Answer:
Without the math: 65 hours is 5 half-lives
13 hrs = 1/2
26 hrs = 1/4
39 hrs = 1/8
65 hrs = 1/32
(1/2)^5 = 1/32
400 mg / 32 = 12.5 mg that is, after 5 half-lives
Find the lateral area of this cone.
Leave your answer in terms of pi.
3cm
4cm
The lateral area of the cone is 20π square centimeters.
Given that a cone with base radius of 4 cm and the height is 3 cm, we need to find the lateral area of the cone,
The lateral area of a cone can be calculated using the formula:
Lateral Area = π r l
where:
π is a mathematical constant approximately equal to 3.14159.
r is the radius of the base of the cone.
l is the slant height of the cone.
To find the slant height, we can use the Pythagorean theorem.
The slant height (l) is the hypotenuse of a right triangle formed by the height (h) and the radius (r) of the cone.
The formula is:
l = √(r² + h²)
Given that the base radius (r) is 4 cm and the height (h) is 3 cm, we can calculate the slant height (l):
l = √(4² + 3²)
= √(16 + 9)
= √(25)
= 5
Now we can substitute the values into the formula for the lateral area:
Lateral Area = π r l
= π × 4 × 5
= 20π
Therefore, the lateral area of the cone is 20π square centimeters.
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A shoe store donated a percent of every sale to charity. a the total sales were $9,800 so the store donated $588. What percent of $9,800 was donated to charity?
Answer:
They donated 6%.
Step-by-step explanation:
The total sales were $9800.
The amount donated is $588.
We want to know what percent of 9800 is 588.
Let's make an equation.
what percent of 9800 is 588
x/100 • 9800 = 588
Divide by 9800.
x/100 = 0.06
Multiply by 100.
x = 6
They donated 6%.
Hope this helps!
Select the correct answer. Consider functions f and g. f(x) = x^3 + 5x^2-x Which statement is true about these functions? A. Over the interval , function f and function g are decreasing at the same rate. B. Over the interval , function f is increasing at the same rate that function g is decreasing. C. Over the interval , function f is decreasing at a faster rate than function g is increasing. D. Over the interval , function f is increasing at a faster rate than function g is decreasing.
Answer:
4.0/5
12
The second statement.
Step-by-step explanation:
Any increasing exponential function will always eventually be greater than any other non-exponential function.
The statement that is true from the function given above is:
"Over the interval [-2, 2], function f is increasing at a faster rate than function g is decreasing." (Option D)
A function in mathematics is known as an expression of a relationship involving two variables:
Dependent and Independent, using a mathematical connotation.Why is option D a True statement?It is clear from the number array (attached) that x > 0, f(x) ↑ while x< 0 f(x) ↓.
While for g(x) it is confirmed that 0 <x<2, gx) ↓.
[-2< x< 0, g(x) may ↓ or ↑]
Hence, x from 0 to 2, g(x) from 6 to -16, that has been modified for 22 while the f(x) changes from 0 to 26, and changed from 26, 26 > 22.2
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please help 11 points ☆
Answer:
:)
Step-by-step explanation:
HM TM M HTH TTH TH H T O
1. 2 4 5 8 2 3 6
2. 4 5 3 7 9 2 0 0
3. 1 5 7 9 0 5
4. 3 7 8 2 6 4 3 3 5
5. 6 7 8 9 4
John bought 8 goats at 1040000.He sold these goats and made a profit of 15% on each goat.How much did he sell each goat?
Answer:
149500
Step-by-step explanation:
since there's 8 goats, each goat would be 1040000/8, which is 130000 per goat.
marketing at a 15% increase means the new percentage would be 115%, which could be represented by 1.15.
130000 * 1.15 = 149500 / goat
2. Cross out the equations that are NOT linear functions.
y = 3x+2
y = 3/x
y = -2
y=4
y = x2(square) + 5
Welcome to the concept of the maths.
Here, we can see, that Linear equation always have highest power or degree of its variable as '1' ,
thus here, y = 3/x has degree as -1 and y = x^2 +5 has degree 2 ,
hence,
The equations that are NOT linear are
2.) y = 3/x and 5.) y = x^2 + 5
Find the Average
100-90-80-89-75-0
Explain how u got ur answer
Someone help I will give brainlist for whoever explains it
Answer:
72.3
Step-by-step explanation:
So, to find the average you need to add all the numbers together and divide it by the amount of numbers there are, if that makes sense.
so in your question: 100 + 90 + 80 + 89 + 75 + 0= 434
and there are 6 numbers that you had to add together, so you divide 434 by 6, which is 72.3 so that's the answer! It's quite easy once you understand how to do it :)
Belinda's shoe is 12.45 centimeters long. Felix's shoe is 2.8 centimeters longer than Belinda's shoe. In centimeters, what is the combined length of their two shoes?
Answer:
27.7 cm
Step-by-step explanation:
(12,45cm + 2.8cm)=(belinda's shoe+felix added cm)= felix's shoe
12,45cm= belinda shoe
combined lenght = 12,45+ 15,25=27.7 cm
The combined length of the Belinda's shoe which is 12.45 centimeters long and Felix's shoe is 27.7 centimeters.
How to measure the length?Length measurement is the measurement of the size of a object. The units of length measurement are meter, feet, yards etc.
In the metric system of length measurement the units are meter, kilometer, centimeter etc.
Centimeter-This unit is used when the size of a small object has to measure, such as match box, books. There are total 100 centimeters in one meter.Meter-This is the basic unit of length measurement of size. The size of room, length of wall measured in centimeter.Belinda's shoe is 12.45 centimeters long. Felix's shoe is 2.8 centimeters longer than Belinda's shoe. Let suppose the length of Felix's shoe is x meters. Thus,
[tex]x=12.45+2.8\\x=15.25\rm\; cm[/tex]
In centimeters, the combined length of their two shoes is,
[tex]l=15.25+12.45\\l=27.7\rm\; cm[/tex]
Thus, the combined length of the Belinda's shoe which is 12.45 centimeters long and Felix's shoe is 27.7 centimeters.
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make a the subject of d=g+2ac
Answer:
Step-by-step explanation:
From what I understand, you are trying to solve for a.
So,
d=g+2ac
d-g=2ac
(d-g)/2c=a
So,
a = (d-g) / 2c
plz hurry!! A person standing close to the edge on top of a 108-foot building throws a ball vertically upward. The quadratic function h ( t ) = − 16 t 2 + 132 t + 108 h ( t ) = - 16 t 2 + 132 t + 108 models the ball's height above the ground, h ( t ) h ( t ) , in feet, t t seconds after it was thrown. a) What is the maximum height of the ball?
Answer:
The maximum height of the ball is 380.25 feet in the air.
Step-by-step explanation:
The quadratic function:
[tex]h(t)=-16t^2+132t+108[/tex]
Models the ball's height h(t), in feet, above the ground t seconds after it was thrown.
We want to determine the maximum height of the ball.
Note that this is a quadratic function. Therefore, the maximum or minimum value will always occur at its vertex point.
Since our leading coefficient is leading, we have a maximum point. So to find the maximum height, we will find the vertex. The vertex of a quadratic equation is given by:
[tex]\displaystyle \left(-\frac{b}{2a},f\left(\frac{b}{2a}\right)\right)[/tex]
In this case, a = -16, b = 132, and c = 108. Find the t-coordinate of the vertex:
[tex]\displaystyle t=-\frac{132}{2(-16)}=-\frac{132}{-32}=\frac{33}{8}=4.125[/tex]
So, the maximum height occurs after 4.125 seconds of the ball being thrown.
To find the maximum height, substitute this value back into the equation. Thus:
[tex]h(4.125)=-16(4.125)^2+132(4.125)+108=380.25\text{ feet}[/tex]
The maximum height of the ball is 380.25 feet in the air.
Factor `y=2x^2+11x+5`
Answer:
(2x + 1)(x + 5).
Step-by-step explanation:
`y=2x^2+11x+5`
2 * 5 = 10
1 * 10 = 10 and 1 + 10 = 11 so we write:
y = 2^2 + 10x + x + 5
y = 2x(x + 5) + 1(x + 5)
= (2x + 1)(x + 5).
(6.8 X103)-(7.2 X 10)
1.1 X 104
X 10
Answer:
[tex]5.5\times 10^{-1}[/tex]
Step-by-step explanation:
We need to find the value of the given expression i.e.
[tex]\dfrac{6.8\times 10^3-7.2\times 10^2}{1.1\times 10^4}[/tex]
We can solve it as follows :
[tex]=\dfrac{6800-720}{11000}\\\\=\dfrac{6080}{11000}\\\\=0.55[/tex]
or
[tex]=5.5\times 10^{-1}[/tex]
So, the required answer is equal to [tex]5.5\times 10^{-1}[/tex].
Can y’all help me with this
9. The height of a ball thrown into the air is a quadratic function
of time. The ball is thrown from a height of 6 ft above the
ground. After 1 second, the ball reaches its maximum height of
22 ft above the ground. Write the equation of the function in
vertex form.
Answer:f(x)=-16(x-1)^2+22
Step-by-step explanation:
The equation for the trajectory of ball in the air is h(t) = -16t² + 32t + 6.
What is differentiation?The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = lim h --> 0 (f(x + h) - f(x)) /(x + h - x).
It can also be said as the slope of the tangent for the function at a given point.
Given that,
The maximum height reached by the ball after 1 sec is 22 ft above ground.
And, the height at which it is thrown is 6 ft above the ground.
Which implies at 0 sec the height is 6 ft.
The quadratic function for the height can be written as,
h(t) = at² + bt + c
Substitute t = 0 to gat,
f(0) = a × 0² + b × 0 + c
=> c = 6
Now, for maximum height,
h'(t) = 0
=> 2at + b = 0
At maximum height t = 1
Then, the above expression becomes,
2a × 1 + b = 0
=> a = -b/2
Substitute t = 1 in h(t) = at² + bt + c to get,
22 = a + b + c
=> 22 = -b/2 + b + 6
=> b/2 = 16
=> b = 32
Then, a = -b/2
= -32/2
=-16
Thus substituting the corresponding values the equation can be written as h(t) = -16t² + 32t + 6.
Hence, the required equation for the path of the ball in the air is h(t) = -16t² + 32t + 6.
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A box contains 5 red, 4 white and 6 blue balls. If three balls are drawn at random without replacement, determine the probability that none of the balls selected is red.
Answer:
The probability that none of the balls selected is red ²⁴/₉₁
Step-by-step explanation:
Given;
number of red balls, R = 5
number of white balls, W = 4
number of blue balls, B = 6
Total number of balls, = 5 + 4 + 6 = 15
Probability of selecting 3 none red balls = P(WWW) or P(BBB) or P(WWB) or P(WBW) or P(BWW) or P(BBW) or P(BWB) or P(WBB)
[tex]P = (\frac{4}{15} \times \frac{3}{14} \times \frac{2}{13} ) + (\frac{6}{15} \times \frac{5}{14} \times \frac{4}{13} ) + (\frac{4}{15} \times \frac{3}{14} \times \frac{6}{13} ) + (\frac{4}{15} \times \frac{6}{14} \times \frac{3}{13} ) + \\\\(\frac{6}{15} \times \frac{4}{14} \times \frac{3}{13} ) + (\frac{6}{15} \times \frac{5}{14} \times \frac{4}{13} ) + (\frac{6}{15} \times \frac{4}{14} \times \frac{5}{13} ) + (\frac{4}{15} \times \frac{6}{14} \times \frac{5}{13} )[/tex]
[tex]P = \frac{24}{2730} + \frac{120}{2730} + \frac{72}{2730} +\frac{72}{2730} + \frac{72}{2730} + \frac{120}{2730} + \frac{120}{2730} + \frac{120}{2730} \\\\P = \frac{720}{2730} \\\\P = \frac{24}{91} \\\\[/tex]
Therefore, the probability that none of the balls selected is red ²⁴/₉₁
need help asap just need answer
Answer:
89m
Step-by-step explanation
area of the triangle 15
area of the rectangle 104
104-15=89m
Answer:
[tex]89[/tex] [tex]m^{2}[/tex]
Step-by-step explanation:
area of a triangle = [tex]\frac{bh}{2}[/tex]
so [tex]\frac{(5)(6)}{2}[/tex] = 15 [tex]m^{2}[/tex]
area of a rectangle = [tex]\\ bh[/tex]
so [tex]\\ 8[/tex]×[tex]\\ 13[/tex] [tex]\\ = 104[/tex] [tex]m^{2}[/tex]
so the area of the figure is
[tex]\\ 104[/tex] [tex]m^{2}[/tex] - 15 [tex]m^{2}[/tex] = [tex]89[/tex] [tex]m^{2}[/tex]
Which equation does not belong with the other three?
B
C
А
D
15y = 6x
2
y = -x
5
10y = 4x
5xy = 2
OD
ОА
B
Ос
Answer:
The Right option is D
Step-by-step explanation:
From the picture below,
For A,
15y = 6x
Where we divide both side of the equation by 3
15y/3 = 6x/3
5y = 2x
For B,
y = 2/5(x)
y×5 = 2x
5y = 2x.
For C,
10y = 4x
Divide both side of the equation by 2
10y/2 = 4x/2
5y = 2x.
For D,
5xy = 2. It can not be simplified futher.
Therefore,
From the above simplification, We can see that,
Equation A = Equation B = Equation C.
Equation D is the only Equation that does not belong to the other three.
Hence the right option is D
Have a conversation :>
yep c:
Answer:
Yep......a lot of notifications on my phone.....lol
thx for points!
Follow me! :)
Please help i will mark brainliest!!!
Answer:
64 square units
Step-by-step explanation:
if you spilt up the polygon you can find the area of the square and triangle making up the square.
length * width = Area; 6 * 8 = 48 sq units for the square part
1/2 * base * height = Area; 1/2 * 4 * 8 = 16 sq units for the triangle part
then add the two areas together for the area of the entire polygon:
48 + 16 = 64 sq units
Can someone please help me with math
8) is B
9) is also B ([tex]y=2x+3[/tex])
Does anyone know this?
can you help me plz NO LINKS
Steve types at a rate of 45 words per minute. He writes an equation relating the number of words he can type, w, to the number of minutes he spends typing, m.
w = 45m
Xena doesn’t know the number of words per minute that she can type. But she recorded the time it took her to type different numbers of words in this table.
Minutes Words
2 100
4 200
8 400
If we graphed both of these proportional relationships, the graph representing _____
typing would be steeper than the graph representing ______typing. So, _______
types more words per minute.
En una asamblea del colegio acuden padres de los cuatro cursos de la ESO. La cuarta parte de los padres son de 1º ESO, la décima parte son de 2ºESO, la cuarta parte son de 3º ESO y 56 padres son de 4º ESO. a)¿Cuántos padres acudieron a la asamblea? b)¿Cuántos padres de 1ºESO acudieron a la asamblea? c)¿Cuántos padres de 2ºESO acudieron a la asamblea? d)¿Cuántos padres de 3ºESO acudieron a la asamblea?
Answer:
Parents from the four ESO courses attend a school assembly. A quarter of the parents are from 1st ESO, a tenth are from 2nd ESO, a quarter are from 3rd ESO and 56 parents are from 4th ESO. a) How many parents attended the assembly? b) How many parents from 1ºESO attended the assembly? c) How many parents of 2nd ESO attended the assembly? d) How many 3rd grade parents attended the assembly?
Step-by-step explanation:
Determine the sine, cosine, and tangent of the angle
i need help please as soon as possible thanks
Step-by-step explanation:
12a-9a>-12+6
3a>-6/:3
a>-2
Joshua is going to invest $680 and leave it in an account for 19 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Joshua to end up with $1,680?
Answer:
4.8%
Step-by-step explanation:
Answer:4.8
Step-by-step explanation:
Trust
phoenix is a businessman who travels frequently he uses atms in many cities and does not write many checks he also uses direct deposit and has a savings account. Phoenix's bank is one of the four financial institutions described below which is most likely Phoenix's bank
Answer:
Bank 3
Step-by-step explanation:
No additional charges for automatic deposit and includes saving account.
I need help with this
Answer:
a is the answer for this question
What is the value of
N?
1/2
3/2
3/3
3
c is the answer
Answer:
Step-by-step explanation:
