Answer:a
Step-by-step explanation:
The solution is:
The initial value of the function is 2
The base of the function is 3
The function shows exponential growth
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
f(x) = 2(3^x)
Exponential functions are those with the following equation:
y = a*b^x
where a ≠ 0, b > 0 and b ≠ 1 and x is a real number.
a is the y-intercept and b is the base.
The initial value of the function is the same as the y-intercept
If a is positive, the function growth. If a is negative, the function decay
Hence, The initial value of the function is 2
The base of the function is 3
The function shows exponential growth
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complete question:
Consider the exponential function f(x) = 2(3x) and its graph.
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases in quadrant 1. The equation of the function is y = f (x). The function crosses the y-axis at (0, 2).
The initial value of the function is.
The base of the function is.
The function shows exponential
DEA if the diameter is 7 in
A daredevil decides he wants to jump out of a plane and parachute to the U.S.S. Showboat. He knows he needs to leave the plane at an angle of 58˚ from vertical and he knows he wants to wait until the horizontal distance to the boat is 1000yd. How far away should the plane be from the boat to complete his aerial stunt successfully?
Answer:
1179 yards
Step-by-step explanation:
The question can be described by a right angled triangle.
The angle of depression of the boat from the plane = [tex]90^{o}[/tex] - 58˚
= [tex]32^{o}[/tex]
Let the distance from the plane to the boat be represented by x.
Thus, applying the appropriate trigonometric function, we have;
Cos θ = [tex]\frac{Adjacent}{Hypotenuse}[/tex]
Cos [tex]32^{o}[/tex] = [tex]\frac{1000}{x}[/tex]
x = [tex]\frac{1000}{Cos 32^{o} }[/tex]
= [tex]\frac{1000}{0.8481}[/tex]
= 1179.11
x = 1179 yds
The plane should be 1179 yards away from the boat.
When asked about favorite Thanksgiving leftovers, 40% of the people said ham, and 410 said turkey. Which food is more popular? How do you know?
ham by 60 percent :
i just dont
Which list has the numbers in order from least to greatest?
A -3, -8/3, 1/3, 4.7, 4
B-8/3, 1/3, -3, 4.7, 14
3,-8/3, 4 1/3, 4.7
-3, -8/3, 1/3, 74 4.7
Answer:b I think
Step-by-step explanation:
1)
x 0 1 2 3 4
f(x) _ _ _ _ _
Answer:
Calculated and given below:
1) f(x) = -14, 1, 6, 1, -142) f(x) = -4, 5, 8, 5, -43) f(x) = 27, 33, 35, 33, 274) f(x) = -5 , -8, -9, -8, -5 5) f(x) = -7 , -10, -11, -10, -7 6) f(x) = -7 , -34 , -43 , -34 , -7 7) f(x) = 47 , 17 , 7 , 17 , 47 8) f(x) = 29 , 8 , 1 , 8 , 29 9) f(x) = -19 , -1 , 5 , -1 , -19 10) f(x) = 21 , 9 , 5 , 9 , 21
Find the volume of this cylinder.
Give your answer to 1 decimal place.
9 cm
20 cm
Answer:
Question is incomplete
Use volume v. =
Step-by-step explanation:
Pie×r^2 ×h
I need help on this pls
Answer:
y = 3x - 1
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define equation
y - 3x = -1
Step 2: Find Slope-Intercept Form
Add 3x to both sides: y = 3x - 1And we have our final answer!
Find the zero of the function.
g(x) = x2 + 22x + 121
The zero of the function is x=
Answer:
x = -11
Step-by-step explanation:
To find the zero of this function, factor the equation:
g(x) = [tex]x^{2} +22x+121[/tex]
g(x) = (x + 11) (x + 11)
g(x) = [tex](x+11)^{2}[/tex]
The zeros of a function are the values of x that will make g(x) equal 0. So, the zero of this function is -11, because -11 + 11 = 0. So, x = -11.
PLEASE HELP ASAP 25 POINTS!!
Provide a picture if possible!
I NEED THIS ASAP
distribute -8 - 8(4b + 3)
I'll give you a pdf so you can see it yourself and the correct answer is -32b - 32b
20pts
Divide algebraic fraction pls
12a2/18b2÷4a/3b
Answer:
3a/6b
Step-by-step explanation:
12a^2/4a
= 12/4 * a^2/a
= 3a
18b^2/3b
= 18/3 * b^2/b
= 6b
Hence, the answer is 3a/6b.
Hope this helped!
The width of a rectangular room is 80% of its length. It’s 15 feet long. What is the area of the room?
Answer:
180ft^2
Step-by-step explanation:
w = .8l = 15 x .8 = 12ft
A = l x w = 15 x 12 = 180ft^2
I NEED HELP PLEASE i would greatly appreciate it
Answer:
1. 51.2
2. 1080
3. 6.35
4. 2.7348
Step-by-step explanation:
spider knows all /╲/\╭(ರರ⌓ರರ)╮/\╱\
I'll give the brainliest!! The first three terms of the sequence is 23, 20, 17
What are the next two terms in this sequence
Answer:
26 29
Step-by-step explanation:
Is the graphed function linear?
O Yes, because each input value corresponds to
exactly one output value.
O Yes, because the outputs increase as the inputs
increase.
O No, because the graph is not continuous.
O No, because the curve indicates that the rate of
change is not constant.
Answer:
No, because the curve indicates that the rate of
change is not constant.
Im 99.9 sure
Step-by-step explanation:
No, because the curve indicates that the rate of change is not constant.
What is Linear function?The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.
Given:
From the graph we can write the points as
(1, 0), (2, 25), (3, 50), (4, 100), (5, 150), (6, 200), (7, 290)
Since from the above points we can see that there is no constant rate of change followed by the points which the graph Curve.
Also, the linear function usually have the straight line graph.
Learn more about Linear function here:
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WILL GIVE BRAINLIEST determine if linear. if it is, find the rate of change
Solve. Show each step. 5.4 2 6x 5 26 as a single answer
Answer:
x=10
Step-by-step explanation:
what is the answer to 1.97 x 10^3 =
i need help with this asappp
An Amazon packaging plant can ship 315 packages in 7 hours. What is the constant of proportionality that relates the number of packages shipped, y, to the number of hours, x?
Answer:
constant of proportionality is 45 packages an hour.
Step-by-step explanation:
you do 315 divided by 7. the x is hours and the y is packages.
will mark BRAINLIESTT
Answer:
2.5
Step-by-step explanation:
16-13.50
Answer:
Muffins: $1.50
Bagels: $1.00
Step-by-step explanation:
Ight, so this is a system of equation. Let's find the variables first.
m = amount of muffins
b = amount of bagels
4b + 8m = 16
6b + 5m = 13.50
Any questions let me know! Hope this helps and have a great day!
PLEASE HELP
what is the geometric mean of 4/5 and 2
Answer:
ok ummm 5
Step-by-step explanation:
If you want to leave an 18% tip for a waiter on a $54.35 meal, what would the total bill be?
$64.13
$9.78
$44.57
$8.15
Answer:
$64.13
Step-by-step explanation:
the tip would be added to the meal cost
Answer:
54.35+$9.78=64.13
Step-by-step explanation:
54.35*.18=9.78
Hope this helps :)
ayden has 5.5 gallons of gasoline in his suv’s fuel tank before it starts refilling. the capacity of the fuel tank in aydens suv is 21 gallons. what is an equation that relates the amount of gasoline ayden purchased, p, in gallons and the amount of gasoline in the fuel tank, A after the purchase? what values of P could be viable solutions?
Answer:
[tex]0<p\leq15.5[/tex]
Step-by-step explanation:
Amount of gasoline in the tank is 5.5 gallons
21 gallons is the capacity of the fuel tank in the car
A is the amount of gasoline in the fuel tank after purchase which will be less than or equal to 21 gallons.
So the equation will be
[tex]5.5+p\leq A\\\Rightarrow 5.5+p\leq 21\\\Rightarrow p\leq 21-5.5\\\Rightarrow p\leq 15.5[/tex]
So, the value of p is in the range of [tex](0,15.5][/tex] or [tex]0<p\leq15.5[/tex].
3+x>-9 what is the answer
Answer: x> − 12
Step-by-step explanation:
hope this helped
9 Modelling The inside of a saucepan has diameter 20 cm and height 13 cm.
The manufacturer claims that the pan has a capacity of 4 litres.
Is the claim correct?
Explain your answer.
Could i get help
Answer:
The inside of a saucepan has a cylindrical shape so the capacity of a saucepan is: [tex]V=\pi .(\frac{20}{2})^{2}.13=4084(cm^{3})=4.084(l)[/tex]
Step-by-step explanation:
A large water reservoir can be well modeled with a hemisphere whose radius is 630 meters. Given the volume formula for a sphere, 4 3 3 V r , find the volume of water the reservoir can hold. Show your substitution. Express your answer in scientific notation with two decimal places of accuracy.
Answer:
[tex]V=5.23\times 10^8\ m^3[/tex]
Step-by-step explanation:
A large water reservoir can be well modeled with a hemisphere whose radius is 630 meters.
The volume of a hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
Substitute r = 630 m in the above formula
[tex]V=\dfrac{2}{3}\pi \times (630)^3\\\\=5.23\times 10^8\ m^3[/tex]
So, the water reservoir can hold [tex]5.23\times 10^8\ m^3[/tex] of water.
A sociologist wants to know the opinions of employed adult women about government funding for day care. She obtains a list of the 520 members of a local business and professional women's club and mails a questionnaire to 100 of these women selected at random. Only 48 questionnaires are returned
Answer:
stratified random sampling
Step-by-step explanation:
The sampling design that is involved in the above study is the stratified random sampling design. In the study the population of sample is divided into two kinds of members. The two kinds of members are the local business members and the professional club members in a local area. These are called the stratums. The sociologist wishes to collect data or information from these two types of people.
It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes At this rate, how many pounds of mashed potatoes can the make with 15 pounds of potatoes?
Answer:
22.5 pounds of mashed potatoes
Step-by-step explanation:
I start by dividing 15 by 10 to see how many pounds of mashed potatoes come from a single potato and get 1.5. I then multiply 1.5 times 15 (our number of potatoes) which gives me the answer of 22.5.
Which equation can be used to find 55 percent of 900? StartFraction 55 times 1 Over 900 times 1 EndFraction = StartFraction 55 Over 900 EndFraction StartFraction 100 times 16.36 Over 55 times 16.36 EndFraction = StartFraction 1636 Over 899.8 EndFraction StartFraction 900 times 9 Over 100 times 9 EndFraction = StartFraction 8100 Over 900 EndFraction StartFraction 55 times 9 Over 100 times 9 EndFraction = StartFraction 495 Over 900 EndFraction
Answer:
Step-by-step explanation:
55/100*900=55*9
495.
Answer:
bro i cant find it make it do abc or d like come on
Step-by-step explanation:
PLEASE