Which situations can be presented by an exponential function?
Select EACH correct answer
A.In a structure made of soup cans, each row has 6 more cans that the previous row
B.a doctor’s office accepts 20 new patients each month
C.The value of a motorcycle decrease by 12% each year
D.Every year, the number of online subscribers to a service is 4 times what it was the previous year
Answer:
C.The value of a motorcycle decrease by 12% each year
D.Every year, the number of online subscribers to a service is 4 times what it was the previous year
Step-by-step explanation:
A function is said to be exponential if it changes (increases or decreases) by a fixed percentage or proportion over a certain period of time.
From the options given, only options C and D is defined as changing based on a certain percentage. And option D cgbages by a clfixed proportion from the initial value.
The option that represents the exponential function are situation C) and D) and this can be determined by making the mathematical expression of each situation.
Try to make a mathematical expression of the situation given below in order to check which option shows an exponential function.
A) According to the given data, in the first row there are 6 cans, in the second row there are 12 cans, in the third row there are 18 cans, and so on. Now, let 'a' be the total number of rows then, the mathematical expression of this situation is given by:
= 6a
This situation is not representing the exponential function.
B) According to the given data, in the first month there are 20 patients, in the second month there are 40 patients, and so on. Let the total number of months be 'b' then the mathematical expression is given by:
= 20b
This situation is not representing the exponential function.
C) According to the given data, in the first year the value of the motorcycle decrease 12%, in the second month the value decreased by 24% of the initial value, and so on. So, the price of motorcycle decreases exponentially. Therefore, this option is correct.
D) According to the given data, every year, the number of online subscribers to service is 4 times what it was the previous year. The mathematical expression of this situation is:
= [tex]4^x[/tex]
where 'x' is the number of years. Therefore, this option is correct.
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If is added to a number and the sum is 8 multiplied by 2, the answer is What is the number? 3
Answer:
Let the number be x
Given that
⇒(x+
3
2
)×2=
3
16
⇒x+
3
2
=
3
8
⇒x=
3
8
−
3
2
⇒x=
3
6
⇒x=2
Thus the number is 2
Solve for m g=4cm-3cm
Answer:
g/c =m
Step-by-step explanation:
g=4cm-3cm
Combine like terms
g = 1cm
g =cm
Divide by c
g/c = cm/c
g/c =m
In a right triangle, two sides are 12 and 13. Find the measure of the third side. Consider all cases.
Answer: Approximately 17.69
Step-by-step explanation:
The formula needed to find the third side of this equation is the Pythagorean theorem. Which is as follows:
[tex]a^2+b^2=c^2\\c=\sqrt{a^2+b^2}[/tex]
The difference between the two is that the first one after you do [tex]a^2+b^2[/tex] you still need to square root the answer you get to get the third side, aka. the hypotenuse. If you do the second method, you get the answer after you do the calculation which is a lot easier.
Below are the calculations needed to be made in both ways:
[tex]12^2+13^2=313\\\sqrt{313}= 17.69[/tex] 17.69 was rounded to the hundredths place.
[tex]\sqrt{12^2+13^2}=17.69[/tex] once again this answer was rounded to the hundredths place.
[tex]a^2+b^2[/tex] are respectively for the sides of the triangles.
[tex]c^2[/tex] is respectively for the hypothenuse, which is the longest side, and across from the right angle (located by a box).
Answer:
5 or 17.69
Step-by-step explanation:
1st case senario:
c^2=a^2+b^2
c^2=12^2+13^2
c^2=144+169
c^2=313
c^2=[tex]\sqrt{313}[/tex]
c=17.69
2nd case senario:
144+b^2=169
b^2=169-144
b^2=25
b^2=[tex]\sqrt{25}[/tex]
b+5
Evaluate the expression when m=4.
m^2 + 6m + 8
Answer:
According to me,
48 is the answersIf f(x) =x/4 - 3 and g(x) = 4x2 + 2x - 4, find (f +g)(x).
A. x2-12
B. 4x2 +Zx-7
C. 4x2+2x+1
D. 4x2+x-7
Answer:
4x^2 +9x/4 -7
Step-by-step explanation:
f(x) =x/4 - 3
g(x) = 4x^2 + 2x - 4
(f +g)(x) = x/4 - 3 + 4x^2 + 2x - 4
= 4x^2 + 8x/4+x/4 -7
= 4x^2 +9x/4 -7
I have done it more than 10 times i still cant find the answer
Question:
Answer:
there may be mistake in the question
PLEASE ANSWER ASAP WORTH 100 points get it right please
Answer:
See below.
Step-by-step explanation:
Part A:
triangle QPR and triangle PSR are similar
Part B:
Triangle QPR is a right triangle with right angle QPR.
Triangle SPR is a right triangle with right angle PSR.
Angle QPR of triangle QPR corresponds to and is congruent to angle PSR of triangle PSR.
Angle R of triangle QSR corresponds to and is congruent to angle R of triangle PSR.
The similar triangles by AA Similarity are
triangle QPR and triangle PSR
Part C:
QR/PR = PR/SR
16/PR = PR/4
PR² = 16 * 4
PR² = 64
PR = 8
Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo concentrate for every 9 cups of water. Devin will use 36 cups of water.
How much shampoo concentrate should Devin add to the water to make the shampoo solution?
Answer:
8
Step-by-step explanation:
Make a ratio
2:9 = 11
In total there will be 11 cups of solution.
2:9 = 11
?:36 = ?
Divide
36 / 9 = 4
Now that you have found the scale factor, multiply
2 × 4 = 8
So, you will need 8 cups of shampoo concentrate.
I need help!!! please help me!!!
Answer:
um ok the laiyflylfug;ou;
Step-by-step explanation:
Which graph shows the solution to y< -x+3?
Answer:
graph b is your answer
Step-by-step explanation:
I hope this help and have a great day
Answer:
The answer is B.
Step-by-step explanation:
The current temperature of 8"F below zero is 21°F below the high temperature of the day. What is the high temperature for the day
Answer:
24°c
Step-by-step explanation:
PLEASE accept me in brainly
If the circumference of a right cylinder is tripled, the volume will increase by a factor of _____.
Answer:the answer is 9
Step-by-step explanation:
If BC = 5, DE = 9, and AB = 4, what is the length of AD?
7
8
7.2
7.5
There are two triangles here: ABC and ADF. These triangles are similar, and thus proportional. So, we can set up a proportion between the left side of each triangle and the base of each triangle.
AB / AD = BC / DE
4 / (4 + BD) = 5 / 9
---AD is made up of AB and DB. We know AB, but not BD, so we need to find its value to find the length of AD.
5(4 + BD) = 9 x 4
20 + 5BD = 36
5BD = 16
BD = 3.2
AD = AB + BD
AD = 4 + 3.2
AD = 7.2
Hope this helps!
) Con robot của bạn An được lập trình có thể đi thẳng, quay trái hoặc sang phải một góc 900. Trong cuộc thi "Phát động tài năng ", con robot của bạn An xuất phát từ điểm A đi thẳng 4m, rồi quay sang trái đi thẳng 3m, sau đó quay sang phải rồi đi thẳng 4m, rồi tiếp tục quay sang trái đi thẳng 3m đến B. Hãy tính khoảng cách AB .
Step-by-step explanation:
chắc là nó như này à :>♡♡♡
Find c for me please.
Answer:
5 km would be the answer
Step-by-step explanation:
For 45-45-90 triangles, the values are x, x, for the less long sides, then for the hypotenuse it's x sqrt2, because that is the rule for 45-45-90 triangles. So since in this problem, the value for the hypotenuse is 5sqrt2 km, the c value would be 5 km. Hope this helps!
The probability of a football team winning a game is three fifths. If they play 45 games in a season, how many games would you expect them to win
Answer:
27 games
Step-by-step explanation:
The probability of them winning is 3 out of 5 games.
First, multiply 45 by [tex]\frac{3}{5}[/tex]
[tex]\frac{45}{1} *\frac{3}{5}[/tex]
[tex]\frac{135}{5}[/tex]
27 games.
You could also just multiply 45 by 3 then divide by 5. Mostly the same thing
I hope this helps!
A square has a side length of 36 feet. This square is dilated by a scale factor of 23 to create a new square. What is the side length of the new square?
Answer:
828
Step-by-step explanation:
Multiple the side length by the dilation
36 x 23 = 828
Answer my question im being timed Please!!
[ (10)(x^3)(y^2) / (5)(x^-3)(y^4) ]^-3
[ (2)(x^3)(y^2) / (x^-3)(y^4) ]^-3
[ (2)(x^6)(y^2) / (y^4) }^-3
[ (2)(x^6)(y^-2) ]^-3
(2^-3)(x^-18)(y^6)
---Not simplified (contains negative exponents)
(1/8)(x^-18)(y^6)
---Fully simplified
(y^6) / (8)(x^18)
Hope this helps!
what is -3/5 as a decimal
Answer:
-0.6
Step-by-step explanation:
Answer:
⅗ as a decimal is -0.6
Hope it's right if not then sorry, have a great day:)How much is 3a²-5ab+7b²+3 greater than 2a²+2ab+5?
Answer:
a²-7ab+7b²-2
Step-by-step explanation:
3a²-5ab+7b²+3 - ( 2a²+2ab+5 ) = 3a²-5ab+7b²+3 - 2a²-2ab-5 = a²-7ab+7b²-2
35x - 11 = 107... fill in the digit on the right side of the equation so that each equation has an integer solution.
Answer:
...=
Step-by-step explanation:
First step to these problems will be to move the -11 to the side with the 107_
That will give us 35x=107_ +11.
Next, we know 35=5 times 7, and be now can say that 107_+11 will be a multipe of 5 and 7 at the same time. If it's a multiple of 5, then it has to end in a five or zero, so the blank can be four or nine. If it has to be a multiple of seven, too, than the only 1070 because that is divisible by 7, whereas 1075 is not.
I hoped you liked this answer. If you have any more questions, you can always ask me!
It should be noted that in the equation 35x - 11 = 107, x will be 3.371.
What's the value of x?To solve the equation 35x - 11 = 107, we can follow these steps:
Add 11 to both sides of the equation to isolate the term with the variable:
35x - 11 + 11 = 107 + 11
This simplifies to:
35x = 118
Divide both sides of the equation by 35 to solve for x:
(35x) / 35 = 118 / 35
This simplifies to:
x = 118 / 35
The result, in decimal form, is approximately:
x ≈ 3.37
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Find the missing term in the proportion:
1/y = 4/11
y=?
Answer:
2.75, or 2 3/4
Step-by-step explanation:
Cross multiply first to get:
4y = 11
Divide by 4 on both sides
y = 2.75
Now, simplify to a mixed number or keep it as a decimal to get 2.75, or 2 3/4.
Hope this helps!
If there is something wrong, just let me know.
Answer:
2.75
Step-by-step explanation:
1/y = 4/11 cross multiply the expressions
4y = 11 divide both sides by 4
y = 2.75
Find the slope of the line graphed below.
Answer:
Y =1.2X +-1.6
Step-by-step explanation:
x1 y1 x2 y2
3 2 -2 -4
(Y2-Y1) (-4)-(2)= -6 ΔY -6
(X2-X1) (-2)-(3)= -5 ΔX -5
slope= 1 1/5
B= -1 3/5
Y =1.2X +-1.6
3x?
3x?
If Ax)=
2x
and g(x)
find /(x) = g(x)
Answer:
and practice problems to learn how to find and evaluate composite functions. ... If f(x)=(1/x) and (f/g)(x)=((x+4)/(x^2+2x)), what is the function g?
"A parabola has the equation y=3x^2+ 6x- 12 . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way
y = 3x ^ 2 + 6x- 12
(a=3; b=6; c= -12)
• Ta có Δ=b^2 -4ac
= 6^2 -4*3*( -12)
=180
• X= (-b+√Δ)/2a
≈ 3.2
• X= (-b-√Δ)/2a
≈ -3.2
Khi đó: y= 948/25
Và: y= -12/25
Vậy : A(3.2: 948/25)
B(-3.2; -12/25)
Step-by-step explanat bion :
Johnson bought a wrist watch for $y and sold it at a loss of 15% Write an expression for the selling price.
