Answer:
[tex]a_1=1\\a_n=a_{n-1}-5[/tex]
Step-by-step explanation:
a₁ = 1 - 5(1 - 1) = 1 - 5·0 = 1
a₂ = 1 - 5(2 - 1) = 1 - 5·1 = 1 - 5 = a₁ - 5
a₃ = 1 - 5(3 - 1) = 1 - 5·2 = 1 - 5 - 5 = a₂ - 5
a₄ = 1 - 5(4 - 1) = 1 - 5·3 = 1 - 5 - 5 - 5 = a₃ - 5
and so on, therefore:
aₙ = aₙ₋₁ - 5A dartboard has a diameter of 30 inches. What are its radius and circumference?
Answer:
radius = 15 in.
circumference = 94.2 in.
Step-by-step explanation:
radius = diameter/2 = 30 in./2 = 15 in.
circumference = (pi)d = 3.14 * 30 in. = 94.2 in.
A 1200 kg car and a 2400 kg car are lifted to the same height at a constant speed in a auto service station. Lifting the more massive car requires ____ work.
to be honest with you, I dont know
The work required to lift the massive car of 2400 kg is more than lifting the car with 120 kg
What is Work?Work is defined as the energy that is applied to or removed from an object by applying force along a displacement. For a constant force acting in the same direction as the motion, the work is defined as the product of the force's magnitude and the distance traveled. The dimensions of work is
ML²T⁻² and the SI unit of work is Joule
Work = Force x Distance
The SI unit for work is the joule (J), or newton meter ( Nm ). One joule equals the amount of work that is done when 1 N of force moves an object over a distance of 1 m
Given data ,
Let the work required to move the 2400kg car be W₁
Let the work required to move the 1200kg car be W₂
Now , the force in moving the 2400 kg car = F₁
The value of F₁ = 2400 ( a )
And , the force in moving the 1200 kg car = F₂
The value of F₂ = 1200 ( a )
where a is the acceleration
Let the distance moved be height H
Now , the work W₁ = Force x Distance
Substituting the values in the equation , we get
W₁ = 2400 ( a ) H
And , W₂ = 1200 ( a ) H
Now , W₁ > W₂
Hence , the work required to move 2400 kg car is greater
To learn more about work click :
https://brainly.com/question/9678365
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What is the slope of a line that is perpendicular to the
line shown on the graph?
Answer:
-4
Step-by-step explanation:
you flip the ratio from the original line
Parallel lines never intersect, therefore, there is one solution
Answer:
Step-by-step explanation:
If parallel lines don't intersect, then there can't be any solutions. An intersection represents a solution.
If this is a true false question, the statement is false.
HELP! WILL GIVE BRAINLIEST AND 100 POINTS
Cade and Tyce both tried to find the missing side of the right triangle.
A right triangle is shown. The legs are labeled 6 and 9. A right angle is labeled in between them.
Cade's Work Tyce's Work
a2 + b2 = c2 a2 + b2 = c2
62 + b2 = 92 62 + 92 = c2
36 + b2 = 81 36 + 81 = c2
b2 = 45 117 = c2
Square root b squared equals square root 45. Square root 117 equals c squared.
b ≈ 6.71 10.82 ≈ c
Is either of them correct? Explain your reasoning.
Answer: a2 + b2 = c2 a2 + b2 = c2 is correct
Step-by-step explanation:
reason being:
if a2 and b2 are in the equation that would make c2 a2 rational and when the number is rational thats automatically easy to know the area and square root and thats the key! the questions states the spuare root and area which makes it all easy to know that the correct one is a2 + b2 = c2 a2 + b2 = c2.
(Hopes this helps)
Step-by-step explanation:
Answer:
Tyce is correct because you are finding the hyphenous and not the missing side.
Step-by-step explanation:
I also did the work to double check and I got the same answer as Tyce.
I WILL GIVE BRAINLIEST.
can someone pleasee help, il choose brainliest if best
Answer:true false true true
Step-by-step explanation:
Answer:
true
false
true
true
In the triangle below, which equation can be used to solve for x?
Answer:
file?
Step-by-step explanation:
can someone help with the two triangle questions (will mark brainliest!!)
Answer: Number 1 is c=89 ft
Number 2 is b=3 cm
Step-by-step explanation: a²+b²=c²
For number 1, 39 ft is a and 80 ft is b so
39²+80²=c² so 39² is 39x39=1521 and 80² is 80x80=6400 so 6400+1521=7921
7921=c² and the square root of 7921 is 89 so c=89 ft
For number 2, a=1.6 cm and c=3.4 cm so 3.4²-1.6²=b²
3.4² so 3.4x3.4 which is 11.56
1.6² so 1.6x1.6 which is 2.56
11.56-2.56=c² and 11.56-2.56=9
Square root of 9 is 3 so b=3
So number 2 answer is b=3 cm
I hope this helps
please answer if you know the answer
Answer:
2:5, 5:2
Step-by-step explanation:
Lets use 30 and 12. 12 divided by 30 is 0.4, which reduced is 2:5, or u can write 0.4. Thats oil to flour
But opposite numbers for flour to oil, bc of common sense.
Hope this helps(would be appreciated if you mark this answer brainliest bc need for lvl up. )
i need help with this. find m1 and m2. justify your answer
Answer:
m<2= 101; m<1=79
Step-by-step explanation:
angle 1 is corresponding to the 79 degree angle
angle 2 is supplementary from 79 degrees
Solve for [tex]x:logx 37 = 2[/tex]
x^2=37 ===》 x = + radical 37( acceptable )
===》 x = - radical 37(unacceptable)
how many months are in 59 days???
1 month 29 days but if the month have 29 days each then the it will be 2 months
please answer this question i will give you brainliest!!!!
Answer:
your answer will be 25 .....ok
Answer:
x = 25
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 3 when x = 15
3 = 15k ( divide both sides by 15 )
[tex]\frac{3}{15}[/tex] = k, that is k = [tex]\frac{1}{5}[/tex]
y = [tex]\frac{1}{5}[/tex] x ← equation of variation
When y = 5 , then
5 = [tex]\frac{1}{5}[/tex]x ( multiply both sides by 5 to clear the fraction )
25 = x
Solve the system using elimination.
y=-x-3
y=x2-15
Answer:
X=4, y=-7
Step-by-step explanation:
To use elimination method, you want to cancel x or y when adding the equations together. So let’s multiply the first equation by -2
2(y)=2(-x-3)
2y=-2x-6
——————
add above equation 2y=-2x-6
to second equation Y=2x-15
add together. 3y=-21
Y=-7
—————————————-
solve for x by substituting y value (7) into either equation
y=-x-3
-7=-x-3
-4=-x
4=x
Find S7of the sum of the geometric series.a1=−4374,a7=−6,r=1/3
Group of answer choices
A. −6568
B. −6583
C. −6563
D. −6534
Answer:
The sum of the first 7 terms in the geometric sequence is -6558
Step-by-step explanation:
s7 refers to the sum of the first 7 terms of the geometric sequence
To calculate the sum of terms, we use the sum of terms formula
We have this generally given as;
Sn = a(1-r^n)/(1-r)
a refers to the first term, given as a1 which is -4374
r is the common ratio which is 1/3
n is the number of terms, which is 7
substituting these values;
s7 = -4374(1-(1/3)^7)/(1-1/3)
s7 = -4374(1-(1/3)^7)/2/3
s7 = (3 * -4374)/2 * (1- (1/3)^7
s7 = -6561 * (1-1/2187)
s7 = -6561 * (2187-1)/2187
= -6561 * 2186/2187
= -6558
HELP!! I have been stuck on these questions forever! Im having to multiply or devide in scientific notation. Im having to find the sum or difference. I will mark brainiest.
make triangles and find the central angle
Answer:
Step-by-step explanation:
It 14
Answer:
this is like related to fractions right?
Step-by-step explanation:
A train travels 60 miles in 30 minutes. How long will it take (in minutes) for the train to travel 180 miles?
Answer:
It will take 90 minutes for the train to travel 180 miles.
Step-by-step explanation:
180 ÷ 60 = 3
3 × 30 = 90
Answer:
90 minutes
Step-by-step explanation:
60+60+60=180
30+30+30=90
¿Qué altura tiene un poste que proyecta una sombra de 21 metros, al mismo tiempo que una persona de 1.75 metros de estatura lo observa y proyecta una sombra de 1.35 metros?
Respuesta:
27,22 metros
Explicación paso a paso:
Dado :
Sombra del poste = 21 metros
Altura de la persona = 1,75 metros
Sombra de la persona = 1,35 metros
Altura del poste =?
Usando la relación:
Altura de la persona / sombra de la persona = altura del poste / sombra del poste
1,75 / 1,35 = x / 21
Cruz multiplicar
1,35 * x = 1,75 * 21
x = (1,75 * 21) / 1,35
x = 27,22
Mr. Yasin paid a total of 9.43 to buy three boxes of cereal. If he paid 3.99 for the 1st box and 2.97 for the 2nd box how much did Mr. Yasin pay for third box of cereal?
