B) 16, -8, 4, -2, 1
C) -15, -18, -21.6, -25.92, -31.104
E) 625, 125, 25, 5, 1
==================================================
Explanation:
Part (A)
Divide each term over its previous term. If each result is the same, then we have a geometric sequence.
(term2)/(term1) = (-4)/(-2) = 2
(term3)/(term2) = (-6)/(-4) = 1.5
We can stop here since we got a different result.
This sequence is not geometric.
--------------------------------------
Part (B)
Same idea as part (A)
(term2)/(term1) = (-8)/16 = -0.5
(term3)/(term2) = 4/(-8) = -0.5
(term4)/(term3) = (-2)/4 = -0.5
(term5)/(term4) = 1/(-2) = -0.5
We get the same result each time. The common ratio is r = -1/2 = -0.5. This sequence is geometric.
--------------------------------------
Part (C)
(term2)/(term1) = (-18)/(-15) = 1.2
(term3)/(term2) = (-21.6)/(-18) = 1.2
(term4)/(term3) = (-25.92)/(-21.6) = 1.2
(term5)/(term4) = (-31.104)/(-25.92) = 1.2
This sequence is geometric since each result is the same. The common ratio is r = 1.2
note: 6/5 = 1.2
--------------------------------------
Part (D)
(term2)/(term1) = (10.5)/4 = 2.625
(term3)/(term2) = (17)/(10.5) = 1.619
We don't get the same result, so we can stop here. This sequence is not geometric.
--------------------------------------
Part (E)
(term2)/(term1) = (125)/(625) = 0.2
(term3)/(term2) = (25)/(125) = 0.2
(term4)/(term3) = (5)/(25) = 0.2
(term5)/(term4) = (1)/(5) = 0.2
The common ratio is r = 0.2 or r = 1/5
This sequence is geometric.
Answer:
C) -15, -18, -21.6, -25.92, -31.104
E) 625, 125, 25, 5, 1
Step-by-step explanation:
Does this equation have no solution, one solution, or infinite number of solutions x=y-3 2x-2y=-6
Answer:
Infinite amount of solutions
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesAlg I
Solving systems of equations by substitution/eliminationStep-by-step explanation:
Step 1: Define systems
x = y - 3
2x - 2y = -6
Step 2: Solve for y
Substitute: 2(y - 3) - 2y = -6Distribute 2: 2y - 6 - 2y = -6Combine like terms: -6 = -6Here we see that -6 does equal -6. Therefore, any value y would work as a solution. Hence, this systems of equations has an infinite amount of solutions.
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
An employee at a construction company is ordering interior doors for some new houses that are being built. There are 2 one-story houses and 4 two-story houses on the west side of the street, which require a total of 64 doors. On the east side, there are 5 one-story houses and 4 two-story houses, which require a total of 88 doors. Assuming that the floor plans for the one-story houses are identical and so are the two-story houses, how many doors does each type of house have?
Each one-story house has
doors, and each two-story house has
doors.
Answer: This is a system of equations, let's set it up. I set the variable for 1 story houses to x and 2 story houses to y. Here are the two equations:
6x + 2y = 72
5x + 7y = 124.
Now we multiply the equations so that when we add them together one of the variables will be cancelled out. I am going to multiply the top equation by 7 and the bottom equation by -2. This gives us
42x + 14y = 504
-10x -14y = -248
Add the two equations together:
32x = 256
Divide by 32 to get x = 8. The one story houses have 8 doors. We can plug this number into one of the original equations and solve for y now. I'm going to use the first equation.
(6*8) + 2y = 72
Now we solve for y
y = 12 So, the 1 story houses have 8 doors and the 2 story houses have 12 doors.
Mrs canales class is selling pizza to earn money for a field trip. For every pizza sold the class makes $5.35. They have already earned $182.90 toward their $750 goal. How many more pizzas must they sell to earn $750 (algebraic approach) Thanks
Answer:
They still have to earn:
$750 - $182.9 = $567.1
and if they make $5.35 for every pizza sold:
$567.1 : $5.35 = 106
They must sell 106 pizzas more.
Step-by-step explanation:
Jen is single and owns a condo. Her condo costs $120,000 and she has a $100,000 mortgage at 5%. She pays $3,600 in property tax and contributes $500 to ber church per year. Does she use Iternized Deduction or Standard Deduction?
Answer:
`298,483
Step-by-step explanation:
The tank for a car holds 20 gallons of gas. The gasoline gauge shows the tank is 1/8 full. How much gas is still in the tank?
Answer:
3/4 of a tank =3/4(13) gal
=39/4 almost 10 gal
The length of a rectangle is 97 meters and the width is 14 meters. Find the area. Give your answer without units.
Provide your answer below:
The area of a rectangle is the product of length and width thus the area will be 1358 square meters.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
The perimeter of the rectangle = 2( length + width).
It is known that,
Area of rectangle = length × width.
Area = 97 x 14 = 1358 sqare meters
Hence "The area of a rectangle is the product of length and width thus the area will be 1358 square meters".
For more about rectangles,
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PLEASE HELP WILL GIVE BRAINLIST
Answer:
greater than or equal to
Step-by-step explanation:
Solve five and three sixths minus two and one third.
(GIVING EXTRA POINTS ON THIS ONE! IM ALSO GIVING BRAINLIEST!) (Btw three and two ninths is incorrect :) )
A) Two and three eighteenths
B) two and two ninths
C) three and two ninths
D) three and three eighteenths
(Here is an image if needed) :
Answer:
3 3/18
Step-by-step explanation:
I did this on paper, but im typing on computer, sorry I cant send a photo
Answer:
D is the answer 3 3/18 i am sure it is correct
Lola used 2 1/2 ink cartridges while her friends used 1 3/4 ink cartridges. How many more ink cartridges did Lola use than her friends
Answer:
Lola used 3/4 more ink cartridges than her friends
Step-by-step explanation:
a pump can fill 2400 litres an hour and its replacement model can fill 2.5% more, how man litters an hour can the new model fill
Answer:
2,460 liters per hour
Step-by-Step Explanation:
The problem above requires only two operations: multiplication and addition. First, you have to answer this question: How much is 2.5% of 2,400 liters?"
You may do this by multiplying 2,400 by 2.5%.
2,400 x 2.5% (0.025) = 60 liters (this is the amount that the new model can fill more than old model).
Then, you have to add 60 liters to 2,400 liters.
2,400 liters + 60 liters = 2,460 liters
This means that the new model can fill 2,460 liters per hour.
Select the shapes that are similar to shape A.
Answer: Blue, orange, purple and red
Step-by-step explanation:
Answer:
The blue, pink, orange, purple, and red.
HELP PLEASE! IM DUMB AND DONT HAVE MUCH TIME :( SPENDING 18 POINTS ON THIS
Answer:
The correct choice is the one on the bottom right.
21. (01.05)
A function is created to represent the cost per person to attend the school dance. What restrictions would
be made to the domain? (1 point)
The domain would only include integers.
The domain would only include positive integers.
The domain would only include positive numbers,
The domain would include all real numbers.
Answer:
Step-by-step explanation:
The domain would only include positive integers.
if the current ratio is 2:1 it is possible that
Answer:
is this question complete? there is nothing after the word “that”
Step-by-step explanation:
what is the image of (6,-2) under the translation (x,y) (x-5,y-8)
Please help me really need help please please will mark brainiest it’s due today at 3:30pm please help me please
Answer:
8 Hours.
Step-by-step explanation:
Could anybody please help me here from this picture? I am not sure which pair of sides can be congruent.
Answer: A) segment AB = segment AD
The diagram below pretty much says it all. The color coding indicates what is given (in blue). The segments in red are congruent because of the reflexive property. If we know the green stuff is true, then we have enough to use SAS.
Please help me solve this! If you could solve my other questions that haven't been solved that would be great!
