Answer:
Step-by-step explanation:
21=.5h(2+4)
21=.5h(6)
21=3h
/3 /3
7=h
21=.5(7)(6)
21=.5(42)
21=21
The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:
Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C. (4 points)
Part B: What are the initial value and slope of the graph, and what do they represent?
Step-by-step explanation:
Part ALet the triangles be ADC and BEC.
Point D has coordinates of (0, 154), point E has coordinates of (0, 110).
The triangles have dimensions as belowΔADC
⇒ base AD = 2, height DC = 154 - 66 = 88The slope of AC
⇒ m = DC/AD = 88/2 = 44ΔBEC
⇒ base BE = 1, height EC = 110 - 66 = 44The slope of BC
⇒ m = EC/BE = 44/1 = 44As we can see the slopes are equal
Part BThe y-intercept or initial value is represented by the point C and has coordinates of (0, 66)
The line is:
y = 44x + 66The initial value is the depth of 66 m where the shark is.
The slope is the 44 m increase of the depth every minute.
Find the equation of the parabola with points (-3,15), (0,-6), & (2,10)
Answer:
(d) y = 3x² +2x -6
Step-by-step explanation:
The equation of a parabola through thee points can be found different ways. One is to use a quadratic regression tool. Another is to write and solve linear equations in the coefficients. (3 equations in 3 unknowns).
__
Here, we can eliminate answer choices that don't work to arrive at the correct answer choice.
The point (0, -6) is the y-intercept of the function. That means the value of the constant term in the quadratic is -6. (Eliminates A and C.)
The y-values of the other two points are both greater than -6, indicating the parabola opens upward. That means the leading coefficient is positive. (Eliminates B.)
The only reasonable choice is D:
y = 3x² +2x -6
__
Additional comment
You get the same answer if you use a regression tool.
Answer:
[tex]y = 3\, x^{2} + 2\, x - 6[/tex].
Step-by-step explanation:
In general, the equation of a parabola is in the form [tex]y = a\, x^{2} + b\, x + c[/tex] for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], where [tex]a \ne 0[/tex].
Let [tex]y = a\, x^{2} + b\, x + c\![/tex] denote the equation of this parabola for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] where [tex]a \ne 0[/tex]. A point [tex](x_{0},\, y_{0})[/tex] is on this parabola if and only if the equation of this parabola holds after substituting in [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex]:
[tex]y_{0} = a\, {x_{0}}^{2} + b\, x_{0} + c[/tex].
Thus, each of the three distinct points on this parabola would give a equation about [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:
The equation for [tex](-3,\, 15)[/tex] would be [tex]15 = (-3)^{2}\, a + (-3)\, b + c[/tex].The equation for [tex](0,\, 6)[/tex] would be [tex]6 = 0^{2}\, a + 0\, b + c[/tex].The equation for [tex](2,\, 10)[/tex] would be [tex]10 = 2^{2}\, a + 2\, b + c[/tex].Simplify the equations:
[tex]\left\lbrace\begin{aligned}& 9\, a - 3\, b + c = 15 \\ & c = 6 \\ & 4\, a + 2\, b + c = 10\end{aligned}\right.[/tex].
Solve this linear system of three equations and three unknowns for [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:
[tex]\left\lbrace \begin{aligned} & a = 3 \\ & b = 2 \\ & c = (-6) \end{aligned}\right.[/tex].
Therefore, the equation of this parabola would be:
[tex]y = 3\, x^{2} + 2\, x - 6[/tex].
Phil will be moving into a new apartment. If he lives alone, his rent will cost $400 per month. If he has a roommate, the total rent will be 30 percent more, but he will pay only half of it. How much money will Phil save on rent per month by having a roommate?
Answer:
$140
Step-by-step explanation:
Rent alone = 400
Rent with roommate = (400 + 30%) / 2
= (400 + 120) / 2
= 520 / 2
Rent with roommate = 260
400 - 260 = 140
Draw a line from the US Customary measurement on top to its approximate metric equivalent or
the bottom
US customary: 2 inches
5 pounds
8 pints
Metric: 4 liters 50 grams
5cm
1 Liter 2 kg
Answer:
see table below
Step-by-step explanation:
The exact metric conversions for length, mass, and volume are ...
An inch is 2.54 cm.
A pound is 0.45359237 kg.
A pint is 0.473176473 liters.
The approximate conversions would be ...
