Answer:
n/5 = 18
Step-by-step explanation:
Quotient means division.
n/5 = 18
A, B , and C are collinear points: B is between A and C. If AB = 36, BC = 5x - 9 , and AC = 54 , find x
9514 1404 393
Answer:
x = 5.4
Step-by-step explanation:
The segment sum theorem tells you ...
AB +BC = AC
36 +(5x -9) = 54
5x = 27 . . . . . . . . . . . subtract 27 from both sides
x = 5.4 . . . . . . . . . . divide by 5
Use the graph to estimate f(4)
Answer:
f(4) = 1
Step-by-step explanation:
Locate x = 4 on the x- axis, then go vertically up to meet the graph at (4, 1 ) , then
f(4) = 1
The value of the function f(4) is 1. The correct option is C.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The value of the function f(4) will be calculated as below:-
Locate x = 4 on the x- axis, then go vertically up to meet the graph at (4, 1 ) ,
f(4) = 1
Therefore, the value of the function f(4) is 1. The correct option is C.
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Create a system of equations whose solution is (2,-4).
Answer:
x=-4 and y=2 Those 2 equations when graphed give a vertical line and a horizontal line that intersect at the point (-4,2)
x+4=0 and y-2=0 are the same two lines.
or if you want more complicated systems of equations, with the same solution:
x+y=-2 and x-y=-6
in standard form, that's y=-x-2 and y=x+6 Graph those two lines and they intersect at (-4,2)
Those 2 lines are with slopes of -1 and +1. Those 2 equations are a system of equations
whose solution is x=-4 and y=2.
Rotate two perpendicular lines around the point (-4,2) and you get more systems of
equations with the same solution.
They don't have to be perpendicular though. x+y=-2 and x=-4 are two lines forming
a 45 degree angle, with the same solution (-4,2)
They don't have to be linear either. Take a parabola with the vertex (-4,2) and the line x=-4.
They intersect at the point (-4,2). That parabola could be the simple y=x2 shifted up and
to the left, to y-2 = (x+4)2 or y=x2+8x+18 or it could be any one of a family of parabolas with
the same vertex.
You could have 2 circles tangent at the point (-4,2) Endless circles could have that point
as a tangent and their equations having that same solution (-4,2)
Step-by-step explanation:
Hope this helps <3
Find the volume of the solid. PLEASE HURRY ASAP
You decide to make a side business of selling face mask. The marginal cost for making a mask is $0.50 per mask. The total cost to to make 100 mask is hours is $62. You decide to sell the mask for $3 a mask.
Required:
a. Find the linear cost function C(x).
b. Find the revenue function R(x).
c. How many mask must be made to break even. State in a complete sentence using the context of the problem.
d. Determine the interval of profit and loss. State in a complete sentence using the context of the problem
Given:
Marginal cost for making 1 mask = $0.50
Total cost to make 100 masks = $62
Revenue per mask = $3
To find:
(a) Linear cost function C(x)
(b) Revenue function R(x)
(c) Break even point
(d) Interval of profit & loss
Solution:
(a) We know that linear cost function is given by,
Total cost = Fixed cost per unit + (Marginal cost per unit)*(Number of units)
Let 'x' denote the number of units
[tex]\Rightarrow[/tex] C(x) = b + mx
It is given that, m = $0.50
[tex]\Rightarrow[/tex] C(x) = b + 0.5x
It is also given that the total cost of making 100 masks is $62
[tex]\Rightarrow[/tex] C(100) = $62
[tex]\Rightarrow[/tex] b +0.5(100) = 62
[tex]\Rightarrow[/tex] b + 50 =62
[tex]\Rightarrow[/tex] b = 62 - 50
[tex]\Rightarrow[/tex] b = 12
[tex]\Rightarrow[/tex] C(x) = 12 + 0.5x
This is the linear cost function, C(x)
(b) We know that,
Total Revenue = Revenue per unit * Number of units
It is given that a mask is sold for $3, i.e., revenue per mask is $3
Let 'x' denote the number of units
Then the revenue function is given by,
R(x) = 3x
This is the revenue function, R(x)
(c) We know that, break even point refers to the point where total cost is equal to the total revenue. Thus, at break even point, we have,
C(x) = R(x)
[tex]\Rightarrow[/tex] 12 + 0.5x = 3x
[tex]\Rightarrow[/tex] 3x - 0.5x = 12
[tex]\Rightarrow[/tex] 2.5x = 12
[tex]\Rightarrow x=\frac{12}{2.5}[/tex]
[tex]\Rightarrow[/tex] x = 4.8
Since, 'x' denotes the number of masks, it must be a whole number and not a fraction. Thus, we will round off our value to get the break even point as 5 masks.
That is, 5 masks must be made to break even.
(d) We know that the profit function is given as the difference of revenue function and cost function. That is, we have,
P(x) = R(x) - C(x)
[tex]\Rightarrow[/tex] P(x) = 3x - (12 + 0.5x)
[tex]\Rightarrow[/tex] P(x) = 3x - 12 - 0.5x
[tex]\Rightarrow[/tex] P(x) = 2.5x -12
Now, we know that there is profit when the value of the profit function is positive & there is loss when the value of profit function is negative. Thus, we can calculate the intervals of profit and loss by finding the intervals where the profit function is positive & negative respectively. Alternatively, since the break even point denotes the point where the value of the profit function is 0, we can find the intervals of profit and loss as the intervals greater than and lesser than the break even point respectively.
That is, since the break even point is x = 4.8, the interval of profit is given as x > 4.8 & the interval of loss is given as x < 4.8
Taking into account that 'x' denotes the number of masks and thus must be a whole number, we have the intervals of profit and loss as,
Loss:= [tex]x \in [0,4][/tex]
Profit:= [tex]x \in [5, \infty)[/tex]
Final answer:
(a) Linear Cost function: C(x) = 12 + 0.5x
(b) Revenue function: R(x) = 3x
(c) 5 masks must be made to break even
(d) Interval of profit: [tex]x \in [5, \infty)[/tex], Interval of loss: [tex]x \in [0,4][/tex]
2 3 12 13 52 53 what number comes next
Question
At a certain university, intramural volleyball is chosen as an activity by 50% of the student population. How likely is it that a
randomly chosen student will or will not participate in intramural volleyball?
Answer:
50%
Step-by-step explanation:
50% of the student population chooses instramural volleyball, meaning 50% doesn't. So if a random student is chosen, then it is a 50% chance that they will choose volleyball and 50% chance they won't.
The base of a triangle is 6 meters longer than the height of the triangle. If the area of the triangle is 108 square meters, what are the base and height of the triangle?
Answer:
36 meters
Step-by-step explanation:
A=1/2b×h
108sq. m=1/2.6m×h
both side canceling meter
h=2×108m/6
h=36m. answer
The height of the triangle is 12 meters, and the base of the triangle is 18 meters.
Let's denote the height of the triangle as "h" meters. According to the given information, the base of the triangle is 6 meters longer than the height, so the base can be represented as "(h + 6)" meters.
The area of a triangle is given by the formula: Area = (1/2) * base * height
We are given that the area of the triangle is 108 square meters, so we can write the equation as:
108 = (1/2) * (h + 6) * h
Now, let's solve for "h":
108 = (1/2) * (h² + 6h)
Multiply both sides by 2 to eliminate the fraction:
216 = h² + 6h
Rearrange the equation in standard quadratic form:
h² + 6h - 216 = 0
Now, let's solve this quadratic equation for "h." We can factor it or use the quadratic formula. Factoring, we get:
(h + 18)(h - 12) = 0
Setting each factor to zero:
h + 18 = 0 or h - 12 = 0
Solving for "h" in each case:
h = -18 (discard this negative value as height cannot be negative) or h = 12
Since height cannot be negative, we take the positive value of "h," which is 12 meters.
Now, we can find the base by using the given relationship: base = height + 6
base = 12 + 6 = 18 meters
So, the height of the triangle is 12 meters, and the base of the triangle is 18 meters.
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Find the value of x for which a || b.
Answer:
x = 35
Step-by-step explanation:
x and 3x+40 are same side interior angles and same side interior angles are supplementary when the lines are parallel
x + 3x+40 = 180
Combine like terms
4x+40 =180
4x = 180-40
4x = 140
Divide by 4
4x/4 = 140/4
x = 35
Answer and Step-by-step explanation:
To solve for x, we add together the angles, and equal it to 180.
This is because the angles shown are same side interior angles, and add up to 180 degrees.
x + 3x + 40 = 180
Subtract 40 and combine like terms.
4x = 140
Divide 4 from both sides of the equation.
x = [tex]35[/tex]
The value of x is 35.
