Answer:
x = y+9/4
Step-by-step explanation:
if you were trying to rearrange to make x the subject. Take minus 9 to another side which will be plus 9, then divide y+9 by 4
what does B equal ??
Answer:
-1
Step-by-step explanation:
B-value: The b-value is the middle number, which is the number next to and multiplied by the x; a change in the value of b affects the parabola and the resulting graph.
there are eight teaching assistants available for grading papers in a college course. the first exam consists of four questions, and the professor wants a different assistant grading each question (one assistant per question). in how many ways can assistants be chosen to grade the exam?
There are 1680 ways the teaching assistants can be chosen to grade the exam.
To determine the number of ways the teaching assistants can be chosen to grade the exam, we need to consider the number of choices available for each question and multiply them together.
For the first question, there are eight teaching assistants available. Therefore, there are 8 choices for the first question.
For the second question, since one assistant has already been assigned to the first question, there are seven remaining assistants available. Thus, there are 7 choices for the second question.
Similarly, for the third question, there are six remaining assistants available after two have been assigned to the previous questions. Hence, there are 6 choices for the third question.
Lastly, for the fourth question, there are five remaining assistants available after three have been assigned to the previous questions. Therefore, there are 5 choices for the fourth question.
To determine the total number of ways, we multiply the number of choices for each question:
Total ways = 8 * 7 * 6 * 5 = 1680
Therefore, there are 1680 possible approaches to select the teaching assistants to grade the exam.
for such more question on number of ways
https://brainly.com/question/4344214
#SPJ8
The simple interest on a sum of money invested at 3% per annum for 2 years was $39.75.
Calculate the sum of money invested
Answer:
$37.50
Step-by-step explanation:
\(P+Prt=39.75 \\ \\ P+P(2)(0.03)=39.75 \\ \\ 1.06P=39.75 \\ \\ P=\$37.50\)
A cylinder and a cone have the same volume. The cylinder has a radius of 8 inches and a height of 6 inches. The cone has a radius of 12 inches. What is the height of the cone?
Answer: \(8\ in.\)
Step-by-step explanation:
Given
Radius and height of cylinder is 8 and 6 inches
Similarly the radius of cone is 12 inches
If they have same volume
Equate the volume of cylinder and cone
\(\Rightarrow \pi r^2h=\dfrac{1}{3}\pi r'^2h'\\\\\Rightarrow \pi \cdot 8^2\times 6=\dfrac{1}{3}\pi \cdot 12^2\times h\\\\\Rightarrow h=\dfrac{64\times 18}{144}\\\\\Rightarrow h=8\ in.\)
Therefore , the height of cone is 8 in.
When plotting an ordered pair, X comes before Y
Answer:
True
Step-by-step explanation:
I always remember it, over then up
f(n) = -5n
what is n?
6n because 5n +n =6 its probably wrong so hope its right??????
A triangular prism is 12 meters long and has a triangular face with a base of 8 meters and a height of 9 meters. What is the volume of the triangular prism?
The volume of the triangular prism is 216 cubic meters.
To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.
Calculate the area of the triangular base.
The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.
Plugging in the values, we get:
Area = (1/2) * 8 meters * 9 meters = 36 square meters.
Multiply the area of the base by the length of the prism.
The length of the prism is given as 12 meters.
Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.
Adjust for the shape of the prism.
Since the prism is a triangular prism, we need to divide the volume by 2.
Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.
Therefore, the volume of the triangular prism is 216 cubic meters.
For more such information on volume of triangular prism, visit:
https://brainly.com/question/31637705
#SPJ8
find the sales tax for A cd if the cd cost $14.29 and the sales tax is 7.25%
Answer:
the sales tax is 1.036 if you solve in this equation 7.25/100*14.29
GCF FACTORING
factor the expression completely.
5x-6x^3
Answer: x(5-6x^2)
Step-by-step explanation:
Calculate minimum and maximum frequency for acoustic
and optic mode.
( short question (
The specific range depends on the material properties and the energy levels involved.
The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.
Acoustic Mode:
The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.
The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.
The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.
Optic Mode:
The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.
The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.
The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.
It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.
To know more about Frequency related question visit:
https://brainly.com/question/32280350
#SPJ11
a segment has length 5 and one of the end points is (6,-3). The other is (x,1)
Find x
Answer:
I have no idea sorry
Step-by-step explanation:
f(x) = 3x² + 4x – 6
g(x) = 6x3 – 5x2 – 2
Find (f – g)(a).
Step-by-step explanation:
(-6x^3+8x^2+4x-4)
option D is correct answer
Answer:A
Step-by-step explanation:
A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?
Answer:
B
Step-by-step explanation:
since rye bagels come first after plain bagels, rye bagel is 13 & plain bagel is 8 so 13:8 is the answer!
Jillian has $2000 in credit card debt. Every month, she pays $200 to the credit card company at the beginning of the month, the credit card company applies a 2% monthly interest rate to the balance at the end of the month, and her balance is always rounded to the nearest cent. After the end of five months, what is her ending balance after interest?
After five months of making payments and paying interest, Jillian's ending balance is $1020.10.
What is Interest?
In mathematics, interest is the amount of money that is charged or earned by a lender or borrower, respectively, for the use of borrowed money or investment capital. It is typically expressed as a percentage of the principal amount and can be simple or compound, depending on the terms of the loan or investment.
To calculate Jillian's ending balance after five months of making payments and paying interest, we can use the following steps:
Calculate the balance after each payment:
After the first payment, the balance is 2000 - 200 = 1800.
After the second payment, the balance is 1800 - 200 = 1600.
After the third payment, the balance is 1600 - 200 = 1400.
After the fourth payment, the balance is 1400 - 200 = 1200.
After the fifth payment, the balance is 1200 - 200 = 1000.
Calculate the balance after applying the interest rate each month:
After the first month, the balance is 1800 * 1.02 = 1836.
After the second month, the balance is 1600 * 1.02 = 1632.
After the third month, the balance is 1400 * 1.02 = 1428.
After the fourth month, the balance is 1200 * 1.02 = 1224.
After the fifth month, the balance is 1000 * 1.02 = 1020.
Round the balance to the nearest cent:
After the first month, the balance is $1836.00.
After the second month, the balance is $1632.72.
After the third month, the balance is $1428.73.
After the fourth month, the balance is $1224.24.
After the fifth month, the balance is $1020.10.
Therefore, after five months of making payments and paying interest, Jillian's ending balance is $1020.10.
To learn more about Interest from the given link
https://brainly.com/question/25793394
#SPJ1
A bricklayer lays 4 bricks the first day of the job. On each day thereafter, he lays three times the number of bricks he laid on the previous day. If he continues this pattern, how many bricks in total will he have laid at the end of the fifth day? Responses 10 bricks 10 bricks 24 bricks 24 bricks 324 bricks 324 bricks 484 bricks
At the end of the fifth day, a bricklayer has laid 324 bricks on the job.
What is multiplication?Multiplication is a mathematical arithmetic operation.
It is also a process of adding the same types of expression to some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given, a bricklayer lays 4 bricks on the first day on the job.
On each day thereafter, he lays three times the number of bricks he laid on the previous day.
And he continued his pattern.
Let x be the number of bricks he laid in the previous day.
Then according to the question,
The number of bricks in total is = 3x
For the second day, x =4
Number of the bricks he laid on the second day = 12
Now the x =12 for the third day.
Number of the bricks he laid on the third day = 36
Now x = 36 for the fourth day.
Number of the bricks he laid on the fourth day = 108
Now the x = 108 for the fifth day.
Number of the bricks he laid on the fifth day = 324
Therefore, 324 bricks he has laid at the end of the fifth day.
To learn more about the multiplication;
https://brainly.com/question/19634536
#SPJ1
fined the answer 4d+5d
Answer:
9d
Step-by-step explanation:
(4+5)d
Answer:
9d
Step-by-step explanation:
Determine if the following function is even, odd, or neither.. . f(x) = –9x^4 + 5x + 3. Show step-by-step solution.
Answer:
96/45
Step-by-step explanation:
56
847748
38303[
Is (-4, 15) a solution to the equation y = -2x + 5? How do you know (PLEASE EXPLAIN HOW YOU KNOW)?
Answer:
Not a solution.
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
y = -2x + 5
Solution (-4, 15)
Step 2: Check
Substitute: 15 = -2(-4) + 5Multiply: 15 = 8 + 5Add: 15 ≠ 13Here we see that 15 is NOT equal to 13. Therefore, it is NOT a solution to the equation.
Write a recursive formula for the nth term of the sequence 5,12,19,26,....
Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.
what is sequence ?A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.
given
The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).
The following is a definition of a recursive formula for the nth element of the sequence:
a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)
For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.
Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have
a_2 = a_1 + 7 = 5 + 7 = 12
a_3 = a_2 + 7 = 12 + 7 = 19
a_4 = a_3 + 7 = 19 + 7 = 26
To know more about sequence visit:
https://brainly.com/question/21961097
#SPJ1
Kevin has a checking account. This month he deposits three paychecks. Each paycheck is for $225.75. He also makes two payments for utilities. Each payment is for $75. He makes a third payment for $125. What is the approximate change in Kevin’s account? Show your work
The approximate change in Kevin’s account is $402.25.
What are the algebraic operations?
Any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots, are considered basic algebraic operations in mathematics (fractional power).
Expressions of the algebraic variety typically have three components: variables, constants, and coefficients. Addition, subtraction, multiplication, and division are the four fundamental operations. We solve both complex and straightforward equations using operations on algebraic expressions.
Given Kevin deposits three paychecks. Each paycheck is for $225.75.
The total deposit amount in the account is (3 × 225.75) = $677.25
He also makes two payments for utilities. Each payment is for $75. He makes a third payment for $125.
Total payment that he made is (2 × 75) + 125 = 150 + 125 = $275
The approximate change in Kevin’s account is
$677.25 - 275
= $402.25
To learn more about operations, click on the below link:
https://brainly.com/question/29155482
#SPJ1
8x-12=-8x-12
What is the answer to this equation
Answer:
Any value for x will always be true
Step-by-step explanation:
Step 1: Add 8x to both sides
Step 2: Add 12 to both sides.
Step 3: Divide both sides by 16.
x=0 (Any value)
what is the value of r of the geometric series?
Value of r is different for every series
let
a , b , c , d ..... be geometric series then
r = b/a or d/c and so on
where r is common ratio
Lol, it seems like nobody helps anyone here anymore. It’s just full of bots
Answer:
Nah i gotcha, I'm always helping around people, as long as i understand the question myself Imfao
I need help please! I can't figure it out!
Answer:
answer is in the picture.
question 1 why is proficiency in statistics an important skill for a data analyst?
Proficiency in statistics is a vital skill for a data analyst because it helps in analyzing and interpreting data and thereby making informed decisions based on the analyzed data.
Data analysts are responsible for ensuring that an organization's data is correct, and they do this by collecting and analyzing data. Statistics is a branch of mathematics that provides a way to systematically collect and analyze data. Statistical analysis provides a framework for identifying trends, patterns, and relationships in data and helps to understand the underlying mechanisms that produce them. It is important for a data analyst to have a good understanding of statistical methods because they need to use these techniques to analyze and interpret data. Furthermore, the statistical techniques used in data analysis help to identify patterns, relationships, and trends that may not be immediately apparent from the data. In conclusion, proficiency in statistics is an essential skill for a data analyst as it helps to make informed decisions based on data and ensures that an organization's data is accurate.
To know more about Data visit-
https://brainly.com/question/29117029
#SPJ11
Compare an angle having a measure of 120° With that of an angle whose measure is five pi over 6 rad explain your reasoning
Answer:
Step-by-step explanation:
et A=120°
and B=5Pi /6
Pi radians ---------> 180°
x<----------------------- 120°
so x =120 x Pi / 180 = 12 xPi / 18 = 2 Pi/3
so A = 2Pi / 3 radian
let 's compare A and B
we know that 5Pi /6 = 0.8 Pi and 2P/3= 0.6 Pi, 0.8>0.6,
finally 5Pi /6 > 2P/3
so B>A
(-15)-(-18) divided by 3
Answer:
The answer is (-9)
Step-by-step explanation:
The solution is, the result of the division is 1.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
given that,
(-15)-(-18)
now we have to divide this by 3
so, we get,
(-15)-(-18) /3
now,
(-15)-(-18)
= -15 + 18
=3
so, we have,
(-15)-(-18) /3
=3 /3
=1
Hence. The solution is, the result of the division is 1.
To learn more on division click:
brainly.com/question/21416852
#SPJ3
If 9 avocados cost $5, how much do 18 avocados cost? (find unit rate then multiply by 18)
Answer:
For this problem, you could just multiply $5 by 2 OR you could divide $5 by nine to find your Unit Rate and then multiply that number by 18.
Suzanne says the two expressions 2(3a – 2) 4a and 2(5a – 2) are equivalent? is she correct? explain why or why not?
The expressions 2(3a - 2) and 2(5a - 2) are not equivalent. Since these two results are different, we can conclude that Suzanne's claim is incorrect.
To determine if two expressions are equivalent, we need to simplify them and see if they have the same result. Let's start by simplifying the first expression, 2(3a - 2):
2(3a - 2) = 2 * 3a - 2 * 2
= 6a - 4
Now, let's simplify the second expression, 2(5a - 2):
2(5a - 2) = 2 * 5a - 2 * 2
= 10a - 4
After simplifying both expressions, we can see that they are not the same. The first expression simplifies to 6a - 4, while the second expression simplifies to 10a - 4.
To know more about expressions visit:
https://brainly.com/question/28170201
#SPJ11
HELP
Malik has some dimes and some quarters. He has at most 20 coins worth no less than
$2.75 combined. If Malik has 11 dimes, determine the minimum number of quarters
that he could have. If there are no possible solutions, submit an empty answer.
11 dimes = $1.10
Since he has at most 20 coins , he should have 9 quarters or less.
Because he has no less than $2.75, that means he should have at least 2.75 - 1.10 = $1.65 worth of quarters.
-> He has 1.65 : 0.25 = 6.6 (quarters)
-> He has to have a minimum of 7 quarters.
Malik must have no less than 7 quarters. With his 11 dimes, this gives him a total of 18 coins and a combined value of no less than $2.75.
Explanation:Firstly, it's important to remember the value of coins in US dollars: a dime is worth $0.10 and a quarter is worth $0.25. Malik has 11 dimes, which is worth $1.10 ($0.10 * 11). To get at least $2.75, Malik needs at least $1.65 more ($2.75 - $1.10).
We can find out the number of quarters needed by dividing the amount needed by the quarter's value. So, Malik needs at least $1.65/$0.25 = 7 quarters.
Therefore, the minimum number of quarters Malik could have given these constraints is 7 quarters. Remember: this balances to provide him with at least $2.75 while keeping his total number of coins no more than 20.
Learn more about coin problem here:https://brainly.com/question/31961815
#SPJ2