The 7th term of the geometric sequence is 3675/64.
A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a constant called the common ratio.
The 7th term of a geometric sequence can be found using the formula:
a_n = a_1 * (r)^(n-1) where a_1 is the first term of the sequence, r is the common ratio, and n is the position of the term in the sequence.
Given that the common ratio is 3/2 and the first term is 5, we can substitute these values into the formula:
a_7 = 5 * (3/2)^(7-1)
After solving the expression we get:
a_7 = 5 * (3/2)^6 = 5* (243/64) = 15*243/64 = 3675/64
So the 7th term of the geometric sequence is 3675/64.
Therefore, the 7th term of the geometric sequence is 3675/64.
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find the value of X.
L,M∈KN
An anchor cable supports a vertical utility pole forming a 51 degree angle with the ground. The cable is attached to the top of the pole. If the distance from the base of the
pole to the base of the cable is 5 meters, how tall is the pole? (Round to the nearest hundredth.) PLS HELP
The height of the pole anchored to a cable is 6.17 meters.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, The anchor cable is forming an angle of 51° angle with the ground attached to a pole and the distance between them is 5 meters.
So, We need height or the opposite side length with an adjacent length of 5 meters.
We know, tan = opposite/adjacent.
tan51° = opposite/5.
opposite = tan51°×5.
opposite = 1.235×5.
opposite = 6.17 meters.
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1. Which expression is equivalent to 8 - 3?
A 1 x 5
B 3-8
C 8-5
ANSWER QUICK PLZZ NO WEBSITE
Answer:
B I am guessing, not that good at english, though
Find the area of the trapezoid below to the nearest tenth.
Answer:
Area of trapezoid = 67.6 square units
Step-by-step explanation:
Area of a trapezoid is given by the expression,
Area of the trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides of the given trapezoid.
And '[tex]h[/tex]' = Height between the parallel sides
From the given triangle ABE,
m(∠ABE) = m(∠ABC) - m(∠EBC)
m(∠ABE) = 120° - 90°
= 30°
By applying cosine rule in the given triangle,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{BE}{AB}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{BE}{6}[/tex]
BE = [tex]3\sqrt{3}[/tex] units
By applying sine rule in ΔABE,
sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{AE}{AB}[/tex]
[tex]\frac{1}{2}=\frac{AE}{6}[/tex]
AE = 3 units
Length of [tex]b_1=BC=10[/tex]
Length of [tex]b_2=AD=(AE+EF+FD)[/tex] [AE = FD, since given trapezoid ABCD is an isosceles trapezoid]
[tex]b_2=3+10+3[/tex]
[tex]b_2=16[/tex]
Height between the parallel sides [tex]h=3\sqrt{3}[/tex]
Area of the trapezoid = [tex]\frac{1}{2}(BC+AD)BE[/tex]
= [tex]\frac{1}{2}(10+16)(3\sqrt{3})[/tex]
= [tex]39\sqrt{3}[/tex]
= 67.6 square units
What must be added to 3x^3+x^2-22x+9 so that the result is exactly divisible by 3x^2+7x-6.
Answer:
Step-by-step explanation:
wich holds less capacity 5 gallons or 20 cups
Answer:
20 cups holds less
Step-by-step explanation:
image you have 5 gallons and 20 cups you could see the diffrence between the 2.
PLEASE HELP I WILL GAVE A BRAINLY Will you guys show me how to make a graph that shows the relationship between height and years. All the other info is filled out so please use that. Thank you for helping!!!
Answer:
Conclusion: Straight line upwards from point (0,3) to (3, 5.25)
Step-by-step explanation:
Your part (a) answer is absolutely correct.
Equation is y = 3/4x + 3
For part (b), you are correct to say that the y-intercept of the graph is 3. The implication is that the initial height of the tree is 3 feet tall. (When the tree just starts to grow at time = 0 years)
Your part (c) answer is absolutely correct as well.
For the graph part,
x = years (independent variable)
y = height (dependent variable)
From the equation you have constructed in part (a), the y-intercept of the graph is 3. Hence, a point (0, 3) can be first plotted in the graph.
Secondly, for part (c), you have also obtained the answer (3, 5.25). Plot that point on the graph as well.
Next, we can see that the graph in (a) is a linear graph in the form y = mx + c, where m is the gradient and c is the y-intercept.
Hence, you can easily draw a straight line upwards from (0,3) to (3,5.25) . It is expected as the gradient of the graph is 3/4, which is a positive number.
what is 1,023 - 1,150 please work it out for me
Answer:
1,023-1,150= -127
Step-by-step explanation:
Answer:
-127
Step-by-step explanation:
Quick
Check
Match the scenario to the probability of it occurring.
1/6
rolling a 3 on a number cube
1/3
flipping a coin to get tails up
spinning blue on a spinner with four
different colors in four equal parts
1/4
pulling a white marble froma bag of 2
white marbles and 4 red marbles
1/2
Answer:
1/6 ; 1/2 ; 1/4 ; 1/3
Step-by-step explanation:
Rolling 3 on a number cube ;
Required =1 ; number if faces on a number cube = 6
P = 1/6
Flipping a coin to get tail up = 1/2
Number of faces on a coin = 2
P = 1 / 2
spinning blue on a spinner with four different colors in four equal parts = 1/4
Total possible outcomes = 4
P = 1 / 4
pulling a white marble froma bag of 2 white marbles and 4 red marbles
Total number of marbles = (2 + 4) = 6
Number of white marbles = 2
P = 2 / 6 = 1 /3
2 miles equals how many feet?
Answer:
10560 feet.
Step-by-step explanation:
its not that i want to kill her is just i dont want her to be alive :)
Answer: Such a feeling sure is conflicting. You don't want her alife but dead but at the same time you don't want to be the one committing the murder. My sympathies.
Alex, beverly and carl live on the ame traight road. Alex live 12 mile from berverly and carl 4 mie from berve,y, how far doe alex live from carl?
If we assume that Cal lives between Beverly and Alex: so the distance between the two of them is 11-4 = 7 miles.
What is the number line and why is it used?Number line is a line contain every real numbers which includes all rational and irrational number. Generally we use it for determining ranges of a set. Using number line we can understand range and domain of function easily. A number line is a picture representation of real numbers evenly laid out on a straight line.
How far is from 0 on a number line?The distance from zero of a positive number r is simply r. But if r is negative, then we make a positive number by multiplying by -1, in other words -r is the distance in that case.
There is a standard mathematical function that does this, called the modulus function.
And whether r is positive or negative we write it like this |r|
So for example |100|=100 and |-100|=100 as well.
Alex is 11 miles away, and Cal is 4 miles away, so the distance between the two of them is 11-4 = 7 miles.
If we assume that Cal lives on the opposite side of Beverly from Alex:
Alex is 11 miles away from Beverly, and Cal is 4 miles away from Beverly in the opposite direction from Alex, so the distance between Alex and Cal is 11 + 4 = 15 miles.
The easiest way to see this is by creating a number line.
(for the first possible solution) If you put Beverly as a point, let's call it 0, then we would put Alex at 11 and Cal at 4, and the distance between them is 7.
(for the second possible solution) If you put Beverly as a point, 0, then we would put Alex at 11 and Cal at -4, and the distance between them is 15.
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Mona's new bicycle weighs 1812 pounds.
Weight Equivalent
1 kg = 2.2 pounds
Using the table above, about how many kg does her bike weigh?
A
8
B
16
C
41
D
84
answer
B.16PO _^^ PLSPLS52 > 43 + w
is it a solution?
7 yes or no
4 yes or no
13 yes or no
9 yes or no
answer with a yes or no for EACH one
HELP
Answer:
7 - Yes
4 - Yes
13 - No
9 - No
Step-by-step explanation:
43 + 7 = 50
52 > 50
43 + 4 = 47
52 > 47
43 + 13 = 56
56 is not less than 52
43 + 9 = 52
52 = 52
Answer:
Substitute the numbers for w
Step-by-step explanation:
help me please i need short answer :)
Answer:
they are on opposite sides whick makes them in the opposite
12x - 2/3 = 83 1/3
Can you please help me solve to find X?
let's firstly convert the mixed fraction to an improper fraction, and then let's multiply both sides by the LCD of all denominators
[tex]\stackrel{mixed}{83\frac{1}{3}}\implies \cfrac{83\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{250}{3}} \\\\[-0.35em] ~\dotfill\\\\ 12x-\cfrac{2}{3}=\cfrac{250}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( 12x-\cfrac{2}{3} \right)=3\left( \cfrac{250}{3} \right)}\implies 36x-2=250 \\\\\\ 36x=252\implies x=\cfrac{252}{36}\implies x=7[/tex]
A geometric sequence is shown.
Fill in the missing terms for the geometric sequence.
What is the common ratio for this geometric sequence?
......... ,-11, 22, ....... , 88, -176.
Common ratio:........
The common ratio for the given sequence is -2.
Any term in the provided geometric sequence can be divided by the term before it to determine the common ratio.
For instance, the ratio obtained by dividing 22 by -11 is 2, the ratio obtained by dividing 88 by 22 is 4, and so on. This approach allows us to determine that the general ratio is -2. This indicates that the previous term is multiplied by -2 to produce each word in the sequence.To put it another way, the sequence begins with -11, and each term after that is acquired by multiplying the previous term by -2. Therefore, -11 x (-2) = 22 would be the following number, followed by 22 x (-2) = -44, and so on.So the common ratio of the given sequence is -2.
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what is the area of the composite figure shown?
Answer:
under the figure 16in
Answers
Step-by-step explanation:
You add all of them
HELP ME ASAP HELP ME ASAP HELP ME ASAP
Answer:
First, plot the y-intercept. The y-intercept is 1, so plot the point (0,1).
Then go up 2 points and to the right 3 points and plot a point there. (3,3)
We go to the right because the slope is positive.
Draw a line through the two points.
Step-by-step explanation:
y = mx+b
m = slope
b = y-intercept
help please thank you no links! ^^
Answer:
x = 31
y = 59
Step-by-step explanation:
90 - 59 = x
x = 31
31 + y = 90
90 - 31 = y
y = 59
Have a nice day!
100 Points!!!!!!!!!
Which of the vectors a =(1,2), b=(0,1), c=(-2,-4) ,u=(-2,1),v=(2,4),w=(-6,3) are: In the same direction?
Which of the vectors a =(1,2), b=(0,1), c=(-2,-4) ,u=(-2,1),v=(2,4),w=(-6,3) are: In opposite directions?
Which of the vectors a =(1,2), b=(0,1), c=(-2,-4) ,u=(-2,1),v=(2,4),w=(-6,3) are: Orthogonal?
Answer:
its u=(-2,1)
Step-by-step explanation:
The two lines below intersect as shown What is the value of x?
line one (2r + 29)
line two (9x-13)
Answer:
x = 6
Step-by-step explanation:
because we know the lines intersect we also know the 2 angles are vertical meaning they are equal to each other
Knowing the angles are equal to each other you can make the equation
2x + 29 = 9x - 13
then you solve for x in this equation
2x + 29 = 9x - 13
(subtract 2x from both sides)
29 = 7x - 13
(add 13 to both sides)
42 = 7x
(divide by 7 on both sides)
6 = x
x = 6
Daily Question 8/4/20: Cities A, B, C, D, and E are connected by roads AB, AD, AE, BC, BD, CD, and DE (see figure). How many different routes are there from A to B that use each road exactly once?
Geometrically there are 16 different routes from A to B that use each road exactly once.
What is geometry?
The area of mathematics known as geometry is concerned with the dimensions, sizes, forms, and angles of a wide range of everyday objects. Geometry comes from the Ancient Greek terms "geo" and "metron," which both imply "measuring."
Keep in mind that cities C and E can be excluded from the count of paths because there is only one road that can lead out of either city if a path enters it. The geometric diagram is shown below.
Now move on to the casework. It's important to keep in mind that there are two routes from A to D, D to A, B to D, and D to B.
