Answer:
x = 20,000
p = $40
If the price increase by $1, the demand will decrease by 1000
Step-by-step explanation:
Given:
x = 160 - p
x = number of Robby costumes demanded in thousands
p = price in dollars.
a. How many costumes can be sold at a price of $140?
x = 160 - p
x = 160 - 140
= 20
x = 20,000
20 thousand costumes can be sold at a price of $140
b. What price should be charged if the demand is 120,000 Robby costumes?
x is in thousand
p is in dollars
x = 160 - p
x + p = 160
120 + p = 160
p = 160-120
= 40
p = $40
c. If the price increases by $1.00, by how much does the demand decrease?
x = 160 - p
= 160 - 141
= 19
x= 19,000
If the price increase by $1, the demand will decrease by 1000
Find height when diameter is 1.4m and its hold 770l water
≈ 0,5 m
≈ 50 cm
Step-by-step explanation:d = 2r => r = d/2 = 1,4m/2 = 0,7 m
V = πr²·h => h = V/πr²
770 l = 0,77 m³
h = 0,77m³/3.14×0,49m²
= 0,77m³/1,5386m²
= 0,5004 m
≈ 0,5 m
≈ 50 cm
What is the image of (-5, -8) after a reflection over the y-axis?
Answer:
[tex](5,-8)[/tex]
Step-by-step explanation:
The rule for a reflection over the y-axis is
[tex](x,y) -> (-x,y)[/tex]
In this situation, we have to change the sign of x.
[tex](-5,-8) -> (5,-8)[/tex]
A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix? focus: (0,8); directrix: y = –8 focus: ; directrix: y = focus: (8,0); directrix: x = –8 focus: ; directrix: x =
Answer:
the coordinate of the focus is: (0, 1/2)
the equation of the directrix is: y=-1/2
Step-by-step explanation: The standard equation for a parabola that opens upward- parallel to the y-axis, is: x2=4ay. Meaning, a = distance from the vertex to focus and the vertex is at origin: (0,0).
4a is equal to 2
a is equal to 2/4
a is equal to 1/2 or 0.5
The parabola has
focus: (0,1/2)
directix: y=-1/2
What is the formula for focus and directrix of a parabola?If the parabola is given by
y=a(x-h)²+k
then the focus of the parabola is given by
(h,k+1/4a)
and the directrix of the parabola is given by
y=k-a
How to solve the problem?Given parabola is x²=2y
So, the parabola is y=(1/2)x², when compared with y=a(x-h)²+k we have
a=1/2, h=0 and k=0
So, the focus of the parabola is
[tex](0,\frac{1}{4\frac{1}{2}})= (0,\frac{1}{2})[/tex]
and, the directrix of the parabola is
y= -1/2.
Hence, the parabola has
focus: (0,1/2)
directix: y=-1/2
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Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle.
Answer:
well the length on both increases by x3 and the height increases by 2
Step-by-step explanation:
Define intersecting lines
Answer:
lines that meet at a point
How can you tell that 7. 630 and 7. 63 are equivalent decimals?
because if you add a zero onto something after the decimal point it doesn't increase or decrease the value of the number.
7.630 is literally just 7.63.
but if it was 76.3 and 760.3 it would be different.
PLEASE HELP QUICK what algebraic expression represents GK
Answer:
answer is 6x+4
mark it as branliest.
Answer:
GK = 6x + 4
Step-by-step explanation:
3x + 5 - x + 4x - 1 - x + x
3x -x + 4x - x + x + 5 -1
6x + 4
Simplify the expression: 42x3y6 6xy6 A) 7x2y12 B) 7x2y C) 36x2y12 D) 7x2
Answer:
D
Step-by-step explanation:
So first you simplify
Step 1: (2•3•7x3y6) (2•3xy6)
Step 2: you divide x3 by x1 = x (3-1) = x2
step 3: You cancel out y6 as it appears on both sides of the fraction line.
step 4: cancel out 2 as it appears on both sides.
step 5: cancel out 3 as it appears on both sides.
step 6: final result 7x2
A factory makes toy cars. For the past 6 days, the factory-made 7,737 toy cars each day. How many toy cars did the factory make? PLEASE HELP I WILL MARK YOU BRAINLIEST AND PLEASE EXPLAIN
If a factory made 7,737 toy cars each day for 6 days, to find the total number of cars, we can add 7,737 to itself 6 times or just multiply by 6.
[tex]7737*6=46422[/tex]
The factory made 46422 toys in the last 6 days.
Hope this helps.
頑張って!
For the given functions f and g find the indicated composition. f(x) = -2x + 2, g(x) = 3x + 2 A. - 6x - 4.B. - 6x + 8.C. 6x + 8.D. - 6x + 6.Find the Inverse of the one-to-one function. f(x) = 4x + 8
Answer:
i'm not sure if it is right
Step-by-step explanation:
1, B
g(f(x)) --> g(-2x+2)=3x+2
g(-2x+2)=3.(-2x+2)+2=-6x+6+2=-6x+8
2,
#1: Write as a linear equation
y=4x+8
#2: Swap x and y variables
x=4y+8
#3: Solve for y
4y+8=x
4y=x-8
y=[tex]\frac{x-8}{4}[/tex]
#4: Write in inverse notation:
[tex]f^{-1}[/tex](x)=[tex]\frac{x-8}{4}[/tex]= (x/4) - 2
Rewrite as a logarithmic equation.
*=8
Answer:
yes in the steps
Step-by-step explanation:
conclusive
Hi! I really need help with figuring out how to do #2, I just don't get how it's done and really need an explanation! thanks in advance :)
Answer:
18
Step-by-step explanation:
g(3)+f(4)
=3²+1+2×4
=9+1+8
=18
Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer.
Point (9,−11); Slope=−8
Answer:
Step-by-step explanation:
y + 11 = -8(x - 9)
y + 11 = -8x + 72
y = -8x + 61
The equation of the line in slope-intercept form having the given point and slope is: y = -8x + 61.
How to Find the Equation of a Line in Slope-intercept Form?Slope-intercept formis expressed as y = mx + b.
Given the following:
A point = (9, -11) = (a, b)
Slope = -8 = m
Substitute m = -8 and (a, b) = (9, - 11) into y - b = m(x - a)
y - (-11) = -8(x - 9)
Rewrite in slope-intercept form
y + 11 = -8x + 72
y = -8x + 72 - 11
y = -8x + 61
Learn more about slope-intercept form on:
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what is the distance between -7 and -3 1/2
Answer:
3.5 units
Step-by-step explanation:
I'm big brain
Simplify the expression to a polynomial in standard form:
(3x − 2)(22 - 2x + 1)
Please answer
Answer:
[tex]-6x^2 + 73x - 46[/tex]
Step-by-step explanation:
(3x-2)(22-2x+1)
simplify (22-2x+1)
(3x-2)(23-2x)
distribute
69x - 6x^2 - 46 + 4x
simplify
[tex]-6x^2 + 73x - 46[/tex]
Evaluate the given expression if x= -3 and y=6.
x+3y / 6+3y
Answer:
5/8
Step-by-step explanation:
The given expression is [tex]\dfrac{x+3y}{6+3y}[/tex]
We need to find of above expression when x = -3 and y = 6
Put x = -3 and y = 6 in given expression such that,
[tex]\dfrac{x+3y}{6+3y}=\dfrac{(-3)+3(6)}{6+3(6)}\\\\=\dfrac{-3+18}{6+18}\\\\=\dfrac{15}{24}\\\\=\dfrac{5}{8}[/tex]
So, the value of given expression is 5/8.
What is the area of the soccer field in square feet if A soccer field is a rectangle 150 feet wide and 350 feet long.
Answer:
52,500 sq feet
Step-by-step explanation:
150 x 350 = 52,500 sq feet
To find the area, you do width x length.
Hope this helps!!
42 is 64% of what number
Answer:
the answer is 65.625, 42 is 64% of 65.625
Find x and round to the nearest tenth
Answer:
The answer is
x = 38.7°Step-by-step explanation:
Since the triangle is a right angled triangle we can use trigonometric ratios to find the value of x
To find the value of x we use tan
[tex] \tan(\theta) = \frac{opposite}{adjacent} [/tex]
From the question
the opposite is 12
the adjacent is 15
We have
[tex] \tan(x) = \frac{12}{15} \\ x = \tan^{ - 1} ( \frac{12}{15} ) \\ x = 38.659808[/tex]
We have the final answer as
x = 38.7°Hope this helps you
Find the distance between points P and Q.
Answer:
4;3 might be the answer
A train leaves Philadelphia at 3:00 PM. A second train leaves the same city in the same direction at 9:00 PM. The second train travels 120mph faster than the first. If the second train overtakes the first at 11:00 PM, what is the speed of each of the two trains?
Answer:
Step-by-step explanation:
2nd train DATA:
time = 2 hrs ; rate = x + 120 mph ; distance = 2(x+120) = 2x+240 miles
------
1st train DATA:
time = 8 hrs ; rate ; x mph ; distance = 8x miles
------------------
Equation:
distance = distance
8x = 2x+240
6x = 240
x = 40 mph (speed of the 1st train)
x+120 = 160 mph (speed of the 2nd train)
my regards #3Ss
A triangle has sides with lengths of 2x - 7, 5x - 3, and 2x - 2. What is the perimeter of the triangle
Answer:
3x
Step-by-step explanation:
An apartment building has 11 floors in it. Each floor has 9 rooms on it. If each room has two people living there, how many people live in this apartment building?**
Answer: 198 total people
Step-by-step explanation:
so there are 11 floors and each obtain 9 rooms so if there are two people in each of the 9 rooms there will 18 total people in one floor and since there are 11 floors multiply it by 18 to find out how many people live in the apartment.
11 * 18 = 198
Decide whether the set S = {−1, 0 ,1} is closed under each of the following operations. Be sure to justify
each of your conclusions.
1. Multiplication
2. Addition
3. Subtraction
4. Division
5. Squaring
6. Square rooting
7. Averaging 2 numbers
8. Averaging 3 numbers
Answer:
Explained below
Step-by-step explanation:
Sol: 1. Multiplication
Multiply the set S; the answer should also belong to the set S. For example, -1 x 0 = 0 Є S and -1 x 1 = -1 Є S, Hence the set S is closed under multiplication.
2. Addition
When we add two sets S elements, the answer should also belong to the set S, for example, 1 + 0 = 1 Є S but 1 + 1 = 2, which does not belong to set S; hence S is not closed under addition.
3. Subtraction
The set S is not closed under subtraction because -1 – 1 = -2, -2 is not the set S.
4. Division
The set S is not a closed division because when we divide one S element to another element, the answer does not belong to the set S, for example -1/0 = undefined.
5. Squaring
The set is closed under squaring if we square an element of the set S, and the result also belongs to the set S, for example, (0)2 = 0 and (-1)2 = 1, which belongs to the set S. Hence set S is closed under squaring.
6. Square rooting
The set S is not closed under square rooting because when we take the square root of an element of set S, the answer does not belong to the set S. √-1 = undefined.
7. Averaging two numbers
Averaging two numbers mean the sum of two numbers of set S is divided by two. For example, 1 + 0/2 = 1/2, which is not belongs to set S. hence set is not closed under averaging two numbers.
8. Averaging three numbers
The sum of three numbers of set S is divided by 3; the answer should belong to the set S.
-1 + 0 + 1 / 3= 0, 0 belongs to set. Hence the set S is closed under averaging three numbers.
Answer is explained below. We can say that Subtraction is not closed under the set.
Given set S = {−1, 0 ,1} we have to check the given set is closed or not.
1. Multiplication
Multiply the set S; the answer should also belong to the set S. For example, [tex]-1\times 0=0[/tex], 0 Є S and [tex]-1\times 1 = -1[/tex] , -1 Є S, so the set S is closed under multiplication.
2. Addition
On adding the any two values of the set, the result belong to the set itself, for ex if we add [tex]-1+0=-1\\[/tex] Є S but 1. so we can say that the given set is closed under addition.
3. Subtraction
The set S is not closed under subtraction because -1 – 1 = -2, -2 is not the set element S.
4. Division
The set S is not belongs to closed division because when we divide one S element to another element, the answer does not belong to the set S, for example -1/0 = undefined.
5. Squaring
The set is closed under squaring,since we square an element of the set S, and the result also belongs to the set S. for example, [tex]0^{2} =0[/tex] and[tex]-1^{2} =1[/tex] which belongs to the set S. Hence set S is closed.
Hence We can say that Subtraction is not closed under the set.
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Find the nth term of this quadratic sequence 7,16,25,34,43
Answer:
52
Step-by-step explanation:
everytime it adds by 9:
7+9=16
16+9=25
25+9=34
34+9=43
43+9=52
what is the answer to 1.58x1.78=
20 POINTS AND BRAINLIEST Ed has 93 marbles. In which sequence can he arrange them in to use all the marbles?
Answer:
A.) asequence with six terms that starts with 1 and has a common ratio of 2
Simplify: Negative two and one-third minus negative ten and one-sixth(20 points)
Negative twelve and one-half -12 1/2 Twelve and one-half 12 1/3 Seven and five-sixths 7 5/6 Negative seven and five-sixths -7 5/6
Given:
The expression is
[tex]-2\dfrac{1}{3}-\left(-10\dfrac{1}{6}\right)[/tex]
To find:
The value of the expression.
Solution:
We have,
[tex]-2\dfrac{1}{3}-\left(-10\dfrac{1}{6}\right)=-2\dfrac{1}{3}+10\dfrac{1}{6}[/tex]
Convert the mixed fraction in improper fraction.
[tex]=-\dfrac{2\times 3+1}{3}+\dfrac{10\times 6+1}{6}[/tex]
[tex]=-\dfrac{6+1}{3}+\dfrac{60+1}{6}[/tex]
[tex]=-\dfrac{7}{3}+\dfrac{61}{6}[/tex]
Taking LCM, we get
[tex]=\dfrac{-2(7)+61}{6}[/tex]
[tex]=\dfrac{-14+61}{6}[/tex]
[tex]=\dfrac{42}{6}[/tex]
Convert it into mixed fraction.
[tex]=\dfrac{6(7)+5}{6}[/tex]
[tex]=7\dfrac{5}{6}[/tex]
Therefore, the correct option is C.
16. The difference of two numbers is 3 and the
difference of their square is 69. Find the
numbers.
Make a system of equations.
[tex]x-y=3[/tex]
[tex]x^2-y^2=69[/tex]
[tex]x=y+3[/tex]
[tex](y^2+6y+9)-y^2=69[/tex]
[tex]6y+9=69[/tex]
[tex]6y=60[/tex]
[tex]y=10[/tex]
[tex]x=10+3[/tex]
[tex]x=13[/tex]
[tex]x=13,y=10[/tex]
Hope this helps.
頑張って!
2 ( x - 6 ) = 3 ( x + 9 )
Steps to solve:
2(x - 6) = 3(x + 9)
~Distribute both sides
2x - 12 = 3x + 27
~Add 12 to both sides
2x = 3x + 39
~Subtract 3x to both sides
-x = 39
~Divide both sides by -1
x = -39
Best of Luck!
Answer:
2×-12=3×+27
2×-3×=27+12
-×=39
Step-by-step explanation:
Grouping like terms
then simplify to get x