Answer:
24radios
Step-by-step explanation:
Given that the dollar cost of producing x ratios is c(x)=800+40x-0.2x^2. Find
Average cost is expressed as dC(x)/dx
dC(x)/dx = 40-0.4x
C'(x) = 40 - 0.4x
If x = 40
C'(40) = 40 - 0.4(40)
C'(40) = 40 - 16
C'(40) = 24
Hence the average cost per radio of producing the first 40 radios is 24radios
please i need help wha is 5/3 + 2/4
Answer:
26/12
simplify—>13/6
Step-by-step explanation:
Find the LCD (lowest common denominator)
The LCD of these two fractions is 12. Convert them to their denominators.
5/3 *4/4 = 20/12
2/4 *3/3= 6/12
Then add! 6/12 + 20/12 = 26/12
Simplify —> 13/6
Help Pls. Find the radius of Circle Q.
The radius of the given circle is 13 unit.
What is a chord of a circle?
The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.
What is radius of a circle?A radius is a measure of distance from the center of any circular object to its outermost edge or boundary.
What is Pythagoras theorem?Pythagoras theorem states that "the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides".
According to the given question
We have a circle with center Q and two chords AD and BC.
And, AD = 4x + 4 and BC = 6x -6
Since, both the chords are at the same distance from the center of the circle, so their lengths will same.
⇒ AD = BC
⇒ 4x + 4 = 6x -6
⇒ 4 + 6 = 6x -4x
⇒ 10 = 2x
⇒ x = 5
Therefore,
AD = 4x + 4 = 4(5) + 4 = 20 +4 =24
and, BC = 6x - 6 = 6(5) - 6 = 30 -6 = 24
Also, AP = AD/2 = 24/2 = 12
Now, in right angle triangle QPA we have
[tex]AQ^{2} =QP^{2} +AP^{2}[/tex] ( By Pythagoras theorem)
⇒ [tex]AQ^{2} = 5^{2} +12^{2}[/tex]
⇒[tex]AQ^{2} = 25 + 144[/tex]
⇒[tex]AQ^{2} = 169[/tex]
⇒[tex]AQ =\sqrt{169}[/tex]
⇒ AQ = 13
Hence, the radius of the given circle is 13 unit.
Learn more about radius and chord of the circle here:
https://brainly.com/question/1654080
#SPJ2
The angle of elevation of a car to the top of a tree is 60°. If the height of the tree is 34 feet, find the distance between the car and the tree rounded to the nearest whole number.
Answer:
17 feet
Step-by-step explanation:
cos = adj/hyp
cos60 = adj/34
34 * cos60 = adj
adj = 17
Balr's new computer costs less than twice the cost of her old computer. Her new computer cost $709. How much did Blair's old computer cost?
Answer:
$357
Step-by-step explanation:
Your local dry cleaners is running a special. The dry cleaner is offering a 13% discount for any drop off that is over
$40. Also, they are running a neighborhood special of an additional 5% off. Given this information, determine the
decay factor corresponding to each percent decrease.
a. 34.8; 33.06
0.87: 0.95
b. 0.384; 0.3306
d. 87, 95
C.
Answer:
a
Step-by-step explan
Answer:
it's C I took the test and put a and got it wrong
Step-by-step explanation:
help me I have hard times in algebra
Which table represents a quadratic function?
f(x)
x
x
fx)
f(x)
x
f(x)
-4
-5
-4
-4
2
-10
-4
0.5
47
-2
-2
-2
1-6
-2
1
ok
10
0
1
0
2
0
2
2
-7
N
4
2
6
co
N
4
4
2
4
7
4
10
4
8
0
9514 1404 393
Answer:
see below
Step-by-step explanation:
The x-values in each table are evenly-spaced (increasing by 2). So, the quadratic function can be identified by its second differences: they will be a non-zero constant.
Table 1 has first differences that are constant at 3. -2-(-5) = 3, for example. It represents a linear function.
Table 2 has first differences of 4, 8, 4, 4, neither constant, nor linearly increasing. The function does not have a name.
Table 3 has first differences of -9, -3, +3, +9, and these have differences of +6. This represents a quadratic function.
Table 4 has first differences of 0.5, 1, 2, 4. These have a constant ratio, as do the values in the table. It represents an exponential function.
The table that represents a quadratic function is C. Table 3.
What is a quadratic function?A quadratic function simply means a function that's in the form of f(x) = ax² + bx + c.
In this case, the table that represents a quadratic function is table 3. It has first differences of -9, -3, +3, +9, and these have differences of +6. It can be deduced that in the quadratic function, b and x are numbers.
Learn more about quadratic function on:
https://brainly.com/question/12144333
Which of the following is a rational number but not an integer?
74, 3/10, -25, or 170
Answer:
3/10Step-by-step explanation:
As,
Integers includes whole numbers, and negative of the whole numbers.
And Rationals includes every fraction, Integers and negative fraction.
So,
170, -25, and 74 are both Integers and Rationals.
But,
Only 3/10 is a fraction included only in rationals and not in Integers
Help me answer ??????
Answer:
the triangle is not a right angle
Step-by-step explanation:
5²+12²=169
15²=225
I need a very detailed in depth explanation of laws of Sine and Cosine. (With examples, Law rules etc.)
Answer:
A law stating that the square of a side of a plane triangle is equal to the sum of the squares of the other two sides minus twice the product of the other sides multiplied by the cosine of the angle between them.As we learned, sine is one of the main trigonometric functions and is defined as the ratio of the side of the angle opposite the angle divided by the hypotenuse. It's important for finding distances or height and can also be used to find angle measures, which are measured in radians.Law of cosines signifies the relation between the lengths of sides of a triangle with respect to the cosine of its angle. ... If ABC is a triangle, then as per the statement of cosine law, we have: a2 = b2 + c2 – 2bc cos α, where a,b, and c are the sides of triangle and α is the angle between sides b and c.RULE OF LAW Defined
The rule of law is a principle of governance in which all persons, institutions and entities, public and private, including the State itself, are accountable to laws that are publicly promulgated, equally enforced and independently adjudicated, and which are consistent with international human rights norms and standards. It requires, as well, measures to ensure adherence to the principles of supremacy of law, equality before the law, accountability to the law, fairness in the application of the law, separation of powers, participation in decision-making, legal certainty, avoidance of arbitrariness and procedural and legal transparency.A rule of law framework that includes the following:
Constitution or its equivalent, as the highest law of the land;A clear and consistent legal framework, and implementation thereof;Strong institutions of justice, governance, security and human rights that are well structured, financed, trained and equipped;Transitional justice processes and mechanisms; A public and civil society that contributes to strengthening the rule of law and holding public officials and institutions accountable.[tex]\color{yellow}{}[/tex]
Given v = u + 5t; Find v when u= -15 and t=4
v = u + 5t
v = -15 + 5(4)
v = -15 + 20
v = 5
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]v = u + 5t[/tex]
Given,
[tex]u = - 15 \\ t = 4 \\ v = \: ?[/tex]
To find the value of v, we must substitute the values of u & t in the equation ⇻ v = u + 5t.
[tex]v = u + 5t \\ v = ( - 15) + 5(4) \\ v = - 15 + 20 \\ v = 5[/tex]
✐ The value of v is 5.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
What is the solution set for -2n – 2 > 2?
Answer:
n < -2
Step-by-step explanation:
-2n – 2 > 2
-2n (– 2 + 2) > 2 + 2
-2n > 4
-2n/-2 > 4/-2
n < -2
A sighting is made of a sailboat from a lighthouse. If the lighthouse is 123.5 m above
the level of the water, how far is the sailboat from the shore if the angle of depression
is 18°?
The level of the tide in a harbor changes from 813 8 1 3 feet to 256 2 5 6 feet above sea level over a period of 212 2 1 2 hours. What is the change in tide level per hour over this period of time? Feet per hour
Answer:
-2.63 ft./hour
Step-by-step explanation:
The level of the tide in a harbor changes from 813 feet to 256 feet above sea level over a period of 212 hours. What is the change in tide level per hour over this period of time?
Solution:
The initial tide level was 813 feet while the final tide level was 256 feet above sea level within a period of 212 hours.
The change in tide level per hour is the ratio of the change in tide level to the period taken. Hence:
Change in tide level per hour = (Final tide level - initial tide level) / time taken
Change in tide level per hour = (256 ft. - 813 ft.) / 212 hours
Change in tide level per hour = -2.63 ft./hour
How many quarts are in 583.7 liters? Round to the nearest tenth.
Answer:
616.8
Step-by-step explanation:
look it up
Answer:
616.8 quarts
Step-by-step explanation:
For the following geometric sequence find the explicit formula.
{12, -6, 3, ...}
Answer:
Tn = 12(-1/2)^n
Step-by-step explanation:
We have the nth term of a geometric sequence as
Tn = ar^n-1
a is the first term
r is the common ratio
n is term number
by dividing the second term by the first, we can have the common ratio
We have this as -6/12 or 3/-6 = -1/2
a the first term is 12
So we have the explicit formula as;
Tn = 12(-1/2)^n
Which is equivalent to a+(-a)
Answer:
Step-by-step explanation:
a+(-a)
=a-a
=0
how many questions out of 42 do I need to get right to score 75?
Answer:
31 questions, but it's impossible to score 75%.
Step-by-step explanation:
It's impossible to get exactly a score of 75% out of 42 questions. However, you can get the next closest percentage, which is rounded up to 74% with 31 questions right out of 75.
This is because 31 / 42 = 0.738... You can round 0.738 to 0.74. Then multiply 0.74 by 100, which gives you 74. This means the closest score you can get to 75 is 74% with 31 questions.
You can also score 76% with 32 questions right out of 42 questions. This is because 32 / 42 = 0.761... You can round 0.761 to 0.76. Then multiply 0.76 by 100, which gives you 76.
Suppose an urn has six balls, three red, two blue, and one yellow. On any draw from the urn, all balls in the urn are equally likely to be drawn. Suppose that two balls are drawn, in sequence without replacement, that is, the second ball is drawn without replacing the first ball in the urn. What is the probability that the second ball drawn is blue
Answer:
1 / 3
Step-by-step explanation:
Number of balls :
Red, R = 3 ; Blue, B = 2 ; Yellow, Y = 1
Total = 6
From two draws without replacement, probability that 2nd draw is blue :
Possibilities :
P(RB) or P(YB) or P(BB)
P(RB) = 3/6 * 2/5 = 6/30
P(YB) = 1/6 * 2/5 = 2 /30
P(BB) = 2/6 * 1/5 = 2 / 30
HENCE,
P(RB) + P(YB) + P(BB)
6/30 + 2/30 + 2/30 = 10/30 = 1/3
What is the diameter of a hemisphere with a volume of 272\text{ m}^3,272 m
3 , to the nearest tenth of a meter?
Answer:
D = 10.1m
Step-by-step explanation:
We know that the volume of a sphere of radius R is:
V = (4/3)*pi*R^3
where pi = 3.14
A hemisphere is half a sphere, then the volume of an hemisphere is half of the volume of a sphere, then the volume of a hemisphere of radius R is:
V' = (1/2)*(4/3)*pi*R^3
Now, we know that our hemisphere has a volume:
V' = 272m^3
Then we can solve the equation:
272m^3 = (1/2)*(4/3)*pi*R^3
For R.
(we want the diameter, but remember that the diameter is equal to two times the radius, so finding the radius is a good start)
272m^3 = (1/2)*(4/3)*pi*R^3
272m^3 = (4/6)*3.14*R^3
272m^3*(6/4*3.14) = R^3
∛( 272m^3*(6/4*3.14) ) = R = 5.06 m
And the diameter is two times that, so we get:
D = 2*5.06m = 10.12 m
Rounding this to the nearest tenth of a meter (first digit after the decimal dot), we get:
D = 10.1m
A man borrows $500 and agrees to repay $750 at the end of 4 years. What is the rate of simple interest charged?
Answer:
The rate of simple interest is 0.125, or 12.5%.
Step-by-step explanation:
If the man must repay $750 after 4 years on a $500 loan, the simple interest would be ($750-$500), or $250.
The simple interest formula is i = p*r*t. Solving this for the interest rate, r, yields
i
r = ----------
p*t
and so, with i = $250, p = $500 and t = 4 yr, we find r as follows:
$250
r = ----------------- = 0.125
$500*4
The rate of simple interest is 0.125, or 12.5%.
sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width
Answer:
Length: 12 meters
Step-by-step explanation:
Step 1:
Let us start with the formula of the perimeter of a rectangle, [tex]P=2l+2w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle.
We can set width as variable x. We are also given that the length is three times the width, hence it can be represented as 3x.
Step 2:
We can now write our equation and solve for x :
[tex]24=2x+2*2x\\24=2x+4x\\24=6x\\x=\fbox{4}[/tex]
We set x as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be [tex]\fbox{12}[/tex] meters.
I hope this helps! Let me know if you have any questions :)
Answer:
From the given information, there are two equations in terms of x and y:
2x + 2y = 24 (perimeter of the rectangular plot)
x = 3y (relationship between length and width)
The second equation is expressed in terms of x, so directly substitute the value of x into the first equation and find y:
2(3y) + 2y = 24
y = 3
Substitute y in the second equation to find x:
x = 3(3)
x = 9
The fencing cost is $25 multiplied by the length of the side Sam wants to fence: 25 × 9 = 225. Therefore, Sam needs to spend $225 to fence that side of his plot.
Step-by-step explanation:
Please help solve the question in the image
Answer:
✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
Step-by-step explanation:
Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10
✔️Mean Annual rainfall for Albany (in.):
= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10
= 20.967
✔️Mean Annual rainfall for Zachary (in.):
= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10
= 25.153
✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
Is 0.669429565254154... a rational number
Answer: I think so since it’s a decimal
Step-by-step explanation:
school guidelines require that there must be at least 2 chapereones for every 25 students going on a school trip. How many chaperones must there be for 80 students?
Answer:
1 to 25 students require (at least) 2 chaperones. ... 51 to 75 students require (at least) 6 chaperones.
PLEASE MAKE ME BRAINLIEST ANSWER
Step-by-step explanation:
has to be as a fraction help plzz
What's the value of x?
Answer:
x= 31
Step-by-step explanation:
Solve for x. Round to the nearest tenth of a degree, if necessary. Answer:x =
Please respond quick
Answer:
x = 61.6 degree
Step-by-step explanation:
take x degree as reference angle
using sin rule
sin x = opposite / hypotenuse
sin x = 4.8 / 5.4
sin x = 0.88
x = [tex]sin^{-1} (0.88)[/tex]
x = 61.64
x = 61.6 degree
Anyone know how to factorise this please ?! :)
9514 1404 393
Answer:
a) (x +2)(x +3)
b) x = -2 or -3
Step-by-step explanation:
a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...
6 = 1×6 = 2×3
The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...
x² +5x +6 = (x +2)(x +3)
__
b) The solutions to the equation are the values of x that make the factors zero:
(x +2) = 0 ⇒ x = -2
(x +3) = 0 ⇒ x = -3
I hope you guys can help me with this question :)
