Answer:
\( |x - 5| \)
Step-by-step explanation:
it is shifting by 5 in x direction by subtracting 5 in absolute value
TRUE / FALSE. when the block is in equilibrium, each spring is stretched an additional ∆x. then the block is set into oscillation with amplitude a; when it passes through its equilibrium point it has a speed v.
The statement is true.
When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.
When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.
The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.
To know more about equilibrium refer here:
https://brainly.com/question/14281439?#
#SPJ11
Justin Bieber and Shawn Mendes are play- ing a game of Raw-Egg roulette. A bowl contains five chicken eggs: 3 eggs have been boiled and 2 eggs are raw. Justin begins the game by selecting an egg and smashing it against Shawn's forehead. If the egg is raw, and therefore splatters on Shawn's face, then Justin is the winner. If the egg was boiled and therefore did not make a mess, then Shawn would select an egg from the same bowl and smash that egg against Justin's forehead. The game proceeds in this fashion until a raw egg is broken. What is the probability that Shawn wins the game? Answer in units of percent. Your answer must be within ± 2.0% Your answer must be within +2%.
The probability that Shawn wins the game is 33.3%.
This is because, out of the five eggs in the bowl, there are three boiled eggs and two raw eggs. Since Justin goes first and there is a 3:2 ratio of boiled eggs to raw eggs, there is a 3 in 5 chance that Justin will select a boiled egg, thus giving Shawn the chance to select an egg. This means that the probability of Shawn selecting a raw egg and winning the game is 2 in 5, or 33.3%.
To explain further, it is helpful to imagine the game in terms of odds. The odds of Justin selecting a boiled egg on his first turn is 3:2 (three chances of a boiled egg being selected and two chances of a raw egg being selected). If Justin selects a boiled egg, then Shawn has the opportunity to select an egg, and the odds of him selecting a raw egg on his turn is 2:3 (two chances of a raw egg being selected and three chances of a boiled egg being selected).
This means that the probability of Shawn winning the game is 2 out of 5, or 33.3%. In conclusion, the probability that Shawn wins the game of raw-egg roulette is 33.3%.
To know more about probability refer here :
https://brainly.com/question/11234923
#SPJ11
PLEASE HELP
Find the Value of X in the given right triangle
Answer:
I think answer is 149 by using Pythagoras theorem
Step-by-step explanation:
sinx= p/h
= 7/10
sinx= 0.7
maybe
3) Find two consecutive even integers such that their sum is equal to the difference of 3 times the larger & 2 times the smaller.
What do they mean by the larger and the smaller?
Answer:
In assumption, x is the smaller even integer and x+2 is the next so it will be larger.
The integers are 4 and 6
Step-by-step explanation:
Let the two consecutive even integers be x and x+2
Here x is the smaller even integer and x+2 is the next so it will be larger.
Now according to the given statement
Sum of both: \(x+x+2\)
difference of 3 times the larger & 2 times the smaller:\(3(x+2)-2x\)
Putting the sum and difference equal:
\(x+x+2 = 3(x+2)-2x\)
Solving the equation
\(2x+2 = 3x+6-2x\\2x+2 = x+6\\2x+2-x = x+6-x\\x+2 = 6\\x+2-2 = 6-2\\x = 4\)
The next integer will be:
\(x+2 = 4+2 = 6\)
Hence,
In assumption, x is the smaller even integer and x+2 is the next so it will be larger.
The integers are 4 and 6.
cosβ=-√2/10. find the angle. plz help me
Answer:\(98.13\ \text{or}\ 261.87^{\circ}\)
Step-by-step explanation:
Given
\(\cos \beta =-\dfrac{\sqrt{2}}{10}\)
As the value of cosine is negative, therefore the angle must lie in II or III quadrant
\(\Rightarrow \beta =\cos^{-1}(-\dfrac{\sqrt{2}}{10})\\\Rightarrow \beta=\cos^{-1}(-0.14142)\\\Rightarrow \beta =98.13^{\circ}\ \text{or}\ 270^{\circ}-8.13\\\Rightarrow \beta=98.13^{\circ}\ \text{or}\ 261.87^{\circ}\)
Name the property used in: n + 0 = 7.
A) Multiplicative Inverse Property
B) Substitution Property
C) Additive Identity Property
D) Multiplicative Identity Property
Find the amount to which $800 will grow under each of these conditions: a. 8% compounded annually for 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ b. 8% compounded semiannually for 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ C. 8% compounded quarterly for 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. d. 8% compounded monthly for 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ e. 8% compounded daily for 9 years. Assume 365-days in a year. Do not round intermediate calculations. Round your answer to the nearest cent. $ f. Why does the observed pattern of FVs occur?
The amount to which $800 will grow under each of the given conditions increases as the compounding period decreases.
