Answer:
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A rock is dropped down from the top of a 500-foot cliff. After 1 second, the rock is traveling 32 feet per second. After 5 seconds, the rock is traveling 160 feet per second.
a. Assume that the relationship between time, t, and speed, s, is linear, and write an equation describing this relationship. Use ordered pairs of the form (time, speed).
b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.
Answer:
A) s=32t
B) 224 ft/s
Step-by-step explanation:
A)
In the form (time, speed), the question gives us the following data: (1,32) and (5,160). Since we are told that the relationship between time, t, and speed, s, is linear, we know the equation will fit the formula y=mx+c, where m is slope c is the y-intercept and y and x are the co-ordinate values. Plug in (1,32) and (5,160) to find the formula:
y=mx+c
s=mt+c
32=1m+c
c=32-m
160=5m+C
160=5m+32-m
128=4m
m=32
c=32-m
=32-32=0
So our equation is s=32t
B)
s=32t
s=32(7)=224 ft/s
Complete the proof that △FGH isn't similar to △JIH
Answer:
step 2: (FH)/(JH)=5/6
step 3: (GH)/(IH)=(FH)/(JH)
Step-by-step explanation:
this is right
The △FGH isn't similar to △JIH.
What is a Triangle?A triangle is a polygon with three sides, angles and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse , acute and right angled triangle and scalene, isosceles and equilateral triangle.
Two triangles are said to be similar when the sides of both the triangle are in proportion.
Two triangles FGH and IJH are given and have to be proved that they are not similar
The step 1 is GH/IH = 10/10 = 1 ( By substituting given values)
The step 2 is GF/IJ = 8 /8 = 1 ( By substituting given values)
The step 3 is FH/HJ = 1
FH = HJ ( ( By substituting values from 1 and 2)
This is not true, FH = 5 and HJ = 6
As the corresponding sides of the triangles are not equal so they are not similar.
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Solve for y. 1) 5x + 4= - 4y
Answer:
y = -5x/4 - 1
Step-by-step explanation:
Please help!
Passes through (- 1, - 8) and perpendicular to x + 3y = - 6
What is the equation?
Answer:
y = 3x - 5
Step-by-step explanation:
1) First, place the given equation in slope-intercept form, represented by the formula [tex]y = mx +b[/tex], to find the slope. Whatever [tex]m[/tex] or the coefficient of x-term is will be the slope. Isolate y in the equation:
[tex]x + 3y = -6\\3y = -x -6\\y = -\frac{1}{3}x-2[/tex]
So, the slope of that line is [tex]-\frac{1}{3}[/tex]. Lines that are perpendicular have slopes that are opposite reciprocals, thus the slope of the new line will be 3.
2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the equation of the new line. Substitute real values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] in the equation.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{1}{3}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represents the x and y values of one point the line passes through, substitute the x and y values of (-1,-8) into the formula as well. Then, isolate the y in the resulting equation to put the equation in slope-intercept form and find an answer:
[tex]y-(-8) = 3 (x-(-1))\\y + 8 = 3(x+1)\\y + 8=3x + 3\\y = 3x -5[/tex]
Which of the following equations shows how to correctly calculate the volume, V, in cubic centimeters, of the prism below?
A.V = (9)(12) × 18
B.V = × 9
C.V = × 12
D.V = × 18
Answer:
A
Step-by-step explanation:
what is
Evaluate the expression 120n+160,500 when n=32
Answer:
164,340
Step-by-step explanation:
Plug in 32 as n into the expression
120n + 160,500
120(32) + 160,500
3,840 + 160,500
= 164,340
So, the expression is equivalent to 164,340
you don't have to do all of them
Answer: lol your using canvas
1. 63
2. D
3. B
4. A
Sorry for the bland explinations havin a bad day.
Step-by-step explanation:
1. The way we solve this is by adding the degrees 72 and 45. then we subtract it by 180. this is because in all triangles the angles always add up to 180 degrees.
