Answer:
f(n) = 2 × [tex]3^{n-1}[/tex]
Step-by-step explanation:
In order to write an explicit rule for a geometric function, you need to know the common ratio; you can find the common ratio by dividing two consecutive terms:
6 ÷ 2 = 3, 18 ÷ 6 = 3, 54 ÷ 18 = 3, etc..
Now you know the common ratio is 3. At this point you can write your explicit function following the rule f(n) = [1st term] × [common ratio]^(n-1):
f(n) = 2 × 3^(n-1)
Neptune is 4.5 billion kilometers from the
sun. Represent this number in scientific
notation
Answer:
4.5 x 10 ^9
Step-by-step explanation:
Answer:
4.5*10^9
Step-by-step explanation:
What is the 100th term in the sequence 11, 22, 33, 44, 55 …?
Its an arithmetic sequence. Here is the formula and process.
An= A1 + (n-1) d
An = the nth term in the sequence
A1 = 1st term
n = number of terms
d = common difference
An = A1 + (n-1) d
= 11 + (100-1) 11
= 11 + (99) 11
= 11 + 1,089
= 1,100
sana makatulongg study hard
The required 100th term in the sequence is given as 1100.
What is the 100th term in the sequences 11, 22, 33, 44, 55 … is to determine.
Arithmetic progression is the series of numbers that have common differences between preceding values.
Given sequence
11, 22, 33, 44, 55 …
Where first term ( a ) = 11 ;
common difference ( d ) = 11 - 22
= 11
The formula for the nth term of an Arithmetic progression is
a(nth) = a + ( n - 1 ) d
a (100th) = 11 + (100 - 1 )11
a (100th) = 11+ (99)11
= 11 + 1089
= 1100
The 100th term in an arithmetic sequence is 1100.
Thus, The required 100th term in the sequence is given as 1100.
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Find the value of X.
Can someone Please help me show my work for this its due in 5 minutes!! I'll give you brainlest!!!! IT HAS TO DUE WITH LINEAR EQUATIONS.
Answer:
b 80 more tickets
Step-by-step explanation:
5,000-1,000=4,000
4,000÷50=80
hope this helps
Kena calculates that she spends 15% of a school day in science class. If she spends 75 minutes in science class, how many minutes does Kena spend in school?
Answer:
Step-by-step explanation:
SHOW WORK!! PLS WORTH 30 POINTS !!!!
Answer:
7⁶
Step-by-step explanation:
7 • 7 • 7 • 7 • 7 • 7
7¹ • 7¹ • 7¹ • 7¹ • 7¹ • 7¹
7⁶
A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62' If the lighthouse is 30ft tall, how far away is the girl from the lighthouse? Please show
your work!
I need help plssss
Answer:
15.95 feets
Step-by-step explanation:
Given that:
Angle of elevation = 62°
Using trigonometric relation :
Tanθ = opposite / Adjacent
From the drawing attached :
Opposite = 30 feets
Distance between girl and lighthouse = d
Tan 62 = 30 / d
1.8807264 * d = 30
d = 30 / 1.8807264
d = 15.951283
d = 15.95 feets
Simplify 3 x n x p x 6
Answer:
18np
Step-by-step explanation:
3 × n × p × 6
18 × n × p
18n × p
18np
please follow meEvaluate f(a+4)
pls help me w this !
Please help meeeeeee!!!!! ill give BRAINLIEST
Answer:
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=6 is a straight line perpendicular to the y-axis at point (0,6) , which means that the range is a set of one value {6} .
WILL GIVE BRAINLIEST
Answer:
he right
Step-by-step explanation:
Alex sailed 2 kilometers on Saturday. Alex’s brother sailed 1 kilometer on Sunday. How many meters did they sail in all?
Answer:
3,000
Step-by-step explanation:
1 kilometer = 1,000 meters
So..
2,000 meters (2 kilometers) + 1,000 meters (1 kilometer) =3,000 meters
(If correct please mark brainliest)
Answer:
3000
Step-by-step explanation:
In triangle ABC, the measure of angle CAB is 80° and the measure of angle ABC is 45.5°. What is the measure of angle BCA in degrees? A 125.5°125.5 degrees B 54.5°54.5 degrees C 55.5°55.5 degrees D 64.5°
Answer:
B 54.5°
Step-by-step explanation:
Since we have a triangle,
CAB + ABC + BCA = 180 (sum of angles in a triangle)
Since CAB = 80° and ABC = 45.5°, substituting these into the equation, we have
80° + 45.5° + BCA = 180°
simplifying, we have
125.5° + BCA = 180°
collecting like terms, we have
BCA = 180° - 125.5°
BCA = 54.5°
So, the answer is B
how would u turn 11/25 into a decimal?
Answer:
you divide 11 by 25 and then round to the nearest hundredth
Step-by-step explanation:
11÷25= 0.44
A tree that is 45 feet long cast a shadow that is 80 feet long. Drake is 5.5 feet tall. How long is Drakes shadow?
PLEASE HELP IM GONNA FAIL WILL GIVE BRAINLESS
Answer:
i think its 876.8 Drakes shadow
Kareen says that (3 + 2) + 6 = 3 + (2 + 6). What property of addition is he using?
Answer: Im pretty sure thats associative property.
The neighbors have $18.57 to spend on strawberry plants. A 6-pack of plants costs $2. How many packs can they buy?
Answer:
9
Step-by-step explanation:
the answer is 9 because 18 $÷2 = 9
Answer:
9 packs
Step-by-step explanation:
18.57/2=9.285
Can't buy 1.285 one so we go back to 9 which is buyable with the money there is.
HELP ME WITH THIS PLEASE!!!
Answer:
The vertex is (4,-3)
Step-by-step explanation:
P.S. you got the 2nd last one wrong.
When x>4 y increases as x increases
A company hauls its 1 cubic foot boxes in the truck as shown.
How many boxes can this truck carry?
Answer:
96
Step-by-step explanation:
3*4*8=96
Answer:
96
Step-by-step explanation:
Help please I have like 20 minutes to complete this
Answer: b
Step-by-step explanation:
good luck... ur profile pick is hot
Which of the following is equivalent to? 19
An apple has a mass of 32.06 grams. What is the mass of the apple rounded to the nearest tenth of a gram?
32.1
Hope this helps! Have a nice life!a. Find the length of the midsegment of an equilateral triangle with side lengths of 12.5 cm.
b. Given that UT is the perpendicular bisector of line segment AB, where T is on AB, find the length of AT given AT = 3x + 6 and TB = 42 - x.
c. Given angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.
Answer:
a.the length of midsegment of an equilateral triangle with side lengths of 12.5 cm.=12.5/2=6.25cm
b.
sinceUT is the perpendicular bisector of line segment AB, where T is on AB, find the length of AT given AT = 3x + 6 and TB = 42 - x.
than AT=BT
3x+6=42-x
3x+x=42-6
x=36/4=9
AT=3×9+6=27+6=33
c.
since angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.
EH=GH
5y+10=28-y
6y=28-10
y=18/6=3
a. The length of the midsegment of an equilateral triangle is 6.25 cm
b. The length of AT is 33 units.
c. The value of y is 3.
What is an equilateral triangle?
"It is a triangle whose all sides are equal in length and all angles measure 60° "
What is perpendicular bisector?"It is a line that intersects another line perpendicularly and divides it into wo equal parts."
What is angle bisector?"It is a line that splits an angle into two equal angle."
What is an isosceles triangle?"It is a triangle that has two sides of equal length."
What is midsegment of the triangle?"It is the line segment connecting the midpoints of the two sides of a triangle."
What is midsegment formula?"midsegment = 0.5 × base of triangle"
a.
We have been given an equilateral triangle with side lengths of 12.5 cm.
We need to find the length of the midsegment of an equilateral triangle.
Using midsegment formula,
⇒ midsegment = 0.5 × 12.5
⇒ midsegment = 6.25 cm
Therefore, the length of the midsegment of an equilateral triangle is 6.25 cm
b.
UT is the perpendicular bisector of line segment AB, where T is on AB
We know that the perpendicular bisector divides the line segment into two equal parts.
⇒ AT = TB
⇒ 3x + 6 = 42 - x
⇒ 3x + x = 42 - 6
⇒ 4x = 36
⇒ x = 9
So, the length of AT would be,
⇒ AT = 3x + 6
⇒ AT = 3(9) + 6
⇒ AT = 33 units
Therefore, the length of AT is 33 units.
c.
An angle EFG has angle bisector FH, where EF = GF
From given data, we can say that for it must an isosceles triangle EFG with EF = GF and base is EG.
An angle EFG has angle bisector FH and point H is on the side EG.
We know that the angle bisector of isosceles triangle is also the perpendicular bisector of the base of an isosceles triangle.
⇒ EH = HG
⇒ 5y + 10 = 28 - y
⇒ 5y + y = 28 - 10
⇒ 6y = 18
⇒ y = 3
Therefore, the value of y is 3.
Learn more about the angle bisector and perpendicular bisector here:
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Find the circumference of the circle with a radius of 7
Answer:
43.96
Step-by-step explanation:
The radius is 7 inches. This'll mean the diameter is 14, and the circumference of a circle is pi * diameter. This'd be 3.14 * 14 = 43.96 inches :)
if the diameter of the semicircle is 6 in fid the area in terms of pi?
Answer:
i think the is 14.13.
Step-by-step explanation:
The model represents 3 ÷ 1/5
Which multiplication can you use to check the answer?
Three squares are shown. Each square is divided into 5 fifths.
A. 3 x 1/5= 3/5
B. 15 x 1/5 = 3
C. 15 x 3/5 = 9
D. 15 x 5/3 =25
Answer:
the answer is 2
Step-by-step explanation:
The equation which represent the three squares which is divided into the 5 fifths is,
[tex]15 \times \dfrac{1}{5} = 3[/tex]
What is a multiple of fraction?A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,
[tex]\dfrac{a}{b}[/tex]
Here (a) is the numerator and (b) is the denominator.
A multiple of a fraction is the number which is n times of the original function.
The model represents,
[tex]3 \div 1/5[/tex]
Here, the total number of square are given is 3. These three square are then divided into the one fifth.
Thus, we get total 3 times of 5 one fifth which is equal to the entire 3 squares
.
Thus, the equation can be written for this condition as,
[tex]15 \times \dfrac{1}{5} = 3[/tex]
Hence, the equation which represent the three squares which is divided into the 5 fifths is,
[tex]15 \times \dfrac{1}{5} = 3[/tex]
Option B is the correct option.
Learn more about the multiple of fraction here;
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Independent Practice
Are whole numbers, integers, or rational numbers the most reasonable for the situation?
a temperature in a news report
A.
integers
B.
whole numbers
C.
rational numbers
Answer:
I believe it is rational depending on the question of course
Answer: C. Rational Numbers
Step-by-step explanation:
Gradpoint.
Which is an example of a statistical question?
Questions
Question 1 How many pets does Alisha have at home?
Question 2 What is your favorite kind of pet?
Question 3 Do you like having a pet?
Question 4 What is Alisha’s pet’s name?
question 1
question 2
question 3
question 4
Answer: question 1
Step-by-step explanation:
You have 2 keep in mind what a statistical question is. A statistical question is a question that can be answered by collecting data. Only question 1 can be answered by collecting data on how many cats Alisha has.
Hope this helps :)
What is the point-slope of y+5=-7/4(x-4)
Slope: -7/4
Point/y-intercept: (0,2)
The graph shows the relationship between the distance in miles and the time in minutes Scott ran during a race .
Answer:
Step-by-step explanation:
Scott ran 1 mile in 8 minutes
The slope of the line is 8 which means Scott ran 8 miles in 1-minute option (B) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The graph of a line is shown in the picture
As we can see in the graph the line passes from the origin.
Two points are (40,5) and (0,0) on the line.
Using slope formula:
m = (y2-y2)/(x2-x1)
Slope of line = (40 miles)/(5 minutes) = 8 Mikes per minute
Thus, the slope of the line is 8 which means Scott ran 8 miles in 1-minute option (B) is correct.
The complete question is mentioned in the picture.
Learn more about the linear equation here:
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