On solving the provided question, we can say that - y proportional to as the cube of s, y = ks3, then 8 = k * 23 => k = 1 then y = 1 * 53 = 125
what is directly proportional?If two numbers are directly proportional, then as one quantity grows by a specific percentage, so does the other quantity by the same percentage. As an illustration, as gas costs rise, the price of food may also increase. If the ratio of two values x to y never changes, then x and y are said to be directly proportional to one another. example: Let's say you spend Rs. 50 on two pens. 4 pens cost 100 rupees each. If the ratio of two numbers, x and y, is greater than 1, then the two values The value of y1 is constant.
Since y proportional to as the cube of s, y = ks3.
8 = k * 23 => k = 1
then y = 1 * 53 = 125
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please help it’s due in half an hour
Answer:
(a) They asked for one value of x
but I'll give you both
They're 2 and -2
(b)g(-1) = 4
Step-by-step explanation:
For (a) they're are looking for the value of x that is corresponding to 1 on the y axis
If you observe from your graph only -2 and 2 will have a corresponding value of 1 therefore they're the answers
for (b) Just look for the corresponding value of -1(x -axis) on the y axis which is 4
y-5=-7/3(x-3) in standard form
Answer: The equation Y-5 = -7/3(X-3) in standard form is:
3Y - 15 = -7X + 21
Step-by-step explanation:
54% of 59.7 is what?
Answer:
Step-by-step explanation:
15.9 beacuse yeah thats it
SAVINGS Natalie has $250 in her savings account, into which she deposits $10 of her allowance each week. The balance of her savings account can be modeled by the function f(w)=250+10w, where w represents the number of weeks. Which function g(w) represents the balance of Natalie’s savings account if she withdraws $40 to purchase a new pair of shoes? Describe the translation of f(w) that results in g(w).
Answer:
Answer:Step-by-step explanation:GivenRequiredDetermine g(w)First, we'll write an expression for g(w)From the question, we understand that she withdrew $40 from her account balance in w weeks.This implies that:Where f(w) is the account balance in w weeks and $40 is the withdrawn amountSubstitute 250 + 10w for f(w)Collect Like TermsRecall that:This means that function f(w) when shifter by 40 units downward, gives g(w)
Step-by-step explanation:
What is the major theme and minor theme in “Arachne and the weaving contest”
The central theme of Arachne is human limitation and hubris.The center of the ellipse is located midway between the foci .
What is major axis ?The center of the ellipse is located midway between the foci. The minor axis is the line segment going through the center and perpendicular to the major axis, with both endpoints on the ellipse. The length of the ellipse's major axis is equal to the bigger of 2a or 2b, while the length of its minor axis is equal to the smaller. The major axis, which is the largest distance between any two points on the ellipse, is the line that connects both foci and runs from one end to the other. The minor axis, which is the shortest path between two points on the ellipse, is the line that passes through the center of the major axis in a perpendicular direction.
given
The central theme of Arachne is human limitation and hubris. Arachne, a young girl who is a remarkably gifted weaver, thrives on the adulation of her customers.
As a result of her youth and inexperience as well as her awareness of her exceptional talents, Arachne eventually boasts that her weaving is even greater than Athena's.
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What is the value of the expression below when x=2?
8x^2 +6x-8
8x
2
+6x−8
When we evaluate the expression 8x² + 6x - 8 in x = 2, we will get the value 36.
What is the value of the expression when x = 2?Here we need to evaluate the following expression:
8x² + 6x - 8
in x = 2.
Evaluating means that we need to replace the variable by the given number. Replacing the "x" by 2, we will get:
8*2² + 6*2 - 8
8*4 + 12 - 8
8*3 + 12
24 + 12 = 36
When x = 2, the expression is equal to 36.
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A 3-gallon container of disinfectant costs $36.24. What is the price per quart?
Answer:
10.74666666666667 per quart
Step-by-step explanation3 divided 36.24
Please help will mark Brainly
Answer:
y < 1/2x +6
Step-by-step explanation:
You want the inequality graphed in the given figure.
Line and shadingThe line is dashed, and the shading is below it, so the inequality will have the form ...
y < ...
This is because the boundary line is not included, and the y-values in the solution are less than those on the boundary line.
Boundary lineThe y-intercept is at +6, where the line crosses the y-axis.
The line goes 2 units to the right for each 1 unit up, so its slope is ...
m = rise/run = 1/2
The slope-intercept equation for the boundary line is ...
y = mx +b . . . . . . slope m; y-intercept b
y = 1/2x +6 . . . . . equation of the boundary line in the graph
InequalityPutting the boundary line expression into the inequality form gives the inequality that describes the graph:
y < 1/2x +6
Given it was not a strike, what is the probability it was a knuckle
ball? Enter the answer as a percent (%)to the nearest tenth.
In response to the above problem, we may state that the triangle's - 5/13 measurements correspond to sin and cos.
Trigonometric functions: what are they?The first six essential trigonometric functions are used in trigonometry. These functions are trigonometric ratios. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six basic trigonometric functions. The side ratio of a right-angled triangle is equivalent to the identities and functions of trigonometry. Trigonometric formulas are applied to the perpendicular side, hypotenuse, and base of a right triangle in order to calculate the sine, cosine, tangent, secant, and cotangent values.
as base/hypotenuse = cos x
and sin x = hypotenuse/perpendicular
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Carmen and her dog, Duke, walk 5 blocks in 8 minutes. Terell and his dog, Lady, walk 8 blocks in 12 minutes. Who walks at a slower rate? How long whould it take that person to walk 12 block?
Carmen and her dog, Duke walked at a slower rate at 0.625 blocks/min
Carmen and her dog, Duke would take 19.2 minutes to work 12 blocks.
What is rate?In math, a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate. The word "per" can be further replaced by the symbol "/" in problems.
Carmen/Duke walks 5/8 = 0.625
Terell/Lady walks 8/12 = 0.677
Therefore, from the average time, Carmen and Duke walk slower.
Carmen and Duke will walk 12 blocks in;
= 12/0.625
= 19.2 minutes
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whats 2+2 pls i have a test tomorrow i need to pass it
what is 0.10x10= ?
(i know how to do this but im very stuck on this one)
Answer:
Its 1 because you are moving the digits 1 place to the right
Step-by-step explanation:
7 x (n + 3) = (7 x 2) + (7 x 3)
Answer:
N = 2
Step-by-step explanation:
We must solve for N.
Solve inside the parenthesis if needed, otherwise open them
7n + 21 = (14) + (21)
Now solve, then simplify
7n + 21 = 35
7n = 35 - 21
7n = 14
N = 2
At the end of an interview you are offered a job. You would start at 7.50 an hour and work an average of 45 hours a week. At the end of six months with a positive evaluation, your hourly pay would increase to 8. The job pays overtime at a time and a half rate, based on 37 1/2 hour regular work week. What total earrings could you expect to make by working a full year
By working a full year, you may expect to earn a total of $19,646.25 in earrings.
Explain about the expression?This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
An expression, also known as an algebraic expression, is any mathematical statement that consists of numbers, variables, and an arithmetic operation between them. For example, the mathematical sign + separates the phrases 4m and 5 from the variable m in the phrase 4m + 5.
Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.
= Total overtime pay of $2,193.75 (first 6 months)
Add the regular and overtime pay after that:
= $7,312.50 + $2,193.75
= $9,506,25 in total income (first 6 months)
$7,800.00totalregularpay(last6months)
Overtime pay:(26weeks in a half year) \=$8\times
7.57.5\times1.51.5\times
$ 26
= Total overtime pay of $2,340.00 (last 6 months)
Add the regular and overtime pay after that:
= $7,800.00 + $2,340.00
= $10,140.00 in total income (last 6 months)
In the end, add the combined earnings from the two half years:
= $9,506.25 + $10,140.00
= Total annual profits of $19,646.25 (expected)
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what is the correct factorization of 100^12
Answer:
GCF of 12 and 100 by Prime Factorization
Prime factorization of 12 and 100 is (2 × 2 × 3) and (2 × 2 × 5 × 5) respectively. As visible, 12 and 100 have common prime factors. Hence, the GCF of 12 and 100 is 2 × 2 = 4.
GCF of 12 and 100 by Listing Common FactorsFactors of 12: 1, 2, 3, 4, 6, 12Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
There are 3 common factors of 12 and 100, that are 1, 2, and 4. Therefore, the greatest common factor of 12 and 100 is 4.
To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
What is the maximum time (in seconds) that she can take on her last lap and still make the team?
52s is the maximum time that she can take on her last lap and still make the team.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).
The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
We need to find the maximum time (in seconds) that she can take on her last lap and still make the team
Let x be the maximum time (in seconds) that she can take on her last lap
60=(63+62+65+58+x)/5
300=63+62+65+58+x
300=248+x
Subtract 248 on both sides
300-248=x
x=52s
Hence, 52s is the maximum time that she can take on her last lap and still make the team.
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correct 0.00798516 to three significant figures
Explanation:
The zeros in 0.00798516 are not considered significant because they are not between nonzero values.
If we had something like 1.207, then that zero would be considered significant.
The first three significant values we come across in 0.00798516 are 7, 9 and 8 in that order. The next digit 5 meets the criteria of "5 or larger", which means the 798 bumps up to 799. Erase everything to the right of that.
Therefore, 0.00798516 rounds to 0.00799 when rounding to 3 significant figures.
Answer: 0.00799
0.00798516 rounded off to three significant figures is 0.00799
hope that helps...
Hello, I am stuck on this question which is a exchange rate question
if 1 sar is worth 0.05 US dollars, how many south african rand is 1 US dollar worth?
Answer:
0.05 US$=1 sar
then,1 US$=1/0.05 sar.
which fractions, when converted, result in a repeating decimal? select all that apply 1/8 1/6 3/12 8/9 2 and 4/5 4 and 3/11
Answer:
B. 1/6
D. 3/12
F. 4 3/11
PLEASE MARK BRAINLIEST
leila says that 75% of a number will always be greater than 50% of any other number
support
75% of ____>50% of _____
refute
75%of ____ < 50% of_____
Answer:
it is not always true that 75% of a number will be greater than 50% of any other number
Step-by-step explanation:
Leila's statement is not true. It is possible for 50% of a number to be greater than 75% of another number.
For example, consider the numbers 10 and 100. 50% of 10 is 5, and 75% of 100 is 75. In this case, 50% of 10 (5) is greater than 75% of 100 (75).
Here's another example: 50% of 20 is 10, and 75% of 30 is 22.5. In this case, 50% of 20 (10) is again greater than 75% of 30 (22.5).
Therefore, it is not always true that 75% of a number will be greater than 50% of any other number.
Rewrite 12x4y3 − 48x3y4 using a common factor.
Answer: 12x^3 y^3 (x − 4y)
(GCF is: 12x^3 y^3)
Step-by-step explanation:
This is the best I can do, sorry that I don't have an explanation.
Simplify. 3(x+2y)+5x−y+1
A 8x+y+1
B 8x+5y+1
C 8x+7y+1
D 6xy+5x−y+1
Answer: 8 x + 5 y + 1
8x+5y+1
so that would be B)
Shana wants to buy a music player. She has $100 cash.
Can Shana afford an $89 unit plus HST? Yes or No?
Provide an estimate or a calculation to support your answer=
What is the original price of the most expensive item
Shana can buy for $100?
Photo attached someone please help
thanks
By drawing the line x + y = 2, one of the solution to the given system of equations is (0, 2).
What is the equation of a circle?Mathematically, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.From the information provided, we have the following system of equations:
x² + y² = 9 ......equation 1.
x + y = 2 .............equation 2.
Next, we would use an online graphing calculator to plot the given system of equations and then highlight (read) the point of intersection, which is the ordered pair (0, 2).
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What is the equation of the least squares regression line for the data set?
The equation of the least squares regression line for the data set is (b) ŷ = -2.984x + 112.38
How to determine the equation of the least squares regression line for the data setFrom the question, we have the following parameters that can be used in our computation:
Volunteer 15 11 22 35 18 41 27 18
Trees 77 99 4 11 44 14 2 90
Using a graphing calculator, we have the following calculation summary
Sum of X = 187Sum of Y = 341Mean X = 23.375Mean Y = 42.625Sum of squares (SSX) = 741.875Sum of products (SP) = -2213.875The regression equation is represented as
ŷ = bX + a
Where
b = SP/SSX = -2213.88/741.88 = -2.98416
a = MY - bMX = 42.63 - (-2.98*23.38) = 112.37978
So, we have
ŷ = -2.98416X + 112.37978
Approximate
ŷ = -2.984x + 112.38
Hence, the equation is ŷ = -2.984x + 112.38
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Find all the zeroes of the equation.
x4-6x2-7x-6 = 0
Zeros of the given equation are {-2, 3, (-1±i√3)/2}
Solution:-As the last term is -6 then, ± 2 , ±3 are possible zeroes.
Try 2:-
[tex]2^4-6*(2)^2-7*2-6=-28[/tex] so 2 is not a zero.
Try 3:-
[tex]3^4-6*(3)^2-7*3-6=0[/tex] so 3 is a zero.
[tex](-2)^4-6*(-2)^2-7*(-2)-6=0[/tex] so -2 is also a zero.
Divide the function by (x +2)(x - 3), that is [tex]x^2 - x - 6[/tex]
gives [tex]x^2 + x + 1[/tex]
[tex]x^2 + x + 1[/tex]
So we have [tex]x^2 + x + 1 = 0[/tex]
[tex]x = [-1 +\sqrt{1^1 - 4*1*1}] / 2[/tex]
= -1 + √(-3) / 2 , - 1 - √(-3) / 2.
= -0.5 + 0.866i, -0.5 - 0.866i
What are math roots?In mathematics, the number that results in the original number when multiplied by itself is called the root.
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Decide whether triangles ABC and DEC are similar. Explain or show your reasoning.
Triangles ABC and DEC are similar.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Here, we have,
Given the triangles ABC and DEC
For the triangle ABC:
m∠A = 36, m∠B = 21
So, the m∠C = 180 - (m∠A + m∠B ) = 180 - (36 + 21) = 123
Similarly, the angles of DEC are,
m∠D=36 , m∠C=123 & we get, m∠E =21
So, comparing the measurements of the angles of both triangles:
m∠A=m∠D.
m∠C=m∠C
m∠B=m∠E
So, the triangles are similar using the AAA postulate.
Hence, triangles ABC and DEC are similar.
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a parallelogram has sides that are in the ratio of 7:5 the premeter of the parallelogram is 48 how long does the longer side
Hello there!
Answer:
14
Step-by-step explanation:
Let the smaller side is x. Then the largest side is x * 7/5.
Perimeter is equal to 2 * (x + 7/5 * x) or 48.
2 * (x + 7/5 * x) = 48
5/5 * x + 7/5 * x = 24
12/5 * x = 24
12/5 * 5/12 * x = 24 * 5/12
x = 10.
Tha larger side is 10 * 7/5 = 14.
Step-by-step explanation:
Given ,
Ratio of the sides of a parallelogram are 7:5Perimeter of a parallelogram is 48To Find : Which side is longer
We know the formula to find the perimeter of a parallelogram is,
[tex]P = 2(a+b)[/tex]
We take 'x' to find out which side is longer
[tex]48 = 2(7x+5x)\\48 = 2(12x)\\48 = 24x\\\frac{48}{24} = x[/tex]
[tex]2 = x[/tex]
Side a = 7x = 7 x 2 = 14
Side b = 5x = 5 x 2 = 10
Side a [tex]\geq[/tex] Side b
Hence, side a is longer
Please solve the ques below:
Answer:
510 miles
Step-by-step explanation:
A B
Rate 80 120
Time x x - 2
Distance
Distance = rate x time
A's distance
d = 80x
B's distance
d = 120(x -2)
The distances equal each other when B catches up to A. Set the equations equal to each other and solve for the time
80x = 120(x -2) Distribute the 120
80x = 120x - 240 Subtract 120x from both sides
-40x = -240 Divide both sides by -40
x = 6
After 6 hours, B caught up with A. Substitute 6 for t and find the distance. You can use A or B.
d= 80x
d = 80(6)
d = 480
We need to add another 30 miles to get to the next town.
480 + 30 = 510
Rami's glass is 1/2 full. Will's glass is 3/8 full. Whose glass is fuller? How much fuller is it?
Rami's glass is fuller than Will's glass by 1/8
How to determine whose glass is fuller?From the question, we have the following parameters that can be used in our computation:
Rami's glass is 1/2 full. Will's glass is 3/8 full.
Convert the fractions to decimal
This gives
Rami's glass is 0.5 full. Will's glass is 0.375 full.
0.5 is greater than 0.375
So, Rami's glass is fuller
How much fuller is it?To do this, we calculate the difference
So, we have
Difference = 0.5 - 0.375
Evaluate
Difference = 0.125
Rewrite as
Difference = 1/8
Hence, it is 1/8 fuller
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