-13
Answer:
since 5+8 is 13 and there's a '-' in the five than it's-13
70% of the 30 sandcastles at Donatello Beach have moats. how many more moats are there
Answer:
21 moats
Step-by-step explanation:
.70 x 30 = 21
Let v(t) = 1/π + sin(3t) represent the velocity of an object moving on a line. On the interval [π/2, π], what is the velocity when the acceleration is 3?
Answer:
[tex]\displaystyle \frac{1}{\pi}\approx0.318[/tex]
Step-by-step explanation:
The velocity of an object moving on a line is given by the function:
[tex]\displaystyle v(t)=\frac{1}{\pi}+\sin(3t),\; \frac{\pi}{2}\leq x\leq\pi[/tex]
And we want to determine the velocity of the object when its acceleration is 3.
So, we will need to determine our acceleration function. Remember that acceleration is simply the derivative of speed. Therefore, our acceleration function a(t) will be:
[tex]\displaystyle a(t)=v^\prime(t)=\frac{d}{dt}[\frac{1}{\pi}+\sin(3t)][/tex]
Differentiate. We will use the chain rule on the second part. Hence, our acceleration function is:
[tex]\displaystyle a(t)=3\cos(3t)[/tex]
We want to find the velocity when the acceleration is 3.
So, let’s set a(t) equal to 3 and determine at what time t our function equals 3. Hence:
[tex]3=3\cos(3t)[/tex]
Divide both sides by 3:
[tex]\cos(3t)=1[/tex]
Take the inverse cosine of both sides.
Remember that cosine is 1 for every 2π. Hence:
[tex]3t=2\pi n[/tex]
Where n is an integer.
Divide both sides by 3. Therefore, our solutions are:
[tex]\displaystyle t=\frac{2\pi n}{3}[/tex]
However, our domain was π/2≤x≤π.
Hence, we can test values of n such that it is within our domain.
Testing for n=0, 1, and 2, we see that:
[tex]\displaystyle t=0, \, t=\frac{2\pi}{3},\, t=\frac{4\pi}{3}...[/tex]
However, the only solution that is within our domain is the second solution.
Hence, the acceleration is 3 when the t is 2π/3.
Therefore, our velocity at that time t is:
[tex]\begin{aligned}\displaystyle v(\frac{2\pi}{3})&=\frac{1}{\pi}+\sin(3(\frac{2\pi}{3}))\\ &=\frac{1}{\pi}+\sin(2\pi)\\&=\frac{1}{\pi}+0\\&=\frac{1}{\pi}\approx 0.318\end{aligned}[/tex]
What is the base in the expression 4 superscript 5?
4
5
9
20
Answer:
Its 4.
Step-by-step explanation:
So the if its 4 superscript 5, the big number is 4 and its the base, the small number is the exponent.
hope it helps
Answer:
4/A
Step-by-step explanation:
The amount of money in Mark's bank account after x months is given by the function
f(x) = 1000 - 200x. Select all the true statements.
Pick up to 2 answers.
A. The account began with $1000.
B. The account began with $200.
C. Mark withdraws $1000 each month.
D. Mark withdraws $200 each month.
E. Mark deposits $200 each month.
How much warmer is 82 than -40?
Answer:
-42 degrees
Step-by-step explanation:
-40-82=-42
convert 15 °C to Fahrenheit, use the formula F = 9/5 C + 32
Answer:
59
9/5(15)+32 =59
Step-by-step explanation:
14.
Find the sum of the expression: 87.75 – 7.25 =
A. 80.50
B. 79.25
C. 80.25
D. 80.80
Answer:
A
Step-by-step explanation:
87.75-7.25=80.50
Answer:
A. 80.50
Step-by-step explanation:
The measurement of the complement of an angle is 40° more than the angle. What is the supplement for the angle?
Texas indoor football team lost 34.5% of their games last season. Which of the following shows fraction and a decimal equivalent to 35.5%
Answer:
The 2016 season schedule has been announced and Texas is sure to have a cross-town rival with the Mesquite Marshals who are one of three expansion teams entering the CIF this year. The Marshals get to visit the Allen Event Center twice where the Revolution haven’t lost since 2014. Meanwhile, Texas will reciprocate the 2-2 series with two visits to the historic Mesquite Rodeo Arena in 2016, but will have to visit familiar foes in the Wichita Force and the Dodge City Law to maintain their championship figure.
Step-by-step explanation:
The 2016 season schedule has been announced and Texas is sure to have a cross-town rival with the Mesquite Marshals who are one of three expansion teams entering the CIF this year. The Marshals get to visit the Allen Event Center twice where the Revolution haven’t lost since 2014. Meanwhile, Texas will reciprocate the 2-2 series with two visits to the historic Mesquite Rodeo Arena in 2016, but will have to visit familiar foes in the Wichita Force and the Dodge City Law to maintain their championship figure.
Please answer asap. thank you
A car drives 10 m/s. How long will it take the bus to drive 70 meters?
Answer:
7 Seconds
Step-by-step explanation:
Bruhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
It will take 7 seconds
Step-by-step explanation:
The answer is 7 because 10 multiplied by 7 is 70.
Is there anyone here who does Calvert or Odessy?
I was quite behind on my assignments, and, somehow, I go to catch up and they've been completed or something. It says I'm 100% on pace, and I know for a fact that I wasn't. What happened?
what happen is there is a glitch probably
yes this is what happened to me. if u get too far behind they will change the due dates to your "pace" and make it easier for you.
I need help, please
it is do tomorrow
Answer:
21 millimeters
Step-by-step explanation:
ummmm yes
9,000 ÷ 100 = blank÷ 1
I need help asappp!!!
Help me please *an image is attached*
Answer:
the height it is at is 95 meters
8x + 9 - 3x = 8 + 5x + 1
Answer:
(−∞,∞)
Step-by-step explanation:
Answer:
All real solutions
Step-by-step explanation:
combine like terms
5x + 9 = 5x + 9
they're the same so that means we can stop here. It means it has all real solutions.
GIVING BRAINLIEST PLEASE HELP!!!!!!!!!!!!!!!! Calculate the correlation coefficient of the following data: (1,1) (2,3) (3,6) (4,2) (7,9) (8,6) (10,7)
Answer:
The value of R is 0.7482.
Step-by-step explanation:
X Values
∑ = 35
Mean = 5
∑(X - Mx)2 = SSx = 68
Y Values
∑ = 34
Mean = 4.857
∑(Y - My)2 = SSy = 50.857
X and Y Combined
N = 7
∑(X - Mx)(Y - My) = 44
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 44 / √((68)(50.857)) = 0.7482
r = 0.7482
Sorry if I get this wrong Because not for sure how you need the awnsers I dont know if this is the right way
Mx: 5.000
My: 4.857
Sum: 68.000
Sum: 50.857
sum: 44.000
X Values
∑ = 35
Mean = 5
∑(X - Mx)2 = SSx = 68
Y Values
∑ = 34
Mean = 4.857
∑(Y - My)2 = SSy = 50.857
X and Y Combined
N = 7
∑(X - Mx)(Y - My) = 44
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 44 / √((68)(50.857)) = 0.7482
Meta Numerics (cross-check)
r = 0.7482
The perimeter of a square is 52 cm.
Calculate the area of the square.
Answer:
A = 169cm²
Step-by-step explanation:
Answer:
A=169cm²
Or
A=26.2in²
or
A=0.18ft²
Step-by-step explanation:
Simplify 8x + 9d + 3x -5d
Please Do Show Your Work Explanation
Answer:
The answer is =4d+11x
Step-by-step explanation:
8x + 9d + 3x -5d
=9d-5d+8x+3x
=4d+11x
Answer:
putting in arranged and sum the like terms
8x+3x+9d-5d
11x+4d
Joshua has a bag of marbles. In the bag are 5 white marbles, 3 blue marbles, and 7 green marbles. Peter randomly draws one marble, sets it aside, and then randomly draws another marble. What is the approximate probability of Peter drawing out two green marbles
Answer:
1 / 5
Step-by-step explanation:
Given that:
Number of white marbles = 5
Number of blue marbles = 3
Number of green marbles = 7
Required is the approximate probability of drawing 2 green marbles, Note that drawing is done without replacement :
Probability = required outcome / Total possible outcomes
Total possible outcomes = sum of all marbles = (5 + 3 + 7) = 15 marbles
First draw:
P(Green) = 7 / 15
Second draw:
Required outcome = 7 - 1 = 6
Possible outcomes = 15 - 1 = 14
P(green) = 6 / 14
Probability of drawing out two green marbles :
(7/15 * 6/14) = 42 / 210 = 1 / 5
CAN SOMEONE PLEASE HELP ME ASAP
A barrel of 20 apples has 2 rotten apples and 18 good apples. 7 apples are selected at random from the barrel. What is the expected number of good apples selected
Answer:
Expected value = 7 x 0.9 = 6.3
Step-by-step explanation:
Probability of getting a good apple is 18/20 = 0.9
Probability of getting a bad apple is 2/20 = 0.1
This follows a binomial distribution because either you get a good apple or a bad apple.
The expected value of a binomial distribution is given as n*p where n is number of trials and p is the probability of success.
In this case our number of trials is 7 and the probability of success is 0.9, since the trials are for getting good apples.
Hence
n = 7
p = 0.9
Expected value = 7 x 0.9 = 6.3
PLEASEEEEE HELP ME IF YOU GET THIS QUESTION!!
Answer:
one and a quarter mile
please can i have brainliest
Find the area of the trapezoid below.
4 cm
3 cm
8 cm
Answer:
4 + 8 / 2 * 3 = 18
4 + 8 = 12
12 / 2 = 6
6 * 3 = 18
Step-by-step explanation:
*Hope this helps*
In 2011, Japan experienced an intense earthquake with a magnitude of 9.1 on the Richter scale. In 2003, Japan experienced another intense earthquake that measured 8.3 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answer:
The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.
Step-by-step explanation:
To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.
Convert the magnitudes to intensities and write them in exponential form.
R=logI
2011 earthquake:
9.1I=logI=109.1
2003 earthquake:
8.3I=logI=108.3
Form a ratio of the intensities.
intensity for 2011intensity for 2003
Substitute in the values and divide by subtracting the exponents to find
109.1108.3100.8≈6.
The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.
Your answer:
The intensity of the 2011 earthquake was about 15 times the intensity of the 2003 earthquake.
The intensities of the two earthquakes will be 6.3095.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
In 2011, Japan encountered a serious quake with an extent of 9.1 on the Richter scale. In 2003, Japan encountered another extraordinary seismic tremor that deliberate 8.3 on the Richter scale.
The intensity of the earthquake is given as,
㏒ (I₁ / I₂) = M₁ - M₂
㏒ (I₁ / I₂) = 9.1 - 8.3
Simplify the equation, then we have
㏒ (I₁ / I₂) = 9.1 - 8.3
㏒ (I₁ / I₂) = 0.8
Take anti log, then we have
(I₁ / I₂) = 6.3095
The intensities of the two earthquakes will be 6.3095.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Hellllpppppppp please
Answer:
x= 3
x= -9
Step-by-step explanation:
hope it helps
(use math.way)
i am not quite sure but i believe it is c
Use the Distributive Property to write an equivalent expression. 20 + 24g A. 4 (5 + 6g) B. 20 (1 + 4g) C. 5 (4 + 6g)
Answer:
A.
Step-by-step explanation:
4(5+6g)
4*5+4*6g
20+24g
The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.
The given expression is 20+24g.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression can be simplified as follows:
20+24g
= 4(5+6g)
The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.
To learn more about an equivalent expression visit:
https://brainly.com/question/28170201.
#SPJ2
HELPPPPPPPPPP plssss
Answer:
Yes
Step-by-step explanation:
If you draw a vertical line through it, no x value has more than one y values.
-25+t/z greater these or =to 50
Answer:
=to 50
Step-by-step explanation:
Use numerals instead of words.
The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left.
If there were 75 cards in all, how many cards are left to be signed?
There are
cards yet to be signed.
Answer:
25 because is the steep between card
Answer:
32
I hope this helps