Answer:
35 feet
Step-by-step explanation:
We'll begin by calculating the resultant for you and your friend.
For you:
R² = 12² + 9²
R² = 144 + 81
R² = 225
Take the square root of both side
R = √225
R = 15 feet
For your friend:
R² = 16² + 12²
R² = 256 + 144
R² = 400
Take the square root of both side
R = √400
R = 20 feet
Finally, we shall determine the distance between you and your friend.
The distance between you and your friend is obtained by adding your resultant and that of your friend together i.e
You resultant = 15 feet
Your friend's resultant = 20 feet
Distance between you and your friend = 15 + 20 = 35 feet.
Therefore, you threw the baseball 35 feet away from your friend.
What is the value of 3-(-2)?
Answer:
6
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
-(-2) is equal to +2, so the equation is 3+2 which is 5
At a nursery, you pay $6 for 2 plants. At this price, how much would you pay for 11 plants?
Answer:
You will need to pay 33 dollars for 11 plants.
Step-by-step explanation:
We can use ratios to solve this problem.
$6 x dollars
------------ = ------------
2 plants 11 plants
Using cross products:
6*11 = 2 *x
66 =2x
Divide each side by 2.
66/2 = 2x/2
33 = x
You will need to pay 33 dollars for 11 plants.
Answer:
$ 33
Step-by-step explanation:
2 plants ⇒ cost $6
Therefore, 1 plant would cost
$6/2 = $3.
To find the cost for 11 plants, we multiply the cost per plant by the number of plants:
Cost for 11 plants = $ 3 × 11 = $ 33.
So, you would pay $ 33 for 11 plants at the given price.
What is the measure of gef
equation of the line that has a slope of - 1/2and passes through the points (4,5)
Answer:
y=-1/2x+7
Step-by-step explanation:
I think its that
Answer:
y = (1/2) x + 3
Step-by-step explanation:
The equation of linear functions is y = m x + b
In this case, we know m = 1/2 , and have point (4,5). We only need to find our y-intercept or b value.
What we can do is substitute what we know into our formula which will give us variable b, or the y-intercept. That will look like:
5 = (1/2) * 4 + b
5 = 2 + b
3 = b
So, the equation is y = (1/2) x + 3 :)
CAN SOMEONE HELP WITH THE STEPS THXX
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
PLEASE HELP WITH FACTORING PROBLEM/SHOW WORK!
Answer:
(3x+2)(x-5)
Step-by-step explanation:
Factor by grouping
\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)
Find the Value of Y.
The value of y in the triangle is 2√10 units.
How to find the side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
The value of y can be found using the similar triangle ratios as follows:
Hence,
8 / y = y / 5
cross multiply
y² = 8 × 5
y²= 40
square root both sides of the equation
y = √40
Therefore,
y = 2√10 units
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Please please someone help me im begging
Answer:
P'(5, 3)K'(3, 1)Y'(1, 4)Step-by-step explanation:
You want the coordinates of the vertices of triangle PKY after it has been rotated 180° CW about the origin.
Rotation 180°Rotation about the origin by 180° is equivalent to reflection across the origin. Rotation clockwise or counterclockwise has the same result. The transformation of coordinates is ...
(x, y) ⇒ (-x, -y) . . . . . . only the sign changes
ApplicationApplying this transformation to the given points, you have ...
P(-5, -3) ⇒ P'(5, 3)
K(-3, -1) ⇒ K'(3, 1)
Y(-1, -4) ⇒ Y'(1, 4)
I am lost and have a hard time figuring out which slot goes into which column of y-symmetry, zeros, axis symmetry and maximum/minimum value. How do I go by answering the question to each card.? I want to make sure I am solving this correctly. please help. Thanks
Highest point reached by object is max = 2.5 ft
Highest point reached is, 100 ft
Time taken to reach highest point = 2.5 sec
The object hit ground after 5 seconds.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
f (x) = - 16x² + 80x
Where, x is time in seconds after it kicked.
Highest point reached by object is max as;
f (x) = - 16x² + 80x
f ' (x) = - 32x + 80 = 0
x = 80/32
x = 2.5 ft
Hence, Highest point reached is,
= - 16 × 2.5² + 80 × 2.5
= - 100 + 200
= 100 ft
Time taken to reach highest point = 2.5 sec
And, When object hit ground, height, f (x) = 0
f (x) = - 16x² + 80x = 0
- 16x² + 80x = 0
16x² = 80x
16x = 80
x = 5 seconds
Thus, Highest point reached by object is max = 2.5 ft
Highest point reached is, 100 ft
Time taken to reach highest point = 2.5 sec
The object hit ground after 5 seconds.
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how to plot 15/8 on a number line
Answer:
x : 15
y : 8
or
y : 15
x : 8
base of your graph
Kara’s car used 1/16 gallons of gas to drive 1/8 of a mile at this rate how many miles can Kara’s car drive using one gallon of gas
One interior angle of a triangle is 43°, and the other two angles are congruent. Choose the equation that could be used to determine the degree measure of one of the congruent angles. 2x + 43 = 180 2x − 43 = 90 x + 43 = 180 x − 43 = 90
Answer:
x − 43 = 90
Step-by-step explanation:
2x + 43 = 180
2x − 43 = 90
x + 43 = 180
x − 43 = 90
The following data includes the year, make, model, mileage (in thousands of miles) and asking price (in US dollars) for each of 13 used Honda Odyssey minivans. The data was collected from the Web site.
year make model mileage price
2004 Honda Odyssey EXL 20 26900
2004 Honda Odyssey EX 21 23000
2002 Honda Odyssey 33 17500
2002 Honda Odyssey 41 18999
2001 Honda Odyssey EX 43 17200
2001 Honda Odyssey EX 67 18995
2000 Honda Odyssey LX 46 13900
Required:
Compute the correlation between age (in years) and price for these minivans.
Find complete data below :
Answer:
R = - 0.94
Step-by-step explanation:
Since data was collected in 2005 ; we subtract the data collection year from the make year to obtain the age :
Age (x) :
1,1, 3,3,4,4,5,5,5,5,6,7,10
Price (y) :
26900,23000,17500,18999,17200,18995,13900,15250,13200,11000,13900,8350,5800
Using technology, the correlation Coefficient between age of car and price is : - 0.94
With a correlation Coefficient of - 0.94, we can conclude that there exists a strong negative correlation between age and price of the Odyssey mini vans. This could be interpreted to mean that ; As the age of cars in increases, the price decreases
Stephanie has a spinner with sections labelled 1, 2 and 3.
She spun it 100 times and recorded how many times it landed on each section in
the table below.
Work out the relative frequency of landing on an odd number, giving your answer
as
a) a fraction in its simplest form.
b) a decimal.
Section
1
Frequency 17
2
20
3
63
Answer:
\(\frac{4}{5}\)
0.8
Step-by-step explanation:
Happy to help:)
there are 11 members on a city council at a recent city council meeting, 4 of the council members voted in favor of a budget increase. how many possible groups of council members could have voted in favor
We have 11 members at the city council meeting, 4 voted in favour of a budget increase.
The possible groups of council members who could have voted in favour can be found using the combination formula which is used when we want to group items, in this case, we are grouping people.
Here is the formula;
Where n = Total members on the city council = 11
and r = members that voted in favour = 4
We will then solve this to be
\(\begin{gathered} \frac{11!}{(11-4)!4!} \\ =\frac{11\times10\times9\times8\times7!}{7!\times4\times3\times2\times1} \\ =11\times10\times3 \\ =330 \end{gathered}\)This implies that there are 330 possible groups of council members who could have voted in favour.
ANSWER: 330
Susie's School 5/8 of her students play sports of the students who plays Sports 2/5 play soccer what fraction of students and Susie School play soccer (with steps pls)NO LINKS
=================================================
Explanation:
Let's say this school has 1000 students.
5/8 of that amount is (5/8)*1000 = 625. There are 625 students who play sports.
Then we take 2/5 of this to get (2/5)*625 = 250 to represent the number of people who play soccer.
The last step is to divide that result over the original number of students. Reduce as much as possible.
250/1000 = 25/100 = 1/4
Therefore, 1/4 of all the students play soccer
(x+1)(x+2)=
X=4
What has greatest value?
The expressiοn (x+1)(x+2) has the greatest vaIue οf 30 when x=4.
What is an aIgebraic expressiοn?An aIgebraic expressiοn is a mathematicaI phrase that cοntains variabIes, cοnstants, and mathematicaI οperatiοns. It may aIsο incIude expοnents and/οr rοοts. AIgebraic expressiοns are used tο represent quantities and reIatiοnships between quantities in mathematicaI situatiοns, οften in the cοntext οf prοbIem-sοIving.
Tο evaIuate the expressiοn (x+1)(x+2) when x=4, we simpIy substitute 4 intο the expressiοn, which gives us (4+1)(4+2).
SοIving this expressiοn, we first perfοrm the additiοns inside the parentheses tο get (5)(6).
Then, we muItipIy the twο numbers tο get 30.
when x=4, the expressiοn (x+1)(x+2) evaIuates tο 30, which is its greatest vaIue. This is because the quadratic expressiοn x² + 3x + 2 increases as x increases, and it reaches its maximum vaIue when x=4.
Therefοre, the expressiοn (x+1)(x+2) has the greatest vaIue οf 30 when x=4.
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help!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due in 5 min will mark brainliest if corect
Find the mode (if any) of the list of data.
13, 13, 15, 15, 13, 14, 15, 13
Answer:
13
Step-by-step explanation:
There is the largest quantity of '13' in the list of data. Hence, 13 is the mode of the list of the data.
Write a function rule for
Answer:
x^2
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
Type the correct answer in each box.
Day Amount
1
$26
2
$23
3
$31
4
$26
5
534
The table shows the amount Bill spent on 5 days last week.
The mean of the amount he spent is $
The mean absolute deviation is $
Reset
Next
The mean absolute deviation is $106.6.
Given the table shows the amount Bill spent on 5 days last week.
DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.
Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,
the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:
Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406
The sum of all absolute deviations is:
10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.
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Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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If a total of 20 cups of onions and carrots were used, how many batches did the chef make? 4 batches 5 batches 8 batches 10 batches
Answer:
The answer is 4 batches I tried it and it was right
Step-by-step explanation:
Answer:
its A i got it right
Step-by-step explanation:
which of the following functions have a domain of (-♾️,♾️) and a range of (5,♾️)
Answer:
Step-by-step explanation:
A function with a domain of (-♾️,♾️) and a range of (5,♾️) means that the input values can be any real number, and the output values must be greater than or equal to 5, but can be any real number larger than 5.
The following functions have a domain of (-♾️,♾️) and a range of (5,♾️):
f(x) = 5 + x
f(x) = 5 + e^x (where e is the mathematical constant approximately equal to 2.71828)
f(x) = 5 + ln(x+1) (where ln denotes the natural logarithm, which is defined only for positive values of x+1)
Note that these are not the only functions that could have this domain and range, but they are some examples.
analyze the distribution of average account balance using histogram, and compute appropriate descriptive statistics. write a paragraph describing distribution of balance and use appropriate descriptive statistics to describe center and spread of the distribution (you can review basic statistics concepts at:
When making or analysing a histogram, you should keep in mind the following words and concepts.
Skewness of a normal distribution
kurtosis
Your histogram will be symmetrical if the data on which it is based are regularly distributed.
Your histogram will be positively biassed if it has more little than large numbers. Your histogram will be negatively skewed if there are more large than little numbers.
positive skew... mean... median... mode... mode Mean Median Mode = median = mean with a negative skew
A histogram's overall look is related to kurtosis in addition to skewness:
tall and lean... leptokurtic typical... mesokurtic broad and short platykurtic
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Find the area of triangle ABC to nearest tenth.
12. A = 20, c = 4 cm, b = 7 cm
13. C = 55, a = 10 m, b = 15 m
14. B = 42, a = 3 ft, c = 9 ft.
The areas of triangles ABC are
12. The area is 4.8 cm²
13. The area is 61.4 m²
14. The area is 9.0 ft²
What is the area of a triangle?The area of a triangle is the region occupied by the triangle.
12. Area of triangle ABC
Given that
A = 20, c = 4 cm, b = 7 cmArea of triangle ABC is A = 1/2bcsinA
= 1/2 × 7 cm × 4 cm × sin20°
= 7 cm × 2 cm × sin20°
= 14 cm² × sin20°
= 14 cm² × 0.3420
= 4.788 cm²
≅ 4.8 cm²
The area is 4.8 cm²
13. Area of triangle ABC
Given that
C = 55, a = 10 m, b = 15 mArea of triangle ABC is A = 1/2absinC
= 1/2 × 10 m × 15 m × sin55°
= 5 m × 15 m × sin55°
= 75 cm² × sin55°
= 75 cm² × 0.8192
= 61.436 cm²
≅ 61.4 cm²
The area is 61.4 cm²
14. Area of triangle ABC
Given that
B = 42, a = 3 ft, c = 9 ft mArea of triangle ABC is A = 1/2acsinB
= 1/2 × 3 ft × 9 ft × sin42°
= 1/2 × 27 ft² × sin42°
= 13.5 ft² × sin42°
= 13.5 ft² × 0.6691
= 9.033 ft²
≅ 9.0 ft²
The area is 9.0 ft²
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As a promotional feature, a store conducts a weekly raffle. During any week, 40% of the customers who turn in one or more tickets do not bother to turn in tickets the following week. On the other hand, 30% of the customers who do not turn in tickets will turn in one or more tickets the following week. Find and interpret the steady matrix for this situation.
Given statement solution is :- Interpreting the steady matrix:
The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.
The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.
The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.
To analyze the steady matrix for this situation, let's consider the two groups of customers: those who turn in tickets and those who do not turn in tickets.
Let's denote the proportion of customers who turn in tickets as X and the proportion of customers who do not turn in tickets as Y.
According to the given information:
40% of the customers who turn in tickets do not turn in tickets the following week. This means that 60% of the customers who turn in tickets will turn in tickets again the following week.
30% of the customers who do not turn in tickets will turn in tickets the following week. This means that 70% of the customers who do not turn in tickets will continue not turning in tickets the following week.
Based on these percentages, we can construct the steady matrix:
java
Copy code
| Customers turning in tickets (X) | Customers not turning in tickets (Y) |
----------|----------------------------------|--------------------------------------|
Next week 0.6 0.3
This week 0.4 0.7
Interpreting the steady matrix:
The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.
The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.
The value 0.4 in the bottom left cell represents the proportion of customers who do not turn in tickets this week but will turn in tickets next week.
The value 0.7 in the bottom right cell represents the proportion of customers who do not turn in tickets this week and will continue not turning in tickets next week.
These values describe the transition probabilities between the two customer groups. For example, if there are 100 customers in total, 60 of them will turn in tickets next week, and 40 of them will not. Similarly, 30 customers who turn in tickets this week will not do so next week, while 70 customers who do not turn in tickets this week will continue to not turn them in next week.
The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.
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what is the answer to 7=100z
Answer:
7=100z
We move all terms to the left:
7-(100z)=0
We move all terms containing z to the left, all other terms to the right
-100z=-7
z=-7/-100
z=7/100
Step-by-step explanation:
Are these Triangles Similar? How do you know?
Yes, because their ratios are the same
O Yes because their ratios are not the same
O No, because theur ratios are the same
No, Because their ratios are not the same
Answer:
O No, because their ratios are the same
Step-by-step explanation:
By ratio, it refers to side lengths.
If we write the side lengths as fractions:
\( \frac{10}{5} \)
and
\( \frac{4}{3} \)
if we cross multiply fractions it must be equal for the triangles to be similar but the result is
30 and 20 so the triangles are not similar because the ratios are not same or equal.