The correct equivalent function can be found by using exponent rule.
The correct option is [tex]f(x)=3(8.35^x)[/tex].
Given:
The given expression is as follows,
[tex]f(x)=3(1.7)^{4x}[/tex]
Write the exponent rule.
[tex]a^{mn}=(a^m)^n[/tex]
To simplify the given expression apply the exponent rule.
[tex]f(x)=3(1.7)^{4x}\\f(x)=3(1.7^4)^x[/tex]
Using calculator find the value of [tex]1.7^4[/tex].
[tex]f(x)=3(1.7^4)^x\\f(x)=3(8.35)^x\\f(x)=3(8.35^x)[/tex]
Thus, the correct option is [tex]f(x)=3(8.35^x)[/tex].
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Describe the type of correlation each scatter plot shows. Draw a trend line that
models each data set and find the equation of that trend line.
The correlation coefficients off both the scatter plots are mentioned above.
What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related.The sample correlation coefficient is defined as[tex]${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}[/tex]
where [tex]{\displaystyle s'_{x}}[/tex] and [tex]{\displaystyle s'_{y}}[/tex] are the uncorrected sample standard deviations of
X and Y.
Given are the scatter plot graphs as shown.
For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8
For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45
Therefore, the correlation coefficients off both the scatter plots are mentioned above.
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A grocery store buys cereal using the cost function c(n) = { 2n when n < 100 1. 9n when 100 ≤ n ≤ 500 1. 8n when n > 500 where n is the number of boxes of cereal the grocery store buys and c(n) is the cost of the cereal. The grocery store then sells the cereal using the sales function s(c) = 1. 3c. What is the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them?.
The grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247
From the given function, we can see that the equivalent function for a number of 100 boxes is given as;
c(n) = 1.9n
If n = 100
c(100) = 1.9(100)
c(100) = 190
Hence the cost of 100 boxes will be $190
Given the sales function s(c) = 1. 3c, the grocery store's sales from selling cereal if the grocery store buys 100 boxes will be expressed as:
[tex]s(c) = 1. 3c\\s(190)=1.3(190)\\s(190)=$247[/tex]
Hence the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247
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1.5 cm 1 30 cm 15 cm 20 cm Calculate the volume of the box using the external measurements.
A computer artist created a rectangular image measuring 50 millimeters by 120 millimeters. She then dilated the image by a scale factor of 2.5. What are the dimensions of the dilated image?
A
125 millimeters by 120 millimeters
B
52.5 millimeters by 122.5 millimeters
C
125 millimeters by 300 millimeters
D
20 millimeters by 48 millimeters
The dimensions of the dilated image is 125 millimeters by 300 millimeters.
An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.
The scale factor is 2.5. This means that the dimensions are 2.5 larger. Dimensions of the dilated image : 50 x 2.5 and 120 x 2.5 = 125 mm by 300 mm
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simply the expresstion: 5+8 (3 + x )
Answer:
29+8x
Step-by-step explanation:
5+8(3+x)
Expand 8(3+x)
= 5+24+8x (add the numbers)
= 29+8x
pls help I really need it too pass I am begging
Answer:
Lateral : 103.67 in²
Total : 864 in²
Step-by-step explanation: there you go
The sunglasses cost €70
The exchange rate is €1 = £0.895
Emad says, “The sunglasses cost less than £60"
b) Using a suitable approximation, show that Emad is wrong.
Answer:
70 * 0.895 = 62.65
OR
1 0.895
70 x
-Cross-multiply
[tex]\frac{70 * 0.895}{1}[/tex] = 62.65
I
Table for a linear equation
Fill in the table using this function rule.
y = 5x-2
X
y
Х
?
- 1
0
1
2
what is the slope of the line with the equation: y+6=24-2x
Answer:
The slope is -2
Step-by-step explanation:
y+6=24-2x
Subtract 6 from each side
y+6-6=24-6-2x
y = 18 -2x
Rewriting
y = -2x+18
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -2 and the y intercept is 18
Simplify (x-4) (x^2 + 3x + 2)
Answer:
x^3-x^2-10x-8
Multiply each term in the first expression by each term in the second expression and combine like terms.
PLEASE HELP!!! I’ll mark as brainiest!
Answer:
1. (-2, 3)
2. (-4, -6)
3. (3, -6)
4. (-5, 2)
5. (9, 1)
1. (-3, -2)
2. (6, -4)
3. (6, 3)
4. (-2, -5)
5. (-1, 9)
15,735 children visited a fun park in January and 32,012 children visitedit in February. How many children visited the fun park in 2 months?
Please answer this ASAP
Solve for x.
