Which is the graph of f(x) = (2/3)^x
Answers
Answer:
Picture attached below.
Step-by-step explanation:
I hope it helps.
Related Questions
A jump rope is 2 2/5 ft long. if 15 jump ropes are laid end to end, how long do they reach?
Answers
Explanation
2 2/5= 2.4
2.4*15=36
Hope this helps!!!
What is the solution of
2x + 7 ≥ or 8 - x/3 ≤ 5
Answers
Answer: Second option from the top
Step-by-step explanation:
First, we will simplify the given inequalities.
2x + 7 ≥ 1
2x ≥ -6
x ≥ -3
-
8 - \(\frac{x}{3}\) ≤ 5
- \(\frac{x}{3}\) ≤ 5
- \(\frac{x}{3}\) ≤ -3
x ≥ 9
Now, we will graph them. See attached.
Find the distance (8,-7) (-4,-2)
Answers
Distance = 13 units
Point A: (8, -7)
Point B: (-4, -2)
\(\sqrt{(8 + 4)^{2} + (-7 + 2)^{2} }\)
\(\sqrt{(12)^{2} + (-5)^{2} }\)
\(\sqrt{144 + 25 }\)
\(\sqrt{169}\)
\(13\)
Answer:
\(\boxed {d = 13}\)
Step-by-step explanation:
Use the Distance Formula to help you find the distance between the two following points:
\(d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}\)
(where \((x_{1}, y_{1})\) represents the first point and \((x_{2}, y_{2})\) represents the second point)
-Apply the two following onto the formula:
\((x_{1}, y_{1}) = (8, -7)\)
\((x_{2}, y_{2}) = (-4, -2)\)
\(d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}\)
-Solve for the distance:
\(d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}\)
\(d = \sqrt{(-12)^{2} + 5^{2}}\)
\(d = \sqrt{144 + 25}\)
\(d = \sqrt{169}\)
\(\boxed {d = 13}\)
Therefore, the distance is \(13\).
The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5). (4 points) Group of answer choices y = −2x + 13 y = negative 1 over 2 x + 7 y = negative 1 over 2 x + 3 y = −2x − 3
Answers
The equation of a line parallel to line CD and passing through the point (4, 5) is y = -2x + 13. Option A
To find an equation of a line parallel to line CD and passing through the point (4, 5), we need to use the fact that parallel lines have the same slope. The given equation of line CD is y = -2x - 2, where the slope is -2.
Using the point-slope form of a linear equation, we can write the equation of the line parallel to CD:
y - y1 = m(x - x1)
where (x1, y1) is the given point (4, 5) and m is the slope.
Substituting the values, we have:
y - 5 = -2(x - 4)
Expanding and simplifying:
y - 5 = -2x + 8
Now, let's rearrange the equation to the slope-intercept form (y = mx + b):
y = -2x + 8 + 5
y = -2x + 13
Therefore, the equation of a line parallel to line CD and passing through the point (4, 5) is y = -2x + 13.
Among the given answer choices:
A) y = -2x + 13 - This is the correct equation of the line parallel to CD and passing through (4, 5).
B) y = negative 1 over - The expression is incomplete and does not form a valid equation.
C) 2x + 7y = negative 1 over - This equation does not have the same slope as line CD and is not parallel.
D) 2x + 3y = -2x - 3 - This equation does not have the same slope as line CD and is not parallel.
Option A
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A 31-foot support wire is attached from the top of a 25 foot telephone pole to a point on the ground. How far from the base pole dose the wire meet the ground?
Answers
Answer:
18.3
Step-by-step explanation:
approx. 18.3ft is the answer
In a county containing a large number of rural homes, 60% of the homes are insured against fire. Four rural homeowners are chosen at random from this county, and x are found to be insured against fire. Find the probability distribution for x.
Answers
Answer:
\(\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.0256} & {0.1536} & {0.3456} & {0.3456} & {0.1296} \ \end{array}\)
Step-by-step explanation:
Given
\(p = 60\%\)
\(n = 4\)
Required
The distribution of x
The above is an illustration of binomial theorem where:
\(P(x) = ^nC_x * p^x *(1 - p)^{n-x}\)
This gives:
\(P(x) = ^4C_x * (60\%)^x *(1 - 60\%)^{n-x}\)
Express percentage as decimal
\(P(x) = ^4C_x * (0.60)^x *(1 - 0.60)^{n-x}\)
\(P(x) = ^4C_x * (0.60)^x *(0.40)^{4-x}\)
When x = 0, we have:
\(P(x=0) = ^4C_0 * (0.60)^0 *(0.40)^{4-0}\)
\(P(x=0) = 1 * 1 *(0.40)^4\)
\(P(x=0) = 0.0256\)
When x = 1
\(P(x=1) = ^4C_1 * (0.60)^1 *(0.40)^{4-1}\)
\(P(x=1) = 4 * (0.60) *(0.40)^3\)
\(P(x=1) = 0.1536\)
When x = 2
\(P(x=2) = ^4C_2 * (0.60)^2 *(0.40)^{4-2}\)
\(P(x=2) = 6 * (0.60)^2 *(0.40)^2\)
\(P(x=2) = 0.3456\)
When x = 3
\(P(x=3) = ^4C_3 * (0.60)^3 *(0.40)^{4-3}\)
\(P(x=3) = 4 * (0.60)^3 *(0.40)\)
\(P(x=3) = 0.3456\)
When x = 4
\(P(x=4) = ^4C_4 * (0.60)^4 *(0.40)^{4-4}\)
\(P(x=4) = 1 * (0.60)^4 *(0.40)^0\)
\(P(x=4) = 0.1296\)
So, the probability distribution is:
\(\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.0256} & {0.1536} & {0.3456} & {0.3456} & {0.1296} \ \end{array}\)
Double spin is a new game the player gets to spin a spinner twice but wins only if the same amount comes up both times. The $100 sector is 1/8 of the circle.
a. What is the expected value when playing this game if you can play the game for free?
c. If it costs $3. 00 for you to play this game, should you expect to break even in the long run?
Answers
a. If you can play the game for free, the expected value is zero since there is no cost and no prize for winning.
How to calculate breaking even?b. To calculate the expected value when it costs $3 to play, we need to first find the probability of winning.
There are 8 possible outcomes on the spinner, and only one of them results in a win, so the probability of winning is 1/8. The probability of losing is 7/8.
The expected value is the sum of the product of each outcome and its probability. Let X be the amount won. Then:
E(X) = (1/8)($100) + (7/8)(-$3)
= $12.50 - $2.63
= $9.87
So the expected value when it costs $3 to play is $9.87. Since the expected value is positive, you can expect to make a profit in the long run.
However, this does not mean that you will win every time you play, as the outcome of each individual game is still random.
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What multiplication equattion can be used to explain the solution to 15 / 1/3
Answers
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
Reciprocal of 1/3 = 3/1
So, the multiplication equation that explains the solution is:
15 * (3/1) = 45
Therefore, 15 divided by 1/3 is equal to 45.
please help me solve this!!!
Answers
Answer:
35
Step-by-step explanation:
3+5+7+9+11
35
use calculator
3) A particularly fast tortoise can run with a top speed of 10 centimeters per second. The tortoise's hare friend hare can run up to 20 times as fast as that. In a race between the two, the hare sits and rests for two minutes after the starting gun fires, but the tortoise moves right off at top speed. After its rest, the hare runs as fist as it can, but the tortoise still wins the race by a single shell length (which is about twenty centimeters). a. During the race, who nuns the greater distance? How do you know? b. Across the entire race, who has the greater average velocity? How do you know? c. At some point in the period during which both are running, who has the larger instantancous velocity? How do you know? 4)
∗+A
particularly fast tortoise can run with a top speed of v
r
. A hare can run with a speed v
μ
. In a race between the two, the hare sits and rests for a time Δt
0
after the starting gun fires, but the tortoise moves right off at top speed. After its rest, the hare runs as fast as it can, but the tortoise still wins the race by a single shell length (length of shell =s ). The length of the racetrack is represented by d. The race is considered over when the tortoise crosses the finish line. a. Using the symbols defined in the problem, write an equation for Δ
T
, the total amount of time that the tortoise ran during the race b. Using the symbols defined in the problem, write an equation for Afu. the total amount of time that the hare spent running. c. Find expressions for the length d of the racetrack and the times that the animals each ran ( Δt
T
and Δt
1
), in terms of only the other symbols defined in the problem ( v
f
,v
m
,s, and Δt
0
- the symbol d can't appear in your expressions for Δf
r
and Δt
i
this time!). 5) ** Oscillococcinum is a real homeopathic 'medicine' that is touted as a relief for flulike symptoms. Its key ingredients are duck liver and heart, which are diluted to ' 200c
’
within the pill material. Meaning: the duck organ is diluted to 1 part in 100, then the dilution is repeated 200 times. After two dilutions, the ratio of duck organ to pill material is 1 in 10
4
, after three, the ratio is 1 in 10
∘
, and so on all the way to 200.) Make an estimate of how many original duck organ molecules are in one Oscillococcinum pill. You may assume that each pill has a mass of about 1 g. Do not use a calculator! Perform all calculations roughly, in your head or on paper. Be sure to clearly state your assumptions and how you came to the numbers you estimated, since grading on this problem will be mostly based on your reasoning, not on your answer. We are not interested in whether you can "guess" a right answer, but in whether you can use your everyday experience to infer information about topics about which you may have little direct knowledge
Answers
a. During the race, the tortoise runs the greater distance. We know this because it is stated that the tortoise wins the race by a single shell length, which is about twenty centimeters. This means that the tortoise crosses the finish line before the hare, indicating that it has covered a greater distance.
b. Across the entire race, the tortoise has the greater average velocity. Average velocity is defined as the total distance traveled divided by the total time taken. Since the tortoise crosses the finish line first, it covers the entire race distance in less time compared to the hare. Therefore, the tortoise has a greater average velocity.
c. At some point during the race, the hare has a larger instantaneous velocity. Instantaneous velocity refers to the velocity of an object at a specific instant in time. The hare is capable of running up to 20 times faster than the tortoise's top speed. Therefore, when the hare is running at its maximum speed after the rest, it will have a larger instantaneous velocity compared to the tortoise.
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Which expression is equivalent to (4x^3)(2x)^-4
1/4x
4/x
8/x
128/x
Of course ima do 100 points, but sadly that means you only get 50 for answering.
Answers
Answer:
1/4x
4/x
128/x
Step-by-step explanation:
Brainliest pls Hit the thank you button
13. What kind of angle is
Answers
The kind of angle that is formed by a floor and a wall is (c) Right
How to determine the kind of angleFrom the question, we have the following parameters that can be used in our computation:
A floor and a wall
The general rule is that
A floor and a wall meet at a right angle
This is so because the floor and the wall are perpendicular
Using the above as a guide, we have the following:
The floor and the wall meet at a right angle
Hence, the kind of angle that is formed by a floor and a wall is (c) Right
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Question
13. What kind of angle is formed by a floor and a wall?
А. Acute
B. Obtuse
C. Right
D. All of the choices
If 70% of a number is 224 and 20% of the same number is 64, find 90% of that number.
Answers
Answer:
the answer is 320.
Step-by-step explanation:
really not that hard. 64*5=320. 224/.7=320.
According to research, what percentage of instructional time is devoted to written computation?
A. 60-70%B. 80-90%C. 60-90%D. 70-90%
Answers
According to research, 60-70% percentage of instructional time is devoted to written computation. So, the correct answer is A).
The instructional time is devoted to written computation can vary depending on the specific study being referred to. However, traditionally, written computation has been a fundamental component of math instruction, and it can occupy a significant portion of instructional time.
Studies have reported that written computation can take up anywhere from 60% to 70% of instructional time. This significant allocation of time to written computation reflects the importance placed on basic computational skills in mathematics education, which are seen as essential building blocks for more advanced mathematical concepts and problem-solving skills. So, the correct option is A),
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Given A(0,-4), B(0,-9), and C(-2,-5). Find the length of BC.
1.5
4.5
5
2.2
Answers
Answer:
4.5
Step-by-step explanation:
B(0,-9)
C(-2,-5)
=> BC = \(\sqrt{(-2-0)^{2} -(-5+9)^{2} } = 4.4721\)
HELP I NEED THE ANSWER FAST its says true or false false ( the absolute of a number can be negative
Answers
Answer:
False
Step-by-step explanation:
Answer: False
Step-by-step explanation: Absolute value is the number of whole numbers the number is away from zero. So it can only be positive because you cannot have a number negative spaces away from zero
solve the rational equation:
pls help
Answers
Answer:
A. x = 1/4
Step-by-step explanation:
Simplify the equation:
(3x^2+1)/(x-1) + x = 4 + 4/(x-1)
(3x^2+1-4)/(x-1) = 4-x
(3x^2-3)/(x-1) = 4-x
Since (3x^2-3) = 3(x^2-1) and x^2-1 = (x+1)(x-1), substitute 3x^2-3 for 3(x+1)(x-1)
3(x+1)(x-1)/(x-1) = 4-x
Cancel (x-1) from the numerator and denominator:
3(x+1) = 4-x
Isolate x:
3(x+1) = 4-x
3x+3 = 4-x
4x = 1
x = 1/4.
x = 1/4 is the only valid solution unless both sides being undefined would count as a valid equation, then x = 1 would also be valid.
Graph the linear equation, I will mark as Brainliest for the best step by step explanation.
Answers
Answer:how to grph linear
Step-by-step explanation: Im not sure what u mean cause u ony put praph liner so im guessing this will help? Im veryyy sry if it dosnt.
To graph a linear equation, we can use the slope and y-intercept.
Locate the y-intercept on the graph and plot the point.
From this point, use the slope to find a second point and plot it.
Draw the line that connects the two points.
Answer:
Step-by-step explanation:
I really need help with this question. Please answer ASAP.
9(-5)=
Answers
Multiple -(9x5)
Answer:
-45
Step-by-step explanation:
9 multiplied by -5 is -45 because when multiplied a positive number to a negative number stay negative
Help me with this below
Answers
Answer:
PlayStation = 175
Step-by-step explanation:
X box = x
PlayStation = x+15
X box + PlayStation = 335
x + x+15 = 335
Combine like terms
2x+15 = 335
Subtract 15
2x+15 -15 = 335-15
2x = 320
Divide by 2
2x/2=320/2
x =160
x box =160
PlayStation = x+15 = 160+15= 175
Answer:
Playstation costs 175 pounds
Step-by-step explanation:
335 = 15 + x + x
335 = 15 + 2x
335 - 15 = (15 - 15) + 2x
320 = 2x
320/2 = 2x/2
x = 160
CHECK WORK:
(15 + 160) + 160 = 335
(175) + 160 = 335
335 = 335
olivia has $250 to buy presents for her 3 sisters and 2 nephews she wants to spend $10 more on each sister than she spends on her nephew
Answers
Olivia plans to spend $44 on each nephew and $54 on each sister, for a total of $250 on presents.
What is variables?
In mathematics, a variable is a symbol or letter that represents a value that can change or vary. Variables are commonly used in algebraic expressions and equations to denote unknown values that need to be determined, or to represent values that can change in a given situation.
For example, in the equation y = 2x + 3, x is a variable that can represent any number, and y is the value that results from multiplying x by 2, adding 3, and solving for y. In this case, x can be any number, so it is a variable.
Let's start by assigning some variables to represent the amounts Olivia spends on each present. Let's call the amount she spends on each nephew "n" and the amount she spends on each sister "s". We know that Olivia has 2 nephews and 3 sisters, so we can write:
2n + 3s = 250
We also know that Olivia wants to spend $10 more on each sister than she spends on her nephew. In other words, the amount she spends on a sister is $10 more than the amount she spends on a nephew:
s = n + 10
Now we can substitute this expression for "s" into the first equation to get:
2n + 3(n + 10) = 250
Simplifying this equation, we get:
5n + 30 = 250
Subtracting 30 from both sides, we get:
5n = 220
Dividing both sides by 5, we get:
n = 44
So Olivia plans to spend $44 on each nephew. Using the equation s = n + 10, we can see that she plans to spend $54 on each sister.
To check that this solution works, we can verify that the total amount Olivia plans to spend on presents is equal to $250:
2(44) + 3(54) = 88 + 162 = 250
Therefore, Olivia plans to spend $44 on each nephew and $54 on each sister, for a total of $250 on presents.
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In 2000, there were 39.8 million Americans without health insurance. This number has increased at an average rate of 1.7 million people per year. Determine when the number of Americans without health insurance will exceed the number in 2002, which was 43.4 million, by 9.8 million.
Answers
Answer:
The time will be the year 2007 in October. { After 5 years and 10 month since 2002}
Step-by-step explanation:
The number of Americans without health insurance in 2000 was 39.8 million.
The rate of increase is averaged at 1.7 million people per year.
The number in 2002 is : 43.4 million.
The year to calculate should exceed the number in 2002 by 9.8 million.
This means the number in that x year should be : 43.4 + 9.8 =53.2 million
The formula for the number of people without insurance cover after x years from 2002 is given by the equation below;
No. = 43.4 + 1.7 x ------------where x is the number of years from the year 2002
53.2 = 43.4 + 1.7 x ------------solve for x as
53.2-43.4 = 1.7x
9.8 = 1.7 x
9.8/1.7 = 1.7/1.7 x
5.765 = x
x = 5.8 years approximately to one decimal place
So from 2002 you add 5.8 years. This means after 5 years and 10 months from 2002 when the number was 43.4 million, the number of people will have increase by 9.8 to reach 53.2 million people.
PLEASE QUICK WILL GIVE BRAINLESS
Which number is the additive inverse of -44 -422 -47 1 2 2
Answers
Answer:
Multiplicative inverse of 2 1 2
The opposite of 212 is −12 . The reciprocal of 212 is 25
Step-by-step explanation:
i need the answer please i've tried working it different ways and i just don't get it
Answers
Answer:
tan A = 12/ 35
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan A = CB/ AB
tan A = 12/ 35
HELP PLS Last year 15 students earned an A in math class. If I had 128 students, what percent of students did NOT earn an A?
Answers
Answer:
88%
Step-by-step explanation:
128-15=113
113/128=.882
88%
A plane flies from San Francisco to New York City at 600 miles per hour and returns along the same route at 400 miles per hour. What is the average flying speed for the entire route (in miles per hour)
Answers
Answer: 500 i think
Step-by-step explanation:
Neil started with $82. He bought four used video games and had $18 remaining.
If each video game cost the same amount, what was the price of each game?
Answers
Answer:
$16 each
Step-by-step Explanation:
82 - 18 = 64
64 ÷ 4 = 16
Wright -9.325 as A mixed number please help me
Answers
Select the statement that describes this expression: 8 + fraction 1 over 2 x (6 − 2) − 1
Answers
Using division, we can find that the best statement that describes the given expression is:
Add 8 to half the difference of 6 and 2, then subtract 1.
Define division?One of the fundamental mathematical operations is division, which entails breaking a bigger number into smaller groups with the same number of components. How many groups will be created, for instance, if 30 pupils are required to be split into groups of five for a sporting event? The division operation can quickly and easily fix such issues. In this case, we must divide 30 by 5. 30 x 5 = 6 will be the outcome. There will be a total of 6 groups, each with 5 pupils. Use the beginning number, 30, which is obtained by multiplying 6 by 5, to check this response.
8 + fraction 1 over 2 x (6 − 2) − 1.
The above is expressed mathematically as:
8 + 1/2(6 - 2) - 1
Therefore, the statement that describes this expression from the options given correctly is :
Add 8 to half the difference of 6 and 2, then subtract 1.
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We can use division to determine that the following statement best captures the meaning of the given expression:
To make up the difference between 6 and 2, add 8 and then take away 1.
Define division?Division, which involves dividing a larger number into smaller groups with the same number of components, is one of the basic mathematical operations. For instance, if 30 students must be divided into groups of five for a sporting event, how many groups will be formed. Such problems can be rapidly and readily resolved by the division operation. In this instance, we need to multiply 30 by 5. The outcome is 30 x 5 = 6.
There will be 6 groups in total, each with 5 students. To verify this response, use the starting number, 30, which is produced by dividing
6 by 5.
1 x (6 x 2) + 8 plus fraction 1 over 2 = 8.
The following can be represented mathematically:
8 + 1/2(6 - 2) - 1
Therefore, from the available possibilities, the statement that accurately represents this expression is:
To make up the difference between 6 and 2, add 8 and then take away 1.
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Giving brainliest to best answer
Answers
Answer:
Questions??
Step-by-step explanation:
Will you mark me as brainlist?