Step-by-step explanation:
y = kx, where k is a real constant.
When x = 6, y = -12:
(-12) = (6)k
Therefore k = -2.
Hence y = -2x.
The direct variation of Y with X is Y = -2X.
What is an equation?Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations. They are employed to represent a number of physics laws.
As per the given data:
Y varies directly with X.
Y equals -12 when X equal 6.
Let's consider the equation Y = kX:
∴ -12 = k(6)
k = -2
Y = -2X
Hence, the direct variation of Y with X is Y = -2X.
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Question 12
7 pt
Marcus bought school supplies for $42.00, not including tax. If the tax rate was 8.5%,
what was the total cost of the school supplies, including tax?
Answer:
$45.57
Step-by-step explanation:
First, calculate the dollar amount of the tax. This can be done by multiplying the price by the sales tax percentage
$42 × 8.5%= $3.57
Now, add the sales tax amount back to the price.
42 + 3.57 = 45.57
Describe two ways the Earth moves.
Answer:
On it's Axis and it moves around the sun
Step-by-step explanation:
Find a common denominator for the pair of factions.then,write equivalent fractions with the common denominator 8/15 and 1/3
what is a common denominator ?
A.8
B.3
C.15
D.24
Answer:
c. 15
Step-by-step explanation: 15 is divisible by 3
Pls help it’s due today. I’ll give BRAINLIEST
Answer:
You can't get an actual amount unless you know the length of one of the sides. Other than that, AC would be 3 times as much as DE minus 10 units
Step-by-step explanation:
Please help me I need this
Answer:
since it's increasing 15% each year, it'll be linear, having a slope of 15.
Step-by-step explanation:
Because the users are increasing a percentage over time the function would be exponential.
The answer is exponential.
Paula has a large ball of yarn that she is going to use to knit a scarf for the winter. Every square inch on the scarf requires a certain number of yards of yarn from the ball. A linear model of this situation contains the values (11 , 352.99) and (30 , 126.7), where x represents the number of square inches knitted on the scarf, and y represents the number of yards remaining on the ball of yarn. How many yards of yarn did Paula start with?
Answer:
She started with 484 yarns
Step-by-step explanation:
Given
[tex](x_1,y_1) = (11,352.99)[/tex]
[tex](x_2,y_2) = (30,126.7)[/tex]
Required
Number of yarns she started with
The interpretation of this question is to calculate the y intercept.
We strt by calculating the slope (m)
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
[tex]m = \frac{352.99 - 126.7}{11 - 30}[/tex]
[tex]m = \frac{226.29}{-19}[/tex]
[tex]m = -11.91[/tex]
Next, we calculate the linear equation as follows;
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (11,352.99)[/tex]
[tex]m = -11.91[/tex]
[tex]y - 352.99 = -11.91(x - 11)[/tex]
[tex]y - 352.99 = -11.91x + 131.01[/tex]
Make y the subject
[tex]y= -11.91x + 131.01 + 352.99[/tex]
[tex]y= -11.91x +484[/tex]
A linear equation has the form
[tex]y=mx + b[/tex]
Where
[tex]b = y\ intercept[/tex]
By comparison.
[tex]b = 484[/tex]
Hence, she started with 484 yarns
What are the answers here?
Answer:
x
Step-by-step explanation:
y interspect x
Please help,I will give brainliest to correct answer!
Plzzzz help me!!!!!!!!!!
Answer:
The most specific way you can name this shape is parallelogram.
4x-5=x+13 is the equation that can be used to solve for x.
3x = 18
x is equal to 6
AC is equal to 2*(6+13) = 2*19 = 38
Find the slope:
(1,3) (4,9)
Answer:
m =2
Step-by-step explanation:
slope formula is m= y2-y1/x2-x1
m= 9-3/4-1
m= 6/3
m= 2
Answer:
I think its 2,7
Step-by-step explanation:
dilation with a scale factor of 2 centered at (1 2)
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but I would show how to solve.
Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.
Dilation is the enlargement or reduction of the size of an object by a factor.
If a point A(x, y) is dilated by a factor k with a center of dilation at (a, b), then the new point is:
A'(x, y) = [k(x - a) + a, k(y - b) + b]
Let us assume that point A(2, 0) dilation with a scale factor of 2 centered at (1, 2). Hence the new point is:
A'(x, y) = [2(2 - 1) + 1, 2(0 - 2) + 2] = (3, -2)
need some help (Geo)
Answer:
hi
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPP!!!