5x−3=13−3x
A: x=-2
B: x= -5
C: x=2
D: x=5
Answer:
5x−3=13−3x
x=2
positve 2
What is the angle, in degrees, when the coordinate is [tex](-\sqrt{2} /2), \sqrt{2} /2)[/tex] ? Pls help thanks
Answer:
135°
Step-by-step explanation:
seg AB=seg OB
tan ∠AOB = 1
∠AOB = 45°
∠AOC = 135°
35% of (blank) days is 7 days
Answer:
2.45 days.
Step-by-step explanation:
35% of 7 days is 2.45 days :) please thank.
This should be 20.
50% of 20 is 10. If you subtracted 15% from 10, you would get 3 which then makes it 7. Therefore, 35% of 20 days is 7 days.
Please, Help with this MATH question.
equation of the line (6,10) , (-3,-2)
Answer:
[tex]y=\frac{4}{3}x+2[/tex]
Step-by-step explanation:
using two points you can find the slope of the line using the formula [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
plugging in the x- and y- values into the equation above, you'll get:
[tex]m=\frac{-2-10}{-3-6}=\frac{-12}{-9}=\frac{4}{3}[/tex]
so far, you have [tex]y = \frac{4}{3}x+b[/tex]
using any of the two points, you can solve for b. in this case, the point (-3, -2) is used.
[tex]-2=\frac{4}{3}(-3)+b\\-2=-4+b\\-2+4=-4+b+4\\2=b[/tex]
the overall equation is [tex]y=\frac{4}{3}x+2[/tex]
The function f(x) is shown in this graph.
5
(0,2)
The function g(x) = -3x - 6. Compare the slopes,
Help plz
Answer:
The slopes are equal
Step-by-step explanation:
Calculate the slope m of f(x) using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = [tex]\frac{2-5}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
g(x) = - 3x - 6 ← is in slope- intercept form
with slope m = - 3
Then the slopes of f(x) and g(x) are equal, meaning the lines are parallel
help please??????????
Answer:
D. 4+2 = 2+4
Step-by-step explanation:
Commutative property of addition states that the answer does not change when you change the order of the equation.
Example:
a+b = b+a
Hope this helps! Have a great day!
Answer: 4+2=2+4
Step-by-step explanation:
Commutative property of addition states that the answer does not change when you change the order of the equation.
Example:
a+b = b+a
100% correct
At the craft store, Franklin bought a bag of red and brown marbles. He received 33 red marbles and 67 brown marbles. What percentage of the marbles were red?
Answer:
33% of the marbles were red
Help tbh I have no idea to what to do rn
Your favorite team jersey is on sale for $32 this is a 36% discount what was the original price of the jersey.
I had gotten 52.48
thats what I used to figure out the answer
Name an angle adjacent to FGI
JGI
HGJ
DGE
HGE
Answer: JGI
Step-by-step explanation:
An adjacent angle are angles that share a vertex and side. FGI and JGI share the vertex G and the segment GI
Have a good day!
Someone help me with this for BRAINLIEST thank you!
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, please feel free to ask in the comment section.
[tex]x+y =6 ~~~.....(i)\\\\x =3y -2~~.....(ii)\\\\\text{Substitute}~ x =3y-2~ \text{in equation (i):}\\\\\\3y -2 +y =6\\\\\implies 4y = 6+2\\\\\implies 4y = 8\\\\\\\implies y =\dfrac 84 =2\\\\\text{Substitute y =2 in equation (ii):}\\\\x = 3(2) -2\\\\\implies x = 6-2 =4\\\\\\\text{Hence,}~ (x,y) = \left(4, 2\right)[/tex]
16. Multiply the polynomials: (x + 3)(x2 – 5x + 12)
Please help! I'm so stuck!
Asap!!
justin bieber is white
Andy spent $46.96 at the grocery store. The cashier gave him $2.97 in charge from a $50 bill. How much change should the cashier have given Andy
Answer:
Option C- $3.05
Step-by-step explanation:
50 - 46.95 = 3.05.
How do you write an equation of a line so that it is parallel or perpendicular to a given point??
The equation of a line so that it is perpendicular to a given point will be
y-y0=[tex]\frac{-1}{m}[/tex] (x - xo)
The equation of a line so that it is perpendicular to a given point will be
y-y0=m (x - xo)
The standard equation of the line is better written in point-slope form expressed as:
y-y0=m(x - xo)
where: m is the slope of the given line (x0, y0) is any point of the giuven line.
m is the slope of the given line
(x0, y0) is any point on the given line
If the given slope of the line is m, the slope of the line perpendicular will be expressed as -1/m
The equation of a line so that it is perpendicular to a given point will be
y-y0=[tex]\frac{-1}{m}[/tex] (x - xo)
Bub buys a t - shirt for $7.45. He pays with a $20 bill . How much change will he get
Answer:
12.55
Step-by-step explanation:
2x-6y= 12 3y=x+6 how many solutions does this problem have? No solution, one solution, or infinite solutions