Answer:
See step by step explanation
Step-by-step explanation:
To reconize a geometric sequence, the factor at which one number is greater than the previous number should always be the same
For example,
2,4,8,16,32,64,128,256,512,1024 is a geometric sequence since the next number is always greater than the previous number by a factor of 2
to find the n-th term in a sequence, we can use a formula.
Going back to the example, let's label each number with a term
to find the nth term of this specific sequence, we need to find two things
the first number of the sequence, and the factor at which this sequence increases at
the first number is 2, so n1 = 2
each term increases by a factor of 2 (2*2=4, 4*2=8, 8*2=16, 16*2=32, 32*2=64), so the factor is 2
the equation is:
(the initial term)*(the factor)^(the term number - 1)
so,
[tex]2*2^{n-1}[/tex] is our equation
We can check our equation by plugging in a number
looking back at our list, we see that the 7th term is 128
plug in 7 into out equation
[tex]2*2^{7-1}=2*2^6=2^1*2^6=2^7=128[/tex], so our equation works
Here's a practice problem
for the sequence 3,9,27,81,243,729, what is the factor which the sequence increases at? what's the initial number? what's the equation for this sequence?
a harder practice problem:
for the sequence 2,6,18,54,162,486, what is the factor at which the sequence increases at? what's the intitial number? what's the equation for this sequence? what's the 8th term of this sequence if it were to be continued?
Yes we can
the formula given to find the terms is
a_n=ar^n-1Where
a_n is n the terma is first termr is common ration is an positive integerRound 2,034,627,105 to the nearest ten thousand.
Answer:
2,034,630,000
Step-by-step explanation:
2 is in the ten thousand place which means you look to the right which is a 7 which means to round up to get 2,034,630,000
Rectangular pyramid B is the image of rectangular pyramid A after dilation by a scale factor of 33. If the surface area of rectangular pyramid B is 1215 cm^2
2
, find the surface area of rectangular pyramid A, the preimage.
After dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²
To find the area of rectangular pyramid A given rectangular pyramid B, we need to know its scale factor.
What is scale factor?Scale factor is the ratio of the corresponding sides of two objects.
Now, since rectangular pyramid B is the image of rectangular pyramid A, we have that (since we are dealing with areas)
(Scale factor)² = surface area of rectangular pyramid B/surface area of rectangular pyramid A
Surface area of rectangular pyramid ASo, surface area of rectangular pyramid A = surface are of rectangular pyramid B/(scale factor)²
Since
scale factor = 33 and surface area of rectangular pyramid B = 1215 cm²surface area of rectangular pyramid A = surface area of rectangular pyramid B/(scale factor)²
So, substituting the values of the variables into the equation, we have
surface area of rectangular pyramid A = 1215 cm²/33²
= 1215 cm²/1089
= 1.12 cm²
So, after dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²
Learn more about scale factor here:
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four friends each took different path walking from the lunchroom to the gymnasium
finish the question..............
Answer:
Part 1- Lydia
Step-by-step explanation:
The full question should be
Four friends each took a different path walking from the lunchroom to the gymnasium. The table shows the distance that each of them walked. Who walked the farthest?
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer: D
Step-by-step explanation:
Using the two point slope form with points (0, 0) and (4, -3):
[tex]\frac{y-0}{x-0}=\frac{4-0}{-3-(0)}[/tex]
[tex]\begin{aligned}&\frac{y}{x}=\frac{4}{-3} \\&y=-\frac{3}{4} x\end{aligned}[/tex]
Therefore, D is the correct answer
Answer:
D. y=-3/4x
Step-by-step explanation:
because when doing slope, you have to remember that it goes y/x and the fact that this is a negative slope meaning that you count from point (0,0) to (4,-3), and the lines on the graph count by 2's, so you would be counting down 3 (because point (4,-3) is inbetween -2 and -4) and to the right 4. making the answer -3/4, and it is negative because it is a downward facing slope. oh, and the x is there because it is an ever changing variable (ever continuing)
The circumference of a circle is 14 cm. Find the radius of this circle
Answer:
r ≈ 2.23 cm
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
given C = 14 , then
2πr = 14 ( divide both sides by 2 )
πr = 7 ( divide both sides by π )
r = [tex]\frac{7}{\pi }[/tex] ≈ 2.23 cm ( to 2 dec. places )
Consider the following polynomial
Step-by-step explanation:
Degree is 6
Leading coefficient is 5
Constant term is 8
what is the area of a rectangle that has a length of 4.5 centimeters and width of 3.25 centimeters? use the formula A=l*w
Given the values for the length and width of the rectangle, area of the rectangle is 16.625 square centimeter.
What is a Rectangle?A rectangle simply a is a 2-dimentional shape in geometry with 2 equal opposite sides and 4 corners each at 90 degrees.
The area of a rectangle is;
A = Length × Width
A = L × W
Given the data in the question;
Length of the rectangle L = 4.5cmWidth of the rectangle W = 3.25cmArea A = ?To determine the area of the retcangle, we substitute our given values into the expression above.
A = L × W
A = 4.5cm × 3.25cm
A = 16.625cm²
Therefore, the area of the rectangle with the given length and width is 16.625cm².
Learn more about area of rectangle here: https://brainly.com/question/12019874
Quickly before the timer runs out
Answer:
47°
Step-by-step explanation:
sum of angles in triangle=180
x + 90 + 43 = 180
x = 180 - 90 - 43
= 47
Hope it helps:)
Tess owns a fudge shop in town. She made 3 pounds of fudge and cut it up into 12 equal-sized squares. Tess sells fudge for $2 per pound. A customer bought 5 squares of fudge. How much money did the customer spend?
the customer spent $13 if it's not 13 it's the closest answer too 13
Answer:
$0.85, or 85 cents.
Step-by-step explanation:
To find this, we first need to find out how much it costs for one square. We know it is $2 per pound, and there are twelve squares in each pound. So to find out how much one square costs, we need to divide $2 by 12. We get an answer that is never-ending when we solve this, so we will round to the hundredths place since we are working with money. What we get as a result is that one square costs $0.17.
Now we multiply the above number by five to find out how much the customer spent. This comes out to be $0.85. In total, the customer spent 85 cents for all five squares of the fudge.
!!!40 POINTS AND BRAINLIEST!!!ANSWER IT ONLY IF YOU KNOW THE ANSWER, MAKE SURE TO EXPLAIN!!!!
Select the correct answer.
Which statement is always true?
A.
A cross section parallel to the base of a right rectangular prism is a square.
B.
A cross section perpendicular to the base of a right rectangular prism is congruent to the base.
C.
A cross section parallel to the base of a right rectangular prism is congruent to the base.
D.
A cross section perpendicular to the base of a right rectangular prism has the same dimensions as the base.
Answer: C. A cross section parallel to the base of a right rectangular prism is congruent to the base.
Step-by-step explanation: Cross sections that are parallel to the base will give the shape of the base. That means that when you do a cross section that's parallel to the base, you're making a horizontal line that goes left to right that is the same as the base. Therefore, C is your answer.
Let me know if this is right! :)
3a^2 X b/c divided by (3ab)^2
Answer: 1/3cb
Step-by-step explanation:
i hope this helps
Answer:
[tex] {Answer \: is \: }\frac{1}{3bc} [/tex]
Step-by-step explanation:
[tex]Divide \: 3 {a}^{2} \times \frac{b}{c} = 3 {ab}^{2} [/tex]
[tex] \frac{3 {a}^{2} \cdot \frac{b}{c}}{{(3ab)}^{2} } \\ \frac{3 {a}^{2}{b }}{{(3ab)}^{2}c} \\ \frac{3 {a}^{2} b}{9 {a}^{2} {b}^{2}c } \\ \frac{\not3 {a}^{2} b}{\not9 {a}^{2} {b}^{2}c } \\ \frac{ {a}^{2} b}{3 {a}^{2} {b}^{2}c } \\ \frac{ \not{a}^{2} b}{3 \not{a}^{2} {b}^{2}c } \\ \frac{\not{b}}{3 \not{b}^{2}c } \\ \frac {1}{3bc}[/tex]
[tex] {Answer \: is \: }\frac{1}{3bc} [/tex]
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5. Jane invests $5,000 in a stock that loses 2% per year on average. Eqn:
Answer:
The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.
