Answer:
\(9 (\frac{2}{3})^{n-1}\)
Hope this helps!
Find the area of the triangle with the given
Answer:
616.2442
area to the nearest whole number=616
Step-by-step explanation:
using formula 1/2absinx
where a =44,b=29 ,x=105
1/2x44x29xsin105
44x29=1276
1276÷2=638
638 x sin 105
the sin of 105 is 0.9659
if u are using a four figure table where u can't find 105 under sin of angle
u simply subtract 105 from 180=75
638 x 0.9659 =616.2442
approx.616
Matilda recently took a statistics quiz in her math class. in one question, 45 of 900 visitors at a local craft show were surveyed about the cost of admission to the show. Matilda incorrectly stated that the sample in this situation was represented by 900 visitors at the craft show.
a. what is Matilda's error?
b. what is the actual sample?
Answer:
A. Her error was that she thought that they were surveying the whole town so 900 would be the sample.
B. The actual sample is 45.
Step-by-step explanation:
The actual sample is 45 because 45 people out of the 900 visitors (population) were surveyed.
Write an equation for the line in slope-intercept form.
Please help ASAP!!!
Answer:
y= 3x + 5
Step-by-step explanation:
y
the intecept cross x=3 and y=5
Please help my sister is being super mean and my parents are working please help
Which statement is true about the points shown on the number line?
A)-3.8 1.5, and -3.8 is located to the right of 1.5.
D)-3.8 > 1.5, and -3.8 is located to the left of 1.5.
Answer:
2nd option on the top right
Step-by-step explanation:
The population of a town increases by 5 % every five years. Due to a high rate of industrialisation of
the area, the population witnesses a further 5 % increase due to migration from neighbouring places.
Which of the following can be the population of this place, if it is known that the present population of
the place is between 44000 and 45000?
A) 44100
B)44050
C)44200
Answer:
A
Step-by-step explanation:
Because 105%*105%=1.1205
and the only number divisible by that is A
Find the inputs for the following functions with the given outputs. if there is no possible input for the given output explain why not
A. x=?
f(x)=3x-7
f(x)=-1
B. x=?
f(x)=√2x-6
f(x)=10
c-884= -853solve for c
c-884= -853
solve for c
that means Isolate the variable c
so
step 1
Adds 884 both sides
c-884+884=-853+884
simplify
c=31The Sweet Shoppe sells a half-dozen cupcakes for $16.50. The Cupcake Factory sells a dozen cupcakes for $30.00. Jameska purchases two cupcakes from each shop. What is the difference in the purchases?
The difference in the purchases is $
.
Answer:
$1.50
Step-by-step explanation:
The cost of half of dozen of cupcakes at Sweet Shoppe = $16.50.
The cost of a dozen cupcakes at Cupcake factory = $30.00. Therefore the cost of half a dozen cupcakes at Cupcake factory = $30.00 / 2 = $15.00
The difference in purchases = cost of half a dozen cupcakes at Sweet Shoppe - cost of half of dozen of cupcakes at cupcake factory
The difference in purchases = $16.50 - $15.00 = $1.50
This means that their is a difference of $1.50 for half a dozen cupcakes between the Sweet Shoppe and cupcake factory.
the answer is actually 81
Answer:
okay i'll keep this in mind
Step-by-step explanation:
The pair of points (5, 6) and (10, y) lie on a line with a slope of 4/5. Set up and solve for the missing y-value using the slope formula. Show all work.
Answer:
y = 10
Step-by-step explanation:
calculate the slope m of the 2 points using the slope formula and equate to the given slope.
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (5, 6 ) and (x₂, y₂ ) = (10, y )
m = \(\frac{y-6}{10-5}\) = \(\frac{y-6}{5}\)
equate this expression for m to the given m of \(\frac{4}{5}\)
\(\frac{y-6}{5}\) = \(\frac{4}{5}\) ( cross- multiply )
5(y - 6) = 20 ( divide both sides by 5 )
y - 6 = 4 ( add 6 to both sides )
y = 10
e) A student spent 50 minutes doing her homework. She spent m minutes doing Geography. 2m minutes doing Mathematics and the remaining (m + 7) minutes studying History. How many minutes did she spend doing Mathematics?
