's perpendicular to it is the opposite reciprocal of -7, which is 1/7.
Therefore, this is the answer.
is 98,586,315 divisible by 9
Answer:
yes
Step-by-step explanation:
Josh drives 150 miles in 3 hours. What is the constant
proportionality, k?*. A k= 2 miles per hour
B k= 0.02 miles per hour
C k=75 miles per hour
D k=50 miles per hour
Answer:
150/3=50
Step-by-step explanation:
CAN SOMEONE HELP ITS DUE TODAY!!! will give brainliest!!
Telemedicine is a way for patients and doctors to connect through a version of video chat or possibly just a voice call. The benefit of this is that we are not exposing ourselves or others to the virus. This will help slow or stop the spread of the virus.
Hope this helps, please mark as brainliest :)
A car rents for $180 per week plus $0.25 per mile. Find the cost of renting this car for a two week trip of 400 miles for a family of 4.
Answer: $460
Step-by-step explanation:
It cost $180/per week. The family will have the car for 2 weeks, so:
($180)(2)= 360
Additionally, it is $0.25 per mile. The family traveled 400 miles, so:
($0.25)(400)= 100
In total:
$360 + $100 = $460
Find m∠C.
it is an obtuse triangle
Riley used $9 to pay for a toy that costs $8.63 how much change should Rita get back
Answer:
0.37
Step-by-step explanation:
9.00-8.63=0.37
Answer:
0.37
Step-by-step explanation:
does anyone know what 1/4, 32%, and 0.4 from least to greatest is
Answer:
1/4, 32%,.4
Step-by-step explanation:
Put each of them in decimal form and 1/4=.25, 32%=.32 and .4=.4, then put them in order in decimal form and there you go
which equation represents a linear function that has a slope of 4/5 and a y intercept of -6?
y=6x+4/5
y=4/5x-6
y=4/5+6
y=6x+4/5
x+6=x
please help me , i need this now for a last question homework assighnmet. please show me the steps.