Answer:
Let F = the force (6 lbs) and x be the distance that the spring is stretched (12 inches).
F = kx
6 lb = k*(12 in.)
6/12 = k = 0.5 lb/in.
A weight of 6 lb stretches a spring a distance of 12 in. The constant k for the spring will be 0.5 lb/in.
How to obtain acceleration from force applied on an object?If the object is of mass m kg and force applied on it is of F N in the direction of motion, then the acceleration of that object is evaluated as:
a= F/m
Given; A weight of 6 lb stretches a spring a distance of 12 in.
Also,
Let F = the force and x be the distance that the spring is stretched
F = kx
6 lb = k*(12 in.)
6/12 = k = 0.5 lb/in.
Therefore, the constant k for the spring will be 0.5 lb/in.
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How many kilograms of chocolate will each person get if 4 people share 13 of a kilogram of chocolate equally?
Step-by-step explanation:
hope it helps
plz rate my answer
If M (4.2) is the midpoint of AB and A (-5, -3), find the coordinates of B.
Given:
M(4,2) is the midpoint of AB and A(-5, -3).
To find:
The coordinates of B.
Solution:
Let the coordinates of point B are (a,b).
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
M(4,2) is the midpoint of AB and A(-5, -3).
[tex]M=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]
[tex](4,2)=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]4=\dfrac{-5+a}{2}[/tex]
[tex]8=-5+a[/tex]
[tex]8+5=a[/tex]
[tex]13=a[/tex]
And,
[tex]2=\dfrac{-3+b}{2}[/tex]
[tex]4=-3+b[/tex]
[tex]4+3=b[/tex]
[tex]7=b[/tex]
Therefore, the coordinates of point B are (13,7).
Which graph represents an exponential function?
Answer:
second which would be c for edg
Step-by-step explanation:
Which situations can be represented by an exponential function?
Select each correct answer.
Every year, the number of online video subscriptions increases by 3 times what is was the previous year.
In a structure made of bricks, each row has 10 more bricks than the previous row.
The value of a vehicle decreases by 11% each year.
A dentist's office accepts 15 new patients each month.
9514 1404 393
Answer:
(a) subscriptions
(c) vehicle value
Step-by-step explanation:
Exponential functions are used to describe situations where the amount of change is proportional to the amount.
If the amount of change is a constant, then the function is linear.
A. video subscribers change by an amount proportional to their number, so is an exponential function.
B. the change in number of bricks in a row is a constant, so the function is a linear function.
C. The amount of change is proportional to the value, so the function is an exponential function.
D. The change in patient count is a constant, so the function is a linear function.
if 20(mod 9) is equivalent to y(mod 6) find y
Answer:
First, reduce 20(mod 9) to its simplest form in mod 9; 9 x 2 + 2 = 2(mod 9)
If 2(mod 9) y(mod 6), then y = 2 by comparism
Hope it helped!!!
(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
Answer:
option D
Step-by-step explanation:
option D is the correct answer .
plz mark my answer as brainlist.
Consider a right triangle ABC where ZC is
the right angle. If sin A = 3/5 and cos A =4/5,
what is cos B?
Answer:
3/5
Step-by-step explanation:
How many solutions does -7+5x=5x+9
Answer:
There are no solutions. This question is impossible.
Step-by-step explanation:
Need help with math question 8th grade math
Answer:
Step-by-step explanation:
I am also in 8th grade, anyways
x reprsents = 30 nickles
y represents = $1.02.
I am very sorry i do not know EQ1 and EQ2, but hopefully this is helpful!
Answer:
Step-by-step explanation:
x reprsents = 30 nickles
y represents = $1.02.
Intro to slope-intercept form What is the y-intercept of the line represented by y = -6x – 11? Choose 1 answer: А (0, -6 B (0, -11) (-6,0) D (-11,0) Check About
pls help i suck at math
Answer:
d
Step-by-step explanation:
Simplify the expression
Answer:
-9.8n + 10.9
Step-by-step explanation:
2.9 + 8 = 10.9
-4n + -5.8n = -9.8n
April buys a necklace that cost $38.25. There is a 6% sales tax. What is the total cost?
Answer:
$40.55
Step-by-step explanation:
...what's
[tex]({1 + 2 } ) \div( 1 -2)[/tex]
Answer:
-3
Step-by-step explanation:
(1+2)/(1-2)
= 3/-1
= -3
Answer:
-3
Step-by-step explanation:
(1+2) ÷ (1-2) = 3 ÷ -1 = -3
Rearrange p=r+3 to make r the subject
Answer:
r = p-3 this is correct answer of this question
The equation p=r+3 can be rearranged as r=p-3
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is p=r+3
p equal to r plus r
Plus is the operator of addition and p and r are variables
Subtracting 3 from both sides, we get:
p - 3 = r + 3 - 3
Simplifying the right-hand side:
p - 3 = r
Therefore, r = p - 3.
Hence, the equation p=r+3 can be rearranged as r=p-3
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I need help PLEASE !!!! Write a cosine function that has an amplitude of 2, a midline of 4 and a period of 4.
Answer:
[tex]\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}[/tex]
Step-by-step explanation:
The standardized cosine function is ;
[tex]\mathbf{y = Acos (Bx + C) +D}[/tex]
Amplitude |A| = 2
Period [tex]\dfrac{2 \pi}{B }= 4[/tex]
2π = 4B
[tex]B = \dfrac{2 \pi}{4}[/tex]
[tex]B = \dfrac{\pi}{2}[/tex]
Midline y = 4; D = 4
Phase shift; since no phase shift is given; then C = 0
The cosine function: [tex]\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}[/tex]
please help and show work
To prove that the triangle is scalene, calculate all the lengths of the sides.
The formula for a line like this is basically pythagorean theorem, which is
[tex]p = \sqrt{ {(y2 - y1)}^{2} + {( x2 - x1})^{2} } [/tex]
(x1, y1) and (x2, y2) are the respective vertexes.
I need help I can’t understand having the answer is going to help a lot
Answer:
Step-by-step explanation:
35[tex]\frac{1}{2}[/tex]÷1[tex]\frac{1}{4}[/tex]=28.4
15% is to be added to a 120 pair of shoes. Find the total
Price for the pair of shoes
Answer:
138
Step-by-step explanation:
120 x .15 = 18
120 + 18 = 138
Answer:
138Step-by-step explanation:
[tex]120+15\%\times120=120+0.15\times120=120+18=138[/tex]
Solve 2(x - 5) = 6(x - 1)
Answer:
60
Step-by-step explanation:
so first you multiply 2 times 5 =15 and the we do 15 times six which is 90 and then subtract one and keep subtracting util you get to 60
Answer:
x=-1
Step-by-step explanation:
2(x-5)=6(x-1)
2x-10=6x-6
-4x-10=-6
-4x=4
x=-1
Adrianna is two years older than Fernando, while Lucy is triple Fernando's age. If the sum of their ages is eighty-two, how old is Adrianna?
HELPPPP MEEEEE!!!!!!
Answer:
18
Step-by-step explanation:
x + (2+x)+ (3x) =82
x+x+3x= 82-2
5x=80
x= 16
Fernando is 16
Adrianna is 2 years older so she is 18
And Lucy is 3x 16=48
together 82
6 (8j - 3l + 9 ) 12l + 14j
Answer:
5822j-15972
Step-by-step explanation:
Answer:
5822j-15972
Step-by-step explanation:
PLEASE HELP ME.What letter should appear next in the sequence? V,T,S,R
Answer:
in what sentence all i see is the letters no image above
subtract (2y + 3x-x²) from (5x²-y2-2x)
Answer:
6x² - 5x - y² - 2y
Step-by-step explanation:
We have
5x² - y² - 2x - (2y + 3x - x² ) ← distribute parenthesis by - 1
= 5x² - y² - 2x - 2y - 3x + x² ← collect like terms
= 6x² - 5x - y² - 2y
Select the correct answer.
What is the simplified form of V45?
OA. 15
OB. 19.5
O c. 35
OD. 53
Answer:
C. 3√5
Step-by-step explanation:
45 = 3 × 3 × 5 considering this the answer is C
Answer:
c
Step-by-step explanation:
Rodrigo practiced playing the guitar 15 1/3 hours over the past 3 weeks.
He practiced for 5 1/4 hours during the first week and 5 2/3 hours during the second week.
How much time did Rodrigo spend practicing during the third week? Use the numbers and symbols to select the equation that represents the problem. Then solve the equation. Symbols may be used more than once or not at all.
15 1/3, 5 1/4, 5 2/3, x, =, and +.
The equation that represents the problem is
a. 15 1/3 = x - 5 1/4 - 5 2/3
b. x = 15 1/3 + 5 1/4 + 5 2/3
c. x + 15 1/3 = 5 1/4 + 5 2/3
d. 15 1/3 = 5 1/4 + 5 2/3 + x
Answer: d. 15 1/3 = 5 1/4 + 5 2/3 + x
Step-by-step explanation:
15 1/3 (total) = 5 1/4 (first week) +5 2/3 (second week) +x (third week)
When you add the amount of time Rodrigo practiced each week, you get the total amount of time he practiced
Jacob has 3 times as many football cards as Eli. Eli has 39 football cards. Tara has 111 football cards. Who has more football cards, Jacob or Tara? How many more?
Answer:
Jacob
Step-by-step explanation:
39*3 = 117
because it says Jacob has 3 times as many football cards as eli... Eli has 39 so 39*3 is 117 and 117 is more than 111
Tamika is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $0.75 per mile driven. How much would a taxi ride cost if Tamika is riding for 5 miles? How much would a taxi ride cost that is m miles long?
Answer:
m= 7.50
Step-by-step explanation:
0.75x5=4.00
4.00+3.50=7.50
A taxi ride cost if Tamika is riding for 5 miles will be $7.25.
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given, Tamika is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $0.75 per mile driven.
Let "m" be the miles Tamika is riding along.
Total additional charges = m *0.75
pick up charges = 3.50
So, Total charges Tamika has to pay for m miles = 0.75*m + 3.50
For m = 5 miles
Tamika has to pay for 5 miles = 0.75 * 5 + 3.50
Tamika has to pay for 5 miles = 7.25
Therefore, 7.25$ would a taxi ride cost if Tamika is riding for 5 miles.
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Mrs. Norton wants to buy health insurance for her family, Plan A costs $620.50 per month. Plan B costs $597.20 per month. How much will she save in 12 months by choosing Plan B instead of
Plan A?
A $7,446.00
B $7,166.40
C $320.60
D $279.60
Answer:
Step-by-step explanation:
620.50 * 12 = 7,446
597.20 * 12 = 7,116.4
7446 - 7116.4 = 329.6
Write the equation of the line that passes through the points (-4,8) and (-2, -1).
Put your answěr in fully reduced point-slope form, unless it is a vertical or horizontal
line.PLEASEEE HELPPP MEE
Answer:
y=-9/2x-10
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-8)/(-2-(-4))
m=-9/(-2+4)
m=-9/2
y-y1=m(x-x1)
y-8=-9/2(x-(-4))
y-8=-9/2(x+4)
y=-9/2x-36/2+8
y=-9/2x-18+8
y=-9/2x-10
hi please help i’ll give brainly but please show your work.
Answer:0.028
Step-by-step explanation: 0.07 x 0.4= 0.028