Answer:
Sophia can drive 3672 miles using 18 galloons of gas.
Step-by-step explanation:
204 x 18 = 3672.
Calculate miles per gallon by dividing the miles she drove you the gallons used:
204/8 = 25.5 miles per gallon.
Now multiply miles per gallon by gallons:
25.5 x 18 = 459 miles
Answer: 459 miles
There is a population of 5 bacteria in a colony. If the number of bacteria doubles every minute, which function can be used to determine what the population will be x minutes from now?
Answer:
[tex]f(x) = 5 *2^x[/tex]
Step-by-step explanation:
Given
[tex]a=5[/tex] -- initial
[tex]r = 2[/tex] --- rate (i.e. double)
Required
The function to represent the scenario
The above scenario represents an exponential function where
[tex]f(x) = ar^x[/tex]
So, the function is:
[tex]f(x) = 5 *2^x[/tex]
Suppose y varies directly with x, and y = 65 when x = 13. What direct variation equation relates x and y?
Answer:
y = 5x
Step-by-step explanation:
y = kx
65 = k (13)
65/13 = k
k = 5
~~~~~~~~~~~~
y = 5x
Tollowing statement.
The type of rule in which you are given the first term and then your equation gives you a method for finding the
next term in a sequence.
Answer:
recursive
Step-by-step explanation:
recursive lets us find the next term using a formula of the term preceding it or coming before it.
The type of rule in which you are given the first term and then your equation gives you a method for finding the next term in a sequence is called Recursion
What is recursive function ?
Recursive function is a function that repeats or uses its own previous term to calculate subsequent terms and thus forms a sequence of terms . Example : Arithmetic progression , geometric progression etc
so, the type of rule in which you are given the first term and then your equation gives you a method for finding the next term in a sequence is called Recursion
Learn more about Recursion
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PLZ ANSWER ASAP 100 POINTS AND BRAINLIEST PLZ PLZ HELP
A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
Answer:
Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.
Step-by-step explanation:
A parallelogram have opposite sides parallel and congruent
the given quadrilateral is a parallelogram then
10 = x + 2 Equation A
x + 5 = 2x - 3 Equation B
Solving for Equation A:
x = 10 -2 = 8 inches
Solving for Equation B;
2x - x = 5 + 3
x = 8 inches
Value X are the same equations.
Means that
For x=8 inches opposite side
So Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.
Find the circumference for the following circle. use 22/7 for pi.
A.86.6 m
B.33 m
C.8.4 m
D.16.5 m
Answer:
D.16.5m
because circumference=21/7×5.25
=16.5m
help, please! f(x)=x^2 what is g(x)?
Answer:
B
Step-by-step explanation:
If you substitute in the value x = 1, and y = 4 (based on the point given), (2x)^2 is the only expression that makes it work.
Hope this helps!!
Nvm, I know it's KM for this one y'all.
Answer:
If the question is asking which line is the radius then yes
Step-by-step explanation:
What is the inverse of the function f(x) = 2x + 1?
Answer:
f^1(x)= (1/2)x-(1/2)
hope this helped
ASAAAPPP PLEASE HELP!!
Answer:
C is correct
Step-by-step explanation:
Just add the exponents leaving you with 2 squared which is 4
Answer:
[tex]a^b*a^c=a^{b+c}[/tex]
[tex]2x^{1/2} *2^{3/2} =2^{1/2+3/2}[/tex][tex]=2^{4/2}[/tex][tex]=2^2[/tex][tex]=4[/tex]-----------------------
hope it helps...
have a great day!!
5x−x can u give me the anwser
Answer:
4x
Step-by-step explanation:
5x - x is simply
5x - 1x = 4x
Another way to think about it:
5x = 5 * x
5(x) - 1(x) = 4(x) = 4x
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
4x
Step-by-step explanation:
14 is what % of 89 if you choose a random answer you will be reported
Answer:
15.73 %
Step-by-step explanation:
Given :-
14 is what % of 89 .For finding% :-
→ 14/89 * 100
→ 15.73 %
Answer:
15.73% to the nearest hundredth.
Step-by-step explanation:
14/89 = 0.157303
Now multiply by 100
This gives 15.7303 %
which is the best estimate for the percentage equivalent of 7/15
Answer:
45%
Step-by-step explanation:
The fuel for a chain saw is a mix of oil and gasoline. The label says to mix 5 ounces of oil with 11 gallons of gasoline. How much oil would you use if you had 22 gallons of gasoline?
Answer: 10 ounces
Step-by-step explanation:
Given
The label says to mix 5 ounces of oil with 11 gallons of gasoline
for 22 gallons of gasoline that is, double the previous amount, oil required would also be doubled.
Oil required would be 10 ounce.
What is the equation of a line passing through the points (2, -6) and (4, -16) in slope-intercept form
Answer:
y=-5x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-16-(-6))/(4-2)
m=(-16+6)/2
m=-10/2
m=-5
y-y1=m(x-x1)
y-(-6)=-5(x-2)
y+6=-5(x-2)
y+6=-5x+10
y=-5x+10-6
y=-5x+4
please help me this is due in 30 minutes
Answer:
a
c
c
a
Step-by-step explanation:
Tell whether the points appear to represent a linear function, an exponential function, or neither? Explain please.
Answer:
Exponential
Step-by-step explanation:
Linear is easy to remember because it goes in a straight LINE.
Only other option is a quadratic and this does not create a parabola
Sally opened a bank account with $562.55. After receiving her first pay
check, she deposited another $121.35 into her bank account.
How much
money does Sally now have in her bank account?
$683.90
$682.90 $441.20
$442.20
Answer:
683.90
Step-by-step explanation:
562.55
+121.35
683.90
According to exponent rules, when we divide the expressions we
exponents.
The vertex of this parabola is at (-5, 4). Which of the following could be its
equation?
Answer:
A. y = -(x + 5)^2 + 4
Step-by-step explanation:
After a small online search, I've found that the options are:
A. y = -(x + 5)^2 + 4
B. y = -(x - 5)^2 + 4
C. y = -(x + 5)^2 - 4
D. y = -(x - 5)^2 - 4
For a quadratic equation with a vertex at the point (h, k) is written as:
y = a*(x - h)^2 + k
Where a is the leading coefficient.
So, if here we have the vertex at (-5, 4)
y = a*(x - (-5))^2 + 4
y = a(x + 5)^2 + 4
Then the correct option is the first one, where a = -1, then the correct option is A.
Help me ASAP please
Answer:
D. F(x) = (x - 1)^4
Step-by-step explanation:
To shift a graph h units horizontally, replace x by x - h.
The shift is 1 unit to the right, so the shift is positive 1.
h = 1
x - h = x - 1
Replace x with x - 1.
G(x) = x^2 becomes F(x) = (x - 1)^4
An airplane is flying 2 miles over the ocean directly toward a coastline. If the angle of depression to the coastline from the airplane is 15 degrees, how much farther does the airplane have to fly before it is directly above the coastline? Round to the nearest tenth.
The airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).
Here,
Let's consider the situation described in the problem:
An airplane is flying 2 miles over the ocean, directly toward a coastline. The angle of depression from the airplane to the coastline is 15 degrees. We want to find out how much farther the airplane has to fly before it is directly above the coastline.
Let's represent the distance the airplane needs to fly before it is directly above the coastline as "x" miles.
Now, we have a right-angled triangle formed by the airplane, the coastline, and the point directly below the airplane on the coastline (the foot of the perpendicular).
The angle of depression is the angle between the horizontal line (the coastline) and the line of sight from the airplane to the foot of the perpendicular.
Since we know the angle of depression and the length of the opposite side (the height of the airplane above the coastline, which is 2 miles), we can use trigonometry (specifically, the tangent function) to find the length of the adjacent side, which is the distance the airplane needs to fly (x miles).
The tangent of an angle in a right-angled triangle is defined as the ratio of the length of the opposite side to the length of the adjacent side:
tan(angle) = opposite / adjacent
In our case, the angle is 15 degrees, the opposite side is 2 miles, and we want to find the adjacent side (x miles):
tan(15°) = 2 / x
Now, solve for x:
x = 2 / tan(15°)
Using a calculator:
x ≈ 2 / 0.26794919243 ≈ 7.47 miles
So, the airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).
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Find the equation of the line parallel to y = 2/3-7 (2 over 3)
passing through A(6,-1).
Answer:
y = 2/3x - 5
Step-by-step explanation:
y = 2/3x + b
-1 = 2/3(6) + b
-1 = 4 + b
-5 = b
The student enrollment of South High School was 1,350 students in 1995 and increased by15% per year until 2010. Approximately how many students were enrolled at South HighSchool in 2010?
Answer:
81
Step-by-step explanation:
1350 ×15 % by 100 = 81. 15 year = 1,215
The product of two numbers is 62.7. If one number is 5.5, find the other number? Need it fastttttttttt with steps
Answer:other number is 11,4
Step-by-step explanation:
Find The Surface Area And Volume Of A Sphere Whose Radius Is 5.6ml
Answer:
surface area is A≈394.08
not so sure about volume
Step-by-step explanation:
i need help with this!
Answer:
surface area of the square pyramid
=(10×10)+(2×10×8)
=100+160
=260 yd²
answer is first option
Help me plsss!! Thanks
Answer: B or D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The answer must have 5! since it is a combinaiton of letters without any repeats. Since you want two words, its 2/5!
100 points !!!!! thank you :)
Answer:
A
Step-by-step explanation:
Write an equation in polnt-slope form for the line that passes through the glven
polnt with the slope provided.
(2.-1), m= -3
Answer:
(y+1) = -3(x-2)
Step-by-step explanation:
y-y₁=m(x-x₁)
notice the negatives in the formula.
this changes coordinates. the positives to negative and negatives to positives
The volume of a cylinder is given by the formula V = pier2, where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?
Answer:
The volume of the cylinder is defined by the expression .
[tex]V=\pi (x+8)^2 (2x+3) or V=\pi (2x^3 + 35x^2 + 176x +192)[/tex]
The volume of the cylinder where the radius is r = ( x + 8 ) and height is h = ( 2x + 3 ) is given by the expression V = π ( 2x³ + 35x² + 176x + 192 ) units³
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the cylinder be V
Now , the radius of the cylinder is r = ( x + 8 ) units
The height of the cylinder is h = ( 2x + 3 ) units
And , Volume of Cylinder = πr²h
On simplifying , we get
The volume of cylinder V = π ( x + 8 )² ( 2x + 3 ) units³
The volume of cylinder V = π ( x² + 16x + 64 ) ( 2x + 3 )
The volume of cylinder V = π ( 2x³ + 35x² + 176x + 192 ) units³
Hence , the volume of cylinder is V = π ( 2x³ + 35x² + 176x + 192 ) units³
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