1. It is the time needed for half of a substance to decay.??
Answer:
The half-life (t1/2) is the time taken for the activity of a given amount of a radioactive substance to decay to half of its initial value.
P/S 1: Are you sure that your question is related to maths?
+ Bonus: The half-life can be calculated from the decay constant as follows: half-life = ln (2) / (decay constant).
P/S 2: Not sure which is right tho:( Really sorry about that.
Tyler is observing the ascent of a
steel beam being lifted by a crane
from a position about 250 feet
away. What function models the
height h in feet of the beam as a
function of the angle of inclination
from Tyler's position to the steel
beam?
Answer:
Step-by-step explanation:
tanθ = h/250
h = 250tanθ
The height h in feet of the beam as a function of the angle of inclination from Tyler's position to the steel beam is h = 250 tanθ feet
What is angle of inclination?"The angle inclination of a line is the angle formed by the intersection of the line and the x-axis."
What are trigonometric functions?"The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."
We have
Adjacent side = 250 feet
From the figure,
We can write trigonometric function
Tanθ = [tex]\frac{AB}{BC}[/tex]
Tanθ = [tex]\frac{h}{250}[/tex]
⇒ h = 250 tanθ feet
Hence, The height h in feet of the beam as a function of the angle of inclination from Tyler's position to the steel beam is h = 250 tanθ
Learn more about angle of inclination and trigonometric functions here
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What is the value of X?
Answer:
X=20Step-by-step explanation:
because both angles are vertical they are equal to each other
lets solve 3x+50=6x-10
add 10 to 60
3x+60=6x
subtract 3x from 6x
60=3x
divide 3 on both sides
20=x
X=20
I hope this helped :)
Geometry question plz someone help me
What is the value of 21/8 divided by 3/4.
For the functions f(x) = 3x – 6 and g(x) = 3, (f9) (x) would be equal to:
a) (f9)(x) = 9x2 – 18
b) (f9) (2) = 9x – 18
c) (f9) (2) = x – 2
d) (f9) (x) = 3x – 3
The senior class is making T-shirts as a fundraiser. The material needed to make each T-shirt costs $3.75. The students sell each shirt for $10.To increase sales, the students spend $350 on advertising. How many t-shirts must the students sell to breakeven?
Answer:
the number of t-shirts sold to breakeven is 56 t-shirts
Step-by-step explanation:
The computation of the number of t-shirts sold to breakeven is shown below:
= Fixed cost ÷ (Selling price - cost price)
= $350 ÷ ($10 - $3.75)
= $350 ÷ 6.25
= 56 t-shirts
Hence, the number of t-shirts sold to breakeven is 56 t-shirts
Find the measure of an angle such that the difference between the measures of its supplement and three times its complement is 60°
The measure of the angle is
Answer:
X=50
Step-by-step explanation:
x is the angle
180 - x is its suplement
90 - x is its complement
(180 - x) - 3(90 -x) = 10
180 - x -270 +3x = 10
-90 + 2x = 10
2x = 100
X = 50
If m∠D=104°, what is m∠D'?
Answer:
m<D' = 180⁰-104⁰
m<D' = 76⁰
170
The following problems were in your worksheet on direct and inverse proportion. Reformulate the
relationships as algebraic expressions and remember to define the variables you use. You do not
have to solve the expressions.
5. The students in class usually drink a lot of water to help with their studies. I have found that
with five students in the class at least 30 litres of water is needed. How much water will be
needed when there are 30 students in the class?
Answer:
For s students, at least 6s liters of water will be needed. So, for 30 students, at least 6*30 = 180 liters of water will be needed.
Step-by-step explanation:
This question is solved by proportions, using rule of three.
I am going to say that:
s is the number of students.
l is the number of liters of water needed for s students.
I have found that with five students in the class at least 30 litres of water is needed.