2 inches ≈ 5 cm
5 pounds ≈ 2 kg
8 pints ≈ 4 liters
the sum of 0.5 and 2/3
Answer:
[tex]1\frac{1}{6} or 1.167[/tex]
Step-by-step explanation:
[tex]\frac{1}{2} + \frac{2}{3}[/tex] (convert 0.5 to a fraction: [tex]\frac{1}{2}[/tex]
[tex]= (\frac{3}{3} )\frac{1}{2}+ \frac{2}{3}(\frac{2}{2} )[/tex] (find common denominator)
[tex]=\frac{3}{6} +\frac{4}{6}[/tex] (add the numerators together)
[tex]=\frac{7}{6}[/tex] (if [tex]\frac{6}{6}[/tex] is equal to 1, but we have one extra it becomes...)
[tex]=1\frac{1}{6}[/tex] (convert to a decimal if needed)
[tex]= 1.167[/tex]
Hope this helps!! Please mark Brainliest!!
two regular polygons shown are similar the area of the smaller figure is about 390cm^2 choose the best estimate for the larger figure
Step-by-step explanation:
c.is correct your welcome
Find the constant rate of change for each linear function and interpret its meaning
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}[/tex]
the entry to record the purchase of materials using a job costing system would include a
A. credit to work-in-process inventory
B. debit to accounts payable
C. debit to raw materials inventory
D. debit to work-in-process inventory
Please i need your help
Answer:
Can you take a full picture
Step-by-step explanation:
Answer:
Choice A:
Final price:- $17.50
Saved amount :-7.50
Choice B:
Final price: $24.00
Saved amount: $8.00
Therefore the choice A is better deal.
can you help me with math homework?
thank you
100 + 10 + (10 - 5)²
Answer:
•100 + 10 + (10 - 5)²=135
Explanation:#Let's Study
#I Hope It's Help
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Question
100 + 10 + (10 - 5)²
Answer:
Step by step explanation:
=100 + 10 + (10 - 5)²
=100 + 10 +5²
=100 + 10 + 25
=110 + 25
=135
I hope this helps
write a polynomial that represents the area of the square
Answer:
y = x² + 8x + 16
Step-by-step explanation:
blue square = x × x = x²
green rectangle = 4 × x = 4x
yellow square = 4 × 4 = 16
Let y = total area of the square
⇒ y = blue square + green rectangle + green rectangle + yellow square
= x² + 4x + 4x + 16
= x² + 8x + 16
Area:-
side²(x+4)²x²+8x+16units²A rectangular room is 3 times as long as it is wide, and its perimeter is 40 meters. Find the dimension of the
room.
Answer: 5 meters
Why?:
Let the width of the room be denoted by 'W'
Since the room is three times as long as its width, the length will be '3W'
remember perimeter of a rectangle is = 2(length + width) and is given in the question as 40 meters.
Perimeter = 2 (length + width)
40 = 2 (3W + W)
40 = 2 (4W)
40 = 8W
(Dividing both sides by 8), gives
5 = W
Answer:
l = 15
w = 5
Step-by-step explanation:
l = 3w
40 = 2l + 2w
40 = 6w + 2w
40 = 8w
8w = 40
w = 40/8
w = 5
l = 15
Is there any outliers? Explanation needed, if yes. If no, then I don’t need one. Thank you!
Answer:
No there are not any outliers
HELP ME NEED QUICKLY
Answer:
2.02
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Two toy cars race around a circular track (both go in the same direction). One car can travel around the track in 30 seconds. The other car travels around the track in 50 seconds. If both cars start from the same place, how long will it take for them to meet at the same place if they continue to race?
Hence, it will take [tex]75seconds[/tex] to meet both the cars at the same place.
What is the time?
Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.
Here given that,
Two toy cars race around a circular track (both go in the same direction). One car can travel around the track in [tex]30[/tex] seconds. The other car travels around the track in [tex]50[/tex] seconds.
Case 1 :-
Track length every [tex]30[/tex] seconds. In [tex]x[/tex] seconds, travels [tex]\frac{x}{30}[/tex] of the track.
Case 2:-
Track length every [tex]50[/tex] seconds. In [tex]x[/tex] seconds, travels [tex]\frac{x}{50}[/tex] of the track.
Combining case 1 and case 2, we get
[tex]\frac{x}{30}=\frac{x}{50}+1\\\\\\frac{x}{30}-\frac{x}{50}=1\\\\\\frac{50x-30x}{1500}=1\\\\20x=1500\\\\x=\frac{1500}{20}\\\\x=75seconds[/tex]
Hence, it will take [tex]75seconds[/tex] to meet both the cars at the same place.
To know more about the time
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Brainliest if correct
Answer:
3/8 & 4/8
Step-by-step explanation:
1/2 - 1/8 = 4/8 - 1/8 = 3/8
x - 1/8 = 3/8
x = 4/8
i don’t know how to solve for this
SOH CAH TOA
Opposite is 7
Y is the hypotenuse - longest side
So, x is the adjacent
Find y first, we've got opposite & hypotenuse
=> SOH or Sin
Sin(30) = o/h
Sin(30) = 7/h
x h
h x sin(30) = 7
÷ Sin(30)
H = 14
Pythagoras' Theorem: a^2 + b^2 = c^2
(which I've already rearranged, to find value of x)
Square root of 14^2 - 7^2 = 7 root 3.
Thus, the missing lengths should be 14 and 7 root 3.
The answer is:
y = 14
x = 7 root 3
(root => a square root)
Hope this helps!
Deepak can type 2000 words in minutes. How many words Can he type in 37 minutes
Answer:
74,000 words he can type in 37 minutes
Write the equation of the transformed graph of tangent with period 4 that has
been shifted vertically up 3 units. (3 points)
Answer:
g(x) = 3 + tan(πx/4)
Step-by-step explanation:
A tangent function has a period of π. In order to make it have a period of 4, it needs to be stretched horizontally by a factor of 4/π. A function is stretched horizontally by a factor of k by replacing x with x/k.
In order for the function to be shifted vertically up by 3 units, 3 must be added to the function value. That is, the transformed function becomes ...
g(x) = tan(x/(4/π)) +3
g(x) = tan(πx/4) +3
You purchase a TV for $2,750.
The sales tax is 7.5%. What is the
total price including sales tax?
Sales tax: $206.25
■ Cost/Price before ST: $2,750.00
■ Total Cost/Price including ST: $2,956.25
A monument in a park is shaped like a square
pyramid. The dimensions are shown in the net.
3 m
What is the surface area of the monument,
including the base?
2 m
3 m
3 m
2 m
m²
SP......
3 m
Answer:
14 square meters
Step-by-step explanation:
the first part of this question can be to find the bases area
the base is 2 * 2 which is 4 square meters
then you find the area of the triangles
the length is 3 and the base is 2
then you multiply the amount of that by 1/2 and then by 4 because of the number of triangles there are
2 * 3 * 1/2 * 4 = 12
this is the area of the triangles added together
then you add 12 to 2 for the total
12 + 2 = 14 m^2
Prove triangle congruence by SSS and SAS
Answer:
Step-by-step explanation:
Add
3 2/7 + 7 5/14 as fractions
Answer:
Step-by-step explanation:
There are two methods of doing this
one is in the pin and another:
3 2/7 =23/7
7 5/14= 103/14
23/7 + 103/14 = Lcm 14
23/7 *2= 46/14
46/14 + 103/14 =149/14
149/14 = 10 9/14
A house is on an 80,000 square foot lot. About how many acres is the lot?
Answer:
There
Step-by-step explanation:
mark me brainliest!!
Answer:
1.836 acres
Step-by-step explanation:
During a period of 30 working days, Deborah was late 80% of the time. How many days was she late?
Graph y=-2x+5 please help fast
Answer:
y=−2x+5
Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is
y=mx+b , where m is the slope and b is the y-intercept.
y=mx+b
Find the values of
m and b
using the form
y=mx+b.
m=−2b=5
The slope of the line is the value of m , and the y-intercept is the value of
b.
Slope: −2
y-intercept:
(0,5)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Graph the line using the slope and the y-intercept, or the points.
Slope: −2
y-intercept: (0,5)
X|Y
0 5
1 3
Step-by-step explanation:
The required graph of the equation y = -2x +5 has been shown.
What is the graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
As the given equation y = -2x+5 represents a straight line,
in order to graph the line,
We must know, the two points on the line,
So,
Put x = 0 on the equation,
y = 5,
And put y = 0,
0 = -2x + 5
x = 2.5,
Now, locate the points (0, 5) and (2.5, 0) on the graph and draw the straight curve joining these two points will be the required graph of the equation,
Thus, the required graph of the equation y = -2x +5 has been shown.
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HELPPP PLS SHOW WORK
Answer:
61
Step-by-step explanation:
1. let the unknown be x
2. using theorem of Pythagoras that states the hypotenuse will be equal to the sum of the other two sides we can determine that 75=14+X
3. this implies that X=75-14
4. therefore X= 61
I need helpppppppppp
Answer: A local swiming
A. 31.2
B. 39.6
C. 62.5
D. 79.2
Answer:
a
Step-by-step explanation:
The final grade for a class is calculated by taking 75% of the
average test score and adding 25% of the score on the final exam. If all
scores are out of 100 and a student has a 76 test average, what score does
the student need on the final exam to have a final grade of at least 80?
Answer: I pretty sure the answer is 92!
Step-by-step explanation:
75% of the test score would be 76 x 0.75 = 57
80-57 = 23
They need 23 more points to get an 80
The 23 is 25% of the final exam grade so they would need to score a 23 x 4 = 92 on the final exam
answer: 92