Answer: Please see explanation column for answer
Step-by-step explanation:
According to sequence 2, 6, 18, 54, 162
--we can see that it is a geometric sequence since to go from one term to the next requires us to multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.
ie term 2/ term 1= 6/2 = 3
term 3/ term 2= 18/6= 3
term 4/ term 3= 54/28= 3
term 5 / term 4= 162/54=3
term 6 will therefore be 162 x3 = 486
and term 7 = 486 x 3=1,458 and so on
Recall that nth term of GP is
Tn = ar^n-1
Where a= first term
r= common ratio
n= term
such that to easily find particular term, we plug in the values and calculate
for example the 10th term of the above sequence
Tn = ar^n-1
= 2 X 3 ^(10-1)
2 X 3^9
T10 =39,366
Please, I need help with this
Addison and Bert are in the same reading group at school. The book they're reading right now is 256 pages long. Addison has read 102 pages so far and decides to read 16 pages every day until she finishes the book. Bert has read 142 pages, and he plans to read 11 pages every day. How many days will it be until Addison and Bert have each read the same number of pages in total? How many pages will they each have read?
Answer: The answer in this photo thanks for a little quiz
The number of day it will be until Addison and Bert each have read the same number of pages in total is 8 days.
What is an equation?In mathematics, an equation is a statement of equality between two expressions, indicated by the equals sign (=). Solutions to equations are the values for unknowns which, when substituted into the expression, make it true.
Given that, the book they're reading right now is 256 pages long.
Let the number of days be x.
Addison has read 102 pages so far and decides to read 16 pages every day until she finishes the book.
102+16x -------(i)
Bert has read 142 pages, and he plans to read 11 pages every day.
142+11x -------(ii)
Addison and Bert have each read the same number of pages in total.
So, (i)=(ii)
102+16x=142+11x
16x-11x=142-102
5x=40
x=8
Hence, the number of day it will be until Addison and Bert each have read the same number of pages in total is 8 days.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ3
#4 Find angles 1, 2, 3 A SO 13 2 A) 90, 40, 50 B) 90, 50, 40 C) 90, 50, 90 D) 90, 40, 90
Answer:
HI UR CUTE
Step-by-step explanation:
I JUST FARTED
Bill bowled 3 games at a bowling alley and rented shoes, spending a total of $9.00. LeAnn bowled 5 games at the bowling alley and rented shoes,
spending a total of $14.00. How much does it cost to bowl a game?
A. $2.50
B. $2.80
C. $1.50
D. $3.00
Please help!!!
I need help with this one too
Answer:
3.00
Step-by-step explanation:
Calculate the value of the sample variance. Round your answer to one decimal place. 9_5,9_5,2,9_5
Answer:
[tex]s^2 = 0.01[/tex]
Step-by-step explanation:
Given
Values: 9/5, 9/5, 2, 9/5
Required
Calculate the sample variance
Sample variance is calculated using:
[tex]s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}[/tex]
First, we calculate the mean
[tex]\overline x = \frac{\sum x}{n}[/tex]
[tex]\overline x = \frac{9/5 + 9/5 + 2 + 9/5}{4}[/tex]
[tex]\overline x = \frac{7.4}{4}[/tex]
[tex]\overline x = 1.85[/tex]
[tex]s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}[/tex] becomes
[tex]s^2 = \frac{(9/5 - 1.85)^2+(9/5 - 1.85)^2+(2 - 1.85)^2+(9/5 - 1.85)^2}{4 - 1}[/tex]
[tex]s^2 = \frac{(-0.05)^2+(-0.05)^2+(0.15)^2+(-0.05)^2}{4 - 1}[/tex]
[tex]s^2 = \frac{0.0025+0.0025+0.0225+0.0025}{3}[/tex]
[tex]s^2 = \frac{0.03}{3}[/tex]
[tex]s^2 = 0.01[/tex]
Hence, the variance is 0.01
An isosceles triangle has an angle that measures 56º. Which other angles could be in that
isosceles triangle? Choose all that apply.
HELP PLEASE I NEED THIS
Answer:
The other angles can be 56°, 68°, or 62°.
Step-by-step explanation:
If the 56° angle is one of the two congruent angles, then the remaining angles are 56° and 180-2(56) = 68°
If the is 56° Is not congruent to either of the other angles, then each of the remaining two angles is (180-56)/2 = 62°.
The other angles can be 56°, 68°, or 62°.
Last year, Bob's Market ordered 15 1 2 15 2 1 pounds of plums from a local orchard. This year, the market plans to order 1 1 4 1 4 1 times as many pounds of plums as were ordered last year. They want 2 5 5 2 of this order to be red plums. What is the total amount, in pounds, of red plums the market plans to order this year?
