Answer:
The explicit formula for the geometric sequence is [tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex].
Step-by-step explanation:
By definition of geometric sequence, we should use the following expression:
[tex]c(n) = c_{1}\cdot r^{n-1}[/tex], [tex]n \ge 1[/tex] (1)
Where:
[tex]c_{1}[/tex] - First term.
[tex]r[/tex] - Geometric rate.
[tex]n[/tex] - Position of the element within the series.
If we know that [tex]c_{1} = -40[/tex] and [tex]r = \frac{1}{2}[/tex], then the explicit formula for the geometric sequence is:
[tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex]
The explicit formula for the geometric sequence is [tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex].
PLEASE HELPPPPPPPPPPP
Answer:
I think it is 20
Step-by-step explanation:
15+15+24+26=80÷4=20
PLEASE ANSWER WILL GIVE POINTS!!!!!!!!!!!!!
Answer:
1) 27.374
2)9.177
Step-by-step explanation:
1) To get the value of x , we use the appropriate trigonometric ratio
From what we are given;
we have the hypotenuse ( the side facing the right angle) and the adjacent
The trigonometric identity to use here is the cos
The cos of an angle is the ratio of the adjacent to the hypotenuse
cos 64 = 12/x
x = 12/cos 64
x = 27.374
2) Here, we are given the hypotenuse and the opposite
The trigonometric ratio to use here is the sine
the sine of an angle is the ratio of the opposite to the hypotenuse
thus, we have it that;
sin 35 = x/16
x = 16 sin 35
x = 9.177
How do you simplify sqrt 96 *
Answer:
4 times the square root of 6 (4[tex]\sqrt{6}[/tex] )
Step-by-step explanation:
Use a factor tree
lowest common factor of 36 and 56???
Answer:
the lowest common factor of 36 and 56 is 1
you can also have 2,4
Use Pythagorean Theorem to determine which set of sides can be the sides of a right triangle.
A. 3,4,5
B.4,4,8
C.6,6,12
Write the word sentence as an inequality.
The sum of a number n and
n
is no less
less than
than 55
An inequality is
What is the inequalities
Ronald’s parents have $35,000 saved and want to save a total of $125,000 for Ronald to go to college. Ronald’s parents began saving when Ronald was born and plan to save until he is 18 years old. Ronald is 5 years old now. About how much money do Ronald’s parents need to save each month?
Answer:
Money need to save each month = $576.92 each month
Step-by-step explanation:
Given:
Amount of money need to save = $125,000 - $35,000 = $90,000
Number of year remain = 18 - 5 = 13 year
Number of months = 13 x 12 = 156 months
Find:
Money need to save each month
Computation:
Money need to save each month = 90,000 / 156
Money need to save each month = $576.92 each month
Find two numbers whose sum is 8 and whose product is 17. Show all steps.
Answer:
See the solution below
Step-by-step explanation:
Find two numbers whose sum is 8 and whose product is 17. Show all steps.
Given data
Let the first number be x
and the second number be y
so
x+y= 8---------1
x*y= 17---------2
from 1
x= 8-y
put the value of x in 2
(8-y)*y= 17
8y-y^2= 17
collect like terms
y^2-8y+17= 0
Let us check the discriminant
y= √b^2-4ac
y= √-8^2-4*1*17
y= √64-4*1*17
y= √64-68
y= √-4
Hence the problem has no real solution because the discriminant is negative
Help!!!!! Please!!!!!
Answer:
9 cm
Step-by-step explanation:
r = 3cm
Volume of cone = 27π cm³
[tex]\frac{1}{3}\pi r^{2}h=27\pi \\\\\frac{1}{3}*\pi *3*3*h=27\pi \\[/tex]
h = [tex]\frac{27\pi *3}{\pi *3*3}\\[/tex]
h = 9 cm
(9 +40) + (5 +2b) simplify answer.
Answer:
54 + 2b
Step-by-step explanation:
(9 + 40) + (5 + 2b)
49 + 5 + 2b
54 + 2b
The measures of three sides of a triangle are 7 inches, 9 inches and 2 inches. Determine whether the triangle is a right triangle.
aundreys mother has decided to start a college savings account for him. aundrey is about to start kindergarten, and she decides to deposit $1000 in to an account with a 1.3% annual interest rate. How much will be in the account when aundrey starts 4th grade (4 years later) if she makes no deposits or withdrawals and the interest is compounded annually?
a) $27,984.10
b) $1,630.47
c) $1,053.02
d) $949.01
Answer:
C
Step-by-step explanation:
1.3% of 1000 is 13, 13 X 4 ≈ 53
Mr. Romero buys 3 chairs at a cost of $27.90 for each chait. Estimate the
least number of $20 bills he needs to buy the chairs.
Answer: 5
Step-by-step explanation:
Answer:
5, $ 20 bills
Step-by-step explanation:
27.90× 3 = around 85
$85÷ $20=4.25
So 5, 20 dollar bills because it is more that 4
Find the unknown side length, x. Write your answer in simplest radical form. A. 3 B. Sqrt 34 C 6 D.Sqrt 41 Please select the best answer from the choices provided
Answer:
Attach a picture of the shape for the sides already known...
Step-by-step explanation:
Which of the following is a perfect square?
A.) 115
B.) 169
C.) 154
D.) 279
Answer:
B (169)
Step-by-step explanation:
i’m a little bit confused for this one i just need to know what doesn’t belong
Answer:
C
Step-by-step explanation:
there is no other line
Emergency please help I have been trying to solve this all day I am stûpid
Answer: x= 5.3
Step-by-step explanation:
Looking for side opposite and adjacent so we use tangent or tan. The equation is Tan(angle) = opposite/adjacent so input the numbers... Tan24=x/12 and to solve for x(missing side) multiply both sides by 12 to cancel out and get 5.3427 rounded is 5.3
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 18 N acts on a certain object, the acceleration of the object is 3 m/s2. If the acceleration of the object becomes 5 m/s2, what is the force?
Answer:
the force is pull
Step-by-step explanation:
Some friends went hiking. The very top of a trail was a total of 26 miles from town, where the friends began their journey. They drove 8 more miles than they walked on the trail. How far did the friends walk? How far did the friends drive?
Please give steps.
they walked 52 and drove 16
26x2=52 and 8x2=16
-16(d+1)=20
what does d equal
CORRECT answers ONLY please
Answer:
-1.3125
Step-by-step explanation:
-16(d+1) = 20
-16d - 1 = 20
+1 +1
-16d = 21
d = -1.3125
or -1.3
Find the volume: 5 cm cm 1ac 6.5cm
Pls help-?
Answer:
390 cm
Step-by-step explanation:
How to find Volume
Width x Height x Length
=Volume
--
6.5 x 12 x 5 = 390
390 cm
--
how do i do sohcahtoha
Answer:
you mean trigonometry i'm assuming
but essentially:
soh = sin theta (the angle) = opposite length/hypotenuse length
cah = cos theta (angle) = adjacent length/hypotenuse length
toa = tan theta (angle) = opposite length/adjacent length
Step-by-step explanation:
Solve the equation 17=5k-3
Answer:
k = 4
Step-by-step explanation:
17 = 5k - 3
+3. +3
20/5 = 5k/5
4 = k
k = 4
Answer: k = 4
17=5k-3
1. In order to solve this linear equation, we'll need to group all the variable terms on one side, and all the constant terms on the other side of the equation. In the problem, term -3 will be moved on the left side. Notice the sign changes when you move it to the left.
17=5k-3 ⇒ 17 + 3 = (5k - 3) + 320 = 5k - 3 + 3
2. Add the numerical terms.
20 = 5k - (3 + 3) = 6. Note: We don't need the six in the 3rd step.
20 = 5k
3. Switch the variable term. (Ex: 3x + 9 ⇒ 9 + 3x)
20 = 5k ⇒ 5k = 205k = 20
4. We will need to isolate the variable, to do that, get rid of the coefficient that it multiples. We can do that by dividing 5 by both sides.
5k/5 ÷ 20/5 = 1k/45k/5
5. We'll need to reduce 5k/5 to its lowest terms. We can divide the factors that appear both in the numerator and denominator. If we look at 5k/5, 5 appears both in the numerator and denominator.
5k/5 ⇒ k = 2²· 5/56. Lastly, we can do the same thing as we did in the 5th step. That'll lead us to k = 2²
7. Solve for 2²
2 x 2 = 4.
Hence, our answer is 4.
Got any questions? Tell me in the comments.
~ Lily, from Brainly.
IWrite the word “TRUE” if the statement is true, and if FALSE underline the word that makes the statement incorrect.
1. All squares are rectangles. _______
2. Not every rectangle is a rhombus. ____
3. Every quadrilateral is a parallelogram.
_______
4. Some rectangles are rhombuses. _____
5. Rectangles are squares. ____
6. Every parallelogram is a rhombus. ____
7. All rhombuses are parallelogram. ____ 8. A square has diagonals that are
congruent and perpendicular. _____ 9. The diagonals of a rhombus are
congruent. ______
10. A rectangle is an equiangular quadrilateral. ___
Answer:
1.false
2.false
3.
4.false
5false
7false
8false
9false
false
A 20% increase followed by a 25% decrease
Answer:
So basically 5%?
Step-by-step explanation:
Please help meh I keep getting it wrong im so sad
Answer:
1, 2 and 5
Step-by-step explanation:
❗️❗️❗️
Please help!! Will give brainliest!!!
Is the function f(x) = 5x2 even or odd? Why?
Answer
How can tell if the function [latex]f\left(x\right)={x}^{3}+2x\\[/latex] even, odd, or neither? Solution Without looking at a graph, we can determine whether the function is even or odd by finding formulas for the reflections and determining if they return us to the original function.
Step-by-step explanation:
Solve for m: m/3 + 10 =15
Answer:
m=15
Step-by-step explanation:
Explain when you should reverse the inequality symbol when solving an equality.
-2/8, -0.2, -3/7 from least to greatest???
Answer:
-3/7, -2/8, -0.2
Step-by-step explanation:
-0.2 = -1/5
We have -3/7, -2/8 and -1/5
For positive b and d:
a/b < c/d if and only if a*d < c*b
-3/7 < -2/8 if and only if -3*8 < -2*7; obviously true
-2/8 < -1/5 if and only if -2*5 < -1*8; -10 < -8; true
so we get -3/7 < -2/8 < -0.2