Answer:
x=6
Step-by-step explanation:
Let X = Rob's weekly allowance
If he spent 1/2 of it on candy, then he had 1/2 of it left (1/2)X
After he earned $6 for cleaning the oven, he had $9.
So,
(1/2)X + 6 = 9
(1/2)X = 3
X = 6
A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of 50 cm/s, and if there is no damping, determine the position u of the mass at any time t. (Use g = 9.8 m/s2 for the acceleration due to gravity. Let u(t), measured positive downward, denote the displacement in meters of the mass from its equilibrium position at time t seconds). What does u(t) equal?When does the mass first return to its equilibrium position? (What does t in seconds equal?)
Answer:
Step-by-step explanation:
Given that:
mass m = 100 g = 0.1 kg
Length of the spring = 5 cm = 0.05 m
The set in motion from the equilibrium position u(0) = 0
The set in motion from its equilibrium position with a downward velocity u'(0) = 50 cm/s = 0.5 m/s
The spring constant (k) = [tex]\dfrac{0.1 \times 9.8}{0.05}[/tex]
The equation of the system is expressed as:
[tex]\dfrac{1}{10} u'' + \dfrac{98}{5} u =0[/tex]
By estimating the characteristics equation, we have r = ± 14[tex]i[/tex]
Thus; the general solution is:
[tex]u(t) = c_1cos \ 14t + c_2 sin 14 \ t[/tex]
By applying the initial condition:
u(0) = 0
⇒ 0 = [tex]c_1[/tex]
∴
[tex]\dfrac{du}{dt} = ( - c_1 \ sin 14 t )\times 14 +14c_2 \ cos 14 t[/tex]
u'(0) = 0.5
0.5 = 14 × c₂
c₂ = 0.5/14
c₂ = 1/28
∴
[tex]\mathbf{u(t) = \dfrac{1}{28} sin 14 t}[/tex]
Equating u(t) = 0, we have t = π/14sec as the time when the mass first returns to its equilibrium position.
Dianna and lucile walked to their granfather's house to visit him. It took them 2/5 of an hour to get there and 1 ½ hours to get back home. How much time did they spend in going both ways?
What is asked? __________
What are given? __________
Write the mathematical sentece________
Solution and answer _______
Answer it please
how to do it and the answers are above
i hope this help you
if you don't understand, please comment ✔️✔️✔️
Answer:
1h 54 mins
Step-by-step explanation:
What is asked? : time did they spend in BOTH ways
What are given? : time they go and back
Write the mathematical sentece :
[tex]( \frac{2}{5} \times 60) + (1 \frac{1}{2} \times 60) = [/tex]
Solution and answer : (24) + (90) = 114 mins
= 114 mins - 60 mins
= 1h 54 mins
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
Answer:
man the answers are 40 10 30
Step-by-step explanation:
Biologists tagged 134 fish in a lake on January 1. On February 1, they returned and collected a random sample of 56 fish, 14 of
which had been previously tagged. On the basis of this experiment, approximately how many fish does the lake have?
Answer:
There should be 120 fishes approximately in the lake
what is the missing value in the table below?
The missing number in the given table is 180 minutes.
To find the value of x in the equation 2/120 = 3/x, we can use cross multiplication.
First, we multiply both sides of the equation by 120
(2/120) * 120 = (3/x) * 120
To simplify, we have:
2 = 3 * (120/x)
2/3 = (120/x)
To solve for x, we can multiply both sides of the equation by x:
(x) * (2/3) = (120/x) * (x)
2x/3 = 120
To isolate x, we can multiply both sides of the equation by 3/2:
(2x/3) * (3/2) = 120 * (3/2)
x = 180
Therefore, the value of x in the equation 2/120 = 3/x is x = 180.
Learn more about equations here;
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Options:
-does
- does not
Answer:
It does!
Step-by-step explanation:
A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
Source: Columbia.edu
(I'm greedy and want points )
A store sells mugs. Each mug costs the same amount. During a sale, the store reduces the price of each mug by $1.75. Wen spends $28.20 on 5 mugs at the sale price.
I'm not that good at math
the perimeter of a rectangle is at most 66 inches. the length is 2x + 6 inches and the width is x - 3 inches. write and solve an equation or inequality to find the value of x.
Answer:
Step-by-step explanation:
2( 2x + 6 ) + 2( x - 3 ) ≤ 66
3x - 3 ≤ 33
x ≤ 10
x ∈ ( - ∞ , 10]
Answer:
12
Step-by-step explanation:
that is the answer
please help it’s timed
Find the slope of the line
Answer:
WE{OFGiuhu argoih
Step-by-step explanation:
Answer:-3
Step-by-step explanation:
y2-y1/x2-x1=m
-3-3/6-4=-6/2=-3
Write a word problem using "less than"
someone help
Answer:
Sandra had 500 beads in a jar, her sister, Dandra has 300 beads less than Sandra. How many beads does Dandra have?
:)
A shelf holds 12 books in a row. How many ways are there to choose five books so that no two adjacent books are chosen
Answer:
792 ways
Step-by-step explanation:
We can solve this using the combination formular
[tex]nCr= \frac{n!}{r!(n-r)!}[/tex] where n represents the total number of objects/items, and r represents the number of items being chosen at a time.
Hence, in this case, n = 12, r = 5, which is = [tex]nCr= \frac{12!}{5!(12-5)!}[/tex] = 792.
Therefore, there are 792 ways to choose five books so that no two adjacent books are chosen.
If m<1=55, find m<8.
Find all the factor pairs for 84 and complete the equations.
84 =
X 84
84 = 2 x
84 = 3 x
84 = 4 x
84 = 6 x
84 =
X 12
Also the explanation:)
Answer:
276 guests were at the wedding.
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{4+5}{12}[/tex] = [tex]\frac{9}{12}[/tex]
1 - [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] of the guests are 69 guests ⇒ 69 × 4 = 276 guests were at the wedding.
Nutted now I’m shaking
Answer:
Um... Ok..
Step-by-step explanation:
...
3x+8
What is the solution of
3x+8 /X-4>_
0?
oxs-orx>4
x 8
*<-3 or x>4
Osx<4
0 - 3 < x <4
Answer:
a
Step-by-step explanation:
The solution of the inequality 3x + 8 / (x -4 ) ≥ 0 is x≥ -8/3.
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
We have the inequality,
3x + 8 / (x -4 ) ≥ 0
Now, simplifying the inequality
3x + 8 ≥ 0
3x ≥ 0-8
3x ≥ -8
x ≥ -8/3
Learn more about Inequality here:
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If x = 4, what is the value of 4/5 (2 + 7) − 2/3 (2 + 7)?
A 2
B 5
C 15
D 22
Answer:
d=56
Step-by-step explanation:
For f(x)=-5x+10, what is the value of x for which f(x) =35
X = 5
None are correct
X=3
X=-4
X=-5
Answer:
x=-5. -5x+10 replace the x with -5, multiply, add ten, and you'll get f(x)= 35
Answer:
-5
Step-by-step explanation:
f(x) =35
f(x) = -5x +10
equate the two equations:
-5x +10 =35
-5x =35-10
-5x =25
x = 25/-5
x = -5
Ellen borrowed some money from her brother. She paid him back by giving him the same amount every week.The graph shows how much DO after each week.
A. 18 weeks
B.6 weeks
C.12 weeks
D. She will never pay it back
In timed pls help
To find this product, Julissa first multiplied 83 x 49.
0.83 x 0.49 = 4067
Where should she place a decimal point in the final product
O Before the 4
O after the 4
O after the 0
O before the 7
Answer:
that guys answer is right thx and have a god day :)
Step-by-step explanation:
Substitution
2x-y=7
3x-2y=10
Answer:
x=4
y=1
Step-by-step explanation:
Is he sus or WHAT? I saw him venting
Answer:
He is so sus.... and cute! ^-^
Step-by-step explanation:
The store buys easels for 10.20 each he marks up the cost by 75% to get the selling price what is the selling price of each easel? show your work
can someone teach me how to isolate variables in algebra
PLEASE HELP meeeeee asap
PLZ HELP I BEG YOU !!!!!!!!!!1
Answer:
The Answers are right under you.
Eva is picking fruit at a farm. The fees are $5 for entry to the farm, $2.50 per pound of blueberries, and $2 per pound of apples she picks to take home. Let b be the number of pounds of blueberries and a be the number of pounds of apples Eva picked. Which of the following expressions could represent how much Eva pays?
I'm just curious
Answer:
The required expression is: [tex]y = 5 + 2.50b + 2a[/tex]
Step-by-step explanation:
Given
[tex]Entry = \$5[/tex]
[tex]Blueberry = \$2.50[/tex]
[tex]Apple = \$2[/tex]
Required
Write an expression for this scenario
If 1 pound of blueberry cost $2.50
then b pounds = 2.50 * b
If 1 pound of apple cost $2
then a pounds = 2 * a
The required expression (y) is then calculated as
[tex]y = Entry\ Fee + Blueberry = Apple[/tex]
[tex]y = 5 + 2.50 * b + 2 * a[/tex]
[tex]y = 5 + 2.50b + 2a[/tex]
Hence, the required expression is: [tex]y = 5 + 2.50b + 2a[/tex]
Which one is an expression, which one is an equation, or neither? Picture below
Answer:
Check Explanation
Step-by-step explanation:
5b = 25 (equation)
5b (neither)
5(3+4) (expression)
Hii what’s the answer???
Answer:
d
Step-by-step explanation:
If f(x)= -4x + 3 and g(x) = 3x² + 2x - 4 find (f+g)(x)
Answer:
A
Step-by-step explanation:
We have the two functions:
[tex]f(x)=-4x+3\text{ and } g(x)=3x^2+2x-4[/tex]
And we want to find (f+g)(x).
Note that this is the same thing to f(x)+g(x). Therefore:
[tex]\begin{aligned} (f+g)(x)&=f(x)+g(x) \\ &=(-4x+3)+(3x^2+2x-4) \end{aligned}[/tex]
We simply substituted them for their equations.
Simplify. Combine like terms:
[tex]=(3x^2)+(-4x+2x)+(3-4)[/tex]
Add:
[tex]=3x^2-2x-1[/tex]
Hence, our answer is A.