Answer:
the answer is A ..............
Analyze the following table of values.
y=1/2x
y=1/2^x2+4
y=4^x2+1/2
y=4(1/2)x
The table models an exponential relationship, and the equation of the table is [tex]y = 4(1/2)^x[/tex]
How to analyze the table of values?The table of values is given as:
x 0 1 2 3 4
y 4 2 1 1/2 1/4
The above table shows an exponential model
An exponential model is represented as:
[tex]y = ab^x[/tex]
When x = 0 and y = 4, we have
[tex]ab^0 = 4[/tex]
Evaluate
a = 4
When x = 1 and y = 2, we have
[tex]ab^1 = 2[/tex]
Evaluate
[tex]ab = 2[/tex]
Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in [tex]y = ab^x[/tex]
[tex]y = 4(1/2)^x[/tex]
Hence, the equation of the table is [tex]y = 4(1/2)^x[/tex]
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7) Find the number of rotations
needed for this wheel to travel 100
feet if the radius of the wheel is 1
foot?
IL
Answer:
16 full rotations
Step-by-step explanation:
If the radius is 1 foot, cirumference is what we need to get in order to figure out how many rotations are necessary.
Circumference = 2 pi r
[tex]2 * \pi * r = 6.28\\100 / 6.28 = 15.92[/tex]
if you put one penny in a room at 12:00 every minute that penny doubles, in 1 hour at 1:00 the room is full. at what time was the room halfway full?
Answer: It would be 1 min since it doubles every minute. Similarly, it'll be half full the minute before its full is 59.
Step-by-step explanation:
B. Solve the inequalities. Show your work as it is done in the examples. (Hint: One answer will be "no solution" and one answer will be "all real numbers".) See Exs. 3 thru 12.
4. |x| > -11
Como diferenciar em uma imagem o angulo nulo do angulo meia volta?
Answer: Hay 360° en un giro completo, 180° en medio giro y 90° en un cuarto de giro. Un cuarto de vuelta se llama ángulo recto.
Step-by-step explanation:
Help me out yall PLEASE
1. Which is the best method for solving the quadratic equation? Explain why using a sentence. Then solve the quadratic equation using the method chosen. Leave all answers in simplest radical form.
Try to only choose each method once, but you may use a method twice.
• Take the square root of each side.
• Factor and use the zero-product property.
• Complete the square.
• Use the quadratic formula.
A. 2a2 = 72
B. x2 -10x +16= 0
C. y2 + 6y = 2
Answer:
Below.
Step-by-step explanation:
A. Take the square root of each side.
2a^2 = 72
a^2 = 36
a = -6, 6.
B. Factor and use the zero-product property
(x - 2)(x - 8) = 0
x = 2, 8.
C. Complete the square.
y^2 + 6y = 2
(y + 3)^2 - 3^2 = 2
(y + 3)^2 = 2 + 9 = 11
Taking square roots:
y + 3 = +/- √11
y = -3 + √11, -3 - √11
Complete the sentence below.
The expression 52x – 169 is equivalent to
Answer:
Read the explanation below.
Step-by-step explanation:
2(26x-84.5)
A letter of the English alphabet is followed by a digit from 0 to 9.
How many different outcomes are in each sample space?
Answer:
260
Step-by-step explanation:
26 letters * 10 digits
bc each letter could be followed by 10 different digits
How many radians is each angle of an equilateral triangle?
Answer:
[tex]\displaystyle \frac{\pi}{3}[/tex] radians
Step-by-step explanation:
As an equilateral triangle has all angles congruent to each other, each angle is measured 60°
To convert from degrees to radians, we multiply by π/180
Hence, [tex]\displaystyle 60^\circ*\frac{\pi}{180}=\frac{60\pi}{180}=\frac{\pi}{3}[/tex]
As the degrees of freedom increase, the t distribution approaches the _____ distribution.
Using statistical concepts, it is found that as the degrees of freedom increase, the t distribution approaches the z-distribution.
When should the t-distribution and the z-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.For large sample sizes, that is, a large number of degrees of freedom in the t-distribution, the t distribution approaches the z-distribution.
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A bag has 5 red and 8 blue marbles. What is the probability of drawing a red then blue, if the first marble has not been replaced after it has been drawn?
Answer:
5/13
Step-by-step explanation:
5+8=13
Red = 5/13
Blue = 8/13
Algebra 2!! Which graph represents the following piecewise defined function?
-2x, x <-1
f(x) = -1,-1
x-1, x>2
The graph that defines the following piece-wise function is given by:
f(x) = -2x, x < -1.[tex]f(x) = -1, -1 \leq x < 2[/tex].[tex]f(x) = x - 1, x \geq 2[/tex].What is a piece-wise function?It is a function that has different definitions based on the input.
In this problem, for x less than -1, the function is a line going through points (-1,2) and (-2,4), hence the slope is:
m = 4 - 2/(-2 - (-1)) = -2.
The slope of -2 means that it also passes through (0,0), hence the function is:
y = -2x.
For x between -1(inclusive) and 2(exclusive), it is a constant function at y = -1.
For x equal or greater than 2, the function is a line going through points (2,1) and (4,3), hence the slope is:
m = (3 - 1)/(4 - 2) = 1.
The slope of 1 means that the function passes through (0,-1), hence the function is:
y = x - 1.
Hence the piece-wise function is defined by:
f(x) = -2x, x < -1.[tex]f(x) = -1, -1 \leq x < 2[/tex].[tex]f(x) = x - 1, x \geq 2[/tex].More can be learned about piece-wise functions at https://brainly.com/question/24734454
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Answer:
A
Step-by-step explanation:
98% of 50 is what number
1. We assume, that the number 50 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 50 is 100%, so we can write it down as 50=100%.
4. We know, that x is 98% of the output value, so we can write it down as x=98%.
5. Now we have two simple equations:
1) 50=100%
2) x=98%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
50/x=100%/98%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 98% of 50
50/x=100/98
(50/x)*x=(100/98)*x - we multiply both sides of the equation by x
50=1.02040816327*x - we divide both sides of the equation by (1.02040816327) to get x
50/1.02040816327=x
49=x
x=49
now we have:
98% of 50 = 49Answer:
49
Step-by-step explanation:
It's really quite simple lad. 50 times 98 is equal to 4900. then you just divide 4900 by 100 and you get your answer, 49. 98% is also 98/100, keep that in mind. Better luck next time haha you
Can you pls help me with this
Answer:
it's (1, 2)
Step-by-step explanation:
you just look at where the 2 lines cross
Graham and hunter are circus performers. a cable lifts graham into the air at a constant speed of 1.5 ft/s. when graham’s arms are 18 ft above the ground, hunter, who is standing directly underneath graham, throws graham a ball as the cable continues to lift him higher. hunter throws the ball from a position 5 ft above the ground with an initial velocity of 24 ft/s. which system of equations can be used to model this situation? startlayout enlarged left-brace 1st row h = 18 1.5 t 2nd row h = 5 24 t minus 16 t squared endlayout startlayout enlarged left-brace 1st row h = 18 1.5 t 2nd row h = 5 24 t 16 t squared endlayout startlayout enlarged left-brace 1st row h = 18 1.5 t 2nd row h = 5 24 t endlayout startlayout enlarged left-brace 1st row h = 18 1.5 t minus 16 t squared 2nd row h = 5 24 t 16 t squared endlayout
Therefore, the system of equations that can be used to model this situation is h= 5 + 24t -16t^2.
What is the system of equation about?The equations that were given in the system above are :
h = 18 + 1.5t
h = 5 + 24t - 16t^2
Note that:
The rate of Speed = distance divided by time
Since Speed = 1.5ft/s
Distance = 18ft
To know the time which was not given, the equation will be:
1.5ft/s = 18ft/t
1.5t=18
The equation to know height h= 18 + 1.5t
Since Graham moved another 5ft along with a velocity of 24ft/s
Therefore, the system of equations that can be used to model this situation is h= 5 + 24t -16t^2 and as such, option A is correct.
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Answer:
so its A
Step-by-step explanation:
edge 2023
Here is an inequality: -2x > 10.
list 3 values for x that would make this inequality true.
1) x=
2) x=
3) x=
Answer:
x=-10 x=-11 x=-12
Step-by-step explanation:
-10*-2=20 since -10*2=-20 and a negative number multiplied by a negative number is positive. 20>10 is true. -11*-2 is equal to 22, 22>10, -12*-2=24, 24>10.
If a parallelogram has congruent
diagonals, then it is a rectangle.
Choose the equivalent statement.
A. Ifa parallelogram is not a rectangle, then it does not have
congruent diagonals.
B. If parallelogram does not have congruent diagonals, then it is a
rectangle.
C. If a parallelogram is a rectangle, then it does not have congruent
diagonals.
Answer: A
Step-by-step explanation:
The contrapositive of a statement is logically equivalent to the original statement.
2. Let's pretend I'd give you a penny today, two pennies
tomorrow, four pennies the next day, etc. Write a function
that expresses the amount of money I'd be giving you on
thenth day. Give us your function in the initial post and give us
a little explanation about how it works.
Would you rather have me give you 40 days of this money
scheme or a billion dollars?
A 20 foot ladder is leaning against the side of a building. If the bottom of the ladder is 12 feet away from the base of the building, how far up the side of the building does the ladder reach? Draw a picture and show your work. (2 points)
Answer:
The ladder reaches is 16 feet far up the side of the building
picture below
Step-by-step explanation:
-4(8r+3) pls answer
[tex] - 4(8r + 3)[/tex]
solution:[tex] - 4(8r + 3)[/tex]
[tex] = - 32r - 12[/tex]
answer to your question is -32r-12
hope this will help you
2.8 meters less 2.5 meters equals how many centimeters
Answer: 30 centimeters
Step-by-step explanation:
We will subtract and then convert units.
2.8 meters less 2.5 meters = 2.8 meters - 2.5 meters = 0.3 meters
0.3 meters * 100 = 30 centimeters
If this problem is not asking for 2.8 meters minus 2.5 meters - and is stating something else - please comment so I can fix my answer.
what is 35x 67 solve the question
Answer:
2,345
Step-by-step explanation:
This is a simple multiplication problem.
35 × 67 = 2345
Write an equation in slope-intercept form for the line with slope 1/5 and y-intercept - 2. Then graph the line.
Answer:
Slope intercept form: y = 1/5x -2
Step-by-step explanation:
A diagonal of a cube measures 15 cm and the length of an edge of the cube is V75 cm.
What is the length of the diagonal of a face of the cube? Round to the nearest tenth.
Answer:
the diagonal of a face of the cube = 12.2 (Rounded to the nearest tenth)
Step-by-step explanation:
[tex]\text{diagonal of the cube} =\ \left( \text{edge} \right) \times \sqrt{3}[/tex]
[tex]=\sqrt{75} \times \sqrt{3}[/tex]
[tex]=\sqrt{225}[/tex]
[tex]=15[/tex]
[tex]\text{diagonal of the face} =\left( \text{edge} \right) \times \sqrt{2}[/tex]
[tex]=\sqrt{75} \times \sqrt{2} \\\\=\sqrt{150} \\\\=12.247448713916[/tex]
Use the FOIL Method to simplify completely:
(3p+2)(5p - 7)
8p² + 11p - 14
O 15p² + 11p + 14
○15p² – 11p – 14
O 8p² + 11p - 14
Answer:
15p^2 - 11p - 14 (thus answer three is correct)
Step-by-step explanation:
I uploaded an image of how this question is completed for an extended visual. Your welcome and have a great day :))))
if 5% of an item is .50 cents what is original price
Answer:
$10.00
Step-by-step explanation:
5 % of 100 is 55 × 20 = 100so just multiply .50 by 20 and that comes out to 10 dollars19 cm 15 cm triangle and I don’t know the other side
Answer:
well it looks equal to 15 cm so its probably 15 cm
Give brainliest :)
i dont understand this at all, please dont give me an answer i just need someone to explain it to me if so, thank you <3
Answer: Multiply the diameter by Pi, which in school lessons usually just use 3.14
Step-by-step explanation:
So 3.14 multiplied by the diameter of 9.
please mark brainliest
HELP ILL GIVE BRAINLEST
What is the area of this figure?
Enter your answer in the box
Answer:
The area of that figure is 16
Step-by-step explanation:
tell me if im wrong
