Answer:
Equation: y = 0.4x
y = 2.4
Step-by-step explanation:
Use the direct variation equation, y = kx, where k is a constant
Plug in x and y:
y = kx
10 = k(25)
Solve for k:
0.4 = k
So, the equation is y = 0.4x
Then, use this equation to find y when x = 6:
y = 0.4x
y = 0.4(6)
y = 2.4
A direct proportion is a proportion such that the ratio between both variables remains constant thus the given proportion will be y = 04x and the value of y at x = 6 will be 2.4.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
a)
Let's say the direct proportion as,
y = kx
Given that y = 10 when x = 25.
10 = k(25)
Solve for k,
0.4 = k
Therefore, the equation will be y = 0.4x
y = 0.4x
b)
The value of y when x = 6
y = 0.4(6)
y = 2.4
For more information about ratios and proportions,
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HELP QUICK!! what is the effect on the graph of the function y=x^2 when it is changed to y=1/2x^2?
a) the graph moves up the y axis b) the graph moves down the y axis c) the graph narrows d) the graph widens
Answer:
D is your answer
hopefully this helps
Carol bought 24 stamps for $6, and Charles paid $13 for 52 stamps. If the amount paid for the stamps is proportional to the number of stamps bought, then what is the constant of proportionality?
HELP !!
Answer:
Yes
Step-by-step explanation:
$24 divided by 6 equals 4
$52 divided by 13 equals 4
HURRY ANSWER THIS IM BEING TIMED
Answer:
D
Step-by-step explanation:
10(4 - 7)/-(4 - 1)
40-70/-4+1
-30/-3
=10
nature of roots of 4x²-4x-19=0
Answer:
The roots are real.
Step-by-step explanation:
Given quadratic equation to us is 4x² -4x -19 = 0.
With respect to Standard form ax² +bx +c = 0 , Discriminant of the quadratic equation is given by b² - 4ac . Here's a table for Nature of Roots .
[tex]\boxed{\begin{array}{|r|r|r|} \underline{\red{\bf S.no.}} & \underline{\red{\bf Condition }} & \underline{\red{\bf Nature \ of \ Roots }} \\\\ \sf 1 & \sf Discriminant > 0 & \sf Real \:Roots \\\\ \sf 2 &\sf Discriminant = 0 &\sf Equal \:Roots \\\\ \sf 3 & \sf Discriminant < 0 &\sf Complex \: Roots \end{array} }[/tex]
Hence here , wrt Standard form ,
• a = 4 , • b = -4 & •c = -19 .
[tex]\implies Discriminant = b^2-4ac \\\\\implies Discriminant = (-4)^2-4(4)(-19) \\\\\implies Discriminant = 16+304 \\\\\boxed{\red{\bf \implies Discriminant = 320 }}[/tex]
Hence since Discriminant is Greater than 0 , hence the nature of roots of the quadratic equation is real.
quiz 4-1 : classifying and solving for sides/angles in triangles gina wilson (all things algebra) URGENT
Answer:
14.
[tex]x = 11[/tex] [tex]m<B = 108[/tex] [tex]m<C= 36[/tex] [tex]m<D = 36[/tex]
15.
[tex]x = 4[/tex] [tex]WX = 25[/tex] [tex]XY = 17[/tex] [tex]WY = 25[/tex]
Step-by-step explanation:
Solving (14):
[tex]BC = BD[/tex]
[tex]m<B = 13x - 35[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<D = 2x + 14[/tex]
First, we solve for x.
Since sides [tex]BC = BD[/tex], then
[tex]m<C = m<D[/tex]
This is so because the theorem of ASA (Angle-Side-Angle)
So, we have:
[tex]5x - 19 = 2x + 14[/tex]
Collect Like Terms
[tex]5x - 2x = 19 + 14[/tex]
[tex]3x = 33[/tex]
Divide both sides by 3
[tex]x = 11[/tex]
Solving for m<B, m<C and m<D.
We simply substitute 11 for x in their respective expressions.
[tex]m<B = 13x - 35[/tex]
[tex]m<B = 13*11 - 35[/tex]
[tex]m<B = 143 - 35[/tex]
[tex]m<B = 108[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<C= 5*11 - 19[/tex]
[tex]m<C= 55 - 19[/tex]
[tex]m<C= 36[/tex]
[tex]m<D = 2x + 14[/tex]
[tex]m<D = 2*11 + 14[/tex]
[tex]m<D = 22 + 14[/tex]
[tex]m<D = 36[/tex]
Solving (15):
[tex]<X = <Y[/tex]
[tex]WX = 9x - 11[/tex]
[tex]XY = 4x + 1[/tex]
[tex]WY = 7x - 3[/tex]
First, we solve for x.
Since [tex]<X = <Y[/tex], then
[tex]WX = WY[/tex]
This is so because the theorem of SAS (Side-Angle-Side)
So, we have:
[tex]9x - 11 = 7x - 3[/tex]
Collect Like Terms
[tex]9x - 7x = 11-3[/tex]
[tex]2x = 8[/tex]
Divide both sides by 2
[tex]x = 4[/tex]
Solving for WX, WY and XY
We simply substitute 4 for x in their respective expressions.
[tex]WX = 9x - 11[/tex]
[tex]WX = 9 * 4 - 11[/tex]
[tex]WX = 36 - 11[/tex]
[tex]WX = 25[/tex]
[tex]XY = 4x + 1[/tex]
[tex]XY = 4 * 4 + 1[/tex]
[tex]XY = 16 + 1[/tex]
[tex]XY = 17[/tex]
[tex]WY = 7x - 3[/tex]
[tex]WY = 7 * 4 - 3[/tex]
[tex]WY = 28 - 3[/tex]
[tex]WY = 25[/tex]
5
2
A line passes through the point (-10, 8) and has a slope of
Answer:
you need more than one point to find the slope of a line?
Step-by-step explanation:
Convert 51.7% to a fraction in simplest form and a decimal.
Every integer is a __________ number.
A. natural
B. rational
C. negative
D. whole
Answer:
B. rational
Explanation:
Every integer is a rational number since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number.
What is
0.74314482
as a fraction?
(I don’t have my TI Calculator with me and that is what I need to figure out this question)
find the distance from point A to the given line
A(2,-1), y=-x+4
Answer:
using distance formula you can solve it
Find the area. Round to the nearest hundredth if necessary
kill meStep-by-step explanation:
Answer:
8,667.14
Step-by-step explanation:
1. Multiply 29.1 by 20.4 = 593.64
2. Multiply 593.64 by 14.6 = 8,667.14
In the figure, BE||CD, B is the midpoint of AC, and E is the midpoint of AD
Answer:
A. 8
Step-by-step explanation:
BE = ½(CD) (midsegment theorem)
BE = 2x - 10
CD = 12
Plug in the values
2x - 10 = ½(12)
2x - 10 = 6
Add 10 to both sides
2x - 10 + 10 = 6 + 10 (addition property of equality)
2x = 16 (addition property of equality)
Divide both sides by 2
2x/2 = 16/2
x = 8 (division property of equality)
Wayne painted 1/8 of the walls in his bedroom on Monday. He painted 1/2 of the walls of his bedroom on Tuesday and 1/4 of the walls on Wednesday. What fraction of the bedroom still remains to be painted?
Answer:
1/8
Step-by-step explanation:
1/8 + 1/2 + 1/4 = 1/8 + 4/8 + 2/8 = 7/8
so 1/8 remains
uses 2 1/2 cups of apple juice and 1 1/2 of carrot juice for a recipe. enter the number of cups of apple juice used for 1 cup of carrot juice
Answer:
1 3/4
Step-by-step explanation:
2. At 2:30 am the temperature in New York is 3F. The temperature drops 3/4 of a degree in 30
minutes.
What is the temperature in New York at 3:00 am?
Answer:
2.25 F
Step-by-step explanation:
I subtracted 3/4 from 3.
Hope this helped.
-Pepsi
$210 watch; 20% discount
Answer:
$168
Step-by-step explanation:
Answer:
20% = 0.20
0.20 x 210 = $42
$42 discount
210 - 42 = 168
Your total amount you would pay would be $168. The discount is $48.
HELP HELP HELP PLEASSSEEEE!!!!!!! THIS IS MAKING MY MIND GO NUTS!
Answer:
2.5 hours
Step-by-step explanation:
They are 22.5 miles apart. Chase is going 6 mph and Jada is going 3 mph.
6 × 2 = 12
6 × 0.5 = 3
12 + 3 = 15 miles
3 × 2 = 6
3 × 0.5 = 1.5
6 + 1.5 = 7.5 miles
15 + 7.5 = 22.5 miles
It would take them 2.5 hours to reach each other.
Hope that helps.
please help with question. The answer choices are:
14
8
5
22
Answer:
14
Step-by-step explanation:
If AC = 24, you just have to subtract AB = 10 from AC to find BC.
24 - 10 = 14
Can you help me with this question please by the way its not 101
Answer:
41
Step-by-step explanation:
101+38=139
180-139 = 41
Solve for x. Enter the solutions from least to greatest.
(x + 7)^2 - 49 = 0
Answer:
x = -14, 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Completing the SquareMultiple Roots/SolutionsStep-by-step explanation:
Step 1: Define
(x + 7)² - 49 = 0
Step 2: Solve for x
Add 49 to both sides: (x + 7)² = 49Square root both sides: x + 7 = ±7Subtract 7 on both sides: x = -7 ± 7Evaluate: x = -14, 0Step 3: Check
Plug in x values into original equation to verify they are a solution.
x = -14
Substitute in x: (-14 + 7)² - 49 = 0Add: (-7)² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = -14 is a solution of the equation
x = 0
Substitute in x: (0 + 7)² - 49 = 0Add: 7² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = 0 is also a solution of the equation.
Answer:
Lesser x=-14 Greater x=0
Step-by-step explanation:
x+7)
2
−49
(x+7)
2
(x+7)
2
=0
=49
=
49
Hint #22 / 3
\begin{aligned} x+7&=\pm7 \\\\ x&=\pm7-7 \\ \phantom{(x + 7)^2 - 49}& \\ x=-14&\text{ or }x=0 \end{aligned}
x+7
x
(x+7)
2
−49
x=−14
=±7
=±7−7
or x=0
b. Determine if x ^ 2 - 9x + 14 is always positive, always negative , or neither for all negative values
the picture is below
Answer:
b, c, e
Step-by-step explanation:
at a pet store at the mall there are 21 dogs, 13 cats, 12 rabbits, 5 hamsters, and 3 ferrets. What percent of the animals mare rabbits
Answer:
28.57%
Step-by-step explanation
I added all the animals together and got the precentage of rabbits
Hopefully its right :)
(7 - 3t) + 3(-2t + 5)
Answer:
22-9t
Step-by-step explanation:
(7 - 3t) + 3(-2t + 5)
=
7+−3t+(3)(−2t)+(3)(5)=
7+−3t+−6t+15
=
Now you need to combine like terms.
7+−3t+−6t+15
=
(−3t+−6t)+(7+15)=
-9t+22=
22-9t
There you go.
Answer:
22 - 9t
Step-by-step explanation:
(7 - 3t) + 3(-2t + 5)
7 - 3t + -6t + 15
7 - 9t + 15
22 - 9t
Acellus help slope intercept
Greetings.
The answer is y = 2x + 7.
Explanation:
If you are an expert in graph then you are able to find the slope without calculating. (Rise over Run by looking at the graph.)
We can also find the slope by calculating m-value.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] ---> Rise Over Run
But how are we gonna calculate if we don't have any two given ordered pairs?
The answer is, we can just pick two ordered pairs that are part of the graph, or rather say that the graph passes through.
The graph passes through (-3,1) and (-2,3).
Then we can calculate the slope by using rise/run.
[tex]m=\frac{3-1}{-2-(-3)}\\m=\frac{2}{-2+3}\\m=\frac{2}{1}\\m=2[/tex]
Thus, the slope is m = 2.
However, we are not done yet. We just only found out the slope. We need to find the y-intercept too.
From Linear Function - [tex]y=mx+b[/tex]
Where m = slope and b = y-intercept.
Since b = y-intercept, we don't need to calculate/substitute x = 0. We simply find which number the graph has y-intercept at.
Which is (0,7), the y-intercept.
Then we substitute b = 7 as y-intercept.
Thus the answer is [tex]y=2x+7[/tex]
6/5 s = −2
solve for (s)
50 points.........
A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?
x(t) = sin(60°)t + 44 and y(t) = –16t2 + cos(60°)t + 44
x(t) = cos(60°)t + 44 and y(t) = –16t2 + sin(60°)t + 44
x(t) = 44sin(60°)t and y(t) = –16t2 + 44cos(60°)t
x(t) = 44cos(60°)t and y(t) = –16t2 + 44sin(60°)t
Answer:
B
Step-by-step explanation:
For your question: A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?
After doing the math in my notebook, I got the answer D.
Please let me know if you have any other questions down below.
Find all solutions in the interval [0, 2π) for 2 sin^2 x = sin x
Option A: x = pi divided by three., two pi divided by three.
Option B: x = pi divided by two, three pi divided by two., pi divided by three., two pi divided by three.
Option C: x = 0, π, pi divided by six, five pi divided by six
Option D: x = pi divided by six, five pi divided by six
(Will mark brainliest)
Answer:
D
Step-by-step explanation:
2 sin²x=sin x
2 sin² x-sin x=0
sin x(2 sin x-1)=0
sin x=0
x=0,π
2 sin x-1=0
2 sin x=1
sin x=1/2= sin π/6,sin (π-π/6)
x=π/6,5π/6
PLEASE HELP FAST Two identical buildings are 38.7 m apart. From her balcony, Kudo notices that the angle of the elevation to the top of the adjacent is 52 The angle of the depression to the base of the building is 21 find the height of the building to the nearest hundredth of a metre check the picture
Answer: 41.3m
Step-by-step explanation: Hope this helps
URGENT DUE AT 1:00 PLZ HELP... MATH123456
Answer:
Step-by-step explanation:
Nose