Answer: 150
Step-by-step explanation:
A fixed cost is referred to as a cost that does not change with the output level that is, it doesn't change when there is a rose or reduction in the amount of goods or services that are produced.
Since the total cost function is given as
TC=3Q³ - 5Q² + 4Q + 150, we can infer that from the equation the fixed cost is 150 while the variable cost is 3Q³ - 5Q² + 4Q
help me please!! i’m confused!!
When creating equations for our word problems, we must remember to...
A. write all equations in slope-intercept form.
B. make sure all equations are in the same form.
C. define all variables.
9514 1404 393
Answer:
C. define all variables
Step-by-step explanation:
Equations for word problems will depend on the problem. Not all of the equations will be linear equations. Even if they are, they are not necessarily easily written in any particular form, or easily solved when they are written in that form. The nature of the equations will depend on the problem.
One thing that must be done in any case is define all variables. It is usually a good idea to define the units of the variable(s) as well. Sometimes problems are posed with numbers in incompatible dimensions, or they may ask for an answer in dimensions different from those used in the given information. In order to avoid confusion and to be sure you have the desired answer, you need to make sure the variables and their dimensions are compatible with the solution process.
can someone help me out with these equations?
1. (5+ √3)^2
2. (√6-5√3)^2
3. (6+3√2)^2
9514 1404 393
Answer:
28 +10√381 -30√254 +36√2Step-by-step explanation:
It is useful to remember the form for the square of a binomial.
(a +b)² = a² +2ab +b²
(a -b)² = a² -2ab +b²
__
1. (5 +√3)² = 5² +2·5·√3 +(√3)² = 25 +10√3 +3
= 28 +10√3
__
2. (√6 -5√3)² = (√6)² -2·√6·5√3 +(5√3)² = 6 -30√2 +75
= 81 -30√2
__
3. (6 +3√2)² = 6² +2·6·3√2 +(3√2)² = 36 +36√2 +18
= 54 +36√2
pls answer it i really need the answers : (
Answer:
Subscribe Single-3 FF on yt
5th grade math. correct answer will be marked brainliest
Answer: First 12/8, then 3/2
Step-by-step explanation: 3/2.
If you want the mixed fraction, it would be 1 1/2.
4 times 3 is 12... 12/8
1 whole box (8/8)
So 12/8-8/8=4/8 left
1 whole and 1/2
2. Solve the following problems involving simple interest. Recall
Simple Interest-INT=PV*r*t
An investor decides to offer a business owner a $45,000 loan at simple interest of 3.5%
per year. Find the total amount in dollars, the investor will receive when the loan is
repaid after 7 years.
Answer:
A = $56025
Step-by-step explanation:
Given that,
An investor decides to offer a business owner a $45,000 loan at simple interest of 3.5% per year.
Principal, P = 45,000
Rate of interest, R = 3.5%
We need to find the total amount the investor will receive when the loan is repaid after 7 years.
The formula for the simple is given by :
[tex]I=\dfrac{PRT}{100}\\\\=\dfrac{45000\times 3.5\times 7}{100}\\\\=\$ 11025[/tex]
We know that,
Amount = Principal + simple interest
So,
A = 45,000 + 11025
A = $56025
So, the required amount is equal to $56025.
The graph of a line has a slope of 2 and passes through the point (–6, –5). What is the equation of the line in point-slope form?
y – 5 = 2(x – 6)
y + 5 = 2(x + 6)
y – 6 = 2(x – 5)
y + 6 = 2(x + 5)
Answer:
it would be
B. y + 5 = 2(x + 6)
if there is a negative number and you are subtracting it turns positive
Step-by-step explanation:
pls help i give you brainliest
Using the photo above, describe what type of symmetry it has.
a. if it has reflection symmetry, draw all lines of symmetry.
b. if it has rotational symmetry, what is all the angle of rotational symmetry (the smallest)
c. if has translational symmetry, what is shape is getting repeated
9514 1404 393
Answer:
b) rotational symmetry: multiples of 120°
Step-by-step explanation:
The figure does not have a line of symmetry, or a point of symmetry. However, rotating it 1/3 turn (120°) will make it look like itself. Hence, it has rotational symmetry of degree 3. A rotation of any multiple of 120° will map the figure to itself.
What is the value of the expression: x2 + y2 + x - y
when x = -1 and y = 3
Question 1 options:
6
8
12
16
Answer: 6
Step-by-step explanation:
x^2+y^2+x-y
Put x=-1 and y=1
(-1)^2+(3)^2+(-1)-(3)
1+9-1-3
10-4
6
From a random sample of 16 people in a jail, the number of days remaining in each their sentences was noted. The 16 people have a mean remaining sentence of 645 days with a standard deviation of 31 days. Assume the population of remaining sentences is normally distributed. Construct a 95% confidence interval for the mean remaining sentence of all people in the jail. Round final answer to one decimal place.
Answer:
The 95% confidence interval for the mean remaining sentence of all people in the jail is between 628.5 days and 661.5 days.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 16 - 1 = 15
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.1315
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.1315\frac{31}{\sqrt{16}} = 16.5[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 645 - 16.5 = 628.5 days
The upper end of the interval is the sample mean added to M. So it is 645 + 16.5 = 661.5 days
The 95% confidence interval for the mean remaining sentence of all people in the jail is between 628.5 days and 661.5 days.
The formula for finding the area of a square that has a side length, s, is A = s2. If a square has an area of 40 square units,
what is the length of a side?
A. 2./10
B. 10.12
C. 20
Answer:
2./10
Step-by-step explanation:
It's simply by finding the square root of its area which is √40 giving 6.325 for an answer
If simplified by dividing each side with 3 then the answer would be 2./10
solve the equation. -4/9 f= -3
Answer:
27/4
Step-by-step explanation:
Multiply both sides by 9/(-4).
9/−4 * −4/9 f = 9/−4 * −3
f = 27/4
f(x) = x - 4 + 1
Describe the transformation
Answer:
here i gotchu mate:)
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Shifted down
3
units
My sister got stuck on these can you tell me the answers?
HELP NEED ANSWER ASAP!
Answer:
I am pretty sure the anwser is 7
Answer:
The median is 7.
Step-by-step explanation:
The median is 7 because, in a box plot, the line inside of the box is the median. That line is over 7 on the number line.
Find the area of the regular octagon with radius of 14
feet.
Answer:
uhm- ok ok ok level hard o my gosh
(-10) + 3 = 10 - 3 is true or false???
(-10) + 3 = -(10 - 3) = -7
10 - 3 = 7
-7 ≠ 7
FALSE
In August an online store sold 213 graphing calculators during their back to school sale. Since then, sales have increased at a rate of 5% each month. Which function can be used to determine the monthly calculator sales sine August?
Answer:
[tex]y = 213 + 0.05x[/tex]
Step-by-step explanation:
Given
[tex]Initial = 213[/tex]
[tex]Rate = 5\%[/tex]
The equation to o this is:
[tex]y = intial +rate * weeks[/tex]
[tex]y = 213 + 0.05x[/tex]
Find the perimeter of the figure to the nearest hundredth.
Answer:
perimeter of trapezium =sum of all sides
perimeter of trapezium =10cm+6cm+12cm+8cm
perimeter of trapezium =36cm
perimeter of semicircle =pi×r
perimeter of semicircle =3.14×6cm
perimeter of semicircle =18.84cm
perimeter of the figure =36cm+18.84cm=54.84cm
r − 38 = 9
please solve the equation
Answer:
r = 47
Step-by-step explanation:
r - 38 = 9
r- 38 + 38 = 9 + 38
simplify
r = 47
Answer:
[tex]r=47[/tex]
Step-by-step explanation:
[tex]r-38=9[/tex]
Add 38 to both sides of the equation:
[tex]r-38+38=9+38\\r=47[/tex]
r = 47 is your final answer.
What's the exact value of tan 15°?
O A) 2 + √3
B) 1
OC2
C) 2 - V3
OD) 1 + v3
Please Help!!!!
Answer:
C
Step-by-step explanation:
Split
15
into two angles where the values of the six trigonometric functions are known.
The result can be shown in multiple forms.
Exact Form:
2−√3
The exact value of tan 15° is,
⇒ tan 15° = - (2 - √3)
What is mean by Function?
A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
To find the exact value of tan 15°.
Now, We can formulate;
tan 15° = tan (45 - 30)°
= tan 45° - tan30° / (1 + tan45° tan30°)
= (1 - √3) / (1 + √3)
= (1 - √3) (1 - √3) / (1 + √3) (1 - √3)
= (1 + 3 - 2√3) / (1² - √3²)
= (4 - 2√3) / (1 - 3)
= 2 (2 - √3) / - 2
= - (2 - √3)
Thus, The exact value of tan 15° is,
⇒ tan 15° = - (2 - √3)
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
Pls help! This test determines if I take math 1 or 2 for 8th grade!!
Answer:
My best guess is D she can make 4 dozen cokies
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
it is B because for number A 1+1 =2 2>1.75. B= 1.5<175, c= 0.5 <1, d. 2>1.75
what is the area of the trapozoid?
Answer:
8units²
Step-by-step explanation:
area of trapezoid=½(a+b)*h
a=2
b=6
h=2
area of trapezoid=½(2+6)*2
area of trapezoid=½(8)*2
area of trapezoid=4*2
=8units²
9. Complete the following equation using <,>, or =
100% _1
O A. >
O B. <
O C. =
Answer:
C. =
Step-by-step explanation:
Two ways to think about this problem:
1st way: 100% and 1 are all a whole, therefore, they are equal.
2nd way: 1=1/1. Multiply the denominator and the numerator by 100, 1/1=100/100=100%
increase 70 in ratio 3:2
what is the total price including 7% tax of a $14.49 item
Answer:
$15.50
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Carla wants to buy a new bike before summer starts in one week. She saves $1 on the first day of the week, $2 on the second day, $4 on the
third day, $8 on the fourth day, and continues this pattern the rest of the week.
If the bike costs $150, Carla will (have or not have)
enough money to buy the bike before the start of summer.
Carla will have ($15, $25 $23,$27,$5,$0)
Answer:
she will not have enough money
she will have 23 more to save
Step-by-step explanation:
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Answer:
If the bike costs $150, Carla will
not have
enough money to buy the bike before the start of summer.
Carla will have
$23
more to save
.
Step-by-step explanation:
Obtain the truth value of
(i)
If 5 + 6 = 11, then 11 – 6 = 5.
(ii)
If 5 + 8 = 12, then 12 + 8 = 20.
(iii)
If 6 + 9 = 14, then 14 – 7 = 8
(iv)
If 7 + 8 = 15, then 8 – 7 = 2
Solve for the area of the smaller
shape.
Round to the nearest TENTH.