Answer it depends
Step-by-step explanation: how much are there a pice or how much are all 9 . 72-9= 63
But the cost of 1 bracelet is $7
Identify the surface area of the composite figure in terms of π. HELP PLEASE!!
Answer:
S = 264π m²
Step-by-step explanation:
Left cone
= π(6)(8)
= 48π m²
Central cylinder
= 2π(6)(14)
= 168π m²
Right cone
π(6)(8)
= 48π m²
Surface area = 48π + 168π + 48π = 264π m²
The surface area of the composite figure is 264π [tex]m^{2}[/tex]
How to find the surface area of a composite figure?r = 6m
h = 14m
l = 8m
The curved surface area of the cylinder = 2πrh
= 2*[tex]\pi[/tex]*6*14
=168π [tex]m^{2}[/tex]
The curved surface area of the cone = πrl
=π*6*8
=48π [tex]m^{2}[/tex]
The total surface area of the composite figure
= CSA of cylinder + 2( CSA of cone )
= 168π + 2*48π
=168π + 96π
= 264π [tex]m^{2}[/tex]
Therefore, option S = 264π [tex]m^{2}[/tex] is the correct answer
To learn more about composite figure, refer:
https://brainly.com/question/21135654
#SPJ2
The figure below is rotated 270° clockwise about the origin .List the coordinates of the image.
A ( , )
B( , )
C( , )
D( , )
Answer:
A (-4, -4), B (-2, 6), C (-1, 1), D(-3, -5)
Step-by-step explanation:
Before the rotation:
A (-4, 4), B (6, 2), C (1, 1), D(-5, 3)
270° rotation clockwise is the same as 90° counterclockwise. To do that transformation:
(x, y) → (-y, x)
Therefore, the coordinates of the rotated figure are:
A (-4, -4), B (-2, 6), C (-1, 1), D(-3, -5)
The coordinates of the image are:
A'(-4,-4)B'(-2,6)C'(-1,1)D(-3,-5)---------------------------
This question is solved applying a 270° clockwise about the origin, which has the following rule:
[tex](x,y) = (-y,x)[/tex]
---------------------------
Coordinate A:
At the Figure, coordinate A is A(-4,4). Applying the rule:
[tex](-4,4) = (-4, -4)[/tex]
So the image of A is A'(-4,-4).
---------------------------
Coordinate B:
At the Figure, coordinate B is B(6,2). Applying the rule:
[tex](6,2) = (-2, 6)[/tex]
So the image of B is B'(-2,6).
---------------------------
Coordinate C:
At the Figure, coordinate C is C(1,1). Applying the rule:
[tex](1,1) = (-1, 1)[/tex]
So the image of C is C'(-1,1).
---------------------------
Coordinate D:
At the Figure, coordinate C is D(-5,3). Applying the rule:
[tex](-5,3) = (-3,-5)[/tex]
So the image of D is D'(-3,-5).
A similar question is given at https://brainly.com/question/3382538
The value of ∛x^10, when x = -2, can be written in simplest form as a∛b, where a = ___ and b = ___.
Answer:
a = -8
b = -2
Step-by-step explanation:
We have been given the following radical expression;
[tex]\sqrt[3]{x^{10} }[/tex]
The radical can be expressed using the law of exponents;
[tex]\sqrt[n]{x}=x^{\frac{1}{n} }[/tex]
The radical can thus be re-written as;
[tex]\sqrt[3]{x^{10} }=(x^{10})^{\frac{1}{3} }[/tex]
Using the law of exponents;
[tex](a^{b})^{c}=a^{bc}[/tex]
The last expression becomes;
[tex](x^{10})^{\frac{1}{3} }=x^{\frac{10}{3} }=x^{3}*x^{\frac{1}{3} }\\\\=x^{3}\sqrt[3]{x}[/tex]
substituting x with -2 yields;
[tex]-2^{3}\sqrt[3]{-2}=-8\sqrt[3]{-2}[/tex]
A cooler at a picnic contains 100 cans of soda covered by ice. There are 34 cans of cola, 50 cans of orange soda, 12 cans of ginger ale, and 4 cans of root beer. The cans are all the same size and shape. If one can is selected at random from the cooler, determine the probability that the soda selected is root beer, cola comma or ginger ale.
