The series 1 + 3 + 9 + 27 is a geometric series because the common ratio is 3 option second is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
As we know, the geometric series has a common ratio:
If a, b, c, d, e.....
is in the GP then,
b/a = c/b = d/c = and so on
We have a series:
0.1 + 0.3 + 0.5 + 0.7
0.3/0.1 ≠ 0.5/0.3
The above sequence is not a geometric series.
1 + 3 + 9 + 27
3/1 = 9/3 = 3
The above sequence is a geometric series.
19 + 17 + 15 + 13
17/19 ≠ 15/17
The above sequence is not a geometric series.
0.4 + 0.9 + 1.5 + 2.2
0.9/0.4 ≠ 1.5/0.9
The above sequence is not a geometric series.
Thus, the series 1 + 3 + 9 + 27 is a geometric series because the common ratio is 3 option second is correct.
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Susie has a bag with 9 hair pins, 7 pencils, 2 snacks, and 5 books. What is the ratio of books to pencils?
Answer:
5:7
Step-by-step explanation:
36+5 to the 3rd power as an expression
Answer:
the expression is (36+5)³
Divide 1 1/2 divided by 1/4 in simplest form
Answer:
6
Step-by-step explanation:
1 1/2 divided by 1/4. Firstly you simplify the mixed number 1 1/2 to an improper fraction to make the process easier. So if it is simplified it would be 3/2.
Now you follow the division process and then simply the answer and it would be 6.
Answer:
Answer is 6
Step-by-step explanation:
Change 1 1/2 into 3/2
Multiply by the reciprocal: 3/2 x 4/1
3/2 x 4/1 = 12/2
12 divided by 2 = 6
Hope this helps :)
-3x + 12 = 18 please help it’s urgent
Answer:
Move all terms that don't contain x to the right side and solve.
x = −2
Answer:
x=-2
Step-by-step explanation:
-3x-2=6
6+12=18
Question 13 (2 points)
There are a total of 56 students in the art club and the math club. The art club has 12 more students
than the math club. Write and solve a system of equations to find the number of students in each club.
Let x = students in the art club and y = students in the math club
Solution:
students in the art club and
students in the math club
Blank 1:
Blank 2:
Answer:
The math club has 22 students, and the art club has 34 students.
Step-by-step explanation:
Given that there are a total of 56 students between the art club and the math club, and that the art club has 12 more students than the math club, to determine how many students there are in each club, the following calculation must be performed:
X + X + 12 = 56
2X + 12 = 56
2X = 56 - 12
X = 44/2
X = 22
Thus, the math club has 22 students, and the art club has 34 students.
Jacob is standing on the observation deck of the Sears Tower in Chicago. The height of the
observation deck is 1450 feet. He sees his car being towed, which is parked on the street 5,128
feet from the base of the tower. Find the angle of depression. Round to the nearest tenth.
9514 1404 393
Answer:
15.8°
Step-by-step explanation:
The relationship between angle trig functions and sides of a right triangle is summarized in the mnemonic SOH CAH TOA. Here, we're given the side opposite the angle (the height of the deck), and the side adjacent to the angle (the horizontal distance). So, the applicable relation is ...
Tan = Opposite/Adjacent
tan(angle) = 1450/5128
Then the angle is found using the inverse tangent function:
angle = arctan(1450/5128) ≈ 15.8°
The angle of depression is about 15.8°.
please help me with this
Find the slope between the ordered pairs (3,8) (-2,6)
Answer:
2/5
Step-by-step explanation:
(y2-y1)/(x2-x1)=slope
8-6=2
3+2=5
slope is 2/5
Answer: The slope of the line is 0.4
Step-by-step explanation: I wish it help.
A few weeks ago, Kristen bought 10 apples from her local farmers' market. Today, the number of apples Kristen bought was 20% higher. How many apples did she buy today?
Answer:
12
Step-by-step explanation:
Which of the following represents a function?
Answer:
A.
Step-by-step explanation:
in order for a function to be a function, one input must only have one output.
We see that in option B, -1 has two outputs (10, 18)
In option c, we see that -4 has two outputs (2, -2)
In option D, we see that -3 has two outputs (5, 0)
This means A is the correct option because each input has only one output.
I NEED THIS QUICK HELP!
Pilar bought 2/3 pound of turkey. She ate 1/4 of the turkey that she bought for lunch.
How many pounds of turkey did she eat?
Enter your answer in the box as a fraction in simplest form.
Answer:
1/6 lbs
Step-by-step explanation:
2 1 1
- X - = -
3 4 6
Answer: She ate 5/12 of the turkey.
Step-by-step explanation:
First, find a common denominator by multiplying each fraction by the denominator of the other. By doing this, you should get 8/12, and 3/12.
Next, subtract them!
ex: 2/3= 8/12
1/4=3/12
8/12-3/12=5/12
LOOK HERE IF YOU ANSWER CORRECTLY YOU PASS 8th grade
You get a loan for $2500 with a simple interst of 16% for 3 years. How much to you have to pay back?
Answer:
$3,700
Step-by-step explanation:
16% of 2500=400
400×3(years)=1200
2500+1200=3700
The angle of elevation of the top of a flagpole from a point on the ground 30 meters
from the base of the flagpole is 18 degrees. What is the height of the flagpole, to the
nearest meter?
I need help
Answer:
[tex]10\:\mathrm{meters}[/tex]
Step-by-step explanation:
We can use trigonometry for a right triangle to solve this problem:
[tex]\tan 18^{\circ}=\frac{h}{30},\\h=30\cdot\tan 18^{\circ},\\h\approx \fbox{$10\:\mathrm{m}$}[/tex].
The height of the flagpole is 10 meters.
What is angle of elevation?"It is the angle from the horizontal upward to an object."
For given question,
Consider the following figure.
The angle of elevation is 18°
⇒ ∠ACB = 18°
Also, BC = 30 meters
We need to find the height of the flagpole i.e., we need to find the distance AB.
Consider a tan(∠ACB )
[tex]\Rightarrow tan(18^{\circ})=\frac{AB}{BC}\\\\ \Rightarrow 0.3249 = \frac{AB}{30}\\\\ \Rightarrow AB=9.747 ~~meters\\\\\Rightarrow AB\approx 10~~meters[/tex]
Therefore, the height of the flagpole is 10 meters.
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a. About how much does a textbook weigh? b. About how much does a car weigh? c. About how much does a mosquito weigh? d. About how long is a textbook? e. About how long is a car?
Answer:
a. About 0.907185 kg to 2.72155 kg
b. About 1857 kg
c. About 0.005 g
d. About 0.75 feet
e. About 15 to 16 feet
Step-by-step explanation:
These are all estimated measurements and may vary across different regions and jurisdictions.
The table and the graph each show a different relationship between the same two variables, x and y:
How much more would the value of y be in the table than its value on the graph when x = 11?
Group of answer choices
A. 100
B. 165
C. 395
D. 440
Answer:
165
Step-by-step explanation:
its the answer trust me rank me brainiest
Answer:
B. 165
Step-by-step explanation:
Table: x = 11 and y = 770
Graph: x = 11 and y = 605
770 - 605 = 165
Which of the following pairs of triangles are similar?
Help please! I’m bad at math
Answer:
The answer should be 40
Step-by-step explanation:
85+55=140
180-140=40
check the picture below & help please!!
how many hours?
Answer:
I think it should be 11/3
HURRY PLEASE WILL MARK BRAINLIEST!!!!!
Answer: 80 perhaps
Step-by-step explanation:
Answer:
the answer is c 40 ft because to find the area is half of base times height
Step-by-step explanation:
8 times 10 = 80
80/2= 40
A group from school went on a field trip to visit the State Capitol. There were 61 total people. Approximately 15% of these adults. The rest were students. How many of the group was students?
Answer:
52 students or 51
Step-by-step explanation:
Jim is mailing packages. Each small package costs him $3.20 to send. Each large costs him $4.70. How much will it cost him to send 1 small package and 4 large packages?
Answer:
$3.20 for the small and $4.70 for the large packages.
Step-by-step explanation:
multiply 3.20 by 1 since that is the price of mailing a small package and you want to mail 1.
multiply 4.70 by 4 since that is the price of a large one and you want to mail 4.
3.20 x 1 =3.20
4.70 x 4=18.80
Whoever answers this question gets brainly
The instructions on a bottle of cough medicine state
that the dose for an adult is 20 milliliters. Tom’s
measuring device is marked in teaspoons. How many
teaspoons will Tom take for 2 doses during the day?
(Hint: 1 tsp ≈ 5 mL)
A 4 tsp
B 8 tsp
C 10 tsp
D 40 ts
Answer:
40
Step-by-step explanation:
Answer:
4.05768272
Step-by-step explanation:
State the domain: a) 1/x
PLEASE HELP END OF 1/4 IS TODAY
Answer:
Let's try C
Step-by-step explanation:
If Sheila drove 152 km at an average speed of 95 km/h, how much time did her trip take?
(NEED TO SHOW YOUR WORK)
1.6 hours
152 km total divided by her speed, 95 km/h =1.6
simply the expression in the simplest form
Answer:
[tex]\frac{\sqrt[3]{20}}{5}[/tex]
Step-by-step explanation:
Let [tex]x = \sqrt[3]{\frac{4}{25}}[/tex], we proceed to show the procedure to determine the simplest form of this number:
1) [tex]\sqrt[3]{\frac{4}{25} }[/tex] Given.
2) [tex]\left(\frac{4}{25}\right)^{1/3}[/tex] Definition of cubic root.
3) [tex][4\cdot (25)^{-1}]^{1/3}[/tex] Definition of division.
4) [tex](4)^{1/3}\cdot [(25)^{-1}]^{1/3}[/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
5) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{1/3}\} \cdot \{[(25)^{-1}]^{2/3}\cdot [(25)^{-1}]^{-2/3}\}[/tex] Modulative and associative properties/Existence of multiplicative inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
6) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot \{[(25)^{-1}]^{1/3}\cdot [(25)^{-1}]^{2/3}\}[/tex] Commutative and associative properties
7) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot (25)^{-1}[/tex] [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
8) [tex][(4)^{1/3}\cdot (25)^{2/3}]\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]
9) [tex][4\cdot (25)^{2}]^{1/3}\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
10) [tex](2500)^{1/3}\cdot (25)^{-1}[/tex] Definition of power and multiplication.
11) [tex][(125)\cdot (20)]^{1/3}\cdot (25)^{-1}[/tex] Definition of multiplication.
12) [tex](125)^{1/3}\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Associative property.
13) [tex]5\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] Definition of cubic root.
14) [tex]5\cdot [(20)^{1/3}\cdot (5)^{-1}\cdot (5)^{-1}][/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
15) [tex][(20)^{1/3}\cdot (5)^{-1}][5\cdot (5)^{-1}][/tex] Commutative and associative properties.
16) [tex](20)^{1/3}\cdot (5)^{-1}[/tex] Existence of multiplicative inverse/Modulative property
17) [tex]\frac{\sqrt[3]{20}}{5}[/tex] Definitions of cubic root and division/Result
The measures of the acute angles of a right triangle are in the ratio 5:7
Answer:
37.5:52.5
Step-by-step explanation:
5u + 7u = 90
12u = 90
u = 7.5
So the angles are (5x7.5) =37.5 degrees
(7x7.5) = 52.5 degrees.
In the first week of July, a record 1100 people went to the local swimming pool. In the second week, 125 fewer people went to the pool than in the first week. In the third week, 130 more people went to the pool than in the second week. In the fourth week, 280 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
factorize: a^4+2xa³+a²x²-y^4
Answer:
(a^2+ax-y) (a^2+ax+y^2)
Step-by-step explanation:
a^4+2xa³+a²x²-y^4
(a^2+ax)^2-y^4
(a^2+ax-y) (a^2+ax+y^2)
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Answer:
(a^2 +ax -y^2)·(a^2 +ax +y^2)
Step-by-step explanation:
This can be factored as the difference of squares.
a^4 +2a^3x +a^2x^2 - y^4 = a^2(a+x)^2 - y^4
= (a(a+x) -y^2)(a(a+x) +y^2)
= (a^2 +ax -y^2)·(a^2 +ax +y^2)
Find the value of x
Step-by-step explanation:
(4x-7)°=(7x-61)°
61-7=7x-4x
54=3x
x=18°