This means that:
[tex]\frac{s}{l} = \frac{5}{30}[/tex]
[tex]5l = 30s[/tex]
[tex]l = \frac{30s}{5}[/tex]
[tex]l = 6s[/tex]
This means that for s students, at least 6s liters of water will be needed. So, for 30 students, at least 6*30 = 180 liters of water will be needed.
find the value of x. please tell fast plzzzz
Answer:
a) x=60°, 2x=120°
b) x=36°
Step-by-step explanation:
Step-by-step explanation:
In fig. a,
x+2x=180°
3x=180°
x=60°
In fig.b,
36°=× ----because vertically opposite angles are equal
HOPE IT HELPS YOU
Solve. 3 + 4(w + 5) = 31
Answer:
8/4We have,
3+4(w+5)
=31 Or, 3+20+4w
=31 or, 4w
=31−23
w=8/4
Thus, w comes out to be 2 .
Step-by-step explanation:
Hope it is helpful....
Answer:
w=2
Step-by-step explanation:
3 + 4(w + 5) = 31
distribute 4(w + 5)
4 x w = 4w
4 x 5 = 20
rewrite your equation
3 + 4w + 20 = 31
add like terms
3 + 20 = 23
rewrite equation
4w + 23 = 31
subract 23 on both sides
4w + 23 = 31
-23 -23
4w = 8
divide by 4 on both sides to get w by itself
4w = 8
4 4
w = 2
Solve 5x ≥ 25. Graph the solution.
Answer:
Step-by-step explanation:
Alright so we are going to solve
5x ≥ 25 Divide both sides by 5
x≥5
Need help with a math question urgently
If 1
Answer:
Wheres the picture-
Step-by-step explanation:
Ms.beatly Is trying to get healthy and starts running in the morning.She is able to run 5 miles in 45 minutes how many how many minutes does is for her to run 1 miles
Answer:
1. 9 minutes
Step-by-step explanation:
1. If she runs 5 miles in 45 minutes, you have 5 miles = 45 minutes. If you divide both sides of this ratio by 5, you get 1 miles = 9 minutes
2. Find out how many each person sells per week:
Emily: 4 boxes = 2 weeks
divide both sides by 2
2 boxes = 1 week
Jose: 9 boxes = 3 weeks
divide both sides by 3
3 boxes = 1 week
This means that jose sells more, because 3 boxes > 2 boxes
a triangle has side lengths of 16 cm and 19 cm which could be the value of the third side 29cm or 19cm. The value Blank cm is the value of the third side
Answer:
19 cm
Step-by-step explanation:
because the third side has to be equivalent to at least one other side.
WILL MARK BRAINLIEST
What is the volume of the shape in the image?
Answer:
18inches I HOPE IM RIGHTTT
Answer:
350
Step-by-step explanation:
you do length•width•height. so
10•7=70 and 70•5=350
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y= 4x + 1 ???
Step-by-step explanation:
I don't know this.. I haven't gotten to this yet so this is just a guess.. Im sorry if its wrong
if x = 2 and y=1 then prove that (x-y)²=x²-2xy+y²
Answer\Step-by-step explanation:
0≤(x − y)^2 ⟹ 0≤x^2−2xy+y^2
⟹ 2xy≤x^2+y^2
⟹ xy≤ x2+y2\2
⟹ xy≤ x^2+y^2
since the clearly nonnegative real x^2+y^2
clearly satisfies x^2+y^2\2 ≤x^2+y^2.
The proof of the quadratic equation (x-y)²=x²-2xy+y² is given.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
Quadratic equation
(x-y)²=x²-2xy+y²
To prove the equation:
We substitute the value and see if LHS = RHS.
In the LHS,
LHS = (x-y)²
LHS = (2-1)²
LHS = 1
In the RHS,
RHS = x²-2xy+y²
RHS = 4 - 4 + 1
RHS = 1
LHS = RHS
Therefore, the theorem (x-y)²=x²-2xy+y² is proved.
To learn more about the quadratic equation;
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Which number is prime?
A. 4
B. 10
C. 22
D. 31
Answer:
d. 31
Step-by-step explanation:
BRAINLIEST PLEASE
solve
y+ 5- y + 4 =
Answer:
9
Step-by-step explanation:
its 9 lol
Answer:
9
Step-by-step explanation:
Solve:
y-y= 0y or 0
5+4= 9
Hope this helps!
Please help i cant do it
combine like terms to create an equivalent expression
3.26d + 9.75d - 2.65
Answer:
13.01d - 2.65
Step-by-step explanation:
DON'T IGNORE THIS PART!!!
Hmmm... in order to be able to solve these type of expressions and more complex ones, we need to know what like terms are in the first place.
Well, the best definition of like terms is: Terms that have the same exact variables.
Let's see the terms that have the same exact variables! They are 3.26d and 9.75d.
By the way, before we continue--I would like to mention something extremely important: 3.26d and 9.75d are positive, whereas -2.65 is negative (you know, the negative sign appears right before it).
Now, let's add 3.26d and 9.75d. It equals 13.01d.
TIME TO COMBINE!!!
13.01d - 2.65
Fine the missing exponent
Answer:
hi
Step-by-step explanation:
it is simple
[tex]4 = {2}^{2} [/tex]
have a nice day
Answer:
2^2=4
Step-by-step explanation:
You have to multiply 2, 2 times. hope this helped edge
what is 691÷3 in long division
Answer:
230.33333.
Step-by-step explanation:
To know how much 691/3 is in long division, the following mathematical calculation must be performed, taking into account that long divisions seek to divide both the whole numbers and the decimals of the number:
691/3 = 230 (1 left over)
1/3 = 0.333333
230 + 0.33333 = 230.33333
Therefore, 691 divided by 3 results in 230.33333.
Write
7
2
5
as an improper fraction.
Answer:
7*2/5 it is a improper fraction
Answer:
[tex]\frac{7}{1}[/tex], [tex]\frac{2}{1}[/tex], and [tex]\frac{5}{1}[/tex]
Step-by-step explanation:
Those are all the improper fraction forms of 7, 2, and 5.
Write the equation of a line given its slope,m=6 and its y-intercept, b=-5
Answer:
Y = 6X-5
Step-by-step explanation:
substitute the value of slope and Y intercept in the standard equation Y = MX + B
where M is the slope and b is the y-intercept
0.9 (13) - 1.7 (3) =
Answer:
6.6
Step-by-step explanation:
Jonathon saves $4,000 at the end of each quarter for 10 years. Assume 12% compounded quarterly and find the present value.
A. $35,008.24
B. $92,459.08
C. $105,623.10
D. $88,459.08
Kaitlyn hopes to attend a college where tuition is $24,000 per year. She believes that tuition will increase at 4% for the 3 years until she plans to enter college. Find the quarterly payments needed to accumulate funds to pay the first year’s tuition if funds earn 8% compounded quarterly.
A. $1,597.20
B. $34.05
C. $2,012.87
D. $2,561.30
Answer:
Results are below.
Step-by-step explanation:
1. First, we need to calculate the Future Value:
FV= {A*[(1+i)^n-1]}/i
A= quarterly deposit
n= 10*4= 40
i= 0.12/4= 0.03
FV= {4,000*[(1.03^40) - 1]} / 0.03
FV= $301,605.04
Now, the present value:
PV= FV/(1+i)^N
PV= 301,605.04/(1.03^40)
PV= $92,459.09
2. First, we need to calculate the value of the first year of college:
FV= PV*(1+i)^n
FV= 24,000*(1.04^3)
FV= $26,996.74
Now, the quarterly payments:
FV= {A*[(1+i)^n-1]}/i
A= quarterly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
i= 0.08/4= 0.02
n= 3*4= 12
A= (26,996.74*0.02) / [(1.02^12) - 1]
A= $2,012.87
James was putting the table cloth back on the table after dinner. The table is 25 inches long and 10 inches wide. If the table cloth hangs 5 inches off each side, what is the area of the table cloth?
Answer:
3000
Step-by-step explanation:
Answer: 700 square inches
===============================================================
Explanation:
The dimension 25 bumps up to 25+5+5 = 35 since we add two copies of 5 onto it. This is done to account for the portions that hang off the edge.
Similarly, the 10 inch dimension bumps up to 10+5+5 = 20 inches.
The table cloth is 35 inches by 20 inches to give an area of 35*20 = 700 square inches.
Side note: 700 square inches is approximately equal to 4.861 square feet (divide by 144 to convert from square inches to square feet).