Answer: 7 3/4 pounds
Step-by-step explanation:
Here's the correct question:
Last year, Bob's Market ordered 15 1/2 pounds of plums from a local orchard. This year, the market plans to order 1 1/4 times as many pounds of plums as were ordered last year. They want 2/5 of this order to be red plums. What is the total amount, in pounds, of red plums the market plans to order this year?
The amount of pounds of plum that is ordered this year will be:
= 15 1/2 × 1 1/4
= 31/2 × 5/4
= 19 3/8
Since they want 2/5 to be red plums, the total amount of red plums will then be:
= 2/5 × 19 3/8
= 2/5 × 155/8
= 310/40
= 7 3/4 pounds
Gabriela 30 in of ribbon to make bows each bow uses 5 in of ribbon how many ribbons dose Gabriela make
Answer:
Gabriela Can Make 6 Bows.
Step-by-step explanation:
30 ÷ 5 = 6
So Gabriela Has Enough Ribbon To Make 6 Bows.
A fair charges an admission fee of 2 dollars for each person. Let a be the cost of admission (in dollars) for P people. Write an equation relating c to p.
Answer:
[tex]a = 2p[/tex]
Step-by-step explanation:
Given
[tex]Admission\ Fee = \$2[/tex] per person
Required
Represent as an equation
For 1 person, the admission fee is 2
For p people, the admission fee will be 2p.
Hence:
[tex]a = 2p[/tex]
10
14)
Which equation represents a proportional relationship?
1)
A)
3x
y =
4
3
B)
y =
C)
3x
y =
+ 1
D)
3
y =
+ 1
4x
Answer:
295275392
2864263924729
8639253925339
9739373027303
9283634828
293682537474(483
926338286328+
92632926282727
93739363825282
92362836273
9263935392628
9273926382639
926329638392
92639236926
92632863922
9273936
Write an equation in point-slope form of the line through the point (-1, 2) and with slope m= 2.
Answer: y-2=2(x+1)
Step-by-step explanation: You get the point slope formula and simply put in the information given
solve: |2x-1| ≥ 4x+3
Step-by-step explanation:
consider the sign as equals then
move 2x right side 3 on left
solve it
answer is 2
Question is: 2x - 1 >= 4x + 3
First, join the like terms together.
-> So 2x moves into 4x, meaning it becomes negative -2x on the other side.
-> The number 3 moves into the other side which also becomes negative.
Now the equation will look like this:
- 3 - 1 >= 4x - 2x
- 4 >= 2x
Put 2 on the other side with - 4, and it will divide (not plus or minus as 2 was combined with an unlike term).
It looks like this now:
- 4/2 >= x
- 2 >= x
This is the answer.
Tell how many Solutions y= 3x+ 2 y=-4x+5
Answer:
There are 4 solutions
Step-by-step explanation:
Solve it
- 9 + x = 11 x =___ help
Answer:
-0.9
Step-by-step explanation:
Answer:
x=-9/10 or -0.9
Step-by-step explanation:
You have to isolate the variable by dividing each side by factors that don't contain the variable. Hope this helped! :)
A steep mountain is inclined 74 degree to the horizontal and rises 3400 ft above the surrounding plain. A cable car is to be installed from a point 970 ft from the base to the top of the mountain. Find the shortest length of cable needed.
Answer:
3917m
Step-by-step explanation:
We are given that
[tex]\theta=74^{\circ}[/tex]
[tex]h=3400 ft[/tex]
We have to find the shortest length of cable needed.
Let Base=x
We know that
[tex]tan\theta=\frac{Perpendicular\;side}{Base}[/tex]
Using the formula
[tex]tan74^{\circ}=\frac{3400}{x}[/tex]
[tex]x=\frac{3400}{tan74}=975m[/tex]
[tex]y=x+970=975+970=1945m[/tex]
Now, the length of cable needed
=[tex]\sqrt{(3400)^2+(1945)^2}[/tex]
=3917m
Hence, the shortest length of cable needed=3917m
BRAINLIEST FOR ANSWER PLEASE HURRY
Answer:
11.3
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2
8^2+8^2=128
the square root of 128 is 11.3137085
then you round to the nearest tenth and get 11.3
What, in degrees, is the measure of the largest angle in $\triangle PQR?$
Answer:
108 degrees
Step-by-step explanation:
3x+x+6x=10x, 180/10=18 and 18x6 is 108
Pleaseeee help answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!
Answer:
The answer to the question is 540°
Step-by-step explanation:
The reason to the answer is:-
There is a formula which is (n - 2) × 180
n is the number of sides the shape has, and there is 5 sides so we subtract 5 - 2 = 3
Therefore, 3 × 180 = 540°
I hope this answer helps!
