Answer:
[tex]-46[/tex] meters per year.
Step-by-step explanation:
We have been given that a glacier advanced down a mountain from an elevation of 2010 m to 1780 m in 5 years.
[tex]\text{Rate of change}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\text{Rate of change}=\frac{1780-2010}{5-0}[/tex]
[tex]\text{Rate of change}=\frac{-230}{5}[/tex]
[tex]\text{Rate of change}=-46[/tex]
Since the glacier is melting down, therefore, the glacier's rate of change would be [tex]-46[/tex] meters per year.
3. Solve. 5 < x - 2 < 11
A. 5 < x < 11
B. 7 < x < 13
C. 7 < x < 11
D. 5 < x < 16
The baby weighed 7.25 pounds at birth.At the end of 8 months the baby weighed 2 1/2 times its birth weight .How much does the baby weigh at 8 months
A garage charged $248 in parts and $30 per hour in labor for work on a car. How many did the garage spend working on the car if the total bill was $572? Use a two step equation to model the scenario and then solve the question
If mRV = mVU, what is mVU?
Answer:
Answer: C
Step-by-step explanation:
Edge 2021
Find a formula for the number of patrons as a function of profit.
Point P (3, -4) and its image have symmetry with respect to the origin. Which of the following points represents the image of point P?
answer choices (-3, 4) (3, 4) (4, 3)
Answer: -3,4
Step-by-step explanation:
Because it wants you to rotate th epoint 180 degrees arond the orgin of the coordinate plane which then gives you the -3,4 option as your answer.
Based on this map, about how long is the niger river? 500 miles 1,500 miles 2,600 miles 3,900 miles
The Nile River is 2,600 miles long. If you are answering the FLVS question then it is also 2,600 miles.
Juan is saving money for a new car. He has already saved $200 and plans to save $25 per week. This situation can be represented by the function f(x) = 200 + 25x, where x is the number of weeks. How much money has Juan saved after 8 weeks?
$200
$400
$600
$800
400 is the correct answer. I am too lazy to put an explanation, but trust me it's not 800, I just got it wrong.
Why does a low range indicate precision in a measurement tool?
For what values of m does the graph of y=3x^2+7x+m have two x-intercepts
Answer:
For all [tex]\frac{49}{12}>m[/tex], the graph of given equation have two x-intercepts if the discriminant is positive.
Step-by-step explanation:
A quadratic equation [tex]y=ax^2+bx+c[/tex] has
1. No x-intercept if [tex](b^2-4ac)<0[/tex].
2.One x-intercept if [tex](b^2-4ac)=0[/tex].
3. Two x-intercept if [tex](b^2-4ac)>0[/tex].
The given equation is
[tex]y=3x^2+7x+m[/tex]
It is a quadratic equation. Here, a=3, b=7 and x=m. The graph of given equation have two x-intercepts if the discriminant is positive.
[tex](b^2-4ac)>0[/tex]
Put a=3, b=7 and x=m in the above inequality.
[tex]7^2-4(3)(m)>0[/tex]
[tex]49-12m>0[/tex]
Add 12m on both the sides.
[tex]49>12m[/tex]
Divide both sides by 12.
[tex]\frac{49}{12}>m[/tex]
For all [tex]\frac{49}{12}>m[/tex], the graph of given equation have two x-intercepts if the discriminant is positive.
What work do i need to show?
what is the least common denominator for the fractions 9/14and 2\21
Add 11.25 and 0.03.
3 is repeating.
A car decreases in value 10% a year . If it was brought for £5000 , how much will it be worth after 2 years ?
5000 x (1-0.10)^2
5000 x 0.90^2
5000 * 0.81
it is valued at 4,050 after 2 years
Final answer:
After applying a 10% yearly depreciation to the initial value of £5000, the car's value after 2 years will be £3150.
Explanation:
When a car decreases in value by 10% a year, its value after 2 years can be calculated using exponential decay. To compute the value of the car after two years, we start with the initial value of £5000 and apply a 10% decrease for each year. The formula for the value of the car after a certain number of years is given by:
Future Value = Present Value × (1 - rate of depreciation)^number of years
For the first year:
Future Value = £5000 × (1 - 0.10)¹
Future Value = £5000 × 0.90
Future Value = £4500
For the second year, we use the value at the end of the first year:
Future Value = £4500 × (1 - 0.10)¹
Future Value = £4500 × 0.90
Future Value = £3150
Therefore, after 2 years, the car will be worth £3150.
Using the fractions 2/3 and 3/4 describe how to give two fractions common denominators
Find the sample standard deviation. round to the nearest tenth. 15 42 53 7 9 12 14 28 47
What is the element a^23 in matrix A?
A=8 -4 -3
3 -9 -5
-8 8 8
Answer:
1. (5,0)
2. 20 of type A;20 of type B
3. no solution
4. -5
5.D
11 -12 7
5 12 -7
6. (-6,8)
100% right i gotchu bbs <3
The element [tex]a_{23[/tex] in matrix A is -5. Therefore, option A is the correct answer.
We need to find the element [tex]a_{23[/tex] in matrix A.
What is the matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
From the given matrix, the element in the second row and third column is -5.
The element [tex]a_{23[/tex] in matrix A is -5. Therefore, option A is the correct answer.
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i have zero idea.. help please.
Dominick’s unpaid credit card balance was $2103.24. His APR is 14.4%.
What is his new balance after he makes one new transaction for $280?
Based on the information given the new balance is $2,408.48.
New balanceFirst step is to calculate the finance charge
Finance charge=2,103.24×(0.144÷12 months)
Finance charge=2,103.24×0.012
Finance charge=25.24
Second step is to calculate the New balance
New balance=2,103.24+25.24+280
New balance=$2,408.48
Inconclusion the new balance is $2,408.48.
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What is the product of -9x(5-2x)
What is the smallest angle of rotational symmetry that maps a regular nonagon (9 sides) onto itself?
___°
The smallest angle of rotational symmetry that maps a regular nonagon onto itself is 40 degrees. This is calculated by dividing the total 360 degrees of the nonagon by its number of sides, which is 9.
Explanation:The smallest angle of rotational symmetry that maps a regular nonagon onto itself is obtained calculating the total 360 degrees of the nonagon divided by the total number of sides, which is 9.
Here is the step-by-step calculation: 360 degrees / 9 sides = 40 degrees
Therefore, the smallest angle of rotational symmetry for a regular nonagon is 40 degrees.
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Write the decimal 3.59 as a mixed number in simplest form.
A clothing store offers a shirt in 5 colors, in long or short sleeves, with a choice of three different collars. How many ways can the shirt be designed? a. 20 c. 30 b. 25 d. 50
Answer:
30
Step-by-step explanation:
A jar contains 21 pennies (worth $0.01 each), 15 nickels (worth $0.05 each), 18 dimes (worth $0.10 each), and 32 quarters (worth $0.25). if a coin is drawn at random, what is the expected value of the draw?
The length of a rectangle is 3 meters less than 3 times the width. the perimeter is 42 meters. find the width.
The width of the rectangle will be 6 meters.
What is mean by Perimeter ?
The perimeter of any quadrilateral is the sum of all sides of a
quadrilateral .
Given that;
The length of a rectangle is 3 meters less than 3 times the width.
The perimeter of a rectangle = 42 meters.
Now,
Let the width of a rectangle = x meter
Then, By condition The length of a rectangle is 3 meters less than 3 times the width.
We get;
The length of the rectangle = ( 3x - 3 ) meters
Since,
The perimeter of a rectangle = 2 ( Length + Width )
Here, The perimeter of a rectangle = 42 meters.
Now, After substitute all the values we get;
The perimeter of a rectangle = 2 ( Length + Width )
The perimeter of a rectangle = 2 ( 3x - 3 + x)
42 = 2 ( 4x - 3)
42 = 2 (4x - 3)
Solve for x as,
Divide by 2;
21 = 4x - 3
Add 3 both side;
21 + 3 = 4x - 3 + 3
24 = 4x
Divide by 4, we get;
x = 24/4
x = 6
Thus, The width of a rectangle = 6 meters.
Therefore, The width of the rectangle will be 6 meters.
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Sam made $198 last week cutting grass. He worked for 18 hours. How much did he make per hour? He thinks he made $12 per hour. True False
divide:
198/18 = 11
he made $11 per hour
so it's False, he did not make $12 per hour
Dewayne is comparing two checking accounts. One has a monthly fee of $7 and a per-check fee of $0.30, and the other has a monthly fee of $4 and a per-check fee of $0.40. What is the minimum number of checks Dewayne needs to write for the first bank to be a better option?
7 +0.30x = 4 +0.40x
subtract 4 from each side
3+0.30x = 0.40x
subtract 0.3x from each side
3 = 0.10x
divide both sides by 0.10
3 /0.10 = 30
30 checks would make both accounts equal
so he would need to write 31 checks for the first one to be better.
Answer:30
Step-by-step explanation:
it’s right
Which of the following will result in a rational answer?
A. multiplying pie by a fraction
B. adding the square root of a non perfect square to a whole number
C. adding the square root of a perfect square to pie
D. multiplying a fraction by a repeating decimal.
P.S. I asked a question 2 before this one, no one has answered it can someone do that?
SOMEONE PLEASE HELP ME ASAP!!!!!!!
Below is a data set consisting of 33 whole-number observations. Its five-number summary is:
(16,20,22,30,46).
What is the range of the data?
A. 6
B. 16
C. 24
D. 30
Below is a data set consisting of 33 whole-number observations. Its five-number summary is:
(16,20,22,30,46).
How many observations are strictly less than 20?
A wide variety of oak trees grow in the United States, In one study, a sample, of acorns was collected from different locations, and their volumes, in cm^3, were recorded. In the table are the summary statistics for these data:
Statistic | Value
N | 38
Mean | 3.0
Median | 1.8
St.Dev. | 2.6
Minimum | 0.3
Maximum | 10.5
1st Quartile | 1.1
3rd Quartile | 4.3
Describe a procedure that uses some or all of these summary statistics to determine whether outliers are present in the data.
Show the work using the procedure from the previous question to determine if there are outliers in these data.
To determine the number of observations below 24 in the given data set with a five-number summary, we find 25% of 33, yielding 8 observations.
To find the number of observations strictly less than 24, we need to understand the structure of the five-number summary: minimum (12), Q1 (24), median (38), Q3 (51), and maximum (69).
Since Q1 (24) represents the 25th percentile, it indicates that 25% of the observations lie below 24. Therefore, the number of observations strictly less than 24 is 25% of the total number of observations.
Given that there are 33 unique observations, we calculate 25% of 33 as:
[tex]\[ \text{Number of observations} = \frac{25}{100} \times 33 = 8.25 \][/tex]
As we can't have a fraction of an observation, we round down to the nearest whole number. Therefore, there are 8 observations strictly less than 24.
Hence, 8 observations are strictly less than 24 in the given data set.
This calculation involves understanding the position of Q1 in the data set and applying the concept of percentiles to determine the number of observations below a certain value.
The question probable maybe:
Given a data set consisting of 33 unique whole number observations, its five-number summary is: 12, 24, 38, 51, 69
How many observations are strictly less than 24 ?
1. The range of the data is 30.
2. The number of observations strictly less than 20 is the count of observations is 16.
3. Based on the IQR method, there are no outliers in the data.
Let's address each question one by one:
1. Range of the data:
The range of the data is the difference between the maximum and minimum values in the dataset. From the five-number summary given, we have:
Maximum = 46
Minimum = 16
So, the range is:
[tex]\[ \text{Range} = \text{Maximum} - \text{Minimum} = 46 - 16 = 30 \][/tex]
Therefore, the range of the data is 30. Hence, the correct answer is D. 30.
2. Observations strictly less than 20:
From the five-number summary, we know that 20 is the second quartile (median) of the dataset. Observations strictly less than 20 would fall in the first quartile. Therefore, we need to find the number of observations below the first quartile.
Given:
First Quartile = 16
Observations strictly less than 20 = Number of observations below the first quartile.
So, the number of observations strictly less than 20 is the count of observations below the first quartile, which is 16.
Now, for the third question:
To determine if outliers are present in the data, we can use the Interquartile Range (IQR) method.
The Interquartile Range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1).
[tex]\[ \text{IQR} = Q3 - Q1 \][/tex]
Any data point that falls below [tex]\( Q1 - 1.5 \times \text{IQR} \) or above \( Q3 + 1.5 \times \text{IQR} \)[/tex] is considered an outlier.
Given:
Q1 = 1.1
Q3 = 4.3
[tex]\[ \text{IQR} = Q3 - Q1 = 4.3 - 1.1 = 3.2 \][/tex]
Therefore, the lower bound for outliers is [tex]\( 1.1 - 1.5 \times 3.2 = -3.7 \)[/tex] (which is not relevant in this context), and the upper bound for outliers is [tex]\( 4.3 + 1.5 \times 3.2 = 9.9 \).[/tex]
Looking at the summary statistics:
- The minimum value is 0.3, which is within the range.
- The maximum value is 10.5, which is also within the range.
Hence, based on the IQR method, there are no outliers in the data.
Information for the park trails is displayed at the entrance to the park office.
How long is Trail B?
Show your work and round your answer to the nearest foot.