Answers
Answer:
part a.
2/3 = x/6
3x = 12
x = 4
that is the answer
Related Questions
the ordered pair (0,0)(1,4)(2,16)(3,36)(4,64). write a rule that represents the function.
Answers
Knowing all of that let "n" represent the position of the pair starting from 0!
than we can write that the rule is:
(n,(2n)^2)
The ordered pairs (0,0), (1,4), (2,16), (3,36), and (4,64) can be represented by the function y = x^2.
Explanation:The question involves a list of ordered pairs that represent a mathematical function. Here, the ordered pairs are (0,0), (1,4), (2,16), (3,36), (4,64). Through these pairs, we can see a relationship between the x-values (first number in each ordered pair) and their respective y-values (second number in each pair). Specifically, each y-value appears to be the square of its respective x-value. By noticing this pattern, we can write a rule that represents this function: y = x^2. This means that for any given x-value, you just need to square it to get its corresponding y-value.
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Expand and simplify 4 (2x-1) +3 (2x+5)
Also,
Find the first four terms and the 10th term
5-2n....
_ _ _ _......_
Answers
8x - 4 + 6x + 15
14x + 11 (the answer).
3, 1, -1, -3, -15 (the 10th term)
Let me know if you need working on this part :)
For the second question:
1. 3
2. 1
3. -1
4. -3
The tenth term. -15
Which equation could be used to solve this problem?
Kate weighs 3 times as much as Jen. Their total weight is 140 pounds. How much does each girl weigh?
A) 140 = 3x
B) 3x + x = 140
C) 3x - x = 140
D) x - 140 = 3x
Answers
Kate is 3 times Jen. 3x
Their combined weight totals 140
3x + x = 140
Answer:
B
Step-by-step explanation:
Use the rule 4x to find the missing number on the table.
X Y
0 0
2 8
5 20
7
10 40
Answers
Answer: The missing number would be 28.
Step-by-step explanation:
Use the rule
4
to find the missing number on the table.
x y
0 0
2 8
5 20
7 28
10 40
7*4=28.
4. A video game sells at Arnolds for $14.99. Arnold's marks the game up at 40% of the selling price. What is the cost of the game to Arnold?
A. $6.00 B. $9.10 C. $6.50 D. $8.99
Answers
40% of the selling price is $14.99*40 / 100 = $5,996
so the answer is A. $6.00
Answer:
8.99
Step-by-step explanation:
Abbreviate 375,000 using scientific notation is what eactly?
Answers
A rain gutter is made from sheets of aluminum that are 20 inches wide by turning up the edges to form right angles. Determine the depth of the gutter that will maximize its cross sectional area to allow the greatest amount of water to flow
Answers
To find the depth of the gutter that will maximize its cross sectional area, we can use optimization. We need to set up the area equation, differentiate it, find critical points, and determine the maximum area.
Explanation:To find the depth of the gutter that will maximize its cross sectional area, we need to use the concept of optimization. Let's assume the depth of the gutter is x inches. The width of the gutter would be 20 - 2x inches, as the edges are turned up to form right angles.
The cross-sectional area of the gutter would be x(20 - 2x) = 20x - 2x^2 square inches. To maximize this area, we can find the derivative of the area function with respect to x, set it equal to 0, and solve for x.
After finding the critical points, we can analyze which value of x gives the maximum area. Lastly, we can plug this value back into the area function to find the maximum area.
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Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is -3/4?
Answers
in order for a line to be perpendicular it must have the inverse of the slope which would be 4/3
if it is neither of the cases listed above it is neither parallel nor perpendicular
Consider the basis B of R2 consisting of vectors
5
-6
and
-2
-2
Find x in R2 whose coordinate vector relative to the basis B is
[x]B = [-6]
[ 2 ]
Answers
The idea is to find a linear combination a_1(5, -6) + a_2(-2, -2) = (-6, 2) It boils down to a system of equations: Take the augmented matrix:
[5−6−2−2−62] Reduced form: [1001−8111311] -(8/11)*(5, -6) + (13/11)*(-2, -2) = (-6, 2)Answer: The required vector x is
[tex]x=\begin{bmatrix}-\dfrac{8}{11}\\ \dfrac{13}{11}\end{bmatrix}[/tex].
Step-by-step explanation: Given that a basis B of R² consists of vectors (5, -6) and (-2, -2).
We are to find the vector x in R² whose co-ordinate vector relative to the basis B is [tex]\begin{bmatrix}-6\\ 2\end{bmatrix}[/tex].
