Answers
The output of g(x) when x is -2 is 1/3.
How to find output?
To find the output of g(x) when x is -2, we simply substitute -2 into the formula for g(x):
g(-2) = 3⁻²/²
Simplifying the exponent, we get:
g(-2) = 3⁻¹
Now, we need to evaluate 3⁻¹. Recall that any number raised to a negative exponent can be written as its reciprocal raised to the corresponding positive exponent. That is:
a⁻ⁿ = 1/(aⁿ)
In our case, a is 3 and n is 1, so we have:
3⁻¹= 1/(3¹) = 1/3
Therefore, the output of g(x) when x is -2 is 1/3.
Note that 1/3 is already in its simplest form, so we do not need to simplify it any further. We also do not need to round it to two decimal places since it is a fraction.
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Related Questions
3. 2(x − 3)
A) 2
B) −4
C) 2x − 6
D) 2x − 4 4)
Answers
Answer:
C
Step-by-step explanation:
multiply by 2 to be 2x-6
Answer:
x=8//
Step-by-step explanation:
2(x- 3)
or,2x-6
or,X=6+2
hence,X=8//
Most Algebra 1 Formulas for needed for CST
Answers
The below would be most important Algebra 1 Formulas for CST.
Linear Equation:
\(Ax + By + C = 0\)
Equation of Straight Line or Slope:
\(y = mx+b\)
Point-slope form:
\(y-y_{1} = m(x-x_1)\)
Slope when 2 points are given:
\(m = \frac{(y_2 - y_1)}{(x_2-x_1)}\)
Quadratic Equation:
\(Ax^2 + Bx +C = 0\)
When lines are parallel:
Slope of both lines are equal. \(m_1 = m_2\)
When lines are perpendicular:
Slope of perpendicular lines are opposite reciprocals, meaning if the slope of a line \(l_1\) is \(\frac{1}{2}\). The line \(l_2\) perpendicular to \(l_1\) is \(-\frac{2}{1}\).
Work Formula:
Total Work Done = Number of Days \(\times\) Efficiency
where Efficiency is inversely proportional to Time Taken.
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pls
help tis
Null and alternative hypotheses are statements about descriptive statistics. Select one: O True False
Answers
False. Null and alternative hypothesis are not statements about descriptive statistics.
Null and alternative hypothesis are fundamental concepts in hypothesis testing, a statistical method used to make inferences about population parameters based on sample data. These hypothesis are not directly related to descriptive statistics, which involve summarizing and describing data using measures such as mean, median, standard deviation, etc.
The null hypothesis (H0) represents the default or no-difference assumption in hypothesis testing. It states that there is no significant difference or relationship between variables or groups in the population. On the other hand, the alternative hypothesis (H1 or Ha) proposes that there is a significant difference or relationship.
Both null and alternative hypotheses are formulated based on the research question or objective of the study. They are typically stated in terms of population parameters or characteristics, such as means, proportions, correlations, etc. The aim of hypothesis testing is to gather evidence from the sample data to either reject the null hypothesis in favor of the alternative hypothesis or fail to reject the null hypothesis due to insufficient evidence.
Finally, null and alternative hypotheses are not statements about descriptive statistics. Rather, they are statements about population parameters and reflect the purpose of hypothesis testing in making statistical inferences.
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Which of the following matches a quadrilateral with the listed characteristics
below?
1. Figure has 4 right angles
2. Figure has 4 congruent sides
3. Both pairs of opposite sides parallel
OA. Square
OB. Parallelogram
OC. Rectangle
D. Trapezoid
Answers
The Quadrilateral that matches the listed characteristics is a rectangle.
A rectangle is a quadrilateral with four right angles, and two pairs of opposite sides that are parallel. It is also a parallelogram because it has two pairs of parallel sides. However, not all parallelograms are rectangles.
A rectangle also has four congruent angles which makes it a special case of parallelogram. In a rectangle, opposite sides are congruent to each other. Therefore, answer option C. Rectangle matches the given characteristics.
What is a quadrilateral?A quadrilateral is a polygon with four sides. Examples of quadrilaterals include parallelograms, rhombuses, rectangles, squares, and trapezoids. The angles of a quadrilateral add up to 360 degrees.What is a rectangle?
A rectangle is a four-sided figure with four right angles.
Opposite sides of a rectangle are parallel to each other. The length and width of a rectangle are perpendicular to each other. The formula for finding the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. The area of a rectangle is A = lw, where A is the area, l is the length, and w is the width.
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Solve this step by step please! (Both of them)
Answers
A logarithmic expression is a mathematical expression that involves the logarithm function. The logarithm function is the inverse function of the exponential function, and it is used to solve equations involving exponents.
What is the logarithmic expression?For the first expression:
\(log4(n) - log4(81) + log4(251)\)
We can simplify it using the logarithmic identity:
\(log a/b = log a - log b\)
So we have:
\(log4(n/81) + log4(251)\)
We can simplify further:
\(log4((n/81) \times251)\)
And we can simplify it to:
\(log4(251n/81)\)
For the second expression:
\(log2(2x + 6) \times log2(x)\)
We can use the logarithmic identity:
\(log a^n = n log a\)
So we have:
\(log2((2x + 6) \times x)\)
We can simplify further:
\(log2(2x^2 + 6x)\)
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outside temperature over a day can be modeled as a sinusoidal function. suppose you know the temperature is 55 degrees at midnight and the high and low temperature during the day are 71 and 39 degrees, respectively. assuming t is the number of hours since midnight, find an equation for the temperature, d, in terms of t.
Answers
The equation for the temperature, d, in terms of t (the number of hours since midnight), is: d = 16 × sin((π/12) × t) + 55
To find an equation for the temperature, we need to determine the amplitude, period, phase shift, and vertical shift of the sinusoidal function.
The amplitude is half the difference between the high and low temperatures, which is (71 - 39) / 2 = 16 degrees. The period is the number of hours in a day, which is 24 hours. Since the temperature is at its highest point at 12:00 PM (midday), there is no phase shift. The vertical shift is the average of the high and low temperatures, which is (71 + 39) / 2 = 55 degrees.
Putting these values together, the equation for the temperature, d, in terms of t can be written as:
d = 16 × sin((2π/24) × t) + 55
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One letter is chosen at random from the word THANKS. A letter is then chosen at random from the word STARK
1. Write out ALL of the outcomes in the sample space of this chance experiment.
. 2. How many outcomes are in the sample space?
3. What is the probability that the letters chosen are AA?
Answers
1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.
2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.
3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.
1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.
The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.
2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.
Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word
Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.
3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.
Probability of choosing AA = Number of favorable outcomes / Total number of outcomes
Probability of choosing AA = 0 / 30 = 0.
Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.
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A truck enters a highway driving 60 mph. A car enters the highway at the same place 13 minutes later and drives 72 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck?
Answers
Answer:
64.98 minutes or 1 hour and 5
Step-by-step explanation:
When the car enters the highway, the truck has already traveled for 13 minutes, or 13/60 hours, at a speed of 60 mph. So the truck is ahead of the car by a distance of:
distance = speed x time
distance = 60 mph x 13/60 hours
distance = 13 miles
Now, the car is moving faster than the truck, so it will catch up to the truck. The relative speed of the car with respect to the truck is:
relative speed = car speed - truck speed
relative speed = 72 mph - 60 mph
relative speed = 12 mph
The time it will take for the car to catch up to the truck is:
time = distance / relative speed
time = 13 miles / 12 mph
time = 1.083 hours
Convert the time to minutes:
time = 1.083 hours x 60 minutes/hour
time = 64.98 minutes
So, it will take the car approximately 64.98 minutes or 1 hour and 5 minutes to pass the truck.
6ab + 2a²b + 5a²b² - 3ab - 6ab²+ a²b-2a²b²
please help.
Answers
Answer: 3a2b2+3a2b−6ab2+3ab
Step-by-step explanation:By simplifying,
6ab+2a2b+5a2b2−3ab−6ab2+a2b−2a2b2
= 3a2b2+3a2b−6ab2+3ab
Hope this help's You
The results of a survey asking 500 people about their favorite ice cream flavor are shown in the table.
Flavor Number of People
Chocolate 165
Vanilla 135
Strawberry 70
Mint Chip 100
Banana 30
Assuming that there is no real preference between these 5 flavors, for which of these flavors does the experimental probability differ the most from the theoretical probability?
Answers
Answer:
Between Chocolate and Banana
Step-by-step explanation:
Theoretically, I think the experimental probability differs the most between chocolate ice cream flavor and banana ice cream flavor because out of the people surveyed, most people love chocolate and the least love banana.
Please help ty (7th grade)
Answers
Answer:
30. -5 , -2 , -2, 3 , 8
31. -7, -6, -6, 5, 8
32. -26, -15, -12, -12, 10
33. -34, -17, -11, 20, 21
Answer:
30.-5,
Step-by-step explanation:
What is the density, in grams/cubic inch, of a substance with a mass of 6 grams filling a rectangular box with dimensions 2 in x 6 in x 3 in?680.110.17
Answers
The density of a substance is its mass per unit volume.
\(\rho=\frac{m}{V}\)where,
ρ (rho) =density
m=mass
V=volume
in this example
m = 6 grams
V = 2*6*3 = 12*3 = 36 in^3
therefore,
\(\rho=\frac{6}{36}=\frac{1}{6}\)This is the same as:
\(\rho=\frac{1}{6}=0.17\)let f(x)=3x-2 and g(x)=x^2+4 find f(g(12)
Let f(x)=3x-2 and Let g(x)=x^2+4.
Find f(g(12)).
Answers
Answer:
442
Step-by-step explanation:
Find g(12) first.
12^2 + 4 = 144 + 4 = 148.
Now find f(148).
(3 x 148) -2 = 444-2 = 442.
HEEEEEEEEEEEEEEELP ASAP
Answers
Answer:
X=11
Step-by-step explanation:
Vertical angles equal each other.
5x+10 = 7x -12
Then solve for x by placing all the X values on one side and the number values on the other side.
5x+10=7x-12
5x-7x=-12-10
-2x=-22
x=11
suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. how many times would we have to flip the coin in order to obtain a 99% confidence interval of width of at most .18 for the probability of flipping a head? (note that the z-score was rounded to three decimal places in the calculation) a) 164 b) 205 c) 167 d) 212 e) 202 f) none of the above
Answers
The coin is flipped at least 52 times in order to obtain a 99% confidence interval of width of at most . 18 for the probability of flipping a head.
Hence, Option F is correct answer.
In a sample with a number n of people surveyed with a probability of a success of π , and a confidence level of (1-α), we have the following confidence interval of proportions.
\(\pi\) ± z\(\sqrt{\frac{\pi \p(1-\pi )}{n} }\)
z is the z-score that has a pvalue of \(1-\frac{\alpha }{2}\)
Since, the coin is fair, so \(\pi =0.5\).
The margin of error is:
\(M=z\sqrt{(\frac{\pi (1-\pi )}{n} )}\)
99% confidence level:
So \(\alpha =0.01\) ,z is the value of Z that has a p value of 1-\(\frac{0.01}{2}\)=0.995,
so Z= 2.575
How many times would we have to flip the coin ?
We have to flip the coin in order to obtain a 99% confidence interval of width of at most 18 for the probability of flipping a head at least n times.
n is found when M=0.18 .
So
M=\(z\sqrt{\frac{\pi (1-\pi )}{n} }\)
\(0.18=2.575\sqrt{\frac{0.5*0.5}{n} }\)
\(0.18\sqrt{n} =2.575*0.5\)
\(\sqrt{n}=\frac{2.575*0.5}{0.18}\)
\(\sqrt{n} ^{2} =(\frac{2.575*0.5}{0.18} )^{2}\)
n = 51.16
Thus, we have to flip the coin at least 52 times.
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59.2g of sugar is needed to make 8 cakes. How much sugar is needed for 11 cakes?
Answers
Answer:
81.4
Step-by-step explanation:
59.2g is for 8, so to find the price per, 59.2/8=7.4. 7.4*11=81.4
to do this, you’d divide 59.2/8 to get 7.4
from there, you’d multiply 7.4 x 11 to get the require amount of sugar for 11 cakes!! (81.4g)
I need help please, I dont know how to do this
Answers
m=2
because in the other equation, the digit next to x is 2 so m must be 2
Is inverse relationship direct?
Answers
An inverse relationship can not direct.
We know that an inverse proportion represents inverse or indirect relation between two quantities.
In inverse relationship, one value increases while the other value decreases, and vice versa.
But in case of direct relationship, if one quantity increases , the other quantity also increases, and if one quantity decreases , the other quantity also decreases.
When two quantities 'm' and 'n' are inversely proportional to each other, it means when the value of m increases while the value of quantity 'n' decreases, and vice versa.
Also, an inverse relationship always has a negative slope.
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In the picture below, which lines are lines of symmetry for the figure?
Answers
Answer:
1 and 3
Step-by-step explanation:
The lines 1 and 3 divide the shape into 2 identical parts so they are axes of symmetry
The line of symmetry for the given figure is 1 and 3.
We need to find the line of symmetry for the given figure.
What is the line of symmetry?Line symmetry is a type of symmetry where one-half of the object reflects the other half of the object across the line.
In the given figure we can see line 1 and 3 divides the figure into two halves.
Therefore, the line of symmetry for the given figure is 1 and 3.
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need the answers please
Answers
Answer:
8
sqrt(7)
1/2
20
Step-by-step explanation:
4sqrt(2) * sqrt(2) = 4 * sqrt(4) = 4 * 2 = 8
3sqrt(7) - 2sqrt(7) = sqrt(7)
sqrt(7)/(2sqrt(7)) = 1/2
2sqrt(5) * 2sqrt(5) = 2 * 2 * sqrt(25) = 4 * 5 = 20
pleza tell me if this a right i reely needa 100
Answers
Answer:
Yes, all 3 are correct.
Step-by-step explanation:
Answer:no it is not right
Step-by-step explanation:so to get the answer right, you have to add a one as the denominator of the five. Next you have to switch the one and the five to make it a multiplication also called the keep change flip then, you multiply and you are done hope this helps!!!!
Aerial has 0.60$ worth of nickles and dimes he has a total of 7 nickles and dimes altogether
Answers
identify the terms, coefficients, and constants in the expression.
h+9+g
Answers
The number of the terms will be 3. And the coefficient of h and g is 1 and the constant term is 9.
What is polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomial of the two variables is given below.
⇒ h + 9 + g
Where h and g are the variables.
The number of the terms will be 3. And the coefficient of h and g is 1 and the constant term is 9.
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Find the x- and y- intercept in 3x+2y=24
Answers
The x and y intercept of the equation is (8,12)
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. It involves only a constant and a first-order term, where m is the slope and b is the y-intercept.
For 3x +2y = 24
we need to put it to the standard form
2y = 24 - 3x
divide both sides by 2
y = 12 - 3/2x
Here b is 12 and m is -3/2
therefore the y intercept is 12
when y = 0
0 = 12 -3/2 x
3/2 x = 12
3x = 24
divide both sides by 3
x = 24/3 = 8
therefore the x intercept is 8
The x and y intercept of the equation is ( 8,12)
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Which test should the golf pro use to determine if Titleist Pro V1 golf balls travel a longer average distance than Callaway Chrome Soft golf balls?
a. pairedt test for means
b. paredz test for means
c. Ottest for proportions
d. test for means
e. test for means
f. Ottest for proportions
Answers
To determine if Titleist Pro V1 golf balls travel a longer average distance than Callaway Chrome Soft golf balls, the golf pro should use a test for means. There are three types of tests for means: paired t-test, paired z-test, and unpaired t-test.
The paired t-test is used when there are two related samples, such as before and after measurements. The paired z-test is used when the sample size is large and the population standard deviation is known. The unpaired t-test is used when there are two independent samples, such as in this scenario. Therefore, the golf pro should use an unpaired t-test to compare the average distances traveled by the Titleist Pro V1 and Callaway Chrome Soft golf balls.
The golf pro should use option (a) the paired t-test for means to determine if Titleist Pro V1 golf balls travel a longer average distance than Callaway Chrome Soft golf balls. This test is appropriate for comparing the means of two related samples, which, in this case, would be the distances traveled by the two types of golf balls. The paired t-test accounts for any potential differences between the conditions under which the golf balls are tested, ensuring a more accurate comparison of their performance.
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The numbers in this sequence increase by 40 each time
30,70,110,150
the sequnce is continued with the same rule
which number in the sequnce will be closest to 300
Answers
Answer:
The number closest to 300 would end up being 310!
Step-by-step explanation:
6 3/4 ÷1 1/8
HELP ME PLEASE
Answers
Answer: 6
Step-by-step explanation:
6 3/4 x 1 1/8
27/4 x 8/9
Your answer is 6
Cash price 550 000 installment 4500 per month repayment term 240 months determine the total amount if the installment option is used?
Answers
if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.
To determine the total amount if the installment option is used, we need to calculate the total repayment over the 240-month term.
The installment amount per month is $4,500, and the repayment term is 240 months.
Total repayment = Installment amount per month * Repayment term
Total repayment = $4,500 * 240
Total repayment = $1,080,000
Therefore, if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.
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I just need help with this problem and more!! 3. What is the perimeter of the figure shown below, which is not drawn to the scale?
Answers
Answer:
8x+12
Step-by-step explanation:
To find the Perimeter, we need to add all 4 sides together. In this case, we would do:
x+4+x+4+3x+2+3x+2
Now, we have to combine like terms.
x+x+3x+3x=8x.
4+4+2+2=12
The final answer would be 8x+12 or 12 +8x.
You can put whichever answer you want because it doesn't matter.
Hope this helps!
:D
what is her answer ?
Answers
Answer:
4
lolz sorry for a late answer bud
Step-by-step explanation: