Answers
Answer:
a. -3
b. 324, -972, and 2,916
Step-by-step explanation:
a. Common ratio:
-108/36 = -3
36/-12 = -3
-12/4 = -3
Therefore, the common ratio = -3
b. To get the next three terms, multiply the each consecutive term by the common ratio.
Thus:
-108 × -3 = 324
324 × -3 = -972
-972 × -3 = 2,916
Therefore, the next three terms of the sequence are:
324, -972, and 2,916
Related Questions
Mrs. Java invests $4000 at 10% annual return and $6000 al 12% annual return. How much should she invest at 15% return so that her total annual retum is 13% of the total amount she has invested?
Answers
Answer:
Step-by-step explanation:
Interpreting as: 6000
Input:
6000
Number line:
Number line
Number name:
six thousand
Roman numerals:
\!\(\("V"\)\&_\)M
Binary form:
1011101110000_2
Prime factorization:
2^4×3×5^3
Residues modulo small integers:
m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9
6000 mod m | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 6
Properties:
6000 is an even number.
6000 is a number that cannot be written as a sum of 3 squares.
6000 has the representation 6000 = 3^5 5^2 - 75.
6000 divides 49^10 - 1.
Character code 6000:
| Tagbanwa letter sa
Unicode: U+1770 (decimal: 6000)
Mathematica: \:1770
(Tagbanwa)
Seraphina says that ΔKLM is a right triangle. Is she correct?
Seraphina is correct. The sum of the squares of the two legs of the triangle is equal to the square of the hypotenuse.
Seraphina is not correct. The sum of the squares of the two legs of the triangle is not equal to the square of the hypotenuse.
Seraphina is correct. In the diagram, side KM looks perpendicular to side ML, so the triangle must be a right triangle.
Seraphina is not correct. The sum of the legs, 12 cm and 16 cm, does not equal the length of the hypotenuse, 19 cm.
Answers
Answer:
B. Seraphina is not correct. The sum of the squares of the two legs of the triangle is not equal to the square of the hypotenuse.
Step-by-step explanation:
If KLM is a right triangle, then 12^2+16^2=19^2,
144+256 = 361
400 = 361 false
so, KLM is not a right triangle as the sum of the squares of the two legs are not equal to the square of the hypotenuse.
The sum of the squares of the two legs of the triangle is not equal to the square of the hypotenuse. Seraphina is incorrect.
What is a Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
Seraphina says that ΔKLM is a right triangle.
Let us check whether triangle ΔKLM is a right triangle or not.
By the Pythagoras theorem, we have
19² = 16² + 12²
361 = 256 + 144
361 ≠ 400
Thus, the triangle is not a right triangle.
Learn more about the Pythagoras theorem here:
https://brainly.com/question/12105522
#SPJ2
It takes a man 20 minutes longer to travel from his home to his place of business if he drives at a rate of 30 mph than if he drives at a rate of 40 mph. How many miles is his home from his place of business?
Answers
20 minutes = 1/3 hours
let the distance be S
recall that time taken = distance/velocity
so, the time taken when travelling at 30 mph is S/30
and the time taken when travelling at 40 mph is S/40
therefore
S/30 - S/40 = 1/3
multiply through by 120
4S - 3S = 40
S = 40
distance = 40 miles
What property of equality is used when combining like terms in an equation?
A. Addition Property
B. Multiplication Property
C. Commutative Property
D. Inverse Property
Answers
4x-3=2x+7
algebraic form
Answers
What is the slope of the line that passes through these two points (8,4) and (5, 3)?
3
Answers
Answer:
the slope is -1 bcoz u do 3-4/5-8
Help plzzz
Geometry
Answers
Answer:
112 and 64
Step-by-step explanation:
(because if 16 foot equal to 1 inch then u multiply the inches by 17)
hope this helps :)
the parabola y=x^2 is shifted up by 2 units and to the right by 3 units. what is the equation of the new porabola
Answers
y = x^2 + 2
to the right 3 units = x shifted right (+) by 3:
y + 3 = x^2 +2
new equation:
y = x^2 - 1
What number is the opposite of 90?
Answers
Answer:
-90
Step-by-step explanation:
la mitad de un número aumentado en 4 da como resultado uno
Answers
Answer:
Yes indeed it does
Step-by-step explanation:
Which of the following could be the actual distance?
Answers
Answer:
B
Step-by-step explanation:
i do not understand this please help me
Answers
Answer: Plane AEF
Step-by-step explanation: Parallel means equal or same as. If you follow the letters BCD you can see that it sorta makes a triangle shape. So if you follow the answer choices you could see that AEF is the only one that does what BCD does if that makes sense :)
4 tons of bark cost $23,600.00. What is the price per pound?
Answers
Answer:
5,900
Step-by-step explanation:
you just divide 4 by 23,600.00 and you get 5,900 with is the price per pound
1a)Every morning, Jim goes for a morning walk. His normal walking speed is 3 1/2 km per hour, and he walks
a total distance of 10 km every day. How much time does he take to cover one km?
minutes
Answer
17 1/7
1b)How much time does it take him to complete his morning walk?
Answers
9514 1404 393
Answer:
17 minutes 8.6 seconds (17 1/7 min)2 hours 51 minutes 26 seconds (2 h 51 3/7 min)Step-by-step explanation:
The relationship between time, speed, and distance is ...
time = distance/speed
__
a) For 1 km, the time in hours is ...
time = (1 km)/(3.5 km/h) = 1/3.5 h = 2/7 h
In minutes, that is ...
(60 min/h)(2/7 h) = 120/7 min = 17 1/7 min . . . . time for 1 km
__
b) The time for 10 km is 10 times the time for 1 km, so will be ...
(10)(2/7 h) = 20/7 h = 2 6/7 h
In hours and minutes, that is 2 hours and (6/7)(60 min) = 360/7 min = 51 3/7 min.
The time for 10 km is 2 hours 51 3/7 minutes.
i need help i have limited time to finish and it's a big test!
Answers
Answer:
first one
Step-by-step explanation:
The manager of a rug shop bought some rugs for $16 each. He was able to sell all but 6 of them for $22 each, making a profit of $168. How many rugs were originally bought?
Answers
Answer:
the total of rugs is 8
Step-by-step explanation:
6 for $22 means he sold 6 of them and made $132
then take 168 - 132 and we get 36
the rest are 16 each so 2 rugs was the maximum.
Kyle is buying a new car. The car can be driven 24.3 miles with one gallon of gas. The
gas tank can hold 15.3 gallons of gas.
Kyle wants to know how far he can travel on a full tank of
gas. Which method and
reasoning can Kyle use to find the distance he can travel in miles?
Answers
Answer:
im sure the answer is 371.79
Step-by-step explanation:
Answer:
Unitary method
Total distance = 371.79 miles
Step-by-step explanation:
We are given that Kyle is buying a new car.
The car driven in one gallon of a gas =24.3 miles
The gas tank holds=15.3 gallons
We have to find the method and reasoning can Kyle use to find the distance he can travel in miles.
We have to find the distance travel in 15.3 gallons of a gas
So , we are using unitary method .
Unitary method : When we want to find more than one units with the help of one unit by multiplying
Because we are finding in 15. 3 gallons which is more than one and we are given that in 1 gallon of a gas car travel 24. 3 miles
Total distance =
Hence, the distance Kyle can travel in 15.3 gallons of gas=371.79 miles
Complete the following questions. A compass and straightedge are required for these questions,
Answers
i want your number
Step-by-step explanation:
please i want it
ekeiebehevehwjiwieie9e9ennnwvwveueieggnoi ekw
The graph shows the number of words Denise types in a given number of minutes. If Denise continues to type at the same pace, how many words will she have typed in 5 minutes?
Answers
Answer: 250 words
Step-by-step explanation:
Equation: y= x+50
(Sorry if I’m wrong, I learned this in 6th grade)
3. Jenny bought 7 jackets and 10 winter hats. The jackets cost $8 dollars each, and the winter hats cost $4 each. Write an equation to show the total cost c, in dollars, of the items Jenny bought.
Answers
Answer:
7(8)+10(4)=c
Step-by-step explanation:
Hope this helped!
Given the functions f(x) = x² – 8 and g(x) = 4-x, determine the equation for the combined function
y=f(x) - g(x).
Answers
Answer:
[tex]y=x^2+x-12[/tex]
Step-by-step explanation:
f(x) = x² – 8 and g(x) = 4-x
y=f(x) - g(x)
y=(x² – 8) - (4-x)
[tex]y=x^2-8-4+x\\y=x^2+x-12[/tex]
What is the area of the triangle below? 00 17 O A. 136 sq. units O B. 68 sq. units O C. 25 sq. units O D. 50 sq. units
Answers
Answer:
B) 68 units^2
Step-by-step explanation:
8 x 17 x 0.5 = 68 units^2
2) A car travels at a speed of 70 kilometers per hour. How far will it travel in 24 minutes?
Answers
Answer:
The distance travelled by the car is 28km in 24 minutes
Step-by-step explanation:
The car travels 70km per 1 hour
The car travels per 24 minutes is
V=70km/60minutes=(70/60)km/min
V=1.16km/min=1.16*24/24minutes=28km/24minutes
Answer:
Approximately 28 kilometers
Step-by-step explanation:
You first divide 70 by 60 to get the total number of km it would go in 1 minute. You will get 1.16666667. Next you will multiply it by 24. You will get approximately 28. So it will travel 28 km in 24 min.
13x² -7x -8 how to solve this
Answers
Answer:
132x-8
Step-by-step explanation:
I think I might be wrong, but hopefully this is helpful, and yet I still find this confusing.
It's a simplification I don't know if you needed that.
Enzel goes online to buy a graphing calculator. He finds a site that currently has a promotion of 15% off on all orders over $50. Enzel decides to buy his graphing calculator, with a price tag of $83, at this site because he knows that he will get the 15% discount when he checks out. Enzel pays 4.5% sales tax on the discounted price and pays a shipping fee of $6.35. What is the total of Enzel’s online purchase?
a.
$80.07
b.
$80.36
c.
$86.74
d.
$93.09
Answers
The total price of the graphing calculator is $80.07.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Percentage is usually denoted by the symbol '%'.
Given that,
Original price of the graphing calculator = $83
There is a 15% off on the site on all orders over $50.
Price of the calculator will be 100 - 15 = 85% of the actual price.
Price of the graphing calculator after the discount = 85% × 83
= 0.85 × 83
= $70.55
Sales tax on the discounted price = 4.5%.
Price after adding sales tax = $70.55 + (4.5% × 70.55)
= $73.72475
There is a shipping fee of $6.35.
Total price = $73.72475 + $6.35
= $80.07475
Hence the total price is a. $80.07.
To learn more about Percentage, click :
https://brainly.com/question/13450942
#SPJ7
WALLAHI HELP ME PLEASE I BEG ANYONE THIS IS HARD
Answers
Answer:
D.(-3,-7)
Step-by-step explanation:
5x+8=-5x-22
5x+8+5x=-22
10x+8=-22
10x=-22-8
10x=-30
x=-30/10
x=-3
y=5x+8 x=-3
y=5(-3)+8
y=-7
PLEASE HELP WILL MARK BRAILNY
Answers
Answer: B
Step-by-step explanation: plz mark me brainliest
nesecito ayuda para hacer el ejercico es para hoy!!!!! Un número se multiplica por 37 y al sumar los productos parciales resulta 7890. ¿Cuál es la suma de cifras del número
Answers
Which equation is correct?
75 × 4 = 70 + 5 × 4
75 × 4 = 70 × 4 + 5 × 4
75 × 4 = 700 × 4 + 5 × 4
75 × 4 = 70 × 4 + 5
Answers
75 x 4= 70 + 5 x 4
Find the equation of a line that contains the points (6, -7) and (8,5). Write the equation in slope-intercept form.
Answers
Answer:
y = 6x - 43
Step-by-step explanation:
(6, -7) and (8,5)
m=(y2-y1)/(x2-x1)
m=(5 + 7)/(8 - 6)
m= 12/2
m = 6
y - y1 = m(x - x1)
y + 7 = 6(x - 6)
y + 7 = 6x - 36
y = 6x - 43