Which of the following ratios is closest to the golden ratio? a. 5/3
b. 7/5
c. 10/8
d. 14/11
Answer:
A 5/3
Step-by-step explanation:
The fraction closest to the golden ratio is a. 5/3.
What is a golden ratio?The golden ratio is a ratio between two numbers that approximate 1.618.
It is sometimes referred to as the golden number, the golden proportion, or the divine proportion.
It is closely related to the Fibonacci sequence, a set of numbers where each number is added to the previous one and is typically written as the Greek letter Ф.
From the given options,
5/3 = 1.66.
7/5 = 1.4.
10/8 = 1.25.
14/11 = 1.27.
So, the closest ratio is 1.6 which is 5/3.
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y = 7x + 3
Find the x and y intercepts of the line
Answer:
The x-intercept of the line is [tex]-\frac{3}{7}[/tex]
The y-intercept of the line is 3
Step-by-step explanation:
If the equation of a line is y = m x + b, then
The x- intercept is the value x at y = 0, (that means, the line intersect the x-axis at point (x, 0)The y-intercept is the value of y at x = 0, (that means, the line intersect the y-axis at point (0, y)Let us use these facts to solve the question
∵ y = 7x + 3
→ Substitute y by 0 to find the x-intercept
∵ y = 0
∴ 0 = 7x + 3
→ Subtract 3 from both sides
∵ 0 - 3 = 7x + 3 - 3
∴ -3 = 7x
→ Divide both sides by 7 to find x
∵ [tex]-\frac{3}{7}[/tex] = [tex]\frac{7x}{7}[/tex]
∴ [tex]-\frac{3}{7}[/tex] = x
∴ The x-intercept of the line is [tex]-\frac{3}{7}[/tex]
∵ y = 7x + 3
→ Substitute x by 0 to find the y-intercept
∵ x = 0
∴ y = 7(0) + 3
∴ y = 0 + 3
∴ y = 3
∴ The y-intercept of the line is 3
Graph the function. f ( x ) = 1 3 x 2 − 2 x + 8 f(x)= 3 1 x 2 −2x+8
Answer:
Ok ill get back to you when I figure it out so see you in 5 minutes!
Answer:
Step-by-step explanation:
which rule best described the following pattern 5,6,15,16,25,26,35
solve for the value of c.
What percent of 438 is 106? Let p= the percent.
Let's create a simple proportion.
p = Percent
p/100 = 106/438
Now, cross multiply.
438p = 10,600
Divide both sides by 438 to isolate p.
p ≈ 24.200913242
Therefore, 106 is approximately 24.201 percent of 438.
106 is 24% of 438.
What is percentage?A relative value indicating hundredth parts of any quantity.
Given that, a number 438
Let p be the percent,
p% of 438 = 106
p = 106*100/438
p = 24%
Hence, 106 is 24% of 438.
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Natalie borrowed money from her parents to pay for a trip
Answer: wow nice
Step-by-step explanation:
A researcher conducts a hypothesis test using a sample of n = 40 from an unknown population. What is the df value for the t statistic?
a. 38
b. 39
c. 40
d. 41
Answer:
Correct option: b 39.
Step-by-step explanation:
A one-sample (or one mean) t-test is applied to test whether the population-parameter is significantly different from some hypothetical value.
The degrees of freedom of the t-test is:
df = n - 1
It is provided that the sample size is, n = 40.
Compute the degrees of freedom as follows:
df = n - 1
= 40 - 1
= 39
Thus, the correct option is b.
Slope of (3, -9) (3, 18)
Answer:
Undefined.
Step-by-step explanation:
To calculate the slope between two points on a graph, we use [tex]\frac{y2-y1}{x2-x1}[/tex].
Once we substitute in the provided points, this becomes [tex]\frac{18-(-9)}{3-3}[/tex].
Simplify to [tex]\frac{27}{0}[/tex].
This does not give us a number and instead results in an undefined slope, aka a vertical line.
A store buys 17 sweaters for $255 and sells them for $578. How much profit does the store make per sweater?
Answer:
$19 per sweater <3
How do you write three hundred and sixty seven thousand, seven hundred and fifty two?
Answer:
367,752 would be the answer
Answer:
367 750
Step-by-step explanation:
u start and end up with the last number after the another
Evaluate the expression 2(2+2y)
Answer:
Step-by-step explanation:
4 + 4y
Answer:
4 + 4y
Step-by-step explanation:
2 times 2 equals 4
2 times 2y equals 4y
4 plus 4y
which best describes the relationship between the successive terms in the sequence shown?
9, -1, -11, -21, ...
THe common difference is -10
The common difference is 10
The common ratio is -9
The common ratio is 9
Answer:
The answer is -10
Step-by-step explanation:
i got it right on edge
Answer:
A. The common difference is –10.
Step-by-step explanation:
On egd 12/11/2020
A system is described by the equations2x + 3y = 10 4x + By = 20 For what value of B will the system have infinitely many solutions?
State the slope and the y intercept: y = -5/2x
Answer:
slope: −5/2
y-intercept: (0,0)
Step-by-step explanation:
use the slope-intercept form y=mx+b to find the slope and y-intercept
Piper used 1/5 meter of ribbon to create a border around a triangle if each side of the triangle is the same length how much ribbon did Piper use for each side?
Answer:
[tex]\frac{1}{15}[/tex]
Step-by-step explanation:
as said in the question that the triangle has three equal sides. i.e. this is an equilateral triangle. So,
let us consider one side of the triangle to be x . and 3x( x+x+x) should be equal to 1/5
[tex]x+x+x = \frac{1}{5}\\3x=\frac{1}{5}\\x = \frac{1}{5} / 3\\x = \frac{1}{5} * \frac{1}{3}\\x = \frac{1}{15}[/tex]
Sometimes subtraction involves borrowing.
true or false
Answer:
true
Step-by-step explanation:
Answer:
True.
Step-by-step explanation:
You will need borrowing for situations like this; 11 - 09
To subtract 1 by 9, you need to borrow.
In quadrilateral ABCD seeing line A.B. is parallel to line cd which iadditional piece of information is needed to determine the ABDC is a parallelogram
Answer:
A.
Step-by-step explanation:
In a parallelogram, if one pair of opposite sides is both parallel and congruent, then the quadrilateral is a parallelogram.
Here you already know that sides AB and CD are parallel.
If sides AB and CD are also congruent, then quadrilateral ABCD is a parallelogram.
Answer: A.
What are all the digits of pi
1
If a +b = 6 and a= 2, what is b
A(0
B(2
C(4
D(6
Answer:
C(4
Step-by-step explanation:
a + b = 6
2 + b = 6 plug in
-2 -2 Subtract 2 from both sides
b = 4
Stem question, can you plz tell me 3 types of natural water vapor other that steam, fog, and clouds, thanks.
Answer:
Smoke, Condensation, mist
Step-by-step explanation:
<3
12a+c-b; a=1/3,c=5, and b=9
Answer:
Here we go in photo form
Answer: 3,635 Views.
Step-by-step explanation:
b+c=10 becomes b=10-c. c+a=12 becomes c=12-a ... an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. ... What are the values of A, B, C, D, A+B=8, B-D=5, A*C=21, and C*D=9?
. Simplify the following expression by combining like terms:
3a + 6ab + 9ab + 3(a + ab)
Answer:
6a+18ab
I think is correct
Answer:
6a+18ab
Step-by-step explanation:
hope this helps
brainliest will be given if correct
Answer:
10
Step-by-step explanation:
im not sure if its correct but area is the area around the trapezoid and i added them
The graph of the equation representing compound interest is that of:
A. linear function.
B. exponential function.
C. quadratic function.
D. None of the above
Answer:b
Step-by-step explanation:exponential function which means the value is is CONSTANTLY raised to the power
The graph the formula representing the compound interest will be exponential function.
What is graph?
In mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".
Given is the equation representing compound interest.
The equation representing the compound interest is -
C = P( 1 + r/n )ⁿˣ
Where -
[P] is principle amount.
[r] is rate.
[x] is time.
The exponential function is eˣ, where [x] is a variable. Similarly, we can graph the formula representing the compound interest as shown in the figure attached. The graph will be exponential in nature.
Therefore, the graph the formula representing the compound interest will be exponential function.
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Please answer attached have ask for help 3 days no help
Answer:
25 is 6
Step-by-step explanation:
sqrt of 4 is just 2 and then plus 4 gives you 6
Help please!!! I need answers!!!
Answer:
a)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I know for sure.
12+84=96
12*1=12
12*7=84
Which type of line and direction of shading does y > tell you?
9514 1404 393
Answer:
Above the dashed line
Step-by-step explanation:
That y is greater than the values on the line tells you that the shading is above the line.
That the "equal to" case is not included tells you that the line is dashed.
A company orders 25 boxed lunches from a deli for $185. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?
Answer:
7.40
Step-by-step explanation:
Divide 185 by 25 to get unit rate
A car travels 45 miles on one gallon of gas.
A. Write an algebraic expression to find the distance the car can travel using x gallons of gas.
B. The car uses 10 gallons of gas. How many miles does it travel?
Answer:
Your answer:
y=45x
(Y=miles driven)
(x=gas used)
Step-by-step explanation: