Answer:
41.79 hours
Step-by-step explanation:
The Half-time Decay Formula: [tex]N=N_0(\frac{1}{2})^\frac{t}{d}[/tex]
Where [tex]N_0[/tex] is the original number, and t = time, and d = time it takes to half
18 would be d
100 would be [tex]N_0[/tex]
and 20 would be N
[tex]20=100(\frac{1}{2})^\frac{t}{18}[/tex]
[tex]0.2=(\frac{1}{2})^\frac{t}{18}[/tex]
[tex]log_\frac{1}{2}0.2=\frac{t}{18}[/tex]
[tex]18* log_\frac{1}{2}0.2=t[/tex]
[tex]18* \frac{log_{10}0.2}{log_{10}\frac{1}{2}}=t[/tex]
= 41.79470571
20/100 + 4/10 =20/100 + x = x move a fraction to make the equation true
Answer:
remove 4/10
20/100=20/100= 1 which is x
Step-by-step explanation:
Mrk ME BRAINLIEST PLZZZZZZZZZZ
In a right triangle, angle φ has a tangent value of 1.40. The side adjacent to angle φ has a length of 9.0 inches. What is the length of the side opposite angle φ?
a. 6.4 inches
b. 12.6 inches
c. 9.1 inches
d. 54.4 inches
Answer:
b) 12.6 inches
Step-by-step explanation:
tangent is the ratio of the side opposite over adjacent, so if we let x= length of the opposite side, 1.40=x/9, x=12.6 inches
b) 12.6 inches
Hope it helps!!
A rectangular swimming pool has a base with measurements of 25 meters and 17 meters. The height of the pool is 2 meters, what is the volume of the pool
Answer:
850m³
Step-by-step explanation:
Volume is length X width X height.
So, 25 x 17 x 2 = 850 meters cubed
Samuel wants to buy cookies for his friend. The diameter of a cookie is 20 inches. What is the cookies area? Round to the nearest hundredth
Answer:
314.16
Step-by-step explanation:
Area=πr2
d=2r
Solving for Area
A=1
4πd2=1
4·π·202≈314.15927
Find the mean, median, and mode. Plz help me it’s a test
Answer:
Mean- 70.8
Median- 70
Mode- 60
Step-by-step explanation:
Mean: 20+20+50+50+50+60+60+60+60+60+60+70+70+70+80+80+80+80+90+90+90+90+100+100+130= 1770
1770/ 25= 70.8
Median: cross off on each sides till you get to the middle number
Mode: 60 occurs the most frequent
if 2/3x - 1 = 4 then x = ?
Answer: 2/15
Step-by-step explanation:
2/3x-1(3x/3x)=4
2/3x-3x/3x=4
2-3x=12x
2=15x
x=2/15
The quadrilateral shown is a rectangle. What is measure zvw
Answer:
measure of zvm is 119°
Step-by-step explanation:
xvw+zvw=180°{straight angle}zvm=180-61=119°stay safe healthy and happy.Can you help me please
Answer:
∠1 = 48
∠2 = 132
∠4 - 132
Step-by-step explanation:
∠3 and ∠1 are vertical angles
vertical angles are congruent ( equal to each other )
So if ∠3 = 48° then ∠1 also = 48°
∠3 and ∠4 are supplementary angles
supplementary angles add up to equal 180°
Hence, ∠3 + ∠4 = 180
48 + ∠4 = 180
180 - 48 = 132
Hence, ∠4 = 132
∠4 and ∠2 are vertical angles
Like stated previously vertical angles are congruent
Hence, ∠2 = 132
Examine the expression. 17x - 34 Which is an equivalent expression? O 17*(1 + ) O 17x (1-2) O 17+(1-1) O 17*(1 + 2)
Answer:
17(x-2)
Step-by-step explanation:
Given the expression
17x - 34
We are to factorize it
Get their factors
17x = 17 * x
34 = 17 * 2
Since 17 is common to both factors, hence 17 is the GCF
17x - 34 = 17(x - 2)
Hence the equivalent expression is 17(x-2)
Last year, a population of rabbits had 20 births, 10 deaths, 15 individuals immigrate, and 15 individuals emmigrate.
What is the change in population size for the rabbits that year?
Answer:
+10
Step-by-step explanation:
35 - 25 = 10. I got 35 because 20 + 15 from the bunnies immigrating and 25 from the deaths and bunnies emmigrating out of the population.
Can someone help me plzz!! no links tho
Answer:
A
Step-by-step explanation:
Rectangle has a vertices at (-1,4), (-1,-1) and (4, -1) where is the fourth vertex located
Answer:
(4,4)
Step-by-step explanation:
1. I drew a grid and plotted the 3 points I already knew
2. I found the spot that had the same x coordinate that the point to the bottom left of the shape, and the same y coordinate of the top right of the shape which was the point (4,4)
I hope this helps!!
Please help me find the range!
Fabric is on sale for these prices: orange, $3 per yard; blue, $4 per yard; yellow, $2.50 per yard; and white $1.50 per yard. Irma needs to buy 3 different colors of fabric with a total length of 2 yards. She has a budget of $6. What fabrics could she buy?
Answer:
Yellow White And Orange I pretty Sure!! Im sorry if this is not what you want! I can change it if so.
Step-by-step explanation:
What is the area of this square?
Answer:
100
Step-by-step explanation:
Formula is bh (Base times Height)
so 10 * 10
Hope this helped :]
Answer:
100 m
Step-by-step explanation:
Area is found by multiplying the length and height of a shape. The length and height of the square are both 10 m.
10 ⋅ 10 = 100
THIS IS URGENT PLZ HELP!!!
Find three consecutive EVEN numbers such that: The sum of one sixth of the first number, two sevenths of the second number and one half of the third number equals 54
Answer:
12
Step-by-step explanation:
2
4
6
8
10
12
14
16
18
20
22
24
26
Can somebody help me out my grade are bad
Answer:
I would make a triangle
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is easy I just need the answer thanks!!! :)
Answer:
225 inches
Step-by-step explanation:
15 x 15 = 225
Please explain how - calc ab - see attached photo
Answer:
D
Step-by-step explanation:
Set up to different integrals that match the endpoints
so in our case it would look like
[tex]\int\limits^0_{-2} {x} \, dx +\int\limits^1_0 {x+1} \, dx[/tex]
now it's just a matter of computing it
[tex]\int\limits^0_{-2} {x} \, dx =x^2\\0^2-(-2)^2=4\\\int\limits^1_0 {x+1} \, dx =\frac{x^2}{2}+x\\\frac{1}{2}+1-0=\frac{3}{2}\\\frac{3}{2}+4=\frac{11}{2}[/tex]
A wheel with a 1 foot radius spins in place in a counterclockwise direction. Explain why the distance point P travels is the same as the angle of revolution (measured in radians) of this wheel?
Answer:
See below.
Step-by-step explanation:
The definition of radian is:
A radian is a unit of angle measurement such that a central angle of a circle measuring 1 radian subtends and arc of the circle whose length equals the radius if the circle.
In this case, the radius is 1 foot. Point P travels along the arc formed by an angle. When the angle is 1 radian, the arc length equals the radius of the circle, 1 foot. It is simply following the definition of radian.
Point P will travel a 2π distance in a complete revolution i.e. the distance point P travels is the same as the angle of revolution.
What is 1 radian?One radian is defined as the angle subtended from the centre of a circle which intercepts an arc equal in length to the radius of the circle.
Circumference of the circle = 2π(1) =2π feet.
This means point P will travel a 2π distance in a complete revolution.
A complete revolution = 360° or 2π
Hence, point P will travel a 2π distance in a complete revolution i.e. the distance point P travels is the same as the angle of revolution.
To get more about circles visit:
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i need help with geometry!!
Answer:
1 - 178cm
2 - 1,039.2 m
Step-by-step explanation:
Help please!! ASAP!!
Thanks!!
Answer:
402
Step-by-step explanation:
The standard formula for the nth term of an arithmetic sequence is:
t + (n - 1)d
where t is the first term and d is the common difference. We can substitute to create a system of equations to solve for the first term and common difference:
22 = t + (5 - 1)d
62 = t + (15 - 1)d
22 = t + 4d
62 = t + 14d
We can use elimination to cancel out t:
62 = t + 14d
-( 22 = t + 4d )
40 = 10d
d = 4
Now, we can substitute the common difference to find the first term:
22 = t + 4*4
22 = t + 16
t = 6
Lastly, we can substitute values in the first equation to find the 100th term:
a100 = t + (n - 1)d
a100 = 6 + (100 - 1)(4)
a100 = 6 + (99)(4)
a100 = 6 + 396
a100 = 402
Here!! no links please
Answer:
area = 66.28 km²
Step-by-step explanation:
area = (8 x 2) + (11 x 4) + (3.14)(2²)(0.5) = 16 + 44 + 6.28 = 66.28 km²
Answer:
Solution given:
area of semi circle=½×π×r²=½π×2²=6.28km²
area of rectangle ABCD=L×b=3×4=12km²
area of rectangle EFGC=L×b=8×6=48km²
total area =6.28+12+48=66.28 square kilometers.
The Old-Fashioned but Newfangled Candy Company wants to mix some of its $5.50 per pound Tropical Taffy, with 100 pounds of its $6.25 per pound Passion Fruit Taffy to create a $6 per pound taffy called Tropical Passion. How many pounds of the $5.50 per pound Tropical Taffy should the company use?
Answer:
50
Step-by-step explanation:
x= the number of pounds of the tropical taffy that should be used
You need to take the value of the Tropical Taffy + the value of the Passion Fruit taffy to = the value of Tropical Passion
value- price per pound times the number of pounds
Your equation is going to look like this-->
5.50x+6.25(100)=6(x+100)
5.50x+625=6x+600
-5.50x -5.50x
625=0.5x+600
-600 -600
25=0.5x
50=x
Hope this helps!
I need help with this question. check your solution please show WORK please. 5 = x + 8
Answer:
x = -3
Step-by-step explanation:
5 = x + 8
You need to get x by Itself so subtract 8 to both sides.
5 - 8 = -3
so therefore x = - 3
4) Write the equation for the line of best fit shown in the graph below. Show all your work.
(3 points)
Answer:
3y = 2x+6
Drawing:
NEED HELP ASAP PLEASE PRETTY SIMPLE TYSM
Answer:
[tex]2x + 3y = 6 ---(1)\\y = \frac{x}{6} - 3 ----(2)\\\\substitute \ y \ in \ (1)\\2x + 3(\frac{x}{6} - 3) = 6\\\\2x + \frac{x}{2} - 9 = 6\\\\\frac{5x}{2} = 6+9\\\\\frac{5x}{2} = 15\\5x = 30 \\x = 6\\substitute \ x \ in \ (2)\\\\y = \frac{6}{6} -3 = 1 - 3= -2[/tex]
x = 6, y = -2
Select all the right triangles, given the lengths of the sides.
Answer:
A and E are right triangles
Triangles A and triangle E are the right-angle triangle, but triangles B, C, and D are not right-angle triangles.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
The slanted side of that triangle is called Hypotenuse and it is the longest side in that triangle.
Applying in Pythagoras theorem in the triangle A:
(√5)² = (√2)²+ (√3)²
5 = 5
Triangle A is the right-angle triangle.
For triangle B:
(√5)² = (√4)²+ (√3)²
5 ≠ 7
Triangle B is not the right-angle triangle
For triangle C:
16 + 25 ≠ 36
triangle C is not a right-angle triangle
For triangle D:
25 + 25 ≠ 49
triangle D is not a right-angle triangle
For triangle E:
100 = 36 + 64
It is a right-angle triangle.
Thus, triangles A and triangle E is the right angle triangle.
Learn more about a right angle;
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hello pls help me. khan academy sucks
Answer:
straight angle
i think straight angle is right answer
I will give brain list
Answer:
Step-by-step explanation: