Answer:
[tex]f(x) = (0.85)^x[/tex]
Step-by-step explanation:
Exponential amount of decay:
The equation for an amount that decays exponentially has the following format:
[tex]A(x) = A(0)(1 - r)^x[/tex]
In which r is the decay rate, as a decimal.
Decrease by 15%
This means that [tex]r = 0.15[/tex]. So
[tex]f(x) = (1 - r)^x = (1 - 0.15)^x = (0.85)^x[/tex]
So
[tex]f(x) = (0.85)^x[/tex]
Which of the following is a non linear equation?
i) x/3 = 12
ii) x + 1 = 6
iii) x + y + z = 17
iv) x y + x/y = 3
Answer:
Option (iv) is correct.
Step-by-step explanation:
The linear equation is the equation in which the degree of the equation is 1.
(i) x/3 = 12
As the degree of equation is 1, so, it is a linear equation.
(ii) x + 1 = 6
As the degree of equation is 1, so, it is a linear equation.
(iii) x + y + z = 17
As the degree of equation is 1, so, it is a linear equation.
(iv) x y + x / y = 3
x y^2 + x = 3 y
The degree of equation is 3, so the equation is non linear.
A full bag of cat food weighs 2 ⅙ pounds. How much cat food do you have if there are 4 ½ bags in the cupboard? *
there would be 2 bags in there
help pls i neeeed help
Answer:
9/8 first 11/8 second and third is 75
Step-by-step explanation:
please help me on this thing
Answer:
85 cm
Step-by-step explanation:
Answer:
68 cm
Step-by-step explanation:
Use the following formula (Pythagorean Theorem) to solve for c:
[tex]c^{2}= \sqrt{(a^{2}) - (b^{2})[/tex]
Substitute values:
[tex]c^{2}= \sqrt{(77^{2}) - (36^{2})[/tex]
Simplify:
[tex]c^{2}= \sqrt{(5,929) - (1,296)}[/tex]
[tex]c^{2}= \sqrt{4633}[/tex]
c ≈ 68 (rounded from 68.07)
Find the slope of the line that crosses through the points (-2, 5) and (-5, -4)
Answer:
umm i believe it is positive 5
Step-by-step explanation:
i hope i helped
At the farmers market, you can buy 3 jars of honey for $12,6 jars of honey for $24,or 9 jars of honey for $36.what is the constant of proportionality for buying jars of honey ?
Answer:
12
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=-1/2x-1
Step-by-step explanation:
The scatterplot below shows the relationship between the height, in inches, and the shoe size of each of 10 students in a class. Students' Heights and Shoe Sizes 69 Height Based on the scatterplot, what ordered pair represents the outlier in the data? O (67, 7) O (8.5, 65) O (7.67) O (65,8.5)
If 9x x 3x+1 = 2187, what is the value of x?
Answer:
x = 80.96
Step-by-step explanation:
9x * 3x +1 = 2187
27x +1 = 2187
27x = 2187-1
27x = 2186
x = 2186/27 = 80.96(2dp)
Find the corresponding time in the different countries in relation to the Philippine time. Choose the correct answer from the give choices.
math math math math math
Answer:
85 km
Step-by-step explanation:
PLZ HELP ASAPPP I just need with 1 and 2 this is my very last assignment! Thank you guys for all your help this yr!
Answer:
1. a = 32.96 m∠B = 21° b = 12.74
2. x = 24.99
Step-by-step explanation:
1. Use the law of sines:
a/sin 112 = 26/sin 47
a = 26 sin 112/sin 47
a = 32.96
m∠B = 180 - 47 - 112 = 21°
b/sin 21 = 26/sin 47
b = 26 sin 21/sin 47
b = 12.74
2. Use the law of cosines
[tex]x^{2} = 17^{2} + 11^{2} - 2(17)(11) cos 125[/tex]
= 289 + 121 - 374 cos 125
= 624.5175....
x = [tex]\sqrt{624.5175...}[/tex]
= 24.99
What is 5/9 +1/3 = I appreciate all answers!!
1.) Multiply Denominator:
9x3= 27
27 will be your new denominator for your answer.
then take 5 and multiply by 3.
5x3=15
then take 1 and multiply by 9.
1x9=9
Afterwards, you plus 15 and 9 to get 24.
so your fraction for the end will be 24/27.
♡BRAINLIEST TO RIGHT ANSWER♡
------Find the surface area of the figure, round your answer to the nearest hundredth if necessary <3
5.1 in
1 in
Answer:
19.47
Step-by-step explanation:
if the radius Is 1 and height is 5.1
Use the order of operations to find the value of the expression 2 + 3 x 16 - 2 x 21 - 3
Answer
5
Step-by-step explanation:
2+3x16-2x21-3
2+ (3x16)- ( 2x21) -3
2 + 48 - 42 -3
50 -42-3
8-3= 5
Answer:
=5
Step-by-step explanation:
2+3*16-2*21-3=
2+(3*16)-(2*21)-3=
2+(48)-(42)-3=
2+6-3=
8-3=
=5
Hope this helps
A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?
Answer:
[tex]y=3x+4[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is equal to 0)1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.
Plug these points into the equation
[tex]=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3[/tex]
Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]
[tex]y=3x+b[/tex]
2) Determine the y-intercept (b)
The y-intercept is given; it is 4. Plug this back into [tex]y=3x+b[/tex]
[tex]y=3x+4[/tex]
I hope this helps!
The height of a cuboid whose volume is 275 cm3 and base area is 25 cm2 is:
Given:
The volume of a cuboid = 275 cm³
The base area of the cuboid = 25 cm²
To find:
The height of the cuboid.
Solution:
We know that, the volume of a cuboid is:
[tex]V=l\times b\times h[/tex]
Where, l is length, b is breadth and h is the height.
It is also written as:
[tex]V=B\times h[/tex] ...(i)
Where, B is the base area and h is the height of the cuboid.
Putting [tex]V=275, B=25[/tex] in (i), we get
[tex]275=25\times h[/tex]
[tex]275=25h[/tex]
[tex]\dfrac{275}{25}=h[/tex]
[tex]11=h[/tex]
Therefore, the height of the cuboid is 11.
Hi, what is 1/7 + 3/4 first right answer gets brainliest
Answer:
25/28 (Decimal: 0.892857 )
Branliest?
Answer:
[tex]\frac{25}{28}[/tex]
Step-by-step explanation:
Combine the fractions by finding a common denominator.
Use the equation below to find c, if a = 39 and b= 27.
c=180-a-b
c=0
X
5 ?
Answer:
the answer is 114
Step-by-step explanation:
Pleaseeeee helpppppppppppppppppppppppp
What part of the circle is shown in purple?
Answer:
Radius
Step-by-step explanation:
I know the answer
Answer:
Radius
Step-by-step explanation:
The wild things pet store has 4 birdcages with 6 canaries in eacg cage. The pet store also has a birdcage with i oarakeets. Which expression shows the number of birds in wild things pet store?
Answer:
(4 * 6) + 8
Step-by-step explanation:
The Wild Things Pet Store has 4 birdcages with 6 canaries in each cage. The pet store also has a birdcage with 8 parakeets. Which expression shows the number of birds in Wild Things Pet Store?
Solution:
Each birdcage contain 6 canaries, therefore since there is a total of 4 birdcages, the number of canaries in the 4 bird cages is given by:
Number of canaries = 4 birdcages * 6 canaries per birdcage
Also, there is one birdcage with 8 parakeets, hence the number of parakeets is:
Number of Parakeet = 1 birdcage * 8 parakeet per birdcage = 8 parakeet
The total number of birds in the Pet store = number of canaries + number of parakeet
number of birds in the Pet store = (4 * 6) + 8
On a quiz there are four multiple-choice questions worth 3 points each and two true/false questionsworth 1 point each . Each multiple-choice question has five possible choices . If a student randomlyguesses on each question , what is the expected value of the student's score on the test ?
Answer:
The expected value of the student's score on the test is 3.4.
Step-by-step explanation:
Multiple choice questions:
worth 3 points.
Five possible choices, one of which is correct. So the expected value of the student in each multiple choice question is:
[tex]m = 3\frac{1}{5} = 0.6[/tex]
True/false questions:
worth 1 point.
2 options, one of which is correct, so the expected value for each is:
[tex]t = 1\frac{1}{2} = 0.5[/tex]
What is the expected value of the student's score on the test ?
4 multiple choice, two true-false. So
[tex]E = 4m + 2f = 4(0.6) + 2(0.5) = 2.4 + 1 = 3.4[/tex]
The expected value of the student's score on the test is 3.4.
hey! i’ll give brainliest please help
Answer:
Symbol also in symbolizing something
Step-by-step explanation:
Allegory: is a form of narrative in which people, places and happenings have hidden or symbolic meaning. ... This is when the meaning, situation or action is one thing but means something different.
12) What value of x makes : f(x) = 30
Answer:
f(5) = 30 so x=5
Step-by-step explanation:
We want to find the value of x which makes the y value of the function 30
Looking at the graph x=5 makes y=30
Estimate the following using general rule.
730+998
796-314
7,720 × 626
6,498 ÷ 52
Answer:
answers rounded to the nearest tens: 1730, 480, 4832720, and 130.
‼️ PLEASEEE HELPPP ‼️
Answer:
take out x+60 and = x+54 cross multiply for starters
16) One autumn morning the temperature went up from -4OC to 5OC a) By how many degrees did the temperature rise? During the afternoon, the temperature then fell by seven degrees from 5OC. b) What was the temperature at the end of the afternoon?
Answer:
Explain it a little more
Step-by-step explanation:
Jessica's family took a 7-hour-and-27-minute trip on a train. They left at 7:00 a.m.
What time did Jessica's family arrive?
D
Which point is the
orthocenter of AABC?
A. Point D
B. Point E
C. Point F