Answer:
The simplest form of the complex fraction [tex]\frac{\frac{8}{9}}{8}[/tex] is [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
In the complex fractions [tex]\frac{\frac{a}{b}}{c}[/tex] = [tex]\frac{a}{b}[/tex] ÷ c
To simplify it change ÷ to × and reciprocal c
[tex]\frac{\frac{a}{b}}{c}[/tex] = [tex]\frac{a}{b}[/tex] ÷ c = [tex]\frac{a}{b}[/tex] × [tex]\frac{1}{c}[/tex] = [tex]\frac{a}{bc}[/tex]In the complex fractions [tex]\frac{a}{\frac{b}{c}}[/tex] = a ÷ [tex]\frac{b}{c}[/tex]
To simplify it change ÷ to × and reciprocal [tex]\frac{b}{c}[/tex]
[tex]\frac{a}{\frac{b}{c}}[/tex] = a ÷ [tex]\frac{b}{c}[/tex] = a × [tex]\frac{c}{b}[/tex] = [tex]\frac{ac}{b}[/tex]Let us solve the question
∵ The complex fraction is [tex]\frac{\frac{8}{9}}{8}[/tex]
∵ [tex]\frac{\frac{8}{9}}{8}[/tex] = [tex]\frac{8}{9}[/tex] ÷ 8
→ Change ÷ to × and reciprocal 8
∴ [tex]\frac{8}{9}[/tex] ÷ 8 = [tex]\frac{8}{9}[/tex] × [tex]\frac{1}{8}[/tex]
→ Cancel 8 up with 8 down
∴ [tex]\frac{8}{9}[/tex] × [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{9}[/tex]
∴ The simplest form of the complex fraction [tex]\frac{\frac{8}{9}}{8}[/tex] is [tex]\frac{1}{9}[/tex]
Answer:
1
Step-by-step explanation:
In the fraction 8/9, 8 is the numerator and 9 is the denominator. When you ask "What is 8/9 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction. We do this by first finding the greatest common factor of 8 and 9, which is 1.
Kelly is paid 12.50 per hour she worked for 14hours she gave her mom 1/5 how much money does Kelly have left
Answer:
10
Step-by-step explanation:
Since Kelly earns 12.50 dollars per hour, and she works 14 hours, you can multiply 12.50 by 14.
1. 12.50*14=175
Kelly gives 1/5 of her money away, so she should be left with 4/5.
2. 4/5*12.50=10
So the answer is 10.
5
Rectangle WXYZ is located on the coordinate plane. The coordinates for
three of the vertices are listed below. Rectangle WXYZ is dilated by a scale
factor of 2 with a center of dilation at the origin, to form W'X'Y'Z'. What are
the coordinate of vertex X'? *
W (1,6)
Y (3, 2)
z (1,2)
Explain how you determined your answer.
Your answer
Answer:
X' = (6 , 12)
Step-by-step explanation:
Dilation means to stretch or increase with some factor.
We are given the coordinates of rectangle as
W (1,6), Y (3, 2), Z (1,2)
plot this on the Cartesian plane
Coordinate of X is missing
Since the shape is a rectangle so its mid point diagonal intersection point will remain same.
using this the diagonal is
W (1,6) and Y (3,2) are diagonal points
D = ([tex]\frac{3+1}{2} , \frac{6+2}{2}[/tex]) = (2, 4)
Coordinate of X will be
X( x,y) and Z (1,2)
X = ( [tex]\frac{x+1}{2}, \frac{y+2}{2}[/tex]) = (2,4)
this will give x= 3 and y = 6
X ( 3,6)
Now Dilating by the scale factor of 2
Coordinate of X' = X( 2x, 2y)
X' = ( 2*3, 2*6)
X' = (6 , 12)
20+20 omg.please help :(
Answer:
40
Step-by-step explanation:
5 times a number increased by 4 is at least
nineteen
Answer:
5(x+4) ≥ 19
x ≤ -1/5
Step-by-step explanation:
5(x+4) ≥ 19
5x + 20 ≥ 19
5x ≤ -1
x ≤ -1/5
In a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the Roman alphabet.
(a) How many different license plates can the country produce?
(b) How many license plates have no repeated letter? (c) How many license plates have at least one repeated letter?
(d) What is the probability that a license plate has a repeated letter? (Round your answer to the nearest whole percent.)
Answer:
Step-by-step explanation:
From the given information:
The number of different license plate the country can produce is in the form:
=L₁L₂L₃L₄ or L₁L₂L₃L₄L₅ or D₁L₁L₂L₃L₄ or D₁L₁L₂L₃L₄L₅
∴
The Total number of the license plate that can be produced is;
= 26⁴ + 26⁵ + (10 × 26⁴) + (10 × 26⁵)
= 456976 + 11881376 + 4569760 + 118813760
= 135721872
Number of license plate with no repeated letter = P(26,4) + P(26,5) + 10 P(26,4) + 10 P(26,5)
= 11 P(26,4P + 11 P(26,5)
[tex]=11 \times \dfrac{26!}{(26-4)!} + 11 \times \dfrac{26!}{(26-5)!}[/tex]
= 90776400
c) The number of the licensed plate with 1 repeated letter = Total number of the licensed plate - number of the licensed plate with no repeated letter.
= 135721872 - 90776400
= 44945472
d) The probability that a licensed plate has repeated letter is:
[tex]= \dfrac{no(rep \ letter) }{n (total)} \times 100\%[/tex]
[tex]= \dfrac{44945472}{135721872}\times 100\%[/tex]
= 33.12%
A) The country can produce 118,813,760 different licence plates.
B) 78,936,000 license plates have no repeated letter.
C) 39,877,760 license plates have at least one repeated letter.
D) The probability that a license plate has a repeated letter is 33.56%.
Given that in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the Roman alphabet, to determine (A) how many different license plates can the country produce; (B) how many license plates have no repeated letter; (C) how many license plates have at least one repeated letter; and (D) what is the probability that a license plate has a repeated letter, the following calculations must be performed:
A)
10 x 26 x 26 x 26 x 26 x 26 = X 10 x 11,881,376 = X 118,813,760 = X
B)
10 x 26 x 25 x 24 x 23 x 22 = X 10 x 7,893,600 = X 78,936,000 = X
C)
118,813,760 - 78,936,000 = X 39,877,760 = X
D)
118,813,760 = 100 39,877,760 = X 39,877,760 x 100 / 118,813,760 = X 33.56 = XLearn more about quantities in https://brainly.com/question/12161780
1000 ft to 1950 ft in 4 miles what is slope
Answer:
0.05
Step-by-step explanation:
Slope is the vertical drop or rise to the horizontal distance;
Slope = [tex]\frac{vertical interval}{horizontal distance}[/tex]
Let us convert 4 miles to feet;
1 mile = 5280ft
4 miles = 4 x 5280 = 21120ft
Slope = [tex]\frac{1950 - 1000}{21120}[/tex] = 0.05
The slope is 0.05
Find the distance of a line given the following points. R(3, 1), W(-1, -2)
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]
[tex]x_1, y_1[/tex] is (3, 1)
[tex]x_2, y_2[/tex] is (-1, -2)
[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]
which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]
then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]
your final answer is: [tex]\sqrt{13}[/tex] or about 3.61
2) What is 75% of $20.00? *
A. 1,500
B. $15.00
C. $0.15
D. $150.00
Answer:
It is $15.00
Step-by-step explanation:
It is B because A is not even money, C is fifteen cents which is not correct because the question is asking for 75% of $20.00, and finally D is incorrect because it is more than the amount of money asked in the question.
trapezoid has parallel sides with length 10 cm. and 15 cm. Give the area of the trapezoid.
Answer:
150
Step-by-step explanation:
Length times width you learned about that in elementary school every one has.
Answer:
150
Step-by-step explanation:
Point Tis on line segment SU. Given ST = 2 and TU = 15, determine the length
SU.
Answer:
SU = 17
Step-by-step explanation:
The line looks like this
S--T---------------U
If you add 2 + 15 = 17
Hope this helps ya!!
the sum of 4 consecutive even integers is -164. what is the value of the greatest integer
Answer:
The value of the greatest integer is -38
Step-by-step explanation:
Let's make
x = the first even integer
x + 2, x + 4, x + 6 are the following even integers.
Recall even numbers are counted every other number.
The sum of all the numbers is -164:
x + x + 2 + x + 4 + x + 6 = -164
Simplifying:
4x + 12 = -164
Subtracting 12:
4x = -164 - 12 = -176
Dividing by 4:
x = -176 / 4 = -44
Thus, the greatest of them all is x + 6 = -44 + 6 = -38
The value of the greatest integer is -38
-32-38r=84+-112r+-42
Answer:
Move r to left or right then divide the numbers