Answer:
t = 66.4 minutes ( to the nearest tenth of a minute)
it would take the element 66.4 minutes to decay to 11 grams
Step-by-step explanation:
Given;
Initial amount N = 510 g
Final amount Nt = 11 g
Half life t(1/2) = 12 minutes
The amount of time t required for the Element X to decay from N to Nt can be written as;
t = ln(Nt/N) ÷ -λ .....1
Where;
λ = decay constant
λ = ln(2)/t(1/2)
Substituting λ, equation 1 then becomes;
t = ln(Nt/N) ÷ -(ln(2)/t(1/2))
Substituting the values;
t = ln(11/510) ÷ -(ln(2)/12)
t = −3.8365 ÷ -0.05776
t = 66.419
t = 66.4 minutes ( to the nearest tenth of a minute)
What is the sum of the first 5 terms of this geometric series? Use . -4 + 12 + (-36) + ⋯
Answer:
-244
Step-by-step explanation:
You are multiplying by -3.
-4+12+(-36)+108+(-324)= -244
What is the square root of 3/4•3
Answer:
1.5 is your answer
Step-by-step explanation:
Answer:
5.0625
Step-by-step explanation:
If A2 = A, which matrix is matrix A?
Picture attached
Answer:
The first one and the third one.
Step-by-step explanation:
I did the Plato Math
Factor completely. 10x^3 + 2x^2 + 5x + 1
Answer:
(5x + 1)x(2x^2+1)
Step-by-step explanation:
Sandra saves 9% of her salary for retirement this year salary was 1000 more than in her previous year and she saved $4050 what was your salary in the previous year
Answer:
$44,000
Step-by-step explanation:
The statement indicates that Sandra saves 9% of her salary and she saved $4,050 this year. That means that the 9% of her salary, x, is equal to $4,050. You can write the following:
x*0.09= 4,050
Now, you can isolate x to find her salary this year:
x=4,050/0.09= 45,000
Then, you have that this year salary was 1000 more than in her previous year. As you have found her salary for this year, you can subtract 1,000 from it to find her salary in the previous year:
45,000-1,000= 44,000
According to this, the answer is that her salary in the previous year was $44,000.
In Tim's garden, the flowers are
only red, white, yellow or blue.
The chart shows the number of
red, white and yellow flowers.
The total number of flowers is 30
12
10
a) How many blue flowers are there?
6
b) Write down the mode.
(ive answered A anyone know b?)
Answer:
MODE is the number which appears most often in a set of numbers. Here no number is repeated. So, there is no MODE
｡☆✼★ ━━━━━━━━━━━━━━ ☾
As the other user stated, the mode is the value that appears the most
Simply look for which colour has the most number of flowers
Thus, the mode would be "yellow"
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Select the expression that is equivalent to 48 + 12.
Answer:
Where are the expressions?
Answer:
48+12=60
60÷2=30
your answer is 30+30
What are the solutions to the equation x2 + 6 x = 40
Answer:
x=4 or x=-10
Step-by-step explanation:
x² + 6x = 40
x² + 6x - 40 = 40 - 40
x² + 6x - 40 = 0
Use quadratic formula:[tex]\frac{b-+\sqrt{b^{2} -4ac} }{2a}[/tex]
a=1 , b=6 , c= -40
[tex]\frac{-(6)-+\sqrt{6^{2} -4.1.(-40)} }{2.1}[/tex]
[tex]\frac{-(6)-+\sqrt{196} }{2.1}[/tex]
x=4 or x=-10
Hope this helps ^-^
2. Xander was given 10 cups of birdfeed to pour into four birdfeeders. He poured 2 cups of feed into
one feeder, 4 cups of feed into the second feeder, 2 cups of feed into the third feeder, and 1 cup into
the fourth feeder. He did not put birdfeed anywhere else. Which expression best represents the
amount of birdfeed leftover after Xander poured birdfeed into the four birdfeeders?
a. 10 +2 +4 +2+1
b. 2 + 4 + 2 +1-10
C. 4 - 10 +2 +2 +1
d. 10-2-4-2 - 1
Answer:
D.