Let us consider that a, b are scalars such that
[tex]a(5,-6)+b(-2,-2)=(-6,2)\\\\\Rightarrow (5a-2b,-6a-2b)=(-6,2)\\\\\Rightarrow 5a-2b=-6~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-6a-2b=2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Subtracting equation (ii) from equation (i), we get
[tex](5a-2b)-(-6a-2b)=-6-2\\\\\Rightarrow 11a=-8\\\\\Rightarrow a=-\dfrac{8}{11}[/tex]
and from equation (i), we get
[tex]5\times\left(-\dfrac{8}{11}\right)-2b=-6\\\\\\\Rightarrow 2b=-\dfrac{40}{11}+6\\\\\\\Rightarrow 2b=\dfrac{26}{11}\\\\\\\Rightarrow b=\dfrac{13}{11}.[/tex]
Thus, the required vector x is
[tex]x=\begin{bmatrix}-\dfrac{8}{11}\\ \dfrac{13}{11}\end{bmatrix}[/tex].
If the purchase price for a house is $445,500, what is the monthly payment if you put 5% down for a 30 year loan with a fixed rate of 6.25%?
Answers
Answer:
The monthly payment is $2603.17
Step-by-step explanation:
The purchase price is = $445500
5% is down payment = [tex]0.05\times445500=22275[/tex]
Loan amount is = [tex]445500-22275=423225[/tex]
The EMI formula is = [tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]
p = 423225
r = 6.25/12/100=0.0052
n = 30*12 = 360
Putting the values in the formula we get:
[tex]\frac{423225*0.0052*(1.0052)^{360} }{(1.0052)^{360}-1 }[/tex]
= $2603.17
The monthly payment is $2603.17 approx
What type of number is
- square root 81?
Select all that apply.
Whole number
Integer
Rational
Irrational
Answers
The square root of 81 is 9. Hence, it falls under the categories of Whole number, Integer, and Rational number since it can be a positive whole number without any fractional part and can be written as a ratio.
Explanation:The square root of 81 is 9. Now, considering the types of numbers, 9 is a Whole number, because it is not a fraction, and it does not have a decimal point. It is also an Integer, which are numbers that can be written without a fractional component, including both positive and negative whole numbers plus zero. Lastly, 9 is a Rational number, a number that can be written as a fraction. So, the square root of 81 is all three: Whole number, Integer, and Rational number. It is not an Irrational number, which is a number that cannot be expressed as a ratio of two integers.
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Final answer:
The square root of 81 is 9, which makes it a whole number, an integer, and a rational number. It is not an irrational number.
Explanation:
The type of number the square root of 81 is can be determined simply by calculating the square root. The square root of 81 is 9, since 9 multiplied by 9 equals 81. Now, let's classify this number:
Whole number: Yes, because whole numbers include all the non-negative numbers (0, 1, 2, 3...), and 9 falls into this category.
Integer: Yes, because integers are all whole numbers, both positive and negative, including zero (-3, -2, -1, 0, 1, 2, 3...), so 9 is also an integer.
Rational number: Yes, because rational numbers are ratios of integers (like 2/1 or -3/4), and 9 can be expressed as 9/1.
Irrational number: No, because irrational numbers cannot be expressed as ratios of integers. Examples of irrational numbers include √2 or π.
Therefore, the square root of 81 is a whole number, an integer, and a rational number, but it is not irrational.
Alice had 4 1/4 pounds of walnuts at the beginning of the week. At the end of the week, she had 2 3/4 pounds. How much has she used?
A. 1 3/4
B. 1 1/2
C. 2 1/2
D. 1 1/4
Answers
Step [tex]1[/tex]
Convert mixed numbers to improper fractions
we know that
[tex]4\frac{1}{4}=\frac{4*4+1}{4}=\frac{17}{4}[/tex]
[tex]2\frac{3}{4}=\frac{2*4+3}{4}=\frac{11}{4}[/tex]
Step [tex]2[/tex]
Find the difference of the numbers
[tex]\frac{17}{4}-\frac{11}{4}=\frac{6}{4}=\frac{3}{2}[/tex]
Step [tex]3[/tex]
Convert improper fraction to mixed number
[tex]\frac{3}{2}=1.5=1+0.5=1+\frac{1}{2} =1\frac{1}{2}[/tex]
therefore
the answer is the option B
[tex]1\frac{1}{2}[/tex]
The polynomial given below has _____ root(s).
2x2 + 5x + 2
A. two complex
B. two positive
C. two negative
D. one positive and one negative
...?
Answers
Plotting on a graph determines 2 negatives present
What fraction is greater than 1/2. 4/6 3/8 1/3 2/5?