$4.72, 2.47, 6.96, or 3.54
Answer:
$2.47
Step-by-step explanation:
Pretend if Mr. Yasin didn't pay for the 3rd box, find out how much he had left after paying for the first 2 boxes.
9.43 - 3.99 - 2.97 = 2.47
. What is the value of x in the figure? * 1 point Captionless Image A. 180 B. 90 C. 40 D. 8
what is this area? marking brainliest
Answer:
57in^2
Step-by-step explanation:
Divide the shape into 2 recatngles.
Imagine a line cuts away a rectangle of length 12in by width 4in. from a square of length (12-9)in. and width (7-4)in
This gives you 2 different shapes
Find their area
Rectangle one has an area of = 12in x 4in = 48in^2
Square has an area of = (12-9) in x (7-4) in = 3x 3 inch = 9in.^2
Find their sum to find the area of the whole compound shape:
48+9 = 57in^2
Hope this helps
john is twice as old as his son. his son is 5 years older than his sister . in five years to come John will be 3 times as old as his daughter. how old is his son now?
Answer:
5
Step-by-step explanation:
Terrible wording on the question as the "father" is 15 the "son" is 10 and the sister is 0 or just born
J = john
S = son
X = sister
J = 2s
S = 5 + X
3(x+5) = J + 5
J = 2(5+x) = 2x + 10
3x+15 = 2x +10 + 5
x = 0
For Problems 1-3, use the grid to the right.
1. What is the sum of column A?
2. What is the product of column B?
What is the product of column C?
Answer:
1. -5
2. -24
3. 0
Step-by-step explanation:
Sum means addition.
Product means multiplication.
A negative times a negative will give you a positive.
Anything times zero is zero.
1. -2 + 5 + (-8) = -5
2. -1 * -4 * -6 = -24
3. 10 * 0 *-9 = 0
Find the volume of the figure
Answer:
A = 189.25
Step-by-step explanation:
A = πr²
15 x 10 = 150
5 x 5 x 3.14 = 78.5
78/2 = 39.25
You divide by 2 because it's half of a circle.
150 + 39.25 = 189.25
Let me know if this helps!
Given that a 12 foot long piece of steel pipe weighs 5 pounds per foot, how much does it weigh in kilograms per meter?
1 pound - 0.454 kilograms.
1 foot - 0.305 meters.
A: 6.34 kg/m
B: 6.84 kg/m
C: 7.44 kg/m
D: 7.94 kg/m
Answer:
b
Step-by-step explanation:
if you add it all together that's the answer hope this helps!
Jackson wraps a gift box in the shape of a right rectangular prism. The figure below
shows a net for the gift box.
14 cm
9 cm
9 cm
13 cm
9 cm
9 cm
13 cm
Answer:
14cm is the correct answer
Round these numbers to whole numbers: 287.32 901.8 12.0913442 6,843.36 37.9
Answer:
287 902 12 6843 38
Step-by-step explanation:
.5 or higher rounds up
Answer:
287
902
12
6843
38
Step-by-step explanation:
Hailey is designing a new board game, and is trying to figure out all the possible
outcomes. How many different possible outcomes are there if she rolls a fair die in
the shape of a pyramid that has four sides labeled 1 to 4 and spins a spinner with four
equal-sized sections labeled Red, Green, Blue, Orange?
Given:
Numbers on die = 1, 2, 3, 4
Colors on board = Red, Green, Blue, Orange (equal sized sections)
To find:
The number of different possible outcomes are there if she rolls a fair die in the board.
Solution:
According to the given information,
The total possibilities for numbers = 4
Total possibilities for colors = 4
Total possibilities = Possibilities for number × Possibilities for colors
= [tex]4\times 4[/tex]
= [tex]16[/tex]
So, total 16 possible outcomes are there if she rolls a fair die in the board.
Let Red=R, Green=G, Blue=B, Orange=O, then list of total possible outcomes is:
{1R,1G,1B,1O,2R,2G,2B,2O,3R,3G,3B,3O,4R,4G,4B,4O}
Therefore, the total possible outcomes are 16 and the lies of outcomes is {1R,1G,1B,1O,2R,2G,2B,2O,3R,3G,3B,3O,4R,4G,4B,4O}.
Answer: 8
Step-by-step explanation:
i saw one like the answser it said do 4 x 4 and got 16 then i answer it and got it wrong so i did 4 plus 4