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const2013 [10]
3 years ago
7

The temperature in degrees Fahrenheit was recorded every two hours starting at midnight on the first day of summer. The data is

show in the table.
Hours
Temp. °F
0
62
2
60
4
57
6
58
8
61
10
64
12
70
14
75

Which type of graph would best display the change in the temperatures throughout the day?
bar graph
line graph
line plot
stem and leaf plot
Mathematics
1 answer:
OleMash [197]3 years ago
7 0

Answer:

Line plot

Step-by-step explanation:

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Find a particular solution to y′′+25y=−40sin(5t). y″+25y=−40sin⁡(5t).
daser333 [38]

Answer:

Step-by-step explanation:

Non homogeneous differential

y''+25y = -40sin(5t)---(1)

To find homogeneous solution consider auxilary equation:

D^{2}+25=0\\D=\pm5i

Homogeneous solution is:

y_{h}=Acos(5t)+Bsin(5t)\\

Particular soution for -40 sin(5t)

y_{p}= Csin(5t)+Dcos(5t)\\y'_{p}=5Ccos(5t)-5Dsin(5t)\\y''_{p}=-25Csin(5t)-25Dcos(5t)\\

substituting value of y_{p}, y''_{p}  in (1)

-25Csin(5t)-25Dcos(5t)+25Csin(5t)+25Dcos(5t)=-40sin(5t)\\\implies\\C=0\\D=0\\\implies \\y_{p}=0

General solution is

y=Acos(5t)+Bsin(5t)

4 0
3 years ago
The rule T1, -4 RO, 180°(x, y) is applied to rectangle KLMN. Which rectangle shows the final image??
fomenos
Let me help you!

Looking at the visual, we can see five figures: KLM, 1, 2, 3, and 4.
Applying t<span>he rule T1, -4 RO, 180°(x, y) to rectangle KLMN - without even solving - just by merely observing, we can say (without a doubt) that the rectangle KLMN will most likely fall in the negative axis.

First rotation: -4 to the left.
Second rotation: -4 to the left.
Last rotation: -4 to the left making the last figure 3. <----- What we are looking for!

Therefore, the rectangle which shows the final image is figure 3 or rectangle 3.</span>
7 0
4 years ago
Read 2 more answers
The radius of a cylindrical construction pipe is 3.5 ft. If the pipe is 39ft long, what is its volume?
fomenos

Answer:

1500 ft

Step-by-step explanation:

Volume of a cylinder is \pi*r^{2}*h

h is the height, r is the radius of a circular cross section.

Plugging this in: 3.14 * 3.5^{2}  * 39 = ~1500

3 0
3 years ago
What is 5(x+10)+x =​
zhuklara [117]

Answer:

6x+50

Step-by-step explanation:

5(x+10)+x=5x+50+x=6x+50

3 0
3 years ago
We can use the formula density mass over volume to find the density of a substance square metal plate has a density of 10.7 g of
sweet-ann [11.9K]

Answer: The volume of given substance is 2.2 cm^{3}.

Step-by-step explanation:

Given: Density = 10.7 g/cm^{3}

Mass = 23.54 g

Density of a substance is the mass of substance divided by its volume.

Mathematically, Density = \frac{mass}{volume}

Substitute the values into above formula to calculate volume as follows.

Density = \frac{mass}{volume}\\10.7 g/cm^{3} = \frac{23.54 g}{volume}\\volume = \frac{23.54 g}{10.7 g/cm^{3}}\\= 2.2 cm^{3}

Thus, we can conclude that the volume of given substance is 2.2 cm^{3}.

8 0
3 years ago
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