Answer:
15.13cm
Step-by-step explanation:
From that above question:
We are told that:
Lateral surface area of a right circular cone : πr√r² + h²
We are give the following parameters:
Lateral surface area = 236.64cm²
Radius = 4.75cm
We are to find the height
Making h the subject of the formula
h = √[(A/r)² - πr²]/π
h = √[(236.64/4.75)²- π ×4.75²]/π
h = 15.12975 cm
Approximately to the nearest hundredth = 15.13cm
Katelyn ate ⅓ of an apple pie, and Chad ate ⅜ of the same pie. What fraction of the pie was eaten?
Answer:
17/24
Step-by-step explanation:
1. This is an addition problem. Remember, when adding fractions, you first need to find a common denominator.
What is a number that both 3 and 8 go into? (If you don't know, then you can just multiply the numbers and use that as the denominator)3 x 8 = 24The new denominator is 24.2. To find the numerator, multiply the current numerators by the number of times the original denominators divide into 24.
For example, 3 divides into 24 a total of 8 times. So, multiply 1 by 8 to turn 1/3 into 8/24.Do the same for 3/8, except multiply it by 3 because 8 goes into 24 three times. This makes the fraction equal 9/24.3. Now that the denominators are the same, add the numerators and keep the denominator for now.
8/24 + 9/24 = 17/244. Usually, you would have to reduce the fraction, but since 17/24 is already reduced to its simplest form, 17/24 is your answer.
What fraction of a whole turn is 45°? *
Answer:
the fraction is answer
Step-by-step explanation:
what is the mean absolute deviation of the numbers in the list?
32, 43, 38, 28, 51
A. 34.4
B. 6.88
C. 38.4
D. 7.68
Answer:
The mean for these numbers would have to be 38.4
Forgive me if I'm wrong!
Step-by-step explanation:
Which choice is equivalent to the expression below? (V= square root)
V -125
A. 5iV-5
B. -5i
C. 5i V5
D. 5i
E. V125
Answer:
C
Step-by-step explanation:
i = [tex]\sqrt{-1}[/tex]
[tex]\sqrt{125}[/tex] is equal to 5[tex]\sqrt{5}[/tex]
Since it is [tex]\sqrt{-125}[/tex], then you must have i as well
5i[tex]\sqrt{5}[/tex]
please give a heart to give thanks :)
a crown would be nice too :)
There are 4 birds and 6 snakes. What is the ratio of birds to snakes?
Answer:
4/6
Step-by-step explanation:
it says birds first so the bird number goes first
The ratio of birds to snakes is 2:3 if there are 4 birds and 6 snakes the answer is 2:3.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
There are 4 birds and 6 snakes.
Number of birds = 4
Number of snakes = 6
The ratio = birds: snakes
= 4: 6
On simplifying:
= 2:3
Thus, the ratio of birds to snakes is 2:3 if there are 4 birds and 6 snakes the answer is 2:3.
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How do I find the 5 roots of 1^(1/5) using De Moivre's Theorem?
Do you mean the 5th roots of 1? Or the 5th roots of 1^(1/5), i.e. the 5th roots of the 5th roots of 1?
I assume you mean the former. To begin with,
1 = exp(0°i ) = cos(0°) + i sin(0°)
Take the 5th root, i.e. (1/5)th power of both sides, so that by DeMoivre's theorem,
1^(1/5) = [ cos(0°) + i sin(0°) ]^(1/5)
1^(1/5) = cos((0° + 360°n)/5) + i sin((0° + 360°n)/5)
where n = 0, 1, 2, 3, or 4. Then 1^(1/5) has the 5 possible values,
• cos(0°/5) + i sin(0°/5) = 1
• cos(360°/5) + i sin(360°/5) = cos(72°) + i sin(72°)
• cos(720°/5) + i sin(720°/5) = cos(144°) + i sin(144°)
• cos(1080°/5) + i sin(1080°/5) = cos(216°) + i sin(216°)
• cos(1440°/5) + i sin(1440°/5) = cos(288°) + i sin(288°)
If you wish, or are required to, you can go on to write these in terms of radicals by expanding cos(5x) and sin(5x) (where x = 72° so that 5x = 360°). For example,
cos(5x) = cos⁵(x) - 10 cos³(x) sin²(x) + 5 cos(x) sin⁴(x)
cos(5x) = cos⁵(x) - 10 cos³(x) (1 - cos²(x)) + 5 cos(x) (1 - cos²(x))²
cos(5x) = 16 cos⁵(x) - 20 cos³(x) + 5 cos(x)
which follows from the expansion
(cos(x) + i sin(x))⁵ = cos(5x) + i sin(5x)
due to DeMoivre's theorem and equating the real parts. Then cos(5x) = 1, and you can try to solve for cos(x) :
1 = 16 cos⁵(x) - 20 cos³(x) + 5 cos(x)
Actually, it would be easier to find sin(x) first, since sin(5x) = 0. The expansion in terms of sin(x) will look quite similar to the one shown here.