The probability that the can selected is a root beer, cola comma or ginger ale is nothing .
(Type an integer or a simplified fraction.)
Answer:
P = 1/2 = 0.5
Step-by-step explanation:
Total amount of cans = 100
Cans of cola = 34
Cans of orange soda = 50
Cans of ginger ale = 12
Cans of root beer = 4
Probability of selecting
- a can of cola = 34/100 = 0.34
- a can of orange soda = 50/100 = 0.5
- a can of ginger ale = 12/100 = 0.12
- a can of root beer = 4/100 = 0.04
Since we are asked the probability that the can selected is a root beer, cola, or ginger ale, we need to add together the probabilities of each.
P = 0.04 + 0.34 + 0.12 = 0.5 = 1/2
the equation of a line is given below.
4x + 3y = -24
find the x-intercept and the y-intercept.
then use them to graph the line.
x-intercept: ?
y-intercept: ?
Answer:
See below.
Step-by-step explanation:
4x + 3y = -24
We convert to slope/intercept form ( y = mx + b):
3y = - 4x - 24
Divide through by 3:
y = (-4/3)x - 8
Comparing this with y = mx + b:
we see that b ( the y-intercept) is -8.
To find the x -intercept solve (-4/3)x - 8 = 0
(-4/3)x = 8
Multiplying through by -3/4:
x = 8 * -3/4 = -6 = x-intercept.
To draw the graph draw a line through the points (-6,0) and (0, -8).
Answer:
-3/4 y-6
Step-by-step explanation:
The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
f(x) = 0.15x2 − 6x + 400
The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
50 75
60 60
70 55
80 60
90 75
Based on the given information, the minimum production cost for company _____ is greater.
[Put 1 or 2 in the blank space]
Answer:
The answer is confirmed 1. Just took it.
Step-by-step explanation:
Answer:
Company 1 is greater.
Step-by-step explanation:
Given,
The function that shows the production cost of company 1,
[tex]f(x)=0.15x^2-6x+400[/tex]
Differentiating with respect to x,
We get,
[tex]f'(x)=0.30x-6[/tex]
Again differentiating,
[tex]f''(x)=0.30[/tex]
For minimum or maximum,
f'(x) = 0,
[tex]\implies 0.3x-6=0[/tex]
[tex]\implies x = 20[/tex]
Since, at x = 20, f''(x) = Positive,
So, f(x) is minimum at x = 20,
⇒ Minimum cost in company 1 is,
[tex]f(20)=0.15(20)^2-6(20)+400[/tex]
[tex]=340[/tex]
Also, by the given table,
The minimum cost of company 2 is at x = 70,
g(70) = 55,
Since, 340 > 55,
Hence, Based on the given information, the minimum production cost for company 1 is greater.
If g=27 and F=54° find h. Round to the nearest tenth
(picture provided)
For this case we have to:
[tex]cos (F) = \frac {h} {27}[/tex]
That is, the cosine of the angle F, will be equal to the adjacent leg on the hypotenuse.
So, by clearing h we have:
[tex]h = 27 * cos (54)\\h = 27 * 0.58778525\\h = 15.87020175[/tex]
Rounding out the value of h we have:
[tex]h = 15.9[/tex]
Answer:
Option B
Answer:
The correct answer is option b. 15.9
Step-by-step explanation:
Points to remember:-
Trigonometric ratio
Cos θ = adjacent side/Hypotenuse
From the figure we can see a right triangle triangle FGH.
