For each value of x, find the corresponding value for f(x).f(x) = 2^xx = -2
Answers
Given the following function:
\(\text{ f\lparen x\rparen= 2}^x\)Let's determine f(x) at x = -2
We get,
\(\text{ f\lparen-2\rparen= 2}^{-2}\text{ = }\frac{1}{2^2}\text{ = }\frac{1}{4}\)Therefore, the answer is 1/4.
Related Questions
find the number of ways to select 3 pages in ascending index order
Answers
The number of ways to select 3 pages in ascending index order depends on the total number of pages available.
To find the number of ways to select 3 pages in ascending index order, we can use the concept of combinations . In combinatorics, selecting objects in a specific order is often referred to as permutations. However, since the order does not matter in this case, we need to consider combinations instead.
The number of ways to select 3 pages in ascending index order can be calculated using the combination formula. Since we are selecting from a set of pages, without replacement and order doesn't matter, we can use the formula C(n, k) = n! / (k! (n-k)!), where n is the total number of pages and k is the number of pages we want to select.
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Graph the given function.
f(x) = 7^x
Which key features apply to the graph?
A. The graph has an asymptote at y = 7 and is increasing as x approaches positive infinity.
B. The graph has an asymptote at y = 0 and is increasing as x approaches positive infinity.
C. The graph has an asymptote at y = 0 and is decreasing as x approaches positive infinity.
D. The graph has an asymptote at y = 7 and is decreasing as x approaches positive infinity.
Answers
the total cost of a pizza and 3 drinks is 19$. the price of the pizza is 10 and each drink is the same price, d
Answers
Answer:
it the second one
Step-by-step explanation:
the pizza is 10 bucks. The 3 drinks all together cost 9 dollars. 3 times 3 is nine.
The correct representation is (b)
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Total cost of a pizza and 3 drinks is 19$.
If pizza cost 10.
Then, remaining drinks costs = 19-10
= 9$
If each drinks carry equal price, so
= 9/3
= 3$
Each drinks cost $3.
Hence, the correct representation is (b): 10, d, d, d.
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Combine the like terms to create an equivalent expression, 4n+6+n−2?
Answers
\(4n + 6 + n - 2 \\ 4n + n + 6 - 2 \\ 5n + 4\)
Answer:
5n+4
Step-by-step explanation:
4n+6+n-2
(4n+n) = 5n
(+6-2) = 4
5n + 4
Help please :) much appreciated
Answers
Answer:
x^2 +2x -5
Step-by-step explanation:
f(x) = 2x+3
g(x) = x^2 -8
f(x)+g(x) = 2x+3+ x^2 -8
Combine like terms
= x^2 +2x -5
convert -0.0647 to Scientific Notation
Answers
Answer:
6.47 x 10^-2
Step-by-step explanation:
Answer: -6.47 × 10^-2
Step-by-step explanation:
move the decimal 2 places to the right
Determine the equation of the circle graphed below.
Answers
The circle has a diameter of 10 and a radius of 5
the radius times itself ( 5 x 5 ) = 25
25 times pi (3.14) = 78.5
so the circle is 78.5, lets say square cm.
and the circumference is 31.41593 or 31.42
we need to find the center point and the length of the radius. The center point is at 5. 1. so h = 5 and k = 1
Now let’s count from the center to a point on the circumference to find the length of the radius. 5
The radius is 5 so r = 5
Now let’s plug everything into the standard form of a circle.
(x - h)²+ (y - k)² = r²
I need help with these questions my crush sent me these to help him answer these but I am bad at maths so someone please help me out and save me.thank you so much
Answers
Answer:
dfffdfsfsfsf
Step-by-step explanation:
This graph shows all the key characteristics of a particular polynomial function. Drag tiles to complete the function rule that could be represented by the graph
Answers
The function rule that could be represented by the graph is given as follows:
y = 2x³ + x - 3.
How to define the function?The first step in defining the function is looking at it's y-intercept, which is the value of y when the graph of the function crosses the y-axis.
This value is of -3, hence the function can be defined as follows:
f(x) = ax^n + x - 3.
Then we look at the behavior of the function. It has an inflection point, as it is concave down and then it becomes concave up, hence:
It's second derivative is of the first degree.It's first derivative is of the second degree.The function is of the third degree, hence n = 3.Thus:
f(x) = ax³ + x - 3.
Then we look at the x-intercept, meaning that when x = 1, y = 0, this the leading coefficient is obtained as follows:
0 = a + 1 - 3
a = 2.
