Answer:
The constants,
✔ 1 and 9
, are like terms.
✔ j and 6j
are like variable terms.
Combine the constant terms by
✔ subtracting 1 from 9
.
Combine like variable terms by adding the
✔ coefficients, 1 and 6
.
The equivalent expression is
✔ 7j – 2k + 8
.
Step-by-step explanation:
The equivalent expression is 7j – 2k + 8.
Calculation of the equivalent expression:Since the constant are 1 and 9
So here the terms should be j and 6j that are considered as the variable terms
Now we have to subtract 1 from 9
So,
Here the coefficient should be added 1, and 6
Therefore, The equivalent expression is 7j – 2k + 8.
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.
Prove The Following
------------------------------
Answer: WAP if yu dont understand look up videos of WAP
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
m < PCA = m < CAD ( alternate angles)
m < BAD = m <CAD ( given)
Also m < CAB = m < PCA + m < CPA ( exterior angle of a triangle theorem).
Also m < CAB = m< CAD + m < BAD (given)
So m < PCA + m < CPA = m < CAD + m < BAD
But m < PCA = m < CAD
so m < CAD + m < CPA = m < CAD + m BAD
So m < CPA = m < BAD
But m < PCA = m < CAD = m BAD
therefore m < CPA = m < PCA
That makes triangle CAP isosceles
Therefore AP = AC.
How can it be done? Fill in the blank.
6,938 is_____6,822
Answer:
greater than
Step-by-step explanation:
6,938 is greater than 6,822 by 116
10
Southside High School has a total of 1824 students. There are 84 fewer girls at Southside than boys.
Write an expression you can use to find out how many boys, b, there are at Southside.
How many boys are students at Southside High?
How many girls are students at Southside High?
Answer:
The expression you can use to find out how many boys is b + (b - 84) = 1824
There are 954 boys at Southside High School
There are 870 girls at Southside High School
Step-by-step explanation:
Assume that the number of boys in the Southside High School is b
∵ There are b boys in the Southside High School
∵ The number of girls is 84 fewer than boys
→ Subtract 84 from b to find the number of girls
∴ The number of girls in the Southside High School is (b - 84)
∵ Southside High School has a total of 1824 students
→ That means the sum of the numbers of the boys and the girls is 1824
∴ b + (b - 84) = 1824
∴ The expression you can use to find out how many boys is
b + (b - 84) = 1824
→ Add the like terms in the left side
∴ (b + b) - 84 = 1824
∴ 2b - 84 = 1824
→ Add 84 to both sides
∵ 2b - 84 + 84 = 1824 + 84
∴ 2b = 1908
→ Divide both sides by 2 to find b
∵ \(\frac{2b}{2}=\frac{1908}{2}\)
∴ b = 954
∴ There are 954 boys at Southside High School
∵ The number of girls at Southside High School = b -84
→ Substitute b by 954
∴ The number of girls at Southside High School = 954 - 84
∴ The number of girls at Southside High School = 870
∴ There are 870 girls at Southside High School
does anyone know how to do this
Answer:
Step-by-step explanation:
tanx=4/12
x=arctan(4/12)
x=18.4 degrees
describe a brute-force approach to evaluating p(x), where p is a polynomial of degree n. what is the time complexity?
A brute-force approach to evaluate a polynomial of degree n involves directly substituting x into each term. The time complexity is O(n), increasing linearly with the degree.
A brute-force approach to evaluating a polynomial p(x) of degree n involves substituting the value of x into each term of the polynomial and summing them to obtain the final result. This method calculates the polynomial value directly based on its definition, without using any optimization techniques.
The time complexity of this approach is O(n), where n is the degree of the polynomial. Since we need to evaluate each term individually, the number of operations increases linearly with the degree of the polynomial. As a result, the time complexity grows proportionally with the degree of the polynomial.
For example, if the polynomial is of degree 3, evaluating p(x) using the brute-force approach requires three multiplications and two additions. Similarly, for a polynomial of degree 5, it would require five multiplications and four additions. Thus, the time complexity increases linearly with the degree of the polynomial.
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Using Trig to Find angles help I would appreciate it:0
In order to calculate the value of x, we can use the sine relation of angle x.
The sine relation is equal to the length of the opposite leg to the angle over the length of the hypotenuse.
