The exponential function represented in the table is given by:
[tex]F(x) = 16\left(\frac{3}{2}\right)^x[/tex], which means that option F is correct.
What is an exponential function?It is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.Considering the table, that has points (2,36) and (3,54), we have that:
[tex]36 = ab^2[/tex]
[tex]a = \frac{36}{b^2}[/tex]
[tex]54 = ab^3[/tex]
[tex]54 = \frac{36}{b^2} \times b^3[/tex]
[tex]36b = 54[/tex]
[tex]b = \frac{3}{2}[/tex]
Hence:
[tex]y = a\left(\frac{3}{2}\right)^x[/tex]
When x = 2, y = 36, hence:
[tex]y = a\left(\frac{3}{2}\right)^x[/tex]
[tex]36 = a\left(\frac{3}{2}\right)^2[/tex]
[tex]\frac{9}{4}a = 36[/tex]
[tex]a = 16[/tex]
Hence, the function is:
[tex]F(x) = 16\left(\frac{3}{2}\right)^x[/tex], which means that option F is correct.
More can be learned about exponential functions at https://brainly.com/question/25537936
quadrilateral corn has coordinates C(-4,1) O(-3,3) R(2,3) N(0,-1). what is the most specific name for the quadrilateral. justify your conclusion
The quadrilateral is a trapezoid because it presents two parallel sides with different lengths.
For solving this question, first you need to plot the coordinate points given on the Cartesian graph. After that, you should connect the plotted points with a line. With this, you can see an image of a parallelogram, but you need to inform your specific name.
Main Types of Quadrilateralssquare: it presents all side equals and angles equal to 90°;rectangle: it presents all angles equal to 90°. On the other hand, the opposite sides are equals (same length);rhombus: it presents all side equals and angles different than 90° (two acute and two obtuse angles );trapezoid: all the sides may not have equal length also it presents two parallel sides.The image plotted from the coordinate points shows a quadrilateral with two parallel sides and different lengths. Therefore, this quadrilateral is a trapezoid.
Learn more about the trapezoid here:
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Somebody gets this all correct I will give them 20 points it is two step equations and it’s addition subtraction multiplication and division
Anyone know how to solve this. I got 4 but wasn’t correct
Answer:
12
Step-by-step explanation:
Factor each expression. 81y + 54
your answer is....
27(3y+2)
If a local coffee shop serves 12 customers in 36 minutes, how fast does it serve its customers?
A. 1 minute per customer
B. 2 minutes per customer
C. 3 minutes per customer
D. 2.5 minutes per customer
A store has a 20% off sale on pants. With this discount, the price of one pair of pants before tax is $15.20.
What is the original price of the pants?
Answer:
19$
Step-by-step explanation:
Because 19$ 20% off=15.20 and you added taxes]
Have a great day :}
KINDA NEED THE ANSWERS ASAP: In the linear function f(x)=-x+1, is the function increasing, decreasing or constant?
Tommorow in Orlando, Florida, the temp. will drop by 3 degrees every hour for the next 10 hours. If it is currently 75 degrees, what temp. will it be after 5 hours from now?
what is the y intercept of the standard form of the linear equation 2y+4x=8?
what is the rate of change in the standard linear form of the equation 3y+6x=12?
If you save $5 each week and you add it to your starting savings of $10, how many weeks do you have to save in order to reach $100?
A pool is filled with 4000 gallons of water. you can drainbthe pool at 100 gallons per hour. how long before the pool is empty?
Answer:
down below
Step-by-step explanation:
1) when x is increasing, the function is decreasing
2)
The wording is a bit weird and I think the "for the next 10 hours." is extra infomation. so 3*5=15 degress dropped. 75-15=60
3) when it is the y intercept, x is equal to 0
2y=8
x=4
(0,4) is the y-intercept
4)
divide the equation by 3
y+2x=2
so the points are like (0,4), (1,2), (2,0)
You could figure out the rate of change
5)1
0+5x=100
5x=90
x=18
18 weeks
btw x are weeks
6)
4000/100=40 hours.
help ill give 5 stars if you get it correct
Answer:
B is the answer
Step-by-step explanation: Ok so the problem we are working with is
8 2/9-4 2/3. We will eliminate all the negative answers. So we only have 2 options. When we actually think logically B is the only possible answer.
Answer:
[B] [tex]2\frac{8}{9}[/tex]
Step-by-step explanation:
First of all, it not asking for the answer it asking for the first step.
Secondly, both number are positive (Before subtract)
Hence, this leads us to 2 more answer choices.
When model a number or a fraction on the number line you put the first Value on the number line then the second Value.
Therefore, we can conclude that [B] 2 8/9 is the correct answer.
[RevyBreeze]
PLEASE HELP
Kira created two patterns. pattern g starts at 2 and increases by 2 each time. pattern h starts at 4 and increases by 4 each time
when the number in Pattern H is 48, what is the corresponding term in Pattern G?
Answer:
when pattern H is 48, pattern G is 24
The equation for the pH of a substance is pH = –log[H ], where H is the concentration of hydrogen ions. Which equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7. 2?.
Equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,
[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]
What is pH value?The pH value is the measurement of the water, as it is acidic or basic in nature and amount of it. If the value of pH value is more than 7, the water is basic in nature and if less than 7, the water is acidic.
Given information-
The equation for the pH of a substance is,
[tex]pH = -\log[H^+ ],[/tex]
Here, [tex]H[/tex]hydrogen ions.
The pH value of the solution is 7.2.
The pH value of the solution is given, and the concentration of hydrogen ions has to be find out (in equation model form).
The given equation for pH of the substance is,
[tex]pH = -\log[H^+ ],[/tex]
It can be written as,
[tex]-pH = \log[H^+ ],[/tex]
The pH value of the solution is 7.2. Put the value as,
[tex]-7.2 = \log[H^+ ][/tex]
Rewrite the above equation as,
[tex]\log[H^+ ]=-7.2[/tex]
Using the log property the, above equation can be written as,
[tex][H^+ ]=10^{-7.2}[/tex]
Solve it further as,
[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]
[tex][H^+ ]=6.3095\times10^{-8}[/tex]
Thus, equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,
[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]
Learn more about the pH value here;
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Really need answer for this question ASAP, please someone help me!
Answer:
i think the answer is 11.
Solve the inequality. Graph and check your solutions.
y-2>-17
y>___ (Simplify your answer.)
Answer:
I am sorry just today we start this lesson
PLEASE ANSWER FOR MY SISTER
Answer:
3/5 < 3/3
Step-by-step explanation:
3/3 = 1 whole (1)
3/5 = 0.6
Operation of complex numbers
(8i-9)+(6i+4)
Answer: 14i-5
Step-by-step explanation:
Add the imaginary numbers first and then the natural numbers
Which of these describes how to use the number
phi to find a term in the Fibonacci sequence?
A-Divide the term Fn-1 by the value of phi to find
the value of the term Fn
B-Multiply the term Fn-1 by the value of phi to
find the value of the term Fn:
C-Subtract the value of phi from the term Fn-1.
This will give you the value of Fn
D- sum the previous two terms and then multiply
the sum by phi. This will give you the term Fn
Answer:
sum the previous two terms and then multiply
What is the equation of the line?
O y=3x
o y = 18*
O x-3x+2
Answer:
Third option.
Step-by-step explanation:
We will use the process of elimination to find this answer:
First option is incorrect because y = 3x, because 3x gives us an intersection of positive three, which in this graph the line doesn't intersect at positive three, but two.
Second option is incorrect because although it the line is structured correctly, the line isn't in the same area of height as the given graph, and barely comes up the x-axis.
Third option IS correct because not only is it line structured correctly, but it is also in the same area of height as the given graph. x + 2 means an increase positive two and the line from the following graph does initially intersect as positive two.
Which means your answer is in fact the third option "[tex]y=\frac{1}{3} x+2[/tex]".
Hope this helps.
Can yall help
Subtract the sum of the first three prime numbers from the square of 5.
Thanks
(5X5) - (2+3+5)
25- 10
=15
Please mark as Brainliest!
Finding Conterminal Angels:
Answer:
106°
Explanation:
(360*3) -974 = 106°
Endless extra value's:
Positive coterminal angles: 106°, 466°, 826°, 1186°, 1546°...
Negative coterminal angles: -254°, -614°, -974°, -1334°...
But here the range is only from 0° ≤ ∅ < 360°, so only 106° is applicable.
A 43-foot ladder is leaning against a building and forms a 29. 37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth. 21. 09 feet 24. 20 feet 37. 47 feet 49. 34 feet.
Check the picture below.
Make sure your calculator is in Degree mode.
I need to know the area
Answer:
67.5 units²
Step-by-step explanation:
We can break this problem down in two parts: The upper triangle and the lower trapezoid.
The upper triangle:
Use the formula [tex]\frac{1}{2} (b)(h)[/tex] to compute the area of the triangle. Base = 10 and Height = 7.
1/2 (10)(7)
1/2 (70)
=35 units².
The lower trapezoid:
Use the formula [tex]\frac{1}{2}(base_{1} + base_{2}) (height)[/tex] to compute the area of the trapezoid. Base 1 = 10, Base 2 = 3 and Height = 5.
1/2 (10 + 3)(5)
1/2 (13)(5)
1/2 (65)
=32.5 units²
So, add the two areas of each shape:
35 + 32.5 = 67.5 units².
Answer:
Step-by-step explanation:
67.5 is the answer and thanks for asking
Si 4 x – 2 y = 6, entonces y =
Answer:
y = 6 - 4x ➗ -2
Step-by-step explanation:
4x - 2y = 6
-2y = 6 - 4
y = 6 - 4x
A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. The rest is blueberry juice. How much of each ingredient will be necessary to make the smoothies?
I NEED A STEP BY STEP
Select all of the ratios that are equivalent to 1:5
8 to 40
5 to 20
6:30
3/20
2/9
2/10
Please hurry!!!
Answer:
8 to 40
6:30
2/10
Step-by-step explanation:
To check if this is the answer you can multiply the first number of each of these ratios by 5. (We multiply them by five because it is the second number in the ratio 1:5)
8 times 5 equals 40 -so this one is right
6 times 5 equals 30 -yep this one is right too
2 times 5 equals 10 -yeperdoodle
Yeah..so these are the answers! let me know if this helps you out.
All rations equivalent to 1:5:
~6:30
~2/10
~8 to 40
Hopefully this helped-have a good day)
The Stewart family is building a circular swimming pool. If the radius of the pool is 10 feet, What is its circumference?
Use π = 3.14 to solve.
Answer:
62.83
Step-by-step explanation:
C=2πr=2·π·10≈62.83185ft
Divide using long division
pls show work
4x^3+8x^2-9x+18/2x+3
there you go the steps and then the solution
what is the AREA of a 13ft by 6ft rectangle
Answer:
78 ft²
Step-by-step explanation:
The formula for area is:
[tex]Area=length*width[/tex]
A 13 ft by 6ft rectangle means that the length is 13 ft and the width is 6 ft. We can use this information to solve for the area...
[tex]Area=length*width\\Area=13ft*6ft\\Area=78 ft^2[/tex]
Answer:
78 sq feet
Step-by-step explanation:
Area = length × width
If you know two of the sides of the rectangle (that aren't directly across from each other) MULTIPLY the numbers together.
Area = l × w
Area = 13 × 6
Area = 78 sq feet
someone help please:
find the value of x
2x - 2 = 4x + 6
Answer:
or, 2x=4x+8
or, -2x=8
or, x=-4
Given Equation :-
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow 2x -2 = 4x +6} [/tex]
Let's overturn the equation –
[tex]\qquad[/tex][tex] \sf \longrightarrow 4x +6 = 2x -2 [/tex]
Subtract 2x from both side –
[tex]\qquad[/tex][tex] \sf \longrightarrow 4 x +6 -2x = 2x -2 -2x[/tex]
Cancel 2x from right side & also simplify this equation
[tex]\qquad[/tex][tex] \sf \longrightarrow 4 x +6 -2x =\cancel{ 2x} -2 -\cancel{2x}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +6 = -2 [/tex]
Now, subtract 6 from both side
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +6 -6 = -2-6[/tex]
Once again, cancel 6 from left side –
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +\cancel{6} -\cancel{6} = -2-6[/tex]
On simplification –
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = -8[/tex]
Now, divide both sides by 2
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{2x}{2} = \dfrac{-8}{2}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{\cancel{2}x}{\cancel{2}} =\cancel{ \dfrac{-8}{2}}[/tex]
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow x = -4} [/tex]
Henceforth, value of x is -4.Find the value of ‘k’ if x+1 is a factor of the polynomial
2 − √2 + 1
Answer:
[tex]3-\sqrt{2[/tex]
Step-by-step explanation:
Please help! Explain the best you can! :) Thanks!
Answer:
55°
Step-by-step explanation:
x+x-20=90[Complementary angle]
or, 2x-20=90
or, 2x=90+20
or, 2x=110
or, x=110/2
x=55°
Please help FACTORING POLYNOMIALS USING GCF like can you at least explain how to
Answer:
HOW TO:
GIVEN A POLYNOMIAL EXPRESSION, FACTOR OUT THE GREATEST COMMON FACTOR.
Identify the GCF of the coefficients.Identify the GCF of the variables.Combine to find the GCF of the expression.Determine what the GCF needs to be multiplied by to obtain each term in the expression.Write the factored expression as the product of the GCF and the sum of the terms we need to multiply by.