The cost function is a function that describes the total cost of producing x number of books. The fixed cost of 25000 is a constant cost that does not depend on the number of books produced, so it is not included in the cost function. The cost function is therefore:
Cost function: C(x) = 30x
The profit function is a function that describes the profit made from selling x number of books. The profit is equal to the revenue from selling the books minus the cost of producing the books. The revenue from selling x number of books at a price of 50 each is 50x, so the profit function is:
Profit function: P(x) = 50x - 30x = 20x
This profit function tells you that for every book you sell, you will make a profit of 20.
Evaluate the expression when c=4 and d=40
D-5c
Pls help me i need to fill in the boxes that dont have anything in them but i aldo need to fill in the one that says "A="
Answer:
Area is 35
Perimeter is 26
A = hb/2
Step-by-step explanation:
You're given the base (7) and the height (10). The area formula is [tex]\frac{h*b}{2}[/tex].
The area of a triangle is half of the base times the height. 7 * 10 = 70, so 70 is twice the area. Divide it by 2 to get the area (35).
The perimeter is all of the sides added together. 10 + 8 + 7 = 26
how to find the lcd and subtract the following fractions what is the answer of 5 over 6 minus 1 over 4 pls
Answer:
[tex]\displaystyle \frac{7}{12}[/tex]
Step-by-step explanation:
When we are subtracting fractions with different denominators, we find the least common denominator of each one. In the case of 6 and 4, they both share 12 as the least common denominator, so we can rewrite each fraction as equivalents with denominators of 12:
[tex]\displaystyle \frac{5}{6}-\frac{1}{4}=\frac{5*2}{6*2}-\frac{1*3}{4*3}=\frac{10}{12}-\frac{3}{12}=\frac{7}{12}[/tex]
Step-by-step explanation:
This calculator subtracts two fractions. First, convert all fractions to a common denominator when fractions have different denominators
what fraction is equvlent to 75/100
Answer:
3/4
Step-by-step explanation:
divide 75 by 100
find the measure of each side of an equilateral triangle whose area is √3 cm
STEP BY STEP
Answer:
s = 2 cm
Step-by-step explanation:
Given the following data;
Area of equilateral triangle = √3 cm
Mathematically, the area of an equilateral triangle is given by the formula;
A = √3 * s²/4
Where, s represents the sides of length.
Substituting into the formula, we have;
√3 = √3 * s²/4
Dividing both sides by √3, we have;
1 = s²/4
Cross-multiplying, we have;
4 = s²
Taking the square root of both sides, we have;
s = √4
s = 2 cm
Natasha is 5 years older than Maurice. If the sum of their ages is 19, how old is Natasha?
Answer:
Natasha is 12 years ils and Maurice is 7 years old
Step-by-step explanation:
lets say that Maurice is 7 years old.
âgé of Natacha: +5 years ils than maurice
7+5=12
There are 50 students going on the band field trip. They are planning on using two methods of traveling. They will use cars that can hold 5 students each and vans that can hold 7 students each. Let x represent the number of cars used and let y represent the number of vans used . Which of the following equations would be used to represent the situation?
A. x + y = 50
B. 5y = 7x + 50
C. 5x - 7y = 50
D. 5x + 7y = 50
Answer:
The answer is D
Step-by-step explanation:
Total # of student going field trip = 50 students
From the question, we know that they are planning to use two methods of traveling: car and van.
We also know that x represents the number of cars used and y represents the number of vans used.
We also know that cars can hold 5 students each and vans can hold 7 students each.
So the equation will be 5x+7y = 50. The answer is D.
If each of the numbers in the following data set were multiplied by 12, what
would be the median of the data set?
28, 58, 20, 14, 18, 71,36
O A. 240
O B. 336
O C. 696
O D. 432
Answer:
A. 336
Step-by-step explanation:
have a good day! :)
Answer: B. 336 is the answer
40= x²-y²
21= xy
find x and y
On solving the provided question, we can say that - the equation, 21 = xy; 40 = [tex]x^2-y^2[/tex] x= 2 and y = 2
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
21 = xy;
40 = [tex]x^2-y^2[/tex]
x= 2
and
y = 2
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Write an equation
Y=|x| 10 units down
To translate the point P(x,y) , a units left and b units down, use P'(x−a,y−b) .