Step-by-step explanation:
please mark brainliest if you can thx <3
Answer:
5000(0.98)^x, with x being the amount of years
Please help me with this!
Answer: Solve this problem using the angle bisector theorem. This theorem states that when given a triangle with an angle bisector (line that cuts one of the angles in half, into two of the same angles), that angle bisector divides the opposite side into two segment proportional to the sides of the triangle
the mp of a radio is 20 percent more than its cp. the radio is sold to make the profit of 10 z. If the profit is Rs 80 , what is the mp?
Answer:
M.P. = [(100 + Gain%)/(100 – Discount%)] × C.P.
this really hard for me so if you could leave a explanation that would be great.
Answer: The answer is B and C.
Step-by-step explanation: Answer the main question and write down the answer then check each choice and see which one matches the answer you wrote down.
In the figure shown, what is the measure of angle x?
Triangle ABC has measure of angle BAC equal to 40 degrees and the measure of angle ABC is equal to 70 degrees. The side BC of the triangle is extended till D. The angle ACD is labeled as x.
100 degrees
110 degrees
120 degrees
140 degrees
➾Firstly, we will find the measure of [tex]\angle[/tex]ACB.
We know that,
Sum of all interior angles of a triangle = 180°.
[tex]\rightarrow[/tex][tex]\angle[/tex]BAC + [tex]\angle[/tex]ABC + [tex]\angle[/tex]ACB = 180°
[tex]\rightarrow[/tex] 40°+70°+[tex]\angle[/tex]ACB = 180°
[tex]\rightarrow[/tex] 110°+[tex]\angle[/tex]ACB = 180°
[tex]\rightarrow[/tex] [tex]\angle[/tex]ACB = 180°-110°
[tex]\rightarrow[/tex][tex]\angle[/tex]ACB = 70°
So, the measure of [tex]\angle[/tex]ACB = 70°.
➾ Side BC of the triangle is extended till D. So, we have to find the measure of [tex]\angle[/tex] ACD.
As we know that,
Sum of any two or more angles that lie on a straight line = 180°.
So, [tex]\sf\angle{ACB}[/tex]+[tex]\sf\angle{ACD}[/tex] = 180°
[tex]\rightarrow[/tex] 70° + [tex]\sf\angle{ACD}[/tex] = 180°
[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 180°-70°
[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 110°.
Therefore, measure of [tex]\sf\angle{ACD}[/tex] = 110°.
____________________________
Hope it helps you:)
FIND THE AREA OF THE FIGURE BELOW
Answer:
220 squared units
Step-by-step explanation:
first, find the area of the rectangle by multiplying 8 by 20. Then, fin the area of the triangle by multiplying 6 by 20 and then dividing the result by 2.
8*20=160
6*20=120
120/2=60
Finally, add them together and you get 220 units squared.
A baker mixes 8\frac{3}{4}8
4
3
cups of white flour with 2\frac{1}{2}2
2
1
cups of rye flour for a bread recipe.
How many cups of white flour does the baker mix for every 11 cup of rye flour?
Fractions are written as the ratio of two integers. 3 1/7 cups white flour will be needed for every 11 cup of rye flour
Ratio and proportionFractions are written as the ratio of two integers. If a baker mixes 8 3/4 cups of white flour with 2 1/2 cups of rye, the number of cups of rye needed for 1 cup ofwhile flour will be:
For 1 cup of flour = (2 1/2)/(8 3/4)
For 1 cup of flour = (5/2)/(35/4)
For 1 cup of flour = 5/2 * 4/35
For 1 cup of flour = 2/7 cups of rye
For 11 cups:
For 11 cup of rye flour = 11 * 2/7
11 cup of rye flour = 22/7=3 1/7 cups
Hence 3 1/7 cups white flour will be needed for every 11 cup of rye flour
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Researchers are studying two different designs of computer keyboards, J and K, to investigate the effectiveness of the design on the speed of data entry. The researchers believe there is a tendency for people entering data with keyboard J to have faster entry times compared with people entering data with keyboard K. Using the same set of data for entry, the researchers randomly assigned 5 people to keyboard J and 6 people to keyboard K and recorded the number of seconds each person took to enter the data.
The following dotplots show the observed entry times for the two keyboards.
Keyboard J - 160 180 280 300 200 220 240 260 Entry Time (seconds)
Keyboard K + 160 + 180 280 300 200 220 240 260 Entry Time (seconds)
Explain why it is not appropriate to conduct a two-sample t-test for the difference in population means.
It is not appropriate to conduct a two-sample t-test because there exists an outlier in both variables.
What is a two-sample t-test?
The two-sample t-test is used to determine if two population means are equal. The purpose of the test is to determine whether the difference between these two populations is statistically significant.
In this case, it is not appropriate to conduct a two-sample t-test because there exists an outlier in both variables. Therefore, it might be more appropriate to compare population medians instead of population means.
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Help! The question is in the image.
Answer:
it is on y axis so that the points are (0,4)&(0,8) on the horizontal angle & it will touch the x axis on (-8&2)
What should we added to -3/20 to get 2 9/20
Answer:
2.60
Step-by-step explanation:
This is a strange way to solve the problem, but it works for me.
1. Convert to decimals
-3/20 = -.15
2- 9/20 = 49/20 = 2.45
2. Solve
2.45 - (-.15)
2.45 + .15 = 2.60
Megan played 5 Sudoku games that were at medium
difficulty level. The mean completion time per game
was 5.9 minutes. She completed a sixth Sidoku game
in 2 minutes and 54 seconds. Which of the following
statements must be true about the changes between
Megan's completion times for the 6 games and her
completion times for the 5 games?
A) The mode of the 6 completion times decreased.
B) The median of the 6 completion times remained
the same.
C) The mean completion time per game for the
6 games increased by 2.9 minutes.
D) The mean completion time per game for the
6 games decreased by 30 seconds.
Which expressions are polynomials?
Select each correct answer.
Answer:
b and d option are correct
Answer:
B, D
Step-by-step explanation:
B, D
x cannot be in a root. (A)
x cannot be in the denominator. (C)
80 wpm how many words typed while typing 12 hours straight
Answer:
57600 words in 12 hours.
Step-by-step explanation:
80 wpm means 80 words per minute.
We need to know how many minutes are in a 1 hour which is 1 hour is 60 minutes.
We want to know how much words in 12 hours.
Given:
[tex]\frac{80 word}{1 min}, \frac{60 min}{1 hour},\frac{12 hour}{1}[/tex]
[tex]\frac{80 word}{1 min} *\frac{60 min}{1 hour} *\frac{12 hour}{1} =[/tex] 57600 words in 12 hours.
Answer: 57,600
Step-by-step explanation:
80 × 60 = 4800 in 1hr
4800 ×12 = 57, 600 in 12hrs
My sister needs help again quick
mistake: the storm trooper used the wrong order of solving the problem, you first do × and : and then + and -
correct answer:
6×7-16:4
= 42-4
= 38
If the smaller pyramid has a surface area of 25.49 ft2, what is the surface area of the larger pyramid? round to the nearest hundredth. ft2
The surface area of the larger pyramid is 159.21 ft²
How to determine the surface area of the larger pyramid?The surface area of the small pyramid is given as:
A = 25.49 ft²
The corresponding sides of the pyramids are:
Small = 6; Large = 15
The surface area of the large pyramid is then calculated using:
Area = A * (Large/Small)²
This gives
Area = 25.49 * (15/6)²
Evaluate
Area = 159.21
Hence, the surface area of the larger pyramid is 159.21 ft²
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Answer:
159.31
Step-by-step explanation:
Right on Edge
Hello! How to sketch the graph?
Answer:
Draw your y and x axis , the y axis is going to be a vertical line while the x axis is going to be a horizontal line
1.(07.01 LC)
What is the value of x in the equation -6 + x = -4? (1 point)
-10
-2
10
In order to find the value of x, we should add 6 to both sides:-
-6+x=-4
x=-4+6
x=2
Hence, the value of x is 2.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
How do you know if an equation of a line is a vertical line?
Answer:
similarly,on the graph in vertical line,x only takes value.thus, the equation for a vertical line is x=a,where is a value that x takes.