Answer:
540°
General Formulas and Concepts:
Math
CountingPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Sum of Angles: 180(n - 2)°Step-by-step explanation:
Step 1: Define
We have a polygon with 5 sides (a pentagon)
n = 5
Step 2: Find Sum
Substitute in n [Sum of Angles]: 180(5 - 2)°(Parenthesis) Subtract: 180(3)°Multiply: 540°Solving equations -3x + 7 = 28
Answer:
x = - 7
Step-by-step explanation:
Given
- 3x + 7 = 28 ( subtract 7 from both sides )
- 3x = 21 ( divide both sides by - 3 )
x = - 7
Answer: x = −7
Step-by-step explanation:
Step 1: Subtract 7 from both sides.
Step 2: Divide both sides by -3.
Final Answer: x = −7
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
please help me i will give brainliest:/
Answer:
i think its b tell me if im wrong!
Answer:
D.
Step-by-step explanation:
a.
Clare wrote the inequality - 12x +100 225, where x represent the amount Kiran
takes out each month. What does - 12x represent?
Answer:
THe answer is a
Step-by-step explanation:
the answer is a
Problem 5
A shoe store purchases a pair of shoes for $75
before a mark up is applied.
There is a 140% markup. After the markup, a 6%
sales tax is added.
What is the total after discount and tax?
Answer:
$78.9
Step-by-step explanation:
Given data
We are told that the store purchased the shoe before mark up, hence we only need to solve for the tax
tax= 6%
=6/100*75
=0.06*65
=$3.9
Hence the total is
=75+3.9
=$78.9
My uncle bought a second-hand truck for $25400 and spent $600 to repair it. What is the CP?
Answer:
buy a used better tuck with the 25400 inside of buying the truvk that is broke or thst you to repair
Step-by-step explanation:
jus buy the better truck.
Given: <B and <D are right angles;C is the midpoint of BD.
Prove:ΔABC =ΔEDC
Step-by-step explanation:
Statements Reasons
In [tex] \triangle ^{s} [/tex] ABC and EDC
1.[tex] \angle \: ABC = \angle \: CDF [ A ][/tex] Both are 90° [ Given }
2. BC = CD [ S ] C is the midpoint of BD [ Given ]
3. [tex] \angle \: BAC = \angle \: CED [ A ][/tex] Alternate angles
4. [tex] \triangle ABC \cong \triangle \: EDC \: [/tex] By AAS axiom
Hence Proved !
Hope I helped ! ツ
Have a wonderful day / night ! ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
hilda wants to makeva circular tablecloth for thew kids table at thanksgiving dinner. if the tablecloth must have a diameter of at least 5,5 feet, approximately how many square feet of material will hilda use?
Answer:
we get
Diameter of cloth,
= 36 inches + 6 inches + 6 inches
= 48 inches
Hence the rectangular shaped fabric should have atleast a length of 48 inches to cut out a perfect circle.
This is urgent I needed help.
When 3 times a number is increased by 4,
the answer is the same as when 12is
decreased by the number. Find the number.
Answer:
12
Step-by-step explanation:
Hope this helps! :D
Answer:The number, or
12 is the answer
Step-by-step explanation:3
x
+
4
=
5
x
−
20
3
x
+
4
−
3
x
+
20
=
5
x
−
20
−
3
x
+
20
24
=
2
x
24
2
=
2
x
2
x
=
12
math work pls help :)
Answer:
SAS (side-angle-side)
Step-by-step explanation:
In the given picture, it is shown that the triangles have two congruent sides, and one congruent angle between them. The congruent sides are shown by the lines on the sides. The congruent angle is shown by the box outlining the angle (technically a box outlining the angle demonstrates that the angle is a right angle, either way, it proves the congruency).
Quadrilateral EFGH is similar to quadrilateral IJKL. Find the measure of side JK. Round your answer to the nearest tenth.
Answer:
The answer is "31.888".
Step-by-step explanation:
If their respective angles become congruent or the side lengths get a constant relation, they realize that two quadrilaterals are similar
EFGH is similar to IJKL because of quadrilateral
[tex]\to \frac{FG}{JK} =\frac{GH}{KL}=\frac{HI}{LM}=\frac{FI}{JM}\\\\\to \frac{GH}{KL} =\frac{HI}{LM}\\\\\to \frac{7}{KL}= \frac{9}{41}\\\\\to KL=\frac{7 \times 41}{9}=31.888[/tex]
What is the other match?
Answer:
A
Step-by-step explanation:
Answer choices are
3/4.
2.
3.
4
Answer:
4
Step-by-step explanation:
You can determine the y-intercept by looking at the graph and see where the line intersects the y-axis at. Therefore, the y-intercept is 4
Answer:
I think maybe 3
In four basketball games, Kevin averaged 15.5 points per game. How many total points did Kevin score in the four games?
Answer:
3.875 points
Step-by-step explanation:
15.5/4=3.875