3x + 5y = 25
x - 2y = -6
______This equation can be solved for _____
easily.
Very Easy Question) Round 571,984 To The Nearest 100 ! )
Answer:
572,000 thats your answer
Answer:
572,000
Step-by-step explanation:
Write the slope-intercept form of the equation of the line through the given point and slope.
through: (-2,-2) slope:
A.y = 3x - 1
B.y = 2x +3
C.y = x + 7
D.y=x
Answer:
hmmmm
Step-by-step explanation:
Someone help me solve this please :(
Answer:
-5
Step-by-step explanation:
multiply both sides of the equation by the denominator(12)
thus giving:
14+10x=-3(12)
14+10x=-36
take 14 to the other side;
10x=-36-14
10x=-50
divide both side by 10
x=-5
Feliks joins a local recreation center to play basketball the reception charges $20 annual fee plus additional $15 per month for the usage of the basketball courts Feliks prepays by writing a check for 3185 for how many months did he prepays for
Answer:
211 months
Step-by-step explanation:
Feliks joins a local recreation center to play basketball the reception charges $20 annual fee plus additional $15 per month for the usage of the basketball courts Feliks prepays by writing a check for 3185 for how many months did he prepays for
Let the number of months that he prepays for be represented by m
Hence, we have the equation
$20 + $15 × m = $3185
Hence:
20 + 15m = 3185
Collect like terms
15m = 3185 - 20
15m = 3165
m = 3165/15
m = 211 months
A pair of jeans is on sale for 20% off. The sale price is $55.00. What is the original amount of the pair of jeans?
Answer: 275$
I'm not entirely sure I did this right! But at least try!!!
Step-by-step explanation:
20/100 = 55/x (cross multiply)
20x = 5,500 (divide)
X = 275
The original price of the pair of jeans is $ 68.75
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
The sale price of the jeans = $ 55.00
The discounted percentage of the pair of jeans = 20 %
Let the original price of the jeans be = A
To calculate the original price of the jeans ,
Original price of the jeans A will be discounted percentage less than and is equal to the sale price of the jeans
So ,
Original price of the jeans A - discounted percentage of the pair of jeans = Sale price of the jeans
And ,
A - ( 20/100 ) A = 55
( ( 100A - 20A ) / 100 )A = 55
(80/100 ) A = 55
( 4/5 ) A = 55
Multiply by 5/4 on both sides , we get
A = ( 55 x 5 ) / 4
A = 275/4
A = $ 68.75
Therefore , Original price of the jeans A = $ 68.75
Hence , the original price of the jeans is $ 68.75
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PLEASE HELP !!!!!!!!!!!!!!! idk if this is correct or not !!!!!!! WILL MARK BRIANLIEST !!!!
Answer: It should have been correct.
Step-by-step explanation:
I picked the blue one, was I correct?
Answer:
yes
Step-by-step explanation:
The given formula
[tex]a_{n}[/tex] = 5n + 3 ← is an explicit formula for an arithmetic sequence
Find the actual sum 1 3/4+ 1 5/8 to determine how much david grew in two years. Use the estimate to explain how you know your answer is reasonable.Show your work.
Answer:
S = 27/8
Step-by-step explanation:
We need to find the actual sum of [tex]1\dfrac{3}{4}+1\dfrac{5}{8}[/tex].
We need to find how much Devid grew in two years.
[tex]1\dfrac{3}{4}=\dfrac{7}{4}[/tex]
and
[tex]1\dfrac{5}{8}=\dfrac{13}{8}[/tex]
Sum means,
[tex]S=\dfrac{7}{4}+\dfrac{13}{8}\\\\=\dfrac{7(2)+13}{8}\\\\=\dfrac{14+13}{8}\\\\=\dfrac{27}{8}[/tex]
Hence, the answer is 27/8.
Convert 7 gallons to cups
Answer:
112 cups
Step-by-step explanation:
multiply the gallons by 16 to get 112 cups
Answer:
112 U.S Cups
Step-by-step explanation:
which calculation and answer show how to convert 9/16 to a decimal
Answer: 0.5625
Step-by-step explanation:
A is ur answer
h ope it helps!