Thus the function is defined as follows:
y = 2x³ + x - 3.
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how many solutions are there to square root x =9
Answers
Answer:
There are 2 solutions to square root x = 9
They are 3, and -3
Step-by-step explanation:
The square root of x=9 has 2 solutions,
The square root means, for a given number, (in our case 9) what number times itself equals the given number,
Or, squaring (i.e multiplying with itself) what number would give the given number,
so, we have to find the solutions to \(\sqrt{9}\)
since we know that,
\((3)(3) = 9\\and,\\(-3)(-3) = 9\)
hence if we square either 3 or -3, we get 9
Hence the solutions are 3, and -3
It takes 45 minutes to drive to the nearest bowling alley taking city streets going 30 miles per hour
(mph). How long will it take to get there using the freeway going 65mph if the distance is the same?
(Round to the nearest minute).
HELLLLPPPPPPP
Answers
Answer:
The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes
Step-by-step explanation:
The given parameters are;
The time it takes through the streets to drive to the nearest bowling alley = 45 minutes
The speed of driving through the streets = 30 miles per hour (mph)
The speed of driving through the freeway to the bowling alley = 65 mph
From the speed of driving through the streets and the time taken we have;
The formula for speed, S, is S = Distance/Time
Therefore, 30 mph = Distance/45 minutes
Where, 1 hour = 60 minutes, 45 minutes = 1/60×45 hour = 3/4 hour
30 mph = Distance/45 minutes = Distance/(3/4 hour)
30 mph = Distance/(3/4 hour)
Distance = 30 mph × 3/4 hour = 22.5 miles
Given that the distance through the freeway and through the streets are the same, we have from speed = Distance/Time;
Time = Distance/Speed
The speed through the freeway = 65 mph while the distance remain 22.5 miles
Therefore;
Time = 22.5 miles/(65 mph) ≈ 0.346 hour ≈ 20.8 minutes
The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes.
find the perimeter of equiveal triangle whose each side is 7cm
Answers
Answer: 21 cm
Step-by-step explanation: The formula for the perimeter of an equilateral is 3 x side.
Here is the formula:
P= 3 x side
P= 3 x 7
P= 21 cm
You must decide whether to buy new machinery to produce product X or to modify existing machinery. You believe the probability of a prosperous economy next year is 0.7. Prepare a decision tree and use it to calculate the expected value of the buy new option. The payoff table is provided below (+ for profits and - for losses).
When entering the answer, do not use the $ symbol. Do not enter the thousand separator. Enter up to 2 decimal places after the decimal point. For example, $6,525.35 must be entered as 6525.35
N1: Prosperity ($) N2: Recession ($)
A1 (Buy New) $1,035,332 $-150,000
A2(Modify) $823,625 $293,648
Answers
The expected value of the "Buy New" option is 724732.60.
Decision Tree:
To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:
Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:
Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)
Substituting the given values in the above formula, we get:
Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60
Therefore, the expected value of the "Buy New" option is 724,732.60.
Conclusion:
To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.
The expected value of the "Buy New" option is 724,732.60.
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What is the average speed of a rock launched 600km from a catapult in 16 seconds?
(km/s)
Answers
Plug the numbers
S=600/16
37.5
A sum of money is to be divided between Alyah, Byron and Cecil. Alyah receives $1 plus one-third of what is left. Byron then receives $6 plus one-third of what remains. Cecil receives the rest, which amounts to $40. How much did Byron receive? (A) $26 (B) $28 (C) $30 (D) $32 (E) $34
Answers
Answer:
(A) $26
Step-by-step explanation:
You want to know the amount Byron received from the distribution to Alyah, Byron, and Cecil, given Cecil received $40.
SetupLet x represent the amount being distributed, and a, b, c represent the amounts received by Alyah, Byron, and Cecil, respectively.
The given relations tell us ...
a = 1 + 1/3(x -1)
b = 6 + 1/3(x -a -6)
c = x -a -b = 40
SolutionSubstituting for b gives us ...
40 = x - a - (6 +1/3(x -a -6)) = x -a -6 -1/3x +1/3a +2 = 2/3x -2/3a -4
44 = 2/3(x -a) . . . . . . . add 4, factor out 2/3
66 = x -a . . . . . . . . . multiply by 3/2
Substituting for a gives us ...
66 = x -(1 +1/3(x -1)) = x -1 -1/3x +1/3 = 2/3x -2/3 = 2/3(x -1)
99 = x -1 . . . . . . . multiply by 3/2
100 = x . . . . . . add 1
DistributionThen ...
a = 1 + 1/3(100 -1) = 1 + 99/3 = 34
b = 6 + 1/3(100 -34 -6) = 6 + 1/3(60) = 26
Byron received $26.
__
Additional comment
Based on results, the "what is left" is the amount after the $1 or $6 distributions are made.
Alyah: $34, Byron: $26, Cecil: $40, for a total of $100.
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When can a correlation coefficient based on an observational study be used to support a claim of cause and effect?
A. When the correlation coefficient is close to −1 or +1.
B. When the scatterplot of the data has little vertical variation.
C. When the correlation coefficient is equal to −1 or +1.
D. Never
Answers
A correlation coefficient based on the observational study cannot be used to support a claim of cause and effect. The correct answer is D: never.
Correlation does not imply causation, and while a strong correlation between two variables may suggest that there is a relationship between them, it does not prove that one variable causes the other. Observational studies are particularly susceptible to confounding variables, which can make it difficult or impossible to determine whether a relationship between two variables is causal or not.
To establish causality between two variables, a randomized controlled experiment is required. In a randomized controlled experiment, the experimenter can manipulate the independent variable and observe the effect on the dependent variable, while controlling for other variables that might affect the outcome. By randomly assigning subjects to different treatment groups, the experimenter can ensure that any differences in the outcome between groups are due to the treatment, rather than some other factor.
Therefore, while a correlation coefficient can be a useful tool for describing the relationship between two variables, it cannot be used to establish causality.
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in an experiment, a 6-sided die is rolled until a 6 appears when the experiment ends. what is the sample space for this experiment? let bn denote the event that n rolls are required to complete the experiment. with p the probability of success, establish the probability distribution for bn
Answers
The probability distribution for bn is:
n | P(bn)
1 | 1/6
2 | (5/6)(1/6)
3 | (5/6)^2(1/6)
4 | (5/6)^3*(1/6)
... | ...
k | (5/6)^(k-1)*(1/6)
... | ...
where k can be any positive integer. Note that this is a geometric distribution with p=1/6.
The sample space for this experiment consists of the sequence of rolls required to obtain the first 6. For example, if a 6 appears on the first roll, then the sample space consists of the single element {6}. If a 6 does not appear on the first roll, then the sample space consists of all possible sequences of rolls that do not include a 6 until the final roll, which is a 6.
More formally, we can represent the sample space as follows:
S = {6, (not 6)(6), (not 6)(not 6)(6), (not 6)(not 6)(not 6)(6), ...}
where (not 6) represents any roll that is not a 6, and each element of the sample space consists of a sequence of (not 6) rolls followed by a 6.
Now, let bn denote the event that n rolls are required to complete the experiment, i.e., the experiment ends with a 6 on the nth roll. The probability of success on any roll is 1/6, and the probability of failure (i.e., rolling a number other than 6) is 5/6. Therefore, the probability of requiring exactly n rolls to obtain the first 6 is:
P(bn) = (5/6)^(n-1) * (1/6)
This is because we must roll a non-6 number on the first n-1 rolls (with probability 5/6 for each roll), and then roll a 6 on the nth roll (with probability 1/6).
Therefore, the probability distribution for bn is:
n | P(bn)
1 | 1/6
2 | (5/6)(1/6)
3 | (5/6)^2(1/6)
4 | (5/6)^3*(1/6)
... | ...
k | (5/6)^(k-1)*(1/6)
... | ...
where k can be any positive integer. Note that this is a geometric distribution with p=1/6.
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Solve for t in the expression 16/t when t = 4.
please help!!
Answers
Answer:
x=16/t
t=4 so
16/4 = 4
4 is your answer.
The admission cost to enter a fair is $5. The cost to ride each ride at the fair is
$1.50. Julie received a 12-off coupon that applies to the admission price. Julie decides
to graph the total cost on the y-axis and the number of rides on the x-axis, using the
equation y =1.50x +5 to represent the total cost, and the equation y =1.50x + 2.50
to represent the discounted cost. Which best describes the appearance of the
discounted cost line to that of the regular cost line?
A. less steep
B. more steep
C. same steepness, discounted cost line closer to the origin
D. same steepness, discounted cost line farther away from the origin
Answers
Answer:
Step-by-step explanation:
ne spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?
First, identify what the question is asking for.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?
Next, identify the numbers.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a b
In which direction is the moon revolving around the Earth?
