Answer:
36
Step-by-step explanation:
triangular numbers are
1, 3, 6, 10, 15, 21, 28, 36, .....
square numbers are
1, 4, 9, 16, 25, 36, ..........
the smallest number that is triangular and square is 36
MATH
NATION
Question 1 of 10
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Suppose h(t) = -0.2t2 + 2t models the height, in feet, of a ball that is kicked into the air where t is
given as time, in seconds.
After how many seconds does the ball reach its maximum?
Step-by-step explanation:
the point of extreme value we get a the zero dilution of the first derivative of the function.
h(t) = -0.2t² + 2t
h'(t) = -0.4t + 2
so,
-0.4t + 2 = 0
2 = 0.4t
t = 2/0.4 = 5 seconds
so, after 5 seconds the ball reaches its maximum height.
FYI : that height is then h(5).
-0.2×5² + 2×5 = -5 + 10 = 5 ft
so, all in all, a very weak kick in very low gravity ...
The depth in feet, D. of a scuba diver can be modeled by the function D(x) = -x + 12x + 4. where x is the number of seconds spent diving.
What is the number of seconds spent diving when the scuba diver reaches their maximum depth?
Respond in the space provided
Considering the vertex of the quadratic equation, it is found that the scuba diver reaches maximum depth after 6 seconds.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the depth is given by:
D(x) = -x² + 12x + 4.
Which means that the coefficients are a = -1, b = 12, c = 4, hence:
[tex]x_v = -\frac{b}{2a} = -\frac{12}{-2} = 6[/tex]
The scuba diver reaches maximum depth after 6 seconds.
More can be learned about the vertex of a quadratic equation https://brainly.com/question/24737967
HELP WILL MARK BRAINIEST!!!
For each of the following two quantities in Problems 1-4, which has the greater
magnitude?
2.-14 feet and 23 feet
Answer:
23 feet
Step-by-step explanation:
The absolute value of -14 is fourteen.
The absolute value of 23 is twenty-three
23>14
What transformation did Tory perform?
Answer:
She translated each vertex of Figure 1 seven units to the right.
Step-by-step explanation:
Help me please. Don't mind that I answered it, I put whatever so that I can move on to the next page. Show how you did the work!
Answer:
true false false
Step-by-step explanation:
3,4,5 is a common triangle (proof sqrt(3^2+4^2) = 5)
5,6,7 cant exist sqrt(5^2+6^2) doesnt equal 7
5,5,10 cant exist sqrt(5^2+5^2) doesnt equal 10
Ron started the day with a score of +12.
He lost 4 points, gained 3 points, and then
lost 15 points. What was his score then?
+ 12 - 4 + 3 - 15
= 12 + 3 - 4 - 15
= 15 - 19
= - 4
Answer:
He has -4 points. if I'm not mistaken
Step-by-step explanation:
12 - 4 + 3 - 15 = -4
I apologize if I am incorrect
Find the exact volume of the radius is 7 inches and the height is 18 inches.
Answer: 882pi square inches
Step-by-step explanation:
A watch company is developing packaging for its new watch. the designer uses hexagons with a base area of 25 in2 and rectangles with a length of 10 in to create a prototype for the new package. what is the volume of the prototype? 150 in3 200 in3 250 in3 300 in3
Answer:
The answer should be C. 250 in^3
Answer:
C. 250 in^3
Step-by-step explanation:
What is the result when the number 39 is decreased by 3%?
result = 39 - 39 x 3% = 39 x 0,97 = 37,83
A person places $81200 in an investment account earning an annual rate of 3. 6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 13 years
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$81200\\ r=rate\to 3.6\%\to \frac{3.6}{100}\dotfill &0.036\\ t=years\dotfill &13 \end{cases} \\\\\\ A=81200e^{0.036\cdot 13}\implies A=81200e^{0.468}\implies A\approx 129659.95[/tex]
helppppppppp please
thanks
Answer:
Here is the answer
Step-by-step explanation:
4^4/(6^6)
A cylindrical water tank has a diameter of 9 feet and a height of 16 feet. Each can of paint covers 50 square feet. What is the minimum number of cans of paint needed to cover the outside of the tank
Answer:
12 cans
Step-by-step explanation:
The area of the outside of the tank:
radio = half diameter = 4.5 ft.
base: [tex]A_{b} =\pi r^{2} =\pi (4.5)^{2} =20.25\pi[/tex]
Top: = base [tex]=20.25\pi[/tex]
cylinder: [tex]2\pi rh=2\pi (4.5)(16)=144\pi[/tex]
Total area to paint: [tex]144\pi +2(20.25\pi) =184.5\pi =579.6sq.ft.[/tex]
Number of cans of paint:
[tex]c=\frac{579.6}{50} =11.59=12[/tex]
Hope this helps
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer: x = 54°
Step-by-step explanation:
The sum of these three inter angles is equal to 180°.
36° + 90° + x° = 180
126 + x = 180
x = 54°
Step-by-step explanation:
36° +90°+ x = 180° ( sum of all angle of triangle is 180°)
126° + x = 180°
x = 180° - 126°
x = 54°
4. 10% of 210 is?
0.21
2100
2.10
21
PLEASE HELP!! 15 points asap!
Answer:
10% of 210 is 21
Step-by-step explanation:
The 1 in 10% is much help. Move the decimal point one place to the right.
I know this is not much, but I hope this helps :)
Which choices are in the solution set of the equation below? Check all that
apply.
4x = 30
A. 8
B. 7.5
C. 8.5
D. 7
E.6.5
In which quadrant does θ lie given that sinθ < 0 and cosθ < 0? Thank You!
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
Quadrant III yw :3
Step-by-step explanation:
Find the sum of each of the following series:
(a) 2 + 7 + 12 + ...... +92
where u(n) is the nth term (any term).
u⁰ is out first term (2)
d is the common difference (5)
u(n)=u⁰+nd92 =2 +5n5n =90n =18This sequence admits 19 terms since we start counting from 0 till 18.SummationS= number of terms/2 ×(u¹⁸+u⁰)[tex]s = \frac{19}{2} \times (92 + 2)[/tex][tex]s = 9.5(94)[/tex]
[tex]s = 893[/tex]
That's ur answer :)Josiaanswer this is it josia the question
Answer:
6? i am soooo confused
Step-by-step explanation:
10 Cecelia took 40 minutes to complete a journey. She travelled half the distance at a speed of 100 km/h and the other half at 60 km/h. How far was her journey?
40 min = 40/60 hr = 2/3 hr
Distance = x km
t=distance/speed
x/200+x/120=2/3
multiply by 6oo
3x+5x=400
8x=400
x = 400/8=50km
The journey is for 50km
pls giive brainliest\
Carlos has a 12300 millimeters long piece of wook. he wants to cut it into 3 equal lengths. how long will each piece be in meters?
Answer:
4.1 meters each
1000 milileters go into 1 meter
Step-by-step explanation:
Answer:
Step-by-step explanation:
12300/3= 4100 1 meter = 1000 millimeters
4100/1000=4.1 meters
If the probability of a basketball player making a shot is 5/12, what is the probability of him not making a shot
Answer:
5 percent of 12 is 0.6
Step-by-step explanation:
Answer:
7/12
Step-by-step explanation:
total = 12/12
p(shot) = 5/12
p(not making shot) = 7/12
because
12/12 - 5/12 = 7/12
Hope this helped!
What is 3(b+8) in Distributive Property
Answer:
3b + 24
Step-by-step explanation:
3*b=3b
3*8=24
therefore the answer is 3b+24
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
4. What is the proper way of naming the line at the right? A. ab B. ba C. AB D. AB
Answer:
C is the answers for the question
Step-by-step explanation:
please mark me as brainlest
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 1 yard long, and the height of the equilateral triangle is 0.9 yards. The pyramid's slant height is 1 yard. What is its surface area?
Answer:
base: 1/4 * 12^2 * √3 = 36√3
each face: 1/2 * 12 * 8 = 48
Now finish it off
Step-by-step explanations:
Camden invested $1400 in an account that pays 4.5% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Camden would have in the account 12 years after his initial investment. Round to the nearest tenth ( if necessary)
The amount of money Camden would have in his account after 12 years is equal to $2,374.3.
How to calculate compound interest.To calculate how much money Camden would have in his account after 12 years, we would use the formula for compound interest.
Mathematically, compound interest is given by this formula:
[tex]A=P(1+r)^t[/tex]
Where:
A is the balance.P is the principal or starting amount.R is the interest rate.T is the time measured in years.Given the following data:
Principal = $1400.
Interest rate = 4.5% = 0.045.
Time = 12 year.
Substituting the given parameters into the formula, we have;
[tex]A=1400(1+0.045)^{12}\\\\A=1400(1.6959)[/tex]
A = $2,374.3.
Read more on interest here: brainly.com/question/24341207
The question is below:
QUESTION -> {WHICH EQUATION DESCRIBES A LINEAR FUNCTION }.
?ANSWER :
B .
y =(1 — 6 ) ×
or.
C .
y = (2) ×
HOPE IT HELPS .
THANK ME LATER THANKS.
2. The center of a circle is at (4,-5). The radius of the circle is 10 units. Write the equation of the
circle.
Answer:
Step-by-step explanation:
64, –48, 36, –27, ... which formula can be used to describe the sequence? f(x 1) = three-fourthsf(x) f(x 1) = negative three-fourthsf(x) f(x) = three-fourthsf(x 1) f(x) = negative three-fourthsf(x 1)
The formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).
What is geometric sequence?Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
The relation formula can be used to describe such sequence are,
[tex]f(x+1)=r\times f(x)[/tex]
Here, r is the common ratio.
The given sequence is,
[tex]64, -48, 36, -27, ...[/tex]
In the above sequence, the next term has opposite sign to its previous term. The common ratio between the two terms is,
[tex]r=\dfrac{-48}{64}=-\dfrac{3}{4}\\r=\dfrac{36}{-48}=-\dfrac{3}{4}\\r=\dfrac{-27}{36}=-\dfrac{3}{4}[/tex]
The common ratio of the sequence is -3/4. Put this value in the above formula as,
[tex]f(x+1)=-\dfrac{3}{4}\times f(x)[/tex]
Hence, the formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).
Learn more about the geometric sequence here;
https://brainly.com/question/1509142
Answer:
B
Step-by-step explanation:
edge
e + 3.1 = 5
this is hard.
AnswerAnswer:E=1.9
Step-by-step explanation:
ssorry bit i conta speak englessh
Hi can I help me, I’ll reward Branliest!!! :)))
Answer: Below
Step-by-step explanation:
We find the area of the base. Since this is a rectangular pyramid, the base would be the rectangle on the bottom:
3 * 2 = 6
Next we find the height. If we draw the height, we can see that it makes a right triangle with the base and sides, making the Pythagorean theorem valid.
Sqrt(3.4^2 - 1^2) = 3.3
The equation for volume in a pyramid is (base*height)/3.
(3.3 * 6)/3 = 6.6
Our answers are:
1) 6
2) 3.3
3) 6.6