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Complete Question
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg³. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = ab^x, where f(x) represents the bone density after x years?
Answer:
a = 1500
b = 0.97
f(x) = ab^x
f(x) = 1500(0.97)^x
f(x) = 1500 × 0.97^x
Step-by-step explanation:
We are to find a and b
This question has to do with exponential decay.
This is written as
y = a(1 - r)^x
f(x) = ab^x
r = rate of exponential decay
f(x) = y
a = a
b^x = (1 - r)^x
a = current bone density of the patient = 1500kg/m³
b = (1 - r)
r = 3% = 0.03
b = (1 - 0.03)
b = 0.97
Therefore,
a = 1500
b = 0.97
Hence:
f(x) = ab^x
f(x) = 1500(0.97)^x
f(x) = 1500 × 0.97^x
Help AsAp
i dont get It
:(
Answer:
(0.0)
(1,2.75)
A line that goes through the origin represents a proportional relationship. Since the line passes through zero-zero, it means that the relationship between the number of notebooks and the cost is proportional The unit rate is represented by the point one-y. The point one, two and seventy-five hundredths represents the unit rate, which means each notebook costs two dollars and seventy-five cents.
Answer:
(0.0)
(1,2.75)
A line that goes through the origin represents a proportional relationship. Since the line passes through zero-zero, it means that the relationship between the number of notebooks and the cost is proportional The unit rate is represented by the point one-y. The point one, two and seventy-five hundredths represents the unit rate, which means each notebook costs two dollars and seventy-five cents.
Step-by-step explanation Hi angry pomerian
What is the y-intercept of the line that passes through the points (2, -1) and
(-3, 9)?
Answer:
the y intercept is (0, 3)
Step-by-step explanation:
y = mx + c
where m is the slope and c is the y-intercept
[tex]m = \frac{y_2 - y_1}{x_2 - x_1 }[/tex]
[tex]m = \frac{9 - -1}{-3 - 2 }[/tex]
[tex]m = \frac{10}{-5}[/tex]
[tex]m = -2[/tex]
hence, y = -2x + c
input a pair of values, in this case i will use (2, -1)
-1 = -2(2) + c
-1 = -4 + c
-1 + 4 = c
3 = c
Find the median of the set of numbers: 100, 200, 450, 29, 1029, 300 and 2001.
Answer: The median is: 300
Hope this helped!
At the end of a basketball game, Michael’s coach tells him that he scored 25% of all of his team’s points. If Michael scored 16 points, exactly how many points did his team score?
Answer:
25% of all points is 16. So 16 is 1/4. Multiply 16 by 4 and then total points is 64
The science club went on a two-day field trip. On the first day, the members paid $60 for transportation plus $15 per ticket to the planetarium. On the second day, they paid $95 for transportation plus $12 per ticket to the geology museum. Write an expression to represent the cost for two days for the "n" members of the club.
Answer:
Total cost for two days for the n members of the club = 155 + 27 n
Step-by-step explanation:
Answer:
155
60+95=155. you have to take day one and add day 2 and there is your answer
please tell me the answer
Answer:
-3, 1, 5
Step-by-step explanation:
3. Three of the following statements are true.
Which one is NOT true?
1-12] > 1
10> -4
120 >1-101
61-3
Answer:
The correct answer is A or option 1
What is the solution to the system of equations below Y = 1/2 X +6 and Y = -3/4 X -4
Answer:
x = -8, y = 2, or (-8,2)
Step-by-step explanation:
Hope it helps
Question 25
2 pts
Seth's father is thinking of buying his son a summer movie pass for $30 dollars.
With the pass, matinees cost $3 each. Without the pass each movie is normally
$8. If Seth plans to go to 30 movies this summer how much money would he
save? ONLY PUT THE NUMBER, NO DOLLAR SIGN.
Answer:
120
Step-by-step explanation:
First, you have to calculate the money that Seth would spent if he goes to 30 movies if his father gets the summer movie pass by adding up the cost of the pass plus the result of multiplying the cost per movie with the pass for the number of movies:
30+(3*30)=30+90=120
Second, you need to calculate the money that Seth would spent if he goes to 30 movies without the pass by multiplying the normal price per movie for the number of movies:
8*30=240
Third, you need to find the difference between both costs:
240-120=120
According to this, the answer is that if Seth plans to go to 30 movies this summer, he would save 120.
Help meee ASAP!!!! Pls
Answer:
2/5
Step-by-step explanation:
I found two point and counted the Y change and the X change. Rise over run.
Answer:
4/10 is the slope and the y intercept is 3
Step-by-step explanation:
Find the product of the binomials,
(x - 3)(x + 2) (x + 4) =
Answer:
Step-by-step explanation:
(x - 3)(x + 2) (x + 4) =
x^3+3x^2-10x-24
Answer:
x^3+3x^2-10x-24
Step-by-step explanation:
(x - 3)(x + 2) (x + 4)
multiply the first two together first
(x^2+2x-3x-6)(x+4) add like terms first
(x^2-x-6)(x+4)
then multiply
x^3+4x^2-x^2-4x-6x-24
add like terms
x^3+3x^2-10x-24
logbase2 ²/log base 2 ⁴
Answer:
Please use LaTeX I Assure you it is great
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{log 2^{2} }{log 2^{4} } =\frac{2 log ~2}{4 log~2} =\frac{2}{4} =\frac{1}{2}[/tex]
Which of the following is equivalent to logb sqrt 57/74
Which angles are vertical angles?
I think NOQ POL.................................
What is the point-slope form of an equation for a line that passes through the point (5, –5) with the slope of 2?
Answer:
y-5=2(x+5)
Step-by-step explanation:
Please answer this question
Answer:
5 units right and 3 units up
Step-by-step explanation:
A shift 5 units to the right, and then a shift 3 units up.
k = +3
+k shifts function up; -k shifts function down,so 3 units up
h = -5
x+h shifts function left; x-h shifts function right, so 5 units right
In triangle ABC, the measure of angle A is 48° and the measure of angle C is 24°. What type of triangle is triangle ABC?
Answer:108 degrees
Step-by-step explanation:
Answer:
Scalene triangle
Step-by-step explanation:
24+48= 72
180-72=108
All three angles are different meaning that the triangle must be a scalene triangle.
sandy is having a thanksgiving feast for her family of 24. she is deciding between these two options. Help please which one is better and why . Due in three hours!!!
Answer:
option b
Step-by-step explanation:
Show that x + y : x - y= 3 : 2
Answer:
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
Step-by-step explanation:
Given
x + y : x - y = 3 : 2
As
[tex]x + y = 3[/tex]
[tex]x - y = 2[/tex]
Solving to find x and y
[tex]\begin{bmatrix}x+y=3\\ x-y=2\end{bmatrix}[/tex]
[tex]x-y=2[/tex]
[tex]-[/tex]
[tex]\underline{x+y=3}[/tex]
[tex]-2y=-1[/tex]
[tex]\begin{bmatrix}x+y=3\\ -2y=-1\end{bmatrix}[/tex]
solve for y
[tex]-2y=-1[/tex]
Divide both sides by 2
[tex]\frac{-2y}{-2}=\frac{-1}{-2}[/tex]
[tex]y=\frac{1}{2}[/tex]
[tex]\mathrm{For\:}x+y=3\mathrm{\:plug\:in\:}y=\frac{1}{2}[/tex]
[tex]x+\frac{1}{2}=3[/tex]
[tex]x+\frac{1}{2}-\frac{1}{2}=3-\frac{1}{2}[/tex]
[tex]x=\frac{5}{2}[/tex]
so
[tex]x=\frac{5}{2},\:y=\frac{1}{2}[/tex]
Thus,
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
Someone help me please!!
Answer:
( h − 4 ) ( h + 12 )
Step-by-step explanation:
I'm not even sure if this helps but it factored
(a2 - b2)/(2 + d3)
a=6
b=4
d= 1 over 2
one of the answers is
A. 28.17
B. 13.18
C. 28.47
D. 10.125
E. 1.975
F. 9.4118
Answer:
28.47
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
Given
[tex]\frac{a^2-b^2}{2+d^3}[/tex] ← substitute given values into the expression
= [tex]\frac{6^2-4^2}{2+(\frac{1}{2}) ^{3} }[/tex]
= [tex]\frac{36-16}{2+\frac{1}{8} }[/tex]
= [tex]\frac{20}{\frac{17}{8} }[/tex]
= [tex]\frac{20}{2.125}[/tex]
≈ 9.4118 ( to 4 dec. places ) → F
HELP ASAP WILL GIVE BRAINLIEST
Answer:
right triangles only
Step-by-step explanation:
Bonus (3 points)
Graph the parabola using the indicated information (you may NOT use decimals) You must show all work to
receive credit.
y = 2^2 + 17x +30
a. equation of the axis of symmetry
b. coordinates of the vertex
c. calculate the coordinates of the x-intercepts
Answer:
c
Step-by-step explanation:
The graph of a system of equations is shown.
What is the solution to the system of equations in the graph?
Please Help
Answer:
66
Step-by-step explanation:
because if you ad 60 and 6 it makes yes
75 000 in standard form
Answer:
7.5×10^4
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Hope this helps <3
Answer: 7.5
Step-by-step explanation:
Graph this function using intercepts:
18x–42y=1,260
Answer: 260 on graph
Step-by-step explanation: 18x - 42y = 1
Which equation describes the same line as y-5=-2(x+4)
Answer:
y= -2x-3
Step-by-step explanation:
y-5 = -2x-8
y = -2x-8+5
y = -2x-3
Line A has a slope of -4/3 and line B has a slope of -3/4. Are both lines perpendicular?
Answer:
no they are not
Step-by-step explanation:
Answer:
Yes, they are perpendicular to each other.
Step-by-step explanation:
If lines are corresponding in any way, they are automatically perpendicular. These lines are corresponding to each other when switching the x and y values.
Feel free to give brainliest.
Have an excellent day!
A formal proof uses all of the following components except what?
A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules
Answer:
D.) algebra rules
Step-by-step explanation:
Had it on the quiz
what does 28-8 represent?
Step-by-step explanation:
subtraction if that wut u askim