Answer:
231.59 years
Step-by-step explanation:
To model this situation we are going to use the exponential decay function:
f(t)= a (1-b)^t
where f(t) is the final amount remaining after t years of decay
a is the final amount
b is the decay rate in decimal form
t is the time in years
For Substance A:
Since we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
r = 0.15/100 = 0.0015. Replacing the values in our function:
f(t) = a (1-b)^t
f(t) = 300 (1-0.0015)^t
f(t) = 300 (0.9985)^t equation (1)
For Substance B:
Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
r=0.37/100= 0.0037. Replacing the values in our function:
f(t) = a (1-b)^t
f(t)= 500 (1-0.0037)^t
f(t)=500(0.9963)^t equation (2)
Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:
M=300(0.9985)^t equation (1)
M=500(0.9963)^t equation (2)
We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :
{M=300(0.9985)^t
{M=500(0.9963)^t
Help me with this please ASAP
Answer:
Hi, there your answer is [tex]8x^{6}[/tex]
Step-by-step explanation:
4*x^3*2*x^3
=8*x^6
Hope this helps :)
PLZ MARK ME BRAINIIEST :) the crown thingy if you don't know what it is
22
Consider the expression below.
3x - (2y + 2)
Evaluate the expression when x = 0.02, y = 0.1, and z = 0.3.
NEED HELP ASAP HELPING A FRIEND
Answer:
Step-by-step explanation:
So it 22
Answer: 0.007
Step-by-step explanation:
Find the value of x please and fast!!
Answer:
B) 5
Step-by-step explanation:
To serve 1 person at a local restaurant, it takes 10 minutes. To sene 5 people, it takes 18 minutes. Write and solve an equation to find the number it will take to serve a party of 8.
Answer:8x5=10-x
Step-by-step explanation:
Evaluate f(x) = 2|x – 5| for f(–5) and f(0).
f(–5) = –20, f(0) = –2
f(–5) = 10, f(0) = 0
f(–5) = 20, f(0) = 10
f(–5) = 12, f(0) = 5
Answer:
f(–5) = 20, f(0) = 10
Step-by-step explanation:
f(-5):
f(-5) = 2|-5 -5|
f(-5) = 2|-10|
f(-5) = 2(10)
f(-5) = 20
f(0):
f(0) = 2|0 - 5|
f(0) = 2|-5|
f(0) = 2(5)
f(0) = 10
Simon bought a 10-pound bag of cat food. He gives his cat 0.3 pound of food per day. Which equation with two variables to describe how the amount of cat food in the bag changes over time.
Answer:
y = 10 - 0.3t
Step-by-step explanation:
Amount of cat food purchased= 10 pounds
Daily pounds fed to dog = 0.3 pounds
How the amount of cat food in bag changes over time ;
Let y = amount of cat food left in bag
t = number of days since cat food was purchased
Amount of cat food left in bag = amount of cat food purchased - (daily pounds fed to dog * Number of days since cat food was purchased)
y = 10 - 0.3t
A NO PASSING ZONE road sign has the shape of an
isosceles triangle with angle measures shown. Write
and solve an equation to determine the value of x.
Round to the nearest tenth.
(3.25x)"
NO
PASSING
ZONE
*50*
X=
Answer:
15.38
Step-by-step explanation:
two angles are equal
3.25x=50
x= 15.38461538461
PLEASE HELP ME ON THIS QUESTION ASAP!!!! NO LINKS
Answer:
4π in.
Step-by-step explanation:
formula circumference= 2πr
r = half of diameter
If the acceleration is 600m/s/s and the mass is 300kg, calculate the force? *
Answer:
600 m/s2 ×300 kg = 180000 kg.m/s2
Answer:
180000Kgm/s2
Step-by-step explanation:
Force is the product of mass and acceleration. So F=MA
F=600 x 300
F=180000
If anyone is really good at math please hmu ASAP.
Answer:
Same I'll help you all if you guys try to help me with my recent question.
Step-by-step explanation:
amelia machine changes one red token into three white tokens and one white token into two red tokens. amelia has three red tokens and one white token. she uses the machine three times what is the smallest number of tokens she can end up with?
WHOEVER ANSWERS FIRST GETS BRAINLIEST BUT IT MUST BE CORRECT'
$17.40 is 120% of what price?
the cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 77 people?
Answer:
equation: y=15x+95
it would cost $1250
Answer:
f(x) = 95 + 15x
Cost for 77 people = $1250
Step-by-step explanation:
15 x 77 = 1155
1155 + 95 = 1250
Please help me, will mark brainliest
Answer:
EThir 83 or 180
Step-by-step explanation:
Which of the following examples has a unit rate of 25 feet per second? Select all that apply. A) 100 feet in 4 seconds B) 150 feet in 10 seconds C) 225 feet in 9 seconds D) 275 feet in 11 seconds E) 100 feet in 5 seconds
Answer:
A) C) D)
Step-by-step explanation:
We can simply divide them to find out the answer.
A) 100/4=25
B)150/10=15
C)225/9=25
D)275/11=25
E)100/5=20
What is (4×-5)^2 in polynomial form
Answer:
[tex]4x^2-20x+25[/tex]
Step-by-step explanation:
We start with this expression.
[tex](4x - 5)^2[/tex]
When an expression inside parentheses are squared, we have to take two of the expression and multiply them together. To do this, we need to multiply each part of one expression and multiply it with every part in the other expression.
This means that [tex](4x - 5) (4x - 5)[/tex] would become...
[tex](4x)(4x) = 4x^2\\(-5)(4x) = -20x\\(-5) (-5) = 25[/tex]
Now, we simply need to put all of the terms into one expression.
[tex]4x^2-20x+25[/tex]
Find the area of the figure to the nearest tenth.
165 7 in
Answer:
141.1 in
Step-by-step explanation:
r^2*theta
7^2*165pi/180
141.1
Answer:
Step-by-step explanation:
Haha posting the pics of me again cuz why not
1/10
for me i pick 5/10
Answer:
Step-by-step explanation:
10/10 cause everyone is
Answer:
AA by isaiah rashad
Step-by-step explanation:
good song
I need help can someone help me pls
Answer:
D: 25 miles
Step-by-step explanation:
Pythagorean Theorem:
[tex]a^{2} + b^2 = c^2[/tex]
36^2 + b^2 = 39^2
1,296 + b^2 = 1,521
b^2 = 225
b = 25
please help me I really need help
Answer:
D each number gets divided by four
Step-by-step explanation:
Hope this helps
Can someone please solve this for me
Two parallel lines have same slopes so we need to find the slope of the line which passes through the given points.
Suppose : A = ( - 2 , 7 ) & B = ( 4 , 4 )
Slope = y ( B ) - y ( A ) / x ( B ) - x ( A )
Slope = 4 - 7 / 4 - ( - 2 )
Slope = - 3 / 4 + 2
Slope = - 3 / 6
Slope = - 1 / 2
------------------------------------------------------------
As you know The coefficient of x is the slope of the line in slope-intercept form.
Thus we have to find the option which x has - 1 / 2 as the coefficient .
Look we have that in D so the correct answer is D .
Help me find the value of W
Answer:
what grade is this?
Step-by-step explanation:
True or false
If two figures are similar and one is bigger than the other, the scale factor of bigger to smaller will be the same as the scale factor of smaller to bigger.
Will give brainly
Answer:
False
Step-by-step explanation:
if you are comparing two figures that are similar the scale factor will flip because you are altering the shape from the first shape
Find a formula for a_n (for the geometric sequence), then find the 8th term. Solve for both or one of these questions, thank you so much!
Answer:
2a. aₙ = 12 * -2ⁿ⁻¹; a₈ = -1536
2b. aₙ = 4 * 3ⁿ⁻¹; a₈ = 8748
Step-by-step explanation:
The geometric sequence formula is aₙ = a₁ * rⁿ⁻¹.
2a:
a₈ = 12 * -2⁸⁻¹ {Subtract 1 from 8 to get 7}
a₈ = 12 * -2⁷ {2⁷ is 128. Since the exponent is odd, this will be negative.}
a₈ = 12 * (-128) {Multiply 12 by -128 to get -1536.
a₈ = -1536
2b:
a₈ = 4 * 3⁸⁻¹ {Subtract 1 from 8 to get 7)
a₈ = 4 * 3⁷ {7 is the 3rd number after 4 (a multiple of 4). As a result, this will end in a 7. 3⁷ is 2187.}
a₈ = 4 * 2187 {Multiply 4 by 2187 to get 8748}
a₈ = 8748
2. What is the value of x?
Answer:
x = 5
Step-by-step explanation:
The total degrees in a 4 sided polygon is 360°
360° = 51° + 51° + 2(28x - 11°)
56x - 22° + 51° + 51° = 360°
56x = 280°
x = 5
The volume, V, of any cube with side length, s, can be determined using the formula V = s3 . What is the volume, in cubic centimeters, of a cube with a side length of 0.2 centimeters?
A
3.2
B
0.6
C
0.006
D
0.008
Story is The Crystal Ball Brainliest for correct answers
Answer:
C.
Step-by-step explanation:
Though the story is also about A, B, and D, the overall story is about C. The story begins with the enchanter turning the eldest and second eldest brothers into an Eagle and Whale, though the youngest escapes. He then goes to the castle to free the cursed princess, and to do so he needs to find a crystal ball. If I remember correctly, the ball will also save the brothers.
ITS C
for the iready question it is C youngest brother tryna find the balls, i got it right
Which measures describe the variation on a data set? a. Mean b. Median c. Mode d. MAD e. Interquartile range f. Range
Answer:
e, f
Step-by-step explanation:
A measurement of variability is an overview of the amount of dispersion in a dataset. The measures that can describe the variation on a data set are Range, Interquartile Range, Variance, and Standard Deviation.
So ,The among the given options the e. Interquartile range f. Range
Range of dataset is the difference between the larges and smallest elements in the dataset .
The middle of the data between the upper and lower quartiles are called the inter-quartile range. That means that 50 percent of data points between Q1 and Q3 are included within the interquartile range.
I don’t know how to do that
Answer:
16
Step-by-step explanation:
Divide 64 by 8 to get 8. this is 1/8 of the books.
3/8 were non fiction, or 24
1/4 (2/8) were picture books, or 16
5/8 were non fiction or picture books, so ’the rest‘ of the chapter books is 3/8.
3/8 were chapter books, or 24.
add the amount of picture books and chapter books since they are the fictional texts.
16+24=40
subtract the amount of non fictional books from the amount of fictional books to get the sum.
40-24=16
A 9-foot (ft) ladder and a 4-foot ladder are leaning against a house. The two ladders create angles of the
same measure with the ground. The 4-foot ladder has a height of 3.8 feet against the house.
Help please!!
Answer:
The 9-foot ladder would have a height of 8.55 ft against the house
Step-by-step explanation:
The angles made by the 9-foot ladder and 4-foot ladder that are leaning against the house is 71.8 degrees.
The situation forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonpometric ratios.
Therefore, the 9 foot and the 4 foot ladder forms the same angle.
The 4 foot ladder forms a 3.8 ft height against the wall.
Hence,
sin ∅ = opposite/ hypotenuse
sin ∅ = 3.8 / 4
∅= sin⁻¹ 0.95
∅ = 71.8051276612
∅ = 71.8°
Therefore, the angles made by the 9-foot ladder and 4-foot ladder that are leaning against the house is 71.8 degrees.
learn more on right triangle here: https://brainly.com/question/22894739