So we have:
\(\begin{gathered} \sin (x)=\frac{RS}{QS} \\ \sin (x)=\frac{4.8}{5.5} \\ \sin (x)=0.8727 \\ x=\sin ^{-1}(0.8727) \\ x=60.78\degree \end{gathered}\)Therefore the value of x is 60.78°.
you deposit $5000 in an account that pays 2.25% annual interest. find the balance after 5 years when the interest is compounded quarterly. round your answer to the nearest cent.
The balance after 5 years when the interest is compounded quarterly is $5,593.60
Compound Interest:
Compound interest is the principal plus interest on a loan or deposit, or in other words, principal plus interest. It is the result of reinvesting interest, or adding it to the principal borrowed instead of paying it, or demanding payment from the borrower so that the next installment of interest is principal plus previously accrued interest. Compound interest is the norm in finance and economics.
Lets use the compound interest formula provided to solve this:
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 2.25% into a decimal:
2.25% > 2.25/100 > 0.0225
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
\(A = (1+\frac{0.0225}{4} )4(5)\\\)
Or, A = 5593.60
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Identify the segments that are parallel, if any, if
Answer:
The answer is C
Step-by-step explanation:
it is C because parallel lines don't intercept the go up or across but they don't touch, just imagine it isn't graphed.
Taylor has 5 yards of gold ribbons to decorate 8 costumes for the school play, she plans to use the same amount of ribbon for each costume. How many yards of ribbon will she use for each costume
Answer: 0.625 yards
explanation
5/8= 0.625
Answer:
dsfsfssf
Step-by-step explanation:
draining 15 gallons of water from a fish tank
(Write your answer as an integer)
Answer:
-15
Step-by-step explanation:
if its just asking for what number would represent a loss of 15 it would be negative 15
i dont know if there's more to the problem or not
Answer:
-15
Step-by-step explanation:
This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,
hope this helps!
Pls help. I’m having trouble with this last question
Answer:
The total area is 11x
Step-by-step explanation:
So if you split the model then the left side would be A=2x*3x which would be 6x because the 1 doesn't apply because we don't know what x is, so the area of the left side is 6x. Then the right side would be A=5*x which would just be 5x because again, we don't know the value of x, so the area of the left side is also 5x. Put the two together and BOOM- 11x!
Water is rushing down the slide at a rate of 1 half gallon every 3 seconds .At this rate , how many gallons of water rush down the slide each seconds ?
1/2 gallons of water rush down the slide each seconds.
Explain the method of unitary?The unitary approach involves calculating the value of a specific unit, from which we can calculate the values of the necessary number of units.The unitary method's formula is to identify the value of a specific unit, then multiply that value by the number of units to obtain the required value.For the given question-
Rate of running water = 1 half gallon every 3 seconds.
Rate of running water = 1 1/2 = 3/2 gallon every 3 seconds.
It means-
In every 3 seconds ----> 3/2 gallons water flows.
Thus for 1 sec, divide both side by 3.
1 seconds ----> 1/2 gallons water flows.
Therefore, 1/2 gallons of water rush down the slide each seconds.
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Need help fast pleasee??
Answer:
Option 3.) f(-3) = g(-3), since that x-value of the point of intersection
Hope this helps!
Fareeda is researching a paper for her astronomy class and has identified a book of star charts that she feels would be a useful resource. Unfortunately, neither the school nor the local city library has it in their collections, and it would be expensive to purchase. However, there is a copy of the book at another school's library, about 150 miles away. What would be the BEST way for Fareeda to obtain the book for her research
Step-by-step explanation:
I would suggest that she studies or do a cost analysis of what it will cost her to transport to the library to request for the book and return it, if it is not expensive as compared to the cost of the book she should travel down to request for it. else she should purchase the book
Or
Fareeda can simply check if the second library has a distant library services so that the book can be either
1. Sent to her home or placement address, or
2.Scans of book chapters and articles be emailed to her.
4Y - 1 when y = -5 PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer: -21
Step-by-step explanation: first you multiply 4 x -5 or 4(-5) - 1 4 x -5 would give you -20 and -20 - 1, since both are negative we add to get a total of -21 hope this helps.
trị tuyệt đối(x+1) = 3*x
u need first to understand the thing
Explain why the set of natural numbers {1,2,3,4,...} and the set of even numbers {2, 4, 6, 8, . . .} of positive even numbers
The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.
