Answer:
y=2/3x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-11=2/3(x-6)
y=2/3x-12/3+11
y=2/3x-4+11
y=2/3x+7
what is the value of x ?
a. 10.4
b. 52
c. 61.6
d. 92
A lab currently has 70 mg of radioactive material that decays at 3.5% per year. Federal regulation for the substance says that the material must be safely stored until it reaches its half-life, at which time the material can be disposed.
How many years will the lab have to safely
store the material before disposal?
Answer:
The lab will have to wait 19.45 yers to safely store the material before disposal.
Step-by-step explanation:
Exponential equation for substance decay:
A exponential equation for the amount of a substance after t years is given by:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Decays at 3.5% per year.
This means that [tex]r = 0.035[/tex]
So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]A(t) = A(0)(0.965)^{t}[/tex]
How many years will the lab have to safely store the material before disposal?
It needs to reach half-life, that is, t for which A(t) = 0.5A(0). So
[tex]A(t) = A(0)(0.965)^{t}[/tex]
[tex]0.5A(0) = A(0)(0.965)^{t}[/tex]
[tex](0.965)^t = 0.5[/tex]
[tex]\log{(0.965)^t} = \log{0.5}[/tex]
[tex]t\log{0.965} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.965}}[/tex]
[tex]t = 19.45[/tex]
The lab will have to wait 19.45 yers to safely store the material before disposal.
How do you graph x+6y=0
Answer:
We need to put this equation into either form of a line, pererably, slope intercept form!
Step-by-step explanation:
To do this, out goal is to get y alone.
1. We subtract x on both sides.
2 We divide 6 on both sides.
3. Our answer is y= -x/6 ( negative x divided by 6)
4. The y-intecept value is when x is equal to zero, so plug in 0 for x and solve for y.
5. The y intercept is (0,0)
6. From (0,0) point, you go down -1 and move 1 to the right each time!
The graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To graph this equation, start by rearranging it to solve for y.
y = -x/6
Next, plot a few points to fill in the graph.
when x is 0,
y is 0.
When x is 6,
y is -1, and
when x is -6, y is 1.
Finally, connect the plotted points with a straight line.
The final graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
Hence, graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
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what is the perimeter write your solution
Answer: 88in
Step-by-step explanation:
As he has doubled the sides, the length would now be 24 and the width would be 20.
So then, to work out the perimeter you have to add up all of the sides.
24+24+20+20=88in
Hope this helps :)
In the diagram below, O is circumscribed about quadrilateral ABCD. What is
the value of ?
Answer:
21
Step-by-step explanation:
Trust
The value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.
What is quadrilateral?
It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides.
We have:
In the diagram below, O is circumscribed about quadrilateral ABCD.
In a quadrilateral, the sum of the opposite angles is equal to 180 degree
5x + 75 = 180
5x = 105
x = 21
Thus, the value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.
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Convert 5.5 feet to inches. There are 12 inches in 1 feet.
Answer:
GIVE BRAINLIEST PLZ
Answer:66
Step-by-step explanation:
5.5* 12=66
There you go
a patients dose of medication increased from 100mg to 150mg. What is the percent increase in medication?
Answer:
The answer is 50% increase. Hope this helped!
Step-by-step explanation:
Eric's goal is to walk 2.75 miles to and from the park every day for an entire year. If he meets his goal, how many miles will Eric walk?
Point P on a coordinate plane, located 3 units to the left of the vertical axis and 2 units below the horizontal axis.
A. (–3, –2)
B. (–3, 2)
C. (–2, –3)
D. (–3, –3)
Answer:
A. (-3,-2)follow me pleaseYou are planning to take a group of friends to the movies for your birthday. The local movie theater charges $12.99 per
person. When you check the company's website, you find that they also offer a special group rate. The group rate is only $8.99
per person, but also includes a $20 reservation fee in addition.
What is the minimum number of people that would need to attend your party in order for the group rate to be a better deal?
A
4 people
B)
5 people
Eliminate
6 people
A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag
complete one column of the table with prices where popcorn is priced..... and to be continue
Answer:
The price for a 60-ounce bag of popcorn would be $16
Step-by-step explanation:
Answer:
The price for a 60-ounce bag of popcorn would be $16
Step-by-step explanation:
Function Modeling
The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.
The selection of the model is often a complex decision that involves statistics and data analysis.
The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.
The equation of a line of the volume V and the price p can be found with the expression
We'll use the first two values (6,10) (8,20)
Simplifying and rearranging, we get the model
To test the accuracy of the model, we compute the values of p for V=35 and for V=48
Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60
The price for a 60-ounce bag of popcorn would be $16
Use the formula C = 5 over 9(F - 32) to write 126° F as degrees Celsius, round to the nearest tenth.
Using the coordinate plane shown below, a third point is plotted 5 units to the right of (-4, 4). Where should a fourth point be plotted in order to create a rectangle?
(1, -4)
(1, 4)
(4, -1)
(-4, 1)
Answer:The answer is (1,-4).
Step-by-step explanation: Please mark this brainliest.
5th grade math. Correct answer will be marked brainliest:
Answer:
(6,6)
Step-by-step explanation:
Answer:
(6,6)
Step-by-step explanation:
hope this helps have a great day.
three times the quotient of 3 and 5
Three times the quotient of 3 and 5 is equivalent to 1.8
The question asked us to convert the word problem to equation and solve.
The quotient of 3 and 5 is expressed as 3/5
Taking the product of the result and 3 will give;
Three times the quotient of 3 and 5 = 3 * 3/5
Three times the quotient of 3 and 5 = 9/5 = 1.8
Hence three times the quotient of 3 and 5 is equivalent to 1.8
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help please i’ll give extra points
Answer:
P would be reflected into quadrant 4.
Step-by-step explanation:
Answer:
Quadrant 4
Step-by-step explanation:
The quadrant under P is quadrant 4. Imagine putting a mirror on the x-axis, where would P be? It would be on the fourth quadrant, the quadrant underneath P.
Have a nice day!
What is 0.5 (0.1)(1/2)
Answer:
0.025
Step-by-step explanation:
Write each percentage as a fraction in simplest form.
1. 50% 2. 99% 3. 15%
4. 200%
Answer:
1. 1/2
2. 99/100
3. 3/20
4. 2
Tyrell buys a sandwich for $7 and some cookies that cost $0.75 each. To use his debit card, Tyrell must make a purchase at least $10. how many cookies does he buy
ann and bill share an amount of money in ratio 7:n. Ann gets 28%of the money. workout value of n
How can postulates and theorems relating to similar
and congruent triangles be used to write a proof?
find the distance between the two points
(1, 2), (-3, 5)
Answer:
13
Step-by-step explanation:
if you cannot find the awnser next time try mathaway it gives you the awnser and tells you an explanation.
-7 2/3+(-5 1/2) +8 3/4=
Step-by-step explanation:
Please refer to the attachment
what is log17 60 evaluated?
Answer:
1.77815125038
Step-by-step explanation:
Select the correct answer. The hiking club is getting new T-shirts and will vote to choose the design. Marianna and Chloe are each designing a T-shirt using a computer program. Marianna’s design features an image of the mountains, with the peaks and valleys modeled by function m, where x is the horizontal distance, in inches, from the left edge of the design. Chloe’s design also features an image of the mountains, with the peaks and valleys modeled by function c, where x is the horizontal distance, in inches, from the left edge of the design. Which T-shirt design has the lowest valley floor over the first 6 inches of the design? Both designs have valley floors at the same height over the first 6 inches of the design. Marianna’s design doesn’t have a valley floor over the first 6 inches of the design. Chloe’s design has the lowest valley floor over the first 6 inches of the design. Marianna’s design has the lowest valley floor over the first 6 inches of the design.
Answer:
Step-by-step explanation:
What are the choices
Answer:
mariannas design has the lowest valley floor over the first 6 inches of the design
Step-by-step explanation:
correct.
Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept 2 .
Answer:
Y= -3/2x + 2
If the y-intercept was negative it would be y= -3/2-2
A child gets 1 egg on their
1st birthday. They get 2 on
their 2nd, 3 on their 3rd etc.
How many years will it be
before they have received 91
eggs in total?
Answer:91 years
Step-by-step explanation:
Please help 30 points pls
Answer:
4.75b; 8
Step-by-step explanation:
Area of triangle: height ÷ 2 × base
38 = 9.5 ÷ 2 × b
= 4.75 × b
38 = 4.75b
b = 38 ÷ 4.75
b = 8
Answer:
4.75 & 8
Step-by-step explanation:
Hope this helps
ez math help -thanks
Answer:
use photo math.....
1) -8
2)9
3)18
The Boston Red Sox had 949 runs in their 2004 season. In their 2015 season, they had 748 runs. Find the rate of change in runs.
Answer: -18.27 per year
Step-by-step explanation:
The difference in years is:
= 2015 - 2004
= 11 years
In those 11 years, the runs decreased from 949 to 748.
The total decrease is:
= 949 - 748
= 201 runs
The rate of change is:
= 201 / 11
= 18.27 per year
Since it is reducing, the rate is:
= -18.27 per year