Answers
4/6 =0.67
3/8=0.375
1/3=0.33
2/5=0.4
There fore 1/2 is bigger :)
Samantha and Luis are attempting to determine how many library books each seventh grade student checks out at the same time. Samantha surveys every other seventh grade student leaving the library. She samples a total of 40 of the 200 seventh graders. Luis samples 30 of the 200 seventh grade students at random in the school cafeteria. Whose sample is the most random? Luis because his sample is taken from the population of all seventh graders Luis because he samples fewer students Samantha because she samples more students Samantha because her sample is taken from the population of students who use the library
Answers
Answer:
Luis, because his sample is taken from the population of all seventh graders. However, Samanthan has the advantage of having a bigger sample, and that makes it more representative.
Step-by-step explanation:
Taking the sample of the library as Samantha did, is biased, because most of the students there is checking a book, and the aim of the study is not only the ones that use the library, but in general the seventh grade students.
Kesara Santiago purchased a riding mower for $2,746.00. She received a $49.95 rebate from the manufacturer and a $38.95 rebate from the store. What is the final price?
Answers
2746-49.95-38.95
Answer: $2657.1
Step-by-step explanation:
Given: The price of a riding mower = $2,746.00
The amount she received by manufacturer as rebate= $49.95
The amount she received by the store as rebate = $38.95
The total amount she received as rebate =[tex]\$49.95+\$38.95=\$88.9[/tex]
Therefore, the final price of the riding mower is given by :-
[tex]\text{Final Price}=\$2746-\$88.95=\$2657.1[/tex]
Question 2:
Calculate the average rate of change for the function f(x) = −x^4 + 4x^3 − 2x^2 + x + 1, from x = 0 to x = 1.
A. 0
B. 1
C. 2
D. 7
Answers
f (1)=-1+4-2+1+1=3
f (0)=1
implies average is 3
wendy is paid $9 per hour and plans to work between 20 and 25 hours per week. indetify the independent and dependent quanity in the situation. find reasonable domain and range values
Answers
- Independent quantity: Number of hours worked per week
- Dependent quantity: Earnings per week
- Domain: 20 ≤ hours ≤ 25
- Range: $180 ≤ earnings ≤ $225
In this situation:
- Independent quantity: The number of hours Wendy plans to work per week
- Dependent quantity: The amount of money she earns per week
Reasonable domain and range values:
- Domain: The reasonable range of values for the number of hours Wendy works per week is between 20 and 25 hours. This is because she plans to work between 20 and 25 hours per week.
- Range: The amount of money Wendy earns per week depends on the number of hours she works. The range of values for her earnings can be calculated by multiplying the number of hours worked by her hourly rate of $9. Therefore, the range of values for her earnings per week will be between $180 (20 hours * $9) and $225 (25 hours * $9).
To summarize:
- Independent quantity: Number of hours worked per week
- Dependent quantity: Earnings per week
- Domain: 20 ≤ hours ≤ 25
- Range: $180 ≤ earnings ≤ $225
there are 1176 students in central high school. there are 50 more girls than boys. how many boys are there.
Answers
Answer:
563
Step-by-step explanation:
Plato
How do you solve
x-3/(x-4) + 4= 3x/3
Answers
x^2−19/x−4=x
Step 1: Multiply both sides by x-4.
x^2−19=x^2−4x
x^2−19−x^2=x^2−4x−x^2(Subtract x^2 from both sides)
−19=−4x
−4x=−19(Flip the equation)
−4x/−4=−19/−4 (Divide both sides by -4)Answer.
x=19/4
Check answers. (Plug them in to make sure they work.)
Greg is in a car at the top of a roller-coaster ride. The distance, d, of the car from the ground as the car descends is determined by the equation d = 144 – 16t2, where t is the number of seconds it takes the car to travel down to each point on the ride. For which interval of time is Greg’s car moving in the air?
Answers
Suppose that the area of a square is eight times its perimeter. find the length of a side of the square.
Answers
Final answer:
To solve the problem, an equation is set where the area of the square (a²) is equal to eight times its perimeter (8(4a)). Solving for a, we find the side length of the square to be 32 inches.
Explanation:
The student is presented with a problem where the area of a square is stated to be eight times its perimeter. Let the side length of the square be a inches. The area of a square is given by a², and the perimeter of a square is given by 4a. According to the problem, we have a² = 8(4a).
Firstly, we set up the equation based on the given information:
a² = 8(4a)
Solving for a:
a² = 32a
a² - 32a = 0
a(a - 32) = 0
Therefore, the side length a can be 0 or 32. Since the side length cannot be 0, the length of a side of the square is 32 inches.
solve logx + log(x-3) = 1
Answers
=x(x-3)=10
=x^2-3x=10
Make this a quadratic equation
x^2-3x-10=0
Factorize
=(x+2)(x-5)=0
x=-2 or x=5
Nadia started at 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initial position. What was Nadia’s altitude at the end of her climb?
A. 3,511.8 feet above sea level
B. 5,245.2 feet above sea level
C. 5,418.54 feet above sea level
D. 5,457.06 feet above sea level
Answers
Answer:
The correct option is:
C. 5,418.54 feet above sea level
Step-by-step explanation:
Nadia started at 19.26 feet below sea level.
She then changed her altitude by climbing a total of 5,437.8 feet up from her initial position.
Her new position would be 5437.8-19.26 feet above the sea level
i.e. 5,418.54 feet above sea level
Hence, the correct option is:
C. 5,418.54 feet above sea level
Answer:
5,418.54
Step-by-step explanation:
Find the smallest positive angle θ in the third quadrant for which tan(θ) = 1.
...?
Answers
The only instance that you can have a tangent theta equal to one, both values of sine and cosine must be the same. This happens at every 45 degree angle in each quadrant. So for the third quadrant, it would be 225. To get the 225, the angle in the first quadrant is 45 degrees. You add 90 degrees every quadrant.
Hope this answer helps.
Which of the following graphs represents the function f(x) = x4 - 2x3 - 3x2 + 4x + 1?
Answers
Answer: Graph D will be correct graph for the given function.
Explanation:
Given function [tex]f(x) = x^4-2x^3-3x^2+4x+1[/tex]
Since it is a bi-quadratic equation thus it must have 4 roots and (0,1) is one of its point.
Moreover, the degree of the function is even thus the end behavior of the function is[tex]f(x)\to+\infty[/tex], as [tex]x\to-\infty[/tex] and [tex]f(x)\to+\infty[/tex] as [tex]x\to+\infty[/tex]
In graph A, function has four root but it does not have the end behavior same as function f(x).( because in this graph [tex]f(x)\to-\infty[/tex], as [tex]x\to-\infty[/tex] and [tex]f(x)\to-\infty[/tex], as [tex]x\to+\infty[/tex].) so, it can not be the graph of given function.
In graph B, neither it has four root nor it has the end behavior same as function f(x).(because in this graph [tex]f(x)\to+\infty[/tex] as [tex]x\to-\infty[/tex] and [tex]f(x)\to-\infty[/tex] as [tex]x\to+\infty[/tex].) so, it can not be the graph of given function.
In graph C, neither it has four root nor it has the same end behavior as function f(x).(because in this graph [tex]f(x)\to-\infty[/tex] as [tex]x\to-\infty[/tex] and [tex]f(x)\to+\infty[/tex] as[tex]x\to\infty[/tex].) so, it also can not be the graph of given function.
In graph D it has four root as well as it has the same end behavior as the given function. Also it passes through the point (0,1).
Thus, graph D is the graph of given function.
To set up long division of polynomials, you should make sure that each polynomial is written in _____ order and has no missing terms. ...?
Answers
I guess there should be an options to choose. But I'm pretty sure that the answer is: To set up long division of polynomials, you should make sure that each polynomial is written in descending order and has no missing terms.
Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below.
The x-intercept is (0, 6); the y-intercept is (–9, 0).
The x-intercept is (6, 0); the y-intercept is (0, –9).
The x-intercept is (3, 0); the y-intercept is (0, –2).
The x-intercept is (0, 3); the y-intercept is (–2, 0).
Answers
Answer:
The x-intercept is (6, 0); the y-intercept is (0, –9).
Step-by-step explanation:
Which transformation is not isometric?
Answers
answer is D
find the values of the variables and the measures of the angles
Answers
To find variable values and angle measures, identify knowns, use appropriate equations for unknowns, calculate vector components, use trigonometric functions and the Pythagorean theorem for the resultant vector, and ensure angles are in radians.
Explanation:To find the values of the variables and the measures of the angles, you need to follow a systematic approach. Start by making a list of known variables and inferences from the problem. Once you've identified what is given, you can solve for the unknowns using the appropriate equations. If the problem involves vectors, you would identify the x- and y-axes before finding the vector components Ax = A cos and Ay = A sin, where A is the magnitude of the vector and cos and sin are the trigonometric functions corresponding to the angles the vectors make with the x-axis. After computing these, you can use the Pythagorean theorem to find the resultant vector length.
To verify your solutions, including the measures of the angles in radians, it's important to assess whether the answers are reasonable. This may involve checking the magnitude and direction of the resultant vector and ensuring that the angles are within the possible range (0 to 2π radians for a full circle).