yis inversely proportional to the square of x.
A table of values for x and y is shown.
a) Express y in terms of x.
b) Work out the positive value of x when y = 25
Answer:
(a) [tex]y = \frac{4}{x^2}[/tex]
(b) [tex]x = \frac{2}{5}[/tex]
Step-by-step explanation:
Given
Variation: Inverse proportional.
This is represented as:
[tex]y\ \alpha\ \frac{1}{x^2}[/tex]
See attachment for table
Solving (a):
First convert variation to equation
[tex]y = k\frac{1}{x^2}[/tex]
From the table:
[tex](x,y) = (1,4)[/tex]
So, we have:
[tex]4 = k * \frac{1}{1^2}[/tex]
[tex]4 = k * \frac{1}{1}[/tex]
[tex]4 = k * 1[/tex]
[tex]4 = k[/tex]
[tex]k = 4[/tex]
Substitute 4 for k in [tex]y = k\frac{1}{x^2}[/tex]
[tex]y = 4 * \frac{1}{x^2}[/tex]
[tex]y = \frac{4}{x^2}[/tex]
Solving (b): x when y = 25.
Substitute 25 for y in [tex]y = \frac{4}{x^2}[/tex]
[tex]25 = \frac{4}{x^2}[/tex]
Cross Multiply
[tex]25 * x^2 = 4[/tex]
Divide through by 25
[tex]x^2 = \frac{4}{25}[/tex]
Take positive square roots of both sides
[tex]x = \sqrt{\frac{4}{25}[/tex]
[tex]x = \frac{2}{5}[/tex]
please help me understand this
Answer:
whats your snap ill help
Step-by-step explanation:
-2(x+1)-x+5 what do you think it is
Answer:
The answer is -3x + 3
Joe is learning to play the trumpet. On monday he practiced from 6:30 until 7:05. On Tuesday he practiced from 3:55 until 4:15. How many minutes did he practice in all over the two days?
Answer:
55 minutes
Step-by-step explanation:
The amount of time that is needed to pass to change 6:30 into 7:05 is 35 minutes. The amount of time that is needed to pass to change 3:55 to 4:15 is 20 minutes. If you add the time Joe practiced on Monday and Tuesday altogether it's 55 minutes.
Hope I could help! :)
Please helppppp you need to rewrite the inequality in the slope intercept form
Answer:
Y>2x-4
B
Have a great day, hope this helps
CEOLATIONS AND INEQUALITIES
Finding angle measures of a triangle given angles with variables
In the triangle below, suppose that m U=(x+9)°, m = (2x+1), and mW=(7x)".
Find the degree measure of each angle in the triangle.
Answer:
∠U = 26°
∠V = 35°
∠W = 119°
Step-by-step explanation:
Given:
∠U = (x+9)°
∠V = (2x+1)°
∠W = (7x)°
Find:
Value of each angle
Computation:
Using angle sum property
∠U + ∠V + ∠W = 180°
(x+9)° + (2x+1)° + (7x)° = 180°
10x + 10 = 180
x = 17
So,
∠U = (x+9)° = 17 + 9 = 26°
∠V = (2x+1)° = 34 + 1 = 35°
∠W = (7x)° = 7 x 17 = 119°
Write an equation in standard form that has a slope of –5/2 and a y-intercept of –2.
Answer:
-5/2+-2
Step-by-step explanation:
A lacrosse coach has $275 to spend on equipment. He buys 3 goals for $75 each. Mouth guards cost $5 each . how many mouth guards can the coach buy?
Answer:
10
Step-by-step explanation:
275 - (75*3). This is the money he has left.
Divide that by 5 to get 10 mouthguards.
Answer:
10
Step-by-step explanation:
3 times 75=225 275-225=50 50/5=10
evaluate the expression 6^2 + x-x^2 for x=3
Answer:
30
Step-by-step explanation:
Given the following mathematical expression;
6² + x - x²
When x = 3
Thus, we would substitute the value of "x" into the expression;
36 + 3 - (3)²
Applying BODMAS (Bracket of Division, Multiplication, Addition and Subtraction).
36 + 3 - 9
39 - 9
30.
please please begging please help me with this i’m giving a lot of poiints just please answer all these!!
Answer:
1) 7 x (6+y)
2)( y x 6) + (y x 7)
3) 6(y+7)
4) (y x 6) + y^2
I hope im right !
Step-by-step explanation:
( 7 * 6 ) + ( 7 * y) ➡ 7 (6 +y)
y(6 + 7) ➡ ( y * 6 ) + ( y * 7)
( 6 * y) + ( 6 * 7) ➡ 6 ( y + 7)
y( 6 + y) ➡ ( y * 6 ) + y²
Hope it will help :)
Hi please help me as soon as possible for a heart, a 5 star rating, comment and maybe brainiest - you only get this after you give the right answer:
Rimo spends £588 on a plane ticket and $130 on airport tax. Using £1 = $1.34, what percentage of the total cost does Rimo spend on airport tax?
Give your answer rounded to 1 dp.
Solve 2x2 + 20x = -8
Answer:x=-5/11
Step-by-step explanation:
2x+2+20x=−8
Step 1: Simplify both sides of the equation.
2x+2+20x=−8
(2x+20x)+(2)=−8(Combine Like Terms)
22x+2=−8
22x+2=−8
Step 2: Subtract 2 from both sides.
22x+2−2=−8−2
22x=−10
Step 3: Divide both sides by 22.
22x/22=-10/22
If the exchange rate of US dollar to Naira is 1:70, what's the value of $1.50 in Naira?
Answer:
$1.50 is 105 Naira
Step-by-step explanation:
If the exchange rate is 1:70, that means that in order to get the amount of Naira equal to some amount of US dollars, you would multiply the number of US dollars by 70. And so we get...
1.5 x 70 = 105 (Naira)
Answer:
105 Naira
Step-by-step explanation:
Please see the attached image.
I hope this helps!
The ordered pair (10, 63) is a solution to the inequality y < -0.2x^2 + 9x - 7. Please select the best answer from the choices provided.
True or false.
Answer: false
Step-by-step explanation:
homework 1 relations domain range and functions 3-8
Answer:
Step-by-step explanation:
Domain - Set of x-values
Range - Set of y-values
3). Since, x values vary from x = -6 to x = 5,
Domain of the graph = [-6, 5]
Since, y-values vary from y = -2 to y = 3
Range of the graph = [-2, 3]
4). Domain of the graph = [-3, 3]
Range of the graph = [-6, 5]
5). Domain of the graph = (-∞, ∞)
Range of the graph = (-∞, ∞)
6). Domain of the graph = (-∞, 4]
Range of the graph = (-∞, ∞)
7). Domain of the graph = (-∞, ∞)
Range of the graph = [-1, 5]
8) Domain of the graph = [-1, 5)
Range of the graph = [-3, 3)
Answer:
Step-by-step explanation:
A teacher tells 6 students the title of the
next school play. Those 6 students each
tell the title to 6 students. Then those
additional students each tell the title to 6
students. How many students have been
told the title of the next play?
Answer:
18 students have been told the title of the next play
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
6 times 6 plus 6
The length of time to find a parking spot on the UW campus is normally distributed with a mean of 4.75 minutes and a standard deviation of 1.35 minutes. Find the probability than a randomly selected driver takes less than 2 minutes to find a parking spot on the UW campus. Round your answer to three decimal places.
Answer: 0.0208
Step-by-step explanation:
Given: The length of time to find a parking spot on the UW campus is normally distributed with a mean of 4.75 minutes and a standard deviation of 1.35 minutes.
Let x = time taken to find parking spot
The probability that a randomly selected driver takes less than 2 minutes to find a parking spot on the UW campus will be :
[tex]P(x<2)=P(\dfrac{x-\mu}{\sigma}<\dfrac{2-4.75}{1.35})\\\\=P(Z<-2.037)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<2.037)\\\\=1- 0.9792=0.0208\ \ \ \text{[By p-value table]}[/tex]
Hence, the probability than a randomly selected driver takes less than 2 minutes to find a parking spot on the UW campus.= 0.0208
Which expression is equivalent to -3m+7.5?
Answer:
-3m+7.5=4.5m
Step-by-step explanation:
Answer for 5 stars answer and a heart with a comment. Please hurry!
Here is a diagram of a person standing next to a lorry.
The diagram shows two centimetre rulers.
The person and the lorry are drawn to the same scale.
The lorry is approximately 9.5 m in length.
Using the scale diagram, estimate the height of the person in metres.
Answer:
Length of the person = 1.9 m
Step-by-step explanation:
Actual length of the lorry = 9.5 m
Length of the lorry as per scale = 10 cm
Scale factor used to get the actual length of the lorry = [tex]\frac{\text{Actual length}}{\text{Length on scale}}[/tex]
= [tex]\frac{9.5}{10}[/tex]
= 0.95 : 1
Let the actual length of the person = x meters
Length of the person as per scale = 2 cm
Scale factor used to get the length of person is same.
Therefore, relation between the actual length of the person and scale length will be,
[tex]\frac{x}{2}= \frac{0.95}{1}[/tex]
x = 2 × 0.95
x = 1.9 meters
Suppose the probability of an IRS audit is 3.8 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more. What are the odds that such a taxpayer will be audited? (Round your answers to the nearest whole number.) What are the odds against such a taxpayer being audited? (Round your answers to the nearest whole number.)
A school has a triangular grass field for the kids to play on.
What was the area of the grass field?
The half-life of helium-5 is 7.6 × 10-22 seconds, and the half-life of helium-9 is 7 × 10-21 seconds. Approximately how many times greater is the half-life of helium-9 than that of helium-5?
Answer:
Step-by-step explanation:
If 10-22 means 10⁻²², you need to use a ^ to indicate the exponent: 10^(-22)
(7×10⁻²¹)/(7.6×10⁻²²) = (7×10⁻²¹)/(0.76×10⁻²¹) = 7/0.76 ≅ 9.2
Where is the blue dot on the number line?
-6.5
-7
Let f(x)=x²+5x and g(x)=4x-3. Perform the composition or operation indicated.
(f/g)(-3)
9514 1404 393
Answer:
2/5
Step-by-step explanation:
Put the numbers in the equations and do the arithmetic.
f(-3) = (-3)² +5(-3) = 9 -15 = -6
g(-3) = 4(-3) -3 = -12 -3 = -15
Then the composition is ...
(f/g)(-3) = f(-3)/g(-3) = -6/-15
(f/g)(-3) = 2/5
At Soap and Suds there are
16 washing machines in a single row
with no space between each one. Each
washing machine is 2 feet 5 inches
across. What is the total length of
the 16 washing machines?
Answer
112
Step-by-step explanation:
On a 75-question multiple choice test, Niran answered 64 questions correctly. What was his percentage score?
Answer:
85%
Step-by-step explanation:
Answer:
85%
Step-by-step explanation:
What I would do is how much she would score if the test was a 25 question test. She would have scored 21.33. Now add this to her current score. 64+21.33 = 85.33. The rounded answer is 85.
How do you find the volume of a shape with 2 different heights and 1 extra block on the width??
PLEASE HELP THIS ASSIGNMENT IS DUE TOMORROW!!
Question unclear
Step-by-step explanation:
If it is a trapezoid, you can simply find the average of the two base lengths, but I can't help much without seeing the shape. Please add a picture of the shape.
Answer:
If it is a trapezoid, you can simply find the average of the two base lengths, but I can't help much without seeing the shape. Please add a picture of the shape.
Step-by-step explanation:
Solve this following system by graphing
X-y=4
X+y=2
Answer:
The answer is x = 3 and y = -1
Step-by-step explanation:
If you were to graph the two lines, their equations would be y = x - 4 and y = -x + 2. The two lines intersect at the point (3, -1), so the solution to the system is x = 3 and y = -1.
When you run your average step length is 42 inches how many steps would you have to take to run 1 mile run to the nearest 10th
Answer:
1508.6 steps
Step-by-step explanation:
one mile = 5280 feet
42 inches = 3.5 feet
5280 / 3.5 = 1508.57
pls help me look at the pic
9514 1404 393
Answer:
(b) 540 boxes
Step-by-step explanation:
The 28 foot depth of the trailer will accommodate 18 boxes (leaving 1 ft unfilled).
The 8 1/2 foot width of the trailer will accommodate 5 boxes (leaving 1 ft unfilled).
The 9 1/6 foot height of the trailer will accommodate 6 boxes (leaving 1/6 ft unfilled).
The collection of boxes filling the trailer is 18 deep, 5 wide, and 6 high, for a total of ...
18 × 5 × 6 = 540 boxes
_____
In each case, the number of boxes that will fit is the dimension divided by the dimension of the box. The result is the integer part of the quotient. For example, ...
(28 ft)/(3/2 ft/box) = 56/3 box = 18 2/3 box . . . 18 boxes will fit