Answer:
first term = 3
Step-by-step explanation:
The n th term of a GP is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here r = 3 and a₅ = 243 , thus
a₁ × [tex]3^{4}[/tex] = 243
a₁ × 81 = 243 ( divide both sides by 81 )
a₁ = 3
If g(x) = x2 + 2, find g(3).
9
8
11
6
9514 1404 393
Answer:
11
Step-by-step explanation:
Put 3 where x is and do the arithmetic.
g(x) = x² +2
g(3) = 3² +2 = 9+2
g(3) = 11
Easy question for easy points.
Answer:
Multiply 10 and 2 each by 4 and .07. Then add.
Step-by-step explanation:
Answer:
Multiply 10 and 2 each by 4 and .07. Then add.
Step-by-step explanation:
Select all of the situations below that can be modeled by the expression 4 + 3x.
Answer:
A,C,D
Step-by-step explanation:
2 cities are 120 miles apart. A group that is travelling from one of the cities to the other is already 3/4 of the way. How many miles do the group have left to travel?
Answer in this from, They have blank miles to go
Answer:
They have 30 miles to go
Step-by-step explanation:
1st: you find 3/4 of 120= 90 miles
They have traveled 90 miles
Next, you do 120-90.
You get 30 miles
A rectangular city is 2 miles long and 7 miles wide. What is the distance between opposite corners of the city? The exact distance is ______________ miles How far is it to the closest tenth of a mile? Answer: The distance is approximately ___________ miles.
Answer:
The distance is approximately 10.4 miles.
Answer:
exact distance is = 7.28010988928
rounded to the tenth of a mile is
distance is approximately 7.3 miles
Step-by-step explanation:
hypotenuse of a triangle that's 2 by 7
Pythagorean theorem
a^2 + b^2 = c^2
2^2 + 7^2 = c^2
4 + 49 = c^2
c^2 = 53
c = √53
c = 7.28010988928
tenth of a mile is
c = 7.3
What’s 11673.15175 nearest cent
Answer:
1673
Step-by-step explanation:
Help me please its urgent I need it done asap I need help if anyone could help me solve these problems that would be very helpful! (I'll give brainliest if you can solve all of them!) A company designs a circular dartboard such that the target area in the center is surrounded by a safety margin. Federal law requires that the area of the safety margin must be twice the area of the actual target in the center. If the total radius of the dartboard is 3 feet, what is the radius of the circular target in the center? (you must show the algebra for full credit)
Answer:
the radius of the circular target in the center is 2.12 feet
Step-by-step explanation:
the total area of the dartboard is
π x r² = π x 3² = 9π (28.27 ft²)
The area of the actual target in the center needs to be half of the dartboard (4.5 π) (14.14 ft²)
(Small area : 4.5π = π x r²
Divide both sides by π
4.5 = r²
√4.5 = r
r= 2.12132034....... (2.12 feet)
Emilio's Bakery is getting more and more orders for blackberry pies. The bakers made 16 blackberry pies in December, 48 blackberry pies in January, 144 blackberry pies in February, and 432 blackberry pies in March. What kind of sequence is this? arithmetic or geometric
Answer:
id say a geometric sequence
Step-by-step explanation:
you multiply 3 to get the next number of pies
HELP ASAP
graph and label the image after rotation of 90 degrees counterclockwise
Answer:
Just move the graph u
Step-by-step explanation:
Z (-3,0)
L(0,3)
J(-5,2)
BRAINLIEST?!
find x when f(X) =2 find x when f(x)=0
Answer:
in both equatons, x=1
Step-by-step explanation:
there is no x on the right side of the equation, so x never changes. it is 1.
Answer:
-1
Step-by-step explanation:
y = x^2 + 3
Find End Behavior
pleas yall help me with this cause I'm dumb
Answer:
-4.8
Step-by-step explanation:
an integer is a whole number that is not a fraction or decimal.
Answer:
The answer would be D :)
Step-by-step explanation:
Random list of rational numbers
1/3, 2/4, 1/5, 9/3, etc....
A movie features dangerous stunts including jumping from a helicopter, riding on the hood of a speeding car, and a number of other acrobatic stunts. The director has hired a stunt double to perform these stunts. In the filming of the helicopter scene, the stunt double is released from a height of 10,000m. Assume the only forces acting on the stunt double are gravity and air resistance. The force of air resistance is assumed to be proportional to the velocity with proportionality constant λ = 10. Assume the stunt double has a mass of 60kg and the force of gravity is −9.81m/s^2.
Required:
Construct a differential equation which models the velocity of the falling stunt double. Explain the reasoning behind how you constructed the model you chose to use. Discuss any potential shortcomings of your model. Describe any initial conditions associated with your model.
Answer:
Vt = 58.86 m/s
Step-by-step explanation:
Stunt height = 10000 m
Stunt mass = 60 kg
force of gravity = 9.81 m/s^2
proportionality constant λ = 10
Forces acting on the stunt double : Gravity and air resistance
attached below is the detailed solution
Vt = 58.86 m/s
The model represents an equation. What value of x makes the equation true?
A) -15
B) -3
C) 15
D) 3
Answer:
the normal x is three and the red x is negative three
Step-by-step explanation:
40 points!! look at attachment! help me understand and how to solve.
Answer:
we is right
Step-by-step explanation:
what is 4 times x and pls explain it for me so then I can explain it
Answer:
4x
Step-by-step explanation:
In algebra, to avoid confusing the multiply sign and x, we always just put the terms next to each other to show that they multiply each other. Here, since x is unknown, we can't find a specific answer and therefore just write it as 4x, which means 4 times x.
help me pls ☹️☹️☹️☹️
The slope of a line can be found by graph using rise over run ([tex]\frac{rise}{run}[/tex]). Look at the image below to see what this mean.
Rise = vertical
run = horizontal
I took two clear points on the line as seen below and drew a right angle that formed a right triangle with the line.
Now let's count how many units the rise is (look at the second image). This is 3 units
rise = 3
Count the units of the run (third image). This is 1 unit
run = 1
Let's put these two numbers together in the [tex]\frac{rise}{run}[/tex] form:
[tex]\frac{3}{1}[/tex] or simplified = 3
However, this is not the final answer. This is a negative slope, meaning that when you look at the line from left to right (like when you are reading words) the line reaches from the top left corner to the bottom right corner. A positive slope (reading left to right) reaches from the bottom left corner to top right corner.
To signify that the slope is negative you simply add a negative sign to it:
-3
Let me know if you have any further questions.
3 lines are shown. A line with points A, F, D intersects a line with points B, F, E at point F. A line extends from point F to point C in between angle B F D.
Which angle is a vertical angle with AngleEFD?
AngleDFB
AngleCED
AngleBFC
AngleAFB
Answer:
your answer would be angleCED
Escribe un número decimal que se encuentre entre cada Par de números 0.1 y 0.01?
Give an example of each of the following, or argue that such a request is impossible.
a. A sequence that has a subsequence that is bounded but contains no subsequence that converges.
b. A sequence that does not contain 0 or 1 as a term but contains subsequences converging to each of these values.
c. A sequence that contains subsequences converging to every point in the infinite set {1, 1/2, 1/3, 1/4, 1/5,...}.
d. A sequence that contains subsequences converging to every point in the infinite set {1, 1/2, 1/3, 1/4, 1/5,...}, and no subsequences converging to points outside of this set.
Answer and Step-by-step explanation:
Solution:
(a) Let (bn) be a bounded sequence of (an) then, Bolzano- Weierstrass theorem,
(bn) contains a subsequence that is converges.
(b) The sequence :
Xn = 1 + (-1) n / 2 + 1/n
Clearly, (xn) does not contain 1 or 0.
If we take sequence (x2n), then it converges to 1 and when we take sequence (x2n+1),
Then it converges to 0.
(c) The sequence:
1
1,1/2
1, 1/2, 1/3
1, 1/2, 1/3, 1/4
i.e
(xn) = (1,1/2, 1, 1/2, 1/3, …)
Then, the subsequence (xn) that is identically ½ in second column and 1/3 is third column and so on.
It has sub sequence that converges to every point in infinite set {1, 1/2, 1/3, 1/4, 1/5…}.
(d) The sequence
{1, 1/2, 1/3, 1/4, 1/5…}
if we take sequence of given set, then, this set converges to zero. This is not contained in it.
If (xn) converges to every point in set {1, 1/2, 1/3 …} then there exists subsequence which converges to 0. And 0 does not belong to given set.
how do I multiply (3.4)(6.7) explain your answers and how you got that please.
Determine which of the lines, if any, are parallel or perpendicular. Explain.
Line a: 4y - 12x = 20
Line b: 3y= -x + 2
Line c: y= 3x - 1
Answer:
Line [tex]a[/tex] and line [tex]c[/tex] are parallel to each other.
Line [tex]b[/tex] is perpendicular to line [tex]a[/tex].
Line [tex]b[/tex] is perpendicular to line [tex]c[/tex].
Step-by-step explanation:
Rewrite the equation of each line in the slope-intercept form [tex]y = m\, x + b[/tex] to find the slope [tex]m[/tex] of that line.
In the slope-intercept form, [tex]y[/tex] need to be on the left-hand side of the equation while [tex]x[/tex] need to be on the right-hand side. The coefficient of [tex]y[/tex] must be [tex]1[/tex]. The slope of the line would then be equal to the coefficient of [tex]x[/tex].
For example, the equation of line [tex]a[/tex] could be rewritten in slope-intercept form as [tex]y = 3\, x + 5[/tex]. The coefficient of [tex]x[/tex] is [tex]3[/tex], so the slope of this line would be [tex]m_{a} = 3\![/tex].
Similarly, rewrite to obtain the the slope-intercept equation of line [tex]b[/tex]: [tex]y = (-1/3)\, x + (2/3)[/tex]. The slope of this line would be [tex]m_{b} = (-1/3)[/tex].
The equation of line [tex]c[/tex] is already in slope-intercept form. The slope of that line would be [tex]m_{c} = 3[/tex].
Let [tex]m_{1}[/tex] and [tex]m_{2}[/tex] denote the slopes of two lines in a Cartesian plane.
These two lines are parallel with if and only if their slopes are the same: [tex]m_{1} = m_{2}[/tex]. These two lines are perpendicular to each other if the product of their slope is [tex](-1)[/tex]: [tex]m_{1}\, m_{2} = (-1)[/tex].In this question, the slope of line [tex]a[/tex] and line [tex]c[/tex] are the same: [tex]m_{a} = m_{c}[/tex]. Thus, line [tex]a\![/tex] and line [tex]c\![/tex] would be parallel.
The product of the slopes of line [tex]a[/tex] and line [tex]b[/tex] is [tex]m_{a}\, m_{b} = 3 \times (-1/3) = (-1)[/tex]. Thus, line [tex]a\![/tex] and line [tex]b[/tex] are perpendicular to each other.
Similarly, line [tex]b[/tex] and line [tex]c[/tex] are perpendicular to each other because the product of their slopes is [tex](-1)[/tex].
A rock is 7 feet below the surface of a river.if it’s position can be recorded as -7 feet,what would the Position of zero represent
If 7 feet below the surface of a river is written as -7 then 0 would be the surface of the river.
10,000 is a what of 10 because 10 x 10 x 10= 10,000
Answer:
correct
Step-by-step explanation:
it it is 10,000 because 10 * 10 * 10 = 10,000 but if it really wasn't that another way you could do it is I believe so 10 times three no cuz that's actually 30 10 times 20 or something but yeah correct
please help me asap
Answer:
Step-by-step explanation: In a total eclipse of the moon, the inner part of Earth's shadow, called the umbra, falls on the moon's face. At mid-eclipse, the entire moon is in shadow, which may appear blood red. ... In a penumbral lunar eclipse, only the more diffuse outer shadow of Earth – the penumbra – falls on the moon's face.
PLEASE ANSWER ASAP
the picture is below btw 0_0
3 times as many footballs as voleyballs were sold
determine the type of triangle that is drawn below.
scalene right
scalene obtuse
isosceles right
scalene acute
isosceles obtuse
equilateral
isosceles acute
the correct answer is isosceles acute
Sarah went on a 36 mile trip to a soccer game. On the way back, due to road construction she had to drive 18 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game?
Answer:
Hi Suuuman the answer for your deleted question is OP = 7.75
Step-by-step explanation:
– 2x + 23 and -8 + 2x = 23 - 2x and -8 + 2x = x= 31 /4 =7 3/4 =7.75 measure of OP = – 2 ( 7.75) + 23 = -15.5 + 23 = 7.75
Step-by-step explanation:
Answer for this question Sarah went on a 36 mile trip to a soccer game. On the way back, due to road construction she had to drive 18 miles per hour slower. This made the trip take 1 hour longer. 36 = 18 +18(a+1)How fast did she drive to the soccer game? let the returning speed be x mphgoing to game speed = x+18 Answer is 18 km/h while returning
Step-by-step explanation: Distance = 36
1 hour more while returning
time return - time going = 1
36/x - 36/(x+18) = 1
LCD= x ( x + 18 )
multiply by LCD
36 ( x + 18 ) - 36 x = 1 x ( x + 18 )
36*18=
36 x + 648 - 18 x = 1x ^2 + 18 x
648 = 1 x^2 - 18 x
x^2 + 18 x -648 = 0
x^2 +36x-18x-648=0
x(x+36)-18(x+36)=0
(x-18)(x+36)=0
x=-36 or 18
x =18
18 km/h while returning
while going speed = 18+18 = 36 km/h
SuuuuMan deseres all the credits as someone deleted his first ever question in error and i was shocked to see as no diagram was needed there or here -see answer in this post instead- and have requested moderators get SuuuMan an appology ok as and while you both learn the any ways to interprete x and setting both amounts to 0 and or setting amounts to = each other to find the value of x