Write an equation Y=|x| 10 units down?y=|x-10|-3
Inside, is opposite. So therefore, to move it right 10 units, you subtract ten. However, outside of the absolute value, it is normal, so to move it down 3 units, you subtract 3.The number –45.3 is 45.3 units away from zero and the number 10 is 10 units away from zero. Therefore, the absolute value of any number is really a positive number (or zero).As we know that absolute value means remove the negative sign from the number and make it positive. So we get the absolute value of -10 as 10. So we get the absolute value of 10 as 10. Hence absolute value of -10 and 10 is 10 and 10 respectivelyTo know more about units visit:
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The marketing manager for an automobile manufacturer is interested in determining the proportion of new compact-car owners who would have purchased a GPS navigation system if it had been available for an additional cost of $300. The manager believes from previous information that the proportion is 0.30. Suppose that a survey of 200 new compact-car owners is selected and 79 indicate that they would have purchased the GPS navigation system. If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30, which test would you use
Answer:
Two-tailed test.
Step-by-step explanation:
There are two types of tests:
One-tailed tests and two-tailed tests.
When we only test if the mean is less or more than a value, we have a one-tailed test.
When we test if the mean is different from a value, we have a two-tailed test.
If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30, which test would you use?
Test if it is different, so a two-tailed test.
help me with this please
The equation x 2 + y 2 − 4 x + 2 y = b x 2 +y 2 −4x+2y=b describes a circle. determine the y coordinate of the center of a circle
Answer
Here’s a graph. Hope this helps.
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
x²+y²-4x+2y=b
x²-4x+4+y²+2y+1=b+4+1
(x-2)²+(y+1)²=b+5
center is (2,-1)
7. In A.ABC. JB and KA are medians, JK = 10x - 12, AB = 9x + 18, JM = 21, KM = 23. AJ = 60. and
BK - 52
a. Find JK and AB. Round decimal answers to the nearest tenth.
b. Find the perimeter of AABC.
c. Find the perimeter of AABM.
Answer:
A) JK and AB =
[tex][tex] \boxed{( \theta) = \f{12}{( \theta)} }[/tex] So, =》 [tex] \dfrac{10}{5} = \dfrac{1}{ \( \theta) } [/tex] =》 [tex] \( \theta) = \dfrac{5}{2} [/tex][/tex]
B) AABC
[tex][tex] \boxed{( \theta) = {1}{( \theta)} }[/tex] So, [tex] 23}{-18=\\Ans } \boxed[/tex]
C) AABM:
[tex][tex] e \fbox{: }[/tex] The value of k for which [tex] \sin(jm) = \cos(x) [/tex] is [tex] \dfrac{\p}{2} [/tex] ans[/tex]
----------
I need help, I know it gave me the answer but I don’t understand how it got (-3) someone explain please
Answer: h=14
Step-by-step explanation:
If x=-18, then
h=17+(-18)/6
h=17+(-3)
h=17-3
h=14
Answer:
Step-by-step explanation:
so, the calculation was : h = 17 + [tex]\frac{-18}{6\\}[/tex]
To subtract "[tex]\frac{-18}{6}[/tex] " we need to make it the same denominator as "17"
(it's not written but technically 17 = [tex]\frac{17}{1}[/tex] )
Yet, we see that [tex]\frac{-18}{6} =\frac{-3* 6}{1*6}[/tex]
We just need to remove both the 6 that are not useful here and :
[tex]\frac{-3*6}{1*6} =\frac{-3}{1}= -3[/tex]
We obtain h = 17 - 3 = 14
hope it helped :)
Please help me faster if know what the answer please answer???!?!?!
Answer:
17
Step-by-step explanation:
First of all we find the total number of students:
4+6+2+2+3+4+6+3=30
Then we find the amount of seniors:
2+3=5
Now to find the probability we find the percentage of students which are seniors:
[tex]\frac{5}{30}[/tex] Which is also [tex]\frac{1}{6}[/tex] and when you put that into your calculator you get:
0.16666... which is a decimal, we need a percentage, so we multiply by 100 to convert it:
0.16666...×100=16.666...
which is equal to 17 once rounded as the third digit (6) rounds up
M6|L32 Zearnland Savings Joanie is working a lemonade stand to earn money. On the first day, she earned $0.25. Each day, she earns $0.25 more than she did the day before. How much money will Joanie earn in 7 days?
Answer: 3.50
Step-by-step explanation:
This maximization linear programming problem is not in "standard" form. It has mixed constraints, some involving ≤ inequalities and some involving ≥ inequalities. However with careful graphing, we can solve this using the techniques we have learned in this section. Maximize
a) z=5x+7y Subject to x+y≤30
b) 2x+y≤50
c) 2x≥y
d) x≥0,y≥0
Answer: See Annex
z (max) = 190
x = 10
y = 20
Step-by-step explanation:
z = 5*x + 7*y to maximize
Subject to:
x + y ≤ 30
2*x + y ≤50
2*x - y ≥ 0
x≥= y ≥0
PLEASE HELP!!!Design a chart, flow chart, mind map, or some other visual to help you organize the information that can easily be determined about the graph of a parabola when the function is written in vertex form, standard form, and factored form.
Answer:
Meh sure But I can't post a picture, so I'll just type it out.
Standard form: ax^2+bx+c
Quadratic Formula: -b + or - Square root of b^2-4ac/2a
Vertex form: a(x-h)+k
Mrs. Bike was looking for books at the library. She decided to check
out 2 books from each shelf in the children's section. Which expression
below can represent the total number of books Mrs. Bike checked out if
there are v number of shelves in the children's section?
1) x + 2
2) 2 - v
3) v x 2
4) 2 divided by v
Answer:
2 x v
Step-by-step explanation:
Two books per shelf would mean 2+ per shelf.
So if she took out 5 shelves it would be 2+2+2+2+2 in other words. 5*2.
So the equation would be 2 x v
HELPPP PLEASEEEEE, BRIANLEST WILL BE GIVEN ON CORRECT!
Answer:
1: 1 1/5!
2: 1 4/7!
3: 5 1/4!
4: 4 4/7!
5: 2 6/9!
6: 4 1/6!
A parallelogram has a base of 10.75 inches and a height of 6 inches. Which is the area of the
parallelogram?
A 33.5 square inches
B 54.5 square inches
C 64.5 square inches
D 32.25 square inches
Answer:
C= 64.5 square inches :)
Step-by-step explanation:
To find the area of a parallelogram you have to use this formula:
A= bh b=base h=height
So, with your given information, you can input the known variables
A= (10.75)(6)
A= 64.5 [tex]in.^2[/tex]
I hope this helps :)
Marcus makes the statement "15 more than twice a number is equal to 5” What number makes Marcus's statement true?
O-5
O 7.5
O -2.5
O 10
So we know that we need to add 15 to the double of this number. We know we need to add 15 since it says "15 more than" and we know we need to double/multiply the number by two since it says "twice a number"! We also know that this mystery number equals 5.
Therefore, we can set up our equation and solve! The variable x is used to represent the number we're looking for!
2x + 15 = 5
2x = -10
x = -5
So, your answer should be -5!
what is the volume of a prism if the width is 8 the height is 6 and the length is 4
Answer: 48
Step-by-step explanation:
V = b x h
V = 8 x 6
V = 48
Estimate 16.76 -9.611 by first rounding each number to the nearest tenth.
Answer:
7.2
Step-by-step explanation:
16.76 = 16.8
9.611 = 9.6
16.8 - 9.6 = 7.2
What are the two roots of the quadratic equation? y=x squared-3x-4
Answer:
{x | x ∈ R, 4,-1}
Step-by-step explanation:
[tex]y=x^2-3x-4[/tex]
[tex]y=x^2+x-4x-4[/tex]
[tex]y=(x^2+x)+(-4x-4)[/tex]
[tex]y=x(x+1)+(-4)(x+1)[/tex] Distributive property
[tex]y=(x+(-4))(x+1)[/tex] Distributive Property
[tex]y=(x-4)(x+1)[/tex]
set y to 0
[tex]0=(x-4)(x+1)[/tex]
set the factors to 0
[tex]0=x-4; 0=x+1[/tex]
[tex]4=x; -1=x[/tex]
what is 24.40% 37.60% 7/25 and 3/10 ordered from least to greatest
Answer:
7/25,3/10, 24.40%,37.60%
if (x+A)^2 -3 = x^2 + 4x + B. Find the value of A and B
The values of A and B are 2 and 4 respectively.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the equation as -
(x + A)² - 3 = x² + 4x + B
We can write the given equation as -
(x + A)² - 3 = x² + 4x + B
x² + A² + 2Ax = x² + 4x + B
A² + 2Ax = 4x + B
A² + 2Ax = B + 4x
Equating both sides, we get -
A² = B
and
2A = 4
A = 2
Then B will be equivalent to 4.
B = 4
Therefore, the values of A and B are 2 and 4 respectively.
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49
58
57
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted
A weight of a bear with a chest size of 48 inches. Is the result close to the actual weight of 298 pounds? Use a significance level of 0.05.
Chest size (inches) 58
43 46
Weight (pounds) 355 266 332 177 246 348
What is the regression equation?
G
ĝ=0.x (Round to one decimal place as needed.)
C
pls help due tomorrow
On solving the provided question, we can say that - by doing the equation, we have -12 +18 = p + 7 => 6 = p + 7 => p = -1
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
-12 +18 = p + 7
6 = p + 7
p = -1
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