About the setsTwo important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.
The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.
Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.
Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}
On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.
Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.
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4. Laura rents a moving truck for a flat fee of $15.00 plus an additional $0.25 for
each mile she drives. Write a cost function that represents this scenario if x
equals the number of miles Laura drives.
Answer:
15.00+(0.25)x=c
Step-by-step explanation:
15.00+(0.25)x=c 15 is the flat out fee plus the 0.25 times the amoutn f miles then add 15+ the miles and you get the answer
It takes a smaller hose twice as long to fill a certain swimming pool as it does a larger hose. It takes both hoses working together 35 minutes to fill the pool. How long will it take the larger hose to fill the pool by itself
Answer: This has no answer
Step-by-step explanation:
The human brain cannot answer this……
Estimate the sum 73,404+27,865
Answer:
101269
Step-by-step explanation:
how much is 80c to f?
80 degrees Celsius is equivalent to 176 degrees Fahrenheit. To convert from Celsius to Fahrenheit, you must multiply the Celsius temperature by 1.8 and then add 32.
To convert from Celsius to Fahrenheit, you must use the formula C x 1.8 + 32 = F. This formula is used to convert between the two temperature scales and was created by the mathematician and physicist Carl Linnaeus in 1724. The Celsius scale is based on 0 degrees being the freezing point of water, and 100 degrees being the boiling point of water. The Fahrenheit scale is based on 32 degrees being the freezing point of water, and 212 degrees being the boiling point of water. To convert 80 degrees Celsius to Fahrenheit, the formula C x 1.8 +32 = F must be used. When this formula is applied to 80 degrees Celsius it can be seen that 80 degrees Celsius is equivalent to 176 degrees Fahrenheit. This is because when 80 is multiplied by 1.8, the result is 144. When 32 is added to 144, the final result is 176. Therefore, 80 degrees Celsius is equal to 176 degrees Fahrenheit.
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c. juan razona “si triplico mi peso y subo a una balanza con mi hermano que pesa 7 kg esta marcaria 127 kg” ¿Cuál es el peso de juan? Juan razona: "Si triplicó mi peso y
d. Si cuadriplicamos el peso que hay en una balanza y luego agregamos 4 kg obtenemos 12 kg ¿Cuántos kilos hay en la balanza?
e. 3X-4< X+ 2
f.. Cuántas manzanas hay en una canasta, si se sabe que el triple de las manzanas, más 9 es mayor que 90; y el doble de manzanas, menos 18, es menor que 40
c. juan razona “si triplico mi peso y subo a una balanza con mi hermano que pesa 7 kg esta marcaria 127 kg” ¿Cuál es el peso de juan? Juan razona: "Si triplicó mi peso y
d. Si cuadriplicamos el peso que hay en una balanza y luego agregamos 4 kg obtenemos 12 kg ¿Cuántos kilos hay en la balanza?
e. 3X-4< X+ 2
f.. Cuántas manzanas hay en una canasta, si se sabe que el triple de las manzanas, más 9 es mayor que 90; y el doble de manzanas, menos 18, es menor que 40
Answer:
Umm let me see
Step-by-step explanation:
Which number rounds to 326,000 when rounded to the nearest thousand?
Answer: 330,000
Step-by-step explanation: yes
salik: we need two quantitative variables for this project. wouldn’t number of siblings be categorical since it is whole numbers?
Salik and Maya are discussing a project that examines the relationship between the number of siblings someone has and their household income. Maya predicts that those with more siblings will have a higher household income. Salik questions whether the number of siblings is a categorical variable since it is a whole number. Our response can be : "In order to conduct this project, we need to choose two quantitative variables, which are variables that can be measured and expressed as numbers. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value."
The number of siblings is a quantitative variable because it can be expressed as a whole number. Household income is also a quantitative variable because it can be measured and expressed as a numerical value. Categorical variables are variables that can be divided into distinct categories or groups, such as gender, race, or occupation. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value.
To examine the relationship between the number of siblings and household income, Maya and Salik could use statistics to analyze their data. They could calculate descriptive statistics such as the mean and standard deviation for each variable, as well as the correlation coefficient to determine the strength and direction of the relationship between the two variables. They could also use probability theory to make predictions about the likelihood of certain outcomes, such as the probability that someone with more siblings will have a higher household income.
The complete question is:
Our classmates, Maya and Salik, are talking about the variables they want to study and how they plan to collect their samples. Here is part of their conversation. Respond in the places that say “your response.”
Double-check that both of their variables are quantitative.
Maya: I want to look at the relationship between the number of siblings someone has and the household income. I predict that those with more siblings have a higher household income.
Salik: We need two quantitative variables for this project. Wouldn’t number of siblings be categorical since it is whole numbers?
Your response:.........
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A number, c, is increased by 87% to give 8415.
Work out the original value of c.
The calculated value of the original value of c is 4500
Working out the original value of c.From the question, we have the following parameters that can be used in our computation:
A number, c, is increased by 87% to give 8415.
When represented as an equation, we have
c * (1 + 87%) = 8415
Make c the subject of the formula
So, we have
c = 8415/(1 + 87%)
Evaluate
c = 4500
Hence, the original value of c is 4500
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If K is the midpoint of JL, JK = 8x + 11 and KL = 14x – 1, find JL.
Answer:
\(JL=54\)
Step-by-step explanation:
We are given that K is the midpoint of JL. Using this information, we want to find JL.
By the definition of midpoint, this means that:
\(JK=KL\)
Substitute them for their equations:
\(8x+11=14x-1\)
Solve for x. Subtract 8x from both sides:
\(11=6x-1\)
Add 1 to both sides:
\(6x=12\)
And divide both sides by 6. Hence:
\(x=2\)
JL is the sum of JK and KL. Hence:
\(JK+KL=JL\)
Since JK = KL, substitute either one for the other:
\(JK+(JK)=2JK=JL\)
Substitute JK for its equation:
\(2(8x+11)=JL\)
Since we know that x = 2:
\(2(8(2)+11)=2(16+11)=2(27)=54=JL\)
Thus:
\(JL=54\)
Natalie has $250 in her savings account,into which she deposits $10 of her allowance each week.The balance of her saving account can be modeled by the function f(w)=250t10w where w represents the number of weeks.Which function g(w) represents the balance of Natalie’s saving accounts if she withdraws $40 to purchase a new pair of shoes?describe the translation of f(w) that results in g(w)
If she withdraw $40 to purchase a new pair of shoes, then the function that represent her balance is g(x) = 210 + 10x
The amount that she has in saving account = $250
The amount she deposits in each week = $10
Consider the number of weeks as w
Then the function will be
f(x) = 250 + 10x
Then she withdraw $40 to purchase a new pair of shoes
Then the new function g(x) will be
g(x) = 250 + 10x - 40
Subtract the like terms in the function
g(x) = 250 - 40 + 10x
g(x) = 210 + 10x
Hence, if she withdraw $40 to purchase a new pair of shoes, then the function that represent her balance is g(x) = 210 + 10x
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7,600 dollars is placed in a savings account with an annual interest rate of 6%. If no money is added or removed from the account, which equation represents how much will be in the account after 7 years?
Answers:
M=7,600(1+0.06)(1+0.06)
M=7,600(1-0.06)^7
M=7,600(1+0.06)^7
M=7,600(0.06)^7
Step-by-step explanation:
The equation that represents how much will be in the account after 7 years is:
M = 7,600(1+0.06)^7
Here's the explanation:
The formula for calculating the future value (M) of a present value (P) invested at an annual interest rate (r) for a certain number of years (t) is M = P(1+r)^t.
In this case, the present value (P) is 7,600 dollars, the annual interest rate (r) is 6% or 0.06, and the number of years (t) is 7.
Substituting these values into the formula, we get M = 7,600(1+0.06)^7. This represents how much will be in the account after 7 years if no money is added or removed from the account.
In a small library , there are 5 nonfiction books for every 9 fiction books There are 130 a . How many fiction books are there ?
Answer: 234
Step-by-step explanation:
If there are 130 nonfiction books, then there are 234 fiction books
3. The expression 2x+6 is equal to 9 for some value of x. Without finding the value of x, determine the
values for each of the following expressions. Show how you arrived at each answer.
(b) 2x+9
(a) 4x+12
2 (2x+6)
2(a)
18
(d) -6x-18
-3(2x+6)
-3(a)
-27
(e) 2x+1
22460
(c) x+3
26200
(f) 10x+32
in of
Answer:
E, B, 2 = (2x + 6)
Step-by-step explanation:
I think those are correct.