Step-by-step explanation:
10 - 2 - 4 - 2 - 1 since he went to dump all those so you have to subtract them from the original amount.
What is the slope of the line that passes through the points (10, 2) and (19,14)?
Write your answer in simplest form.
Answer:
4/3
Step-by-step explanation:
Slope is calculated by [tex]\frac{y1-y2}{x1-x2}[/tex] so now you pul the points (10,2) and (19,14) into that.
[tex]\frac{14-2}{19-10}[/tex] = [tex]\frac{12}{9}[/tex]
12/9 can be simplified to be 4/3
Answer:
4/3
Step-by-step explanation:
Given,
Two points are (10,2) and (19,14)
To find the slope of the line passing through these points.
Can someone pls help me ASAP!
Answer:
No
Step-by-step explanation:
Answer: NO
Step-by-step explanation: Put in (-7) in place of x, and (7) in place of y in the equation If the equation does not equal -2, it is not a solution. If it does equal -2, it is a solution.
(-7,7)
6x+9y=-2
Plug in -7 for x and 7 for y.
6(-7)+9(7)=-2?
Solve the equation.
-42+63= -21
So, (-7,7) is not a solution to this equation.
Mark me brainliest! :D
Find c, yenvelope(x,t), and ycarrier(x,t). express your answer in terms of a, k1, k2, x, t, ω1, and ω2. separate the three parts of your response with commas. recall that yenvelope (the second term) varies slowly whereas ycarrier (the third term) varies quickly. both yenvelope and ycarrier should be trigonometric functions of unit amplitude.
Answer:
[tex]C,Y_{envelope}(x,t), Y_{carrier}(x,t)=2A, \cos ((k_1-k_2)x/2-(\omega_1 -\omega_2)t / 2 ) , \sin ((k_1+k_2)x / 2 - (\omega_1 +\omega_2)t / 2 )[/tex]
Step-by-step explanation:
Given
[tex]Y_1(x,t)=A \sin(K_1x- \omega _1 t)\\\\Y_2(x,t)=A \sin(K_2x- \omega _2 t)[/tex]
using a trigonometrical identity
sin p + sin q = 2 sin ( p+q/2) cos ( p-q/2)
and here the condition is
the choice is in between sinax and cosax
where a > b
so we get using above equation
[tex]C,Y_{envelope}(x,t), Y_{carrier}(x,t)=2A, \cos ((k_1-k_2)x/2-(\omega_1 -\omega_2)t / 2 ) , \sin ((k_1+k_2)x / 2 - (\omega_1 +\omega_2)t / 2 )[/tex]
Write an expression to represent the following: Five more than the product of 9 and a number u
Answer:
9u+5
Step-by-step explanation:
Answer:
5(9+u)
Step-by-step explanation:
Preston signed up for overdraft protection at his bank. This bank charges an overdraft fee of $30 for insuffcient funds. Preston has a balance of $50. He then purchased a pair of tennis shoes using his bank debit card. If the total charge for the tennis shoes is $52, what will be Presont's new balance?
Answer:
-$32
Step-by-step explanation:
Given that
Overdraft fee = $30
Preston Balance = $50
Total expenditure = $52
As per the given question the solution of new balance is provided below:-
To reach the new balance of Presont's first we need to find out the overdraft balance which is as follows:-
Overdraft balance = Balance - Total expenditure
= $50 - $52
= -$2
Since there is a balance of $50 but Pretson purchased for $52 value that results -$2 overdraft balance. In order to determine the new balance we simply added the overdraft fee and overdraft balance which is shown in negative sign.
Now according to the question the New balance of Presont's = Overdraft balance - overdraft fee
= -$2 - $30
= -$32
What is the area of the figure below? Use 3.14 for pi. Round your answer to the nearest hundredth.
Answer:
area of the figure ≈61.23 cm² to the nearest hundredth
Step-by-step explanation:
To find the area of the figure, we will follow the steps below;
Looking at the figure, we will see that the figure comprises of both semi-circle and a parallelogram
area of figure = area of semicircle + area of parallelogram
first, we will find the area of the semi-circle
area of a semi-circle = πr² /2
from the diagram given, diameter = 7cm
but diameter = 2r, this implies that radius r = d/2, hence radius r = 7/2 = 3.5 cm
π = 3.14
Lets insert the values into the formula
area of a semi-circle = πr² /2
=3.14×3.5² /2
=3.14×12.25 /2
=19.2325 cm²
Area of a parallelogram = b×h
where b = base and h = height
from the figure given, base b = 7cm and height h = 6 cm
Lets insert the values into the formula
Area of a parallelogram = b×h
= 7×6
=42 cm²
area of the figure = area of semicircle + area of parallelogram
=19.2325 cm² + 42 cm²
=61.2325 cm²
≈61.23 cm² to the nearest hundredth
area of the figure ≈61.23 cm² to the nearest hundredth
Solve:
4
3
x −4 = 5 + x
Answer:
undefined
x= no solutions
Step-by-step explanation:
x-4=5+x
-4=5
undefined
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=3/14
Decimal Form:
x=0.2142857
Step-by-step explanation:
The mean temperature for the first 4 days in January was -7°C.
The mean temperature for the first 5 days in January was -6°C.
What was the temperature on the 5th day?
Answer:
the answer is -11
Step-by-step explanation:
yeah the answer is - 11
Please help please help me now
Answer:
<B=39.80
Step-by-step explanation:
tan(b)=5/6
b=[tex]tan^{-1}[/tex](5/6)
b=39.80557109
b=39.80 to the nearest hundredth.
Answer:
[tex] \angle B= 39.81\degree[/tex]
Step-by-step explanation:
[tex] \because \tan \angle B = \frac {AC}{BC} \\\\
\therefore \tan \angle B = \frac {5}{6} \\\\
\therefore \tan \angle B = 0.833333333\\
\therefore\angle B= \tan^{-1}(0.833333333)\\
\therefore\angle B= 39.805569965\degree \\
\huge \purple {\boxed {\therefore\angle B= 39.81\degree}} [/tex]
A set of cloth napkins costs $6.67. How much would it cost to buy 10 sets of cloth napkins?
Answer:
$66.70 for 10 sets
Step-by-step explanation:
Multiply the cost of 1 set by the number of sets wanted
$6.67 * 10
66.70 for 10 sets
Answer:
$66.70
Step-by-step explanation:
In order to figure out the cost of 10 sets of napkins, you have to multiply the cost of one set by 10.
Gia is painting her wall. 1 liter of paint can cover 10 square meters. She has a rectangular wall that
measures 4 meters by 5 meters.
How many liters of paint will Gia need to cover her wall
The quantity of paint will be 2 litres for 20 square meters area.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Gia is painting her wall. 1 litre of paint can cover 10 square meters. She has a rectangular wall that measures 4 meters by 5 meters.
The total area of the wall = 4 x 5 = 20 square meters
Paint for 10 square meters area = 1 litre
Paint for 20 square meters area = 1 x 2 = 2 liters
Therefore, the quantity of paint will be 2 litres for 20 square meters area.
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Can someone help me with this one plz?
find product simplified form: (x√y + z) (x√y - z)
x^2y - z^2
x^2y + 2zx√y - z^2
x^2y - 2^2
x^2y^2 - z^2
Answer:
[tex]x^{2}y-z^{2}[/tex]
Step-by-step explanation:
Apply [tex](a+b)(a-b) = a^{2} -b^{2}[/tex] where [tex]x\sqrt{y}[/tex] is [tex]a[/tex] and [tex]z[/tex] is [tex]b[/tex].
[tex](x\sqrt{y} )^{2}-z^{2}[/tex]
[tex](x\sqrt{y} )^{2}=x^{2}y[/tex]
[tex]x^{2}y-z^{2}[/tex]
Hope this helps! :]
I really want to thank you for the answer and explanation.
what are the coordinates of Point W?
Answer:
I think it's (2,9)
Step-by-step explanation:
Answer:
(2, 9)
Step-by-step explanation:
You can see at the end it says 6. You would start with point Z(2, 3) and move up 6 units. This will leave you with (2, 9).
Mario paid $44.25 in taxi fare from the hotel to the airport. The cab charged $2.25 for the first mile plus $3.50 for each additional mile. How many miles was it from the hotel to the airport?
Answer:
12 miles
Step-by-step explanation:
2.25+3.50x=44.25
3.50x=42
x=12
if you are given the coordinates of a, b, c, and d, how could you prove that abcd is a rectangle? select all that apply
Answer:
A, C and D.Step-by-step explanation:
Remember that a rectangle is a quadrilateral which have its opposite sides equal and parallel, and all its internal angles are 90°. So, those are all the characteristics we need to demonstrate.
Additionally, the diagonals of a rectangle bisect each other.
Having said that, the choices A, C and D can help to demontrate that the figure is a rectangle.
You prove that abcd is a rectangle by the options A, Cand D.
We have given that figure ABCD
we have to determine that ABCD is a rectangle.
Remember that a rectangle is a quadrilateral which have its opposite sides equal and parallel, and all its internal angles are 90°.
So, those are all the characteristics we need to demonstrate.
What is the rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
Additionally, the diagonals of a rectangle bisect each other.
Having said that, choices A, C, and D can help to demonstrate that the figure is a rectangle.
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Which of the following is equal to7 1/4?
Answer:
[tex]B. \sqrt[4]{7} [/tex]
[tex] {7}^{ \frac{1}{4} } = \sqrt[4]{7} [/tex]
Answer:
b
Step-by-step explanation:
teérrt
Help please!!!!! I hate this part of volume of pyramids :/
Answer:
h = 6 cm
Step-by-step explanation:
The volume (V) of a pyramid is calculated as
V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of base and h the height )
Here A = 3 × 2 = 6 cm² and V = 12 , thus
[tex]\frac{1}{3}[/tex] × 6 × h = 12, that is
2h = 12 ( divide both sides by 2 )
h = 6 cm
Equation with angle addition can someone please answer I need help please
Answer:
99°
Step-by-step explanation:
We know that angles on a straight line add up to 180° so we can set up an equation to find the value of x.
In an equation it's important to do the operation you want to on both sides because if you do an operation on one side only you will end up changing the whole equation and that will make the value of x wrong so its an important rule to remember.
8x - 13 + 7x - 17 = 180
→ Simplify
15x - 30 = 180
→ Add 30 to both sides to isolate 15x
15x = 210
→ Divide both sides by 15 to isolate x
x = 14
But we are not finished, the specifies us to find ∠MON and we have only found the value of x so we have to substitute x back into 8x - 13 to find the value of ∠MON
8x - 13
→ Substitute x = 14 back into into the expression
8 × 14 - 13
→ Simplify
112 - 13 = 99
So the value of ∠MON is 99°
the trapezium is down on a centimetre grid find the area of the trapezium
Answer:
21 square cm
Step-by-step explanation:
[tex] b_1 = 9 \:cm, \: b_2 = 5 \:cm, \: h = 3\: cm\\
Area\: of\: trapezium\\
= \frac{1}{2} (b_1 +b_2)\times h\\\\
= \frac{1}{2} (9 +5)\times 3\\\\
= \frac{1}{2} \times 14 \times 3\\\\
= 7 \times 3\\\\
= 21 \: cm^2 [/tex]
The Zearn Fair charges $1.75 for entrance and $1.05 for each ride. Mr. Sawicki brings $20 with him to the fair. What is the greatest number of rides Mr. Sawicki can go on if he uses $2.50 for food? How much money can Mr. Sawicki spend in total
Step-by-step explanation:
So
Total money = 20
Entrance fee = 1.75
Food = 2.50
Ride = 1.05
Amount spend = 1.75 + 2.05 = 3.8
Left for rides = 20 - 3.8 = 16.2
So rides = 16.2 ÷ 1.05 = 15
I think atleast 15 rides