Find the 7th term of the geometric progression which begins -6250, 1250, -250....
Answer:
a(7) = -0.4
Step-by-step explanation:
The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio. In this problem, a(1) = -6250. To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.
Then the formula for THIS geometric progression is
a(n) = -6250*(-0.2)^(n - 1).
Thus, the 7th term of THIS progression is
a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4
Answer:
a₇ = - [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
The nth term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then
a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]
The drama club sold tickets for the school play at $5 each. A ticket for the dress rehearsal cost $2. The club sold four times as many tickets for the play as for the dress rehearsal. The drama club collected $5148 for the tickets. How many tickets were sold for the dress rehearsal? How many tickets were sold in total?
ahoj odpoveď je 你好，答案是
Johnny has 6 times 3 bottles of Dawn dish soap, how much Dawn dish soap does he have? Why does he NEED that many Dawn dish soap.
Answer:
I was wondering the same thing! like what was Johnny using that much soap for....? btw I loI that video
You purchase three $0.89 candy bars and you hand the cashier a $5 bill. You then tell them to keep the change as a top. What percent tip did you leave
Answer:
82.2%
Step-by-step explanation:
You gave them $4.11 extra and 4.11 of 5 is 82.2
Carla paid $129 plus 6% sales tax for a guitar. What
was the total cost of the guitar? PLEASE SHOW WORK!
Answer:
136.74
Step-by-step explanation:
6 percent of $129 is $7.74
129 plus 7.74 = 136.74
please hurry i have less than five minutes
Would you expect the line in the question described above (y=−9.25x−1.75y=−9.25x−1.75 ) would have a slope that points up and to the left or up and to the right? Why?
Answer:
Up and to the left.
Step-by-step explanation:
I checked it on desmos graphing calculator
Tell whether x and y show a positive, a negative, or no correlation.
so 12
45
40
20
15
10
.
5
5
10 15 20 25 30 35 40 45 SO
Answer:
her 9PM and a lot are a little too short
Solve using the quadratic formula. x^2−10x+23=0
Answer:
x = 5 ± √ 2
Step-by-step explanation:
1. The function f(x) = -0.05(x2 - 26x - 120) represents the path coming out of the cannon. If x is the horizontal distance from the cannon, what does f(x) represent? (1 point)
Answer:
f(x) represents the vertical height of the cannon
Step-by-step explanation:
The given function is presented as follows;
f(x) = -0.05·(x² - 26·x - 120)
Given that 'x' represent the horizontal path of the cannon and the function describes the path of the cannon, we have that the vertical height reached by the cannon as it moves along the horizontal path is given as the function f(x)
Therefore, we have;
f(0) = -0.05·(0² - 26×0 - 120) = -0.05 × -120 = 6
f(0) = 6
The starting height of the cannon = 6
The maximum height reached by the cannon is given as follows;
f'(x) = d(-0.05·(x² - 26·x - 120))/dx = -0.05·d(x² - 26·x - 120)/dx = -0.05×(2·x - 26)
f'(x) = -0.05×(2·x - 26)
f'(x) = 0 At maximum height, therefore, we have;
-0.05×(2·x - 26) = 0
(2·x - 26) = 0
2·x = 26
x = 26/2 = 13
x = 13
f(13) = -0.05·(13² - 26×13 - 120) = 14.45
The maximum height = 14.45
Therefore;
f(x) = The vertical height of the cannon
Use simple interest to find the ending balance. $215 at 8% for 8 years
Answer:
$ 352.6
Step-by-step explanation:
SI = P (1 + rt)
= 215 [ 1 + (0.08) x 8]
= 215 (1 + 0.64)
= 215 (1.64)
= $ 352.6
A cube has a volume of 2197 m. Its surface is to be painted. Each can of paint covers about 40 m2
How many cans of paint are needed?
Answer:
25 cans
Step-by-step explanation:
Let the side length of the cube be s m
Therefore,
[tex] {s}^{3} = 2197 \\ \\ {s}^{3} = {13}^{3} \\ \\ \implies \: s = 13 \: m \\ \\ total \: surface \: area \: of \: cube \\ = 6 {s}^{2} \\ = 6( {13})^{2} \\ = 6 \times 169 \\ = 1,014 \: {m}^{2} \\ \\ no \: of \: cans \: of \: paint \: needed \\ = \frac{1014}{40} \\ = 25.35 \: \\ \approx \: 25[/tex]
Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?
x+3y=16
3x+y=8
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The attached shows the matrices and the determinants. The value of x is ...
x = ∆₁/∆ = -8/-8 = 1
The value of x in the solution to this system of equations is 1.
Answer:
A: 16 3 8 1 / -8 = 1
Step-by-step explanation:
got 100% on "Cramer's rule" edge 2022 quiz
Which expressions are equivalent to 7x - 14? Check all that apply.
□ 14 - 7x
□x-2
□-(14 - 7x)
□ 7(x-2)
□ 3x - 14 + 4x
□ 2x - 10 + 5x + 4
Answer:
-(14 - 7x)
7(x- 2)
3x - 14 + 4x
these are correct
Now you try. What is the base 10 representation of 1425?
29
47
72
325
Answer:
47
Step-by-step explanation:
i just did this in edge like 20 minuets ago
Answer:
there you go i know im very late but its just another answer eh whatever its fine
Step-by-step explanation:
Type the expression that results from the following series of steps:
Start with n, add 5, multiply by 4, then subtract 7.
Answer:
n+5×4-7
Step-by-step explanation:
Molly ate 1/4 pint of ice-cream. Her sister did not want the last 2/4 pint of her own ice-cream, so Molly ate it. How much ice-cream did Molly eat? Pint
Answer:
3/4 a pint
Step-by-step explanation:
1/4 + 2/4 = 3/4
The triangles on the grid below represent a translation.
On a coordinate plane, triangle A B C is shifted 5 units up to form triangle A prime B prime C prime.
Which translation is shown on the grid?
a horizontal translation only
a vertical translation only
a horizontal translation followed by a vertical translation
a vertical translation followed by a horizontal translation
Answer:
B. Vertical Translation only
Step-by-step explanation:
:>
The triangle ABC is vertically translated only. Then the correct option is B.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry.
Rotation does not change the size and shape of the geometry.
Translation does not change the size and shape of the geometry.
On a coordinate plane, triangle ABC is shifted 5 units up to form triangle A'B'C'.
The diagram is given below.
From the diagram, we can clearly observe that the triangle ABC is vertically translated only.
Then the correct option is B.
More about the transformation of geometry link is given below.
https://brainly.com/question/22532832
#SPJ5
does 20, 40, 30 form a pythagorean triple
Answer:
Step-by-step explanation:
If it is a Pythagorean Triple the hypotenuse and the legs of a right triangle will all be integer values where
c^2=a^2+b^2
In this case, this isn’t even a right triangle as
20^2+30^2=40^2
400+900=1600
1300!=1600
because 1300 does not equal 1600 this is not a Pythagorean Triple.
11 is quotient of a number y and 6
11=y/6
---
hope it helps
sorry, I didn't know how to explain it
Answer: 11= y/6y= 66
Step-by-step explanation:
PLEASE ANSWER FAST! What is the base of a 30-60-90 triangle with a height of 12 yd?
Answer:
side opposite 30° angle (shorter leg) = 6 cm
side opposite 60° angle (longer leg) = 6√3 cm
Step-by-step explanation:
I'm not 100% sure if this is right but if its wrong i am so sorry.
what is the m<2 = ?
Answer:
The area equal to a square that is 1 meter on each side. Used for measuring areas of rooms, houses, blocks of land, etc
Step-by-step explanation:
A. GIVE AN EXAMPLE OF THE FOLLOWING AROUND YOUR HOME POINTS 1. 2. 3. 4. LINE /RAY/SEGMENT 5. 6. 7. 8. PLANE 9. 10.
Evaluate ba+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a mixed number in simplest form.
Answer:
-117/640
Step-by-step explanation:
ba + cd
b= -7/16
a= 7/8
c= 08.(4/5)
d= 1/4
Hence it can be calculated as follows
-7/16×7/8 + 4/5×1/4
-49/128 + 1/5
-246+128/640
= -117/640
Answer: -2 11/20
Step-by-step explanation I did this and it is correct
evalute
1. |-7|
2. |15|
3. |0|
4. -|5|
help asap
Which statement is true?
A pound is 8 times as heavy as an ounce.
A pound is 10 times as heavy as an ounce.
A pound is 12 times as heavy as an ounce.
A pound is 16 times as heavy as an ounce.
Answer:
a pound is 16 times as heavy as an ounce
Answer:
Option 4
Step-by-step explanation:
16 times an ounce - - - a pound
what is the axis of symmetry for y=6x^2+6x
Answer:
x=3
Step-by-step explanation:
Find the area of the isosceles triangle
Answer:
could you add the picture? then i will edit my answer to give you the actual answer
Step-by-step explanation:
Roberto will roll a number cube and flip a coin. The faces of the number cube are labeled 1 through 6. The coin can land on heads or tails. What is the probability that the number cube lands on an even number and the coin lands on tails?
Answer: There are 3 even numbers on the cube. There are 2 sides to a coin. there is a 1/2 chance of the cube landing on an even number. There is a 1/2 chance of the coin landing on tails.
There is a 1/4 chance of these events occurring together.
Three prime numbers that can be multiplied to get 825
Answer:
Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.
Step-by-step explanation:
Hope this helps!
Answer: 3, 5, and 11
3 * 5 * 5 * 11
Step-by-step explanation:
Make a factor tree for 825
825
/ \
5 165
/ \
5 33
/ \
3 11
Find the value of x. Round to the nearest whole number.
Answer:
A. 61 degrees
Step-by-step explanation:
tan x = 9/5
[tex]tan^{-1} x=1.8[/tex]
x≈60.9