A. Right
B. Up
C. Left
D. Down
Answers
Answer:
d
Step-by-step explanation:
C)Left
Explanation:
The moon orbits the sun the same way our planets rotate
Find the outputs a and b needed to satisfy the consumer and interindustry demands given in the following figure. See Exercise 24:
Answers
The output a needed to satisfy the consumer and interindustry demands is 12 units, and the output b needed to satisfy the consumer and interindustry demands is 6 number of units.
a) Output a = 12 (units)
b) Output b = 6 (units)
1. Calculate the total consumer demand (CD):
CD = 12 + 20 + 8 = 40 (units)
2. Calculate the total interindustry demand (ID):
ID = 4 + 5 + 9 = 18 (units)
3. Calculate the total production (TP):
TP = CD + ID = 40 + 18 = 58 (units)
4. Calculate the output a and b needed to satisfy the consumer and interindustry demands:
a) Output a = TP - ID = 58 - 18 = 40 (units)
b) Output b = CD - Output a = 40 - 12 = 28 (units)
The output a needed to satisfy the consumer and interindustry demands is 12 units, and the output b needed to satisfy the consumer and interindustry demands is 6 number of units.
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5. in a mixture of raisins and dates, the ratio by weight of raisins to dates is 7 to 3. how many pounds of raisins will there be in 7 pounds of this mixture?
Answers
The pounds of raisins will there be in 7 pounds of this mixture is 49/10 pounds.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that:
In a mixture of raisins and dates, the ratio by weight of raisins to dates is 7 to 3
Let the common factor be x:
7x = raising
3x = dates
7x + 3x = 7
10x = 7
x = 7/10
7x = 7(7/10)
Raisin = 49/10 pounds
Thus, the pounds of raisins will there be in 7 pounds of this mixture is 49/10 pounds.
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at is the volume of this triangular prism? 7m, 24m, 22m
Answers
Answer:
3,696
Step-by-step explanation:
7x24x22 equals 3,696
24x7=168
168x22=3,696
A radio station tower was built in two sections. From a point that is 70 feet from the base of the tower, the angle of elevation to the top of the section is 28 degrees, and the angle of elevation to the top of the second section is 40 degrees. What is the height of the top section of the tower to the nearest tenth of a foot?
Answers
Answer:
21.5 feet
Step-by-step explanation:
d = Distance of the bottom of the tower to the point of observation
x = Height of the top section of the tower
a = Height of bottom section
b = Total height of tower
\(\tan28^{\circ}=\dfrac{a}{d}\\\Rightarrow a=d\tan28^{\circ}\\\Rightarrow a=70\tan28^{\circ}\)
\(\tan40^{\circ}=\dfrac{b}{d}\\\Rightarrow b=d\tan40^{\circ}\\\Rightarrow b=70\tan40^{\circ}\)
\(x=b-a\\\Rightarrow x=70\tan40^{\circ}-70\tan28^{\circ}\\\Rightarrow x=70(\tan40^{\circ}-\tan28^{\circ})\\\Rightarrow x=21.5\ \text{feet}\)
The height of the top section of the tower is 21.5 feet.
Which type of change or reaction always results in a new substance?
chemical change
all answers are wrong
phase change
physical change
Answers
Answer:
Chemical Change-
Figure 1, 2, 3, 4 go where ?
Please help! I’ll give Brainliest !!
Answers
Answer:
figure 1 and figure 2 AA theorem
figure 3 and figure 4 SAS theorem
Have a blessed day and think positive! You got this! :)
Use the diagram to solve. What is 260% of 6?
Percent
Total
100%
100%
20%
20%
20%
260%
A. 3.6
B. 9.6
c. 15.6
D.21.6
Answers
Answer:
15.6 is 260% of 6 I believe
The length of a rectangular picture frame is 16 inches, and the width of the picture frame is 12 inches. What is the length of a diagonal of this picture frame in inches?
Answers
Answer:
20 inches
Step-by-step explanation:
A rectangular object can instead be thought about as two right triangles with the hypotenuse being the diagonal we are solving for.
With this in mind the Pythagorean Theorem can be used to solve for c
c^2=a^2+b^2
A=16 inches
B= 12 inches
C= hypotenuse
C^2=16^2+12^2
C^2=256+144
C^2=400
Take the square root of both sides: C = 20 inches
What is the additive inverse of 1/9
Answers
Please help due tonight
Answers
Answer:
x = 30
Step-by-step explanation:
To get the left side of the triangle, take the square root of the left squares area, 576, to get the two sides a nd b of 24 and 18. Use the Pythagorean theorem (a^2 + b^2 = c^2) to get x = 30
Good luck with your homework :)