Write a rule for the nth term of the geometric sequence for which a1=11 and a4=88
Answer:
[tex]a_{n}[/tex] = 11 [tex](2)^{n-1}[/tex]
Step-by-step explanation:
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
given a₁ = 11 and a₄ = 88 , then
11 r³ = 88 ( divide both sides by 8 )
r³ = 8 ( take cube root of both sides )
r = [tex]\sqrt[3]{8}[/tex] = 2 , then the nth term is
[tex]a_{n}[/tex] = 11 [tex](2)^{n-1}[/tex]
The community center organizers want to buy 600 hot dogs. What will the cost be if they purchased the packages with the best buy? The best buy is 50 for 12 dollars
Answer:
144
Step-by-step explanation:
do 5 into 600 and u get 12 have a good day!!!
Answer:
$144
Step-by-step explanation:
first, we need to divide 600 by 50, to get them organized for the best packages. 600/50 = 12.
then, we multiply that (the 12) by the cost ($12/ea) so 12*12 which is $144 if they use the bundling.
In need of help, please help before tomorrow
Answer:
D
Step-by-step explanation:
Express cos S as a fraction in simplest terms.
Answer:
cos S = 7/25
Step-by-step explanation:
cosine is the ratio of the side adjacent to angle S and the hypotenuse.
use the pythagorean Theorem to or a Pythagorean triple to find the third side of the triangle It is a 7-24-25 triple or
b²=c²-a²
b=√c²-a²
b=√625-196
b=√49=7
cos S = 7/25
What is the determinant of the coefficient matrix of the system?
Answer:
0Step-by-step explanation:
the explanation is in the picture
A rubber bouncy ball is dropped from a height
of 177.00 cm onto a hard flat floor. After each
bounce, the ball returns to a height that is 19%
less than the previous maximum height. What
is the maximum height reached after the 9th
bounce?
Answer:
0.0000571
Step-by-step explanation:
Height after 9th bounce = Initial height * (19/100)^9
= 177*(0.19)^9
= 0.00005711572
What is the lateral area of the prism? What is the surface area of the prism?
Answer:
Lateral surface area=perimeter×Height
Total surface area=Perimeter (p)×Height(h)+2×Area of cross section
A
xxx-coordinate of point AAA
(Choice B)
B
yyy-coordinate of point AAA
(Choice C)
C
xxx-coordinate of point BBB
(Choice D)
D
yyy-coordinate of point BBB
(Choice E)
E
xxx-coordinate of point CCC
(Choice F)
F
yyy-coordinate of point CC
The coordinate point of a point is the location (i.e. the x and y location) on the coordinate plane
The x-coordinate of point AFrom the complete question (see attachment), the coordinate of point A is:
A = (-4,1)
This means that the x-coordinate of point A is -4
The y-coordinate of point AIn (a), we have the coordinate of point A to be
A = (-4,1)
This means that the y-coordinate of point A is 1
The x-coordinate of point BFrom the complete question, the coordinate of point B is:
B = (3,-2)
This means that the x-coordinate of point B is 3
The y-coordinate of point BIn (c), we have the coordinate of point B to be
B = (3,-2)
This means that the y-coordinate of point B is -2
The x-coordinate of point CFrom the complete question, the x-coordinate of point C is the same as the x-coordinate of point A
Given that the x-coordinate of point A is -4
This means that the x-coordinate of point C is -4
The y-coordinate of point CFrom the complete question, the y-coordinate of point C is the same as the y-coordinate of point B
Given that the y-coordinate of point B is -2
This means that the y-coordinate of point C is -2
#SPJ1
Read more about coordinate points at:
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If you borrow $500 at 5% for two years, how much will you pay backboy the end of the term?
Interest be I
I=PRT/100I=500(5)(2)/100I=5²(2)I=25(2)I=$50Total:-
P+I500+50$550Hakeem buys a two-gallon bottle of juice for $25.60. What is the unit rate of the cost
of the juice per fluid ounce?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup=8 fluid ounces
-
Before you try that problem, answer the question below.
How many fluid ounces of juice did Hakeem buy?
try
Answer:
256 fluid ounces
Step-by-step explanation:
2 gallons = 8 quarts
8 quarts = 18 pints
18 pints = 32 cups
32 cups = 256 fluid ounces
1 gallon = 4 quarts x 2 that's 2 gallons = 8 quarts
1 quarts = 2 pints x 8 that's 8 quarts = 16 pints
1 pints = 2 cups x 16 that's 16 pints = 32 cups
1 cup = 8 fluid ounces x 32 that's 32 cups = 256 fluid ounces
please help im so confused (need asap)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \tt \dashrightarrow \:10 {x}^{2} - 25x + 15 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:5(2x {}^{2} - 5x + 3) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:2x {}^{2} - 5x + 3 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:2x {}^{2} - 3x - 2x + 3 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:x(2x - 3) - 1(2x - 3) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:(x - 1)(2x - 3) = 0[/tex]
Therefore, the required factors are ~ (x - 1) and (2x - 3)
So, correct choice is B
Sorry if the photo is bad :)
So, before solving further, let's recall that, a deck of card have 52 cards, with 26 black cards, and 26 red cards, out of which, let's first consider red cards,so 13 of 26 are heart, and the other 13 out of 26 is diamond, now let's consider the black cards, so 13 of 26 black cards are spades and the other 13 out of 26 black cards are clubs, every type have an ace card, and 9 cards numbering from 2-10 and three face cards naming, queen, king and Jack. And the probability of any event is defined as the ratio of no. of favourable outcomes to Total no. of possible outcomes, so let's stary solving all the parts one by one :
7) [tex]{:\implies \quad \sf P(Red\:\:card)=\dfrac{26}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Red\:\:card)=\dfrac12}}}[/tex]
8) [tex]{:\implies \quad \sf P(Jack\:\:of\:\:diamonds)=\dfrac{1}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Jack\:\:of\:\:diamonds)=\dfrac{1}{52}}}}[/tex]
9) [tex]{:\implies \quad \sf P(Ace)=\dfrac{4}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Ace)=\dfrac{1}{13}}}}[/tex]
10) [tex]{:\implies \quad \sf P(A\:\:black\:\:10)=\dfrac{2}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(A\:\:black\:\:10)=\dfrac{1}{26}}}}[/tex]
11) [tex]{:\implies \quad \sf P(A\:\:heart)=\dfrac{13}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(A\:\:heart)=\dfrac14}}}[/tex]
12) [tex]{:\implies \quad \sf P(Not\:\:a\:\:club)=\dfrac{39}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Not\:\:a\:\:club)=\dfrac34}}}[/tex]
what is the solution to the exponential equation 8x = 1/4
Divide each term in
8x=1/4 by 8 and simplify.
Exact Form: x=1/32
Decimal Form: x=0.03125
[tex]~~~8^x = \dfrac 14\\\\\implies 2^{3x} = 2^{-2}\\\\\implies 3x = -2 \\\\\implies x = -\dfrac 23[/tex]
Sadie is saving for a new car. Below is the total amount of money in her savings account on the last day of each month. Show all steps to find the mean amount of money Sadie saves each month. Round your answers to the nearest cent.
7 The scouts are collecting canned food to donate to the food bank. Their goal is to
collect 550 cans of food. By the end of the first hour, they had collected 13 bags with
16 cans of food in each bag. By the end of the second hour, they had collected 12
more bags with 15 cans of food in each bag. How many more cans of food do they
need to collect to meet their goal of 550? Show all your work.
The scouts need to collect
more cans of food to meet their goal of 550.
