The force required to compress a spring varies directly as the change in the length of the spring. If a force of 15 pounds is required to compress a certain spring 5 inches, how much force is required to compress the spring 8 inches?
The equation will be F = 3x. Then the force required to compress the spring 8 inches will be 24 pounds.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A spring's length directly relates to the amount of force needed to compress it.
Let F be the force and x be the compressed length. Then the equation will be
F ∝ x
F = kx
If a force of 15 pounds is required to compress a certain spring 5 inches. Then the value of the variable k will be
15 = 5k
k = 15/5
k = 3 pounds per inch
Then the equation will be
F = 3x
The force required to compress the spring 8 inches will be
F = 3 (8)
F = 24 pounds
The force required to compress the spring 8 inches will be 24 pounds.
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Just answer no worker needed to show
Answer:
Therefore, the correct answer is 24,069,100.
Step-by-step explanation:
(6.91 x 10^4) = 6.91 x 10,000 (10 x 10 x 10 x 10) or 69,100.
(2.4 x 10^7) = 2.4 x 10,000,000 (10 x 10 x 10 x 10 x 10 x 10 x 10) or 24,000,000.
24,000,000 + 69,100 = 24,069,100
Therefore, the correct answer is 24,069,100.
Hope this helps! :D
10) Find x ifm/LMP = x+73, m/LMN = 152°, and m/PMN = 81 + x. L P M N
Answer: x=-1°
Step-by-step explanation:
m∠LMP=x°+73° m∠PMN=81°+x° m∠LMN=152° x=?
m∠LMP+m∠PMN=m∠LMN
x°+73°+81°+x°=152°
2x°+154°=152°
2x°+154°-154°=152°-154°
2x°=-2°
Divide both parts of the equation by 2:
x°=-1°
The residuals for data set A and data set B were calculated and plotted on
separate residual plots. If the residuals for data set A form a pattern and the
residuals for data set B do not form a pattern, what can be concluded?
Answer:
The answer is A linear model is a good fit for data set b but not data set a
Step-by-step explanation:
It can be concluded that data set A is linear, and data set B is not linear.
What is regression line?A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables. If [Y] is the dependent variable and [X] is the independent variable, the [Y] on [X] regression line equation is represented as follows:[Y] = a + b[X] + ɛ
Given is that residuals for data set A and data set B were calculated and plotted on separate residual plots.
If the residuals for data set [A] form a pattern and the residuals for data set [B] do not form a pattern than it can be concluded that data set A is linear, and data set B is not linear.
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At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percentage of the usual price is the savings?
15%
Explaination according to zehtmnt who also answered this question by another person:
You have to do a proportion
12. = x
80 100 and u have to cross multiply
80x = 1200
80. 80
Which expression is equivalent to (2.9)4? HELP ASAP
Answer:
2^4 * 9^4
Step-by-step explanation:
(2*9)^4
We can take the power to each term inside the parentheses
2^4 * 9^4
is 12,43 a solution of y =3x+7
Answer:
Yes it is
Step-by-step explanation:
Justin's new music player has more than 50 songs
but less than 90 songs. The number of songs is 3
more than a multiple of 5. It is also 2 more than a
multiple of 6. How many songs are on the player?
Factor using the given common factor. Assume all variables represent postive real numbers.
3y^-4 + y^-5 ; y^-5
3y^-4+y^-5=
On factorizing 3y⁻⁴ + y⁻⁵ with the given factor y⁻⁵ we get y⁻⁵(3y + 1 ).
Factorization of the polynomial refers to the process of expressing the polynomial as a product of two or more factors.
For Example ; the factors of x²-16 can be written as (x+4)(x-4).
In the given question
(3y⁻⁴ + y⁻⁵)
the common factor y⁻⁵ is given
we have to factorize using the common factor .
taking y⁻⁵ common from both the terms we get
= y⁻⁵(3y⁻⁴/y⁻⁵ + 1 )
=y⁻⁵(3y⁻⁴⁺⁵ + 1 )
=y⁻⁵(3y¹ + 1 )
=y⁻⁵(3y + 1 )
Therefore , On factorizing 3y⁻⁴ + y⁻⁵ with the given factor y⁻⁵ we get y⁻⁵(3y + 1 ).
