Answer:
x=7.5
Step-by-step explanation:
Rental: R(x)=(27+x) dollar per day
Number of cars rented: N(x)
=(210-5x)
Income: I(x) =(27+x)(210-5x)
=5670 - 135x + 210x-5x^2
=5670+75x-5x^2
The maximum will be achieved when the derivative of
I(x) =zero.
I(x)=5670+75x-5x^2
dI(x)/dx=75-10x=0
75-10x=0
75=10x
x=75/10
=7.5
x=7.5
x=7.5 is the rate at which the car will be rented to produce maximum income.
The maximum income could be derived by using x=7 or x=8
27+7=$34 per day
27+8=$35 per day
When x=7
I(x)=5670+75x-5x^2
=5670+75(7)-5(7)^2
=5670+525-5(49)
=5670+525-245
=5,950
When x=8
I(x)=5670+75x-5x^2
=5670+75(8)-5(8)^2
=5670+600-5(64)
=5670+600-320
=5950
Either x=7 or 8 will yield the same income
how to find the angel in trigonometry when all the lengths of the right angled triangle already given.
Answer:
The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle
Use rule ; SOHCAHTOA .Where sin x = opp/hyp
cos x = adj/hyp
tan x= opp/adj
Substitute the given values for the three sides
into any of the above rules
[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]
Step-by-step explanation:
I Hope It Helps :)
To solve 6x=30, Keith divided both sides of the equation by 6. Which property justify this step
Answer:
6x to find x on it's own you need to divide by the number infront,
Step-by-step explanation:
Yasmin bought several items at the discount store. She paid 8.75 percent sales tax, an amount of $4.59, on the total amount of her purchase. What was the total amount of her purchase before tax was added? $40.16 $52.46 $190.63 $401.63
Answer:
$52.46
Step-by-step explanation:
We are told that ...
8.75% · purchase = $4.59
Dividing by the percentage, we have ...
purchase = $4.59/0.0875 = $52.46
Yasmin's pre-tax total was $52.46.
Answer:
the correct answer is b aka 52.46
Factor completely 3x4 − 48
Answer:
[tex]3(x - 2)(x + 2)( {x}^{2} + 4)[/tex]Step-by-step explanation:
[tex] 3{x}^{4} - 48[/tex]
Factor out 3 from the expression:
[tex]3( {x}^{4} - 16)[/tex]
Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex],factor the expression
[tex]3(( {x}^{2} ) ^{2} - {(4)}^{2} )[/tex]
[tex]3( {x}^{2} - 4)( {x}^{2} + 4)[/tex]
Again, factor using the formula of [tex] {a}^{2} - {b}^{2} [/tex]
[tex]3(x - 2)(x + 2)( {x}^{2} + 4)[/tex]
Hope this helps...
Good luck on your assignment...
Answer:
3(x − 2)(x + 2)(x2 + 4)
Step-by-step explanation:
Took the quiz and got it right hope this helps :) , you can check out the other answer for explanation.
Please help me I will mark BRAINLIST :))))
Answer:
47%
Step-by-step explanation:
The total number of student is 4+6+2+2+3+4+6+3 = 30 students
P( male) = male / total
= (4+6+2+2)/ total
=14/30
=.466666666
46.66666%
To the nearest whole percent
47%
Pleas answer this question now fast in two minutes
Answer:
3
Step-by-step explanation:
Adjacent angles have a common side and no common interior points.
Tim wants to build a rectangular fence around his yard. He has 42 feet of fencing. If he wants the length to be twice the width, what is the largest possible length? Write an equation and solve.
Answer:
Rectangular fence dimensions:
x = 14 ft
w = 7 ft
A = 98 ft²
Step-by-step explanation:
Rectangular fence dimensions:
x length and w width
Then x = 2*w ⇒ w = x/2
Perimeter is
p = 2*x + 2*w
p = 2*x + 2* x/2
p = 2*x + x
3*x = 42
x = 14 ft and w = 14/2 ⇒ w = 7 ft
For which quadratic equation is the axis of symmetry x = 3
a. y = -x2 + 3x + 5
b. y = -x2 + 6x + 2
c. y = x2 + 6x + 3
d. y = x2 + x + 3
Answer:
b) y = -x2 + 6x + 2
Step-by-step explanation:
de un tanque lleno de agua se utiliza la cuarta parte para lavar ropa, los 5/ 6 del resto para cocinar y aun quedan 100 litros de agua ¿ cuantos litros de agua tenia el tanque?¿ cuantos litros de agua se utilizan para cocinar?
Answer:
a. 800 litros
b. 500 litros
Step-by-step explanation:
Aquí, se nos dice que 1/4 del total se usa para lavar la ropa.
Lo que queda sería 1-1 / 4 = 3/4 Fuera de esto, 5/6 se usa para cocinar.
La fracción utilizada para cocinar es 5/6 * 3/4 = 15/24 = 5/8
Y todavía nos quedan 100 litros.
La cantidad utilizada ya sería 1/4 + 5/8 = (2 + 5) / 8 = 7/8
Entonces la fracción no utilizada = 1-7 / 8 = 1/8
Ahora, es este 1/8 que corresponde a 100 litros.
Digamos que el volumen total es x litros inicialmente, Eso significa 1/8 * x = 100 x / 8 = 100 x = 800 litros
La fracción utilizada para cocinar es 5/8 del total, por lo que el valor sería 5/8 * 800 = 500 litros
assume that y varies inversely with x. if y = 8 when x = 1.55, find x when y = -0.62
Answer:
y varies inversely with x is written as
y = k /x
where k is the constant of variation
y = 8 x = 1.55
8 = k / 1.55
Multiply through by 1.55
k = 12.4
The formula is
y = 12.4 / x
when y = - 0.62
- 0.62 = 12.4/x
- 0.62x = 12.4
Divide both sides by - 0.62
x = 12.4/-0.62
x = - 20
When y = - 0.62 x = - 20
Hope this helps
25x^2+58+16 how do you factor
Answer:
[tex](25x + 8)(x + 2)[/tex]
Step-by-step explanation:
[tex]25x^{2} + 58x + 16 = 25x^{2} + 50x + 8x + 16 = 25x(x + 2) + 8(x + 2) = (25x + 8)(x + 2)[/tex]
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 1/8. There are 56 marbles in the bag and each is equally likely to be chosen. Work out how many red marbles there must be
Answer:
7 red marbles
Step-by-step explanation:
P( red) = red marbles / total marbles = 1/8
We know there are 56 marbles
red marbles/56 = 1/8
Multiply by 56
red marbles = 1/8 *56 = 7
There are 7 red marbles
Hi can someone please help meee
Brian plays basketball. In the past he has made 4 out of every 5 free throws. What is the probability, as a decimal, that Brian will make the next two free throws?
Answer:
0.64
Step-by-step explanation:
4 out of 5 free throws is 0.8 as a decimal.
The probability that Brian will make 2 free throws is 0.8 for the first one, and then 0.8 of that for the second one. That means you multiply the two to get your answer and 0.8 times 0.8 = 0.64.
Gabriella drives her car 400 miles and averages a certain speed. If the average speed had been 7 mph less she could have traveled only 350 miles in the same length of time what is her average speed
Answer:
Gabriella's average original speed was 56 [tex]\frac{mi}{h}[/tex]
Step-by-step explanation:
Let's use the equation that defines the average speed "v" of Gabriella during the time (t) that her trip took:
[tex]v = \frac{distance}{time} \\v=\frac{400}{t}[/tex]
Next let's write a similar average speed equation for the case in which she drove at (v - 7 mi/h) during the same time "t" and covered 350 miles:
[tex](v-7)=\frac{350}{t}[/tex]
Notice that the time "t" in the denominator appears equally in both equations we wrote, so let's isolate them on the right:
[tex]\frac{v}{400} =\frac{1}{t} \\and\\\frac{(v-7)}{350} =\frac{1}{t}[/tex]
now equal both expression since they both share the same value on the right, and solve for the unknown "v":
[tex]\frac{v}{400} =\frac{(v-7)}{350} \\350\,v=400\,(v-7)=\\350\,v=400\,v-2800\\2800=50\,v\\v=\frac{2800}{50} \,\,\frac{mi}{h}\\v=56\,\,\frac{mi}{h}[/tex]
Which of the following is the equation of the function below?
Answer:
The answer is D
Step-by-step explanation:
y=2sec[2(x+pi)]-2 is correct on edg 2020. Also if you plug this equation into a graphing calculator the graph at the top shows up
Answer:
d
Step-by-step explanation:
Please help quicklyyy!Zachary sold his stock in a computer company. He received $34 per share. This was $8 less
than twice what he paid for it. What was the price of the computer stock per share when he
bought it?
Answer:
Hey there!
Let x be the price he paid for.
2x-8=34
2x=42
x=21
He bought the stock for 21 dollars.
Hope this helps :)
Answer:
The price per share when he bought it was 21
Step-by-step explanation:
Let x = price he paid for the stock
34 = 2x-8
Add 8 to each side
34+8 = 2x-8 +8
42 = 2x
Divide by 2
42/2 = 2x/2
21 = x
The price per share when he bought it was 21
simplifica: 49/90, se puede????
Answer:
49/90 is simplified
Step-by-step explanation:
Answer:
Step-by-step explanation:
49/90
Find the area of the shaded region where a = -1.88 and b = 2.12. Note: the graph may not be drawn to scale. Write only a number as your answer. Round to 4 decimal places (for example 0.6148). Do not write as a percentage. (picture in attachment)
Answer:
0.0471
Step-by-step explanation:
Here, we want to find the area of the shaded region.
The area of the shade region = 1- area of the unshaded region
The area of the unshaded region is as follows;
P(b) - P(a)
and that is;
P(-1.88<x<2.12) = 0.95294 from z table
So the area of the shaded region = 1-0.95294 =
0.04706 = 0.0471 to 4 d.p
Please help me thank you
Answer:
B
Step-by-step explanation:
I NEED HELP PLEASE! THANKS :)
Answer:
A
Step-by-step explanation:
First, let's do the difference of two squares:
[tex](1-cos^4(\theta))=(1-cos^2(\theta))(1+cos^2(\theta))[/tex]
Note that [tex]sin^2(\theta)=1-cos^2(\theta)[/tex] (Pythagorean Identity)
Thus, we can substitute:
[tex]sin^2(\theta)(1+cos^2(\theta))[/tex]
Now, and I'm serious, you just have to use your creativity. After a while, you will find that:
[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]
So:
[tex]1+sin^2(\theta)+cos^2(\theta)=1+1[/tex]
Thus, we have [tex]1+cos^2(\theta)=2-sin^2(\theta)[/tex]
Now, we can substitute:
[tex]sin^2(\theta)(2-sin^2(\theta))=2sin^2(\theta)-sin^4(\theta)[/tex]
Expected Value (50 points) Game: Roll two dice. Win a prize based on the sum of the dice. Cost of playing the game: $1 Prizes: Win $10 if your sum is odd. Win $5 if you roll a sum of 4 or 8. Win $50 if you roll a sum of 2 or 12. Explain HOW to find the expected value of playing this game. What is the expected value of playing this game? Show your work. (30 points)
Answer:
$7.89
Step-by-step explanation:
There are 36 possible outcomes when rolling two dice.
The sum will be odd if the first die is odd and the second is even or if the second is odd and the first is even. The probability of an odd sum is:
[tex]P(odd)=\frac{3}{6} *\frac{3}{6} +\frac{3}{6} *\frac{3}{6}\\P(odd)=0.5[/tex]
There is a probability of 1 in 2 of winning $10.
There are 8 ways to get a sum of 4 or 8 (1,3; 3,1; 2,2; 5,3; 3,5; 2,6; 6,2; 4,4). There is a probability of 8 in 36 or 2 in 9 of winning $5.
There are 2 ways to get a sum of 2 or 12 (1,1; 6,6). There is a probability of 2 in 36 or 1 in 18 of winning $50.
Any other outcome will not payout any amount.
The expected value is the sum of all possible payouts multiplied by their likelihood (including a 100% chance of paying $1 to play).
[tex]E=-1+10*\frac{1}{2} +5*\frac{2}{9}+50*\frac{1}{18}\\E=\$7.89[/tex]
The expected value is $7.89.
A television game show has 8 doors, of which the contestant must pick 2. Behind 2 of the doors are expensive cars, and behind the other 6 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins both cars.
