Answer:
10%
-------------------------------------------------
Total marbles = 5 + 8 + 12 = 25
P(red then green) = (5/25)(12/24) = 1/10
1/10 = 0.1 = 10%
how many real roots and how many complex roots are possible with a root of 9
Answer:
12
Step-by-step explanation:
because the more the root the faster the plant grows
Which of the following is NOT a solution to the system of inequalities?
a. (0, 4)
b. (2, 1)
c. (1, 5)
d. (1, 2)
Answer:
(2,1)
Step-by-step explanation:
The point (2,1) is the only point that is not included in the shaded region so I would assume that it's not a solution to the system.
Solve the system of equations and choose the correct ordered pair. 6x-6y+11=17 and 9y=3x+15
Answer:
D is the correct answer
Step-by-step explanation:
according to the graph you can see that D should be correct.
Good luck! ^_^
2. In the diagram below, angle AOB = 66°
Find angle OAB, giving reasons for your answer.
Answer:
57°
Step-by-step explanation:
Δ AOB has 2 equal sides as radius of the circle, this is isosceles triangle
So the angles ∠OAB= ∠OBA
∠AOB= 66° and sum of 3 angles = 180°
So ∠OAB= (180° - 66°)/2= 57°
Please help me match these formulas thank you :)
Answer:
Circle Circumference: 5
Triangle: 8
Circle Area: 3
Regular Polygon: 7
Parallelogram:6
Equilateral triangle: 1
Trapezoid:4
Rectangle:2
Step-by-step explanation:
I don't know how I would do a step by step explanation
The function h(x) is a translation of the exponential function g(x) = 9(1∕6)x. What's h(x) if the translation is a vertical shrink by a factor of 1∕3 and horizontal shift to the left 4 units?
Answer: h(x) = 3*(1/6)^(x + 4)
Step-by-step explanation:
if we have a function g(x), and we want to create another function h(x) such that:
h(x) is a vertical contraction/dilation of factor a.
Then h(x) = a*g(x).
h(x) is a right shift of N units (N positive):
h(x) = g(x - N)
Then:
A vertical shink of factor 1/3 means that:
h(x) = (1/3)*g(x)
And a left shift of 4 units (or a right shift of -4 units) means that
h(x) = (1/3)g(x - (-4)) = (1/3)*g(x + 4)
and we know that:
g(x) = 9*(1/6)^x
Then:
h(x) = (1/3)*9*(1/6)^(x + 4) = 3*(1/6)^(x + 4)
Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized
Answer:
Option B.
Step-by-step explanation:
The given triangle is a right angle triangle.
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan (45^{\circ})=\dfrac{v}{7}[/tex]
[tex]1=\dfrac{v}{7}[/tex]
[tex]7=v[/tex]
Using Pythagoras theorem, we get
[tex]hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]u^2=v^2+7^2[/tex]
[tex]u^2=7^2+7^2[/tex]
[tex]u^2=2(7^2)[/tex]
Taking square root on both sides, we get
[tex]u=\sqrt{2(7^2)}[/tex]
[tex]u=7\sqrt{2}[/tex]
Therefore, the correct option is B.
WXY is congruent to CBA, If
Answer:
If they are opposite.
BRAINLIEST AWARD NO.2
A sequence begins with the number 4, and subsequent numbers are determined by taking the previous number, tripling it, and adding six to the product. What is the smallest starting number ao in a sequence whose fifth term is greater than 10,000? Please explain
Answer:
A whole number first term to render as fifth term a value larger than 10000, should be at least 121
Step-by-step explanation:
The formula is given as recursive since it involves the previous number of the sequence, and defined as:
[tex]a_n=a_{n-1}*3+6[/tex]
we also know that the first term is 4
Then in this case, the first five terms are:
[tex]a_1=4\\a_2=4*3+6=18\\a_3=18*3+6=60\\a_4=60*3+6=186\\a_5=186*3+6=564\\[/tex]
So if we want to find the first term in the case that the fifth one is greater than 10,000 using this recursive formula, now we have to start backwards, and say that the fifth term is "> 10000" and what the fourth one is.
Notice that if you have this definition for the nth term, we can obtain from it, what the previous term is to find the general rule:
[tex]a_n=a_{n-1}*3+6\\a_n-6=a_{n-1}*3\\\frac{a_n-6}{3} = a_{n-1}\\a_{n-1}=\frac{a_n}{3} -2[/tex]
So the rule is to subtract 6 from he term, and divide the subtraction by 3. Then working backwards:
[tex]a_5>10000\\\frac{a_5}{3} -2>\frac{10000}{3} -2\\a_4>=\frac{10000}{3} -2\\\frac{a_4}{3} -2>\frac{\frac{10000}{3}-2}{3}-2 =\frac{10000}{9}-\frac{8}{3} \\a_3>\frac{10000}{9}-\frac{8}{3} \\\frac{a_3}{3} -2>\frac{\frac{10000}{9}-\frac{8}{3} }{3} -2=\frac{10000}{27} -\frac{8}{9} -2=\frac{10000}{27} -\frac{26}{9}\\a_2=\frac{10000}{27} -\frac{26}{9}\\\frac{a_2}{3} -2>\frac{\frac{10000}{27} -\frac{26}{9}}{3} -2=\frac{10000}{81} -\frac{80}{27} \\a_1>\frac{10000}{81} -\frac{80}{27}\approx 120.49[/tex]
therefore, the starting first term should be at least about 121 to give a fifth term larger than 10,000
1
2
3
4
5
6
7
8
9
10
Which algebraic expression represents the phrase "four times a number"?
O 4 +C.
Oc-4
4-c
40
Answer:
Step-by-step explanation:
"Four times a number" in symbols is "4n."
how do I find the radius
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the SURFACE AREAS AND VOLUMES.
Since the given section is a Sector of a Circle with length as, 8πcm .
Thus then it's folded veltically at an axis to make a cone.
since we know that, The Curved surface area of a cone is given as formula,
C.S.A = πrl
where, r = radius and l = slant height.
also 2πr = circumference of a circle,
we get as, radius = 4 cm.
Answer:
r = 4 cm
Step-by-step explanation:
AB is actually the circumference of the circle
So,
Circumference = 8π cm
Whereas,
Circumference = 2πr
8π = 2πr
Dividing both sides by 2π
=> r = 4 cm
WILL AWARD BRAINLIEST PLEASE HELP!!!
Answer:
A
Step-by-step explanation:
Jason wants to build a ramp for a wheelchair at an angle of 10° with the ground. If the ramp has a horizontal length of 20 m, what is the maximum height of the ramp?
Answer:
12 mStep-by-step explanation:
Given data
θ= 10°
Horizontal length is equivalent to the adjacent= 20 m
the height of the ramp is equivalent to the opposite=?
Applying SOH CAH TOA we have
using TOA
Tan θ= opp/adj
Tan 10= opp/20
opp= Tan(10)* 20
opp= 0.64836*20
opp= 12.96
Approximately the maximum height of the ramp is 12 m
Identify the lateral area and surface area of a right cone with radius 7 cm and slant height 15 cm a. L = 329.9 cm2 ; S = 373.9 cm2 b. L = 329.9 cm2 ; S = 483.8 cm2 c. L = 659.7 cm2 ; S = 483.8 cm2 d. L = 659.7 cm2 ; S = 813.6 cm2
Answer:
Step-by-step explanation:
a.
L
=
329.9
c
m
2
;
S
=
373.9
c
m
2
.
b.
L
=
659.7
c
m
2
;
S
=
483.8
c
m
2
.
c.
L
=
659.7
c
m
2
;
S
=
813.6
c
m
2
.
d.
L
=
329.9
c
m
2
;
S
=
483.8
c
m
2
.
Surface Area of a Cone:
In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.
The height of the cone is the length of a line segment that joins the base to the vertex of the cone.
The radius of the cone is the same as the radius of the base.
Surface area of a cone
(a) Lateral Surface Area
If
l
and
r
are the slant height and radius of a cone then its lateral surface area is given by the formula-
L
=
π
r
l
where
L
is the lateral surface area of the cone
(b) Total surface area
It is the sum of the area of the circular base and the lateral surface area of the cone.
S
=
L
+
π
r
2
S
=
π
r
l
+
π
r
2
Where
S
is the total surface area of the cone
Answer and Explanation:
Given that the radius and slant height of a right cone is
7
c
m
and
15
c
m
respectively
r
=
7
c
m
l
=
15
c
m
So the lateral surface area of the cone-
L
=
π
r
l
L
=
π
(
7
)
(
15
)
L
=
105
π
L
=
105
(
3.14159
)
L
=
329.866
L
≈
329.9
c
m
2
And the total surface area of the cone-
S
=
L
+
π
r
2
S
=
329.9
+
π
(
7
)
2
S
=
329.9
+
49
(
3.14159
)
S
=
329.9
+
153.937
S
=
483.83
c
m
2
So the lateral area and total area of a right cone are
329.9
c
m
2
and
483.8
c
m
2
respectively.
Answer:
Step-by-step explanation:
Step-by-step explanation:
a.
L
=
329.9
c
m
2
;
S
=
373.9
c
m
2
.
b.
L
=
659.7
c
m
2
;
S
=
483.8
c
m
2
.
c.
L
=
659.7
c
m
2
;
S
=
813.6
c
m
2
.
d.
L
=
329.9
c
m
2
;
S
=
483.8
c
m
2
.
Surface Area of a Cone:
In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.
The height of the cone is the length of a line segment that joins the base to the vertex of the cone.
The radius of the cone is the same as the radius of the base.
Surface area of a cone
(a) Lateral Surface Area
If
l
and
r
are the slant height and radius of a cone then its lateral surface area is given by the formula-
L
=
π
r
l
where
L
is the lateral surface area of the cone
(b) Total surface area
It is the sum of the area of the circular base and the lateral surface area of the cone.
S
=
L
+
π
r
2
S
=
π
r
l
+
π
r
2
Where
S
is the total surface area of the cone
Answer and Explanation:
Given that the radius and slant height of a right cone is
7
c
m
and
15
c
m
respectively
r
=
7
c
m
l
=
15
c
m
So the lateral surface area of the cone-
L
=
π
r
l
L
=
π
(
7
)
(
15
)
L
=
105
π
L
=
105
(
3.14159
)
L
=
329.866
L
≈
329.9
c
m
2
And the total surface area of the cone-
S
=
L
+
π
r
2
S
=
329.9
+
π
(
7
)
2
S
=
329.9
+
49
(
3.14159
)
S
=
329.9
+
153.937
S
=
483.83
c
m
2
So the lateral area and total area of a right cone are
329.9
c
m
2
and
483.8
c
m
2
respectively.
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Prove ABCD is a parallelogram by showing both pairs of opposite sides are parallel. please Show All Work! Thanks!!
Answer:
Here You Go! I'm not really sure about this one but i tried.
Step-by-step explanation:
Answer:
Step-by-step explanation:
To prove this we should first make a little representation to get an idea of how will proceed to work .
To solve it we should use vectors so the first step is to identify this vectors :
we have four points : A/B/C/DA(-2,-4)B(1,2)C(2,10)D(-1,4)VECTOR AB WITH VECTOR DC VECTOR AD WITH VECTOR BCNOW LET'S IDENTIFY THEIR COORDINATES :
VECTOR AB (1-(-2),2-(-4)) VECTOR DC (2-(-1),10-4)VECTOR AD (-1-(-2),4-(-4)) VECTOR BC (2-1,10-2)We get :
VECTOR AB (3,6) VECTOR DC (3,6)VECTOR AD (1,8) VECTOR BC (1,8)We notice that the opposite ones have the same coordinates so the edges are parallel .
If we want to check more we can calculate the lenghts :
AB=[tex]\sqrt{3^{2}+6^{2} }[/tex] DC=[tex]\sqrt{3^{2}+6^{2} }[/tex]So AB=DC
AD=[tex]\sqrt{1^{2}+8^{2} }[/tex] BC=[tex]\sqrt{1^{2}+8^{2} }[/tex]So AD=BC
SO ABCD IS A PARALLELOGRAM
help will give brainliest
Answer: A. (-3,7)
Step-by-step explanation:
No work needed, you just need to look at the coordinate plane.
Coordinate II is x as a negative and y as a positive
Answer:
D, (5,-1)
5 is in the x axis
-1 is in the y axis
This point is it the second quadent
Hope this helps ( if incorrect try a)
When converting a improper fraction into a mixed number how do you find the denominator for the mixed number?
answer: the denominator of the improper fraction is the sum of the numerator and the product of denominator and the whole number of the mixed fraction.
Answer:
It is the same denominator of the fraction.
Step-by-step explanation:
[tex]1\frac{1}{5} = \frac{x}{y}[/tex]
[tex]1\frac{1}{5} = \\1=\frac{5}{5}\\\frac{1}{5} = \frac{1}{5}\\\frac{5}{5} +\frac{1}{5} =\frac{6}{5}[/tex]
Identify the two remote interior angles that correspond to angle 4.
Answer:
1 & 2
Step-by-step explanation:
Remote interior angles are the angles inside of a triangle but not on the same straight line as the exterior angle (4)
Answer:
<1 and <2 are the remote interior angles for angle 4
Step-by-step explanation:
The remote interior angles that correspond to angle 4 are the angles that are in the triangle that are not adjacent to angle 4
<1 and <2 are the remote interior angles
Find the volume, in cubic centimeters, of the solid shown
where h = 14 cm, s = 7 cm, and d = 10 cm. (Round to two
decimal places.)
Answer:
733.04
Step-by-step explanation:
Cylinder:
V=3.14x5x5x7
=549.78
Cone:
V=3.14x5x5x7/3
=183.26
TOTAL:
549.78+183.26=733.04
due in 5 min need help please ?
Answer:
x = 1
Step-by-step explanation:
This is a 30-60-90 triangle, which means that if the long leg is the square root of 3, the hypotenuse is 1.
Answer:
X=1
Step-by-step explanation:
If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function
Answer:
Step-by-step explanation:
Multiplying a(x) and b(x) together results in a quadratic equation (a trinomial). This trinomial looks like (a·b)(x) = (2)(x - 2)(x + 2). Note that this is a "special product;" (2)(x^2 - 4); there is no middle term.
Answer:(ab)x
Step-by-step explanation:
For the fraction 3/25, (a) write a percent and (b) write a decimal.
Answer:
Step-by-step explanation:
3/25 = 12%
3/25=0.12
Answer:
12%
.12
Step-by-step explanation:
3/25 * 4/4 = 12/100
Percent means out of 100
12%
12/100
Since it is out of 100, we can move the decimal 2 places to the left
.12
Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes and Boat 1 now sails at 9 knots. At 3 pm, the wind increases for Boat 2 and it now sails 7 knots faster. How fast (in knots) is the distance between the two ships changing at 5 pm. (Note: 1 knot is a speed of 1 nautical mile per hour.)
Answer:
14.86 knots.
Step-by-step explanation:
Given that:
The boats leave the port at noon.
Speed of boat 1 = 12 knots due east
Speed of boat 2 = 8 knots due south
At 2 pm:
Distance traveled by boat 1 = 24 units due east
Distance traveled by boat 2 = 16 units due south
Now, speed of boat 1 changes to 9 knots:
At 3 pm:
Distance traveled by boat 1 = 24 + 9= 33 units due east
Distance traveled by boat 2 = 16+8 = 24 units due south
Now, speed of boat 1 changes to 8+7 = 15 knots
At 5 pm:
Distance traveled by boat 1 = 33 + 2[tex]\times[/tex] 9= 51 units due east
Distance traveled by boat 2 = 24 + 2 [tex]\times[/tex] 15 = 54 units due south
Now, the situation of distance traveled can be seen by the attached right angled [tex]\triangle AOB[/tex].
O is the port and A is the location of boat 1
B is the location of boat 2.
Using pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units[/tex]
so, the total distance between the two boats is 74.28 units.
Change in distance per hour = [tex]\dfrac{Total\ distance}{Total\ time}[/tex]
[tex]\Rightarrow \dfrac{74.28}{5} = 14.86\ knots[/tex]
AWARDING FIRST CORRECT ANSWER WITH BRANLIEST
Answer:
[tex] \boxed{\sf (8x + y)(2x + 3y)} [/tex]
Step-by-step explanation:
[tex] \sf Factor \: the \: following: \\ \sf \implies {(5x + 2y)}^{2} - {( 3x - y)}^{2} \\ \\ \sf Factor \: the \: difference \: of \: two \: squares. \\ \sf {(5x + 2y)}^{2} - (3x - y)^{2} = ((5x + 2y) + (3x - y)) \\ \sf ((5x + 2y) - (3x - y)) : \\ \sf \implies ((5x + 2y) + (3x - y))((5x + 2y) - (3x - y)) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + 3x - y = \\ \sf (5x +3x) + (2y - y) : \\ \sf \implies \boxed{ \sf( (5x +3x) + (2y - y))}((5x + 2y) - (3x - y) \\ \\ \sf 5x + 3x = 8x : \\ \sf \implies (\boxed{ \sf 8x} + (2y - y))((5x + 2y) - (3x - y)) \\ \\ \sf 2y - y = y : \\ \sf \implies (8x + \boxed{ \sf y})((5x + 2y) - (3x - y)) \\ \\ \sf - (3x-y)=y-3x: \\ \sf \implies (8x + y)(5x + 2y + \boxed{ \sf y - 3x}) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + y - 3x = \\ \sf (5x - 3x)(2y + y) : \\ \sf \implies (8x + y) + \boxed{ \sf ((5x - 3x)(2y + y))} \\ \\ \sf 5x - 3x = 2x : \\ \sf \implies (8x + y)( \boxed{ \sf 2x} + (2y + y)) \\ \\ \sf 2y + y = 3y : \\ \sf \implies (8x + y)(2x + \boxed{ \sf 3y})[/tex]
Answer:
(8x+y)(2x+3y)
Step-by-step explanation:
see attached
Need Help With this question
Answer:
Area of ΔDEF = 12 in²
Step-by-step explanation:
Since they are similar, we have to find the scale factor
Scale Factor = [tex]\frac{Side OfDilated Triangle}{Side of Original Triangle}[/tex]
Scale Factor = 4/2
Scale Factor = 2
This means The area of ΔABC is 2 times the area of ΔDEF
So,
ΔABC = 2(ΔDEF)
Where Area of ΔABC = 24 in²
24 = 2(ΔDEF)
Dividing both sides by 2
=> Area of ΔDEF = 12 in²
Find The Area Of The Shape Shown Below
Answer:
6 units^2solution,
Area of trapezoid:
[tex] \frac{a + b}{2} \times h \\ = \frac{2 + 4}{2} \times 2 \\ = \frac{6}{2} \times 2 \\ = 6 \: {units}^{2} [/tex]
Hope this helps..
Good luck on your assignment..
A factory can work its employees no more than 6 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve
the inequality to determine the range in hours if the work day is 6.5 hours. Show all of your
work and explain each of your steps. Explain your answer.
Answer:
13<x<39 (range of hours)
Step-by-step explanation:
2<x<6 (x is the range of days)
Since each workday is 6.5 hours, multiply everything by 6.5:
13<x<39 (the new x is the range of hours)
The tank on a petrol lorry is a cylinder 2m in diameter and 7cm long
a. Calculate its volume in m3.
b. Find its capacity in kilolitres
Answer: 0.22 kilolitre
Step-by-step explanation:
First, let’s find the volume of the tank. We know the volume of a cylinder is represented by the equation V=πr^2h,
Radius = 1 m
Height = 7 cm = .07 m
The tank is 0.22 cubic meters
Now that we found the volume, we will try to find how many liters are in the tank.
1 cubic meter = 1 kilolitre
So, 0.22 cu. m = 0.22 kilolitre
David and Amanda are trying to figure out how long they can live off their $12,350 savings if they spend $240 each month. They have each created an equation.
David’s Equation y = 12,350 – (240x)
Amanda’s Equation y = 12,350 + (240x)
Which person has the correct equation to model this linear relationship?
1. Amanda’s equation is correct because their spending will be multiplied by the number of months and then added to their savings.
2. Amanda’s equation is incorrect because their spending will increase the amount of their savings.
3. David’s equation is correct because their spending will be multiplied by the number of months and then subtracted from their savings.
4. David’s equation is incorrect because their spending should be a fixed amount and should not be multiplied.
Hey there! :)
Answer:
Choice 3: David's equation is correct because their spending will be multiplied by the number of months and then subtracted from their savings.
Step-by-step explanation:
In the question, $12,350 is given as the initial value and '240x' is the monthly spending in terms of x.. When writing the equation, we must subtract 240x because the money is being spent.
The correct equation for this situation would be:
y = 12,350 - (240x).
Thus, David's Equation is correct.