Answers
Answer:
1. 3 hours 2. 150 ft
Step-by-step explanation:
1. a) 50 + 60 + 60 + 60 = $230 = 3 hours
b) 80 + 50 + 50 + 50 = $230 = 3 hours
Answer: 3 hours
2. 10 * 5 * 3 = 150 ft
Answer:1 3 hours 2 150
Step-by-step explanation:
Related Questions
HELP The recursive rule for a sequence is shown An=An-1 +4 a1=14 write the explicit rule in simplified form for the sequence An=
Answers
Answer:
aₙ = 4n + 10Step-by-step explanation:
Given is the AP with
The first term of 14The common difference of 4Explicit rule for the sequence is
[tex]a_n=a_1+(n-1)d=14+(n-1)(4)=14+4n-4=4n+10[/tex]Answer:
[tex]\sf a_n=4n+10[/tex]
Step-by-step explanation:
A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence provided you know the value of the previous term in the sequence.
An explicit formula for an arithmetic sequence allows you to find the nth term of the sequence.
Given recursive rule:
[tex]\begin{cases} \sf a_n=a_{n-1}+4\\ \sf a_1=14\end{cases}[/tex]
Therefore, the next two values in the sequence are:
[tex]\begin{aligned} \implies \sf a_2 & = \sf a_{2-1}+4\\& = \sf a_1+4\\& = \sf 14+4\\& = \sf 18\end{aligned}[/tex]
[tex]\begin{aligned} \implies \sf a_3 & =\sf a_{3-1}+4\\& = \sf a_2+4\\& = \sf 18+4\\& = \sf 22\end{aligned}[/tex]
Explicit formula
[tex]\sf a_n=a+(n-1)d[/tex]
where:
[tex]\sf a_n[/tex] is the nth terma is the first termn is the number of the termd is the common difference between termsGiven:
[tex]\sf a = a_1=14[/tex][tex]\sf d = 22-18=4[/tex]Substituting the given values into the formula:
[tex]\sf \implies a_n=14+(n-1)4[/tex]
[tex]\sf \implies a_n=14+4n-4[/tex]
[tex]\sf \implies a_n=4n+10[/tex]
Therefore, the explicit rule in simplified form for the sequence is:
[tex]\sf a_n=4n+10[/tex]
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Joseph wants to line his garden with a fence that cost $2.25 per foot. The length of the garden is 6 yards and the width is 2.5 yards. what is the total cost?
Answers
Answer:
$38.25
Step-by-step explanation:
Perimeter of a rectangle = 2W + 2L
(where W is the width and L is the length)
Given:
width = 2.5 ydlength = 6 yd⇒ perimeter = (2 x 2.5) + (2 x 6)
= 5 + 12
= 17 yd
Given:
cost of fence = $2.25 per foot⇒ total cost = 17 x 2.25
= $38.25
Perimeter:-
2(L+B)2(6+2.5)2(8.5)17ydToatl cost::
17(2.25)34+4.2538.25$Define then compare and contrast diverges and converges.
Answers
Answer:
Convergence is defined as the movement of two forces together while divergence implies the movement of two forces apart. In the world of economics, finance, and trading, divergence and convergence describe the directional relationship between two trends, prices, or indicators.
probably very easy but i do need some help asap
my calculations are not giving me the answer i'm supposed to receive which is
9y^3(3-y)
Answers
Answer:
[tex]\sf 9y^3(3-y)[/tex]
Step by step explanation:
[tex]\sf 27y^3-9y^4[/tex]
Factor out common term 9 :
[tex]\sf \implies 9(3y^3-y^4)[/tex]
Apply exponent rule [tex]\sf a^{bc}=a^{b+c}=a^ba^c[/tex] :
[tex]\sf \implies 9(3y^3-y^{1+3})[/tex]
[tex]\sf \implies 9(3y^3-y^1y^3)[/tex]
Factor out common term [tex]\sf y^3[/tex]:
[tex]\sf \implies 9y^3(3-y^1)[/tex]
Apply exponent rule [tex]\sf a^1=a[/tex] :
[tex]\sf \implies 9y^3(3-y)[/tex]
If x = 2 and y = 3, then 4x
Answers
Answer: 8
Step-by-step explanation: Substituting x for 2 since we know the value, 4(2) is 8.
Answer: 8
Step-by-step explanation:4*2=8
I WILL GIVE BRAINLYEST AND 60 POINTS. Please help me ASAP.
Rectangle PQRS is plotted on a coordinate plane. The coordinates of P are (– 1, 4) and the
coordinates of Q are (– 1, – 4). Each unit on the coordinate plane represents 1 centimeter, and
the area of Rectangle PQRS is 64 square centimeters. Find the coordinates of Points R and S
given these conditions:.aPoints R and S are to the left of Points P and Q.bPoints R and S are to the right of Points P and Q
Answers
Answer:
This may or may not help be it might get you close.
Porter drove due east 20 miles on Interstate 23, then due south 23 miles on Interstate 77. To the nearest hundredth of a mile, how far was he from his starting point?
A. 30.48 mi
B. 26 mi
C. 11.36 mi
D. 43 mi
Answers
Answer: D. 30.48 miles
Step-by-step explanation:
You basically use Pythagorean Theorem!
a2 + b2 = c2
Square root 20^2 +23^2
=√20^2 + 23^2
=20 x 2 + 23 x 2
= 929
And round it=
30.48 miles.
A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is odd, what is the probability that the second digit is even? A. 1/2
B. 4/9
C. 1/8
D. 1/9
Answers
Answer:
A. 1/2.
Step-by-step explanation:
After the odd digit is taken out there are 8 digits left,
and of these 4 are even so
the answer is 4/8 = 1/2.
A rectangle made of square tiles measures 10 tiles long and 8 tiles wide.
What is the width of a similar rectangle whose length is 15 tiles?
Answers
Answer:
12 tiles
Step-by-step explanation:
Let,
The rectangle with dimensions "10 tiles and 8 tiles" be known as "s".The rectangle with dimension "15 tiles" be known as "l"Since the length of the larger rectangle is similar to the smaller rectangle, we can compare the dimensions of both rectangles by forming a ratio.
[tex]\text{(L of "s")}:\text{(B of "s")}= \text{(L of "l")}: \text{(B of "l")}[/tex]
Let,
⇒ Length of "s" be L₁⇒ Breadth of "s" be B₁⇒ Length of "l" be L₂⇒ Breadth of "l" be B₂[tex]\implies \text{L}_{1} }:\text{B}_{1} = \text{L}_{2} : \text{B}_{2}[/tex]
We are already given:
Length of "s" = L₁ = 10 tilesBreadth of "s" = B₁ = 8 tilesLength of "L" = L₂ = 15 tiles[tex]\implies 10:8 = 15 : \text{B}_{2}[/tex]
To simplify the ratio, multiply the extremes together and take them on one side. Then, multiply the middles together and take them on the other side.
[tex]\implies 10 (\text{B}_{2}) = 15(8)[/tex]
Divide 10 both sides to obtain the width of the larger rectangle.
[tex]\implies \dfrac{10 (\text{B}_{2}) }{10} = \dfrac{15(8)}{10}[/tex]
Simplify the equation as necessary.
[tex]\implies \text{B}_{2} = 12[/tex]
Thus, the width of the larger rectangle is 12 tiles.
Select all of the triangles below which are translations of triangle X.
Answers
All the triangles below which are translations of triangle X are,
⇒ A, B, D, E, F
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Since, A translation of a triangle is moving it up down or side to-side on the axis, not changing the shape flipping it or the orientation.
Hence, By all the graphs;
All the triangles below which are translations of triangle X are,
⇒ A, B, D, E, F
Thus, All the triangles below which are translations of triangle X are,
⇒ A, B, D, E, F
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Answer:
A, F
Step-by-step explanation:
The only two images that are just translations of triangle X are A and F.
Triangles A and F are obtained by moving triangle X some combination of up, down, left, and right. That is just a translation.
All other triangles shown involve something else in addition to a translation such as a reflection, rotation, or dilation.
Answer: A, F
What is the equation of the line that passes through the point (3,7) and has a slope of 2/3
Answers
Answer:
[tex]Y=\frac{2}{3} x +5[/tex]
Hope This Helped! :) Please Mark Brainliest!
The two figures are similar. Write the similarity statement. Justify your answer using factor and showing all work. Describe (in general since it isn't on a graph) the transformations from ABC to the new figure. Please don't troll this is for a unit test!!!!
First Triangle
A to B: 40
B to C: 60
C to A: 50
Second Triangle
X to Y: 31.25
Y to Z: 25
Z to X: 37.5
Answers
Answer:
B to C;60
Step-by-step explanation:
Z to X;37.5 CORRECT ME IF IM WRONG #Carryonstudents
A research study compares three treatments with n=5 in each treatment. If the Ex values for the three treatments are 5, 10, and 15, then the between treatments' degrees of freedom would be equal to_
a) 12
b) 3
c) 2
d) 14
Answers
The between treatments' degrees of freedom would be equal to 10
What is degrees of freedom?Degrees of freedom is a combination of how much data you have and how many parameters you need to estimate.