Answer:
2/56
Step-by-step explanation:
which of the following is equivalent to the expression i^57. A.i B.1 C.-1 D.-i
Answer:
A: i
Step-by-step explanation:
i^57=i use the calculator
Julio’s rotation maps point K(–6, 9) to K’(9, 6). Which describes the rotation? A. 90 degrees clockwise rotation B. 180 degrees rotation C. 90 degrees counterclockwise rotation D. 270 degrees clockwise rotation
Answer:
The correct option is;
A. 90 degrees clockwise rotation
Step-by-step explanation:
From the given information, we have;
The coordinates of the pre-image is K(-6, 9)
The coordinates of the image is k'(9, 6) which is similar to a transformation of a pre-image of (x, y) to an image of (y, -x)
The transformation from (x, y) to (y, -x) can be obtained from either;
1) A rotation of 90° (clock wise)
2) A rotation of 270° counter clockwise
Therefore, the correct option that maps K(-6, 9) to K'(9, 6) is a 90 degrees clockwise rotation.
Answer: The person above me is correct! A. 90 degrees clockwise rotation
Step-by-step explanation:
The median of the values in a data set is x. If 32 were subtracted from each
of the values in the data set, what would be the median of the resulting data?
A. X+32
B. X-32
C. X
D. 32 - x
Answer:
The answer is B: (x-32)
Answer:
B
Step-by-step explanation:
ape.x
What is the difference from the point (-6,2) to the point (2,17)?
Answer: Distance is 17
Step-by-step explanation:
[tex]d = √((x2-x1)2 + (y2-y1)2)[/tex]
[tex](x2-x1) = (2 -6) = 8[/tex]
[tex](y2-y1) = (17 - 2) = 15[/tex]
Add them all together
[tex](8)2 + (15)2 = 64 + 225 = 289[/tex]
Square 289
[tex]\sqrt{289} =17[/tex]
Read the excerpt from A Vindication of the Rights of Woman. Let there be then no coercion established in society, and the common law of gravity prevailing, the sexes will fall into their proper places. And, now that more equitable laws are forming your citizens, marriage may become more sacred: your young men may choose wives from motives of affection, and your maidens allow love to root out vanity. What is the central idea of the excerpt? In proper societies, there are strict laws about marriage. Men will fall into submission when their wives are well educated. In equal roles, men and women will establish more meaningful marriages. Men and women should marry for reasons other than love and affection.
Answer:
In equal roles, men and women will establish more meaningful marriages.
Step-by-step explanation:
Marry Wollstonecraft in her feminist philosophy "A Vindication of the Rights of Woman" had projected the idea of equalizing the rights of men and women. She builds her argument against the theorists who do not consider education to be important for the female gender of the society. She presents her point by giving instances of how the education of women is indirectly related to the upliftment of the entire society. Wollstonecraft urges for equal fundamental rights to be shared by both men and women. An educated woman not just helps to become a good 'companion' of her husband but also raises her children in an efficient way.
please fill in the final row (x)
Answer:
x = 11
Step-by-step explanation:
The Frequency column has to total 50 ( number of rolls on dice )
Thus total the given frequencies and equate to 50, that is
12 + 8 + 7 + 3 + 9 + x = 50
39 + x = 50 ( subtract 39 from both sides )
x = 11
Answer:
x=11
Step-by-step explanation:
12+8+7+3+9=39
50-39= 11
Given: Parallelogram LMNO; MO ⊥ LN Prove: LMNO is a rhombus. Parallelogram L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. A square is drawn around point P. Sides L M and O N are parallel and sides L O and M N are parallel. ♣: ♦: ♠: I WILL GIVE BRAINLIEST PLS ANSWER
The proofing is as follows:
Given that,
|LO|=|MN| and |LM|=|ON|
It means that Opposite sides of a parallelogram are equa
Now, LN⊥OM
So,
∠LPO = ∠NPO = 90° ( by definition of perpendicular lines)
LPO ≅ ∠NPO (by definition of congruent angles)
|LP|=|PN| (diagonals of a parallelogram bisect each other)
based on this LMNO is a rhombus
Learn more: https://brainly.com/question/10046743?referrer=searchResults
Answer:
All right angles are congruent
Reflexive property
Opposite sides of a parallelogram are congruent
Step-by-step explanation:
That what i got on my assignment
(-3)(-2)[-4-(-2)]
Slove the problem
Answer:
-12
Step-by-step explanation:
(-3)(-2)[-4-(-2)]
6[-4-(-2)]
6[-2]
-12