2. Like question one what set of angles measures to 180 degrees.
3. The sides of a triangle should define the angle measurements. you can also see if its a triangle if the numbers are continues like 3,4,5 or in this case 4,5,6
4. like in questions 1 and 2 the angles of a triangle has to equal 180 degrees so 60 times 3 is 180 so each angle would have to be 60 degrees.
3x + 2 - x + 2 = x + 8
3x+2-x+2=x+8
3x-x=2x
2+2=4
4x+4=x+8
-4 -4
4x=x+4
-x -x
3x=4
/3 /3
x=4/3 or 1 1/3 or 1.3333
---
hope it helps
Answer:
x = 4
Step-by-step explanation:
3x+2−x+2=x+8
Add the numbers
3 + 2 − + 2 = + 8 3 + 4 − = + 8 2
Combine like terms
3 + 4 − = + 8 2 + 4 = + 8 3
Subtract 4 from both sides of the equation
Simplify
Subtract the numbers
2x+4−4=x+8−4
2 = + 8 − 4
Subtract the numbers
2 = + 4 5
Subtract x from both sides of the equation
2 = + 4 2 − = + 4 − 6
Simplify
Combine like terms
Multiply by 1
Combine like terms
= 4
Solution
= 4
which of the following are trigonometric identities?
Bob, a lawyer, used to charge his clients $220 per hour Recently, he reconsidered his rates and ultimately decided to charge 30% more. Now how much does Bob charge per hour?
Answer:
The Poisson probability distribution gives the probability of a number of events occurring in a fixed interval of time or space if these events happen with a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on the average, there are five words spelled incorrectly in 100 pages. The interval is the 100 pages.
Answer:
$286 per hour
Step-by-step explanation:
first we have to find out what 30% of $220 is
we do this by multiplying $220 by 0.3
We get $66
then we add the markup value to the initial value
$66 + $220= $286
bob's a scu.mbag
hope this helps chu babe <3
Marissa went on a trip and drove her car throughout the day. The graph below shows Marissa's distance from the starting point of her trip for different segments of time
What’s the answer to this please?
A. The rate of the first segment is increasing, second segment is constant, and third segment is decreasing.
B. Marissa's distance from the starting point at the end of her trip is 40 miles.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The graph below shows Marissa's distance from the starting point of her trip for different segments of time.
A. The rate of the first segment at the interval (0,3) is increasing, the rate of the second segment at the interval (3,7) is constant, and the rate of the third segment at the interval (7,10) is decreasing.
B. Marissa's distance from the starting point at the end of her trip is 40 miles.
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The question seems incomplete, the missing part has been below:
A. Describe each of the three segments of the graph in terms of the rate of change in Marissa's distance from the starting point throughout her tip.
B. What is Marissa's distance from the starting point at the end of her trip?
need help with surface area
Find the equation of the line
perpendicular to 3x + 5y = 15 with an
x-intercept 6.
What is the equation of the following line? Be sure to scroll down first to see
all answer options,
(0,0) (7,2)
lin's family needs to travel 325 miles to reach her grandmother's house. how far have they traveled when they have completed 72% of the trip's distance?
Answer:
Step-by-step explanation: Lin's family completed 8% of the trips distance.
Answer:
234 miles
Step-by-step explanation:
72% of 325=234
The dot plots show the heights of the players on two basketball teams.
Team A
72 73 74 75 76 77 78 79 80 81 82 83 84
Height (inches)
Team B
72 73 74 75 76 77 78 79 80 81 82 83 84
Height (inches)
Which statement is best supported by these data?
А
The distributions of the data for Team A and Team B are approximately symmetrical.
B
The median height of the players on Team B is less than the median height of the players on Team A.
С
Team B has a greater range in player heights than Team A has.
D
The mode height of the players on Team B is less than the mode height of the players on Team A.
SI
After answering the presented question, we can conclude that As a graphs result, the best-supported statement by the evidence is A: The data distributions for Team A and Team B are roughly symmetrical.
What is graphs?Mathematicians use graphs to visually display or chart facts or values in order to express them coherently. A graph point usually represents a relationship between two or more things. A graph, a non-linear data structure, is made up of nodes (or vertices) and edges. Glue the nodes, also known as vertices, together. This graph includes V=1, 2, 3, 5, and E=1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Statistical graphs (bar graphs, pie graphs, line graphs, and so on) are graphical representations of exponential growth. a logarithmic graph shaped like a triangle.
Based on the dot plots, it is clear that both teams have the same set of heights, ranging from 72 to 84 inches. As a result, choices B and C are inappropriate since they entail a comparison of the data from the two teams.
Option A cannot be totally confirmed based on the information provided because dot plots do not provide information on the distribution's shape.
Option D is inappropriate because both teams have the same heights and thus the same mode. As a result, the best-supported statement by the evidence is A: The data distributions for Team A and Team B are roughly symmetrical.
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62. Height Kirsten places her surveyor's telescope on the top of
a tripod 5 ft above the ground. She measures an 8° elevation
above the horiz&ntal to the top of a tree that is 120 ft away.
How tall is the tree?
8°
K
120 ft
15 ft
Answer:
21 feet
Step-by-step explanation:
Given :
Height of the tripod above the ground = 5 ft
Elevation = 8°
Distance of the tree from the tripod = 120 ft
Therefore from the figure, we can find the height of the tress as:
[tex]$\tan 8 ^\circ = \frac{BC}{AB}$[/tex]
[tex]$0.1405 = \frac{BC}{120}$[/tex]
∴ BC ≈ 16
Therefore, CE = BC+BE
= 16 + 5
= 21
Therefore the height of the tree is 21 feet.
The tree is 21.87 ft tall.
Kirsten's distance from the tree, D, the height of the tripod above the ground h and the line of sight of the top of the tree from the tripod form a right-angled triangle with hypotenuse side, Kirsten's line of sight, opposite side, height of the tripod above the ground and adjacent side, Kirsten's distance from the tree.
Since the angle of elevation above the horizontal of the top of the tree is 8°, we have that
tan8° = h/D
h = Dtan8°
Since D = 120 ft,
h = Dtan8°
h = 120tan8°
h = 120 × 0.1405
h = 16.87 ft
Since the tripod is 5 ft above the ground and the top of the tree is h = 16.87 ft above the top of the tripod, the height of the tree H = 5 + h
= 5 ft + 16.87 ft
= 21.87 ft
So, the tree is 21.87 ft tall.
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Divide 20x^4 by 10x^2
Answer:
The answer for this equation is 2x⁶.
Step-by-step explanation:
In order to solve the equation, you have to Take out the Constants.
[tex] \frac{20}{10} {x}^{4} {x}^{2} [/tex]
Now you have to Simplify 20/10 to 2 because 10 divided by 20 is 2.
[tex] {2x}^{4} {x}^{2} [/tex]
And now you have to Use the product rule:
[tex] {x}^{a} {x}^{b} = {x}^{a + b} [/tex]
[tex]2x ^{4 + 2} [/tex]
and lastly, you have to simplify 4 + 2 to 6.
[tex] {2x}^{6} [/tex]
Therefor, the answer for this equation is 2x⁶.
Answer:
i have questine
Step-by-step explanation:
PLLLZZZ HHHEEELLPPP!!!!!!!!!!!!!!!
Question is below! :D
Answer:
Add all the angles to gether then subtract that from 180 next take 43,51, and the unknown angle add it togther and there is your answer.
Step-by-step explanation:
15 POINTS 15 POINTS !5 POINTS
Answer:
I AM SO SORRY but I need that point soo plsss Im sooo sorry
Answer:
The answer is (x+2)²+(y-3)²=29.
Hope it helps uh
Find the area of the shape.
Answer:
[tex] area \: of \: trapezium = \: \frac{1}{2} (a + b) \times h[/tex]
Therefore, 1/2 (9 +17)*8
Therefore, 1/2(26)*8
Therefore, 13*8
Therefore, 104
Your answer is 104ft²
1.02 sinusoidal graphs
Answer:
The answer is 20
Step-by-step explanation:
The wave starts at the origin and doesn't complete the cycle until unit 20.
Answer:
[tex]\displaystyle 20[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = cos\:(\frac{\pi}{10}x - \frac{\pi}{2})} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{5} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{10}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{20} \hookrightarrow \frac{2}{\frac{\pi}{10}}\pi \\ Amplitude \hookrightarrow 1[/tex]
OR
[tex]\displaystyle \boxed{y = sin\:\frac{\pi}{10}x} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{20} \hookrightarrow \frac{2}{\frac{\pi}{10}}\pi \\ Amplitude \hookrightarrow 1[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = cos\:\frac{\pi}{10}x,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 5\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 5\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{5} = \frac{\frac{\pi}{2}}{\frac{\pi}{10}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = cos\:(\frac{\pi}{10}x - \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-15, 1],[/tex]from there to [tex]\displaystyle [5, 1],[/tex]they are obviously [tex]\displaystyle 20\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 20.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
WILL GIVE BRAINLIEST
Answer:
A
Step-by-step explanation:
JK is longer than JL and isn't 9 units long
A baker recorded the number of batches of
cookies he made on each of seven days. He
baked a different number of batches of cookies
each day. This box-and-whisker plot
summarizes his data.
Number of Cookies
+
9 10 11 12 13 14 15
1 2
3
4
5
6
7
8
The baker baked 20 batches of cookies on the
eighth day. He redraws the box-and-whisker plot
to include his data. Which statement comparing
the new box-and-whisker plot to the original box-
and-whisker plot is NOT true?
A. The median increased.
B. The lower extreme increased.
C. The upper extreme increased.
D. The value of the interquartile range
increased
Answer:
B. The lower extreme increased.
Step-by-step explanation:
From the original box and whisker plot, the lower extreme (minimum) is 5 ; The upper extreme, maximum is 15.
The number of batches baked on the eight day is 20. This exceeds tbe previous maximum value. Hence, upper extreme( maximum) value of the new plot will change from 15 to 20.
The lower extreme isn't affected as the obtained value isn't below 5.
The median value will Increase and the upper quartile value will also increase. Once the upper quartile value increases, the interquartile range will also increase
Someone help it's due today!!
Answer:
can you like zoom the question because i cannot find it.
PLEASE HELP IVE BEEN STUCK ON THIS ONE FOR QUITE A WHILE.
Rodrigo buys a jacket that is on sale for 1/4 off the original price of 80$.he has a coupon for an additional 10% off.how much does Rodrigo pay for the jacket
Answer:
Price after off =80- 1/4 * 80 = 80-20 = $60
Coupon discount = 60*10/100 = $6
So, he have to pay, 60-6 = $54
Identify the type of triangle by looking at the sum of the angle
measures.
145 + 20 + 15 = 180°
Answer:
Scalene triangle because it's all sides are unequal
Answer:
Scalene triangle
Step-by-step explanation:
2(a-3)
Expand please
Answer:
2a-6
Step-by-step explanation:
2(a-3)
2*a-(2*3)
2a-6
Imagine you are starting an office supply business. Your overall costs for supplies are $100. You plan on selling binders for $4 each and pencils for $2 each. Let x represent the number of binders sold and y represent the number of pencils sold.
Complete question :
Imagine you are starting an office supply business. Your overall costs for supplies are $100. You plan on selling binders for $4 each and pencils for $2 each. Let x represent the number of binders sold and y represent the number of pencils sold. Give an expression for the profit made.
Answer:
(2y + 4x) - $100
Step-by-step explanation:
Given that:
Cost of supply = $100
Supplies :
binders, sales price = $4
Pencils, sales price = $2
Number of binders sold = x
Number of pencils sold = y
The revenue from sale :
(Cost of pencils * number of pencils) + (cost of binders * number of binders)
Revenue = 2y + 4x
Profit, p = Revenue - Cost of supply
p = (2y + 4x) - $100