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.
Answers
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.
Related Questions
25 points! pls show work if can!!!!!!!!
Answers
Answer:
A.2.4 pounds
B.7 oranges
Step-by-step explanation:
Pls help me with this! Thank u !!
Answers
Thank You!
Pls mark Brainliest!!!
What is the value of x in the equation 3(x + 10) = 4(x − 2)?
Answers
Answer:
3x+30=4x-8
-x=-38
x=38
Final Answer: [tex]x = 38[/tex]
Steps/Reasons/Explanation:
Question: What is the value of x in the equation [tex]3(x + 10) = 4(x - 2)[/tex]?
Step 1: Expand.
[tex]3x + 30 = 4x - 8[/tex]
Step 2: Subtract [tex]3x[/tex] from both sides.
[tex]30 = 4x - 8 - 3x[/tex]
Step 3: Simplify [tex]4x - 8 - 3x[/tex] to [tex]x - 8[/tex].
[tex]30 = x - 8[/tex]
Step 4: Add [tex]8[/tex] to both sides.
[tex]30 + 8 = x[/tex]
Step 5: Simplify [tex]30 + 8[/tex] to [tex]38[/tex].
[tex]38 = x[/tex]
Step 6: Switch sides.
[tex]x = 38[/tex]
~I hope I helped you :)~
What is 12x³ – 9x² – 4x + 3 in factored form? hurry...
Answers
Answer:
Combine Like Terms:
=1728+−9x^2+−4x+3
=(−9x^2)+(−4x)+(1728+3)
= −9x^2+−4x+1731
Lei’s favorite cereal comes in two box sizes. A 16-ounce box costs $3.20. The 32-ounce box costs $6.24. Which box is better to buy?
Answers
Answer:
The 32-ounce box
Step-by-step explanation:
The 16-ounce box costs $3.20 for every 16 ounces, but the 32-ounce box costs $3.12 for every 16 ounces. That means the 32-ounce box is a better deal by 8 cents.
Answer:
the big box is a better buy
Step-by-step explanation:
we have
$3.20 for 16ounce
and notice 32 is duble of 16 so to be equal price will be
$6.40 for 32ounce
yet is not is
$6.24 for 32ounce so the big box is less expensive
I need help with this question! Will mark brainliest :)
Answers
Answer:
y = 7x + 1
Step-by-step explanation:
This is the most viable option because m=7/1 and the y intercept is y=1
y = 2x – 4
y = -x + 5
Answers
Answer:
(3, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x - 4
y = -x + 5
Step 2: Solve for x
Substitution
Substitute in y: 2x - 4 = -x + 5Add x to both sides: 3x - 4 = 5Add 4 to both sides: 3x = 9Isolate x: x = 3Step 3: Solve for y
Define equation: y = -x + 5Substitute in x: y = -3 + 5Add: y = 2Will mark Brainliest!!!
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.
There is a number that is three-fifths the total of the other number. When four is added to one of the numbers their sum will be equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they?
Answers
Answer:
6 and 10
Step-by-step explanation:
Let a = the first number(3/5 of the second number namely b)
Let b = the number that is 5/3 of a
a=3/5 b
Assuming they are both positive integers, obviously you will have to add 4 to a.
4+a = b
4 + 3/5 b = b
2/5 b = 4
b = 10
a=6
ONLY ASSUMING IF THEY ARE BOTH POSITIVE INTEGERS
Fiteen packs of fruit snacks cost $3. How much do 5 paxks of fruit snack cost?
Answers
15x = 15
X = $1
Would you need circumference or area to find the amount of oil it takes to cover the bottom of a frying pan?
Answers
Answer:
circumference
Step-by-step explanation:
Write the equation of the graphs which have m=2, c = 1
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
formula for equation of graph:
[tex]y = mx + c[/tex]
substitute m = 2 and c = 1 into the equation
[tex]y = 2x + 1[/tex]
Step-by-step explanation:
please see it my step work solution
Solve the equation
9x^2 - 64= 0
9x^2 + 64= 0
Answers
Answer:
x1= - 8/3 , x2= 8/3
Step-by-step explanation:
b
-
27 =43
I would really appreciate your help
Answers
Answer:
B = 70
Step-by-step explanation:
Answer:70
Step-by-step explanation:
A line passes through the point (-2, 4), and its y-intercept is (0,6). What is the equation of the line that is
perpendicular to the first line and passes through the point (5, 4)?
Answers
Answer:
y = -x + 9
Step-by-step explanation:
The line that passes through the points (-2,4) and (0,6) has a slope of 1, and a y intercept of 6. The equation to the first line is y = x + 6. and perpendicular lines always have the opposite, reciprocal slope of the other line. So the slope for the second line would be -1. A line with the slope of -1 and a point of (5,4) would contain the points (5,4) , (4,5) , (3,6) , (2,7) , (1,8) , and (0,9) , which is the y intercept for the second line. So the equation for the second line would be y = -x + 9
The demand for Titos Tacos increased so much that Tito has decided to increase his prices by 10%. Write a single term expression that represents the new price of one of Titos Tacos if the original price was t dollars
Answers
Answer:
Concept: Mathematical Representation
They increased their price by 0.10Let y be the new price of one of Titos TacosLet t be the original price Hence y= t * 0.10a line passes through (3, -2) and (6, 2).
a. Write an equation for the line in point slope-form
b. rewrite the equation in standard form using integers
Answers
9514 1404 393
Answer:
a) y +2 = (4/3)(x -3)
b) 4x -3y = 18
Step-by-step explanation:
a) The slope formula gives part of what is needed for point-slope form:
m = (y2 -y1)/(x2 -x1)
m = (2 -(-2))/(6 -3) = 4/3
Point-slope form is ...
y -k = m(x -h) . . . . . . for slope m and point (h, k)
Using the first point, we get ...
y +2 = 4/3(x -3)
__
b) Multiplying by 3 and eliminating parentheses, we get ...
3(y +2) = 4(x -3)
3y +6 = 4x -12
Adding 12 -3y to both sides gives ...
18 = 4x -3y
Putting this in the usual form, we have ...
4x -3y = 18
what should be added
2x ^3+ 3x^2+8x-4
to get 0 ?
Answers
Answer:
-2x^3 - 3x^2 -8x + 4 should be added
Step-by-step explanation:
Here, we want to know what should be added to the expression to get 0
What we should do in this case is to simply negate the values we have in the expression already
Adding the negated values will give 0
So, we have that;
-2x^3 - 3x^2 -8x + 4
Which equation correctly uses the value of x to represent the cosine of angle A? cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction
Answers
Here is the full question:
Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.
Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.
Which equation correctly use the value of x to represents the cosine of angle A?
cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction
Answer:
cos(53°) = StartFraction y Over 5 EndFraction
Step-by-step explanation:
From the information above:
The sketch of the triangle is drawn and attached in the diagram below.
To find x using the sine rule,
We know that:
[tex]Sin \theta = \dfrac{opposite}{hypothenuse}[/tex]
∴
[tex]Sin (53^0) = \dfrac{4}{x}[/tex]
Making x the subject of the formula:
[tex]x = \dfrac{4}{Sin \ 53^0}[/tex]
[tex]x = \dfrac{4}{0.7986}[/tex]
[tex]x \simeq 5[/tex]
Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.
Recall that:
[tex]Cos \theta = \dfrac{adjacent}{hypothenuse}[/tex]
[tex]Cos \ 53^0 = \dfrac{y}{x}[/tex]
where; x = 5
[tex]Cos \ 53^0 = \dfrac{y}{5}[/tex]
Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:
cos(53°) = StartFraction y Over 5 EndFraction
Answer:
simple answer B
Step-by-step explanation:
Which statement below best describes what a ratio is.
A . A comparison
B. A comparison of many things
C.A number
D. A comparison of two quantities using diwasion
Answers
Please help im dumb iufrjvg
Answers
Answer:
or lazy haha
4. 3 [tex]\frac{1}{5}[/tex]
5. 17.5
6. -[tex]\frac{2}{5}[/tex]
7. 50
Hope I Helped
If one of the zeroes of the cubic polynomial p(x)=ax³+bx²+cx+d is zero then find the product of other two zeroes of p(x).
Answers
Answer:
As one of the zeros of polynomial is 0, then (x-0) =x is a factor of given polynomial.
Since x is a factor , d= 0
ax^3+bx^2+cx+d = ax^3+bx^2+cx
= x(ax^2+bx+c)
Other two roots are roots of
ax^2+bx+c = 0
For a quadratic equation ax^2+bx+c = 0
Product of roots = c/a
Sum of roots = -b/a
So
Product of other two roots = c/a
Hope this helps :D
If a quadratic equation has no real solutions, is it still a function? I don't seem to know why
Answers
Answer:
That’s interesting I would figure isn’t a function because the point of a function is to find the solution but if there is no solu then it has lost its purpose.
A circle has a diameter of 8 cm. What is its circumference?
Use 3.14 for a, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer:
c=3.14d
c=3.14*8
c=25.12
25.12 cm
A pet store owner has a 1/2 -pound bag of dog treats treats that she divides evenly among 16 dogs.
What amount of dog treats, in pounds, does each dog receive?
Answers
Answer:
1/32 or in decimal form 0.313
Each dog will receive 1/32 pounds of dog treat.
What is unitary method ?Unitary method is first obtaining the value of a single unit then deriving the given unit from it by multiplying it.
Suppose in 1 hour a car can go 50 miles,So in 3 hours it will go to (3×50) = 150 miles.
According to the given question a pet store owner has a 1/2 -pound bag of dog treats that she divides evenly among 16 dogs.
∴ Each dog will receive (1/2)/16 pounds of dog treat which is
= 1/2×1/16 pounds of dog treat.
= 1/32 pounds of dog treat.
learn more about unitary method here :
https://brainly.com/question/23423168
#SPJ2
logan enjoys taking his dog to the park. he walks doen hickory st. turns into maple ave. to meet his friend, brett, and then continues on maple ave. to the park. what is the approximate distance from bretts house to the park
Answers
Answer:
ummm there is no chart or multiple choice so imma go off a limb here and say 1/2 mile
hope this helps
sorry if its wrong i had no chart
Step-by-step explanation:
Answer:
2 miles
Step-by-step explanation:
he walks to to maple avenue to meet his friend is a mile,so to continue his walk on maple avenue to the park is another mile.
What value of p makes the equation true? -3x + 8 = -1/4
p=_
Answers
Answer:
p= 11/4
Step-by-step explanation:
What is the slope of the line shown on the graph?
Answers
1/3 because the slope triangle goes over three and up one and it is rise over run.
Answer:
1/3
Step-by-step explanation:
rise over run- the line goes up one and over three everytime it perfectly intersects a sport on the graph
What is the distance between point A and point B? Round to nearest tenth.
Answers
Answer:
[tex]d \approx 12.6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point A (-4, 2)
Point B (8, 6)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(8+4)^2+(6-2)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(12)^2+(4)^2}[/tex]Exponents: [tex]d = \sqrt{144+16}[/tex]Add: [tex]d = \sqrt{160}[/tex]Simplify: [tex]d = 4\sqrt{10}[/tex]Evaluate: [tex]d = 12.6491[/tex]Round: [tex]d \approx 12.6[/tex]Okay so how would you simplify 6/7 divided by 1/2 to show work?
Answers
Answer:
1 5/7
Step-by-step explanation:
well lets show you!!
6/7 ÷ 1/2 = (Always flip the fraction on the right side) 6/7 x 2= 12/7 = 1 5/7
Hope this helps ∞<3
Question 4 (10 points)
Which sentence is written in third-person point of view? (10 points)
a
Once a small crowd of protesters, we were now an angry mob.
b
Our small crowd of protesters was now an angry mob.
c
The small crowd of protesters had turned into an angry mob.
d
Your small crowd of protesters has now become an angry mob.
Answers
Answer:
C, "The small crowd of protesters had turned into an angry mob".
Step-by-step explanation:
A and B are 1st person point of view because of "we" and "our". D is 2nd person point of view because of "your".
Answer:
c. The small crowd of protesters had turned into an angry mob.
Point of view is a way the voice sounds.
1st person uses: I, we, she, he, her, my. (it sounds like you are in their head.)
2nd person uses: you, your. (it sounds like the narrator is talking directly to you.)
3rd person uses: they, them he, her. (it sounds like someone is watching the story happening and is telling it from an outside point of view.
1st: My friends and I can't wait until Christmas.
2nd: You and your friends can't wait until Christmas.
3rd: Macy and her friends can't wait until Christmas.