#teamtrees #PAW (Plant And Water)
11. f(x) = 4x4 - x2 + 9. Find f(-4).
Answer:
f ( -4 ) = 1024 + 8 + 9
Step-by-step explanation:
f ( x ) = 4x⁴ - x² + 9
If f ( - 4 ) then we get
f ( -4 ) = 4 ( -4)⁴ - ( - 4)² + 9
Expand the exponents
f ( - 4 ) = 4 ( 256 ) + 8 + 9
multiply the numbers
f ( -4 ) = 1024 + 8 + 9
Factor this polynomial.
.-2x2 - 7x-3
Answer:
Its B
Step-by-step explanation:
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Kevin paid $2.52 for 6 juice boxes. How much should Kevin expect to pay for 18 juice boxes?
Answer:
7.56
Step-by-step explanation:
Kevin should expect to pay approximately $7.56 for 18 juice boxes based on the given information.
To find out how much Kevin should expect to pay for 18 juice boxes based on the given information, we can set up a proportion using the number of juice boxes and the cost:
In general, an expression refers to a combination of symbols, numbers, variables, and operators that represent a specific computation or value. Expressions are a fundamental concept in mathematics, programming, and logic.
Let "x" be the cost of 18 juice boxes.
We have the proportion:
6 juice boxes / $2.52 = 18 juice boxes / x
To solve for "x," we can cross-multiply:
6x = 18 x $2.52
6x = $45.36
Now, divide both sides by 6 to isolate "x":
x = $45.36 / 6
x ≈ $7.56
Therefore, According to the data provided, Kevin should budget about $7.56 for 18 juice cartons.
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SOMONE HELP WITH MATH
Answer:
x = 28
Step-by-step explanation:
HFG = EFI
6x - 4 = 164
6x = 164 + 4
6x = 168
x = 168/6
x = 28
A fast-food chain claims one medium order of its onion rings weighs 114 grams. Patrice thinks she is getting less than what the restaurant advertises. She weighs the next 16 random orders of onion rings before she eats them and finds the sample mean is 112.4 grams and the standard deviation is 7.63 grams. What conclusion can be drawn α = 0.10?
Answer:
Patrice does not have sufficient evidence to reject the fast-food chain's claim.
Step-by-step explanation:
unless she already ate some fries, not enough evidence
Can anyone explain "Predicting Results of Rigid Transformations"?
Answer: Rigid just means that the whole shape goes through the same transformation, so with rotations, reflections, and translations, the shape should not change at all, just in a different place or orientation.
In a translation, ALL of the points move the same distance in the same direction. A translation is called a rigid transformation or isometry because the image is the same size and shape as the pre-image. ... In addition, the corresponding segment sides of the pre-image and image are parallel.
A rigid transformation preserves both the side lengths and the angle measures of a polygon. Step-by-step explanation: Rigid transformations are the transformations which does not affect the size and the shape of figure . The figure doesn't shrink or get enlarger.
There are three different types of transformations: translation, reflection, and rotation.
The distance from each point in the figure to the center of rotation is preserved. A rigid transformation is a transformation that preserves congruence.
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[tex]\color{yellow}{}[/tex]
What's the answer to this? and please explain.
===========================================================
Use this formula
a & b/c = (a*c+b)/c
to convert from a mixed number to an improper fraction
So,
a & b/c = (a*c+b)/c
3 & 3/4 = (3*4+3)/4
3 & 3/4 = 15/4
---------------------------------------------------
Next, we add the fractions 15/4 and 5/6. The denominators aren't the same, so we can't add right away. We need to get the denominators to the LCD.
In this case, the LCD is 4*6 = 24
The fraction 15/4 becomes 90/24 after multiplying top and bottom by 6.The fraction 5/6 becomes 20/24 after multiplying top and bottom by 4Now we can add the fractions:
90/24+20/24 = (90+20)/24 = 110/24
---------------------------------------------------
So far, we've added the 3&3/4 portion to the 5/6 portion to get the result 110/24
The last thing to do is to add on the two 1/3 ft pieces, which means we're adding on 2/3 of a foot
2/3 = 16/24 after multiplying top and bottom by 8
Add this to the result of the last section
110/24+16/24 = (110+16)/24 = 126/24
---------------------------------------------------
From here, we convert the improper fraction 126/24 to decimal form
Using a calculator, you should find that 126/24 = 5.25
The result is larger than 5, which means she used too much ribbon. There won't be enough ribbon to do everything she wants to do.
---------------------------------------------------
The shortcut we can take is to type the following into the calculator
3+3/4+5/6+2/3
doing so should lead to 5.25
Answer:
Yes
Step-by-step explanation:
So at the begining, Cherly has 60 in (12inx5ft) of ribbon. She uses 45 in(3.75x12) to make the hair bow, leaving 15 in of ribbon. She, then, uses 10 in (5/6x12) of ribbon, leaving 5 in. After that, Cheryl uses 8 in [2(1/3x12)] to put on the picture frame, leaving two inches of ribbon.
Perimeter of a 14cm,10cm,6cm and 20cm shape?
Answer:
The perimeter is 50 cm.
Step-by-step explanation:
P= 14 + 10 + 6 + 20= 50 cm
Find each missing length to the nearest tenth.
[tex]\huge\bold{Given:}[/tex]
Length of the perpendicular = 7
Length of the base = 10
[tex]\huge\bold{To\:find:}[/tex]
The length of the missing side (hypotenuse).
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\purple{x\:=\: 12.21}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
Let the length of the missing side be [tex]x[/tex].
Using Pythagoras theorem, we have
(Hypotenuse)² = (Perpendicular)² + (Base)²
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] = (7)² + (10)²
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] = 49 + 100
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] = 149
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = [tex]\sqrt{149}[/tex]
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = 12.206
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = 12.21.
Therefore, the length of the missing side [tex]x[/tex] is [tex]12.21[/tex].
[tex]\huge\bold{To\:verify :}[/tex]
[tex]\longrightarrow{\green{}}[/tex] (12.21)² = (7)² + (10)²
[tex]\longrightarrow{\green{}}[/tex] 149 = 49 + 100
[tex]\longrightarrow{\green{}}[/tex] 149 = 149
[tex]\longrightarrow{\green{}}[/tex] L.H.S. = R. H. S.
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]
What happens if you try to use L'Hopital's Rule to find the limit?
lim x/√x^2 +6
x→[infinity]
Required:
a. You cannot apply L'Hopital's Rule because the function is not differentiable.
b. You cannot apply L'Hopital's Rule because the numerator equals zero for some value x = a.
c. You cannot apply L'Hopital's Rule because the function is not continuous.
d. You cannot apply L'Hopital's Rule because the denominator equals zero for some value x = a.
e. Repeated applications of L'Hopital Rule result in the original limit or the limit of the reciprocal of the function.
If we try to use L'Hopital's Rule to find the limit we cannot apply L’Hopital’s Rule because the denominator equals zero for some value x = a, the correct option is D.
We are given that;
Function [tex]x/√x^2 +6[/tex]
Now,
The limit of the function as x approaches infinity is an indeterminate form of type ∞/∞.
However, L’Hopital’s Rule can only be applied when the limit is in the form 0/0 or ∞/∞.
So, L’Hopital’s Rule cannot be applied in this case
Therefore, by L’Hopital’s rule answer will be You cannot apply L’Hopital’s Rule because the denominator equals zero for some value x = a.
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Express the given situation as a linear inequality. needs at least units of a nutritional supplement per day. Red pills provide units and blue pills provide. Let x be the number of red pills and y be the number of blue pills.
A. 6x+ 5y ≥ 32
B. 11(x + y) ≥ 32
C. 320X+ y) ≥ 11
D. x+y≥32
Solve for y.
r/3-2/y=s/5
Answer:
y = 2 / (r/3 - s/5)
Step-by-step explanation:
r/3 - 2/y = s/5
add 2/y to both sides
r/3 = s/5 + 2/y
Subtract s/5 from both sides
r/3 - s/5 = 2/y
multiply both sides by y
y(r/3 - s/5) = 2
Divide both sides by r/3 - s/5
y = 2 / (r/3 - s/5)
carol and jada sold raffle tickets to raise money for a new playground carol sold 2045 tickets jada sold 356 more than carol how many did jada sell
Review the graph of complex number z. On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (negative 3, 1). What is the modulus of z?
Edge
Answer:
The modulus of z is [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Complex number:
A complex number, given by:
[tex]z = x + iy[/tex]
Can be represented also as a point (x,y).
The modulus is given by:
[tex]|z| = \sqrt{x^2 + y^2}[/tex]
Point z is at (negative 3, 1). What is the modulus of z?
[tex]x = -3, y = 1[/tex]. So
[tex]|z| = \sqrt{x^2 + y^2} = \sqrt{(-3)^2+1^2} = \sqrt{10}[/tex]
The modulus of z is [tex]\sqrt{10}[/tex]
Answer:
-2
Step-by-step explanation:
if this is the right problem it is -2
Bạn phương có 1.2tỷ đồng đang cân nhắc đầu tư vào các dự án sau
Kinh doanh cà phê với chi phí đầu tư là 300tr tổng số tiền thu đc 3 năm là400tr
Đầu tư của hàng kinh phí với kinh phí ban đầu là 200tr tổng số tiền thu đc 1năm là 217 tr
Biết rằng lãi suất ngân hàng là 8% năm hãy tính NPV giá trị hiện tại ròng cuat các dự án
Bạn phương nên đầu tư cái nào
Answer:
sssssssss
Step-by-step explanation:
ssssssss
Complete the table of ordered pairs for the linear y=2x-8
Given:
Consider the below figure attached with this question.
The linear equation is:
[tex]y=2x-8[/tex]
To find:
The values to complete the table of ordered pairs for the given linear equation.
Solution:
We have,
[tex]y=2x-8[/tex]
Substituting [tex]x=0[/tex] in the given equation, we get
[tex]y=2(0)-8[/tex]
[tex]y=0-8[/tex]
[tex]y=-8[/tex]
So, the value for first blank is -8.
Substituting [tex]y=-2[/tex] in the given equation, we get
[tex]-2=2x-8[/tex]
[tex]-2+8=2x[/tex]
[tex]\dfrac{6}{2}=x[/tex]
[tex]3=x[/tex]
So, the value for second blank is 3.
Substituting [tex]x=2[/tex] in the given equation, we get
[tex]y=2(2)-8[/tex]
[tex]y=4-8[/tex]
[tex]y=-4[/tex]
So, the value for third blank is -4.
Therefore, the required complete table is:
x y
0 -8
3 -2
2 -4
The list price on slacks is $22, and the list price on jumpers is $37. If Petit’s Clothing Store orders 30 pairs of slacks and 40 jumpers at a discount rate of 11%, what is the trade discount on the purchase?
Answer: $235.4
Step-by-step explanation:
Given
Price list on slacks is $22
Price list on jumpers is $37
Store ordered 30 pairs of slacks and 40 Jumpers
Total price becomes
[tex]\Rightarrow 22\times 30+37\times 40\\\Rightarrow \$2140[/tex]
for a discount of 11%
Trade discount is [tex]2140\times 11\%[/tex]
[tex]\Rightarrow 2140\times 0.11\\\Rightarrow \$235.4[/tex]
The radius of a cylindrical water tank is 4.5 ft, and its height is 10 ft. What is the volume of the tank?
Answer:
636.3 cubic meters
Step-by-step explanation:
Volume of cylinder= pi × radius² × height
3.142 × 20.25 × 10 = 636.255 rounded to the nearest one decimal place is 636.3
Have a nice day.
1. Of the three angles in a right-angled triangle, one angle has a measure
of 60 degrees. What is the measure of the third angle, Angle X? *
al 60
Answer:
30. A right triangle has one angle that is 90°
All angles add to 180°
180 - 90 - 60 = 30
Step-by-step explanation:
Oakley babysits on weekends. He charges a flat fee of $12, plus an additional $5 for each hour that he babysits. How much money would Oakely make if he babysits for 4 hours?
Answer:
32
Since theres a flat fee he automatically starts at 12 since he gets 5 every hour for 4 hours (5×4) ending up at 20. You add the total and the flat fee 20+12= 32
Answer:
$32
Step-by-step explanation:
First you must set up the equation.
A flat fee of $12 means it will be added and $5 each hour for 4 hours so 5 will be multiplied by 4.
$12 + $5 * 4
12 + 5 * 4 (or 12 + (5 * 4), whatever makes you remember it better)
Remember PEMDAS (Parentheses, Exponents, Multiplication, Divisiom, Addition, Subtraction)
Multiplication comes before Addition so you get 12 + 20
12 + 20 = 32
Remember to put units, so you would get $32.
Daryl invested $2,200 for 3 years. He received interest of $264. What was the interest rate?
Answer:
4%
Step-by-step explanation:
264 interest/3 years=88 interest/year
principal x interest rate =interest/year
2200 x interest rate =88
interest rate =88/2200
interest rate =.04 or 4%