Answer:
The average rate of change in grams from day 4 to day 7 is approximately 0.11 grams/day
Step-by-step explanation:
The table for the radioactivity in iodine-131 can be presented as follows;
[tex]{}[/tex] [tex]{}[/tex]Radioactivity in iodine-131
Grams [tex]{}[/tex] Day
1.83 [tex]{}[/tex] 1
1.68 [tex]{}[/tex] 2
1.54 [tex]{}[/tex] 3
1.41 [tex]{}[/tex] 4
1.30 [tex]{}[/tex] 5
1.19 [tex]{}[/tex] 6
1.09 [tex]{}[/tex] 7
1.00 [tex]{}[/tex] 8
The average rate of change in grams from day 4 to day 7 is given as follows;
[tex]The \ rate \ of \ change \ from \ day \ 4 \ to \ day \ 7 = \dfrac{F(7) - F(4) }{7 - 4} = \dfrac{1.09 - 1.41 }{7 - 4} =-\dfrac{8}{75}[/tex]
The average rate of change in grams from day 4 to day 7 = -8/75 ≈ 0.11 g/day
The average rate of change in grams from day 4 to day 7 ≈ 0.11 grams/day rounded to the tenths place.
The average rate of change in grams per day from day 4 to day 7 is 0.11.
Calculation of the average rate of change:Radioactivity in iodine-131
Grams Day
1.83 1
1.68 2
1.54 3
1.41 4
1.30 5
1.19 6
1.09 7
1.00 8
Now the average rate should be
= F(7) - F(4) \ 7 - 4
= 1.09-1.41 \3
= -8\75
= 0.11
hence, The average rate of change in grams per day from day 4 to day 7 is 0.11.
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a cube with side lengths s has a volume of 64 cubic units. what is the length of the side of the cube?
Answer:
4 units
Step-by-step explanation:
volume of cube = 64 cubic units
[tex] \therefore \: {s}^{3} = 64 \\ \\ \therefore \: {s}^{3} = {4}^{3} \\ \\ \therefore \: {s}= {4} \: units [/tex]
Evaluate −5x+8 when x=3.
Answer:
plug in x
-5 (3) + 8
15 + 8
23
Step-by-step explanation:
The solution of the equation is x= 0.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given, equation;
-5x + 8
Now to solve the equation when x = 3
Substituting the value of x to the equation,
-5x + 8 = -5 (3) + 8 = 0
Therefore, the solution of the equation is x= 0.
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Helen borrowed $8,000 from her grandfather to pay for college. Five years later, she paid him back the $8,000 and an interest of $1,200. What was the annual interest rate?
Answer:
3%
Step-by-step explanation:
No explanation
round to the nearst tenth if needed 55.2 divided by 46
Answer:
1.2 is the correct answer when you divide 55.2 by 46
Step-by-step explanation:
3.4 x 10^3 in standard notation
Answer:3400
Step-by-step explanation:
Answer:
3240
Step-by-step explanation:
3.24
×
10
3
=
3.24
×
1000
This means you move the decimal spot 3 digit spaces to the right.
Count 3 spaces:
3.2.4.0 →
3240
So then your number becomes
3240
will make brainllest plz nobody who doesn't know how to solve these answer.
show work
2,4,6,8,10
assig 9
Step-by-step explanation:
its to much but i solved only 2 i hoped i help
What is the measure of ∠AOB?
90°
80°
180°
40°
Answer:
ok I think 40 degrees is alternate to a1° then I think that all the angles are right angled because of their shape so I think it's 90°
Answer:
90
Step-by-step explanation:
i just took the quiz
654x67
Quien me ayuda please
Answer: 43818
Step-by-step explanation:
¡Esta es la respuesta, espero que haya ayudado!
A catering business specializes in catering wedding receptions. They charge $400 for setting up the buffet and an additional $7.50 per guest. Mr. and Mrs. Smith want to spend no more than $1600 on the catering. Write and solve an inequality to determine the number of guests that can be invited to the reception.
Answer:
x<=160Step-by-step explanation:
Step one:
given data
Charges= $400
Additional charges= $7.5 per guest
let the number of guests be x
let the total cost be y
the model for the situation is given as
y=mx+C
Step two:
given that y=1600
we can solve for x as
1600=7.5x+400
1600-400=7.5x
1200=7.5x
divide both sides by 7.5 we have
x=1200/7.5
x=160
Therefore the expected guest should not be more than 160
x<=160
Complete the table of values for the following :)
Answer:
Step-by-step explanation:
So step one
1. Master all the values
2. given the value 2x+ y=4
then
look at missing gap and it is in the area of y
so, 2x + y =4
2x -1 + y = 4
-2 +y = 4 (so in the next step the-2 will move
y =4 +2 to the right and then turn positive.)
y =2
So this is the first answer of the first gap
then
2x + y = 4
2 x 2 + y = 4
4 + y = 4 (So we use the same step as the one before and move 4 to
y = 4-4 the other side and then turn negative.)
y = 0
(we are going well and we are left with only one more)
2x + y = 4
2 x 4 + y =4
8 + y = 4 (you know what to do in the next step)
y = 4-8
y = -4
Can someone help me with this please???
Step-by-step explanation:
hope this could help you!!! Good luck!!
1. Complete the statements to describe ratios.
A ratio is a
of two quantities.
A ratio can be expressed as a
description, with a
or as a
Answer:
whats the question you need to answer this
PLEASE HELP MEEEEEE I WILL GIVE ALOT OF BRAINLIST
Answer:
with what
Step-by-step explanation:
we cant help u if we dont onow what it is
Answer:
How do i help?
Step-by-step explanation:
n-6= -2
One step equations
Answer:
4
Step-by-step explanation:
i need this asap please and i’ll give you brainliest
Find an equation for the line below:
the slope will be positive cuz the line goes / as it goes right.
rise/run = slope
slope = 6/4 = 3/2
y = 3/2 + b
b is the y intercept
y = 3/2x - 3.5
hope this helps
if AB=n87 BC=46 x 6 and AC=n92-182 what is n
Answer:
54v43jn-tjd
Step-by-step explanation:
ruxulc
cufy
f gf
f cvhjiy g
fhg k
=54v43jn-tjd
what is the answer/explanation for this question
There is no question stated
9. During the past week, Mr. Hamilton gave one quiz and one exam to his high school algebra class.
It takes Mr. Hamilton of an hour to grade one student's exam and of an hour to grade one
student's quiz. If x represents the number of students that took the quiz and exam, which
equation below could be used to find the y, the total amount of time, in hours, spent grading?
a) y = 6x
b) y = -X
45
c) y = -x
101
d) y = x
Missing Information:
It takes Mr. Hamilton 1/15 of an hour to grade one student’s exam and 1/30 of an hour to grade one student’s quiz.
Answer:
[tex]Total\ Time = \frac{x}{10}[/tex]
Step-by-step explanation:
Given
[tex]Exam = \frac{1}{15}hr[/tex]
[tex]Quiz = \frac{1}{30}hr[/tex]
Required
Determine the time spent on x students
First, we need to determine the total time spent on 1 student
[tex]Time = Exam + Quiz[/tex]
[tex]Time = \frac{1}{15} + \frac{1}{30}[/tex]
Take LCM
[tex]Time = \frac{2 + 1}{30}[/tex]
[tex]Time = \frac{3}{30}[/tex]
[tex]Time = \frac{1}{10}[/tex]
Next is to determine the total time on x students:
[tex]Total\ Time = \frac{1}{10} * x[/tex]
[tex]Total\ Time = \frac{x}{10}[/tex]
Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y.
A. X= 23.y=413
B. 1 = 3, y = 613
C. = 6/3, y = 12
D. x= 23, y = 6
Answer:
x = [tex]2\sqrt{3}[/tex] , y = [tex]4\sqrt{3}[/tex] ⇒ A
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its three sides
The length of the side opposite to the angle of measure 30° is half the length of the hypotenuseThe length of the side opposite to the angle of measure 60° is half the length of the hypotenuse times [tex]\sqrt{3}[/tex]→ 30° : 60° : 90°
→ 1 : [tex]\sqrt{3}[/tex] : 2
In the given figure
∵ The length of the hypotenuse is y
∵ The length of the side opposite to the angle of measure 30° is x
∵ The length of the side opposite to the angle of measure 60° is 6
→ By using the ratio above
→ 30° : 60° : 90°
→ 1 : [tex]\sqrt{3}[/tex] : 2
→ x : 6 : y
→ By using cross multiplication
∵ x × [tex]\sqrt{3}[/tex] = 1 × 6
∴ x [tex]\sqrt{3}[/tex] = 6
→ Divide both sides by [tex]\sqrt{3}[/tex]
∴ x = [tex]\frac{6}{\sqrt{3}}[/tex]
→ Simplify it by multiplying up and down by [tex]\sqrt{3}[/tex]
∴ x = [tex]\frac{6\sqrt{3}}{3}=2\sqrt{3}[/tex]
∴ x = [tex]2\sqrt{3}[/tex]
∵ y × [tex]\sqrt{3}[/tex] = 6 × 2
∴ y [tex]\sqrt{3}[/tex] = 12
→ Divide both sides by [tex]\sqrt{3}[/tex]
∴ y = [tex]\frac{12}{\sqrt{3}}[/tex]
→ Simplify it by multiplying up and down by [tex]\sqrt{3}[/tex]
∴ y = [tex]\frac{12\sqrt{3}}{3}=4\sqrt{3}[/tex]
∴ y = [tex]4\sqrt{3}[/tex]
ben plays basketball every 6 times in 3 weeks. At this rate, how many times does he play basketball in 10 weeks
Answer:
6 time 2 is equal to 9 week then u do 6 divided by 3 to find one week then add it~
Step-by-step explanation:
As a result, Ben will play basketball 20 times in 10 weeks.
What is simplification?
A mathematical expression is simplified when it is translated into an equivalent, often shorter statement. Procedure simplification is one way to promote consistency in work effort, cost, and duration. It removes diversity and variation that is harmful, ineffective, or unnecessary.
Given, ben plays basketball every 6 times in 3 weeks.
Since,
Ben plays basketball for 3 weeks = 6 times
Ben plays basketball for 1 weeks = 6/ 3 = 2 times
Ben plays basketball for 10 weeks = 2 *10 = 20 times
Therefore, Ben play 20 times basketball in 10 weeks.
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I need help on how to find the radius
Answer:
7
Step-by-step explanation:
the radius is just half of that!
Simplify (26+1)(2b+11) =
Answer:
54b + 297
Step-by-step explanation:
(26 + 1) (2b + 11)
(27) (2b + 11)
54b + 297
Answer:
if it's a answer choice B
Step-by-step explanation:
What is 25% of 80?
x=2
x=75
x=20
Answer:
X=20
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
.25 times 80 (of means to multiply)
Select the correct answer.
Devon’s job is to determine appropriate insurance premiums based on levels of risk. What is Devon’s job title?
A.
actuary
B.
adjuster
C.
broker
D.
underwriter
Answer:
Devon is an Actuary
Step-by-step explanation:
We want to select which of the job titles appropriately describes what Devon's job is.
The correct answer in this case is that Devon is an actuary.
To drive this home, we might need to understand who an actuary is.
Primarily, an actuary makes use of mathematical formulations to determine the appropriate risk levels as concern premiums.
So in this case, Devon works as an actuary
Answer:
Devon is an actuary
Step-by-step explanation:
plato
Which statement BEST explains why the number 52√ is irrational? A The product of a positive integer and an irrational number is irrational. B The result of squaring 52√ is not a rational number. C The number 5 is not divisible by 2. D The product of an odd number and the square root of an even number is irrational.
Answer:
A. The product of a positive integer and an irrational number is irrational.
Step-by-step explanation:
Which statement BEST explains why the number 5√2 is irrational.
Irrational numbers are numbers that cannot be expressed as the ratio of two integers i.e. it cannot be expressed in the form of a/b where a, b are integers and b ≠ 0.
Irrational numbers are neither terminating nor recurring. Examples of these numbers are π, √2, √5
The number 5√2 contains 5 an integer and √2 an irrational number. The product of a positive integer and an irrational number is irrational.
please help!! 20 pts!!
Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.
Answer:
y=0x+7
Step-by-step explanation:
Tell whether the root of the word below is locked or free,
madness
1.locked
2.free
Help me please
Answer:
free
Step-by-step explanation:
help me with this geooo
Answer:
If angle A is not acute, then the m angle A is not equal to 20
(3rd choice)
⚠️⚠️ HELP ASAP MARKING BRAINLIEST ⚠️⚠️
I will be forever gratefullllajanaamsms smaka
Answer:
slope is 2 and y intercepts at (0,3)
need help, plz answer
Answer:
55 r5
Step-by-step explanation:
Answer:
390/7=55 with a remainder of 5.
Step-by-step explanation:
we can get this answer by subtracting fifty-five sevens from three-hundred ninty.
390-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7=5
