Answer:
b = 12
Step-by-step explanation:
Using the Pythagorean Theorem:
a² + b² = c²
You can identify that 12√12 is the hypotenuse, as it is opposite to the right angle.
So:
12² + b² = (12√2)²
144 + b² = [(12√2) (12√2)]
144 + b² = (12 × √2 × 12 × √2)
144 + b² = (144 × 2)
144 + b² = 288
b² = 144
√b² = √144
b = 12
in the citation 319 n.w. 2d 459, the number 459 represents the
The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.
In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.
To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.
In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.
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Seun, tayo and dayo are to share n120 in the ratio 4:3:2 respectively. what is the sum of the shares of seun and dayo? a. n93.33 b. n80.00 c. n66.67 d. n40.00
The sum of the shares of seun and dayo is n80.00.
What is ratio?A ratio shows how frequently a number encompasses another. If you have eight oranges and six lemons in a fruit plate, the orange-to-lemon ratio is eight to six. Similarly, the orange-lemon ratio is 6:8, and the orange-to-total fruit ratio is 8:14.
Given that,
Seun, tayo and dayo are to share n = 120 in the ratio 4:3:2 respectively.
Here n = 120
Seun ,tayo and dayo = 4:3:2
Seun shares = 120 × \(\frac{4}{9}\)
seun shares = 120 × 0.44
seun shares = 53.33
dayo shares = 120 × \(\frac{2}{9}\)
dayo shares = 120 × 0.22
dayo shares = 26.67
Sum of the shares of seun and dayo is 53.33 + 26.67
Sum of the shares of seun and dayo is 80.00
Therefore, the sum of shares of seun and dayo is 80.00.
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What is the coefficient of 5x² in 5x² 5x?
Answer:
Step-by-step explanation:
i think 1
hospital would like to determine the mean length of stay for its patients having abdominal surgery. a sample of 2222 patients revealed a sample mean of 5.75.7 days and a sample standard deviation of 1.61.6 days. assume that the lengths of stay are approximately normally distributed. find a 95�% confidence interval for the mean length of stay for patients with abdominal surgery. round the endpoints to two decimal places, if necessary.
Rounding to two decimal places, the confidence interval of the mean length of stay for patients who have had abdominal surgery is (5.03, 6.37).
To find the 95% confidence interval for the mean length of stay for patients with abdominal surgery, we can use the formula:
CI = \(\bar{X}\) ± Z * (σ / √n)
where:
CI = Confidence Interval
\(\bar{X}\) = Sample mean
Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of 1.96)
σ = Population standard deviation (since we don't have the population standard deviation, we'll use the sample standard deviation as an estimate)
n = Sample size
Given the information:
Sample mean (\(\bar{X}\)) = 5.7 days
Sample standard deviation (σ) = 1.6 days
Sample size (n) = 22
When the values are entered into the formula, we obtain:
CI = 5.7 ± 1.96 * (1.6 / √22)
Calculating this, we find:
CI = 5.7 ± 1.96 * (1.6 / 4.69)
CI = 5.7 ± 1.96 * 0.341
CI = 5.7 ± 0.668
Rounding to two decimal places, the confidence interval of the mean length of stay for patients who have had abdominal surgery is (5.03, 6.37).
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9x + 3y = 14 what is y
2102 subscript 3 + 1001 subscript 3
Answer:
\(10110_3\)Explanation:
Given the sum:
\(2102_3+1001_3\)The sum (in base 3) is evaluated below:
The answer is 10110 (in base 3).
Odell and Kershaw run for minutes on a circular track. Odell runs clockwise at and uses the inner lane with a radius of meters. Kershaw runs counterclockwise at and uses the outer lane with a radius of meters, starting on the same radial line as Odell. How many times after the start do they pass each other
The correct number times to travel radius is 47 .
What is Radius ?
Radius is defined as a line member joining the center to the boundary of a circle or a sphere. The length of the compass remains the same from the center to any point on the circumference of the circle or sphere. It's half of the length of the periphery.In figure, the compass is defined as a line member joining the center of the circle or a sphere to its circumference or boundary. It's an important part of circles and spheres which is generally shortened as' r'. The plural of compass is" diameters" which is used when we talk about further than one compass at a time. The largest line member in a circle or sphere joining any points lying on the contrary side of the center is the periphery, and the length of the compass is half of the length of the periphery. It can be expressed as d/ 2, where'd' is the periphery of the circle or sphere.We first find the amount of minutes, k, until Odell and Kershaw's next meeting. Let a be the angle in radians between their starting point and the point where they first meet, measured counterclockwise. Since Kershaw has traveled 300k meters at this point and the circumference of his track is , .
Similarly, . Since Odell has traveled 250k meters in the opposite direction and the circumference of his track is .
Solving for a in the second equation, we get . Then, from the first equation, we have .
Solving for k, we get k = . After k minutes, they are back at the same position, except rotated, so they will meet again in k minutes. So the total amount of meetings is .
Hence,
47 times after the start they pass each other.
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If Odell runs at a speed of 250 meters per minute and Kershaw runs at a speed of 300 meters per minute for 30 minutes when the radii are 50 meters and 60 meters then they will pass 23 times each other.
Given that Odell runs at a speed of 250 meters per minute and Kershaw runs at a speed of 300 meters per minute for 30 minutes and the radii are 50 meters and 60 meters
We are required to find the number of times Odell and Kershaw meets each other.
Circumference of the lane for Odell=2*3.14*50=314 meters.
Circumference of the lane for Kershaw=2*3.14*60=376.8 meters.
Distance that Odell covers in 30 minutes at a speed of 250 meters per minute=250*30=7500 meters.
Distance that Kershaw covers in 30 minutes at a speed of 300 meters per minute=300*30=9000 meters.
Rounds made by Odell=7500/314=23.88
Rounds made by Kershaw=9000/376.8=23.88
So they meets 23 times each other.
Hence if Odell runs at a speed of 250 meters per minute and Kershaw runs at a speed of 300 meters per minute for 30 minutes when the radii are 50 meters and 60 meters then they will pass 23 times each other.
Question is incomplete as the following information should be included:
Odell runs at a speed of 250 meters per minute and Kershaw runs at a speed of 300 meters per minute for 30 minutes and the radii are 50 meters and 60 meters.
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Please help first correct will get brianliest. Find the value of x that makes DEF XYZ
Answer:
x = 7
Step-by-step explanation:
The larger triangle is twice as big as the smaller triangle. Therefore, the length of the side EF is twice as large as the side YZ.
I multiplied 4.5 (the length of YZ) and 2 to get 9. The value of side EF is 3x-12 and should be equivalent to 9.
3x - 12 = 9
I solved this equation by adding 12 to both sides and dividing 3 on both sides.
The value of x is 7.
In fact, weather on consecutive days depends on similar atmospheric conditions and therefore consecutive days are not independent events.With the weather forecast of the previous exercise, the probability that it rains over the weekend (either Saturday or Sunday) isA. 0.7516B. 0.3758 C. 0.2484D. Because consecutive days are not independent, we cannot compute P(rain both days) with the information given.
Question is incomplete :
The weather forecast for the weekend is a 46% chance of rain for Saturday and a 54% chance of rain for Sunday. If we assume that consecutive days are independent events, What is the probability that it rains over the weekend (either Saturday or Sunday)? Please use 3 decimal places.
In fact, weather on consecutive days depends on similar atmospheric conditions and therefore consecutive days are not independent events.With the weather forecast of the previous exercise, the probability that it rains over the weekend (either Saturday or Sunday) isA. 0.7516B. 0.3758 C. 0.2484D. Because consecutive days are not independent, we cannot compute P(rain both days) with the information given.
Answer:
0.7516 ;
D.) Because consecutive days are not independent, we cannot compute P(rain both days) with the information given.
Step-by-step explanation:
Let :
Saturday = A ; Sunday = B
P(A) = 0.46 ; P(B) = 0.54
If A and B are independent :
P(AuB) = P(A) + P(B) - P(AnB)
P(AnB) = P(A) * P(B) = 0.46 * 0.54 = 0.2484
P(AuB) = 0.46 + 0.54 - 0.2484
P(AuB) = 0.7516
If A and B are not independent, and how the weather on Saturday affect the weather on Sunday and vice versa. Hence, we cannot compute AuB
If one zero of the polynomial (3
2 + 8 + ) is the reciprocal of the
other, then find the value of k
If one zero of the polynomial 3x^2 + 8x + k is the reciprocal of the
other, then k = 3 by applying product of roots formula.
The quadratic polynomial is 3x^2 + 8x + k.
Let the roots of 3x^2 + 8x + k be m and n where m and n are reciprocal of each other. Therefore, n = 1/m
Thus, the product of roots is = m*n = m*(1/m) = 1 ____(1)
The general equation of a quadratic equation can be written as,
ax^2 + bx + c = 0
where a and b are coefficients of x^2 and x respectively and c is a constant term.
From product of roots formula we know that,
Product of roots =constant term/ coefficient of x^2 = c/a
Therefore, for polynomial is 3x^2 + 8x + k we get,
Product of roots = k/3 ____(2)
From equating equation (1) and (2) we get,
k/3 = 1
⇒ k = 3
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The given question is incomplete, the complete question is
"If one zero of the polynomial 3x^2+8x+k is the reciprocal of the other, then find the value of k."
how much volume in one grain of rice
A grain of rice contains about 0.029 milliliters of volume.
A grain of rice is a tiny, ingestible seed that comes from either Oryza sativa (Asian rice) or Oryza glaberrima, two types of grass (African rice). A single grain of rice is round or oval in shape and measures about 3–4 millimeters in length. A grain of rice has a volume of 0.029 milliliters and a mass of approximately 0.05 grams. The type of rice and the method of processing affect the size and form of a single grain of rice. Over half of the world's population relies heavily on rice as a source of nutrition and as a staple food in many different cultures. Sushi, risotto, rice pudding, and many more recipes all use rice as an ingredient.
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what a solution the sum of the measures of the interior angles of a convex 16-gon?
The sum of the measures of the interior angles of a convex 16-gon is 2520 degrees.
Therefore the answer is 2520 degrees.
A convex polygon is a polygon in which all interior angles are less than or equal to 180 degrees and all line segments connecting any two points within the polygon lie completely within the polygon.
The sum of the measures of the interior angles of a convex polygon with n sides is given by the formula:
(n-2) * 180 degrees.
For a convex 16-gon, the number of sides is n=16, so substituting into the formula we get:
(16-2) * 180 = 14 * 180
= 2520 degrees.
Therefore, the sum of the measures of the interior angles of a convex 16-gon is 2520 degrees.
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How do I find the value of y if M is the midpoint of LN.
LM = 9y-4
MN = 6y+5
The value of y is 3.
Given,
M is the midpoint of LN.
LM = 9y-4
MN = 6y+5
We need to find the value of y.
We have,
M is the midpoint of LN.
This means,
LM = MN
LM = LN/2
MN = LN/2
Now,
LN = LM + MN
LN = 9y - 4 + 6y + 5
LN = 15y + 1
Solve MN = LN/2.
We have,
MN = 6y + 5
6y + 5 = (15y + 1) / 2
Multiply 2 on both sides
2 x (6y + 5) = 15y + 1
12y + 10 = 15y + 1
Keep like term on one side.
10 - 1 = 15y - 12y
9 = 3y
Dividing both sides by 3
3 = y
y = 3
Thus the value of y is 3.
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The product of two numbers is negative. What conclusion can you draw about the sign of the quotient of the same numbers? *
Answer:
The quotient is negative.
Step-by-step explanation:
The rules of signs for multiplication and division of two numbers are the same.
If you multiply or divide two numbers with the same sign (both positive or both negative), the answer is positive.
If you multiply or divide two numbers with different signs (one positive and one negative), then the answer is negative.
Since the product is negative, then the quotient is also negative.
Answer: The quotient is negative.
After graduating from business school, George Clark went to work for a Big Six accounting firm in San Francisco. Because his hobby has always been wine making, when he had the opportunity a few years later he purchased five acres plus an option to buy 35 additional acres of land in Sonoma Valley in Northern California. He plans eventually to grow grapes on that land and make wine with them. George knows that this is a big undertaking and that it will require more capital than he has at the present. However, he figures that if he persists, he will be able to leave accounting and live full time from his winery earnings by the time he is 40.
After graduating from business school, George Clark made a strategic move by joining a Big Six accounting firm in San Francisco. However, he did not forget his passion for wine-making and took the opportunity to purchase land in Sonoma Valley. This showcases the importance of having a hobby and how it can potentially lead to a lucrative business venture.
Starting a winery is not an easy task and George is aware of this fact. He recognizes the need for additional capital and plans to persist until he can leave his accounting job to focus on his winery full-time. This highlights the importance of having a solid business plan and a long-term strategy. George understands the need for patience and hard work, as his winery may not be profitable in the short-term, but can provide a comfortable living in the long run.
George's decision to pursue his passion for winemaking also highlights the importance of finding work-life balance. Despite having a successful career in accounting, he recognized the importance of following his heart and pursuing his passion. This serves as a reminder to individuals to prioritize their passions and make time for hobbies outside of their work life.
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the mean will be higher than the median in any distribution that:_____.
"The mean will be higher than the median in any distribution that" ;
has a positively skewed distribution
A positively skewed distribution is one in which the majority of data values are clustered towards the lower end of the range, while the rest of the values are spread out towards the higher end of the range. As a result, the mean (the average of all the data values) will be higher than the median (the middle value of the data set).
This is because the mean is affected by the higher values in the distribution, while the median is not.
Positively skewed distributions are common in real-world data sets and are often seen in income distributions, stock market returns, and other economic data.
For example, a distribution of incomes may have a few very high earners pushing up the mean, while the majority of people make much lower amounts, resulting in a median that is lower than the mean.
Similarly, stock market returns may have a few very large returns that pull the mean up, while the majority of returns are much lower, resulting in a median that is lower than the mean.
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(m-2)5 = m3
True or False
The Atlas V Rocket could go 1 full mile in just
1
10
of a second. How fast did it travel?
10 miles per second
________________
A plant is already 13.50 meters tall and will grow 6 centimeters every month. the height of the plant, h (in meters), after x months is given by the following. h=0.06x+13.50 what is the height of the plant after 40 months?
The plant's height will be 16 meters(15.9).
What is linear equation?Ax + By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.Finding both intercepts of an equation in this style is quite easy (x and y). Additionally, when resolving systems of two linear equations, this form is highly helpful.
A plant will add 6 centimeters to its height each month and is presently 13.50 meters tall.
After x months, the plant's height, H (in meters), is given
h = 0.06x+13.50
13.50 meters/month
Substitute 40 for x
=0.06(40) + 13.50
=15.9
=16 meters
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Mrs. Smith is making cookies. Her recipe calls for 6/8 cup of white sugar and 2/4 cup of brown sugar. How much sugar will Mrs. Smith use all together to make the cookies?
Answer:
10/8 or 1 and 2/8
Step-by-step explanation:
You can convert 2/4 into 4/8 then all you have to do from there is just add to get 10/8.
Hope I could help! :)
You bought 4 boxes of facial tissue for $3.79. which is the better buy than the one you made?
Helpful conversions: 1 acre =43,560 square feet 1 hectare =10,000 square meters 1lb=454 grams 1 kg=2.2lbs=1000grams 1. Scouting for cover crop establishment in the field requires conversion of your massbased seeding rate (e.g., lbs/acre) to a population-based establishment rate (e.g., plants/f? ). Let's practice doing that. Convert the following seeding rates: a. Cereal rye - 60 ibs/acre = H seeds/square foot b. Crimson clover −15 kg/ha= H seeds/square meter 2. Convert the following population-based seeding rates to mass-based seeding rates. a. Oats −30 plants/square foot = Ibs seedlacre b. Hairy vetch −20 plants/square meter = kg seedsha 3. Your farm manager wants you to drill crimson clover seed, but the seed hasn't arrived yet and you don't know if it's coated or not. If the seed is not coated, the seeding rate is 20 blacre. Will you need to increase or decrease your seeding rate if the seed is coated?
Coating the seed typically improves seed quality and germination rates, so the same seeding rate can be maintained even with coated seed.
To convert mass-based seeding rates to population-based establishment rates, we need to consider the area conversion factors provided:
a. Given a seeding rate of 60 lbs/acre for cereal rye, we can convert it to seeds per square foot by using the conversion factor of 1 acre = 43,560 square feet.
b. Given a seeding rate of 15 kg/ha for crimson clover, we can convert it to seeds per square meter using the conversion factor of 1 hectare = 10,000 square meters.
To convert population-based seeding rates to mass-based seeding rates, we can use the given area conversion factors:
a. Given a seeding rate of 30 plants/square foot for oats, we can convert it to pounds of seed per acre.
b. Given a seeding rate of 20 plants/square meter for hairy vetch, we can convert it to kilograms of seed per hectare.
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What is 1c, (look at photo) I will make you brainliest!!!!
Answer:
p=4 and q could be any real number (except 1 because then CD would not be a line since the points would lie on top of each other).
Step-by-step explanation:
For CD to be horizontal, both of the y coordinates for CD need to be equal. Since we are already given one of the y coordinates (the y coordinate for D is 4), then we know that the y coordinate for C (p) is 4 as well). Since it doesn't really matter what q is (any value of q except 1 would create a horizontal line with point C as long as p=4), it is any real number except 1.
State the property that justifies the following statement.
If 7(x-3)=35, then 35=7(x-3).
The property that justifies the following statement, if 7(x-3)=35 then 35=7(x-3) is the symmetric property.
Symmetric property is one of the properties of equality which states that if there is an equality sign (=) between two values or numbers, then the two values will always remain equal even if you change the sides of the values. Therefore if ab = cd, then cd = ab
Hence, according to this property, the left side of the equation can be transferred to the right side and the right side of the equation can be transferred to the left side as the order of the equation can be ignored.
The symmetric property also justifies that if the values on the two sides are not equal, then they will remain unequal even if the sides are changed. That is if ab ≠ cd, then cd ≠ ab.
So, according to the symmetric property, the statement, if 7(x-3)=35 then 35=7(x-3) is valid.
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Plz help!!!!! Will give brainliest answer
Answer:
answer is 4 goals per hour
Step-by-step explanation:
12 Divided by 3 is 4
Answer:
4 goals per hour.
Step-by-step explanation:
A data set has 10,000 records and 30 predictor variables (columns). Each variablehas 5% of the values missing for that individual variable. The missing values are spread randomly and independently throughout the data set. The analyst uses apredictive model that automatically drops any row (record) that has even a singlemissing values on any of the variables. How many records would be dropped fromthe analysis
10,000 records have 30 predictor variables, each with 5% of the values missing, resulting in 15,000 missing values. The predictive model drops any row with even a single missing value, so 5,000 records would be dropped from the analysis.
1. There are 30 predictor variables.
2. Each variable has 5% of the values missing.
3. 5% of 10,000 records = 500 records.
4. 30 variables x 500 records = 15,000 missing values.
5. 10,000 records - 15,000 missing values = 5,000 records dropped from the analysis.
The data set has 10,000 records and 30 predictor variables. Each variable has 5% of the values missing, so 500 records are missing for each variable. This results in 15,000 missing values spread randomly and independently throughout the data set. The analyst uses a predictive model that drops any row (record) with even a single missing value, so 5,000 records would be dropped from the analysis.
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pls answer. On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses the y-axis at (0, 2) and the x-axis at (2, 0). What is the range of the function on the graph? all real numbers all real numbers less than or equal to –1 all real numbers less than or equal to 3 all real numbers less than or equal to 0
Range: All real numbers greater than or equal to 3. The Option C.
What is the range of the function on the graph formed by the line?To find the range of the function, we need to determine the set of all possible y-values that the function takes.
Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.
Therefore, the range of the function is all real numbers greater than or equal to 3.
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Aship leaves port on a bearing of 34 0 and travels 13,5 mi. The ship then turns due east and travels 3.7 mi. How tar is the ship from port, and what is its bearing from port?
The ship is approximately 14.879 miles away from the port, and its bearing from the port is approximately 26.35°.
To find the exact values of the ship's distance from the port and its bearing from the port, we can perform the necessary calculations.
Ship's movement on a bearing of 34.0°:
Horizontal component = 13.5 mi * cos(34.0°) ≈ 11.1764 mi
Vertical component = 13.5 mi * sin(34.0°) ≈ 7.3564 mi
Ship's movement due east:
Horizontal component = 3.7 mi
Vertical component = 0
Vector addition:
Horizontal displacement = 11.1764 mi + 3.7 mi ≈ 14.8764 mi
Vertical displacement = 7.3564 mi + 0 ≈ 7.3564 mi
Distance from the port:
Distance = √(Horizontal displacement² + Vertical displacement²)
= √(14.8764 mi² + 7.3564 mi²)
≈ √(221.142 m²)
≈ 14.879 mi
Bearing from the port:
Bearing = arctan(Vertical displacement / Horizontal displacement)
= arctan(7.3564 mi / 14.8764 mi)
≈ 0.4601 rad (in radians)
≈ 26.35° (in degrees)
The ship is approximately 14.879 miles away from the port. The ship's bearing from the port is approximately 26.35°.
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--The given question is incomplete, the complete question is given below " Aship leaves port on a bearing of 34.0° and travels 13.5 mi. The ship then turns due east and travels 3.7 mi. How tar is the ship from port, and what is its bearing from port?"--
Determine the type of angles.
Determine which lines, if any, are parallel.
Name the transversal.
1. Angles 2 and 6 are linear angles. 2. One name is transversal A
3. None are parallel for <2 + <6 = 180°
What are Linear Pair Angles?Linear pair angles are a pair of adjacent angles formed when two lines intersect. These two angles together form a straight line or a 180-degree angle.
In other words, when two lines intersect, the adjacent angles on either side of the intersection form a linear pair. Linear pair angles are also known as supplementary angles, which means that their sum is equal to 180 degrees.
Therefore, we have:
1. Angles 2 and 6 are linear angles because they lie on a straight line.
2. They lie on transversal A.
3. No pair of lines needs to be parallel for <2 + <6 = 180 degrees. The answer is none.
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what is the initial value for g(x) = 3(1/4)^(x-2) - 3
Answer: g(1) = 9
Step-by-step explanation:
g(x) = 3(1/4)^(x-2) - 3
g(1) = 3(1/4)^(1-2) - 3
g(1) = 3(1/4)^(-1) - 3
g(1) = 3(4) - 3
g(1) = 12 - 3
g(1) = 9