Answer:
Exponential function:
[tex]f(d) =2^d[/tex]
Linear function:
[tex]f(d) = 2\times f(d-1)[/tex]
Step-by-step explanation:
Given that:
Number of clicks by the end of 2nd day = 4
Number of clicks by the end of 4th day = 16
To find:
The function f(d) to model number of clicks in exponential and linear form.
Solution:
Given that with a value d = 2, f(d) = 4 and
d = 4, f(d) = 16
4 is [tex]2^{2}[/tex]
and 16 is [tex]2^{4}[/tex]
We can see that 2 has a power 'Number of days'.
So, exponential function can be written as:
[tex]f(d) = 2^d[/tex]
As per the pattern given, at the end of 2nd day, there are 4 clicks
by the end of 3rd day there will be 8 clicks and
by the end 4th day it has 16 clicks.
It means that by the end of present day the number of clicks have doubled than that of clicks by end of previous day.
So, we can write the function
[tex]f(d) = 2\times f(d-1)[/tex]
So, the answer is:
Exponential function:
[tex]f(d) =2^d[/tex]
Linear function:
[tex]f(d) = 2\times f(d-1)[/tex]
Answer:
look at the image below
Step-by-step explanation:
imagine math
A pencil cup is a cylinder made of plastic with one base missing. The cup is 5 inches tall and has a radius of 1.75 inches. Approximately how many square inches of plastic were used to make the cup? 54.98 in.2 74.22 in.2 48.11 in.2 64.60 in.2
Answer:
74.22
Step-by-step explanation:
a pencil cup is like a cylinder
A=2πrh+2πr2=2·π·1.75·5+2·π·1.752≈74.22013
hope this helps
correct me if this is wrong
easy question please help fast, i just want to check my answer!
Answer:
false
Step-by-step explanation:
its false I think
If f(x) = x2 + 3x - 4, find f(4).
Answer:
f(4) = 24
Step-by-step explanation:
Plug in 4 for x in the equation:
f(x) = x² + 3x - 4
f(4) = (4)² + 3(4) - 4
Remember to follow PEMDAS. PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
and is the order of operation.
First, solve the power:
(4)² = 4 * 4 = 16
Next, multiply 3 with 4:
3 * 4 = 12
Next, combine the terms:
f(4) = 16 + 12 - 4
f(4) = (16 + 12) - 4
f(4) = 28 - 4
f(4) = 24
f(4) = 24 is your answer.
~
Answer:
24
Step-by-step explanation:
Plug x as 4.
(4)² + 3(4) - 4
16 + 12 - 4
= 24
#1 Billy stacked nine pieces of wood on top of one another. If each piece was 3/4 of a foot tall, how tall was the wood pile? Round your answer to the nearest hundredth of a foot.
#2 look at the photo
please help me as soon as you can it would be greatly appreciated I’m in a hurry.
Answer:
a. 6.75 ft
b. Exponent on w is w^4
Step-by-step explanation:
a. The best thing here is to work with decimals
each piece was 3/4 foot tall which means each piece is 0.75 ft tall
Now since he staked 9, the height of the wood pile would be 9 * 0.75 = 6.75 ft
b. Firstly let’s evaluate the denominator
That becomes; 2v^-3w^8 * v^4w = 2v^(-3+4)w^(8+1) = 2vw^9
So let’s now divide this by the numerator
Since we are concerned with only the exponent on w, we place w^13 over w^9 = w^(13-9) = w^4
Choose a number subtract 5 the result is 4
Answer:
3
Step-by-step explanation:
Write an algebraic expression for the given word expression:
4.7 less than a number k
Answer:
k-4.7
Step-by-step explanation:
It is k minus 4.7 because when it says less than it means the number that is stated before the phrase is being subtracted :)
Answer:
k-4.7
Step-by-step explanation:
For writing algebraic expressions, we have translate the words to math.
4.7 less than a number k, means subtraction (notice the word- less)
Thus, we have k-4.7
Hope this helps :)
can someone help me answer this please
Answer: 19 degrees
Step-by-step explanation:
<FOE is the central angle of an arc of 52 degrees and is thus 52 degrees. Then by supplementary angles <COD is 71 degrees and angle BOA is thus also 71 degrees. Then by supplementary angles <BOC is 19 degrees and arc BC is thus also 19 degrees.
Hope it helps <3
Answer:
19 degrees
Step-by-step explanation:
Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope
Answer:
y = (1/3)x +4
Step-by-step explanation:
The line intercepts the y-axis at y=4. It has a "rise" of 1 unit for each "run" of 3 units, so its slope is rise/run = 1/3.
The slope-intercept form of the equation of a line is ...
y = mx + b . . . . . where m is the slope and b is the y-intercept.
When we put the proper numbers in the equation, we have ...
y = (1/3)x + 4
what is the formula for this equation?
hen spends 3 days baking 224 cookies. on the second day, he bakes twice as many as he did on the first day. on the third day, he baked half as many as he did on the first day. How many cookies did he bake o the 2nd day
Answer:
x + 2x + 1/2x = 224
Step-by-step explanation:
x + 2x + 1/2x = 224
3.5x = 224
x= 64
64×2=128
Hen baked 128 cookies on the second day
The price of an antique car in 2020 is 200% of its original price in 1980. By what percentage did the price increase over this 40-year period?
Answer: 100%
Step-by-step explanation:
Given the following :
Price of antique car in 2020 is 200% of its original price in 1980.
By what percentage did the price increase over this 40-year period?
Let the original price = x
x = price of car in 1980
Price of car in 2020 = 200% of x = 2x
Percentage increase in price is given by:
(increase / original price) × 100%
Increase = (price in 2020 - price in 1980)
[(Price in 2020 - price in 1980) / original price] * 100%
[(2x - x) / x] * 100%
[(2x - x) / x] * 100%
(x /x) * 100%
= 1 × 100%
= 100%
100x%
The percentage that the price increase over this 40-year period is 100%.
Percentage increaseUsing this formula
Percentage increase=(Current price-Original price)÷Original price × 100%
Let plug in the formula
Percentage increase= (200% of x1-1)/1×100
Percentage increase= 1 × 100%
Percentage increase= 100%
Inconclusion the percentage that the price increase over this 40-year period is 100%.
Learn more about percentage increase here:https://brainly.com/question/11360390
Point G is the center of the small circle. Point X is the center of the large circle. Points G, Y, and X are all on line segment GX.
Marco wants to create a new circle using GX as a radius. What will be the area of Marco’s new circle?
10Pi centimeters squared
16Pi centimeters squared
356Pi centimeters squared
676Pi centimeters squared
Answer:
GY = 10 cm
YX = 16 cm
A = πr²
A = π (26cm)²
A = 676cm² π
Step-by-step explanation:
The area of Marco's new circle is A = 676π cm²
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circle be represented as r
Now , the value of r = 26 cm
And , area of the circle = πr²
On simplifying , we get
A = π ( 26 )²
A = 676π cm²
Hence , the area of the circle is 676π cm²
To learn more about circle click :
https://brainly.com/question/28391204
#SPJ3
The complete question is attached below :
Point G is the center of the small circle. Point X is the center of the large circle. Points G, Y, and X are all on line segment GX.
Marco wants to create a new circle using GX as a radius. What will be the area of Marco’s new circle?
10Pi centimeters squared
16Pi centimeters squared
356Pi centimeters squared
676Pi centimeters squared
If 6x - y = 21 and -x + 6y = 14, what is the value of x - y?
Answer:
the value of x_y is 1.
hope u get it.....
Which of the following points satisfies the inequality y>1/3x-2 which side should be shaded
Answer: Hope this helps <3
Step-by-step explanation:
solve the following system of linear equations using the elimination method
Answer:
x=-1, y=2, z=3
Step-by-step explanation:
First at all, you can divide these equations into two group. It is easier to you.
4x-2y+3z=1
3x+y+2z=5
x+3y-4z=-7
3x+y+2z=5
Then, you can simplify these group of equation that you divided.
So, we have to simplify these step by step.
First, we can simplify the first group of equation.
4x-2y+3z=1
3x+y+2z=5
We have to find which variable you want to eliminate. I choose y.
You can multiply the second equation of first group by 2 and eliminate them.
4x-2y+3z=1
6x+2y+4z=10
As the variable of y is same and we can eliminate y by addition.
4x-2y+3z=1
6x+2y+4z=10
become
10x+0+7z=11
10x+7z=11
10x+7z=11 as the third equation.
Next, simplify the second group of equation.
x+3y-4z=-7
3x+y+2z=5
Same way as the previous one. We need to find which variable that you want to eliminate. I choose y.
We need to balance for the first equation x+3y-4z=-7 at least one variable.
We need to multiply this equation by -3 below to get the same value of y to eliminate the above equation.
3x+y+2z=5 (multiply by -3)
-9x-3y-6z=-15
x+3y-4z= -7
-9x-3y-6z= -15
Here we go! Now these group has same value and variable to eliminate.
We can eliminate these equations by addition method.
x+3y-4z= -7
-9x-3y-6z= -15
-8x+0+10z= -22
-8x+10z= -22
Furthermore, we have to combine these equations that we have simplified from the previous groups.
10x+7z=11
-8x+10z= -22
10x+7z=11 and -8x+10z= -22 as a new group.
Finally, it is time to solve these equations!!
10x+7z=11
-8x+10z= -22
First equation of the above group, we can multiply by 10. Like this:
100x+70z=110
Second equation of the above group, we can multiply by 7. Like this:
-56x+70z=-154
So, we can see there are same value from these equation which are +70z and -70z.
Now, we can eliminate this variable by sum these equations.
100x+70z=110
-56x+70z=-154
44x= -44
x= -1
When we get x= -1 , we can use this value to any equation that you want. You can get the same answer as well.
When x= -1,
substitute into 100x+70z=110
100(-1)+70z=110
-100+70z=110
70z=110+100
70z=210
z=3
When z=3 and x= -1, we can substitute into x+3y-4z= -7
-1+3y-4(3)= -7
-1+3y-12= -7
3y=6
y=2
So, the answer is x= -1 , y=2 , z=3
I hope you will understand my solution and explanation. Bye!!
NEED HELP ASAP *picture included* what percent of the area underneath this normal curve is shaded?
Answer:
68.26
Step-by-step explanation:
The symbol σ represents standard deviation. 1 standard deviation (in both directions) under a normal distribution= 68.26
Answer:
68%.
Step-by-step explanation:
The 68-95-99.7 rule (also know as the Empirical Rule) states that 68% of the data lies within 1 standard deviation of the mean. 95% of the data lies within 2 standard deviations of the mean. 99.7% of the data lies within 3 standard deviations of the mean.
According to the diagram, the area shaded shows data within 1 standard deviation of the mean (one standard deviation to the left, and one to the right). That means that 68% of the data is within the shaded area.
Hope this helps!
Which of the following are solutions to the quadratic equation? Check all that
apply.
2x2 + 7x- 14 = x2 + 4
Answer:
[tex]\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }[/tex]
Step-by-step explanation:
hello,
[tex]2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2[/tex]
hope this helps
Find the product h · k(x) if h(x) = 2(3x – 5) and k(x) = –2x + 1?
Answer:
The answer is option C.
Step-by-step explanation:
h(x) = 2(3x – 5) = 6x - 10
k(x) = –2x + 1
h • k (x) = (6x - 10) ( - 2x + 1)
= - 12x² + 6x + 20x - 10
The final answer is
= - 12x² + 26x - 10
Hope this helps you
Answer:
C) h · k(x) = –12x2 + 26x – 10
Step-by-step explanation:
what is the solution to the inequality below x<5
Answer:
The correct answer is B
Answer:
0 < x < 25
Step-by-step explanation:
What is 14v14 divided by 72 in simplest form?
Answer:
About 2.72
Step-by-step explanation:
From reading the comments, I suppose you meant v actually means x so:
14 × 14 = 196
196 ÷ 72 ≈ 2.72
Hope this helped! :)
Answer:
Hello!
I'm not sure what the " v " means but I think you meant to put x instead of v
____________________
14 x 14 = 196
196 ÷ 72 = [tex]\frac{49}{18}[/tex]
Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.
Hope I got this right.
A 1 km long train is travelling at 30km/h. If the train enters a tunnel that is 1 km long, how much time will it take for the train to clear the tunnel?
Answer: 240 seconds OR 4 minutes
Step-by-step explanation:
Length of the train = 1 km
Length of the tunnel = 1 km
Therefore, length of the train + length of the tunnel = (1 + 1) km = 2 km
= 2000 m
Speed of the train = 30 km/hr = 8.333 metres per second
Therefore, time taken by the train to cross the tunnel = 2000 m/ 8.333 m/sec.
= 240 seconds = 4 minutes
Find lateral surface area in square units, of the following 3-
dimensional figure.
Enter just a number for your answer.
-
14 ft
7 ft
9 ft
Answer:
Lateral surface area of cuboid = 448 ft²
Step-by-step explanation:
Given:
Height of cuboid(h) = 14 ft
Length of cuboid(l) = 9 ft
width of cuboid(b) = 7 ft
Find:
Lateral surface area of cuboid
Computation:
Lateral surface area of cuboid = 2 h(l + b)
Lateral surface area of cuboid = 2(14)(9 + 7)
Lateral surface area of cuboid = 28(16)
Lateral surface area of cuboid = 448 ft²
Using Cramer's Rule, what is the value of x in the solution to the system of linear equations below
X+ 3y - 16
3x + y = 8
Answer:
x = 5
Step-by-step explanation:
Here, we want to use Crammer’s rule to find the value of x
Please check attachment for complete solution
The tens digit of a two-digit number is twice the units digits. If the digits are reversed, the new number is 18 less than the original number. Find the number.
Answer:
x=42
Step-by-step explanation:
The tens digit of a two-digit number is twice the units digits. put it in an equation:
10(2x)+x = 10x+2x+18
21x=12x+18
21x-12x=18
x=18/9=2
substitute x:
10(2x)+x = 10x+2x+18
10(2*2)+2=10(2)+2(2)+18
42=24+18
Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula. Find E, the voltage of a circuit, if I = (16 + i) amperes and R = (2 + 4i) ohms.
Answer:
E = (28 + 66i) Volts
Step-by-step explanation:
Note that: i = √-1 ; i² = -1
Ohm's law: E = IR
E = (16+ i) (2 + 4i)
Expand the equation.
E = 16x2 + 16x4i + ix2 + ix4i
E = 32 + 64i + 2i + 4i²
E = 32 + 64i + 2i + 4(-1)
E = 32 + 64i + 2i - 4
Collect like terms:
E = 32 -4 + 64i + 2i
E = (28 + 66i) Volts
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The answer would be f(a)=-1
-AC I hope this helps<3
f(x) = x2. What is g(x)?
Answer:
B
Step-by-step explanation:
Put x as 1 and the output will be 9.
y = (3x)²
y = (3(1))²
y = 3²
y = 9
True
3x-10-4
if x-3
3-164
if x=y=-25
88-y)
if =2 y = 6
6
2
if x=-12
9-10 +4
87-4
-32
4
3x + 4y - 3x
3,81-10) +5x
(2x + 6
if x = -2
-10x
1
ifr=
if x=-2
Kio-2+1
. 20th
2012
x+8y-(x)
(8x)+ 6x + 2
if x = -3
2x + 4y + xy
if x=y=2
8x + 2y
if x=1.5, y =-22
if x =-5, y =
ķ' +17-117
(x-6)+4
3r -8.rº + 7
if x = 4.5
-2x+8y
if x = 3, y = -9
(-5x) - 3x + x
if x=-3.5
if x=8
Answer/Step-by-step Explanation:
1. 3x - 10 +4 if x = 3
To evaluate, plug in the value of x in the expression given
3(3) - 10 + 4 = 9 - 10 + 4
= 3
2. [tex] \frac{x}{2} + 6x [/tex]
if x = -12
[tex] \frac{(-12)}{2} + 6(-12) [/tex]
- 6 - 72 = - 78
3. 8(x - y), if x = 2, y = 6
8(2 - 6) = 8(-4) = -32
4. x + xy, if x = 3, y = -2.5
3 + (3)(-2.5) = 3 + (-7.5)
= 3 - 7.5 = - 4.5
5. (2x)² + 6, if x = -2
(2*-2)² + 6 = (-4)² + 6
= 16 + 6 = 22
6. 3x + 4y - 3x, if x = 2, y = 4
3(2) + 4(4) - 3(2) = 6 + 16 - 6
= 16
7. [tex] -10x + \frac{4}{x} [/tex]
If x = -2
[tex] -10(-2) + \frac{4}{-2} [/tex]
20 + (-2) = 20 - 2 = 18
8. 3(8x - 10) + 5x, if x = ½
3(8*½ - 10) + 5(½)
3(4 - 10) + 2.5
3(-6) + 2.5 = -18+2.5 = - 20.5 or 20½
9. x + 8y - (x)², if x = -5, y = ¼
-5 + 8(¼) - (-5)² = -5 + 2 - (25)
= -3 - 25 = -28
10. (8x)² + 6x + 2, if x = -3
(8*-3)² + 6(-3) + 2 = (-24)² - 18 + 2
= 576 - 18 + 2 = 560
11. 2x² + 4y² + xy, if x = ½, y = 2
2(½)² + 4(2)² + (½)(2)
= 2(¼) + 4(4) + 1
= ½ + 16 + 1 = ½ + 17 = 17½
12. 8x + 2y, if x = 1.5, y = -2.2
8(1.5) + 2(-2.2)
12 - 4.4 = 7.6
13. [tex] \frac{5}{2}(x - 6) + 4 [/tex]
if x = 8.
[tex] \frac{5}{2}(8 - 6) + 4 [/tex]
[tex] \frac{5}{2}(2) + 4 [/tex]
= 5 + 4 = 9
14. 3x - 8x² + 7, if x = 4.5
3(4.5) - 8(4.5)² + 7
13.5 - 8(20.25) + 7
13.5 - 162 + 7 = -141.5
15. -2x² + 8y, if x = 3, y = -9
-2(3)² + 8(-9)
-2(9) - 72 = - 18 - 72 = 90
16. (-5x)² - 3x + x, if x = -3.5
(-5*-3.5)² - 3(-3.5) +(-3.5)
(17.5)² + 10.5 - 3.5
306.25 + 10.5 - 3.5 = 313.25
Which part of the graph is the distance from home constant? PLEAS HELP ME VERY EASY
Check all that apply. If csc0=13/5, then:
I hope this helps you
Answer: B) sin θ = 5/13 and D) tan θ = 5/12
Step-by-step explanation:
[tex]\csc\theta=\dfrac{r}{y}=\dfrac{13}{5}[/tex]
Use Pythagorean Theorem: x² + y² = r² to calculate x = 12
[tex]\sin \theta=\dfrac{y}{r}=\dfrac{5}{13}\qquad \qquad \qquad \csc \theta=\dfrac{r}{y}=\dfrac{13}{5}\\\\\\\\\cos \theta=\dfrac{x}{r}=\dfrac{12}{13}\qquad \qquad \qquad \sec \theta=\dfrac{r}{x}=\dfrac{13}{12}\\\\\\\\\tan \theta=\dfrac{y}{x}=\dfrac{5}{12}\qquad \qquad \qquad \cot \theta=\dfrac{x}{y}=\dfrac{12}{5}[/tex]
Un comerciante vende a un cliente 20kg de arroz 12,25 kilogramos de papa y 39, 16 kilogramos de frijol el peso de los artículos vendidos es
Respuesta:
71.41 kilogramos
Explicación paso a paso:
En este caso lo que debemos hacer para calcular el peso de los artículos vendidos, es sumar el peso individual de cada artículo, por lo tanto:
Peso total = peso del arroz + peso de la papa + peso del frijol
Ya que tienen la misma unidad de medida, no hay ningún problema para sumar, entonces reemplazamos:
Peso total = 20 + 12.25 + 39.16
Peso total = 71.41
Lo que quiere decir que el peso de los artículos vendidos es de 71.41 kilogramos