Answer:
162 Cans more to reach goal of 550 cans.
Step-by-step explanation:
See attached image for the calculations
Consider the following regular octagon below
Answer:
The answer is given in the picture
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
The formula for interior angle of any polygon is (n-2) x 180 / n where n is the number of sides.
An octagon has 8 sides:
Part A.
interior angle = (8-2) x 180 /8
Interior angle = 135 degrees
Part B.
3x -57 = 135
Add 57 to both sides:
3x = 192
Divide both sides by 3:
X = 64
HELP NEEDED NOW/ASAP PLS NO LINKS AND NO JOCKING.
AND PLS SHOW UR WORK IF POSSIBLE
evaluate (-3 1/3)^2
[tex]\\ \rm\Rrightarrow (-3\dfrac{1}{3})^2[/tex]
[tex]\\ \rm\Rrightarrow (\dfrac{-10}{3})^2[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{(-10)^2}{3^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{100}{9}[/tex]
[tex]\\ \rm\Rrightarrow 11\dfrac{1}{9}[/tex]
Answer:
100/9 (or) 11 1/9
Step-by-step explanation:
Q) (-3 1/3)² = ?
→ (-3 1/3)²
→ (-10/3)²
→ 100/9
→ [ 11 1/9 ]
Hence, the solution is 11 1/9.
Select the correct answer from each drop-down menu.
When a figure is translated, its orlentation
and the measures of its angles
Answer:
Not sure wha the options are, but is it "When a figure is translated, its orientation changes and the measure of its angles stays the same"
there isnt the word bank because you did not take a photo with the dropdown menu
Solve this equation. Enter your answer in the box.
-24 + 12d= 2(d-3)+22
[tex]-24 + 12d= 2(d-3)+22\\\\\implies -24 +12d = 2d-6 +22\\\\\implies 12d-2d-24+6-22 = 0\\\\\implies 10d -40=0 \\\\\implies d = \dfrac{40}{10} = 4\\\\[/tex]
Answer:
[tex]\boxed{\sf{d=4}}[/tex]Step-by-step explanation:
In order to solve this equation, you must isolate it on one side of the equation.
Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC⇒ -24+12d=2(d-3)+22
Multiply.
⇒ 2(d-3)+22
⇒ 2d-2*3
⇒ 2*3=6
⇒ 2d-6
Rewrite the problem down.
⇒ 2d-6+22
⇒ -6+22=16
⇒ 2d+16
⇒ -24+12d=2d+16
Then, you add by 24 from both sides.
⇒ -24+12d+24=2d+16+24
Solve.
⇒ 12d=2d+40
Subtract by 2d from both sides.
⇒ 12d-2d=2d+40-2d
Solve.
⇒ 12d-2d=10d
⇒ 10d=40
Divide by 10 from both sides.
⇒ 10d/10=40/10
Solve.
Divide the numbers from left to right.
⇒ 40/10=4
[tex]\Longrightarrow:\boxed{\sf{d=4}}[/tex]
Therefore, the correct answer is d=4.I hope this helps! Let me know if you have any questions.
help please im in class rn
Answer:
https://brainly.com/question/27407610
Step-by-step explanation:
Michael is studying two number patterns. Pattern A starts at 0 and has the rule "add 4. " Pattern B starts at 0 and has the rule "add 2. " What is the relationship between corresponding terms in the two patterns?
The terms in Pattern B are one half the corresponding terms in Pattern A.
The terms in Pattern B are one fourth the corresponding terms in Pattern A.
The terms in Pattern B are 4 times the corresponding terms in Pattern A.
The terms in Pattern B are 2 times the corresponding terms in Pattern A
Answer:
B
Step-by-step explanation:
please mark brainliest
A jar contains nine black buttons and four brown buttons. If nine buttons are picked
at random, what is the probability that all of them are black?
Answer:
9/13
Step-by-step explanation:
Total = 9 + 4
= 13
Probability: 9/13
A trail mix contains raisin, peanut, and chocolate.
The ratio of raisin to peanut is 2:3 and the ratio
of peanut to chocolate is 5:8. What is the ratio
of raisin to chocolate?
2: 13.333 or 2: 13
multiply the 8 by 5/3 to combine the terms
The ellipse with the equation 9x2 + 16y2 = 144 ________.
a. is in Position II
b. has no symmetry
c. is in Position I
d. has no foci
Please help me figure out how to determine this!!
The ellipse with the equation stated above is:
Position I (Option C )
An ellipse is a circle that has been extended in one direction such that it is no longer a circle but an oval.
Solution
In order to determine the position of the ellipse with the above equation, we can start by simplifying the equation.
Hence, 9x² + 16y = 144 becomes
x²/16 + y²/9 = 1 (We arrive at this by dividing both sides of the equation by 144);
The x-axis is the major axis because the biggest denominator is under the x² term.
Thus the coordinates of the vertices are as follows:
(± a, 0); (0, ± b)
Hence:
a² = 16 → a = 4
b² = 4 → b = 2
Hence the coordinates are:
(± 4, 0); (0, ± 2)
Given the above, the eccentricity is given as:
e = √(1 - (3/4)^2 = (√7)/4 = 0.6614378
Hence the ellipse is: 0.66
Learn more about Ellipse at:
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TREES A redwood tree can grow to be
about six times as tall as a pine tree.
Suppose a common pine tree measures
about 56 feet tall. Write and solve an
equation it to find the approximate
height of a redwood tree.
Answer:
336 feet
Step-by-step explanation:
We can multiply to solve this :)
56 x 6 = 336
Have an amazing day!!
Please rate and mark brainliest!!
.............................................
Answer:
90 degrees
Step-by-step explanation:
it is a right angle
Bertha bought a cake that weighs 7 kilograms. Jessup's cake weighs 6,537 grams.
A. Jessup’s cake weighs more than Bertha’s cake.
B. The expression 7 x 1,000 can be used to find the weight of
Bertha’s cake in grams.
C. Bertha’s cake weighs 463 grams more than Jessup’s cake.
D. Jessup’s cake weighs more than 6 kilograms.
Tyler swam for 230 minutes during his first week of vacation. In his two weeks of vacation, he swam for a total of 539 minutes. How many more minutes did he swim for in the second week than in the first week?
Answer:
79 minutes.
Step-by-step explanation:
Look below me for a further explanation he/she is correct.
Answer:
79 minutes.
Step-by-step explanation:
539 - 230 is 309. Tyler swam 309 inutes the 2nd week and 230 minutes the first week.309 - 230 is 79 minutes. Tyler swam 79 minutes more in the 2nd week than in the first week.
The front of an A-frame house is in the shape of a triangle. The height of the house is 20 feet. The area of the front of the A-frame is 600 square feet. What is the length of the base of this house?
Answer: the lenght is 30 feet
Step-by-step explanation:
if this is hight times lenght then yea it should be 30 feet
Real world problem for quadratic using square root property?
please help
Answer:
Example:
Sri Rangaman's flower garden is now a square. If she enlarges it by increasing the width 1 meter and the length 3 meters, the area will be 19 square meters more than the present area. What is the length of a side now?
Another Example how to solve it:
1. Solve the quadraticsa) (2x + 5)2 = 10b) x2 - 2x + 1 = 52. Given the formula HF = -16t2 + HI. How long does it take a ball to fall from a roof to the ground 25 feet below1. Solve the quadraticsa) (2x + 5)2 = 10b) x2 - 2x + 1 = 52. Given the formula HF = -16t2 + HI. How long does it take a ball to fall from a roof to the ground 25 feet below
How to use the square root function in word problems?Examples: 1. The floor of a square room is covered with square-foot floor tiles. If 81 tiles cover the floor, how long is each side of the room?2. Mr. Dase found a square digital image of a famous painting on a Web site. The image contained 490,000 pixels. How many pixels high is the image?