Given the data in the question;
A research study comparing three treatments with n = 5 in each treatment produce;
that is: n₁ = 5, n₂ = 5, n₃ = 5
T₁ = 5, T₂ = 10, T₃ = 15,
SS₁ = 6, SS₂ = 9, SS₃ = 9
∑x² = 94
First, we obtain the grand total;
G = T₁ + T₂ + T₃ = 5 + 10 + 15 = 30
N = n₁ + n₂ + n₃ = 5 + 5 + 5 = 15
Total SS = ∑x² - ( G²/N )
we substitute
Total SS = 94 - ( (30)²/ 15 )
Total SS = 94 - ( 900 / 15 )
Total SS = 94 - 60
Total SS = 34
To get the SSbetween or Between SS;
Between SS = ∑( T²/n ) - ( G²/N )
Between SS = ∑( (5)²/5 + (10)²/5 + (15)²/5 ) - ( (30)²/ 15 )
Between SS = ∑( 25/5 + 100/5 + 225/5 ) - ( 900 / 15 )
Between SS = ∑( 5 + 20 + 45 ) - 60
Between SS = 70 - 60
Between SS = 10
Hence the between treatments' degrees of freedom would be equal to 10.
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The universal set is U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. If A = {2, 3, 4, 5, 6} and B = {5, 6, 7, 8, 9}, find the following. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set.) (a) A ∩ B (b) A ∪ B (c) A' (d) B'
Answers
Answer:
a) {5, 6}
b) {2, 3, 4, 5, 6, 7, 8, 9}
c) {0, 1, 7, 8, 9}
d) {0, 1, 2, 3, 4}
Step-by-step explanation:
The intersection of sets is the set of elements common to both. The union of sets is the set of all elements that are part of either set. The complement of a set is the set of elements in the universal set that are not in the set of interest.
__
A∩B{2,3,4,5,6} ∩ {5,6,7,8,9} = {5, 6}
__
A ∪ B{2,3,4,5,6} ∪ {5,6,7,8,9} = {2,3,4,5,6,7,8,9}
__
A'U -A = {0,1,2,3,4,5,6,7,8,9} -{2,3,4,5,6} = {0,1,7,8,9}
__
B'U -B = {0,1,2,3,4,5,6,7,8,9} -{5,6,7,8,9} = {0,1,2,3,4}
Compound Shapes
Find the area of each figure, round your answer to one decimal place if necessary
12 ya
30
1)
3)
2)
3
12 yd
18
12 ya
3
20 yd
24
Area
Area
Area
4)
5)
6)
17 cm
4 cm
7.5 m
8 orn
12 cm
10 m
5 m
Area:
Area:
Area:
9)
7)
8)
35 m
3.5 m
20 in
TO in
18 in
21 m
21 in
18 in
20 in
3.5 m
21 m
Area:
Area:
Area:
Answers
Applying the formula for areas of rectangle, triangle, & circle, area of each figure is:
1. 27
2. 537.9
3. 384
4. 168.5
5. 96.3
6. 73.1
7. 357.1
8. 1,029
9. 744
What is the Area of a Circle?Area of a circle = πr², where r is its radius.
What is the Area of a Rectangle?Area of a rectangle = length × width
What is the Area of a Triangle?Where b is the height and b is the base length, area of triangle = 1/2bh.
What is the Area of a Square?Area = s², where s is the side length.
1. Area of the figure = area of square + area of rectangle = s² + length × width
Area of the figure = 3² + 6 × 3 = 27 ft²
2. Area of the figure = area of circle + area of rectangle = πr² + length × width
Area of the figure = π(7²) + 24 × 16 = 537.9 ft²
3. Area of the figure = area of smaller rectangle + area of bigger rectangle
Area = 12 × 12 + 20 × 12 = 384 yd²
4. Area of the figure = area of 1/2circle + area of triangle = 1/2πr² + 1/2bh
Area of the figure = 1/2π(8²) + 1/2(8)(17) = 168.5 cm²
5. Area of the figure = area of rectangle + area of triangle = (l)(b) + 1/2bh
Area of the figure = (10)(7.5) + 1/2(7.5)(5) = 96.3 m²
6. Area of the figure = area of 1/2circle + area of triangle = 1/2πr² + 1/2bh
Area of the figure = 1/2π(4²) + 1/2(8)(12) = 73.1 cm²
7. Area of the figure = area of 1/2circle + area of rectangle = 1/2πr² + 1/2bh
Area of the figure = 1/2π(10²) + (20)(10) = 357.1 in.²
8. Area of the figure = area of rectangle + area of triangle = (l)(b) + 1/2bh
Area of the figure = (35)(21) + 1/2(28)(21) = 1,029 m²
9. Area of the figure = area of square + area of rectangle = s² + length × width
Area of the figure = 18² + 21 × 20 = 744 in.²
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Ved drew the shape below by combining exactly 3 triangles of the same size and shape
Answers
The area of each triangle is (1/3) of the area of the whole shape.
What is an area?Area is the amount of space occupied by a two dimensional shape or object.
Ved drew the shape below by combining exactly 3 triangles of the same size and shape.
Hence:
Combined area = sum of each area = 3 * area of each triangle
The area of each triangle is (1/3) of the area of the whole shape.
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if right triangle RST, ST = 5, RT = 12, and RS = 13. Find tan (S).
Answers
Answer:
tan(S) = 12/5
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you the tangent ratio is ...
Tan = Opposite/Adjacent
In the given triangle, the side opposite angle S is RT, which has length 12. The side adjacent to angle S is ST, which has length 5. Then the tangent of angle S is ...
tan(S) = RT/ST
tan(S) = 12/5
_____
Additional comment
The rest of the trig functions in this triangle are ...
sin(S) = 12/13
cos(S) = 5/13
tan(R) = 5/12
sin(R) = 5/13
cos(R) = 12/13
Answer:
tan(S) = [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
Hi there!
We are given ΔRST, where ST=5, RT=12, and RS=13
We want to find the tangent of angle S (the notation tan(S) means "tangent of angle S")
In trigonometry, tangent refers to the ratio of the opposite side/adjacent side.
The opposite side is the side that is opposite to the angle that we are referencing (in this case, angle S); in this case, that side is RT, which is 12
The adjacent side is the leg that is adjacent to the opposite side; in this case, that side is ST, which we were given as 5
Therefore, tan(S) will be [tex]\frac{RT}{ST}[/tex], or [tex]\frac{12}{5}[/tex].
Hope this helps!
find in grammes 1/5 of 2 kg + 60 g
Answers
Answer:
460
Step-by-step explanation:
1/5 of 2kg is .4 kg
.4kg converted to grams is 400 grams
400g + 60g= 460
THE ANSWER IS 460
True or False: limx➡️0^+ e^-5/x =0
Answers
well, we can take a peek at this from the standpoint of moving from the right towards 0, but never getting there.
[tex]e^{-\frac{5}{x}}\implies \cfrac{1}{e^{\frac{5}{x}}}\qquad \qquad \stackrel{x = 1}{\cfrac{1}{e^{\frac{5}{1}}}}\implies \cfrac{1}{e^5}\qquad \qquad \stackrel{x=0.000001}{\cfrac{1}{e^{\frac{5}{0.000001}}}}\implies \cfrac{1}{e^{500000}}[/tex]
as "x" is moving towards 0, the denominator is becoming larger and ever larger, whilst the numerator is remaining the same, thus the fraction is become ever smaller, going towards = 0.
You want to buy a new computer that costs $2250. You check your savings-account balance and realize that to buy the computer, you will need $125 more than what you have in your savings account (s). How much money do you have in your savings account?
Answers
Answer:
$2,125
Step-by-step explanation:
Subtract: 2250-125=2125
Hope this helps! :)
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can you please help me solve this logarithm function
Answers
Answer:
I think the solution is x=84 if this is correct can u mark me brainliest
Answer:
[tex]\boxed{\sf{x=84}}[/tex]Step-by-step explanation:
This problem can be solved by using the logarithm function.
Isolate the term of x from one side of the equation.
First, you divide by -6 from both sides.
[tex]\Longrightarrow: \sf{\dfrac{-6\log _3(x-3)}{-6}=\dfrac{-24}{-6}}[/tex]
Solve.
Divide the numbers from left to right.
-24/-6=4
Rewrite the problem down.
[tex]\Longrightarrow: \sf{\log _3(x-3)=4}[/tex]
x-3=81
Add by 3 from both sides.
[tex]\Longrightarrow:\sf{x-3+3=81+3}[/tex]
Solve.
Add the numbers from left to right.
81+3=84
[tex]\Longrightarrow: \boxed{\sf{x=84}}[/tex]
Therefore, the solution is x=84, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
What is the y-intercept of the quadratic function
f(x) = (x – 6)(x – 2)?
(0,–6)
(0,12)
(–8,0)
(2,0)
Answers
Answer:
(0,12)
Step-by-step explanation:
B.(0,12)
The ratio of two numbers is 4 to 3. The sum of the numbers is 49. What are the two numbers?
Answers
Answer:
28/21
Step-by-step explanation:
28/21 is the equivalent to 4/3.
We know this is the fraction we are looking for because 28 + 21 = 49
Hope that helps!
On their vacation, the Lupines stay at a hotel that
has a rectangular swamp for a swimming pool. The
swamp has a perimeter of 124 feet. The length is
10 feet less than 5 times its width. What are the
length and width of the swamp?
Answers
Step-by-step explanation:
Given :-
Let width be x and length be 5x - 10 according to the questionTo find:-
Measurement of length and widthSolution :-
Formula for perimeter of rectangular swamp = 2(L+W)
Putting the known values ,124 ft. = 2( 5x -10 + x )
124 ft. = 2(6x - 10)
124 ft. = 12x - 20
124+20 = 12x
144/12 = x
12 = x
putting the values of x
Length = 5x-10
5×12 - 10 = 50 feetwidth = X
12 feet
perimeter =2L+2W or 2(L+W)
124= 2(5W-10+W)
perimeter =2( 6W-10)
124 = 12W-20
124+20=(12W+20-20
144=12W
144÷12=12W÷12
12=W
Please Help - Find the Volume
I know the answer is 1982.0 ft³. However, I don't know how to get to that answer. I keep getting 2112ft³.
Answers
Answer:
1982.0 ft³
Step-by-step explanation:
The composite figure can be decomposed into a cube and a square pyramid. The volume is the sum of the volumes of these.
__
pyramidThe square base of the pyramid is 12 ft on each side, so the diagonal of the base is 12√2 feet. (The diagonal of a square is √2 times the side length.) Then the distance from a corner to the center of the base is half that, or 6√2 feet.
That distance and the height of the pyramid form a right triangle whose hypotenuse is the given 10 ft measure of the length of the edge of a face of the pyramid. Then the height can be found using the Pythagorean theorem:
h² +(6√2)² = 10²
h² = 100 -72 = 28
h = 2√7 ≈ 5.291503 . . . ft
The volume of the pyramid is ...
V = 1/3Bh = 1/3s²h
V = 1/3(12 ft)²(5.2910503 ft) ≈ 253.992 ft³
__
cubeThe volume of a cube is given by ...
V = s³
V = (12 ft)³ = 1728 ft³
__
total volumeThe total volume of the figure is the sum of the pyramid volume and the cube volume:
total volume = 253.992 ft³ +1728 ft³ = 1981.992 ft³
The volume of the figure is about 1982.0 ft³.
_____
Additional comment
Your figure for the volume seems to assume the height of the pyramid is 8 feet. That length is the slant height of one face of the pyramid. It would be the hypotenuse of a right triangle whose other legs are 6 ft and the height of the pyramid. Then we would have ...
h² +6² = 8²
h² = 64 -36 = 28 . . . . as above
The pyramid height is the perpendicular distance from the plane of the base to the peak. It is measured through the middle of the volume, not along one face.
if the area of a circle is 36 x 3.14 inches squared find its diameter
Answers
Answer:
36
Step-by-step explanation:
36 x 3.14 = 113.04
Since to find a diameter from the area, you need to divide by 3.14
113.04 divided by 3.14 = 36
But since its already there you can just figure out that 36 is the diameter and you don't have to do any calculating
1)
Which of these are equations of lines that are parallel to the x-axis?
Select all that apply.
A. y=-3
3
4
B. y =5.3
5
C. X=
6
x 6
D. X=-7
k
E. y = 20
F. X = 8.2
Answers
I need this done right now please i need help
Answers
Step-by-step explanation:
AB = x + 5 ...................
A water storage tank is in the shape of a cone with the pointed end down. If the radius is 21 feet and the depth of the tank is 14 feet, find the volume of the tank in cubic feet. Use 22/7 for π.
Answers
The volume of the water storage tank is the amount of space in it
The volume of the water storage tank is 6468 cubic feet
How to determine the volume?The given parameters are:
Radius (r) = 21 feet
Height (h) = 14 feet
The shape of the water storage tank is a cone.
And the volume of a cone is:
V = 1/3πr^2h
So, we have:
V = 1/3 * 22/7 * 21^2 * 14
This gives
V = 6468
Hence, the volume of the water storage tank is 6468 cubic feet
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! PLS HELP ! In a raffle, one thousand tickets are sold. There
is a grand prize of $4000, a second prize of
$500, and a third prize of $100. What ticket
price would make this game fair?
Answers
Answer:
$4.60
Step-by-step explanation: