g(x) = 4f(x)
Is this a vertical or a horizontal translation
Answer:
this is a vertical
Step-by-step explanation:
The initial amount of bacteria in a culture is 12,000. The culture grows at a rate of 45% each day. Write an exponential function to model the population of y bacteria after x days. How many bacteria are there after 6 days?
Answer:
FV= 111,529.37 = 111,529
Step-by-step explanation:
Giving the following information:
Initial amount (PV)= 12,000
Growth rate (g)= 45% = 0.45
First, we will establish the future value formula:
FV= PV*(1+g)^n
FV= future value
n= number of days
FV= 12,000*(1.45^n)
For 6 days:
FV= 12,000*(1.45^6)
FV= 111,529.37
Identify the imaginary part of this complex number:
(1)/(2)+(-7)/(2)i
Answer:
-7/2i
Step-by-step explanation:
The imaginary part of the complex number is -7/2.
What is complex form?A complex number can be expressed in the polar form in addition to the rectangular form. Complex numbers are typically expressed as z = x + iy, where 'i' is a fictitious integer. Complex numbers are described as a union of argument and modulus in polar form, however.
We know a complex form,
a + bi, where the coefficient of 'i' is the imaginary part and the rest of the part is a real part
So,
[tex]\frac{1}{2} + (\frac{-7}{2} )i[/tex]
Compared to the standard form,
-7/2 is the imaginary part.
Therefore, -7/2 is the imaginary part.
To learn more about the complex form;
https://brainly.com/question/11741181
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Suppose that y varies directly with x, and y=12 when x=15
Write a direct variation equation that relates x and y.
Find y when x=2
Answer:
[tex]y = 1 \frac{3}{5} [/tex]
Step-by-step explanation:
Please see the attached picture for the full solution.
Stir-fry is Felix's favorite food to cook, but it always makes a lot of smoke! Felix needs to know the volume of his kitchen so he can buy a fan that is the right size. Felix's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of Felix's kitchen?
Answer:
680
Step-by-step explanation:
85x8
Answer: 680 cubic feet
Step-by-step explanation:
V = B * hV = 85 * 8V = 680 cubic fettSolving linear equation study island
Answer:
Step-by-step explanation:
(x-9)/5))(5) = 2(5)
answer is B
If we add the second equation to the first equation, we have a new
equation: 7c+8p=29.60. Explain why the same (c, p) pair that is a solution
to the two original equations is also a solution to this new equation.
Pls help asp this is due in a few hours !!!
Answer:
2
Step-by-step explanation:
Rewrite the explicit formula in function form. The identify the y-
intercept of the function.
an = 10+2(n-1)
Answer:
We have the relation:
aₙ = 10 + 2*(n - 1)
And we want to write this in fuction form:
y = f(n)
first we have:
aₙ = y = 10 + 2*(n - 1)
We can rewrite this as:
y = 10 + 2*n - 2
y = 2*n + (10 - 2)
y = 2*n + 8
Now we want to find the y-intercept, this is the value of the function when the variable is equal to zero.
Then if we take n = 0, we get:
y = 2*0 + 8
y = 8
The y-intercept is 8.
An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by the equation: d=0.12t. How many miles is it flying per second?
Answer:
0.12 miles is it flying per second.
Step-by-step explanation:
The distance d is related to time t in seconds is given by the equation as follows :
d =0.12 t
We need to find how many miles is it flying per second.
[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]
So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.
Identify the function graphed.
Answer:
its B, A, C
Step-by-step explanation:
correct on edge
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Please first person to answer question will be marked as branliest and will be given 5 likes
Please I beg u all
Answer:
A.) x=-3
B.) I have no clue I'm sorry I haven't learned anything over square method
Step-by-step explanation:
Can anyone help me with this I need ASAP
help me so much rn plz plz
Answer:
5(9+x)
Step-by-step explanation:
5 x 9 = 45
then if do 5 times x it would look like 5x
what's the value of the X in the Triangle below
34+x+90 =180(Angle sum property of triangle )
124 +x =180
x= 180-124
x= 56
So option c is the correct one!!My guys do you thing pls help I will give brainliest
Answer:
22
Step-by-step explanation:
Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Answer:
The answer is below
Step-by-step explanation:
Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.
a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.
b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Solution:
a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.
Using Pythagoras law for right angled triangle, we get that:
x² = 2.3² + 1.8²
x² = 8.53
x = √8.53
x = 2.9 miles to the nearest tenth
b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.
Let x = length of a straight line between Calvin's house and the music school. Hence:
x² = 1.8² + 1.4²
x² = 5.2
x = √5.2
x = 2.3 miles to the nearest tenth
*************MUST ANSWER!***************
Sebastian has a points card for a movie theater.
-He earns 85 points just for signing up.
-He earns 2.5 points for each visit to the movie theater.
-He needs 115 points for a free movie ticket.
Write and solve an Equation which can be used to determine v, the number of visits Sebastian must make to earn a free movie ticket.
Answer:
Look Down
Step-by-step explanation:
85+2.5v=115
2.5v=30
v=12
3 definitions of slope
expand and simplify (2x+5)2
Someone help me it was due a week ago please help me
Answer:
h-5
Explanation:
no
What is the equation of the line that passes through (4,3) and (2, -1)?
y = 6x+4
y = 1/2 x -2
y = 2x-5
y = 4x -13
c
you need to find the slope and then y intercept
m=y2-y1/x2-x1
so m=2
now y intercept
3=2(4)+b
solve for b
u get -5
therefore
y=2x-5
1800 peoples came for the football match. If this number is correct to the nearest hundred , give the maximum and minimum number of people that could have come.
Answer:
Minimum value = 1750
Maximum value = 1849
Step-by-step explanation:
Given that:
Number of people who came for match = 1800 (to the nearest hundred)
The maximum. And minimum number of people who came are ;
When rounding to tbe nearest hundred , the tens value which is after the the hundred value is either rounded to 0 or 1 depending on whether the the value is below 5 or greater than or equal to 5 respectively.
Hence,
Minimum value = 1750
Maximum value = 1849
Please help I need it fast thanks!
Answer:
B
Step-by-step explanation:
What is the value of X?
My guys got me I will give brainliest
Answer:
58°
Step-by-step explanation:
A + B + C = 180 °
The smallest value of C is 91.
A + B = 89
A = 2B - 4
2B - 4 + B = 89
3B - 4 = 89
3B = 93
B = 31
A + 31 = 89
A = 58
solve the square root of 2x-5=x-4
I need help pls help me
−k+3k
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring. If a spring stretches 2 cm when a 30 gram weight is hung from it, how far will it stretch when a 75 gram weight is hung from the spring?
Answer:
5 cm
Step-by-step explanation:
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring.
Distance = D
Weight = W
Hence:
D ∝ W
D = kW
Where k is constant of proportionality
Step 1
We solve for k
If a spring stretches 2 cm when a 30 gram weight is hung from it.
2 = 30k
k = 2/30
k = 1/15
Step 2
how far will it stretch when a 75 gram weight is hung from the spring?
D = kW
We are solving for D
k = 1/15
D = 1/15 × 75
D = 5 cm
The spring would stretch 5cm with a weight of 75 gram.
g(a) = –2a^2 – 2; Find g(-4n)
Answer:
choose last option.
Step-by-step explanation:
Given
g(a) = - 2a² - 2
g(-4n) = - 2 ( -4n) ² - 2
= -2 * 16n² - 2
= -32n² - 2