The next 3 terms of the geometric sequence 3, 12, 48, are 192, 768 and 3072.
Using geometric sequence formula:
aₙ = arⁿ⁻¹where
a = first term
r = common ratio
n = number of term
Therefore,
let's find the 4th term .
n = 4
a = 3
r = 12 /3 = 4
a₄ = 3 × 4⁴⁻¹
a₄ = 3 × 4³
a₄ = 3 × 64 = 192
Using the same pattern the next 2 terms are as follows
192 × 4 = 768 768 × 4 = 3072Therefore, the next three terms of the sequence 3, 12, 48, ... are 192, 768 and 3072.
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Can someone please help me with this question.
Answer:
D
Step-by-step explanation:
Easy 7th grade pre algebra!
Help!
solution for 3×-6=5×+2?
Which equation BEST represents the line of best fit for the scatterplot? A) y = x + 2 B) y = x + 1 C) y = x - 2 D) y = 2x + 1
Answer:
y=x+2 is the right answer
Step-by-step explanation:
Equation A best represents the line of best fit for the scatter plot. Option A is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
From option 1;
y= x+2
At,x=0 y=2
At,y=0 x=-2
The equation satisfy the graph in the best possible way. So that equation A best represents the line of best fit for the scatter plot.
Hence, option A is correct.
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The function f is defined by f(x) x2 +3x-10.
If fx +5)x2 +kx+30, k = [?]
Find the smallest zero of f(x+5). x = [?]
Answer:
K=13
X=-10
Step-by-step explanation:
Trying to graduate with in the next week please help!
785942+8542760x563498=
If g(x) = x3 + 4x2 + 5x + 2, which statement is true?
Answer:
If g(x) = x3 + 4x2 + 5x + 2, which statement is true?
Step-by-step explanation:
The function g(x) intersects the x-axis the same number of times as the function f(x).
The function g(x) intersects the x-axis more times than the function f(x).
The function g(x) does not intersect the x-axis.
The function g(x) intersects the x-axis fewer times than the function f(x
Rewrite the following equation in slope-intercept form. 6x − 14y = -3 Write your answer using integers, proper fractions, and improper fractions in simplest form.
victor has the map scale missing.he knows the distance from the lake to the youth center is 8 miles. on the map they are 2in. apart. what is the scale for victors map
Answer:
The correct scale is 1 inch = 4 miles.
Step-by-step explanation:
Map scale is defined as the ratio between the marked distance on a map to the corresponding distance on the ground.
Here, it is given that the measurement on the map is 2 inches, and it equals to 8 miles; so 2 inches = 8 miles
Simplifying this we get:
1 inch = 4 miles.
Hence, the scale is 1 inch equals 4 miles.
The height of a cone-shaped statue is 9 ft, and the diameter is 12 ft.
What is the approximate volume of the statue?
Use 3.14 to approximate pi, and express your final answer as a decimal.
Enter your answer in the box.
ft³
Answer:
its 339.12
Step-by-step explanation:
i did the test
I’m on khan academy(6th grade math) and I’m confused so here’s the question
“ Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chest every 4 hours
Complete the table using equivalent ratios.”
The table is:
8 chests every 4 hours
12 chests every 6 hours
10 chests every _(blank)_ hours
So yea I did the middle one myself but I’m stuck on the last one
What is the value of the underlined digit?
5,682, 450,003
A. eighty thousand
B. eighty million
C. eighty-two million
D. eighty billion
Of all the people that attend movies 67% are in the 12-29 age group. At one theater 500 people attended a showing of a certain movie. How many were in the 12-29 age group
Please help me!!! WITH MATH
30 points for this and brainliest!
Answer all question and don't steal the points or i will report.
Answer:
1. I think A is 5 because it is the lower quartile range
2. The median of the data is 56 because the median of a plot is in the middle of the data
3. The greatest value of the data plot is 45 because it is higher than the rest of the numbers (upper quartile range).
4. The median of the plot is 41 because if you look at the box-whisker plot you can see that it is in the middle of the box
5. Your answer would be 42 because on a box-whisker plot, the first quartile is on the side of the box(first quartile).
Hope this helps :)
Pls mark as BRAINLIEST!
Step-by-step explanation:
Lin has picked 1 1/2 cups of raspberries, which is enough for 3/4 of a cake. How many cups does she need for the whole cake?
Which expression represents the prime factorization of 276?
What is the value of x?
Enter your answer in the box.
x =
From our diagram we can see that angle HED equals to angel GED and angle GDE equals to angel HDE.
Two triangles are similar if the corresponding angles are equal, so their corresponding sides will be in equal ratio.
Upon setting ratios of corresponding sides of our triangle equal we will get,
[tex]\frac{EG}{GD} =\frac{EH}{HD}[/tex]
[tex]\frac{99.2}{62} =\frac{112}{(x+2)}[/tex]
Now we will use cross multiplication to solve our equation,
[tex]99.2(x+2)=112\cdot 62[/tex]
[tex]99.2x+198.4=6944[/tex]
[tex]99.2x=6944-198.4[/tex]
[tex]99.2x=6745.6[/tex]
[tex]x=\frac{6745.6}{99.2}[/tex]
[tex]x=68[/tex]
Therefore, value of x will be 68 ft.
Which shows how to find the volume of this rectangular prism by filling it with 1/2 inch cubes?
HELP ME PLEASE!!!! Giving 40 points!!!!!!!
What is the area of this figure?
Enter your answer in the box.
Explain how you got the answer as well please.
A square pyramid is shown. What is the surface area? PLEASE HELP ME!
Need answer for 7,8, and 9
How do I find the prime factorization of 40? And what is prime factorization?
Prime factorization is finding the prime numbers that multiply to create the original number. The prime factorization of 40 is 2³ × 5.
Explanation:Prime factorization is the process of breaking down a composite number into the prime numbers that, when multiplied together, give the original number. To find the prime factorization of 40, you would start by finding two numbers that multiply to give you 40. You could start with 4 × 10. Since 4 is not a prime number, it can be further broken down into 2 × 2. The number 10 can also be broken into prime factors 2 × 5. Therefore, the prime factorization of 40 is 2 × 2 × 2 × 5, or 2³ × 5.
I need help with this:
The volume of a cube is 729 cubic units. What expression makes 729?
Christina, Kandace, and Devan together sold 43 tickets for the school dance. Christina sold 12 tickets and Kandace sold 17 tickets. How many tickets did Devan sell?
A) 14
B)26
C) 29
D)31
A rectangular picture is 7 inches long and 5 inches wide. What is the area of the picture? A. 35 in² B. 35 in. C. 24 in. D. 24 in²
Hello peoples please help I’m extremely stupid and math is not my strongest point. Thanks for your help if you can =)
Joseph borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Joseph paid for the book when he returned it x days after the due date: 2 + 0.25x What does the coefficient of the expression represent?
The number 50 is no more than a number h times 2
The statement 'The number 50 is no more than a number h times 2' is an algebraic inequality stating that 50 is less than or equal to 2h. To solve for h, we divide 50 by 2, yielding h must be greater than or equal to 25.
The question "The number 50 is no more than a number h times 2" relates to a basic algebraic concept where we represent numbers or quantities using variables. The statement can be translated into an inequality that states 50 is less than or equal to 2 times a number h, or mathematically, 50 <= 2h. This could be solved for h by dividing both sides of the inequality by 2, resulting in h >= 25.
Anyone can help me with this please.