The amount to which $800 will grow under each of these conditions is as follows:a) 8% compounded annually for 9 years
When compounded annually for 9 years at 8%, the formula is: Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years
Compounded annually = n = 1 Amount = $1,447.91 (rounded to the nearest cent)
b) 8% compounded semiannually for 9 years Compounded semiannually for 9 years at 8%, the formula is:
Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years Compounded semiannually = n = 2 Amount = $1,471.16 (rounded to the nearest cent)
c) 8% compounded quarterly for 9 years Compounded quarterly for 9 years at 8%, the formula is:
Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years Compounded quarterly = n = 4 Amount = $1,491.03 (rounded to the nearest cent)
d) 8% compounded monthly for 9 years Compounded monthly for 9 years at 8%, the formula is: Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years Compounded monthly = n = 12 Amount = $1,505.91 (rounded to the nearest cent)
e) 8% compounded daily for 9 years Compounded daily for 9 years at 8%, the formula is:
Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years Compounded daily = n = 365Amount = $1,511.74 (rounded to the nearest cent)
The observed pattern of FVs (future values) occurs due to compounding. Compounding is the process of earning interest not only on the principal amount invested but also on the interest earned from the principal. This results in an increase in the interest earned and the future value of the investment. The more frequent the compounding, the higher the future value of the investment. Hence, the amount to which $800 will grow under each of the given conditions increases as the compounding period decreases.
To learn more about compound follow the given link
https://brainly.com/question/14782984
#SPJ11
Find the factors then solve the quadratic of x^2+9x+20
Step 1: Multiply a and c
a = 1
c = 20
a * c = 20
Step 2: Find factors of +20 that add up to +9
Factors of 20 = 1, 2, 4, 5, 10, 20
The two factors that add up to 9 are 4 and 5.
Step 3: Factor
(x + 4)(x + 5) = 0
Answer: (x + 4)(x + 5) = 0
Hope this helps!
determine the values of x in the equation x2 = 49. a. x = ±7 b. x = −7 c. x = ±24.5 d. x = 24.5
Answer:
a
Step-by-step explanation:
x² = 49 ( take square root of both sides )
\(\sqrt{x^2}\) = ± \(\sqrt{49}\)
x = ± 7
that is x = - 7 , x = 7
since 7 × 7 = 49 and - 7 × - 7 = 49
please HELPPP! I have been stuck on this for too long.
what is the y intercept of the points (2,72) and (5,162)
Answer:
12
Step-by-step explanation:
Type Into Calculator:
SAT-EDIT-TYPE IN X VALUES AND Y VALUES (FROM ORDERED PAIR)-STAT-CALC-4-ENTER
What does the magnitude of the correlation coefficient indicate about the variables?
The magnitude of the correlation coefficient indicate the "strength" about the variables.
What is correlation?In the financial and investing industries, correlation is a statistic which indicates the extent that two securities change in relation to one another.
Correlations are employed in advance portfolio management and are calculated as correlation coefficient, that must be between -1.0 and +1.0.
Some key features regrading correlation are-
Within finance, this correlation can be used to compare the movements of a stock to the movement of benchmark index, like the S&P 500.Correlation is inextricably linked to diversification, the idea that some types of risk can be minimized by investing in non-correlated assets.Correlation quantifies relationship but does not reveal whether x affects y or conversely whether the association is due to a third component.A scatterplot may be the best way to identify correlation, especially is if variables get a non-linear but nevertheless substantial connection.To know more about correlation, here
https://brainly.com/question/11811889
#SPJ4
3. Here is a balanced hanger diagram.
What is the weight of a square if a triangle weighs 4 grams?
Explain your reasoning.
Answer:bgvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvddddddddddddddddddddddddddd
Step-by-step explanation:
Answer:
Step-by-step explanation:
well it will be 16 because a square has 4 sides so you multiply by the grams that would be 4. 4*4= 16
25. A graph is shown.
Height Off Ground
Time
Which scenario could be modeled by the graph?
A. A ball is dropped and bounces on the ground before stopping.
B. A ball is thrown upward, comes back down, and bounces on the ground
before stopping.
C. Four balls are dropped on the ground.
D. Four balls are thrown upward and come back down.
The scenario modeled in the given graph is option A. A ball is dropped and bounces on the ground before stopping.
What is projectile motion?Any item launched into space with just gravity acting on it is referred to as a projectile. Gravity is the main force affecting a projectile. This doesn't imply that other forces don't affect it; it merely means that their impact is far smaller than that of gravity. A projectile's trajectory is its route after being fired. A projectile is something that is launched or hit, as a baseball.
When a ball is thrown from a certain height it bounces off the ground continuously until it comes to a stop. When the movement of such a ball is traced we obtain the above graph.
Hence, option A is correct.
Learn more about motion here:
https://brainly.com/question/26603017
#SPJ1
Find the interquartile range (IQR) of the data in the dot plot below.
players
Players at each table
in Bev's bingo hall
Answer: Put the numbers in order from least to greatest and find the median. 0,1,1,3,3,3,4,5,7. 3 is the median, so find quartile 1 and quartile 3.
Q1 is 1, and q3 is 5. To find the quartiles, find the median of the lower halves(leave the median we just found out of it.) You get 1 for the first half and 5 for the other.
The interquartile range (IQR), which is the difference of Q3 and Q1 is: 3.5
Recall:
Interquartile range (IQR) = Third Quartile - First QuartileTo find the interquartile range (IQR) of the data given in the dot plot, take the following steps:
Step 1: List all the data given in the dot plot (each dot represents a data plot)
The data points are: 0, 1, 1, 3, 3, 3, 4, 5, 7
Step 2: Find the First Quartile (the middle value of the first half of the data points).
0, (1, 1,) 3, 3, 3, 4, 5, 7
The average of 1 and 1 = the middle of the first half
First Quartile = 1 + 1 / 2 = 1Step 3: Find the Third Quartile (the middle value of the second half of the data points).
0, 1, 1, 3, 3, 3, (4, 5,) 7
The average of 1 and 1 = the middle of the second half
Third Quartile = 4 + 5 / 2 = 4.5Step 4: Find the Interquartile Range (IQR).
IQR = 4.5 - 1
IQR = 3.5
Therefore, the interquartile range (IQR), which is the difference of Q3 and Q1 is: 3.5
Learn more here:
https://brainly.com/question/23448873
A track team has 25 runners. There are 18 boys on the team. What percent of the track team are girls? *
Answer:
28%
Step-by-step explanation:
Given that,
The total no of runners = 25
No. of boys in the team = 18
We need to find the percent of the track team are girls.
Total no of girls = 25-18 = 7
Percent of girls :
\(g=\dfrac{\text{No. of girls}}{\text{Total runners}}\times 100\\\\=\dfrac{7}{25}\times 100\\\\=28\%\)
Hence, there are 28% of girls.
Select all of the expressions that are equal to 6 × 45.
A. 6 × (40 + 5)
B. 4 + 2 × 45
C. (6 × 40) + (6 × 5)
D. (6 + 40) × (6 + 5)
E. 6 × (20 + 25)
Answer:
A and C.
Step-by-step explanation:
Because 6x45=270. And if you look at the problem, 6x(40+5). Of course, you do the parentheses first. So 40+5= 45. Then 6x45. And once again, you get 270. Then for C, 6x40= 240. And, 6x5= 30. Then, add. 240+30= 270.
Find the volume of the square pyramid. Round your answer to the nearest hundredth.
A. 11.16 cubic yards
B. 54.25 cubic yards
C. 60.26 cubic yards
D. 96.12 cubic yards
Answer:
B
Step-by-step explanation:
solve the inequality
Answer:
D.
Step-by-step explanation:
x + 6 ≤ 8
subtract 6 on both sides.
x ≤ 2
Option D is the correct answer.
Convert 11.7 cm3 into ml
Answer:
11.7
Step-by-step explanation:
1 Cubic centimeter (cm3) is equal to 1 milliliter (mL). 1 Liter is equal to 1 cubic decimeter and there are 1000 cubic centimeters in a cubic decimeter, that makes 1 cubic centimeter equals to 1 milliliter.
plot the vector field. f(x, y) = x4, y4
This will produce a plot of the vector field for the function f(x,y) = x^4, y^4.
The vector field for f(x,y) = x^4, y^4 can be plotted by considering the gradient of the function, which gives us the direction and magnitude of the vector at each point (x,y).
The gradient of f(x,y) is given by:
grad(f) = (∂f/∂x)i + (∂f/∂y)j
= 4x^3 i + 4y^3 j
This tells us that at each point (x,y), the vector has a magnitude of sqrt((4x^3)^2 + (4y^3)^2) = 4sqrt(x^6 + y^6) and is pointing in the direction of (4x^3, 4y^3).
To plot the vector field, we can choose a set of points (x,y) on a grid and calculate the corresponding vectors. We can then draw an arrow at each point (x,y) with the length and direction given by the corresponding vector.
Alternatively, we can use software such as MATLAB or Python with a suitable library like matplotlib to plot the vector field. Here is an example code in Python:
import numpy as np
import matplotlib.pyplot as plt
# Define the vector field function
def f(x, y):
return np.array([x**4, y**4])
# Define the grid of points to plot
x = np.linspace(-1, 1, 20)
y = np.linspace(-1, 1, 20)
X, Y = np.meshgrid(x, y)
# Evaluate the vector field at each point
U, V = f(X, Y)
# Plot the vector field
plt.quiver(X, Y, U, V)
# Add labels and show the plot
plt.xlabel('x')
plt.ylabel('y')
plt.title('Vector Field for f(x,y) = x^4, y^4')
plt.show()
This will produce a plot of the vector field for the function f(x,y) = x^4, y^4.
Learn more about vector field here
https://brainly.com/question/31400700
#SPJ11
The base of a triangular pyramid is an equilateral triangle. Each side of the base measures 12 in. The area of the base is 62.4 in². The slant height of the pyramid is 6 in.
What is the surface area of the pyramid?
Enter your answer in the box.
The surface area of the pyramid is given by the equation A = 170.4 inches²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of the pyramid be represented as A
Now , the equation will be
The slant height of the pyramid h = 6 inches
The side of the equilateral triangle = 12 inches
So , the perimeter of the triangle = 3 x side length
Substituting the values in the equation , we get
The perimeter of the triangle = 36 inches
The area of the base = 62.4 inches²
So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Substituting the values in the equation , we get
Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )
On simplifying the equation , we get
Surface Area of Pyramid = 62.4 + ( 108 )
Surface Area of Pyramid = 170.4 inches²
Hence , the surface area of pyramid is 170.4 inches²
To learn more about surface area of pyramid click :
https://brainly.com/question/15050758
#SPJ1
HELP ASAP. pls ❤️ if u do this i’ll luv u 4ever
Answer:
A' ( 2,3)
B' ( 5,5)
C ( 7,3)
D'(5,2)
find the value of z such that 0.150.15 of the area lies to the left of z. round your answer to two decimal places
The approximate area to the left of z = 0.15 is 0.56
Finding the area to the left of z = 0.15From the question, we have the following parameters that can be used in our computation:
The left of z= 20.15
The area to the left of z is calculated by calculating the probability that the z-score is less than 0.15
In other words, this is represented as
Area = (z < 0.15)
This can then be calculated using a statistical calculator or a table of z-scores,
Using a statistical calculator, we have the area to be
Area = 0.55962
When this value is approximated, we have the approximated area to ve
Area = 0.56
Hence, the area is 0.56
Read mroe about z-scores at
brainly.com/question/25638875
#SPJ4
*^^NEED WITHIN 30 MINUTES ILL GIVE YOU BRAINLIEST****
This is solving special right triangles (45, 45, 90, and 30, 60, 90) and some sides have radicals ANSWER IN RADICAL FORM
Answer: just plug these into a calculator to find the simplified answers
I need help!! Variables
Answer:
the correct answer is 20 .
Step-by-step explanation:
x^2 - ( x + 4 ) - y = ?
6^2 - ( 6 + 4 ) - 6 = ?
36 - ( 10 ) - 6 = ?
26 - 6 = 20
Which improper fraction is equal to the decimal 2.8?
Answer: 14/5
Step-by-step explanation:
2.8 = 28/10
this can be simplified to 14/5
Answer:
14/5
Step-by-step explanation:
0.000456 in scientific notation (Please answer fast this is on my final math exam!)
Answer:
0.000456 in scientific notation
= 4.56 × 10-4
Step-by-step explanation:
Can I have brainliest?
0.000456 in scientific notation is 4.56 × 10-4
Which of the following is a geometric sequence?A. -5,0,10,25,45B. 1,2,4,8,16C.-3,1,5,9D. 4,8,24,96,480
Solution:
We are required to determine which is a geometric sequence.
Firstly, let us look at what a Geometric sequence is .
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
In summary, a Geometric sequence has a common ratio.
Let us take a look at the options one after the other
A. -5,0,10,25,45
\(\begin{gathered} \frac{0}{5}\text{ = 0} \\ \\ \frac{10}{0}=\infty \\ there\text{ is no common ratio here, hence it is not a Geometric sequence} \end{gathered}\)B. 1,2,4,8,16
\(\begin{gathered} \frac{2}{1}=2 \\ \\ \frac{4}{2}=2 \\ \\ \frac{8}{4}=2 \\ \\ \frac{16}{8}=2 \\ We\text{ can see that this sequence has a common ratio of 2, hence it is a geometric sequence} \end{gathered}\)C.-3,1,5,9
\(\begin{gathered} \frac{1}{-3}=-\frac{1}{3} \\ \\ \frac{5}{1}=5 \\ There\text{ is no common ratio here, hence it is not a geometric sequence} \end{gathered}\)D. 4,8,24,96,480
\(\begin{gathered} \frac{8}{4}=2 \\ \frac{24}{8}=3 \\ There\text{ is no common ratio here, hence it is not a geometric sequence} \end{gathered}\)Thus, the answer is B. 1,2,4,8,16
is y=1.25x proportional
id y= -5/6x proportional or not
Answer:
Not proportional to eachother...
Step-by-step explanation: