According to the solution we have come to find that, When x = 3, we have g(3) = (1/7)³ = 1/343.
what is function?In mathematics, a function is a rule or a set of instructions that maps each input value (or an element from the domain) to exactly one output value (or an element from the range). A function can be thought of as a machine that takes an input, performs some operation on it, and gives an output.
For example, let's consider the function f(x) = x². Here, the input is x, and the function performs the operation of squaring the input. For any value of x, the function will return the output which is the square of that value.
here are the values of g(x) for each of the given x-values:
When x = -1, we have g(-1) = \((1/7)^{-1}\) = 7.
When x = 0, we have g(0) = \((1/7)^{0}\) = 1.
When x = 1, we have g(1) = \((1/7)^{1}\) = 1/7.
When x = 2, we have g(2) =\((1/7)^{2}\) = 1/49.
When x = 3, we have g(3) =\((1/7)^{3}\) = 1/343.
So the values of g(x) for the given x-values are:
g(-1) = 7
g(0) = 1
g(1) = 1/7
g(2) = 1/49
g(3) = 1/343
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7.71 divided by 10 I don’t get how to do this
Answer: 0.771 you are welcome
Select the number that round to 387.4 when rounded to the nearest tenth.
A. 387.461
B. 387.344
C. 387.309
D. 387.352
E. 387.779
Answer:
D
Step-by-step explanation:
When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"
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The diagram shows a right-angled triangle.
24 cm
18 cm
_Not to scale
Calculate the value oft. Give your answer correct to 1 decimal place.
Answer:
can i have a photo, please?
Step-by-step explanation:
Your best friend, who is on spring break in Europe, e-mailed you that the temperature in Paris today is . Use the formula F
, where F is degrees and C is degrees , to find the approximate Paris temperature in degrees .
Answer:
Assuming your friend said the temperature over there was 68 degrees Fahrenheit in degrees C it would be 20 °CStep-by-step explanation:
The question is not complete, as the information, your best friend in Europe about the temperature over there is missing, nevertheless, we can proceed with this problem by plugging in an assumed temperature.
The expression for conversion from degrees F to degrees C is given as
T(°C) = (T(°F) - 32) × 5/9
Now say temperature your friend e-mailed you is 68 degrees Fahrenheit (you can as well plug in your own value)
T(°C) = (68°F - 32) × 5/9
T(°C) = (36) × 5/9
T(°C) = 180/9 = 20 °C
T(°C) = 20 °C
find an angle x where sin x = cos x (I know this has been answered but I rlly don't get it..)
Answer:
45 degrees
Step-by-step explanation:
sin x=cos(90-x)
sin(45)=cos(90-45)=cos(45)
Answer:
The answer is 45.
sin45=cos45= 1/√2.
hope it helps u ...
Which type of sampling method is being employed in the following example?
The principle of Phoenix High School is conducting an in depth study of graduates since
she has been there. Firstm she creates a list of every student that has graduated since
she has been principle and assigns each graduate a number 1 to 1241. She then has a
computer randomly select 40 numbers between 1 and 1241 to determine which
students she will include in her sample.
O Simple Random Sampling
O Stratified Sampling
O Cluster Sampling
O Sampling of Convenience
O Systematic Sampling
The sampling method used in this problem is classified as:
Simple Random Sampling
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.In this problem, all the options are assigned a number and then taken, hence a Simple Random Sample is used.
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What is the value of n?
Enter your answer in the box.
n = __ cm
The value of the missing segment n using the product of intersecting chord theorem is 14cm
Using the product of intersecting chord principleThe product of the segments of two intersecting chords are equal.
The segments of the chords ;
Chord 1 = 4 and n
Chord 2 = 7 and 8
The principle can be related Mathematically thus ;
4 × n = 7 × 8
4n = 56
Divide both sides by 4
4n/4 = 56/4
n = 14
Therefore, the value of n in the question is 14cm
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Eight upright dominos of increasing height are lined up to be knocked down. The dominos are numbered 0 to 7. The smallest domino, #0, is 4.00 cm tall and will be toppled by a person to start the chain reaction. Each subsequent domino is 12% taller than the one before. What is the height of domino #7?
The height of domino #7 is approximately 6.89 cm tall.
How to solve for the heightThe formula for the nth term of a geometric progression is:
\(a_n = a * r^(^n^-^1^)\)
where:
a is the first term (the height of the smallest domino, 4.00 cm),
r is the common ratio (the growth rate, 1.12), and
n is the term number (for domino #7, n = 7 + 1 = 8, because the sequence starts with domino #0).
Let's plug these values into the formula:
\(a_8 = 4.00 cm * (1.12)^7\)
(Note that we're using 7, not 8, because the first domino is #0, not #1.)
Now, compute the value:
\(a_8 = 4.00 cm * (1.12)^7\)
= 6.89 cm
So, domino #7 is approximately 6.89 cm tall.
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Do the ratios 3/20 and 1/4 form a proportion?
Answer:
yes
Step-by-step explanation:
if the denomentators are dividable, than it is a equivalent equation
Sixty-nine percent of U.S heads of household play video or computer games. Choose 4 heads of household at random. Find the probability that none play video or computer games.
Answer: 0.00923521
Step-by-step explanation:
Given : The probability U.S households play video or computer games=69%=0.69
here, the probability of each U.S household play video or computer games is fixed as 0.69
Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31
For independent events the probability of their intersection is product of probability of each event.
Now, the probability that none play video/computer games will be :-
\((0.31)^4=0.00923521\)
Thelma and Louise ordered take - out from Belle Taco . Thelma ordered 2 tacos and 1 burrito and paid $ 3.79 . Louise ordered 2 burritos and 1 taco and paid . \$4.58
Answer:
A taco cost $1 while a burrito cost $1.79
Step-by-step explanation:
This may be computed as a set of simultaneous equations
Thelma ordered 2 tacos and 1 burrito and paid $ 3.79
let the cost of a taco be t and a burrito b then
2t + b = 3.79
Louise ordered 2 burritos and 1 taco and paid . \$4.58
t + 2b = 4.58
solve both equations simultaneously
multiply the first by 2
4t + 2b = 7.58
t + 2b = 4.58
subtract 2 from 1
3t = 3
t = 1
t + 2b = 4.58
1 + 2b = 4.58
2b = 4.58 - 1
2b = 3.58
Divide both sides by 2
b = 1.79
A taco cost $1 while a burrito cost $1.79
Sketch and label a net of the right triangular prism. Each square on the grid represents
1 square centimeter. Calculate the surface area of the prism by using its net.
The total surface area of the prism is determined as 216 cm².
What is the surface area of the prism?The surface area of the prism is calculated by applying the following formula.
The area of the two triangular faces is calculated as follows;
Area of the two triangles = 2 (¹/₂ x base x height )
Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )
Area of the two triangles = 24 cm²
The area of rectangular faces is calculated as follows;
A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )
A = 192 cm²
The total surface area of the prism is calculated as follows;
Area = 24 cm² + 192 cm²
Area = 216 cm²
The sketch of the triangular prism is in the image attached.
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a Carnival charges $5 to enter, and $2 per ride. If you paid a total of $23, how many rides did you go at the carnival
Answer : 8$
you have 1$ left
simplify the expression.
-5(2x-7) -3x
Answer: -13x+35
Hope this helps! :)
Step-by-step explanation:
-5(2x-7)-3x
(1. Distribute)
-10x+35-3x (2 negatives make a positive when multiplying and dividing)
(2. Combine like terms)
-13x+35 (Add the negatives)
Write a few sentences to describe the picture below. Can you use the words “slide”, “flip”or “turn”in your description?
Answer:
Turn
Step-by-step explanation:
you could say that, "No matter which way you turn the image, it stays the same".
hope this helps :D
HELP PLEASE!!!!!!!!!
Answer:
a 9.70 kg
b 382.61 year
Step-by-step explanation:
Chbcjvhchchchcgchchchchcchhchcjv
Answer:
2308.39 m³
Step-by-step explanation:
The formula of volume of sphere
\( = \frac{4}{3} \pi {r}^{3} \)
The volume of the sphere
\( = \frac{4}{3} \times 3.14 \times {(16.4 \div 2)}^{3} \)
\( = \frac{4}{3} \times 3.14 \times {8.2}^{3} \)
\( = \frac{6925.18208}{3} \)
\( = 2308.394027...\)
= 2308.39 m³ (rounded to the nearest hundredth)
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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According to the quantity equation, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply. Will velocity change over time? What factors might lead to changes in velocity? Are those changes related to changes in the money supply?
Velocity is not constant over time and can be influenced by a variety of factors. Changes in velocity can have implications for the relationship between changes in the money supply and the price level, highlighting the complexity of monetary dynamics in an economy.
According to the quantity equation (MV = PQ), changes in the money supply (M) will lead directly to changes in the price level (P) if velocity (V) and real GDP (Q) remain constant. However, velocity is not necessarily constant over time and can be influenced by various factors.
Velocity represents the rate at which money circulates in the economy, indicating how quickly money is used to facilitate transactions. It is influenced by factors such as changes in consumer and business behavior, technological advancements, financial innovation, and shifts in confidence and trust in the economy.
Changes in velocity can occur due to several reasons. For example:
Changes in Transaction Patterns: Shifts in consumer preferences or business practices can alter the frequency and speed of transactions, affecting how money circulates and influencing velocity.
Financial Innovation: Advancements in payment systems, such as the rise of electronic transactions, online banking, or mobile payments, can potentially impact the velocity of money by facilitating faster and more efficient transactions.
Confidence and Economic Stability: Changes in economic conditions, inflation expectations, or financial stability can influence people's willingness to hold money, affecting velocity.
Monetary and Fiscal Policies: Changes in monetary policy, such as interest rate adjustments or changes in the money supply, can indirectly affect velocity by influencing borrowing and spending behavior.
While changes in velocity can occur independently of changes in the money supply, they can also be related. For instance, if the money supply increases without a corresponding increase in the demand for money (velocity decreases), it can put upward pressure on prices. On the other hand, if velocity increases due to changes in transaction patterns or increased economic activity, it can offset the impact of changes in the money supply on prices.
Overall, velocity is not constant over time and can be influenced by a variety of factors. Changes in velocity can have implications for the relationship between changes in the money supply and the price level, highlighting the complexity of monetary dynamics in an economy.
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Find the distance between point P and line L
The distance between point P and line L is 16/9√(13).
To find the distance between point P and line L, we can use the formula for the distance between a point and a line in two-dimensional space. The formula is as follows:
Let P = (x1, y1) be the point and L be the line ax + by + c = 0. Then the distance between P and L is:
|ax1 + by1 + c|/√(a² + b²)
To find a, b, and c for the given line, we need to put it in slope-intercept form y = mx + b by solving for y.
2x - 3y = 12=> 2x - 12 = 3y=> (2/3)x - 4 = y
The slope of the line, m, is the coefficient of x, which is 2/3. Therefore, the line is:
y = (2/3)x - 4The values of a, b, and c are: a = 2/3b = -1c = -4
Now we can substitute the coordinates of P and the values of a, b, and c into the formula for the distance between a point and a line.
Let P = (3, 5).|a(3) + b(5) + c|/√(a² + b²)= |(2/3)(3) - 1(5) - 4|/√[(2/3)² + (-1)²]= |-4/3 - 4|/√(4/9 + 1)= 16/9√(13).
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it is due today, please help me. If you just want points get out of my question page...
To completely solve the problem, Karim should convert the product back into standard decimal notation.
We cannot directly apply the product of powers property because the binomial is not raised to a power itself.
Miscellaneous problem(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).
0.0258 × \(10^{-8\) = 0.0258 × 0.00000001
= 0.000000000000258
(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.
In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.
To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.
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In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 202, and the standard deviation is 38.2. The following are the scores for some (not all) of her students. Complete the table using the dropdown menus. The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number. For z = 2.00, test score = .For z - -2.00, test score = .
Z-scores are used to standardize a raw score by converting it into the number of standard deviations it is above or below the mean.
The formula to convert a raw score into a z-score is:
z = (X - Mean) / Standard Deviation
Where X is the raw score, Mean is the mean of the population, and Standard Deviation is the standard deviation of the population.
For z = 2.00:
z = (X - Mean) / Standard Deviation
X = (z * Standard Deviation) + Mean
X = (2.00 * 38.2) + 202 = 238.4 + 202 = 440.4 (rounded to nearest whole number = 440)
For z = -2.00:
z = (X - Mean) / Standard Deviation
X = (z * Standard Deviation) + Mean
X = (-2.00 * 38.2) + 202 = -76.4 + 202 = 125.6 (rounded to nearest whole number = 126)
So for z = 2.00, the corresponding test score is 440, and for z = -2.00, the corresponding test score is 126.
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15 POINTS
Using Pythagoras' theorem, calculate the length
of XY.
Give your answer in centimetres (cm) to 1 d.p.
Answer:
13.27 cm
Step-by-step explanation:
I am using (xy) to mean the length of the side xy
7^2 + (xy)^2 = 15^2
49 + (xy)^2 = 225
(xy)^2 = 225-49
(xy)^2 = 176
Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm
ohn needs to serve some beer to a customer. At first he ordered 1 pint then he added 4 ounces more, then he decided to add 1/4 tablespoons more. John only has measuring cups which got him a bit confused. How many cups he needs to serve the customer to make it up to his order?
Answer:
the answer to this question 2 cups
Step-by-step explanation:
2 cups is equal to a pint
Please help with this geometry question!
Answer:
second option
Step-by-step explanation:
\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)
Correct choice is 2Since the two triangles ABE and ADE are congruent, their corresponding sides and angles are equal.
After observing all the options, we can conclude that :
Only angle AED and angle AEB are angles of given triangles and are actually equal.
\( \qquad \large \sf {Conclusion} : \)
Option 2 is correctIn the city map below, 3/4 inch on the map represents 1/2mile.
What is the unit rate?
inches per mile
Answer:
Sinew 1/2 is becoming 1, you multiply be 2. You would then multiply 3/4 buy 2 to get 6/4, or 3/2. This is also 1 and 1/2.
Step-by-step explanation:
PLEASE I NEED HELP the question is,
In the diagram of triangle LAC and triangle DNC below, LA = DN, CA = CN, and DAC is perpendicular to LCN.
a) Prove that triangle LAC = triangle DNC.
b) Describe a sequence of rigid motions that will map triangle LAC onto triangle DNC.
Answer:
1244 DCD
Step-by-step explanation:
How is there a shortage of 2,000 dozen eggs per week at 60 cents?
Answer:
Since the highest peak is 3000 dozens of eggs per week. When 3000 dozens subtract 1000 is a 2000. Which is a decrease hence its shortage.
Step-by-step explanation:
Between which two integers does 7/3 lie?
Answer:
2 and 3
Step-by-step explanation:
7/3=2 1/3
So it lies between 2 and 3
2 1/3 is lesser that 3 but more than 2.
Solve on the interval [0,2pi): 1- cos0= 1/2
Using an inverse trigonometric function, we will find that the solution is:
θ = 1.047
How to solve that equation?Here we want to solve the equation:
1 - cos(θ) = 1/2
Such that θ ∈ [0,2pi)
Now let's return to our equation:
1 - cos(θ) = 1/2
1 - 1/2 = cos(θ)
1/2 = cos(θ)
Now we could apply the inverse cosine function to both sides, then we will get:
Acos(1/2) = Acos(cos(θ))
1.047 = θ
That is the solution.
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