A 10.0kg rock is dropped and hits the ground below at a speed of 60 m/s . Calculate the gravitational potential energy of the rock before it was dropped
Answer:
Solution:
Mass of body, m= 10kg
velocity, v= 60m/s
Now,kinetic energy on earth= potential energy at a that point [energy conservation]
so, kinetic energy= 1/2*m* v^2
= 1/2* 60(60)^2
= 30* 60*60
= 108000 joules
Write an equation for the line that passes through (0, -9) and (3, 0).
y = 3 x + 9
y = 3 x + 3
y = 3 x - 9
y = -9 x + 3
Answer:
y = 3x - 9
Step-by-step explanation:
1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,-9) and (3,0) into the formula and simplify:
[tex]m = \frac{(0)-(-9)}{(3)-(0)} \\m = \frac{0+9}{3} \\m = 3[/tex]
So, the slope is 3.
2) Look at all the options. All the equations are in slope-intercept form since they are in a [tex]y = mx + b[/tex] format. Remember that [tex]m[/tex], or the coefficient of the x-term, is the slope. [tex]b[/tex], or the y-intercept, represents the y-intercept.
Knowing this, the answer must be [tex]y = 3x-9[/tex]. The number in place of [tex]m[/tex] is 3, which is the slope we just calculated. Also, since we know that the line passes through (0, -9), that must be the y-intercept since all points on the y-axis have an x-value of 0.
I'm just doing this so I can see this on my phone (can't see images on computers)
Answer:
LOL
Step-by-step explanation:
└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘
Please help?! I'm confused I need help with all of them! and if you can please show your work!! For 50 points!
Answer:
1 x= 23°
2 x= 148°
3 x= 106°
4 x=17.3°
5 x=25°
6 x=30°
7 x=45°
8 x=48°
9 x=44°
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer: the answer is c
Step-by-step explanation:
Answer:
Angles STQ & RQT
Step-by-step explanation:
They are on opposite sides, but they are also interior.
Hope this helps! Have a good day!
What are the coordinates of the vertex of the graph of the function y=-x^2+ 6x -11?
A. (3.-2)
B. (3.16)
C. (-3, -29)
D. (-3, -20)
Answer:
Hi! The answer to your question is D. (-3, -20)
Step-by-step explanation:
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☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!!
- Brooklynn Deka
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Hint: the sample proportion ( p hat) is x/n. n=195, x= 162; 95% confidence
Answer:
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent
✓ 16)n = 182, x = 135; 95 percent sample proportion: p-hat = 135/182 = 0.74 E = 1.96*sqrt[0.74*0.26/182] = 0.0637 95% CI: 0.74-0.0637 < p < …
Can someone help me with this question plz.
Answer:
........................point A
Answer:
point C
Step-by-step explanation:
if you count from 0 with the difference of number 5 then it will be 0.75 in point C
DONT SCAM ME WITH A LINK
Answer: 2
600/3 = 200 meaning that each gallon of paint covers 200 sq ft
5. a) Which figure is the mapping diagram of the relation
shown?
b) is the relation a function
Please help
Answer:
b, since the others have the input and output on the wrong sides
About 9% of men have red-green color blindness. If three men are selected at random, what is the probability that two will be color blind and one will not be color blind?
Answer: The answer is 0.81 %
Step-by-step explanation:
Mia found the area of a polygon The area is 32 square cm.
Which of these polygons has an area of 32 square cm?
Answer:
Only the isosceles trapezoid has an area of 32 cm².
Step-by-step explanation:
Let's calculate the area of each polygon.
For the two triangles we have:
[tex] A_{t} = \frac{bh}{2} = \frac{2 cm*4 cm}{2} = 4 cm^{2} [/tex]
This polygon does not have an area of 32 cm².
For the rectangle we have:
[tex] A_{r} = bh = 6 cm*4 cm = 24 cm^{2} [/tex]
This polygon does not have an area of 32 cm².
For the rectangle trapezoid we have:
[tex] A_{rt} = A_{t} + A_{r} = (4 + 24) cm^{2} = 28 cm^{2} [/tex]
So, this polygon does not have an area of 32 cm².
Finally, for the isosceles trapezoid:
[tex] A_{it} = A_{t}*2 + A_{r} = (4*2 + 24) cm^{2} = 32 cm^{2} [/tex]
This polygon does have an area of 32 cm².
Therefore, only the isosceles trapezoid has an area of 32 cm².
I hope it helps you!
Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year
Given:
Principal = $14000
Rate of interest = 10% compounded semiannually.
Time = 11 years.
To find:
The accumulated value of the given investment.
Solution:
Formula for amount or accumulated value after compound interest is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.
Compounded semiannually means interest compounded 2 times in an years.
Putting [tex]P=14000,r=0.10,n=2,t=11[/tex] in the above formula, we get
[tex]A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}[/tex]
[tex]A=14000\left(1+0.05\right)^{22}[/tex]
[tex]A=14000\left(1.05\right)^{22}[/tex]
[tex]A\approx 40953.65[/tex]
Therefore, the accumulated value of the given investment is $40953.65.
Answer:
A = $41,867.06
A = P + I where
P (principal) = $14,000.00
I (interest) = $27,867.06
Step-by-step explanation:
Given: Investment = $14,000 Annual Rate: 10% compounded semiannually = 11 year
To find: The accumulated value of an investment
Formula: [tex]A = P(1 + \frac{r}{n}) ^n^t[/tex]
Solution: First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 14,000.00(1 + 0.1/12)(12)(11)
A = 14,000.00(1 + 0.008333333)(132)
A = $41,867.06
Henceforth:
The total amount accrued, principal plus interest, with compound interest on a principal of $14,000.00 at a rate of 10% per year compounded 12 times per year over 11 years is $41,867.06.
Last year, Lien earned $1,600 more than her husband. Together they earned $51,000. How much did each of them earn?
Answer:
Lien: $26300 Her husband: $24700
Step-by-step explanation:
x+(x+1600)=51000
2x+1600=51000
2x=49400
x=24700
Her husband earned 24700
24700+1600=26300
Lien earned 26300
Pls Help! Which of the following equations represents a line that is parallel to the line y = - x – 16.
A.) 10y + 20 = -5x
B.) -4x + 2y = 16
C.) y + 2x = 8
D.) 3y = 4x + 6
Please do not put a link or i will report you!
I have no idea what this question means but if anyone understands it or has an answer much help is apreciated! :)
Here, we have to factorise :
- 12n - 20Consider the largest number which is the factor of both -12 and -20, that is -4.
→ -4 × 3n = -12n
→ -4 × 5 = -20
Taking (-4) as common,
→ -4( 3n + 5 )
Option B is correct. [tex] \checkmark [/tex]Housing Price.The file calledsaratoga.JMPcontains data on 1728 houses in Saratoga, NewYork in the year 2006. The dataset includes many features of houses such as the selling price($), total living area (square feet), age (years), value of the land ($1000) the house was buildon, number of bedrooms and bathroom. We want to predict the selling price of a house ($)based on the total living area.(a) Identify the response variable (y): (Choose one.)i. total priceof all houses in the U.S.ii. average priceof houses in the U.S.iii. priceof a house in Saratoga, N.Y.
Answer:
iii. priceof a house in Saratoga, N.Y.
Step-by-step explanation:
In this question, we take a sample from house prices of 1728 houses in Saratoga, New York.
Since only houses from Saratoga are part of the sample, the response variable will be related only to Saratoga.
In this question:
Sample to find house prices in Saratoga, which is the variable of interest. The correct answer is given by option iii.
Justice earned $358.60 this pay period for working 22 hours. How much will he earn if he works 30 hours for the same hourly rate.
Answer:
489
Step-by-step explanation:
I took 358.60 divided by 22 to find how much they were making per hour which is 16.3 therefore if I took 16.3 times 30 I would get my answer which is 489.
Answer:
$489
Step-by-step explanation:
Justice earns $16.30 per hour (358.6 ÷ 22)
16.3 x 30 = 489
What do you think you do well in math? What do you think you could improve upon?
Answer:
i can improve my listening and focus a lot more
Step-by-step explanation:
look at pic 10 pts will mark brainilest
Answer:
its a right angle and the area of it is 24
Step-by-step explanation:
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Find the Compound Interest
Principal: 100
Interest Rate: 0.4%
Time: 1 year
Answer:
$100.4
Step-by-step explanation:
Compound Interest Formula:
A = P[tex]([/tex]1 + [tex]\frac{r}{100}[/tex][tex])^{t}[/tex]
=> A = 100 x ( 1 + [tex]\frac{0.4}{100}[/tex])^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)
4. A sphere with a diameter of 16 mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter.
How high is the cylinder?
O A. 8 mm
OB. 14 mm
O C. 16 mm
O D. 18 mm
Answer: The answer is A, 8 mm.
Step-by-step explanation:
Amanda runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
Answer:
5.6 miles
Step-by-step explanation:
[tex]\frac{7}{80} =\frac{x}{64}[/tex] Set up the proportion
[tex]7(64)=x(80)[/tex] Cross multiply
[tex]448=80x[/tex] Simplify
[tex]\frac{448}{80}=\frac{80x}{80}[/tex] Divide both sides by 80
[tex]5.6=x[/tex]
What Is The Perimeter ? If Necessary, Round To The Nearest Tenth
Answer:
4 yd
Step-by-step explanation:
The perimeter of a triangle is 9.12 yards.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
By using Pythagoras theorem, we get
c²=4²+1²
c²=17
c=√17
c=4.12 yd
Now, perimeter = 4+1+4.12
= 9.12 yd
Therefore, the perimeter of a triangle is 9.12 yards.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
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y divided by the product of 3 and x
Answer: y/3x
Step-by-step explanation: 3 times x is 3x, so y/3x
Given A(3, –7), under which reflection is A (3, 7)?
Answer:
reflection over the x-axis bc y changed
Step-by-step explanation:
$2,250.00 at 1 3/4% interest for 1 year
and what is$750 at 1/2% interest for 3 years?
Answer:
$2,289.38 and $761.25, respectively
I would appreciate Brainliest but no worries.
A snowstorm dropped three and two-fifths inches of snow. The next day one and four-fifths inches melted, how much snow was left?
Answer:
After the melting there were one and three fifths of snow left.
Step-by-step explanation:
Given that a snowstorm dropped three and two-fifths inches of snow, and the next day one and four-fifths inches melted, the following calculation must be performed to determine how much snow was left:
2/5 = 0.40
4/5 = 0.80
3.40 - 1.80 = X
1.60 = X
0.60 = 3/5
Thus, after the melting there were one and three fifths of snow left.
One number is equal to the square of another. Find the numbers if both are positive and their sum is 306.
Answer: 17 or -18
Step-by-step explanation:
x^2+x=306
x^2+x-306=0
(x-17)(x+18)=0
x-17=0
x=17
x+18=0
x=-18
..i think this is the right answer
Solve for x
A) 9
B) 11
C) 5
D)-4