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.
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.
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.
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
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)
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
HELP ME PLEASE !!!!!!!
Answer:
93-30=3
Step-by-step explanation:
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.
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:
i need halp on this because i didnt listen in class
Listen in class next time please.
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:
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
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!
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
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!!
what 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:
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
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
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 : £251.40(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:
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:
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
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].
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:
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
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
help me due tomorrow at 4
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
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.