Eric starts with 10 milligrams of a radioactive substance. The amount of the substance
decreases by 1 ¿ each week for a number of weeks, w. He writes the expression
10)" to find the amount of radioactive substance remaining after w weeks.
Andrea starts with 1 milligram of a radioactive substance. The amount of the
substance decreases by 20% each week for a number of weeks, w. She writes the
expression (1
0.2)" to find the amount of radioactive substance remaining after W
weeks.
Use the drop-down menus to explain what each part of Eric's and Andrea's
expressions mean.
Answers
Answer:
ok m
Step-by-step explanation:
ok
Answer:
Step-by-step explanation:
Related Questions
38 POINTS FOR THIS
pls answer some of these questions or even all ty
Answers
Answer:
there are no questions
Step-by-step explanation:
but may i still please have a brainliest
if not then it is ok
write the questions in the comments
Answer:
What questions?
I don't see anything
What is the slope of the line?
Answers
Answer:
-2
Step-by-step explanation:
This is an easy way to do it with points
(0,2)
+1 -2
(1,0)
rise/run -2/1= -2
find the centre and radius of the following Cycles 9 x square + 9 y square +27 x + 12 y + 19 equals 0
Answers
Answer:
Radius: [tex]r =\frac{\sqrt {21}}{6}[/tex]
[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]
Step-by-step explanation:
Given
[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]
Solving (a): The radius of the circle
First, we express the equation as:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex]r = radius[/tex]
[tex](h,k) =center[/tex]
So, we have:
[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]
Divide through by 9
[tex]x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0[/tex]
Rewrite as:
[tex]x^2 + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}[/tex]
Group the expression into 2
[tex][x^2 + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}[/tex]
[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]
Next, we complete the square on each group.
For [tex][x^2 + 3x][/tex]
1: Divide the [tex]coefficient\ of\ x\ by\ 2[/tex]
2: Take the [tex]square\ of\ the\ division[/tex]
3: Add this [tex]square\ to\ both\ sides\ of\ the\ equation.[/tex]
So, we have:
[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]
[tex][x^2 + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]
Factorize
[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]
Apply the same to y
[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}[/tex]
Add the fractions
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]
Recall that:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
By comparison:
[tex]r^2 =\frac{7}{12}[/tex]
Take square roots of both sides
[tex]r =\sqrt{\frac{7}{12}}[/tex]
Split
[tex]r =\frac{\sqrt 7}{\sqrt 12}[/tex]
Rationalize
[tex]r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}[/tex]
[tex]r =\frac{\sqrt {84}}{12}[/tex]
[tex]r =\frac{\sqrt {4*21}}{12}[/tex]
[tex]r =\frac{2\sqrt {21}}{12}[/tex]
[tex]r =\frac{\sqrt {21}}{6}[/tex]
Solving (b): The center
Recall that:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex]r = radius[/tex]
[tex](h,k) =center[/tex]
From:
[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]
[tex]-h = \frac{3}{2}[/tex] and [tex]-k = \frac{2}{3}[/tex]
Solve for h and k
[tex]h = -\frac{3}{2}[/tex] and [tex]k = -\frac{2}{3}[/tex]
Hence, the center is:
[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]
LOOK AT THE IMAGE!!!
DO NOT JUST ANSWER FOR POINTS
Answers
Answer:
C) (-3,-1)
Step-by-step explanation:
C) (-3,-1)
Consider function f, where B is a real number.
f(x)=tan(Bx)
Complete the statement describing the transformations to function f as the value of B is changed.
As the value of B increases, the period of the function (remains the same, increases, decreases), and the frequency of the function (remains the same, increases, decreases).
When the value of B is negative, the graph of the function (reflects over the y-axis, remains the same, reflects over the x-axis).
Answers
Using the concept of the tangent function, it is found that:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
---------------------------------
Tangent function:
It is given by:
[tex]f(x) = \tan{Bx}[/tex]
The period is [tex]P = \frac{\pi}{|B|}[/tex].The frequency is [tex]F = \frac{1}{P} = \frac{|B|}{\pi}[/tex].---------------------------------
The period is inversely proportional to B, thus, as B increases, the period decreases.Frequency is inversely proportional to the period, thus, as the period decreases, the frequency increases.When B is negative, we get [tex]f(x) = \tan{-Bx} = f(-x)[/tex], thus, the function is reflected over the y-axis, as the graph at the end of the answer shows, with f(x) is red(B positive) and f(-x) in blue(B negative).---------------------------------
Considering the three bullet points above, the correct option is:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
A similar problem is given at https://brainly.com/question/16828446
Answer:
got it right
Step-by-step explanation:
606 divided by 49 in long division
Answers
Answer:
12 <----
Step-by-step explanation:
the remainder is 18 but the answer is 12 and the full thing would be
------> 6.18367346939
The mathematics faculty at a college consists of 7 professors, 4 associate professors, 4 assistant professors, and 6 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
Answers
Answer:
0.619 = 61.9% probability of choosing a professor or an instructor.
Step-by-step explanation:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
7 + 4 + 4 + 6 = 21 members
7 + 6 = 13 professors or instructors.
Find the probability of choosing a professor or an instructor.
p = 13/21 = 0.619
0.619 = 61.9% probability of choosing a professor or an instructor.
Daria rolls a number cube. What is the probability that it will land on a 1?
Answers
Answer:
1 out of 6 or 16.7%
Step-by-step explanation:
complete the table for the equation
Answers
Answer:
(2,5)
(3,-4)
(4,-7)
(5,-4)
(6,5)
Evaluate the expression. Show work.
2w + 2l when w= 4 and l=6
Answers
Answer:20
Step-by-step explanation:
2(4)+2(6)
8+12=20
Answer: 20
Step-by-step explanation:
Plug in 4 for w and 6 for I.
2(4) + 2(6) = 8 + 12 = 20
HELPPPP ME PLEASEEE
Answers
Answer:
your answer will be 588in²
Step-by-step explanation:
Area=πr²
=π(14)²
=3×(14)²
Area=588in²
hope it helps..
have a great day!!!
hi can I send a screenshot?
Answers
Answer:
Yeah
Step-by-step explanation:
☁️ Answer ☁️
Yes! Send a screenshot and ask ur question
PLS HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.
Write a question that could be answered by solving the equation 10−0.035d=4.
Answers
Answer:
By solving this equation for the variable ' d ', you learn how many days after you fill the tank you'll have to send somebody back to fill it again.
Step-by-step explanation:
olve the Following Inequality Select the possible range of solution to make the Statement True.
-6m < -24
Group of answer choices {Select All That Apply}
1, 2, 3
-1, -2, -3
4, 5, 6
-, 4, -5, -6
Answers
Answer:
We have ,
=> -6m < -24
=> m < -24/-6
=> m < 4
Therefore ,
m € (4,-∞)
A car and a truck left Washington, DC traveling in opposite directions. The car traveled 19 miles per hour faster than the truck, and at the end of 8 hours they were 1048 miles apart. What was the average speed of each vehicle?
100 POINTS
Answers
Answer:
Step-by-step explanation:xmccc
Car travel at x+19
They travel in opposite directions so the separation is (x+x+19) * no. Of the hours
1048 = (2x+19)*8
X= ((1048/8)-19)/2
=56
Truck speed is 56 miles per hour
Car speed is 56+19=75 miles per hour
The function g is given in three equivalent forms.
Which form most quickly reveals the y-intercept?
Choose 1 answer:
g(x) = 3x² + 6x - 9
g(x) = 3(x + 1)² – 12
-
g(x) = 3(x+3)(x - 1)
What is the y-intercept?
y-intercept = (0,
▸
Answers
The form of the function that most quickly reveals the y-intercept is the second form:
[tex]g(x)=[/tex] [tex]3(x+1)^{2} - 12[/tex]
To find the y-intercept, we need to determine the value of g(x) when x is equal to 0. By substituting x = 0 into the function, we have:
[tex]g(0)=3(0+1)^{2} -12[/tex]
[tex]=3(1)^{2} -12[/tex]
[tex]=3-12[/tex]
[tex]=-9.[/tex]
Therefore, the y-intercept is -9. This means that the graph of the function intersects the y-axis at the point (0, -9), where the x-coordinate is 0 and the y-coordinate represents the y-intercept value.
For more questions on function, click on:
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Which describes the correlation shown in the scatterplot?
Answers
Answer:2,4
Step-by-step explanation:
How much Hundreds equal 28?
Answers
Answer:
0.28
Step-by-step explanation:
0.28*100=28
Lodging is $75.00 per night. Find the cost of three nights and 7% sales tax.
Answers
Answer: $240.75
Step-by-step explanation:
Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.
A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH B!!
B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
HELP ME PLEASE WITH B I ALREADY SOLVED A
THANK YOU!!
Answers
Answer:x=18
Step-by-step explanation:
if she deposites 40 every week 40 times 18 is 720 so in 18 weeks she can have a t.V
For the following set of data, find the mean, median and mode.
age of children Danielle babysits:
6,9,2,4,3,6,5
(3 Points)
Mean = 4 years old
Mean = 5 year old
Mean = 9 years old
Mode = 2 years old
Mode = 6 years old
Mode = 9 years old
Median = 4 years old
Median = 4.5 years old
Median = 5 years old
Answers
Mode = 6 what number occurs most often
Median = 5 line them up smallest to highest, whats the middle number?
According to a NY Times article in 2009, the average selling price of an LCD TV was $700. What would be the cost of that same TV in 2016 dollars?
Answers
The prices of products usually fall due to depreciation and the appearance of new technological objects. In this case, the value of the television would lower its price due to the appearance of other technologies such as LED.
How to calculate LCD TV depreciation?To calculate the depreciation of the LCD TV, the year of manufacture, the useful life, the prices of new products (generally better), among others, must be taken into account.
A ballpark figure of 15% is generally used to calculate the depreciation of a television per year. In this case, following this pattern, the television would have a value of:
700 - 105 = 595595 - 89.25 = 505.75505.75 - 75.86 = 429.88429.88 - 64.48 = 365.39365.39 - 54.80 = 310.58310.58 - 46.58 = 263.99263.99 - 39.59 = 224.39Learn more about depreciation in: https://brainly.com/question/15085226
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log (5x) (x)= 7/2
Answers
Answer:
[tex]x = \frac{\sqrt{70} }{10}, - \frac{\sqrt{70} }{10}[/tex]
Pyramid A has a height of 10 feet and a volume of 120 cubic feet. The base of Pyramid B has the same dimensions as Pyramid A but is twice as tall. How is the volume affected by the change in the dimensions? (PLEASE HELP!)
Answers
A volume of a pyramid=base area×height/3
both the bases have same dimensions
pyramid B is twice the height of A
therefore the volume is doubled
Answer:
Pyramid B = 240 cubic feet, the volume doubled
Step-by-step explanation:
Pyramid A: 120/10 =12, 12 x 3 = 36 ft² base
Pyramid B: 36 ft² base x 20 ft tall x 1/3 = 240 cubic feet
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth
Enter your answer in the box.
Answers
Answer:
29.71%
Step-by-step explanation:
The interest rate of the savings account is = 114.3%
Calculation of interest rate percentage of an accountThe start up or principal amount (P) = $181.25
Simple interest after 7 years (SI) = $1450
Time or duration (T) = 7 years
To calculate the rate percentage of interest;
R = SI × 100/P×T
R = 1450 × 100/ 181.25 × 7
R = 145000/1268.75
R = 114.3%
Therefore, the interest rate percentage of the savings account is = 114.3%
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Find the area of the polygon.
Answers
Determine whether the function is periodic. If it is periodic, find the period. f(x)=7sin^3x a. 2pi b. 4pi c. Not periodic d. pi
Answers
The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?
Answers
Answer:
4 pounds
Step-by-step explanation:
GUYS HELP ME PLS. Tina is standing at the bottom of a hill. Matt is standing on the hill so that when Tina's line of sight is
perpendicular to her body, she is looking at Matt's shoes.
a. If Tina's eyes are 5 feet from the ground and 14.5 feet from Matt's shoes, what is the angle of elevation of
the hill to the nearest degree?
Answers
Answer:
71°
Step-by-step explanation:
The angle of elevation of the hill can be obtiaed using trigonometry :
Given
the opposite length = 14.5 feets
Adjacent = 5 feets
The angle of elevation vabnbe obtained using :
Tan θ = opposite / Adjacent
Where θ = angle of elevation
Tan θ = 14.5 / 5
Tan θ = 2.9
θ = tan^-1(2.9)
θ = 70.97 = 71°
A contractor is building a fence around a square garden that has a side length of 3 inches in a scale drawing. The scale factor of the drawing is 1 1/2 inches : 4 feet. If one link of fence measures 2 2/3 feet, shade the correct number of links needed to build a fence around the entire garden
Answers
The number of fences needed to build around the entire garden is 12.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
We have,
Side of the square garden = 3 inches
Scale factor.
1(1/2) inches = 4 feet
3/2 inches = 4 feet
3 inches = 8 feet
Now,
Length of one fence.
= 2(2/3) feet
= 8/3 feet
Now,
The perimeter of the square.
= 4 side
= 4 x 3 inches
= 12 inches
= 4 x 8 feet
= 32 feet
Now,
The number of fences needed to build the fence around the garden.
= 32 ÷ 8/3
= 32 x 3/8
= 12 fences
Thus,
12 fences are needed to cover the entire garden.
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