Velocity is defined as speed in a specified direction. The formula for calculating speed is expressed as
Speed = distance/time
Since the direction is north, time = 20 minutes and distance = 1.6km
We can convert 20 minutes to hour(60 minutes = 1 hour). it becomes 20/60 = 1/3 hour
Speed = 1.6/(1/3) = 4.8 km/hr
The average velocity is 4.8km/hr northwards
As shown in the diagram below, AABC - A DEF, AB=14, BC=4, DE=7, and EF = X
D
14
B
4
С
E
X
F
What is the length of EF?
А
28
B
14
2
4
Answer:
EF=4
Step-by-step explanation:
vì diện tích bằng nhau và bằng 28 áp dụng công thức tính diện tích
On the map, the school and the sports park are 12 centimeters apart.
What is the actual distance between the school and the park? PLEASE HELP ILL MARK BRAINLIST.
Answer:
The school and the sports park are 15 km apart.
Step-by-step explanation:
4 cm = 5 km
1 cm = 5 / 4 km
12 cm = 15 km
Answer:
15 kmStep-by-step explanation:
On the map, the school and the sports park are 12 centimeters apart.
scale 4cm : 5km
find;
What is the actual distance between the school and the park?
solution:
12 cm = 4 cm
X km 5 km
cross multiply:
4 cm X km = 12 cm (5 km)
X = 12 cm (5 km)
4 cm
X = 15 km
therefore, the distance between the school and the sports park is 15 km
PLEASE HELPPP THANKS
Answer: The last option. X is greater than or equal to -3
Step-by-step explanation:
If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).
NEED HELP NOW DUE TODAY
Warren is building shelves for his 3-D printed model collection. He has a piece of wood that is 4.5 feet long. After cutting five equal pieces of wood from it, he has 0.7 feet of wood left over.
Part A: Write an equation that could be used to determine the length of each of the five pieces of wood he cut. (1 point)
Part B: Explain how you know the equation from Part A is correct. (1 point)
Part C: Solve the equation from Part A. Show every step of your work. (2 points)
Part A: The equation that could be used to determine the length of each of the five pieces of wood cut by Warren is: x + 0.7 = 4.5
Part B: The equation from Part A is correct because it takes into account the total length of the wood (4.5 feet), as well as the amount of wood that is left over (0.7 feet).
Part C: the length of each of the five pieces of wood cut by Warren is 3.8 feet.
What is equation?It is made up of two mathematical objects, with an equals sign (=) between them. Equations are used to represent relationships between unknown variables and can be solved to find their values.
Part A:
The equation that could be used to determine the length of each of the five pieces of wood cut by Warren is: x + 0.7 = 4.5, where x is the length of each piece of wood.
Part B:
The equation from Part A is correct because it takes into account the total length of the wood (4.5 feet), as well as the amount of wood that is left over (0.7 feet).
This equation can be used to calculate how much wood Warren has cut off from the original 4.5 feet of wood, which is the length of each of the five pieces of wood.
Part C:
Solving the equation from Part A:
x + 0.7 = 4.5
Subtract 0.7 from both sides:
x + 0.7 - 0.7 = 4.5 - 0.7
x = 3.8
Therefore, the length of each of the five pieces of wood cut by Warren is 3.8 feet.
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A line sgement has endpoints at (-3,2) amd (42,32). What is the x-coordinate of the point that is 2/3 the distance from (-3, 2) to (42, 32)
Answer:x = midpoint_x - (midpoint_x - (-3)) * (sqrt(5)/6) = 19.5 - (22.5 * sqrt(5))/6 = 19.5 - 3.75sqrt(5)
Step-by-step explanation:To find the x-coordinate of the point that is 2/3 of the distance from (-3, 2) to (42, 32), we first need to find the coordinates of that point.
The distance between the two endpoints of the line segment is:
d = sqrt((42 - (-3))^2 + (32 - 2)^2) = sqrt(45^2 + 30^2) = 15sqrt(45)
The distance from (-3, 2) to the desired point is:
(2/3)d = (2/3)sqrt(45^2 + 30^2)
Let's call the desired point (x, y). We can use the midpoint formula to find the coordinates of the midpoint of the line segment:
midpoint = ((-3 + 42)/2, (2 + 32)/2) = (19.5, 17)
The midpoint is halfway between the two endpoints, so the distance from (-3, 2) to the midpoint is:
sqrt((19.5 - (-3))^2 + (17 - 2)^2) = sqrt(22.5^2 + 15^2) = 15sqrt(5)
To find the coordinates of the desired point, we can use similar triangles. The ratio of the distance from (-3, 2) to the midpoint to the distance from (-3, 2) to the desired point is:
15sqrt(5) / (2/3)sqrt(45^2 + 30^2) = 15sqrt(5) / 30sqrt(45) = sqrt(5)/6
The ratio of the distance from (42, 32) to the midpoint to the distance from (42, 32) to the desired point is the same:
15sqrt(5) / (2/3)sqrt(45^2 + 30^2) = sqrt(5)/6
anyone understands this?