Answer: 22 minutes
Step-by-step explanation: m + 2m + m + 7 = 4m + 7
4m + 7 = 50
4m = 44
m = 11
2m = 11 x 2 = 22 minutes
what is the answer ?????????????????????
Answer:
Step-by-step explanation:
First off you need to identify the relationship between the 2 widths. The answer to that is 3 feet in real life = 15 inches in scale drawing. This means multiply by 5 and convert feet to inches. All you need to do is apply this to the height. We have 5 feet, if we multiply by 5 we get 25. Then remember it needs to be inches, so the answer is 25 inches.
PLEASE HELP QUICKLY!
Which table shows a proportional relationship between x and y?
A. x y
1 2
2 4
3 8
B.x y
0 0
1 1
2 4
C. x y
0 4
1 8
2 12
D. x y
1 4
2 8
3 12
Answer:
the answer should be d
Step-by-step explanation:
1 x 4 =4
2 x 4 =8
3 x 4 =12
HELPP PLEASE
Choose A
( A is the answer <3)
Find domain Range Y-intercept X- intercept Vertical asymptote Horizontal asymptote Pic attached below note write domain and range in interval notation
Find domain
Range
Y-intercept
Xi intercept
Vertical asymptote
Horizontal asymptote
Pic attached below
The domain and range of the function f(x) = 3/x + 2 are (-∞, 0) ∪ (0, ∞) and (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively
What is the domain and range of a functionIn mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.
To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.
The function f(x) = 3/x + 2
The domain of the function is (-∞, 0) ∪ (0, ∞)
The range of the function is (-∞, 2) ∪ (2, ∞)
The x - intercept is (-3/2, 0)
The y - intercept does not exist
The vertical asymptotes is x = 0
The horizontal asymptotes is y = 2
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A pet store has 11 puppies, including 4 poodles, 5 terriers, and 2 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random with replacement (they may both select the same one), find the probability that Rebecka selects a terrier and Aaron selects a retriever.
The probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121
How to determine the probability?The distribution of the puppies is given as:
4 poodles, 5 terriers, and 2 retrievers
The probability of selecting a terrier is;
P(terrier) = 5/11
The probability of selecting a retriever is;
P(retriever) = 2/11
The required probability is
P = 5/11 * 2/11
Evaluate
P = 10/121
Hence, the probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121
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Y
4
3+
2+
1+
30
-4
-3-2
-1
1
2
CO
3
4
-1+
-2+
-3
-4-
41
What is the slope of the line?
Answer:
1
Step-by-step explanation:
Using two points on the line, (0, -3) and (3, 0),
\( Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} \)
Let,
\( (0, -3) = (x_1, y_1) \)
\( (3, 0) = (x_2, y_2) \)
Plug in the values
\( Slope (m) = \frac{0 -(-3)}{3 - 0} = \frac{3}{3} = 1 \)
Slope = 1
I have no ideia about that answer pls someone help me
Answer:
x° = 33° + 80° (alt ∠s, l//m)
= 113°
A blueprint used a scale of 1.5 cm = 2 m to
represent a grain silo. If the height of the silo in
the drawing was 33 cm, how tall is the actual grain
silo?
Answer: The Silo is 44 meters tall
Step-by-step explanation:
To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)
The average rate of growth for human hair is about 0.3 millimeters per day. How many days will it take a hair that is 12 millimeters long to grow to be 16.5 millimeters?
It will take 15 days for the hair to grow from 12mm to 16.5mm
What do you mean by average rate?By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.
Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):
16.5mm - 12mm = 4.5mm
Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:
4.5mm ÷ 0.3mm/day = 15 days
Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.
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If the standard deviation of returns on the market is 20 percent, and the beta of a well-diversified portfolio is 1.5. Calculate the standard deviation of this portfolio.
a. 30 percent.
b. 20 percent.
c. 15 percent.
d. 10 percent.
Answer:
a. 30 percent.
Step-by-step explanation:
Given that:
The standard deviation of returns = 20 percent
Beta = 1.5
Beta=Standard deviation of portfolio × correlation/Standard deviation of market × Correlation
Since Correlation with the market will be +1;
Then;
The Standard deviation of portfolio = 1.5 × 20%
The Standard deviation of portfolio = 30.00%
Brett and Andy applied for the same credit card from the same bank. Brett was given a card with an APR of 12.6%. What was his monthly percentage rate? Andy was given a card with an APR of 16.2% what was his monthly percentage rate? if each of them had an average daily balance of $7,980, and had to pay a finance charge, how much more would. Andy pay than Brett?
Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.
To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.
For Brett:
APR = 12.6%
MPR = 12.6% / 12 = 1.05%
For Andy:
APR = 16.2%
MPR = 16.2% / 12 = 1.35%
Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.
For Brett:
Finance charge = $7,980 * 1.05% = $83.79
For Andy:
Finance charge = $7,980 * 1.35% = $107.73
To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:
Difference = $107.73 - $83.79 = $23.94
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What is the value of 3 ^ -3
Answer:
\(\frac{1}{27}\)
Step-by-step explanation:
\(3^{-3}\\=\frac{1}{3}^{3}\\=\frac{1}{27}\)
Find the measure of c
9514 1404 393
Answer:
140°
Step-by-step explanation:
The long arc intercepted by angle c is 360° -80° = 280°. The measure of inscribed angle c is half the measure of the arc it intercepts.
c = 280°/2 = 140°
Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 000 seconds, even though the video had already played 190190190 frames. The video plays 252525 frames per second.
How many frames had the video already played when the time was equal to -3 2/5 seconds?
The video had played 104 frames when the time was equal to -3 2/5 seconds.
We can start by finding how many frames were played during the time that the timer did not start counting. Since the video plays 25 frames per second, the number of frames played during this time is 25 frames/second × several seconds = 190 frames.
Next, we need to convert the time of -3 2/5 seconds to frames. We can do this by multiplying the time by the frame rate of 25 frames/second:
-3 2/5 seconds × 25 frames/second = -86 frames
Note that the negative sign indicates that the timer is behind the actual playback time.
Finally, we add the number of frames played before the timer started counting to the number of frames that had played by the time the timer was at -3 2/5 seconds:
190 frames + (-86 frames) = 104 frames
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Select all of the shapes below which are rotations of shape X.
A,C,B,D,F,H are the rotations of the shape X given in the picture.
Rotations of shapes refer to the transformation of a shape around a fixed point called the center of rotation. This transformation involves rotating the shape by a certain angle while keeping the shape's size and shape consistent.
The angle of rotation determines how much the shape is rotated. It is measured in degrees or radians.
Properties of Rotations:
Rotations preserve the size and shape of the original shape.
Before and after the rotation, the distance between any two points on the shape and its centre of rotation remains constant.
The orientation of the shape may change, but its overall appearance remains unchanged.
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A classmate states that if s = {(3, 1), (2, 1), (4, 3), (5, 4)}, then the inverse of s = {(1, 3), (2, 1), (3, 4), (4, 5)} and is also a function. Which is the classmate's error? A. The classmate correctly identified the inverse of s but it is not a function. B. The classmate did not reverse the coordinates of (2, 1), so the inverse of s is wrong but it is still a function. C. The classmate did not reverse the coordinates of (2, 1), so the inverse of s is wrong and it is not a function. D. The classmate should not have reversed any of the coordinates, but the inverse of s is still a function.
Answer: C. The classmate did not reverse the coordinates of (2, 1), so the inverse of s is wrong and it is not a function
The first two points in relation s are (3,1) and (2,1). Their coordinates swap to get (1,3) and (1,2) respectively which helps form the inverse relation.
We don't have a function with { (1,3), (1,2) } because the x coordinate repeats itself. Functions are only possible if any input x leads to exactly one output y.
This equation has one solution.
5(x - 1) + 3x = 7(x + 1)
VA
What is the solution?
The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.
A. What is the interquartile range in a box-and-whisker plot?
B. What percent of the students got 80% or higher, which would be a B?
C. Write about Math: Using the interquartile range, explain how well the math class did on this test.
a. It represents the spread of the middle 50% of the data.
b. At least 50% of the students scored between 80 and 86.
c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
What is interquartile range?How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.
A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.
B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.
Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.
From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.
C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
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which of the following is not a true statement about porportional graphs
Answer:
c
Step-by-step explanation:
i took the flvs exam