Answer: [tex]y = 650(0.907)^t[/tex]
This is the same as writing y = 650(0.907)^t
=====================================================
Explanation:
Exponential equations can be of the form y = a*b^t
a = initial amountb = growth or decay factorIn this case, we have
a = 650 mg to start withb = 1 - 0.093 = 0.907 as the decay factorIf we had exponential growth, then we'd compute 1 + 0.093 instead.
Based on those values, we go from y = a*b^t to y = 650(0.907)^t which is the same as writing [tex]y = 650(0.907)^t[/tex]
Other exponential forms are possible, but I think this form is the most intuitive. The 0.907 means that 90.7% of the sample remains after each year.
Zoe walks 13of a mile every 25of an hour.
How many miles does Zoey walk per hour?
Answer:
25/13 miles in an hour
Step-by-step explanation:
So she walks 1/13 mile per 1/25 hour.
To find the miles in an hour, just multiply the 1/25 hour by 25/
1/25 hour * 25 = 1 hour.
1/13 mile * 25 = 25/13 miles in an hour
Find the surface area of the prism. 12 in. 9 in. 3 in. The surface area is in . 2.
(p.s 366 is wrong)
Answer:
The answer is 342 in.^{2}.
26= 7(g-9)+12 What is the value of g. A.g=11 B. g=12 C. g=13 D. g=14
Answer:
A.g=11
Step-by-step explanation:
26=7(g-9)+12
26=7g-63+12
7g=77
g=11
A ball is placed in a machine that throws the ball up in the air. The table represents some points on the graph of a function that models the ball’s distance from the ground with respect to the time since the ball has been thrown. What is the range for this situation? A. All real numbers less than or equal to 7.66 B. All real numbers less than or equal to 1.25 C. All real numbers greater than or equal to 0 and less than or equal to 7.66 D. All real numbers greater than or equal to 0 and less than or equal to 1.25
Using it's concept, it is found that the range for this situation is given by:
C. All real numbers greater than or equal to 0 and less than or equal to 7.66.
What is the range of a function?
The range of a function is the set that contains all possible output values.
In this problem, the output values are the height of the ball, which researching the problem on the internet, is represented by a table in which the minimum height is of 0(when it hits the ground) and the maximum height is of 7.66 feet, hence the correct option is:
C. All real numbers greater than or equal to 0 and less than or equal to 7.66.
More can be learned about the range of a function at https://brainly.com/question/24374080
Find the value of x for the triangle.
The sum of all the angles in a triangle is 180 degrees, so we get the equation:
[tex]55 + 54 + (x + 74) = 180\\x + 183 = 180\\x = -3[/tex]
The value of x is -3.
Hope that helps!
Answer:
(x+74)+55+54=180
x= -3
HELP PLEASE I NEED ANSWER NOW
Answer:B
Step-by-step explanation:
I think it should be B u= -1
00
1
Which number makes the sentence true?
-3,834 = 2,470
OA. 6,304
ОВ.
6,305
OC. 6,314
OD. 1,364
Answer:
The answer for this question is 6,304
two number cubes are rolled. what is the probability of getting a 1 and a 4 in either order
Answer:
1/18
Step-by-step explanation:
Each cube can have 6 outcomes, from 1 to 6.
6 × 6 = 36
The total number of outcomes is 36.
The desired outcomes are only 1, 4 and 4, 1.
There are only 2 desired outcomes.
p(1, 4 or 4, 1) = 2/36 = 1/18
Answer: 1/18
Find the measure of the angle SYX
anyone know the answer?
Answer:
it’s A
Step-by-step explanation:
ur welcome
Bethany went to the dog park with her dog at 12:30 pm she arrived back home at 2:30 pm how long was she at the dog park with her dog?
Answer:
2 hours
Step-by-step explanation:
12:30 + 1 hour = 1:30
1:30 + 1 hour = 2:30
She was at the dog park with her dog for 2 hours.
I need help with my homework
Answer:
1. x= 8√2
2. x = 14 y=14√2
3. x = 18√2 = 9√2
4. x= 18/√2 =9√2
5. x= 8/√2 = 4√2
6. x = 10/√2 i.e 5√√2
Find an equation for the line with slope m= -2/3
and which goes through the point (- 15,8).
Write your answer in the form y = mx + b. DO NOT use decimals as part of your answer... express all parts of
your equation in integer or reduced fraction form.
Answer:
y = -2/3x + 18
Step-by-step explanation:
to find the y intercept you should input the points 15,8
sooo
8 = -2/3(15) + b
8 = -10 + b
b = 18
HELP ME OUT PLS!!!!!
x= 105°
y= 75°
z= 105°
The sum of the measures of two angles is 127.6º. One angle has a measure of 63º. What is the measure of the second angle?
How many ninth does it take to make the same amount as one third
Answer:
3
Step-by-step explanation:
you have 1/3, to find out how many ninths you have, you must multiply the denominator by three (because 3*3=9). whatever you multiply on the bottom you must multiply on the top (if you don't do that then it's not the same as 1/3 anymore)
therefore 1/3 == (1*3)/(3*3) == 3/9
if you want to know how many twelves it was then you multiply by 4 to get 12 on the bottom:
1/3 == (1*4)/(3*4) == 4/12
therefore 1/3 == 3/9 == 4/12. they are all the same fraction
Choose the number equal to: -9 • (-1/3) A) -27 B) -3 C) 3 D) 27
Use the Pythagorean Theorem to find the distance between (-3, 4) and (6, 1). Show all calculations.
Answer:
9.48683
Step-by-step explanation:
using the formula:
d = √((x2-x1)2 + (y2-y1)2)Find the difference between coordinates:
(x2-x1) = (6 - -3) = 9
(y2-y1) = (1 - 4) = -3
Square the results and sum them up:
(9)2 + (-3)2 = 81 + 9 = 90
Now Find the square root and that's your result:
Exact solution: √90 = 3√10
Approximate solution: 9.4868
I NEED HELPPPPPPLLLPLEASE
Step-by-step explanation:
variability = larger range
can you put your answer below
not sure how to solve this equation pls help out
Answer:
your answer is right
Step-by-step explanation:
I took the test
integral of x/(x + 1)²(x+2)²
I suppose you mean the integral
[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx[/tex]
Break up the integrand into partial fractions:
[tex]\dfrac{x}{(x+1)^2 (x+2)^2} = \dfrac{a}{x+1} + \dfrac{b}{(x+1)^2} + \dfrac{c}{x+2} + \dfrac{d}{(x+2)^2}[/tex]
[tex]\dfrac{x}{(x+1)^2 (x+2)^2} \\ = \dfrac{a(x+1)(x+2)^2 + b(x+2)^2 + c(x+1)^2(x+2) + d(x+1)^2}{(x+1)^2 (x+2)^2}[/tex]
[tex]\dfrac{x}{(x+1)^2 (x+2)^2} \\ = \dfrac{(a+c)x^3+(5a+b+4c+d)x^2+(8a+4b+5c+2d)x + 4a+4b+2c+d}{(x+1)^2(x+2)^2}[/tex]
[tex]x = (a+c)x^3+(5a+b+4c+d)x^2+(8a+4b+5c+2d)x + 4a+4b+2c+d[/tex]
Solve for the coefficients:
[tex]\begin{cases}a+c=0 \\ 5a+b+4c+d=0 \\ 8a+4b+5c+2d=1 \\ 4a+4b+2c+d=0\end{cases} \implies a=3,b=-1,c=-3,d=-2[/tex]
So we have
[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= \int \left(\frac3{x+1} - \frac1{(x+1)^2} - \frac3{x+2} - \frac2{(x+2)^2}\right) \, dx[/tex]
[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= 3\ln|x+1| + \frac1{x+1} - 3\ln|x+2| + \frac2{x+2} + C[/tex]
[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= \ln|x+1|^3 - \ln|x+2|^3 + \frac{3x+4}{(x+1)(x+2)} + C[/tex]
[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= \boxed{\ln\left|\frac{x+1}{x+2}\right|^3 + \frac{3x+4}{(x+1)(x+2)} + C}[/tex]
h/5-28=-8 what does h equal?
Answer:
H=100
Step-by-step explanation:
To solve H simply simplify both sides of the equation then isolate the variables.
Hope it helps!!!!!!!!!!Brainliest pls!!!!!!!!!!Answer:
h=100
Step-by-step explanation:
h/5 -28=-8
put like terms together( unknowns on one side, knowns on the other)
h/5= -8+28
h/5= 20
Multiplying both sides by 5 to get rid of the denominator
5(h/5) =5(20)
h=100
The area of a rectangle is its length times its width .
The area of a rectangle is 60 square centimeters.
its length is 7 cm longer than its width .find its width .
what is its length write an equation and solve it
Answer:
The length is 5cm.
Step-by-step explanation:
(x)(x+7) = 60
x^2 +7x = 60
x^2 +7x - 60 = 0
x^2 + 12x - 5x = 0
Answer:
[tex]lenght = 12cm \\ width = 5cm[/tex]
Step-by-step explanation:
[tex]area \: = lenght \times width \\ area = 60cm { }^{2} \\ let \: width = xcm \\ let \: lenght = (x + 7)cm \\ 60 = \: (x)(x + 7) \\ 60 = x ^{2} + 7x \\ x {}^{2} + 7x = 60 \\ x {}^{2} + 12x - 5x - 60 = 0\\ x(x + 12) - 5(x + 12) \\ (x + 5)(x + 12) \\ x = 5 \: or \: x =- 12 \\ since \: width \: cant \: be \: negative \\ width = 5cm \\ lenht = 5 + 7 = 12cm[/tex]
Solve x / by 2.4 =12.7
Answer:
30.48
Step-by-step explanation:
...
Answer:
30.48
Step-by-step explanation:
2.4x12.7=30.48
9. Which of the following is an equilateral triangle?
Answer:
d
Step-by-step explanation:
The dashes on the sides of the triangles mean that they are equal in length.
Isosceles triangle: 2 sides of equal length
Equilateral triangle: 3 sides of equal length
Triangle a doesn't have any dashes, so all the sides are different length.
Triangle b has 2 sides that each have the same number of dashes, so these sides are equal in length → Isosceles triangle
Triangle c has 2 sides that each have the same number of dashes, so these sides are equal in length → Isosceles triangle
Triangle d has 3 sides that each have the same number of dashes, so these sides are equal in length → Equilateral triangle
How many buses do you need for 850 people if each bus holds 200 people
Answer:
5 buses
Step-by-step explanation:
each bus will take 200 people except for and the fifth bus will take 50
can you help me with my math
5! + 50
Answer:
170
Step-by-step explanation:
[tex]5!+50\\\\(5*4*3*2*1)+50\\\\120+50\\\\170[/tex]
Question
5! + 50
Step-by-step explanation:
about factorial
5!
=5 × 4 × 3 × 2 × 1
=20 × 3 × 2 × 1
=60 × 2 × 1
=120 × 1
=120
the result of the factorial 5! is 120
now we just add 120+50
120 + 50
120
50
———+
170
so the result of 5! + 50 is 170
I hope this helps
hello help me with this question thanks in advance
Answer:
AD=25cm
Step-by-step explanation:
BC//AD
XY is also parallel to BC and AD as it bisects BA and CD.
BX=XA, CY=CD
so tge decreasing in length BC to XY is the same with XY to AD
29-27=2
27-2=25
That is why AD= 25cm
Can someone please help me.
Its figure A cause see how it says small squares thats the one
thanks
your gurl unique
Question 1
Which statement describes the basis for the proof that vertical angles are congruent?
А
Two adjacent angles are always supplementary
B.
Two adjacent angles that form a linear pair are congruent.
с
Two angles that are each supplementary to a third angle are congruent.
D
Two angles that are each complementary to a third angle are congruent.
Answer:
C
Step-by-step explanation:
On each linear pair, there is one of the Vertical angles and an angle shared between the two angles. This means we can use the fact that supplements of the same angle are congruent.
The basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".
What are vertical angles?Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.
In the provided figure.
∠1 + ∠2 = 180 degrees ( linear pair of angles)...(i)
∠ 1 + ∠4 = 180 degrees ( linear pair of angles)...(ii)
According to transitive property, if a = b and b = c then a = c
Therefore,
∠1 + ∠2 = ∠1 + ∠4...(iii)
⇒∠2 = ∠4
Similarly, we can prove that
∠1 = ∠3
Therefore, we conclude that vertically opposite angles are always equal.
Hence, the basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".
Thus, statement c is correct.
Find out more information about vertically opposite angles:
https://brainly.com/question/18045519
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