Minimze the product of a positive rational number and a negative rational number, given that the positive number is exactly 8 greater than the negative number. what is the final product?
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You help build a new play center at a daycare. The play center has a tunnel for the children to climb through. You are painting the outside of the tunnel. Find the approximate surface area of the outside of the tunnel so you know how much area you need to paint. Use 3.14 to approximate pi.
Let f(x) = -6x + 3 and g(x) = 5x + 4. Find f*g and state its domain.
-18x2 - 39x + 20; all real numbers except x = 1
-30x2 - 9x + 12; all real numbers
-18x2 - 39x + 20; all real numbers
-30x2 - 9x + 12; all real numbers except x = 4
Factor x3 + 2x2 + x completely
Answer:
x(x+1)²
Step-by-step explanation:
x is a common factor to all terms so the first step is to factor it out:
... x(x² +2x +1)
The quadratic factor is recognizable as the square (x+1)², so the factoring is ...
... x(x +1)²
Answer:
Step-by-step explanation:x(x+1)2
If 2 fluid ounces equals 60 milliliters , how many milliliters are in 7 ounces of cough syrup
√x<4 A.20 B.12 C.2 D.-1 E.5. F. No solution
Equation 1: m = 6 + n Equation 2: 2m = 8 + 8n Step 1: −2(m) = −2(6 + n) 2m = 8 + 8n Step 2: −2m = −12 − 2n 2m = 8 + 8n Step 3: −12 − 2n = 8 + 8n Step 4: −20 = 10n Step 5: n = −2 In which step did the student first make an error? (4 points) Step 2 Step 3 Step 4 Step 5 4 points Click Save and Submit to save and subm
Answer:
step three is the incorrect one making step three the answer
Step-by-step explanation:
In the following steps student made the error in the third step.
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
The error occurred in Step 3.
Step 3 should be:
-2(m) = -2(6 + n)
-2m = -12 - 2n
The mistake was that the student distributed the negative sign only to the 6 and not to the n.
The correct next step is to simplify equation 2:
2m = 8 + 8n
So the student made an error in Step 3.
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hey can some one help me with this
-1+7n
A. Quadratic monomial
B. Quadratic trinomial
C. Linear binomial
D. fifth degree binomial
E. none
Dave krug finances a new automobile by paying $6,500 cash and agreeing to make 40 monthly payments of $500 each, the first payment to be made one month after the purchase. the loan bears interest at an annual rate of 12%. what is the cost of the automobile?
The cost of the automobile, excluding the impact of the interest, is $26,500.
Explanation:For this question, we need to determine the total cost of the automobile purchased by Dave Krug. We know that Dave made an upfront payment of $6,500, and also agreed to make 40 monthly payments of $500 each. The total amount paid through monthly payments is $500 * 40 = $20,000.
Here, it is also stated that the loan bears an annual interest rate of 12%. However, no additional data are given for us to calculate the impact of the interest on the overall cost of the car. So, we'll proceed without including the interest.
So, to find the total cost of the car, we combine the upfront payment with the total monthly payments. That is, $6,500 (upfront payment) + $20,000 (total monthly payments) = $26,500. Therefore, the cost of the automobile without taking into account the interest is $26,500.
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Final answer:For every mole of carbon dioxide used, one mole of methane is produced. Therefore, 71.1 moles of carbon dioxide would produce 71.1 moles of methane, assuming hydrogen is in excess.
Explanation:According to the given reaction, we can infer that the stoichiometric ratio between methane (CH4) and carbon dioxide (CO2) is 1:1. This means for each mole of methane produced, one mole of carbon dioxide is consumed. Therefore, if you are starting with 71.1 moles of carbon dioxide and assuming there is excess hydrogen, you would produce 71.1 moles of methane because of this 1:1 mole ratio.
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what is the median number for the numbers 4,8,10,5,9?
Hello There!
Median: The middle number when all the numbers are listed in oder from least to greatest.
To find the median, place the numbers in order from least to greatest.
In this case, the numbers would be 4, 5, 8, 9, 10
The middle number would be 8 so the median for this set of numbers is 8.
2 + 3 × 16 − 2 × 21 − 3
Final answer:
To solve the expression 2 + 3 × 16 − 2 × 21 − 3, we use the order of operations rule, starting with multiplication to get 48 and 42, followed by addition and subtraction to arrive at the final answer of 5.
Explanation:
The student's question requires us to solve a mathematical expression using the correct order of operations. In the expression 2 + 3 × 16 − 2 × 21 − 3, we need to follow the BIDMAS/BODMAS/PEMDAS rule (Brackets, Indices/Orders, Division and Multiplication, Addition and Subtraction). This rule ensures that we perform multiplication and division before addition and subtraction.
First, we calculate the multiplication parts: 3 × 16 and 2 × 21.
3 × 16 = 48
2 × 21 = 42
Substituting these into the original expression gives us:
2 + 48 − 42 − 3
Next, we perform the addition and subtraction in order from left to right:
2 + 48 = 50
50 − 42 = 8
8 − 3 = 5
So, the expression simplifies to the number 5.
Simplify
cosx ( tanx+cotx)
Final answer:
The expression cosx (tanx+cotx) simplifies to sinx+cosx by using trigonometric identities and recognizing that tanx and cotx can be expressed in terms of sinx and cosx, allowing terms to cancel out.
Explanation:
To simplify the expression cosx (tanx+cotx), we need to use trigonometric identities. Recall that tanx = sinx/cosx, and cotx = cosx/sinx. Therefore, when we multiply cosx by tanx, the cosx in the numerator and denominator will cancel out, leaving us with sinx. Similarly, when we multiply cosx by cotx, sinx in the numerator and denominator will cancel out, leaving us with cosx.
So the simplification process will look like this:
cosx * tanx = sinx
cosx * cotx = cosx
Thus, cosx (tanx+cotx) = sinx+cosx.
This is the simplified form of the expression given. It's important to remember that trigonometric identities are a powerful tool in simplifying expressions involving trigonometric functions.
Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all of the headphones and music players in identical packages.
What is the greatest number of packages Tim can make?
find (f o g)(2) and (f+g)(2) when f(x)=1/x and g(x)=4x+9
To find (f o g)(2), substitute the value of g(2) into f. To find (f+g)(2), find f(2) and g(2) separately, then add them together.
Explanation:To find (f o g)(2), we need to first find g(2), and then substitute that value into f. To find g(2), we substitute 2 into the expression for g(x). g(2) = 4(2) + 9 = 8 + 9 = 17. Now, we substitute 17 into the expression for f(x), which is 1/x. (f o g)(2) = f(g(2)) = f(17) = 1/17.
To find (f+g)(2), we first need to find f(2) and g(2) separately. f(2) = 1/2, and g(2) = 17. Now, we add them together. (f+g)(2) = f(2) + g(2) = 1/2 + 17 = 1/2 + 34/2 = 35/2 = 17.5.
45 points!!!❤
Northwoods Middle School chorus 3/8 of the members are 11 year olds of the 11 year old chorus members 2/5 are boys what fraction of all the chorus members are 11 year old boys
(n+8)+(n−12) =
what is the answer
The simplification of ( n + 8) + ( n -12 ) is 2(n -2)
algebraic expression are expression with unknown.
This unknown is represented by letters and in linear algebraic equations , the highest power of the unknown is 1.
Simplifying (n + 8) + (n-12)
n + 8 + n -12
collecting like terms
n + n + 8 -12
2n -4
we can further Factorize
2( n -2)
Therefore, the simplification of ( n + 8) + ( n -12 ) is 2(n -2)
If you roll a fair six-sided die and a fair four-sided die, what is the probability that neither die shows a 1?
Jordan worked out at a gym for 2 hours. His workout consisted of stretching for 21 minutes, jogging for 45 minutes, and lifting weights for the remaining amount of time. What percentage of Jordan’s workout was spent lifting weights?
Your salary is $25,000 you just received a 2.5% pay increase for the year. What is your new salary?
What is the measure of ∠N?
Simplify.
600(1+0.03)^12
The above answer will be calculated as -
We are given -
600 ( 1 + 0.03)^12
We will first add - 1 + 0.03 = 1.03
Now, we will multiply 1.03 into 12 times, in order to find the value of ( 1.03)^12
The answer for ( 1.03)^12 = 1.4268
Now, we will multiply 1.4268 with 600
600 × 1.4268 = 856.08 approximately.
Thus, the value of 600*(1.03)^12 has been calculated.
A rectangular prism has a volume of 96ft3. The area of the base is 24ft2. What is thw height of the prism? answer soon please
at the market,8 apples cost $4.How much do 9 apples cost?
A bookstore costs $75 a day to keep open, and it spends $11 for each book that it sells. If each book sells for $16, what is the break-even point for this bookstore?
Answer:c=11n+75
Step-by-step explanation:
To win at lotto in one state, one must correctly select 5 numbers from a collection of 58 numbers (1 through 58). the order in which the selection is made does not matter. how many different selections are possible?
The sum of two numbers is 43 . The larger number is 11 more than the smaller number. What are the numbers
a + b = 43 (the sum of two numbers is 43)
(a +11) = b (he larger number is 11 more than the smaller number)
so:
a + b = 43
a + (a + 11) = 43
a + a + 11 = 43
2a = 43 - 11
2a = 32
a = 16
now:
a + b = 43
16 + b = 43
b = 43 - 16
b = 27
that is:
a = 16
b = 27
--------------------------
checking:
b - a = 11
27 - 16 = 11 (TRUE)
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identify the two rational numbers. A) √2 B) 1.01 C) 1.010010001... C) -2/5
We have that for the Question "identify the two rational numbers. " it can be said that
Option B,C,D is rational
From the question we are told
identify the two rational numbers.
A)√2
B) 1.01
C) 1.010010001...
D) -2/5
Generally
Rational number are real number that exist is a form where the denominators are not zero
Therefore
A)√2 this is an irratioanl number as its \pm 1
B) 1.01 Rational
C) 1.010010001... rational
D) -2/5 rational
Hence
Option B,C,D is rational
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