Answer:
[tex] {10}^{th} \: term = \frac{5}{512} [/tex]
Step-by-step explanation:
geometric progression formula:
[tex] {n}^{th} \: term = ar ^{n - 1} [/tex]
given:
common ratio, r = 1/2
[tex]first \: term \: = 5[/tex]
1) find the value of a
[tex] {n}^{th} \: term \: = a {r}^{n - 1} [/tex]
we're finding the 1st term, so substitute 1 into n:
[tex] {1}^{st} \: term = a( \frac{1}{2} ) {}^{1 - 1} [/tex]
first term is 5. so we substitute 5 into the equation:
[tex]5 = a(1)[/tex]
[tex]a = 5[/tex]
2) find the 10th term
we're finding the 10th term, so substitute 10 into the equation and don't forget to substitute 5 into a:
[tex] {10}^{th} \: term = 5( \frac{1}{2} ) {}^{10 - 1} [/tex]
[tex] {10}^{th} \: term = 5( \frac{1}{512} )[/tex]
[tex] {10}^{th} \: term = \frac{5}{512} [/tex]
A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
?:(
Answer:
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
Step-by-step explanation:
According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:
[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)
If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:
[tex]x_{B} = 1.25\cdot (14)[/tex]
[tex]x_{B} = 17.5[/tex]
[tex]y_{B} = 0.75\cdot (21)[/tex]
[tex]y_{B} = 15.75[/tex]
From (2):
[tex]m = \frac{15.75-21}{17.5-14}[/tex]
[tex]m = -\frac{3}{2}[/tex]
By (1):
[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
PLEASE HELP ASAP!!!!
Answer:
y=7
Step-by-step explanation:
Since they are all congruent angles this means that the sides are equal too.
can someone please help me out with this.
What value does the digit 3 represent after 2,734 is multiplied by 1,000?
Answer:30,000
Step-by-step explanation:
2 5/6 years is how many months
Final Answer: 34 months
Steps/Reasons/Explanation:
Hey there! Each year is 12 months. We can see that 2 years is already given. 2 years × 12 months = 24 months.
For [tex]\frac{5}{6}[/tex] we will multiply it by two to find the remaining amount of months. [tex]\frac{5}{6}[/tex] × [tex]2[/tex] = [tex]\frac{10}{12}[/tex]. This means that there is an extra 10 months of a year remaining.
Now we have to add them up. 24 months + 10 months = 34 months.
~I hope I helped you :)~
f(2)=-2 and f(1)=1 write a linear function
Answer:
[tex]f(x) = -3x+4[/tex]
Step-by-step explanation:
We can use the form [tex]y=mx+b[/tex] to find the linear function.
From [tex]f(2)=-2[/tex] , we can write:
[tex]-2=2m+b[/tex]
From [tex]f(1)=1[/tex] , we can write:
[tex]1=m+b[/tex]
To find for [tex]m[/tex], we can substract the second equation from the first:
[tex]2m+b-(m+b) = -2-1[/tex]
[tex]2m+b-m-b=-3[/tex]
[tex]m=-3[/tex]
To find for [tex]b[/tex], we can use substitution:
[tex]1 = m+b[/tex]
[tex]1 = -3+b[/tex]
[tex]b=4[/tex]
∴ [tex]f(x) = -3x+4[/tex] is the linear function.
Hope this helps :)
Solve for z. 2z − 3 = 1
Answer:
z = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
2z - 3 = 1
Step 2: Solve for z
Add 3 on both sides: 2z = 4Divide 2 on both sides: z = 2Please help! 20 points and I’ll give Brainliest
Joe is tracking the progress of his plants growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day.
A. Write a linear model (equation) that represents the height of the plant after d days
B. What will the height of the plant be after 20 days
Answer:
A. y=1.5d+5
B. 35 cm high
Step-by-step explanation:
hope this helps
Oh so you like math name every digit in pi
did you mean name every flavor of pie
In the diagram below of triangle MNPMNP, QQ is a midpoint of \overline{MN}
MN
and RR is a midpoint of \overline{NP}
NP
. If QR=11-xQR=11−x, and MP=57-7xMP=57−7x, what is the measure of MPMP?
Answer:
Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.
The length of QR is 4x -11 and the length of MP is 9x - 29.
We need to determine the measure of MP.
Value of x:
The value of x can be determined using the triangle midsegment theore
Applying the theorem, we have;
Substituting the lengths, we get;
Subtracting both sides by 8x, we have;
Adding both sides of the equation by 29, we get;Thus, the value of x is 7.
Measure of MP:
The measure of MP can be determined by substituting x = 7 in the length of MP.
Thus, we have;
Thus, the measure of MP is 34.
Please explain easily or make sure you have the answer right
Answer:
D. 5:9
Because it's 5 sixth grade students and 9 seventh grade students so it asked you what is the ratio of sixth grade students to seventh grade students on the team.
GIVING BRAINLIEST AFTER TWO ANSWERS ARE GIVEN!!! WILL CHOOSE THE BEST ONE!!! ( the answer is either yes or no )
Answer:
No
Step-by-step explanation:
The first triangle slope is 12 [tex]\sqrt{37}[/tex] while the second one is 24[tex]\sqrt{37}[/tex] . In order to be on the same line both slopes have to be the same
which expression is undefined?
A.0 ÷ 5
B.(3 - 3)
_____
7
C. 8
_____
(-2+2)
D. (0 - 12)
_____
-6
Answer: C
Work: So, after you simplify that equation, it's 8/0. You Cannot divide zero like that. You can divide 0/8, but you can't with 8/0. I hope this wasn't to confusing, and Happy Holidays! :)
simplify each expression using the distributive property
9(-7q-6)
Answer:
-63q-54
Step-by-step explanation:
When using the distributive property, you multiply everything inside of the parentheses by the number outside of the parentheses.
9(-7q-6)
-63q-54
Hope this helps, and have a great day o(*￣▽￣*)ブ
Can somebody plz answer questions 13-18 correctly thank you!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST!!!! :DDD
Answer:
13. 20%
14.7%
15. 3.5%
16.45%
17. 84%
18. 68.5%
I need help with this question!
Answer:
1: 3 miles
2: 1 mile
Step-by-step explanation:
Bc+ad=b solve for a
Answer:
bc+ad=b
ad=b-bc
ad=b(1-c)
a=(b(1-c))/d
Answer:
Step-by-step explanation:
ad = b - Bc
a = (b - Bc)/d
Sharon makes bracelets and necklaces to sell at the school fair. She makes a total of 40 bracelets and necklaces. She makes 3 times as many bracelets as necklaces. Which system of equations can be used to determine how many bracelets, x, and how many necklaces, y, she m
Answer:
So, the system of equations are
x+y=40
x= 3 y
Step-by-step explanation:
Let's make system of equations for the given information.
Let x number of bracelets and y number of necklaces made.
So, for the information
She makes a total of 40 bracelets and necklaces, we can set up equation as
x+y=40
Now, for she makes 3 times as many bracelets as necklaces, we can set up equation as
x=3 y
Need help with 20-23 please. geometry
Answer:
20) 5X3=15 15h
21) 12X15=18 180
22) IDEK
23) IDEK
Step-by-step explanation:
What needs to be corrected in this construction of a line parallel to AB passing through c?
second arc (centered at E)
E
first arc (centered at D)
F
B
D
ОА
The first arc should pass through C
OB.
The first arc should be centered at C
Ос.
The second arc should be centered at C
OD
The second arc should cross the first arc
OE The second arc should be centered at F
Dacat
Next
Answer:
The second arc should be centered at C.
Step-by-step explanation:
edmentum answer :)
brainliest for the correct answer
Answer:
2250 m
Step-by-step explanation:
30 cm = 0.3 m
1 : 75 :: 0.3 : x
Product of extremes = product of means
1 *x = 75 * 0.30
x = 75 * 0.30
x = 22.5 m
Answer:
22.5 m
Step-by-step explanation:
Convert to meters
.3 / x = 1/75
multiply .3 by 75 to get 22.5 m
PLS AWNSER BEST AWNSER GET BRAINLIST.
I need a good grade on this final for my pc lol
Answer:
D
Step-by-step explanation:
help with question 1 plssssss
its answer comes in point
Step-by-step explanation:
3a+5a+12=90
8a=90-12
8a=78
a=78/8
a=9.75
if it is wrong than tell me plzzz
Someone please help and tell me what Y is with which X. I don’t understand this and need a good grade.
Use the line of symmetry to complete the table then graph f(x) = x^2+4x+2.
X -4, -3,-2,-1,0
y-
I need the answer for this, i have posted this multiple times
Answer:
1st staement, second option 2nd statement 3rd option, 3rd staement, 4th option, 4th statement, 1st option
Step-by-step explanation:
hope this is right!
6 3/4 divided by 4 1/2
Answer:
1.5 (1 1/2)
Step-by-step explanation:
This is a method I personally like to use when you can change the fractions to decimals easily.
6 3/4= 6.75 (3/4= 0.75)
4 1/2= 4.5
6.75/4.5= 1.5
The result when the fraction [tex]6\frac{3}{4}[/tex] is divided by the fraction [tex]4\frac{1}{2}[/tex] is [tex]1\frac{1}{2}[/tex].
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A fraction [tex]6\frac{3}{4}[/tex] is divided by the fraction [tex]4\frac{1}{2}[/tex].
Therefore, 27/4 is divided by 9/2 which is,
= (27/4)/(9/2).
= (27/4)×(2/9).
= 3/2 Or [tex]1\frac{1}{2}[/tex].
learn more about fractions here :
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I'm not really sure how to solve this:
5p + 5 ≤ -20
Answer:
p less than or equal to -5
Step-by-step explanation:
5p les than or equal to -20-5
5p less than or equal to -25
p less than or equal -5
As an estimation we are told £3 is €4. Convert £54.20 to euros.
Answer:
$40 in euros!
Step-by-step explanation:
Bill built a rectangular pen in his yard that measures feet by 6 feet. He wants to make another pen that is similar but not congruent to the one he built. Which these rectangles is similar?
PLEASE HELP!!! FOR 60 POINTS!! New York City has two airports (JFK and LGA). If you’re flying with United Airlines (UA) and your primary concern is to arrive on time, is it better to fly to JFK or to LGA?
Answer:
If you're heading into New York City, LaGuardia is the closest. It's just 8.6 miles from LaGuardia to Midtown Manhattan, compared to 14.7 miles from JFK and 16.6 miles from Newark.
Step-by-step explanation:
To assess if flying with United Airlines to LGA is better in terms of arriving on time, we would have to examine the on-time performance data for United Airlines flights at both airports.
What are United Airlines flights?United Airlines is a significant American airline that flies domestically as well as internationally. The airline provides a wide range of services, such as passenger transportation, cargo delivery, and vacation packages.
The US Department of Transportation tracks and distributes on-time performance information for airlines and airports on its website. We can assess whether airport has a higher on-time performance record for this carrier by examining statistics for United Airlines trips to LGA.
LGA are both important airports that serve the greater New York City area, and both can face delays and congestion. Arrive at the airport well in advance of the scheduled departure time and check with your airline for any changes.
Therefore, to assess if flying with United Airlines to LGA is better in terms of arriving on time, we would have to examine the on-time performance data for United Airlines flights at both airports.
Learn more about United Airlines flights, here:
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