To find the value of h
It is given that, g=27 and F=54°
Cos F = adjacent side/Hypotenuse
Cos 54 = adjacent side/Hypotenuse
= FG/FH = h/g
h = g * Cos F = 27 * Cos 54 = 27 * 0.5878 = 15.87 ≈ 15.9
Therefore the correct answer is option b. 15.9
Rearrange the formula a2 + b2 = c2 for a. A) a = (c2 − b2)2 B) a = (c2 + b2)2 C) a = c2 − b2 D) a = c2 + b2
Answer:
C2 + a2 +2 = b
Would be the new formula
Answer:
the correct answer is:
a = √ c^2 − b^2
Step-by-step explanation:
a^2 + b^2 = c^2
Explanation:
a^2 + b^2 = c^2
a^2 = c^2 − b^2
a = √ c^2 − b^2
Which relationships hold true for the sum of the magnitudes of vectors u and v, which are perpendicular? Select all correct answers.
[tex]||u+v||=||u||+||v||\\||u+v||=\sqrt{||u||^2+||v||^2}\\||u+v||\ \textless \ \sqrt{||u||^2+||v||^2}\\||u+v||\ \textless \ ||u||+||v||[/tex]
Answer:
the correct answers are marked in green below
Step-by-step explanation:
As with any right triangle, the length of the hypotenuse is equal to the root of the sum of the squares of the legs. That root is less than the sum of the leg lengths and greater than the longest leg (for non-zero leg lengths).
_____
Comment on the choices
The relationship is actually ...
║u+v║ ≤ ║u║ + ║v║
That makes the first selection possibly correct. It will only be correct if ║u║ or ║v║ is zero. The problem statement does not rule out that case.
Answer:
As with any right triangle, the length of the hypotenuse is equal to the root of the sum of the squares of the legs. That root is less than the sum of the leg lengths and greater than the longest leg (for non-zero leg lengths).
_____
Comment on the choices
The relationship is actually ...
║u+v║ ≤ ║u║ + ║v║
That makes the first selection possibly correct. It will only be correct if ║u║ or ║v║ is zero. The problem statement does not rule out that case.
Step-by-step explanation:
What are the period and amplitude of the function?
ANSWER
Period: 2π , amplitude: 4
EXPLANATION
The graphed function is
[tex]y = 4\cos(x) [/tex]
The amplitude of this function is
[tex] |4| = 4[/tex]
The period is 2π because there is no phase shift hence the period is still equal to the parent function.
Period: 2π , amplitude: 4
Answer:
The correct option is 3.
Step-by-step explanation:
The general form of a cosine function is
[tex]f(x)=A\cos (Bx+C)+D[/tex]
where, A is amplitude, 2π/B is period, C is phase sift and D is midline.
[tex]A=midline=\frac{Maximum-Minimum}{2}[/tex]
[tex]A=midline=\frac{4-(-4)}{2}[/tex]
[tex]A=midline=4[/tex]
The amplitude of the function is 4.
The given graph complete a cycle in the interval [0,2π], therefore the period of the graph is 2π.
Therefore the correct option is 3.
The depth of a lake is 100 centimeters less than 1401 meters what is the depth in kilometers
The depth of the lake is 1.4 kilometers after converting the result to kilometers.
To find the depth of the lake in kilometers when it is 100 centimeters less than 1401 meters, first convert the depth difference to meters.
Since 100 centimeters is equivalent to 1 meter, the actual depth of the lake in meters is 1400 meters (which is 1401 meters - 1 meter).
To convert this depth into kilometers, we divide by 1000, since there are 1000 meters in one kilometer.
Hence, the depth is 1.4 kilometers.
If the walls are 9' high, how much paint would I need to buy to paint the walls of all three bedrooms?
Answer:
The required paint for a total of [tex]1.404\ ft^{2}[/tex] is approximate 6 gallons
Step-by-step explanation:
we know that
To find how much paint would I need to buy to paint the walls of all three bedrooms, calculate the area of all three bedrooms
Master Bedroom
The area is equal to
[tex]A1=(16+16+12+2+18)*9=576\ ft^{2}[/tex]
2 Bedroom
The area is equal to
[tex]A2=(12+14+10+10)*9=414\ ft^{2}[/tex]
3 Bedroom
The area is equal to
[tex]A3=(10+10+14+10+2)*9=414\ ft^{2}[/tex]
The total area is equal to
A=A1+A2+A3
[tex]A=576+414+414=1.404\ ft^{2}[/tex]
Approximate one gallon of paint covers 250 square feet
so
[tex]1.404/250=5.6\ gal[/tex]
Find the maximum and minimum values of the function.
y=7cosx
Answer:
B
Step-by-step explanation:
If a sinusoidal function is given in the form y = B Sin x or y = B Cos x, then,
B is called the amplitude of the function. It will define minimum and maximum.
The minimum & maximum of this form of a cos function is B and -B.
The function given is y = 7 Cos x, so the Maximum is 7 and Minimum is -7
Correct answer is B.
Solve for x.
A. 6
B. 7
C. 4
D. 5
Answer:
D
Step-by-step explanation:
[tex]\frac{5x}{20} =\frac{45}{36}[/tex]
Cross multiply:
(5x)(36)=(20)(45)
180x = 900
divide by 180.
x=5
The value of x is 5.
How to find the value of x?Δ ACE ≅ Δ BCD (by AAA property)
Therefore
[tex]\frac{CD}{CE} = \frac{CB}{CA}[/tex] ( Similar triangle property)
[tex]\frac{20}{36} = \frac{5x}{45}[/tex]
5x = [tex]\frac{20 * 45}{36}[/tex]
5x = 25
x = 5
Therefore, option D. 5 is the correct answer
To learn more about similar triangles, refer:
https://brainly.com/question/14285697
#SPJ2
Given: circle k(O), m RK =70° Find: m∠ERK
Check the picture below.
Answer:
Step-by-step explanation:
55
2) If events A and B are DEPENDENT, then A) A and B must occur together. B) A and B cannot occur together. C) A's occurrence can affect the probability of B's occurrence. D) A's occurrence cannot affect the probability of B's occurrence.
Answer:
by 5
Step-by-step explanation: because tgey wou;d nred help
Answer:
C.) If events A and B are DEPENDENT, then A's occurrence can affect the probability of B's occurrence. For example, when two cards are chosen from a deck without replacement, the possibilities change for the second card.
If a jelly bean machine contains 16 pink jelly beans, 34 blue jelly beans, 24 black jelly beans and 26 purple jelly beans, what is the probability that a jelly bean chosen at random will be blue?
A. 13/50
B. 6/25
C. 4/25
D. 17/50
Answer:
The correct answer option is D. 17/50.
Step-by-step explanation:
We are given that a jelly bean machine has 16 pink jelly beans, 34 blue jelly beans, 24 black jelly beans and 26 purple jelly beans.
We are to find the probability of getting a blue jelly bean chosen at random.
Total number of jelly beans = 16 + 34 + 24 + 26 = 100
Number of blue jelly beans = 34
P (getting a blue jelly bean) = 34/100 = 17/50
The longest side in a right triangle is 24 cm, and the second longest side is 20 cm. Find the length of the shortest side
Answer:
13.3 cm
Step-by-step explanation:
Apply the Pythagorean Theorem:
hyp² = (2nd longest side)² + (shortest side)². Here the numbers are:
(24 cm)² = (20 cm)² + (shortest side)², or
576 - 400 = 176 = hyp²
Taking the square root of both sides, we get (shortest side) = 13.3 cm
Answer: the answer is 13.3
Which of the following steps were applied to ABCD to obtain A'B'C'D?
A. shifted 3 units left and 3 units up
B. shifted 4 units left and 4 units up
C. shifted 4 units left and 3 units up
D. shifted 3 units left and 4 units up
C. shifted 4 units left and 3 units up
If you compare the graphs (ABCD=Blue; A’B’C’D’=Red), you see that ABCD was moved left 4 and up 3 to become A’B’C’D’.
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position. The correct option is A.
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
To know the steps that were applied to ABCD to obtain A'B'C'D, we need to observe the coordinates of any one point of the polygon given.
Now, if we look at the coordinates of the points D and D', then it can be observed that point D is shifted 3 units left and 3 units up to form A'B'C'D.
Learn more about Coordinates:
https://brainly.com/question/23450276
#SPJ2
Which of the following is true?
A. Sine is negative in Quadrant I.
B. Tangent is positive in Quadrant III.
C. Cosine is positive in Quadrant III.
D. Sine is negative in Quadrant II.
Please help!
Answer:
Tangent is positive in Quadrant III.
Step-by-step explanation:
All trigonometric functions are positive in QUADRANT I
The Sine function is positive in QUADRANT II
The Tangent function is positive in QUADRANT III
The Cosine function is positive IN QUADRANT IV
*ASTC JUST REMEMBER THAT :)*
There are four quadrants in a plane, and the true statement is (b) Tangent is positive in Quadrant III.
How to determine the true statement?There are four quadrants in a coordinate plane, and they have the following properties
Quadrant I
All positiveQuadrant II
Sine positiveOther negativeQuadrant III
Tangent positiveOther negativeQuadrant IV
Cosine positiveOther negativeThe above means that the true statement is (b) Tangent is positive in Quadrant III.
Read more about quadrants at:
https://brainly.com/question/24287773
#SPJ2
Evaluate.
9!/7!
A.) 63
B.) 72
C.) 81
ANSWER
B.) 72
EXPLANATION
Recall the expansion for the factorial notation:
[tex]n! = n \times (n - 1) \times (n - 2) \times ...3 \times 2 \times 1[/tex]
We want to simplify
[tex] \frac{9!}{7!} [/tex]
Let us expand the numerator up to 7! while maintaining the denominator.
[tex] \implies \: \frac{9 \times 8 \times 7!}{7!} [/tex]
When we cancel out the common factors,we obtain:
[tex]\implies \: \frac{9 \times 8 \times 1}{1} [/tex]
This simplifies to
[tex]\implies \: \frac{72}{1} = 72[/tex]
The correct answer is B.
A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 contains 1 red and 4 yellow marbles. 66) referring to urns we enter the room and select an urn, but we are not sure which, and then we randomly remove a marble from the urn. find the probability that the marble is red.
Answer:
[tex]\dfrac{11}{30}[/tex]
Step-by-step explanation:
Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.
The probability to select red marble is [tex]\dfrac{3}{5}=0.6.[/tex]
Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.
The probability to select red marble is [tex]\dfrac{3}{10}=0.3.[/tex]
Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.
The probability to select red marble is [tex]\dfrac{1}{5}=0.2.[/tex]
The probability to choose each urn is the same and is equal to [tex]\frac{1}{3}.[/tex]
Thus, the probability that the marble is red is
[tex]\dfrac{1}{3}\cdot 0.6+\dfrac{1}{3}\cdot 0.3+\dfrac{1}{3}\cdot 0.2=\dfrac{1.1}{3}=\dfrac{11}{30}.[/tex]
IXL question
I don't understand this one and I need more than 0 points :/
[tex]\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\[2em] \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ \cline{2-4}&\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf \cfrac{\textit{small cylinder}}{\textit{large cylinder}}\qquad \stackrel{\stackrel{\textit{ratio of the }}{\textit{sides}}}{\cfrac{3}{6}}= \stackrel{\stackrel{\textit{ratio of the }}{\textit{volumes}}}{\cfrac{\sqrt[3]{V}}{\sqrt[3]{V}}}\implies \cfrac{3}{6}=\sqrt[3]{\cfrac{1000}{V}}\implies \left( \cfrac{3}{6} \right)^3=\cfrac{1000}{V} \\\\\\ \left( \cfrac{1}{2} \right)^3=\cfrac{1000}{V}\implies \cfrac{1^3}{2^3}=\cfrac{1000}{V}\implies \cfrac{1}{8}=\cfrac{1000}{V}\implies V=8000[/tex]
Find an equation in standard form for the ellipse with the vertical major axis of length 18 and minor axis of length 6.
a)x squared divided by 81 plus y squared divided by 9 = 1
b)x squared divided by 9 plus y squared divided by 3 = 1
c)x squared divided by 9 plus y squared divided by 81 = 1
d)x squared divided by 3 plus y squared divided by 9 = 1
C seem reasonable to me
Help please! (See image.)
FED is 5/4 times bigger than CBA. So, 44×1.25 is 55. 40×1.25 is 50. The perimeter is 125
-2 is a solution of 5x + 3 = 13
True OR False
False.
Replace x with -2 and simplify. 5(-2) + 3 = 13
Multiply. -10 + 3 = 13
Add. -7 = 13
This is not true, so -2 is not a solution, therefore the answer to the question is false.
Kesha rode her bike 12 miles from home to the store. She rode her bike back towards home from the store for 8 miles then walked another 4 miles. How many more miles does Kesha needs to go before she is home?
Answer:
0 Kesha is already home 8+4 is 12 and it's 12 miles from the store to her house .-.
Step-by-step explanation:
Answer:
0 more miles.
Step-by-step explanation:
If 12 miles is the total distance from her house to the store the answer should be 0. She should be at home because 8 miles on the bike + the 4 walked = 12 miles, which is how many she rode to the store in the first place.
In the system shown below, what are the coordinates of the solution that lies in quadrant IV?
Write your answer in the form (a,b) without using spaces
[tex]2x^2+y^2=33\\x^2+y^2+2y=19[/tex]
Answer:
The coordinates of the solution that lies in quadrant IV are (2, -5)
Step-by-step explanation:
We have 2 equations, the first of an ellipse and the second of a circumference.
[tex]2x^2+y^2=33\\x^2+y^2+2y=19[/tex]
To solve the system solve the second equation for x and then substitute in the first equation
[tex]x^2+y^2+2y=19\\\\x^2 = 19 -y^2 -2y[/tex]
So Substituting in the first equation we have
[tex]x^2 = 19 -y^2 -2y\\\\2(19 -y^2 -2y)+y^2=33\\\\38 -2y^2-4y +y^2 = 33\\\\-y^2-4y+5=0\\\\y^2 +4y-5 = 0[/tex]
Now we must factor the quadratic expression.
We look for two numbers that multiply as a result -5 and add them as result 4.
These numbers are -1 and 5.
Then the factors are
[tex]y^2 +4y-5 = 0\\\\(y-1)(y+5) = 0[/tex]
Therefore the system solutions are:
[tex]y = 1[/tex]; [tex]y = -5[/tex]
In the 4th quadrant the values of x are positive and the values of y are negative.
So we take the negative value of y and substitute it into the system equation to find x
[tex]y=-5\\\\2x^2+(-5)^2=33\\\\2x^2 = 33-25\\\\2x^2 = 8\\\\x^2 = 4[/tex]
[tex]x = 2[/tex], and [tex]x= -2[/tex]
In the 4th quadrant the values of x are positive
So we take the positive value of x
the coordinates of the solution that lies in quadrant IV are (2, -5)
Identify the volume of a cube with edge length 13 ft. HELP PLEASE!!
Answer:
V=2197
Step-by-step explanation:
Equation for volume of a cube:
V= side length cubed
V=(13)(13)(13)
V=2197
Answer:
V = 2,197 ft3
Step-by-step explanation:
Your welcome ;)
The equation that models the current water temperature t of the swimming pool is t -6=78 which best describes the error made when solving for the current temperature
Answer:
The same number was not added to both sides.
Step-by-step explanation:
The same number was not added to both sides.
In line 2, 6 was added to the left side and 78 was added to the right side.
The best that describes the error made when solving for the current temperature is that the same number was not added to both sides of the equation.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation can be solved as shown below.
t - 6 = 78
t - 6 + 6 = 78 + 6
t = 84
Now, if we compare it with the given equation, we can find that the error made when solving for the current temperature is that the same number was not added to both sides of the equation.
Hence, the best that describes the error made when solving for the current temperature is that the same number was not added to both sides of the equation.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ6