The distance y (in centimeters) a spring is compressed by a force x (in kilograms) is given by
y = 0.065x.
Complete a table of values for
x = 20, 40, 60, 80, and 100
to determine the distance the spring is compressed for each of the specified forces.
Answer:
(x, y) = {(20, 1.3), (40, 2.6), (60, 3.9), (80, 5.2), (100, 6.5)}
Graph C represents the table of values
Step-by-step explanation:
To complete the table, substitute each value of x into the equation, [tex] y = 0.065x [/tex], to find each corresponding y-value.
Thus:
✔️When x = 20:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(20) [/tex]
[tex] y = 1.3 [/tex]
✔️When x = 40:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(40) [/tex]
[tex] y = 2.6 [/tex]
✔️When x = 60:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(60) [/tex]
[tex] y = 3.9 [/tex]
✔️When x = 80:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(80) [/tex]
[tex] y = 5.2 [/tex]
✔️When x = 100:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(100) [/tex]
[tex] y = 6.5 [/tex]
✔️The graph of that represents this table of values is graph C. See attachment.
Find the GCF (30,45)
Hey there! I'm happy to help!
The Greatest Common Factor is self-explanatory: it is the largest factor that both numbers have in common. Let's look at the factors of each of these numbers:
30: 1, 30, 2, 15, 3, 10, 5, 6
45: 1, 45, 3, 15, 5, 9
We see that the largest number they both have in common is 15, so the GCF is 15.
Have a wonderful day! :D
I will give you 5 stars and a brainlist.
Answer:
D.
Step-by-step explanation:
Answer: D.
this is the correct answer! pls give the other person who answered before me brainiest! (trying to help em out lol)
A random sample of 100 felony trials showed a sample mean waiting time between arrest and trial = 173 days with a population standard deviation of waiting times = 28 days. Find a 99% confidence interval for the population mean waiting time. Stats question, I'm really struggling here. Please help me!
Answer: 165.78 < μ < 180.22
Step-by-step explanation: Confidence Interval of a mean is a method to estimate the true population mean, i.e., we can get an interval where the true mean exists.
A confidence interval is calculated as
x ± [tex]z\frac{\sigma}{\sqrt{n} }[/tex]
z is z-score for 99% confidence, which is: z = 2.58
Then, the estimate is
173 ± [tex]2.58\frac{28}{\sqrt{100} }[/tex]
173 ± 2.58*2.8
173 ± 7.224
lower limit: 173 - 7.224 = 165.78
upper limit: 173 + 7.224 = 180.22
The 99% confidence interval of the mean is between 165.78 and 180.22 and it means that the true mean of this population is between those numbers with 99% of confidence.
y equals the quotient of the quantity x squared plus 4 times x and the quantity x cubed minus 5.
Given:
Consider the completer question is "Find the derivative [tex]\dfrac{dy}{dx}[/tex] for [tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]."
To find:
The derivative [tex]\dfrac{dy}{dx}[/tex].
Solution:
Chain rule: [tex]\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)[/tex]
Quotient rule: [tex]\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]
We have,
[tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]
Differentiate with respect to x.
[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)[/tex]
Using chain rule and quotient rule, we get
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex]
Therefore, the required answer is [tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex].
the price of a calculator is decreased by 21% and now is £207.77. Find the original price
Answer:
£251.40 (rounded to 1 decimal place)Step-by-step explanation:
20% of 207.77 = 41.554
1% of 207.77 = 2.0777
21% of 207.77 = 41.554+2.007=43.6317
207.77+43.6317 = 251.4017
Round to 2 decimal places because its money = 251.40
FINAL ANSWER / ORIGINAL PRICE : £251.40what is the answer to 36 divided by 48
Answer:
0.75
Step-by-step explanation:
Answer: 36 = dividend
48 = divisor or if ur doing other way 0.75
Step-by-step explanation:
Can someone help me please? I will give brainly
Answer:106 I think
Step-by-step explanation: If its 2z+7w and z and w means 8 it makes 2z 28 and makes 7w 78 and then u add 28+78= 106
i need halp on this because i didnt listen in class
Listen in class next time please.
help me due tomorrow at 4
Which statement best represents the distance on a number line between -14 and -5?
Answer:
C my dude. have a merry christmassss
Answer:
A
Step-by-step explanation:
Both are negative, and largest is always first.
16. What is the sum of 8x2 +12 - y2
and x2 - 13+8xy?
Answer:
9x2-y2 + 8xy -1
Step-by-step explanation:
9x2 -1 - y2 +8xy
9x2-y2 + 8xy -1
The sum of these two given quadratic function is (9x² - y² + 8xy - 1).
What is a quadratic function?A quadratic function is a function that has a variable with the highest power of the variable is 2.
A quadratic function may contain more than one variable. However, the highest degree of any variable must be 2.
Given, two function are 8x² + 12 - y² and x² - 13 + 8xy.
Therefore, the sum of these two given function are:
(8x² + 12 - y²) + (x² - 13 + 8xy)
= 8x² + x² - y² + 8xy +12 - 13
= 9x² - y² + 8xy - 1
Learn more about quadratic function here: https://brainly.com/question/5975436
#SPJ2
4
Mathematical
9. PRACTICE Model Math The
table shows the lengths of four
trails at a horseback riding camp.
Estimate the total length of all the
trails.
Answer:
11
need more characters
I need help with number 8
Answer:
I believe the answer is B I had a question like this as well i'm pretty sure its B
Step-by-step explanation:
Solve by substitution. 2x+5y = 13
3x = 7 +5y
will give brainliest
Answer:
(4.1) Equation Form: x = 4 , y = 1
Answer: (4,1)
Step-by-step explanation:
6. Tasha walked 6,618 feet. What is the distance she walked in yards?
2,206 yd
O
19,854 yd
O
3 yd
226 yd
The answer is 2206.
Step-by-step explanation:
3 feet = 1 yard
so you divide 6618 by 3 to get 2206
What the expression that equivalent to (72 - 5) - (3.0 — 2)?
Answer:
The type of relationship expressed below is an INEQUALITY
Step-by-step explanation:
To solve it (though it isn't asked for but may help in the future) you would have to combine like terms.
Add 3.0 and 2, you get 5.
5 isn't greater than 10 so this inequality would be incorrect.
Which of the following is NOT a renewable resource?
Animals
Plants
Oil
Clothing
Answer:
Oil is not renewable because it uses fossil fuels from dinos, which do not exist anymore, so they are limited
Step-by-step explanation:
Which situation can the integer -4 represent?
Choose the correct answer below.
(A.) walking up 4 stairs
(B.) earning 4 dollars
(C.) gaining 4 yards
(D.) Walking down 4 stairs
Answer:
D
Step-by-step explanation:
because it's going down by 4 not going up so it would represent -4
(02.01)
Solve for x
2/3(x - 2) = 4x (1 point)
Select one
2.
a
5
5
2
с
2.
5
d. 5
Answer:
x=-2/5
Step-by-step explanation:
Sara Wants to Triple A recipe For Brownies. The recipe Calls For 1 1/3 cups of Flour. There are exactly 4 cups of flour left in the Canister. Will It be enough?? like this is like a Yes or No question.. I got my answer But I want to make sure I Got It Correct. Please Help!!
Зx +1 <10
What is the answer for this
Answer:
x < 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Inequality
3x + 1 < 10
Step 2: Solve for x
Subtract 1 on both sides: 3x < 9Divide 3 on both sides: x < 3Here we see that any value x smaller than 3 would work as a solution to the inequality.
How many 1/6 cups servings are in 3/4 cups of popcorn? ( In simplest fraction form)
A) 3/2
B) 5/2
C) 7/2
D) 9/2
Answer:
D) 9/2
Step-by-step explanation:
what is a 888888890000+123321= _______???
Answer:
The answer is 888889013321Step-by-step explanation:
I hope l helped you.❤❤❤Stay safe ❤❤❤Answer:
The answer is 888,889,013,321
Step-by-step explanation:
Hope it's answer you plz mark as Brainlist
Which of the following statements about rational numbers is false?
A. Every natural is a whole number, integer, and a rational number.
B. Every integer is a rational number.
C. A natural number is also a whole number.
D. Every rational number is also an integer
Answer:
D. Every rational number is also an integer
Step-by-step explanation:
Some rational numbers are integers, but not all of them
x2 - 2xy + y2 when x = 3 and y = 2
Answer:
1
Step-by-step explanation:
Substitute 3 for x and 2 for y:
3^2 - 2(3)(2) + 2^2
= 9 - 12 + 4
= 1
3^2−(2)(3)(2)+2^2
3^2−(2)(3)(2)+2^2
= 1
Please help I’ll give you brainliest uwu
The ratio of gas cars to
hybrid cars in the
school parking lot is 15:4. There are 12
hybrid cars in the parking lot. How many
gas cars are in the parking lot?
Answer:
I think the answer is 45
5.) On Wednesday, a restaurant serves coffee to 75 of 150 of its customers.
What percent of the customers ordered coffee?
Answer:
50%
Step-by-step explanation:
Long division
Answer:
50%
Step-by-step explanation:
To find the percent, divide 75 by 150 and multiply by 100:
75/150
= 0.5
0.5(100)
= 50
So, 50% of the customers ordered coffee
80 Points someone please help emergency!!
Answer:
it could be (x - 2)^2 + (y - 4) ^2 = 6
Step-by-step explanation:
because the first 2 blanks are the coordinates of the center and the last one should be the radius. as long as u know the radius then u should know the last part
(x - 2)^2 + (y - 4) ^2 = 6
your welcome!
HELP ME PLEASE !!!!!!!
Answer:
93-30=3
Step-by-step explanation: