Answer:
x = 8
Step-by-step explanation:
both segments are equal so you factor x and your numbers to opposite sides and divide by the amount of x if its over 1.
Find the 14th term of the geometric sequence 1 , − 5 , 25 , . . .
Answer:
-1220703125
Explanation:
The 14th term of the geometric sequence 1 , − 5 , 25 , . . . is (5)¹⁴ after using the geometric sequence formula.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
The sequence is:
1 , − 5 , 25 , . . .
The above sequence represents a geometric sequence.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,
approaching either infinity or -infinity.
The common ratio = -5/1 = -5
The nth term a(n) = arⁿ⁻¹
The first term a = 1
The nth term a(n) = (5)ⁿ⁻¹
Plug n = 14
The 14th term a(14) = (-5)¹⁵⁻¹
The 14th term a(14) = (5)¹⁴
Thus, the 14th term of the geometric sequence 1 , − 5 , 25 , . . . is (5)¹⁴ after using the geometric sequence formula.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ2
Please help. Question below.
Answer:
See explanation
Step-by-step explanation:
Let's go over the definition of each term.
Mean: Average of all the data. Find by adding all the terms, then dividing that by the amount of terms
Median: Value in the middle of the data when the values are in order. Find by locating the term in the middle position.
Mode: The number or numbers that occur most often in the data.
Range: Difference between the highest and lowest values in the data. Find by subtracting the lowest value from the highest.
Outlier: A number or numbers that are different from the rest of teh data and cannot be accurately included.
Now, let's find the answers.
32 + 25 + 21 + 32 + 7 + 26 + 32 + 35 + 37 + 36 + 25 + 25 + 62 + 36 = 431
431/14 = 30.8. Therefore, the mean is 30.8.
When the numbers are in order, they look like this:
7, 21, 25, 25, 25, 26, 32, 32, 32, 35, 36, 36, 37, 62.
Since there are two numbers in the middle, 32 and 32, find the average of the two numbers. 32 + 32 / 2 = 32. Therefore, the median is 32.
The numbers that occur most often are 25 and 32, which each occur three times. Therefore, the modes are 25 and 32.
The largest value is 62 and the smallest is 7. 62 - 7 = 55. Therefore, the range is 55.
There are two numbers that are much higher or much lower than the rest of the data: 7 and 62. Therefore, the outliers are 7 and 62 (hint: if you're sure there are outliers, check the highest and lowest numbers in the data).
Please help me on number one I will mark you as the best answer
Answer:
-4n - 40 > -120
<=> -4n > -80
<=> 4n < 80
<=> n < 20
=> Option B is correct.
q/(-7) + 1 > 5
<=> q/(-7) > 4
<=> q < 4 x (-7)
<=> q < -28
=> Option C is correct.
Hope this helps!
:)
What’s this answer Im tried everything
Answer:
the answer is B, you can try graphing them if u need to verify it
I need help with this ASAP!!!
Answer:
sqrt d = 10
d = (10)^2
d = 100
Part b
x^2 = 144
x = 12 or -12
Step-by-step explanation:
The area of Miguel’s rectangular garden is 450 square feet. The garden is 9 feet wide.
How many feet of fencing will Miguel need to buy to enclose the garden on all four sides?
Answer: 118 feet
Step-by-step explanation:
For a rectangular shape: Area = W × L
450 = 9 × L
450 ÷ 9
L = 50
Perimeter of a rectangular shape = 2L + 2W
Perimeter = (2 × 50) + (2 × 9)
= 100 + 18 = 118 feet
does anyone understand the Pythagorean Theorem
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
a^2 + b^2 = c^2
a = side of right triangle
b = side of right triangle
c = hypotenuse
*can only be used for a RIGHT triangle*
( hope i was able to help)
can someone please help me, 20 points!!!
Answer:
9.4 = x
Step-by-step explanation:
You are given the hypotenuse and the adjacent side, leading you to use cosine.
Set it up:
[tex]cos48 = \frac{x}{14}[/tex]
Multiply everything by 14, to remove it from the denominator:
[tex]14(cos48 = \frac{x}{14})[/tex]
[tex]14cos48=x[/tex]
Multiply accordingly:
9.36 = x
Round to nearest tenth:
9.4 = x
An equation has solutions of m= -5 and m = 9. Which could be the equation?
(m + 5)(m - 9) = 0
(m-5)(m + 9) = 0
m2 - 5m + 9 = 0
Om2 + 5m - 9= 0
Answer:
[tex](m+5)(m-9)=0[/tex]
Step-by-step explanation:
you set each of them equal to zero,
[tex]m+5=0[/tex]
[tex]m-9=0[/tex]
and solve for 'm'
Answer: Option A
(A) (m +5 )( m-9 ) = 0
Step-by-step explanation:
Two sides is a triangle have the following measures. Find the range of possible measures for third side.
Answer:
last one
Step-by-step explanation:
the least is 10. so 10 plus one of the number is always greater than the other number. The max is 62. 62 plus any number is greater than the othe
6 < x < 64
Therefore, option b) is correct.
Step-by-step explanation:
Given :
Two sides of the triangle -- 35 , 29
Solution :
Let y, z and x are the sides of the triangle and given that y = 35 and z = 29.
Then ,
y - z < x < y + z
35 - 29 < x < 35 + 29
6 < x < 64
Therefore, option b) is correct.
For more information, refer to the link given below
https://brainly.com/question/2773823?referrer=searchResults
If $125 is invested at an interest rate of 18% per year and is compounded continuously, how much will the investment be worth in 2 years?
Use the continuous compound interest formula A = Per
$123
Answer:
$174.05
Step-by-step explanation:
To find the value of the investment at a later date:
[tex]x * multiplier^n = y[/tex]
Here, [tex]x[/tex] is the original amount, [tex]n[/tex] is the number of times the amount compounds and [tex]y[/tex] is the new value.
Let's find the multiplier. Imagine the $125 to be 100%, because that is the full amount of the investment. If you add 18% onto 100%, the result is 118%.
To convert this into a multiplier, you simply divide by 100:
118 ÷ 100 = 1.18
The original amount [tex]x[/tex] in this case is equal to $125, so we can easily substitute that into the equation. We know our multiplier is 1.18. And here, the investment is compounded once per year, and this is over a two year period, meaning the original amount will be compounded twice overall. Therefore, [tex]n=2[/tex].
Finally, we substitute our values into the equation:
[tex]125 * 1.18^2 =174.05[/tex]
This means our final answer is $174.05.
Place the indicated product in the proper location on the grid.
(ab - 9)(ab + 8)
Answer:
(2b)
Step-by-step explanation:
How many peaks does this graph have? Algebra 1
Answer:
One. see it for the ages of 50-59.
A volcano Irruption blasts a boulder upward with an initial velocity of 240 ft./s This modeled by the equation h(t)=-16t^2+240t. How heigh will the boulder be after 5 seconds?
Answer:
1600 ft
Step-by-step explanation:
What is the solution to log 8x = 3?
answer : 3/8 or .375
8x=3
divide both sides by 8
x=3/8 or .375
Order the following numbers from greatest to least: 2, -1 , 2.58, -1.65. -1, -1.65, 2, 2.58 2.58, 2, -1.65, -1 2.58, 2, -1 , -1.65 -1.65, -1, 2, 2.58
Answer:
2.58, 2.58, 2.58, 2.58, 2.58, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1.65, -1.65, -1.65, -1.65, -1.65
Step-by-step explanation:
The numbers are in greatest to least.
2.58, 2 1/3, -1.65, and -1 3/4
Step-by-step explanation:
positive then negatives
one batch of walnut muffins use 1 1/3 cups of walnut how many cups of walnut are needed to make 3 3/4 batches of muffins
Answer:
multiply 1 1/3 to 3 3/4
Step-by-step explanation:
Answer:
3 2/3
Step-by-step explanation:
If you make the one batch of walnut muffins into a mixed number you get 3 2/3 so that would be how much you would need for the 3 3/4 batches of muffins
1 Beverly investe $18,000n an account that pays 5% annual simple interest. Beverly win
not make any additional deposits or withdrawals. How much interest Will Beverly earn on
her investment at the end of 5 years
Answer:
She'll earn $4973.07 coming to an amount of $22,973.07
Step-by-step explanation:
My bathtub holds 21 gallons of water. How many pints of tomato juice do i need to fill my tub?
Answer:
168
Step-by-step explanation:
21 x 8 pints in a gallon is 168
A demand ___ is a graphic representation of the law of demand
a. schedule
b. curve
c. projection
d. model
Answer:
I think it is b. Curve
Step-by-step explanation:
What is f(0)?
Im pretty sure the answer is infinity or DNE.
Please help
Answer: It represents the y intercept of f(x). ... f(0) represents the ordinate of the point where the function intersects the y axis. This is the y intercept of the function.
Step-by-step explanation:
Can someone help and explain A and B please...
Factor completely 2x2 − 32.
Answer:
2(1x1-16)
Step-by-step explanation:
1. Find the gcf (greatest common factor) which is 2
2. Divide by each of the factors and put it inside of the parentheses
help me please ( i’ll give 20 points for this )
Answer:
108
Step-by-step explanation:
add 90+68+94, which will give you 252. subtract that from 360 because it‘s a quadrilateral and you will get 108 :)
Answer:
64°
Step-by-step explanation:
See the angle is smaller than 108° and it is not 90° so the answer is 64°
Please Help!!! Explain how to solve!!! Extra points and brainiest will be given
Answer:
2,493.796 => 2493.8
Step-by-step explanation:
Answer:
2,492.5 mm^2
Step-by-step explanation:
The formula to find the Surface area is 2 pi r^2 + 2 pi r x h
So, 2 pi 14.7^2 + 2 pi 14.7 x 12.3
2 pi 216.09 + 2 pi 180.81
2 x 678.5226 + 2 x 567.7434
1,357.0452 + 1,135.4868
2,492.532
The surface area of this cylinder is 2,492.5 mm^2
Solve for b.
b + 0.6 = -1
What is the answer ?
A. b = -1.6
B. b = -0.4
C. b = 0.4
D. b = 1.6
Please help as quick as you can! Question is below! Brainliest!
Answer:
Cylinder = [tex]\pi[/tex]* [tex]r^{2}[/tex] * h
Rectangle = l*w*h
Cone = 1/3 [tex]\pi[/tex]* [tex]r^{2}[/tex] * h
Pyramid = 1/3 b*h
Step-by-step explanation:
The quadrilateral ABCD is a rhombus with diagonals AC = 12 ft and BD = 4 ft. The points M and N divide diagonal AC on three equal parts. Prove that BMDN is a square and find its area.
Answer:
area of BMDN 8 ft²
Step-by-step explanation:
In BMDN the diagonals are BD and MN.
MN is 12/3 = 4 ft long, and BD = 4 ft.
A rhombus with equal diagonals is a square, so BMDN is a square.
In the right triangle BDN, the diagonal BD is the hypotenuse, then:
DN² + NB² = BD²
but DN = NB, then:
2*DN² = 16 ft²
DN² = 8 ft²
The area of BMDN is computed as one of its sides squared. Then, DN² is its area
Find the distance between P and Q.
Answer: 10
Step-by-step explanation:
Use the tool to measure the sides and angles of the triangles. Triangle XYZ is the pre–image. Are the triangles similar? Yes, No, Not Enough Information. If so, what is the scale factor going from triangle PQR to triangle ZYX? 1/4, 1/2, 2, cannot be determined
Answer:
"yes" the triangles are similar
the scale factor going from triangle PQR to triangle ZYK is "2"
Step-by-step explanation:
i just did it :3 good luck!
Answer:
"yes" and "2"