Answer:
[tex]y = 3(2)^x[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the exponential function
An exponential function is represented as:
[tex]y = ab^x[/tex]
From the table;
[tex](x,y)=(0,3)[/tex]
So:
[tex]y = ab^x[/tex]
[tex]3 = a * b^0[/tex]
[tex]3 = a * 1[/tex]
[tex]3 = a[/tex]
[tex]a = 3[/tex]
Also:
[tex](x,y) = (1,6)[/tex]
So:
[tex]y = ab^x[/tex]
[tex]6 = a * b^1[/tex]
[tex]6 = a * b[/tex]
Substitute [tex]a = 3[/tex]
[tex]6 = 3 * b[/tex]
Solve for b
[tex]b = 2[/tex]
So:
[tex]y = ab^x[/tex]
[tex]y = 3(2)^x[/tex]
The exponential function represented by the values is f(x) = 3(2)ˣ
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
From the table, at point (0, 3):
3 = ab°
a = 3
At point (2, 12):
12 = ab²
12 = 3b²
b² = 4
b = 2
f(x) = 3(2)ˣ
The exponential function represented by the values is f(x) = 3(2)ˣ
Find out more on Exponential function at: brainly.com/question/12940982
For keeping business rocords, every three mouths of a year is called a quater. How many months are equal to three-quaters of a year? Explain how you found your answer.
Answer:
9 months
Explanation:
3 times 3 is nine
If one quarter is 3 months. 3 of these quarters would have 9 months all together.
Each pattern below is made of six congruent
squares. Which pattern can be folded into a cube
that has a surface area of 96cm??
Step-by-step explanation:
im not sure have a good day stay safe and get a good grade
If Fx) = 8x, which of the following is the inverse of F(x)?
Answer
y=x/8
Step-by-step explanation:
f(x)=8x
f(x)=y
y=8x(interchange the values)
x=8y(divide by 8 both sides)
y=x/8
Which expression has the largest value? Each has 9/16 as a factor.
A) 1 2/3 x 9/16
B) 2 7/8 x 9/16
C) 9/2 x 9/16
D) 10/89 x 9/16
Answer:
A
Step-by-step explanation:
I need help please help
Answer:
76.93 ft^2
Step-by-step explanation:
it equals the whole circle's are divided by 2
please help me for brqinliest im imed
Answer:
77°
Step-by-step explanation:
As we can see ABCD is a cyclic quadrilateral so opposite angles of a cyclic quadrilateral is supplementary.
< A + <B = 180° { being opposite angles of cyclic quadrilateral }
2x + 9° + 3x + 1° = 180°
5x + 10° = 180°
5x = 180° - 10°
5x = 170°
x = 170° / 5
x = 34°
Now
< A = 2x + 9°
= 2 * 34° + 9°
= 77°
Hope it will help :)❤
_2. A bacteria population starts at 2,032 and decreases at about 15% per day.
Write a function representing the number of bacteria present each day.
A. $(x) - 2032(0.85)
C. $(x) - 2032(0.85)
B. $(x) - 2032(1.85)
D. f(x) – 2032(0.15)
Answer:
Step-by-step explanation:
The Answer will be D hope this helps ya :)
The function representing the number of bacteria present each day is
[tex]\rm f(t) = 2032(0.85)^{t}[/tex] .
What is a function ?
A function from a set X to a set Y assigns to each element of X exactly one element of Y.
The set X is called the domain of the function and the set Y is called the codomain of the function
A bacteria population starts at 2032 and decrease by 15% everyday.
a function representing the number of bacteria present each day
[tex]\rm f(t) = 2032(1-.15)^{t}[/tex]
[tex]\rm f(t) = 2032(0.85)^{t}[/tex]
Therefore [tex]\rm f(t) = 2032(0.85)^{t}[/tex] is the correct answer .
To know more about function
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aylor states that 2,800,000 in scientific notation is 2.8 × 10-6 because the number has six places to the right of the 2. Is Taylor’s reasoning correct?
Answer:
2.8+1232adwasdf 232=999
Step-by-step explanation:
What is 5 + 2x + 7 + 4x
Answer:
12+8x
Step-by-step explanation:
By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.
What is the value of x?
A triangle. One angle is labeled x degrees. A second angle is labeled 53 degrees. The third angle is labeled 77 degrees.
Enter your answer in the box.
x =
A fish tank has 10 goldfish, 6 tetras, 5 snails, and 2 platies. What is the ratio of tetras to platies?
A. 2/10
B. 6/2
C. 2/6
D. 10/6
Answer:
its B cuz there r six tetras and 2 platies so it is 6/2
Which of the following modifications to an electromagnet would be most likely to
decrease the strength of its magnetic field?
Answer:
Fewer coils, lower voltage, alloyed core with less iron
Step-by-step explanation:
Find the area of the figure.
A) 96cm
B) 110cm
C) 120cm
D) 150cm
Answer:
A
Step-by-step explanation:
Answer:
209952=Area
56=Perimeter
Step-by-step explanation:
3*3*2*2*9*9*6*12=Area
3+3+2+2+9+9+6+12=Perimeter
The surface area of one cube is twice the surface area of a second cube.
What is the ratio of their volumes?
Answer:
[tex]2\sqrt{2} :1[/tex]
Step-by-step explanation:
This question was linked from another one regarding the lengths of the cubes, you can find it here: https://brainly.com/question/22396279
That question gave you the ratio of the lengths, which is [tex]\sqrt{2} :1[/tex]. Now in geometry, a general rule about solids is that if they are similar, the ratio of their volumes is the cube of the ratio of their edges. In a cube's case, every single cube known to mankind is similar as all the edges are the same length.
So the ratio of volumes would be [tex]\sqrt{2} ^3:1^3[/tex], which can be simplified as [tex]2\sqrt{2} :1[/tex].
estimate and calculate 18686+17544?
Answer:
I think its gona be aroundddddddddddddddddddd 30,000
oh rats.. i was in that area tho ........36,230
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
This is the correct graph but can it fit on your graph?
Step-by-step explanation:
Answer:
is in the photo
Step-by-step explanation:
hope this helps
simplify the expression by using the distributive property 3(7y+4)
Answer:
3(7y+4) multiply the inner to 3 so, 21y+12
Hi there!
Let’s distribute 3 by multiplying it by everything inside the parentheses:
3 * 7y = 21
3 * 4 = 12
21y+12 (Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
-Sparkle-
Help me please thank you so much
Answer:
32
Step-by-step explanation:
Multiply the base x height
It will be 8 x 4
And if you multiply it, it should equal to 32 so that means...
The volume of the cylinder is 32.
Quadrilateral ABCD is a parallelogram. What is BC?
Answer:
BC = 36 ≅ (AQ+QD)
Step-by-step explanation:
1. Identify potential angles
∠Q≅90˚ so ∠B = 60˚ + 60˚ and ∠C = 30˚+30˚
2. Two isosoceles triangle
18=AB=AQ
18=CD=DQ
3. BC = AQ+QD
BC = 18+18
BC = 36
(x+6)/(x+1)=6/2
Solving proportions
Answer:
[tex]x = \frac{3}{2} [/tex]
Step-by-step explanation:
[tex] \frac{x + 6}{x + 1} = \frac{6}{2} [/tex]
[tex] \frac{6}{2} = 3[/tex]
so, the solution of the equation will be as follows:
[tex] \frac{x + 6}{x + 1} = 3[/tex]
3(x+1) = x + 6
3x + 3 = x + 6
3x - x = 6 - 3
[tex]x = \frac{3}{2} [/tex]
so, the answer will be x = 3/2
write the fraction 4/9 as an equivalent fraction with the given denominator 45
Answer:
answer is in the picture
factor g(x) =6x^3 +13x^2 -2x -1 if (2x + 3) is a factor.
15 Points, please give full equation on how you answer.
PLEASE HELP ME NO LINKS I AM BEGGING U !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
x = 70
Step-by-step explanation:
The measure of the angle x° is half the sum of the intercepted arcs.
x° = (112° +28°)/2 = 140°/2
x° = 70°
A novelist can write 3 1/2 pages in 1/3 of an hour. How many pages can she write in one hour?
Answer:
LG sjsjsjdjdbvebsjsuwknsnsbbskoejenndnd
Answer:
12 pages
Step-by-step explanation:
3 1/2 pages = 1/3 hour
? pages = 1 hr
; Cross multiply. Multiply 1 times 3 1/2 which is 4. Then, divide 4 by 1/3.
4/1 times 3/1 which equals 12 pages.
Which equations represent exponential growth functions? Select all that apply.
Question 6 options:
f(x)=(2.6)x
g(x)=(52)x
h(x)=(0.4)x
m(x)=(13)x
In the figure, m∠4=74° and m∠3=43° . Find m∠1 and m∠2 .
The measure of the angle m∠1 is 31 degree and the measure of the angle m∠2 is 106 degree.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have:
m∠4=74° and m∠3=43°
m∠4 + m∠2 = 180
74 + m∠2 = 180
m∠2 = 106 degree
m∠3 + m∠2 + m∠1 = 180 (sum of angles in triangle is 180 degree)
43 + 106 + m∠1 = 180
m∠1 = 31 degree
Thus, the measure of the angle m∠1 is 31 degree and the measure of the angle m∠2 is 106 degree.
Learn more about the angle here:
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Point 2 is 106°
Point 1 is 31°
Bit by bit clarification:
every triangle's total angle is 180
first you 180 - 74 = 106 for angle 2
angle 2 you had to use the angle two total then you add it with angle three like this 106 + 43 = 149 then you do 180 - 149 = 31 will give you your angle one
hope it help mark brainliset please
In a Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. Use the normal distribution to construct and interpret a 90% confidence interval for the proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12. The standard error is SE
Answer:
The standard error is 0.0157.
The 90% confidence interval for the proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is (0.5042, 0.5558). This means that we are 90% sure that the true proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is between 0.5042 and 0.5558.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm zs[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex] is the standard error.
In a Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12.
This means that [tex]n = 1012, \pi = 0.53[/tex]
The standard error is:
[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.53*0.47}{1012}} = 0.0157[/tex]
The standard error is 0.0157.
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - zs = 0.53 - 1.645*0.0157 = 0.5042[/tex]
The upper limit of this interval is:
[tex]\pi + zs = 0.53 + 1.645*0.0157 = 0.5558[/tex]
The 90% confidence interval for the proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is (0.5042, 0.5558). This means that we are 90% sure that the true proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is between 0.5042 and 0.5558.
What is the volume of the figure shown below?
Answer:
31 in
Step-by-step explanation:
Answer:
The volume of the figure shown below is 31 inches
Step-by-step explanation:
Just trust me ;)
I WILL GIVE BRAINLIEST !!!What is the product of 4 and 7?
7
O
o
8 9
14
9
14
7
8
Answer:
8? I think I'm not quite sure. lmk