Case 1: A⇒D: If the path from D leads back to A, the subsequent path must go to B⇒D⇒B. The path ADABDB has 2×1×2=4 possible outcomes. The path must continue with either BDAB or BADB if it leads from B to D. There are 8 possibilities as 2×2×2=8. Therefore, there are 4+8=12 potential outcomes in this scenario.
Case 2: A⇒B: BDADB must be the next step on the path. There are 2×2=4 options in this situation.
Combining the two situations results in 12+4=16.
Therefore, there are 16 different routes.
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The lengths of leaves on a tree are normally distributed with a mean of 5.9 centimeters and a standard deviation of 0.8 centimeters.
What is length of a leaf on the tree with a z-score of 0.3?
Enter your answer, rounded to the nearest tenth.
cm =
Answer:
6.14 cm
Step-by-step explanation:
[tex]z=\frac{x-\mu}{\sigma}\\\\0.3=\frac{x-5.9}{0.8}\\\\(0.3)(0.8)=x-5.9\\\\0.24+5.9=x\\\\6.14=x[/tex]
You use a technical support company for your computer. The company bills you at a rate of $10 per month and $35 per hour for phone support.
a. Identify the fixed cost (the constant).
b. Identify the independent variable (x).
c. Identify the dependent variable (y).
d. Write an equation that describes the situation above.
e. If you were billed $97.50 for last month, how many hours of phone support did you need? Show all work.
Answer:fixed cost=10
Independent variable=months paid
Dependent=hours on support
month=x,h=hour,10x+35h=total cost
97.50=10+35h
87.50=35h
h=2.5 hours
Step-by-step explanation:
showed work
30 POINTS!!!
If the measurements for a living room were 5 1/2 by 3 ft. If the scale is 1/2 ft = 2 1/2 meters. If carpet cost 1.50 per square foot, how much will it cost to cover the living room floor?
Answer:
fvbbbbb
Step-by-step explanation:
Hint: your answer will be a fraction or decimal. ex: 3/5 or 0.6 *
Find the probability that a point chosen at random on the part of the number line shown will lie
between points B and C.
On solving the provided question we can say that - the probability of the event will be there are two red sides, thus multiplying 16.6667 by two results in 33.3333%.
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
Each side would be 50%, and if one side were divided among three people, it would equal 16.6667 per person.
Given that there are two red sides, you can multiply 16.6667 by 2 to get 33.3333%.
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F(x) = 3x -4 find each value of F(0)
Answer:
Step-by-step explanation:
Rewrite the function as an equation.
y
=
3
x
−
4
Use the slope-intercept form to find the slope and y-intercept.
Tap for fewer steps...
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
3
b
=
−
4
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
3
y-intercept:
(
0
,
−
4
)
If mn = 16 and m^2 + n^2 = 68 then (m+n)^2 =
A. 68
B. 100
C. 84
D. Can’t be determined
Answer:
B. 100
Step-by-step explanation:
(m + n)^2
= m^2 + 2mn + n^2
Rearrange
(m^2 + n^2) + 2mn
Substitute
(68) + 2*16
= 68 + 32
= 100
The frequency distribution of birthweights in human infants is bell shaped with most birthweights in the middle of the range. What type of selection does this demonstrate
On solving the provided question, we can say that stabilizing selection type of selection does this demonstrate is shown by frequency distribution.
what is frequency distribution?In order to make the information easier to understand, frequencies are organized into frequency distributions, which are visual displays. The frequencies displayed in a frequency distribution can be absolute or relative, like ratios or percentages. Both a graph and a table of frequencies can be used to represent a frequency distribution. Both the exact number of observations and the proportion of observations falling within each range can be displayed in a frequency distribution. A relative frequency distribution is the name given to the distribution in the latter scenario. The frequency of an observation is the frequency with which it appears in the data. The frequency of the number 9 in the following list of numbers, for instance, is 5. (because it occurs 5 times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9,
stabilizing selection type of selection does this demonstrate is shown by frequency distribution.
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Complete question: The frequency distribution of birthweights in human infants is bell shaped with most birthweights in the middle of the range of birthweights. What type of selection does this exemplify?