Step-by-step explanation:
r = c/2π
Find the 8th term of the geometric sequence 3, -12, 48, ...
Answer:
a(8) = -49152
Step-by-step explanation:
Step 1: Find r
-12/3 = 4
Step 2: Write geometric explicit formula
[tex]a_{n} = 3(4)^{n-1}[/tex]
Step 3: Plug in 8th term for n
[tex]a_{8} = 3(4)^{7}[/tex]
a(8) = -49152
Alternatively you can find r then multiply 3 by -4 8 times.
Evaluate: (-2/3*3/4) -1
Answer:
[tex] = ( - \frac{2}{3} \times \frac{3}{4}) \times ( - 1) [/tex]
[tex] = \frac{( - 2) \times ( - 1)}{4} [/tex]
[tex] = \frac{ + 2}{4} [/tex]
[tex] = + \frac{1}{2} [/tex]
Here's your answer girlfriend
Please follow me
HELP! 30 POINTS!
Q4. An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
(a) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw (
b) Use the possibility diagram to calculate the probability that the product of the two numbers is
I) A prime number
ii) Not a perfect square
iii) A multiple of 5
iv) Less than or equal to 21
v) Divisible by 4 or 6
Answer: i) 12.5% ii) 87.5% iii) 23.4%
Step-by-step explanation:
There are two die, each with 8 sides so the total number of outcomes is 8²
i) Product is a prime number --> 2, 3, 5, 7
Since it is a prime we only have the option of one die being a 1 and the other being the prime number.
So possible successful outcomes is: (1, 2), (1, 3), (1, 5), (1, 7), (7, 1), (5, 1), (3, 1), and (2, 1) = 8 options.
[tex]\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{8}{8^2}=\dfrac{1}{8}=\large\boxed{12.5\%}[/tex]
ii) Not a perfect square. Let's find the probability that it IS a perfect square and subtract that value from the total (64).
Product IS a perfect square --> 1, 4, 9, 16, 25, 36, 49, 64
Possible successful outcomes of a perfect square: (1, 1) (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (7, 7), (8, 8) = 8 options.
Product is NOT a perfect square = 64 - 8 = 56 options
[tex]\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{56}{8^2}=\dfrac{7}{8}=\large\boxed{87.5\%}[/tex]
iii) Product is a multiple of 5 --> 5, 10, 15, 20, ,25, 30, 35, 40,
Possible successful outcomes of a multiple of 5: (1, 5), (2, 5), (3, 5), (4, 5), (5, 5), (6, 5), (7,5), (8, 5), (5, 8), (5, 7), (5, 6), (5, 4), (5, 3), (5, 2), (5, 1) = 15 options
[tex]\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{15}{8^2}=\dfrac{15}{64}=\large\boxed{23.4\%}[/tex]
You are limited to 3 questions on Brainly so hopefully you can follow what I did to answer the last two questions (less than or equal to 21) and (divisible by 4 or 6). If not, please post this question again and state "Need iv and v only".
there are only blue cubes, yellow cubes and green cubes in a bag there are 3 times as many blue cubes as yellow cubes and five times as many green cubes as blue cubes Sarah takes a random cube from the bag. what is the probability she takes a yellow cube give your answer in its simplest form.
Answer:1/11
Step-by-step explanation:
Let the yellow cubes be x
yellow = x
blue = 2x // Blue cubes is twice of yellow
Green = 8x // Green is four times of blue
Ratio:
Yellow : Blue : Green
1 : 2 : 8
P(Yellow) = 1/11
Twelve and one fourth plus three and one third equals what
Answer:
15.5833333333 or 15 7/12
Step-by-step explanation:
When you less simplify 1/4 and 1/3, we get 3/12 and 4/12. So, when you add those two fractions, you get 7/12. Now, we add 12 and 3 to get 15. Hence,
the two fractions given equal to 15 7/12.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
62/12 or 5 and 2/12
Step-by-step explanation:
twelve × 4=48 3×3=9 you then change the fourths and the thirds into twelfths. by rinsing the top and bottom by how much you need to, in this case 4×3 and 3×4. Now you've got 52/12+12/12, which equals 62/12 or 5 and 2/12
in the year 2012 a farmer harvested 144 bags of maize.the following year the harvest decreased in the ratio 3:4.What was the total number of bags harvested for the two years
Answer:
252 bags of maize
Step-by-step explanation:
From the question, we are told that a farmer harvested maize
In the year 2012 = 144 bags of maize
In the year 2013(following year) the harvest decreased in the ratio 3:4
This means
3:4 = 2013: 2012.
Where number of bags harvested in 2013 = unknown = x
3/4 = x/ 144
Cross multiply 4x = 3 × 144
x = 3 × 144/ 4
× = 108
This means 108 bags of maize was harvested in 2013
The total number of bags harvested is = 108 + 144
= 252 bags of maize.
Find the maximum and minimum values by evaluating the equation, C = 4x - 3y at the critical points of the restrictions include the following (picture)
a. minimum: -32; maximum: 45
b. minimum: -45; maximum 32
c. minimum: -45, maximum: -32
d. minimum: 32; maximum: 45
Answer:
fsdfsdf
Step-by-step explanation:
ghlvlc
Add, and write the answer in simplest form.
1/16 + 9/16
Answer:
5/8
Step-by-step explanation:
Step 1: Add
1/16 + 9/16 = 10/16
Step 2: Divide both numerator and denominator by 2
10/2 = 5
16/ 2 = 8
Our answer is 5/8!
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
1 + 9 = 10
same denominator so it stays the same
[tex]\frac{10}{16}[/tex] ÷ [tex]\frac{2}{2} = \frac{5}{8}[/tex]
Which expression is closest in value to 5.66?
Answer:
give me the rest of the question/ a picture or something then i can answer
Step-by-step explanation:
Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?
(–4, 2)
(–1, 4)
(1, 3)
(2, –3)
Answer:
C 1/3
Step-by-step explanation:
got it right on edge :)
Here are four fractions.
A.
B. § c.
10
Look at the number line below.
Write the letter for each fraction in the correct box.
0.5
Hey! I am not stealing points, but pls complete your question. Which number line are you asking about? Where is the number line image?
Also, where is the option A?
Pls complete your question.
how many times does the quadratic function below intersects the X axis?
Answer:
D. 0
Step-by-step explanation:
discriminant = b^2 - 4ac = 3^2 - 4(1)(15) = 9 - 60 = -51
Since the discriminant is negative, this equation has no real solutions. Therefore, the graph does not intersect the x-axis.
Answer: D. 0
How many sides does a pentagon have? A pentagon has number sides.
Answer:
5
Step-by-step explanation:
A pentagon is a polygon that has 5 sides.
Answer:
A pentagon has 5 sides
Step-by-step explanation:
penta, often means 5.
^3 square root of 1
please help
Answer:
1
Step-by-step explanation:
=> [tex]\sqrt[3]{1}[/tex]
=> [tex]\sqrt[3]{1*1*1}[/tex]
=> [tex]\sqrt[3]{1^3}[/tex]
=> 1
A rectangle has a length 2 cm larger than its width.
(a) If the perimeter of the rectangle is 14 cm, what are the dimensions of the reciangle?
(b) If the area of the rectangle is 63 cmwhat are the dimensions of the rectangle?
(a) The width of the rectangle is cm, and the length of the rectangle is cm.
(Type an integer or a decimal)
>
A carton contains 20 shirts, of which q are made of pure cotton. After 4 more pure cotton shirts are added to the carton, the probability of drawing a pure cotton shirt becomes 3/4, find the value of q.
Answer:
14
Step-by-step explanation:
Mathematically, the probability of drawing a pure cotton shirt = number of cotton shirts/Total number of shirts
Firstly , we are to calculate the number of cotton shirts after the addition of the new four
Thus;
Total number of shirts is now = 20+4 = 24
Let the number of cotton shirts be x after the addition
3/4 = x/24
24 * 3 = 4x
x = 72/4
x = 18
Now kindly recall that q became x only because we added 4 new extra cotton shirts
So the number of cotton shirts before the addition = 18-4 = 14
what is the slope of this line
Answer:
-2
Step-by-step explanation:
9 1/3 divided by 7 what is the answer i am having trouble?
Answer:
4/3
Step-by-step explanation:
9 1/3 ÷ 7
Convert the mixed fraction to improper fraction.
28/3 ÷ 7
Reciprocal second fraction.
28/3 × 1/7
Multiply the fractions.
28/21
Simplify the fraction.
4/3
Answer:
[tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
=> [tex]9 \frac{1}{3} / 7[/tex]
=> [tex]\frac{28}{3} * \frac{1}{7}[/tex]
=> [tex]\frac{4}{3}[/tex]
=> [tex]1\frac{1}{3}[/tex]
PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!
Answer:
hi i did calculations and my ans is coming (A) 8x - 12
Step-by-step explanation:
A t-shirt increased in price by 14. After the increase it was priced at £30. What was the original price of the t-shirt?
Answer:
Either £16 or £26.32 depending on what you meant in the question
Step-by-step explanation:
I'm going to answer the question in 2 ways, since I'm not sure if you mean £14 or 14%
If its £14, then the original price is 30-14 = £16
If its 14% then that means after the increase, the shirt will be 100%+14% of the original price or 114% of the original price.
This means that
£30 = 114%
To make it easier, reduce the 114% to 1 %
1% = 30/114
1% = £0.26316
100% = £26.32 (rounded to 2 decimal places)
Therefore the original price was £26.32
Please help someone please
Answer:
6(x +8)
Step-by-step explanation:
Factorising:
6x + 48
Take 6 as common, Therefore:
6(x +8)
Because:
6 * x = 6x
6 * 8 = 48
therefore:
6x + 48 = 6(x + 8)
Hope it helped!!!
Triangle ABC is dilated about the origin by a factor of 2, reflected in the x-axis, rotated 180°, and translated 2 units to the right and 4 units down to form triangle XYZ. Which statement is true? a. The two triangles are congruent because the each transformation is a rigid motion. b. The two triangles are not congruent because the orientation is changed. c. The two triangles are congruent because the orientation did not change. d. The two triangles are not congruent because dilation is not a rigid motion.
Answer:
d. The two triangles are not congruent because dilation is not a rigid motion.
Step-by-step explanation:
Triangle ABC is dilated about the origin b a factor of 2. It is then reflected and translated to form Triangle XYZ.
The new triangle formed is not congruent to ABC because the image is not the same size as the pre-image. It is only rigid transformations that preserve length, however dilation is not a rigid transformation.
Please help me with this maths homework
Answer:
The transformation is
reflection in the x axis
That's ( x , - y)
Hope this helps.
Each term in the sequence below is 2 less than 1/2 the previous term. What term of the sequence will be the first term to be a negative number?
256, 126, 61, 28.5, ....
Plz explain
Answer:
8 th term
Step-by-step explanation:
Continuing the sequence from the last term given (term 4 )
a₅ = 0.5 × 28.5 - 2 = 14.25 - 2 = 12.25
a₆ = 0.5 × 12.25 - 2 = 6.125 - 2 = 4.125
a₇ = 0.5 × 4.125 - 2 = 2.125
a₈ = 0.5 × 2.125 - 2 = 1.0625 - 2 = - 0.9375 ← negative
The first term to be negative is term 8
What is the total value in cents of x quarters, y nickels, and z pennies?
Answer:
25x + 5y + z cents
Step-by-step explanation:
1 quarter is worth 25 cents.
1 nickel is worth 5 cents.
1 penny is worth 1 cent.
Therefore, x quarters, y nickels and x pennies will be worth:
(x * 25) + (y * 5) + (z * 1)
= 25x + 5y + z cents
On your own paper graph each system of equations and then describe it:
y=x+4
Y= -x-4
Select one:
a. inconsistent
b. consistent and dependent
C. consistent and independent
d. can not be determined
Answer:
The system of equations is consistent and independent
Step-by-step explanation:
Given system of equations :
[tex]y=x+4\\y= -x-4[/tex]
Consistent : For a two variable system of equations to be consistent the lines formed by the equations have to meet at some point or they have to be parallel.
Inconsistent :If the system of equations is not consistent then it is inconsistent.
Dependent:A dependent system of equations has infinite solutions
Independent :An independent system has a single solution.
Plot the lines on graph
y=x+4 --- Blue line
y=-x+4 ---- Green line
Refer the attached graph
The lines formed by the equations intersect at one point
So the lines are consistent
Now the given system of equations has single solution . So, it is independent
So, Option C is true
Hence The system of equations is consistent and independent
each of the letters in the word SNOWFLAKE are on seperate cards face down on the table. If you pick a card at random, what is the probaility that the letter on it will fall within the range of "L" and "T" in the alphabet?
Answer:
1:9 probability it will fall on "L" and there is a 0:9 probability it will fall on "T" because "SNOWFLAKE" doesn't have the letter "T" in it.
what is the length of BC in the right triangle below
Answer:
15 unitsThe length of BC is 15 units.
Solution,
Hypotenuse(h)=?
perpendicular(p)=12
base(b)=9
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {h}^{2} = {12}^{2} + {9}^{2} \\ or \: {h}^{2} = 12 \times 12 + 9 \times 9 \\ or \: {h}^{2} = 144 + 81 \\ or \: {h}^{2} = 225 \\ or \: h = \sqrt{225} \\ or \: h = \sqrt{ {15}^{2} } \\ h = 15[/tex]
hope this helps...
Good luck on your assignment....
Which of the following expressions have a quotient of –2? Check all that apply. –12 ÷ –6 –12 ÷ 6 –6 ÷ –3 6 ÷ –3 –6 ÷ 3
Answer:
12 ÷ –6, –12 ÷ 6, 6 ÷ –3, –6 ÷ 3
Step-by-step explanation:
Ignore the negative signs. If their quotient is 2 and only 1 of the 2 numbers have a negative sign, they make -2.
Answer:
2
4
And 5
Step-by-step explanation:
the sum of two consecutive odd numbers is 88 find the numbers
Answer:
43,45
Step-by-step explanation:
43+45=88
Answer:
43 & 45
Step-by-step explanation:
Let the numbers be x, x+2 (because they are consecutive i.e. coming one after another)
Condition:
x + x+2 = 88
2x = 88-2
2x = 86
Dividing both sides by 2
x = 43
Now, the numbers:
x = 43
x+2 = 45