Answer:
\(144^{90}\)
Step-by-step explanation:
sqrt (144^180) = (144^180 )^1/2 = 144^90
A Humvee can travel 162 miles on 18 gallons of gas. How many miles can it travel on 5 gallons of
gas? State your answer clearly with a label.
Answer:
45 miles
Step-by-step explanation:
\(\frac{162}{18}=9\) mi/gal
Multiplying this by 5, we get 45 miles.
2) Which of the following is the lowest ratio?
07:13
O 17:25
7:15
15:23
Answer:
7:15 is the smallest ratio.
Step-by-step explanation:
hope this helps :)
2. Given a can of soda with a radius of 1 inch and a height of 6.2 inches,what is the volume? Use 3.14 for n.19.5 in³9.7 in³39 in³4.9 in³
We need to assume that the can of soda can be represented as a cylinder. Then we use the formula for a cylinder volume and that's it.
The volume of a cylinder is given by:
\(v=\pi r^2\times h\)Where r is the radius of the base and h the height of the can.
If we reply the measures in this equation we have:
\(v=\pi(1in)^2\times6.2in=19.468\text{ in}^3\)So we can conclude that the volume of the can of soda is 19.5 in³, thus the correct answer is A.
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
x=6.8
Step-by-step explanation:
x^2+21^2=25^2
x=√46=6.8
can i have brainliest
A scatterplot is used to display data where x is the amount of time, in minutes, one member can tolerate the heat in a sauna, and y is the temperature, in degrees Fahrenheit, of the sauna. Which interpretation describes a line of best fit of y = –1.5x + 173 for the data?
The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
The amount of time the member can tolerate the heat in a sauna is 173 minutes.
The time increased 1.5 minutes for every degree Fahrenheit the temperature increased.
The time decreased 1.5 minutes for every degree Fahrenheit the temperature decreased.
Answer:
The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
Step-by-step explanation:
By finding the y-intercept, you can conclude that the member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
Answer:
the answer is A.The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
Step-by-step explanation:
on edg 2020 :)
please help me!! thank you
9514 1404 393
Answer:
x = 1/6
Step-by-step explanation:
The relevant rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
__
The fraction inside parentheses evaluates to ...
3^(3/4 -3/8) = 3^(3/8)
Then the whole expression evaluates to ...
(3^(3/8))^(4/9) = 3^((3/8)(4/9)) = 3^(12/72) = 3^(1/6)
The value of x is 1/6.
25 POINTS PLS HELP SOME1!!
The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;
The transformation are a rotation and a translation
What is a translation transformation?A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.
The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units
The correct option is the second option; The transformation are a rotation and a translation
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The American Population is living longer. Along with the longevity of life comes additional challenges with both medical and Psychiatric problems. Your patient is about to be discharged from a short-tern rehab center. You overhear the daughter confiding in the nursing student that she cannot handle her mother and will be looking for a Memory care unit to put her mother in. You also hear the student nurse who was raised in a foreign country state, " I would NEVER put my mother in a home. I would take care of her woth my two sisters junti she dies.
what considerations might you make withthis students. Address the cultural differneces in elder care and adress the conself od "Role Strain" in caring for special populations.
Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.
What is the cultural Strain?Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.
Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.
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What is the solution to the following equation? 2(3x-7) +18= 10
A: 1
B: 3
C: 5
D: 6
Answer:
A:1
Step-by-step explanation:
Answer:
Step-by-step explanation:
First we open the parentheses:
2*3x-2*7+18=10
Now we multiply:
6x-14+18=10
6x+4=10
Now we move +4 to the other side so it will be -4
6x=10-4
6x=6
We divide both sides by 6
x=1
I don’t know how to do this problem help me!!
\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)
Therefore, it's \(2z^5-7z\).
10-10=69.420!!!!!!!!!!
q(x) = –2x+1
r.(x)=x²+2
Find the value of q (r (3)).
Give Given the purchase of a house ($243, 950). What are the monthly payments for the loan to be poed off in a 25 year perfad. and The interest rate as 7.4%.
What's the answer ?
The monthly payments for the loan to be paid off at the rate given would be = $1,504.4
How to calculate the monthly payments for the loan?The total cost of the house = $243, 950.
The time for the payment of the loan = 25 years.
The rate of the payment = 7.4%
The simple interest = principal×time×rate/100
Si = 243, 950.×25×7.4/100
si = 45130750/100
si = 451,307.50
The total number of months is 25 years = 300
The amount paid per month = 451,307.50/300 = $1,504.4
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Cliff takes out a $5,000 personal loan with 7
fixed annual interest compounded monthly to pay for his wedding. He repays the loan in 2 year.s
How much total interest does Cliff pay on his loan?
Cliff pays a total interest of approximately $679.90 on his $5,000 loan.
To calculate the total interest paid on the loan, we need to use the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the final amount (loan amount + interest)
P is the principal (loan amount)
r is the annual interest rate (in decimal form)
n is the number of times interest is compounded per year
t is the number of years
Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:
P = $5,000
r = 7% = 0.07
n = 12 (monthly compounding)
t = 2 years
\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)
Calculating this expression:
A ≈ 5000\((1.00583)^{(24)\)
A ≈ 5000(1.13598)
A ≈ 5679.90
The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):
Total Interest = A - P
Total Interest = 5679.90 - 5000
Total Interest ≈ $679.90
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Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. If they conduct rounds at the same time. After how many minutes they will rounds together again?
Answer:
\(Time = 11\frac{2}{3}\ min\)
Step-by-step explanation:
Given
\(Security\ A = 2\ mins, 20\ secs\)
\(Security\ B = 1\ mins, 40\ secs\)
Required
After how many minutes, will they round together
First, convert the given time to minutes
\(Security\ A = 2\ mins, 20\ secs\)
\(Security\ A = 2\ mins+ 20\ secs\)
\(Security\ A = 2\ mins+ \frac{20}{60}\ min\)
\(Security\ A = 2\ mins+ \frac{1}{3}\ min\)
\(Security\ A = 2\frac{1}{3}\ min\)
\(Security\ B = 1\ mins, 40\ secs\)
\(Security\ B = 1\ mins+ 40\ secs\)
\(Security\ B = 1\ mins+ \frac{40}{60}\ min\)
\(Security\ B = 1\frac{2}{3}\ min\)
So, we have:
\(Security\ A = 2\frac{1}{3}\ min\)
\(Security\ B = 1\frac{2}{3}\ min\)
List out the multiples of the time of both security personnel take round.
\(Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...\)
\(Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...\)
In the above lists, the common time is:
\(Time = 11\frac{2}{3}\ min\)
This implies that they go on round after \(11\frac{2}{3}\ min\)
25 feet equals how many inches
some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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Identify the amount, base, and percent in the problem:
What is 60% of 485?
Answer:
amount 291 I'm not sure abt the others
The surface area of a sphere is 900pi cubic cm. What is the length of its diameter.
The length of the diameter of the sphere is 30 cm.
The surface area of a sphere is given by the formula:
\(A = 4\pi r^2\)
where A is the surface area and r is the radius of the sphere.
We are given that the surface area of the sphere is 900π cubic cm. Therefore:
\(A = 4\pi r^2 = 900\pi\)
Dividing both sides by 4π, we get:
\(r^2 = 225\)
Taking the square root of both sides, we get:
r = 15
The diameter of the sphere is twice the radius, so:
d = 2r = 30
Therefore, the length of the diameter of the sphere is 30 cm.
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I’m getting brainlest
Answer:
Female
Step-by-step explanation:
...look at those numbers dude
Assume that the radius of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is 4/3 pi r^3 and its surface area is 4 pi r^2. Determine the rate at which the surface area is changing with respect to time when r=40 cm.
Look for dA/dt= ??? cm^2/min
Let radius of a sphere r and the surface area S.
dr/dt = 80 cm/min
And the surface area is
S = 4πr^2
Differentiate the equation as respect to t, then
dS/dt = 8πr × dr/dt
For r=40cm
dS/dt = 8π×40cm×80cm/min=2560π cm^2/min
I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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solve the system of two linear inequalities graphically.
y≤−5x−10
y>x+2
y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.
To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:
First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.
Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:
0 ≤ -5(0) - 10
0 ≤ -10
This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.
Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.
Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:
0 > 0 + 2
This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.
Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).
The shaded region is shown below:
Graph of y≤−5x−10 and y>x+2
The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.
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26. Which is NOT a zero of the following function?
f(x)= x + 3x? – X-3
A. 1
B. -1
C. 3
D. -3
Answer:
i think it is B i think im not too aure
A bird can fly 5 miles in 15 minutes how many miles can it fly in 60 minutes?
Please show the process
The number of miles the bird can fly for 60 minutes is 20 miles.
How to find rate and distance?A bird can fly 5 miles in 15 minutes.
Let's find the rate before we can find the number of miles the bird can fly in 60 minutes.
Therefore,
rate = distance / time
rate = 5 / 15 = 1 / 3 miles per minutes
Therefore,
1 / 3 = d / 60
cross multiply
60 = 3d
d = 60 / 3
d = 20 miles
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