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Please help very important!!!! ( dont steal or guess) (I will give brainiest if you have proof)
Answer:
[tex]A) AA[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that\\\The\ Angles\ of\ \triangle 1,\ are\ 40, 100\\The\ Angles\ of\ \triangle 2\ are\ 40, 40\\The\ Hence,\\Through\ Angle\ Sum\ Property\ Of\ A\ Triangle, \\The\ Angles\ of\ \triangle 1,\ are\ 40, 100,40\\The\ Angles\ of\ \triangle 2\ are\ 40, 40,100\\\\As\ we\ can\ observe\ that\ all\ ANGLES\ of\ the\ triangles\ correspond, \\through\ AA\ Similarity\ Postulate. which\ states\ that\ if\ two\ triangles\ have\ two\\ or\ more\ corresponding\ angles,\ the\ triangles\ are[/tex]
[tex]SIMILAR[/tex]
. Vacation Days If the average number of vacation days for a selection of various countries has a mean of 29.4 days and a standard deviation of 8.6, find the z scores for the average number of vacation days in each of these countries.
Answer:
For Canada = -0.3953
For Italy = 1.46511
For USA = -1.9069
Step-by-step explanation:
Given:
Mean μ = 29.4 days
Standard deviation σ = 8.6
Missing Data
For
Canada = 26 days
Italy = 42 days
USA = 13 days
Find:
Z scores
Computation:
Z scores = [X-μ]/σ
For Canada
Z scores = [26-29.4]/8.6
Z scores = -0.3953
For Italy
Z scores = [42-29.4]/8.6
Z scores = 1.46511
For USA
Z scores = [13-29.4]/8.6
Z scores = -1.9069
On opening day at Darien Lake, Kelly pays $40 for admission to the park. She wants to play
the games in the midway. Each game cost $1.50 to play. Write an expression to represent
Kelly's total cost at the park if she plays "g" games.
Answer: it would be like this $40+1.50g=t
Step-by-step explanation:
Explain how to find 40x80 using mental math
so 40 * 80 = 3,200
4 * 8 = 32
Then add the two 0's to the end
so 3,200
Answer:
The best way to solve 40x80 using mental math is to break down the problem.One example would be to solve 4x8 then add the two zeros to your answer to get 3200.
Step-by-step explanation:
Write an expression, using an exponent, that is equivalent to 8×8×8×8
Answer:
8 to the power of 4
Step-by-step explanation:
since their are four 8, (8x8x8x8) , you have to put that into an exponent
still need proof?
8x8x8x8=4096
8 to the power of 4 = 4096
so to conclude, 8 to the power of 4 is the same thing as saying 8x8x8x8, it is jsut the exponent version
I'LL BRAINLIST!!!!
solve each proportional
4/12= y/9
12/m= 3/5
y/5= 13/10
5/10= 8/w
Which shows the correct solution of the equation 1/2a+2/3b=50 , when b=30
The solution to the equation 1/2a + 2/3b = 50 when b = 30 is a = 60
How to determine the correct solution of the equation?The equation is given as
1/2a + 2/3b = 50
The value of b is given as
b = 30
So, we have
1/2a + 2/3 * 30 = 50
Evaluate the product
So, we have
1/2a + 20 = 50
Evaluate the like terms
So, we have
1/2a = 30
Multiply both sides by 2
a = 60
Hence, the solution to the equation 1/2a + 2/3b = 50 when b = 30 is a = 60
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if you can say what is on my mind you get 10 brainy point
Answer:
what is on my mind
Step-by-step explanation:
there was 2 ppl answering before so i couldn't say this
What is the solution to the equation? 3x+5=−2x+20 x=15 x=25 x=5 x=3
Answer:
well, x= -4/11
Step-by-step explanation:
What is the answer to this
Answer:
I believe it is c
Answer:
c is the correct answer
Y = -3x - 2 and 5x + 2y = 15
Answer:
(-19, 55)
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 = -3x - 2
5x + 2y = 15
Step 2: Solve for x
Substitution
Substitute in y: 5x + 2(-3x - 2) = 15Distribute 2: 5x - 6x - 4 = 15Combine like terms: -x - 4 = 15Isolate x term: -x = 19Isolate x: x = -19Step 3: Solve for y
Define original equation: y = -3x - 2Substitute in x: y = -3(-19) - 2Multiply: y = 57 - 2Subtract: y = 55I'm really struggling with this problem, can someone help me please? :(
The length of AB after dilation is 3/5cm.
what is scale factor?The size by which the shape is enlarged or reduced is called as its scale factor.
Scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape.
It is used to increase or decrease the size of an object.
The scale factor can be calculated if the dimensions of the original figure and the dimensions of the dilated (increased or decreased) figure are known.
For example, a rectangle has a length of 5 units and a width of 2 units. Now, if we increase the size of this rectangle by a scale factor of 2, the sides will become 10 units and 4 units, respectively. Hence, we can use the scale factor to get the dimensions of the changed figures.
Given:
Length of AB = 3 cm
scale factor = 1/5
As, we know
scale factor = change in length / Actual length
1/5 = Change in length / 3
Change in length = 3/5
Hence, the length of AB after dilation is 3/5 cm
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If 20% of the students in your class like McDonald's, how many students are in your class if 4 students like McDonald's?
Answer: it is 20 students
Answer:
16 students
Step-by-step explanation:
4 students is 20% ,8 students is 40%, 12 students 80%, 16 students 100%
A nurse has a patient's prescription for ciclosporin of 10mg/kg, it means, 10 milligrams of ciclosporin for each kilogram of the patient's weight.
If the child’s weight is 26.4 pounds, how many milligrams of ciclosporin must the nurse give to the child?
Answer:
119.75mg
Step-by-step explanation:
Convert pounds to kg and then multiply by 10 and round to the nearest tenth
The graph of the linear function k passes through points (-7,0) and ((1,8)
What's the difference of 9.37 and 0.06?
BRAINLIEST IF YOU ANSWER
Answer:
34.5 ft squared
Step-by-step explanation:
Split the figure into a triangle and two rectangles. The two vertical lines on the figure already do that. The triangle's area is 3*3/2 because 8 - 3 - 2 = 3 is the base and the height is 3. Use b * h/2. The area of the smaller rectangle is 2 *3. The area of the larger rectangle is 8 * 3. Add the areas up: 4.5 + 6 + 24 = 34.5.
how to make 2.126 as a fraction
Answer: 1063/500
Step-by-step explanation:
3 students wrote expressions of their dry erase boards.
Student 1 - (5r - 3s +1)
Student 2 -5r + 3s + 1
Student 3 -5r + 3s - 1
Which of these students wrote equivalent expressions?
A. Student 1 and Student 3
B.Student 2 and Student 3
C. Student 2
D. Student 3
Answer: Students 1 and 3
Step-by-step explanation:
student 1=
- (5r+3s-1)=
-5r+3s-1=
the same answer as student 3
Solve the quadratic equation by completing the square.
Answer:
x'1 = -1
x'2 = 8
Step-by-step explanation:
Answer:
x = - 1, x = 8
Step-by-step explanation:
Given
x² - 7x - 8 = 0 ( add 8 to both sides )
x² - 7x = 8
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- [tex]\frac{7}{2}[/tex] )x + [tex]\frac{49}{4}[/tex] = 8 + [tex]\frac{49}{4}[/tex] = [tex]\frac{81}{4}[/tex]
(x - [tex]\frac{7}{2}[/tex] )² = [tex]\frac{81}{4}[/tex] ( take the square root of both sides )
x - [tex]\frac{7}{2}[/tex] = ± [tex]\sqrt{\frac{81}{4} }[/tex] = ± [tex]\frac{9}{2}[/tex] ( add [tex]\frac{7}{2}[/tex] to both sides )
x = [tex]\frac{7}{2}[/tex] ± [tex]\frac{9}{2}[/tex]
Thus
x = [tex]\frac{7}{2}[/tex] - [tex]\frac{9}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
x = [tex]\frac{7}{2}[/tex] + [tex]\frac{9}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8
At a theme park, the ticket price for children is c for adults is $17 more than that. Write an expression to show the cost of tickets for 2 adults and 5 children. Simpilfy the expression.
Answer:
Cost is 7c+34.
Step-by-step explanation:
2(c+17) + 5c
=2c+34+5c
=7c+34