A. 0.85 y
B. 0.85
C. 85 y
D. 1.159
HELPPPPP ILL GIVE BRAINLIEST
Answer:
0.85y
Step-by-step explanation:
Cost of the wrist watch = $y
Present percentage = 100%
Percentage Loss = 15%
Selling price = (Present percentage - Percentage Loss) * Cost of the wrist watch
= (100% - 15%) * y
= 85% * y
= 85/100 * y
= 0.85 * y
= 0.85y
Selling price = 0.85y
Mean of Frequency Tables
1. At a party, thirty people have an age of 30, forty have an age of 40 and fifty an age of fifty. What is their average age?
2. In a hardware shop, there are 30 spanners costing £6, 55 hacksaws costings £9 and 10 soldering irons costings £20. What is the average cost per item?
3. Using this frequency table, find the average height of a turnip.
Height (to nearest cm)
6cm 7cm 8cm 9cm 10cm
Frequency:
3 8 12 4 1
Answer: 1. 41.67years
2. £9.21
3. 7.75cm
Step-by-step explanation:
1. At a party, thirty people have an age of 30, forty have an age of 40 and fifty an age of fifty. What is their average age?
Total ages = (30 × 30) + (40 × 40) + (50 × 50) = 900 + 1600 + 2500 = 5000
Total number of people = 30 + 40 + 50 = 120
Average age = Total ages / Total number of people
= 5000/120
= 41.67 years
2. In a hardware shop, there are 30 spanners costing £6, 55 hacksaws costings £9 and 10 soldering irons costings £20. What is the average cost per item?
Total cost of items = (30 × £6) + (55 × £9) + (10 × £20) = £180 + £495 + £200 = £875
Total number of items = 30 + 55 + 10 = 95
Average cost per item = £875/95 = £9.21
3. Using this frequency table, find the average height of a turnip.
Height (to nearest cm)
6cm 7cm 8cm 9cm 10cm
Frequency: 3 8 12 4 1
Total height = (3 × 6cm) + (8 × 7cm) + (12 × 8cm) + (4 × 9cm) + (1 × 10cm) = 18cm + 57cm + 96cm + 36cm + 10cm = 217cm
Total number of turnips = 3 + 8 + 12 + 4 + 1 = 28
Average height = 217cm/28 = 7.75cm
En una granja hay un gallo, un canario y un
azulejo. Supón que el gallo canta cada
7 minutos, que el canario lo hace cada 14
minutos y el azulejo, cada 22 minutos. Si
en este momento cantaran al mismo tiempo las
tres aves, ¿en cuántos minutos volverán a
coincidir los tres cantos?
Los tres cantos volverán a coincidir en 154 minutos.
Dado que en una granja hay un gallo, un canario y un azulejo, suponiendo que el gallo canta cada 7 minutos, que el canario lo hace cada 14 minutos y el azulejo, cada 22 minutos, si en este momento cantaran al mismo tiempo las tres aves, para determinar en cuántos minutos volverán a coincidir los tres cantos se debe realizar el siguiente cálculo:
Debe obtenerse el múltiplo común menor entre 7, 14 y 22. Dado que todo múltiplo de 14 será también múltiplo de 7 (pues 14 no es otra cosa que dos veces 7), debe obtenerse el múltiplo común menor entre 14 y 22. Entonces, debe descomponerse ambos números en factores primos:
14/27/7X = 2 x 722/211/11X = 2 x 11Posteriormente, deben multiplicarse los factores no comunes por el factor común, es decir, 7 x 11 x 2, cuyo resultado es igual a 154. Así, los tres cantos volverán a coincidir en 154 minutos.
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Solve the right triangle given that mZA = 30°, mZC = 90°, and a = 15. Round
your result to one decimal place,
Answer:23
Step-by-step explanation:
