Cesium-137 has a decay constant of 0.0231 (a 30-year half-life). If you start with 15 pounds of cesium-137, how much will still be there 30 years later? Round to the nearest tenth.
Answer:
N = 7.5 pounds
Step-by-step explanation:
Formula for the radioactive decay is given by,
[tex]N=N_0e^{-\lambda t}[/tex]
Here, N = Final amount
N₀ = Initial amount
λ = Decay constant
t = Duration of decay
Now we can substitute the values from the given question,
N = [tex]15e^{-(0.0231\times 30)}[/tex]
N = [tex]15e^{-0.693}[/tex]
N = 15(0.5)
N = 7.5 pounds
Evaluate f(a+4)
pls help me w this !
Please help and please make sure it’s right
Answer:
135 degrees
Step-by-step explanation:
all the angles in a triangle need to add to 180 degrees, so you take
180-(65+70)= 45
Then you just find the supplementary angle
45+x=180
x=135
HI PLEASE HELP IM KINDA CONFUSED WITH KINETIC ENERGY AND POTENTIAL ENERGY ANYONE CAN HELP?
Answer:
P
K
P
K
P
K
Step-by-step explanation:
If it's not moving, it's potential energy
If it's moving, it's kinetic energy
Which of the following expressions is equivalent to 8.8.8.8.8.8?
Answer:
8^6
Step-by-step explanation:
This just means that 8 is being multiplied by itself 6 times
Sierra conducted an experiment. She drew a color tile from a bag, recorded the results, and return the tile to the bag. Out of 100 trials she randomly drew a blue tile 46 times, a red tile 38 times, and a green tile 16 times. What is the experimental probability of drawing a red tile?
Option 1: 4/25
Option 2: 23/50
Option 3: 19/50
Option 4: 16/100
5(
5X
–
10)
=
15 solve it
The value of x for the given equation is [tex]\dfrac{13}{5}[/tex]
What is linear equation in one variable?Linear equation in one variable refers to an equation that can be rearranged in the form [tex]\rm ax + b = c[/tex], where [tex]\rm a \neq 0[/tex]b and c are integers. The equation is solved to determine the value of [tex]\rm x\\[/tex].
Calculations:
[tex]\begin{aligned} 5(5\rm x -10) &= 15\\\\5\rm x - 10 &= \dfrac{15}{5} \\\\5\rm x - 10&= 3\\\\5\rm x &= 3 + 10\\\\5\rm x &= 13\\\\\rm x& = \dfrac{13}{5} \end[/tex]
Therefore, the solution of the equation [tex]5(5\rm x - 10) = 15[/tex] is [tex]\dfrac{13}{5}[/tex].
Learn more about linear equations here:
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What is the equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented
2
y =
5*
X + 2?
ОА
5
y = -x-3
B
5
y=-x +3
2
с
5
Y=2*+7
D
5
y = x-7
Nor
Answer:
B only if
Step-by-step explanation:
If b is 5y=-2x+3
Then its b
Because the slope to be perpendicular it would be -2/5
Last month Eric spent 87.00 dollars on games. This month he only spent $92.00. What
was the percent change?
Answer:
The change was 5.75%, hope that helped.
Step-by-step explanation:
If k(x) = x2 and p(x) = k(x) + n, what is the value of n?
Answer: Value of n is -6
Step-by-step explanation:
If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can start by substituting the function k(x) into the expression for p(x):
p(x) = k(x) + n
p(x) = x^2 + n
We don't have enough information to determine the value of n, but we can set up an equation using some other given information. If we know that p(2) = 5, we can substitute x = 2 and solve for n:
p(2) = 2² + n = 4 + n = 5
n = 5 - 4
n = 1
Therefore,
The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.
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A regulation bowling ball has a diameter of 8.5 inches. What is the volume of the bowling ball?
Answer:
well its a whole
diameter is all the way across so take 8.5 and times it by 3.14 which is 26.69 that is your volume but if you want a more mathematical answer then
1 inch = 2.54 cm
16 oz = 1 lb
28.3 g = 1 oz
volume of a sphere = 4/3pi(r)^3
Step-by-step explanation:
Read carefully and choose the name of the student who made the correct statement ..... HELPPP hurry
The length of a rectangle is three times its width. If the area of the rectangle is 75 yd2 , find its perimeter.
Answer:
40
Step-by-step explanation:
Let x = width, then 3x = length, Area = l x w so,
(3x)(x) = 75
3x2 = 75
x = 5 = width, length = 15
Perimeter = 2l +2w = 10 + 30 = 40
3x+30=180 degrees, what is the value of the letter x in this problem?
Answer:
50
Step-by-step explanation:
180-30=150/3=50
3x + 30 = 180
-30 -30 subtract 30 on both sides, solve for 180 - 30 which is 150.
___________
3x = 150
__ ___ divide 3 on both sides, solve for 150 ÷ 3 which is 50.
3 3
x = 50, final answer
hope this helps! :)
How many cubic units would take to make a model of a recrangular prisim that is 6 units long x 3 units wide x 2 unita high?
Answer:
Step-by-step explanation:
So, you need 24 unit cubes to make a model of the rectangular prism specified
Two freight trains are delivering cargo. One freight train is delivering coal, and the other freight train is delivering grain. Their
respective distances traveled after x hours is represented in the table and graph below.
y
Grain Freight Train
405
360
315
Σ 270
Coal Freight Train
Time Distance Traveled
(Hours) (Miles)
1
48
2
96
3
144
4
192
225
180
135
8 90
45
0 1 2 3 4 5 6 7 8 9 ►
Time (Hours)
Which freight train is traveling at a faster speed?
OA. Both freight trains are traveling at the same speed.
ОВ.
The coal freight train is traveling at a faster speed.
C.
The grain freight train is traveling at a faster speed.
OD
There is not enough information to determine the speed of the trains.
Answer:
The coal freight train is traveling at a faster speed.
Step-by-step explanation:
The complete question is attached.
Both trains delivery can be represented using coordinates, where y represent the distance traveled and x represent the hours.
For the coal freight train, we can take two points. Let us use (1, 49) and (3, 147). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-49=\frac{147-49}{3-1} (x-1)\\\\y-49=49(x-1)\\\\y=49x[/tex]
For the grain freight train, we can take two points. Let us use (0, 0) and (3, 135). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{135-0}{3-0} (x-0)\\\\y=45x[/tex]
Since the coal freight train has a slope (49) higher than the grain freight train (45), hence the coal freight train travels faster
In triangle ABC, the measure of angle CAB is 80° and the measure of angle ABC is 45.5°. What is the measure of angle BCA in degrees? A 125.5°125.5 degrees B 54.5°54.5 degrees C 55.5°55.5 degrees D 64.5°
Answer:
B 54.5°
Step-by-step explanation:
Since we have a triangle,
CAB + ABC + BCA = 180 (sum of angles in a triangle)
Since CAB = 80° and ABC = 45.5°, substituting these into the equation, we have
80° + 45.5° + BCA = 180°
simplifying, we have
125.5° + BCA = 180°
collecting like terms, we have
BCA = 180° - 125.5°
BCA = 54.5°
So, the answer is B
What is the length of gh here? Please help me, I have a short deadline and I will give the best answer brainliest :)
Answer:
7
Step-by-step explanation:
Answer:
about 7.3 units
Step-by-step explanation:
the short lengths are 2 and 7, so like i explained earlier, 2^2 + 7^7 = x^2
we can simplify this to 53 = x^2, the so x = √53, which is about 7.3.
Which of the following is equivalent to? 19
geometry Find x and y given that the quadrilateral is a parallelogram
Answer:
x = 3
y = 2
Step-by-step explanation:
Opposite side of parallelogram are equal.
-4x + 6 = -6x
-4x = -12x
-x = -3
x = 3
7y + 3 = 12y - 7
-5y = -10
-y = -2
y = 2
PLEASE HELP.
The population of Metropolis was approximately 2,600,000 people in 2000. The population began decreasing at a rate of 1.1% every year after 2000.
Which function models the population of Metropolis x years after 2000?
f(x)=0.989(2,600,000)x
f(x)=2,600,000(1.011)x
f(x)=2,600,000(0.989)x
f(x)=1.011(2,600,000)x
Answer:
The answer is C i just took the test.
Answer:
it's C i just took the test
Step-by-step explanation:
Jack is going to drive from his house to City A without stopping. An equation that determines Jack's distance from City A t hours after leaving his house is D=220-55t. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
Delta Math
The y-intercept represents the distance between city A and house which is 220 units.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have an equation that determines Jack's distance from City A t hours after leaving his house:
D = 220 - 55t
To find the y-intercept plug t = 0
D = 220 units
The y-intercept is (0, 220)
The equation represents the distance as Jack is closer to city A the distance between Jakie and city A is decreasing.
At t = 0
D = 220 units
When Jack is at home the distance between city A and the house is 220 units.
Thus, the y-intercept represents the distance between city A and house which is 220 units.
Learn more about the linear equation here:
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Find the value of X.
Round 3.55 to the nearest tenth.
Answer: 3.6
Step-by-step explanation: if the second number after the decimal point is five or above you would round the first number after the decimal point up.
If ΔABC ≅ ΔDEF by SSS and AB = 5x + 6 and DE = 3x +10, then what must be the value of x?
Answer:
ab=de corresponding side of the congruent triangle are equal
5x+6=3x+10
5x-3x=10-6
2x=4
x=4/2=2
2 is your answer
Craig bought a 3-foot long baguette, and then made 4 equally sized sandwiches with it. What portion of the baguette was used for each sandwich? (A baguette is a long roll. Are you splitting the baguette into sandwiches or are you splitting the sandwiches into baguettes?) 1 point
Answer:
1/4 of the baguette was used for each sandwich, or 3/4 ft of it.
Step-by-step explanation:
A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm.
Calculate the approximate volume of the cylinder. Use 3.14 for pi. Do not include units.
Answer:
12rhehrhehrhjnehrhrhehrhehehrrhrjejejej
Answer:
Step-by-step explanation:
Use 3.14 for the pi DO NOT INCLUDE UNITS
The function y = -16t+^2 40 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how many seconds does the water droplet hit the ground? Round your answer to two decimal places.
Answer:
The water droplet will hit the ground 1.58 seconds after it started falling.
Step-by-step explanation:
The function:
y = -16*t^2 + 40
represents the height of a water droplet t seconds after falling from an icicle.
We want to find the value of t such that the water droplet hits the ground, and this will happen when y = 0.
Then we only need to solve the equation:
0 = y = -16*t^2 + 40
0 = -16*t^2 + 40
16*t^2 = 40
t^2 = 40/16
t = √(40/16) = 1.58
The water droplet will hit the ground 1.58 seconds after it started falling.
I don’t understand please help
Answer:C the number of brushes
Step-by-step explanation:
Z represents the number of brushes, which if it’s 0 it means you’ve not purchased any.
What is the probability that they both choose a card labelled dog?