Answer:
1: Permutation
2: 3080
Step-by-step explanation:
As order matters, (first place as opposed to second place) this must be a permutation.
For first place, there are 56 different contestants that could win it, while once first place is selected, there are only 55 to get second. This means that
56*55=3080
Given a square with vertices (0,1), (1,0), (0,-1), and (-1,0), what is the perimeter of the square?
Answer:
square root 4
Step-by-step explanation:
I don't know how to do this practice problem :/
Could someone explain? I was told in class that the answer is yes but don't quite understand why
First of all, we know that Emily travels 3/4 of a mile in 4 minutes and 30 seconds (i.e. 9/2 of a minute). So, her current velocity is
[tex]v = \dfrac{\frac{3}{4}}{\frac{9}{2}} =\dfrac{3}{4}\cdot\dfrac{2}{9} = \dfrac{1}{6}[/tex] of a mile per minute.
At this speed, it takes
[tex]t = \dfrac{s}{v} = \dfrac{3.42}{\frac{1}{6}} = 3.42\cdot 6 = 20.52[/tex]
minutes to travel 3.42 miles.
Since she left at 8.25, she will arrive at about 8.46, so she's on time for school.
which parallel lines statement is true for the figure
Without a specific figure, it's not possible to definitively answer which parallel lines statement is true. However, parallel lines are equidistant and never meet, contrasting with mutually perpendicular lines, which intersect at right angles.
Explanation:Given the various contextual clues from the fragments presented, it seems that the question concerns the properties of parallel lines and their behavior in a geometric or physical context, possibly relating to vectors, navigation, or electrical currents. However, without a specific figure or more detailed information, it's not possible to accurately determine which statement is true regarding the parallel lines in the figure.
For parallel lines, we know that they are equidistant from each other at all points and will never meet, no matter how far they are extended. This trait could relate to the x-axis alignment if we assume the lines are coplanar. On the other hand, if lines are mutually perpendicular, they will intersect at right angles to each other and therefore are not parallel.
D) AB is parallel to CD.
To understand why this statement is true, let's analyze the properties of a trapezium and the given figure.
A trapezium is a quadrilateral with one pair of parallel sides. In this case, AB and CD are the sides of the trapezium.
Looking at the given figure, we can see that AB is the upper side and CD is the base of the trapezium. Since AB and CD are not intersecting each other and are on opposite sides of the trapezium, they must be parallel to each other.
Therefore, the correct parallel lines statement is that AB is parallel to CD.
To summarize:
- AB and CD are the sides of the trapezium.
- AB is the upper side and CD is the base.
- AB and CD are not intersecting and are on opposite sides of the trapezium.
- Therefore, AB is parallel to CD.
Find the surface area of the regular hexagonal pyramid. Round your answer to the nearest hundredth
Answer:A i guess i am soooooooooo sorry if i am wrong
Step-by-step explanation:
Answer:
(B) [tex]SA=79.18m^2[/tex]
Step-by-step explanation:
It is given from the figure, the side of the regular hexagonal pyramid is 3 m, slant height is 6.2 m and height is 5.6 m.
The formula for Surface area of the regular hexagonal pyramid is:
[tex]SA=\frac{pl}{2}+B[/tex]
where B is the area of the base, p is the perimeter and l is the slant height.
Now, the perimeter can be found as:
[tex]P=6{\times}3[/tex]
[tex]P=18 m[/tex]
And, the area of the base is:
[tex]B=\frac{3\sqrt{3}s^2}{2}[/tex]
Substituting the value of s in the above formula, we get
[tex]B=\frac{3\sqrt{3}(3)^2}{2}[/tex]
[tex]B=23.382m^2[/tex]
Now, substituting the values of B, and P in the formula of Surface area, we get
[tex]SA=\frac{18{\times}6.2}{2}+23.382[/tex]
[tex]SA=79.18m^2[/tex]
Thus, the Surface area of the regular hexagonal pyramid is [tex]79.18m^2[/tex].
Hence, option B is correct.
Find the volume of a rectangular prism with the following dimensions. Length: 4yd width: 5 ft height: 11ft volume =
Answer:
660 ft³
Step-by-step explanation:
The volume (V) of a rectangular prism is calculated using the formula
V = lbh ( l is length, b is breadth and h is height )
The dimensions must be in the same units, thus we need to change length into feet.
l = 4 × 3 = 12 ft ( 1 yard = 3 feet )
b = 5 ft and h = 11 ft
V = 12 × 5 × 11 = 660 ft³
Final answer:
Convert the length from yards to feet, then calculate the volume by multiplying length, width, and height to get 660 cubic feet.
Explanation:
To find the volume of a rectangular prism, you multiply the length, width, and height together. However, notice that in the problem the lengths are not all in the same units; the length is given in yards and the width and height in feet. First, we need to convert yards to feet so that all dimensions are in the same units, using the conversion factor that 1 yard is equal to 3 feet.
After converting, the length will be:
4 yd = 4 x 3 ft = 12 ft
Then you can calculate the volume:
Volume = length x width x height
= 12 ft x 5 ft x 11 ft
= 660 cubic feet
.
What is the percent when the balance goes from $300 to $60?
Answer:
80% decrease
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
At miles, the cost for both trucks would be $ .
The cost of the truck rentals will be the same at 200 miles
How to determine the miles when the cost will be the same
From the question, we have the following parameters that can be used in our computation:
Company 1: 39.95 + 0.45x
Company 2: 59.95 + 0.35x
When the costs are equal, we have
39.95 + 0.45x = 59.95 + 0.35x
Evaluate the like terms
So, we have
0.1x = 20
Divide both sides by 0.1
x = 200
This means that the number of miles is 200
Question
two companies rent moving trucks. pack and go charges $39.95 flat fee and $0.45 for every mile driven. U-drive charges $59.95 flat fee and $0.35 for every mile driven.
At how many miles is the cost of the truck rentals the same
How many cubes with sides length of 1/2 cm does it take to fill the prism
Answer:
40 cubes
Step-by-step explanation:
We need to determine the volume of the cuboid.
[tex]Volume=lbh[/tex]
We substitute the given dimensions l=2.5cm,w=2cm and h=1cm.
[tex]Volume=2.5\times2\times1cm^3[/tex]
[tex]Volume=5cm^3[/tex]
The volume of the cube is [tex]Volume =(\frac{1}{2})^3=\frac{1}{8} cm^3[/tex]
We need to divide the volume of the cuboid by the volume of the cube to get the number of cubes that can fill it;
[tex]\frac{5}{\frac{1}{8} }=8\times 5=40[/tex]
Eddies towing company charges $40 to hook a vehicle to the truck and $1.70 for each mile the vehicle is towed. Which equation best represents the relationship between the number of miles towed, m, and the total charges, c?
A.c=40+1.70
B.c=40+1.70m
C.c=40m+1.70
D.c=40m+1.70
Answer:
B
Step-by-step explanation:
$40 is the flat fee of hooking a vehicle. It does not depend on m, miles towed.
$1.70 depends on miles towed, m. So if m miles are towed, the towing fee would be 1.70 * m, or 1.70m.
THAT, would be added to the initial fixed me of $40.
Hence, total charges, c, would be 40 + 1.70m
Answer choice B is right.
The correct equation that represents the total charges from Eddies towing company, taking into account the fixed hooking fee and the per mile charge, is c = 40 + 1.70m. This equation combines the constant fee of $40 and the $1.70 charge per mile, where the number of miles is represented by m.
Explanation:The question is about finding the equation that represents the total charges, c, from Eddies towing company given the number of miles a vehicle is towed, m. Since the company charges a fixed fee of $40 for hooking the vehicle and an additional $1.70 for each mile the vehicle is towed, the correct equation should present these two charges. The fixed fee doesn't change with the number of miles, so it remains constant at $40. On the other hand, the per mile charge depends on how many miles are towed, hence it'll be multiplied with the number of miles, m. That results in an equation with the form of c = 40 + 1.70m. Therefore, the correct answer is option B.
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if i worked for 7h and 45 min and got paid 93 dollors what is my dollor per hour rate
8 per hour. have a nice day
What is the area of this rectangle?
10 units
20 units
24 units
48 units
The correct answer will get branliest :)
Answer:
The area is A = L * W = 24 units^2
Step-by-step explanation:
The width (measured horizontally) is (7 - 3), or 4 units. The height (measured vertically) is (8 - 2), or 6 units.
The area is A = L * W = (6 units)(4 units) = 24 units^2.
Answer:
24^2
Step-by-step explanation:
Solve the equation for x by graphing -4x+1=3x-4
A x=0.75
B x=0
C x=-0.75
D x=-1.75
The equation for x by graphing -4x+1=3x-4 is x=0.75.
What is the equation for x by graphing -4x+1=3x-4?Given:
The equation is given as -4x+1=3x-4.Find:
The value of x.Solution:
We will solve the given equation
The Given equation is -4x+1=3x-4.
Now, add 4x on both sides of the equation, and we get;
-4x+1+4x = 3x-4+4x
1 = 7x-4
Now, add 4 on both sides of the equation, and we get;
1+4 = 7x-4+4
5=7x
Now, x =5/7 = 0.714 ≅ 0.75
Hence, the equation for x by graphing -4x+1=3x-4 is x=0.75.
Therefore, Option A is the correct answer.
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What is the value of y in the following system of linear equations
2x+2=y
Answer:
y = 12
Step-by-step explanation:
Given the 2 equations
2x + 2 = y → (1)
2y = 5x - 1 → (2)
Substitute y = 2x + 2 into (2)
2(2x + 2) = 5x - 1
4x + 4 = 5x - 1 ( subtract 4x from both sides )
4 = x - 1 ( add 1 to both sides )
x = 5
Substitute x = 5 into (1) for corresponding value of y
y = (2 × 5) + 2 = 10 + 2 = 12
Answer:
y=12
Step-by-step explanation:
look this solution :
Which are right triangles that can be formed using a diagonal through the interior of the cube? Select all that apply.
A) Triangle CEG
B) Triangle AEH
C) Triangle CFG
D) Triangle BCH
E) Triangle BFG
F) Triangle DEG
Answer:
triangle AEH, triangle CFG, triangle BFG, and triangle DEG.
so b,c,e,f
this is right for e2020.
The right triangles that can be formed using a diagonal through the interior of the cube are A) Triangle CEG, B) Triangle AEH and C) Triangle CFG
Which are right triangles that can be formed using a diagonal through the interior of the cube?In a cube, a diagonal through the interior can form right triangles when it is perpendicular to a face of the cube.
Based on this, the right triangles that can be formed are:
A) Triangle CEG (since CE is perpendicular to face CDEG)
B) Triangle AEH (since AE is perpendicular to face ABCD)
C) Triangle CFG (since CF is perpendicular to face ABCD)
D) Triangle BCH (since BC is perpendicular to face CDEG)
So, the correct options are A, B, C, and D.
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Would someone please break this down in a simple way on how to solve it.
Since you're finding the sum (adding) all you have to do is combine like terms.
5x ² is by itself because there is no other term with x²
3x and 12x because they have an x
-7 and 12 because they're normal coefficients
Then you're left with 5x² + 15x + 5, answer choice A
Answer:
5x² + 3x - 7 + 12x + 12 = 5x² + 15x + 5
So here we have 3x and 12x, you can see that they have the common factor which is x, so you keep x and add 3 and 12 and we have 15x. For the numbers just calculate as usual. What you have 5x² left, there is no number to subtract or add with it so it will remain unchanged.
if 9 people share 5 pizzas equally each person receives a fraction of the whole what fraction describes what each person receives
Answer:
5 slices
Step-by-step explanation:
Jose left the White House and drove toward the recycling plant at an average speed of 40 km/h. Rob left some time later driving in the same direction at an average speed of 48 kn/h. After driving for five hours Rob caught up with Jose. How long did Jose drive before Rob caught up?
Answer:
6 hours
Step-by-step explanation:
6 Hours is Jose's drive time.
What is the average speed?The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.
Given
D=RT
D=40T
T=D/40 FOR JOSE.
D=48*5 FOR ROB.
D=240 Miles from the white house to the recycling plant.
240=40T
T=240/40
T=6 Hours is Jose's drive time.
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What is the measure of the major arc?
The answer is D) 210 because arc eog is 150 and is the minor arc. A whole circle is 360 therefore 360-150=210
The measure of the major arc is found by calculating the circumference of the entire circle 2πr and then using the proportion that the angle of the major arc represents out of 360 degrees.
Explanation:The measure of the major arc in a circle depends on the angle subtended by the arc at the center of the circle. If we define the angle Θ (theta) in degrees, that subtend the arc, the length of the major arc can be found by using the circumference of the entire circle, which is 2πr (where r is the radius), and the proportion of the circle that the major arc represents. Since the entire circle is 360 degrees, if the major arc corresponds to an angle Α, which is the complement of Θ (since Α + Θ = 360 degrees for the minor and major arcs together), the major arc length will be 2πr (Α/360). To summarize, if you're given the central angle of the minor arc or can otherwise determine the central angle for the major arc, you can use this proportion to calculate the arc length.
What is the solution to the system of equations?
(3x+2y = 39
15x-y = 13
(4,7)
(7,4)
(12,5)
(5, 12)
Answer:
Can you check your equation? None of the solutions work out.
Step-by-step explanation:
Solve the equation for x by graphing
Need Help
The answer should be (B)
Answer:
B. [tex]x\approx 1.25[/tex].
Step-by-step explanation:
We have been given an equation [tex]2^x-4=-4^x+4[/tex]. We are asked to solve our given equation by graphing.
Upon graphing our given equation, we will get our required graph as shown in the attached image.
The solution for our given equation will be point, where graph intersects x-axis.
Upon looking at our given graph, we can see that it intersects x-axis at [tex]x\approx 1.25[/tex]. Therefore, option B is the correct choice.
Determine ƒ(a + h) for ƒ(x) = 2x3.
Answer:
see explanation
Step-by-step explanation:
To evaluate f(a + h) substitute x = a + h into f(x)
f(a + h)
= 2(a + h)³
= 2( a³ + 3a²h + 3ah² + h³ ) ← distribute
= 2a³ + 6a²h + 6ah² + 2h³
A function is a relation that gives single output on single input The value of the substitute function f(a + h) for the function f(x) = 2x³ will be 2a³ + 6a²h + 6ah² + 2h³.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given function,
f(x) = 2x³
Substitute x → a + h
f(a + h ) = 2(a + h)³
It is known that (a + b)³ = a³ + b³ + 3a²b + 3ab².
Therefore,
f(a + h ) = 2[a³ + h³ + 3ah² + 3a²h]
f(a + h ) = 2a³ + 2h³ + 6ah² + 6a²h
Hence "A function is a relation that gives single output on single input The value of the substitute function f(a + h) for the function f(x) = 2x³ will be 2a³ + 6a²h + 6ah² + 2h³".
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what is
the sum of the distance,d, times 8 and 5
I think the answer is 40
I think it’s 8d+5.
All equilateral triangles are ________ triangles.
10pts this on is easy
Answer:
isosceles
Step-by-step explanation:
I need help with division
Answer:
67.2
Step-by-step explanation:
The easiest way to do this is by taking your original number 112, and multiply it by the percentage. The way to do that is
112 x .6
This gets you 67.2
In 2011, it was estimated that the number of U.S households which had dogs as pets was 4.33 x 10^7 and the average number of dogs per household was 1.6 based on the infomation, approximately how many dogs were household pets in the US in 2011 in Scientific notation
A. 2.71 x 10^7
B. 3.70 x 10^8
C. 5.33 x 10^8
D. 6.93 X 10^7
The right answer is
D. 6.93 X 10^7
The sum of the digits of a 2-digit number is 1. What is the number?
Answer:
The number is 10
I can’t do it rn so just dm me later
Combine the like terms to create an equivalent expression: r+(−5r)
Answer:
-4r
Step-by-step explanation:
Since r and -5r both have the same variable, we can combine them
r-5r = -4r
r+(−5r) = -4r
Answer:
Step-by-step explanation:
-4r
A shop sells T-shirts and shorts for the following prices: T-shirt=£3.25 Shorts=£4.99
A mother buys 3 T-shirts and a pair of shorts for her son. She pays with a £10 and a £5 note. With what coins could she be given change?
£15.00 - £14.76 = £0.24
I hope I help you..
The mother buys 3 T-shirts and a pair of shorts. The possible coins she could receive as change are £1, 50p, 20p, 2p, and 1p.
The cost of 3 T-shirts can be calculated as:
3 T-shirts= 3 x £3.25 = £9.75
The cost of a pair of shorts is £4.99
Therefore, the total cost of 3 T-shirts and a pair of shorts is £9.75 + £4.99 = £14.74
If the mother pays with a £10 note and a £5 note, she could receive coins like £1, 50p, 20p, 2p, and 1p as change.
FIRST PERSON TO HELP ME GETS BRANLIEST AND 100 POINTS PLUS 5-STAR RATING OH AND A THANKS
Answer:
D
the answer is D
Find the measure of arc BC
Answer:
Step-by-step explanation:
This problem does not specify what the radius of the circle is, and so we will have to represent that by r.
Arc length = s = rФ, where Ф is the central angle in radians.
Converting 162° into radians:
162° 1 rad
------- · ------------ = 0.9 rad
1 180°
Then the arc length BC is s = rФ, or r(0.9 rad)
If, for example, r = 10 m, then the arc length would be (10)(0.9) m = 9 m
Answer:
198
Step-by-step explanation:
360-162= 198