Answer:
(5,-1) and choice A
Step-by-step explanation:
The first step is to figure out where the two vectors are. Since one goes to (2,-3) and the other goes to (3,2), you already know that the only possible correct answer choices could be A and B, since C and D go to the wrong coordinates. Since the two vectors are originating from the same point and are not build on top of each other, you solve this by averaging them instead of adding head to tail. Using the pythagorean theorem, you know that the length of the new vector will be \(\sqrt{(3^2+2^2)+(3^2+2^2)}=\sqrt{26}\). The side lengths have length 5 and 1, since \(5^2+1^2=26\). Therefore, the coordinates of the new vector are (5,-1). Hope this helps!
\(\text{Solve for 'x'.}\\\\3x + 15 = 33\\\\\\text{Thank you.}\)
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(x=6\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(\boxed{\text{Solving for 'x'...}}\\\\3x + 15 = 33\\--------------\\\rightarrow 3x + 15 - 15 = 33 - 15\\\\\rightarrow 3x = 18\\\\\rightarrow \frac{3x=18}{3}\\\\\rightarrow \boxed{x = 6}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x=6
Step-by-step explanation:
3x+15=33
or as, 3x=33-15
or as, 3x=18
x=18/3=6
so we got 6 is the answer
5. Rewrite the following equation in standard form.
2y=-3/4x-2/3
Answer:
9x +24y = -8
Step-by-step explanation:
2y + 3/4 x = -2/3 ( multiple by 4)
24y + 9 x = -8 (move x to the front)
9x + 24y = -8
WHICH OF THE FOLLOWING REPRESENTS A NON LINEAR EQUATION
Answer:
y = 3/x
Step-by-step explanation:
Abigail tosses a coin of a bridge into the stream below. The distance in feet, the coin is above the water is modeled by the equation y=-16x^2+96 +112 , where x represents time in seconds.
answer choices -
7 feet
112 feet
120 feet
256 feet
Prepare a frequency table of the following scores obtained by 40 students in a
test:
24,16,17,30,28,20,15,24,16,18,18,15,16,20,25,24,25,20,16,15,18,25,20,18,28,27
,25,24,24,18,18,25,20,16,25,20,27,28,28,16.
This contains 20 points please help me quick
Answer:
Element Frequency Cumulative Frequency
15 3 3
16 6 9
17 1 10
18 6 16
20 6 22
24 5 27
25 6 33
27 2 35
28 4 39
30 1 40
Step-by-step explanation:
Find out how many times an element(data value) appears. That will be the frequency(column 2). The cumulative frequency is the total of all frequencies prior to that element plus the current element frequency
Cumulative frequency for first element is same as its frequency
Cumulative frequency for element 16 is 3 + 6 = 9
Cumulative frequency for element 17 = 3 + 6 + 1 = 9 + 1=10. Basically it is the sum of the previous element cumulative frequency + the current frequency
PLS HELP!! What is the value of x?
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Therefore, the value of x is -10.
Step-by-step explanation:
I hope you can please mark me as
The gas tank of Tyrell's truck holds 19.8. Gallons. When the tank is empty, Tyrell fills it with gas that costs $3.65 per gallon. About how much will it cost to fill the tank?
there are 25 Note books and 20 pens on a table. find the ratio of
i) Number of pens to number of note books
ii) number of Note books to the total number of objects on the table
by objects I mean Note books and pens
Answer:
i] 4:5
ii] 5:9
Step-by-step explanation:
i] no. of pens/ no. of notebooks
20/25
4/5
= 4:5
ii] no. of notebooks/ total no. of pens and notebooks
25/ 20+25
25/ 45
5/ 9
5:9
Why is mode not useful in a stem and leaf diagram?
Answer:
The mode is the number that occurs the most in a set of data. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data.
Mode is less useful in a stem and leaf diagram since it doesn't directly highlight the most frequent value, it's more suited for showing data distribution and patterns.
In a stem and leaf diagram, the mode is not as useful as in other types of data representations like histograms or bar charts.
The primary purpose of the mode is to identify the most frequently occurring value in a dataset,
which can be easily seen in histograms or bar charts.
In a stem and leaf diagram, the data is organized in a way that directly displays the individual data points while preserving the original data values.
The mode is not explicitly highlighted in this representation, making it less efficient to identify the most frequent value(s) compared to other methods.
The stem and leaf diagram is more useful for showing the distribution of data, identifying patterns,
and giving an overall sense of the spread of data, but it doesn't provide a clear visual representation of the mode.
For mode identification, other graphical representations or simply listing the data with frequencies would be more appropriate.
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If you are interested in purchasing 20 year term life insurance and every $10,000 of coverage costs $1.00 per month, how much would your monthly payment be for $250,000 of coverage?
Answer: 1,200
Step-by-step explanation:
How many times does 2/3 go into 7 1/3
Answer:
11
Step-by-step explanation:
7 1/3 ÷ 2/3 = 11
(please give brainliest)
Answer: 1/11
Explanation:
KCF
(keep, change, flip)
If a video game was 10% off and the amount of the discount was $6 what was the original price?
Answer: the original price was $60! <3
Step-by-step explanation:
is this table a function??
Answer:
Yes
Step-by-step explanation:
There are 1,275 people trying out for a show. The director needs to put people in 5 waiting rooms. If each room has the same number of people, how many will be in each room?
Answer:
255
Step-by-step explanation:
1275/ 5 = 255 people per room
Subtract. Your answer should be a polynomial in standard form. (u²+5u²v+4uv²)−(u²+5u²v²+4uv)=
Written in Standard Form: 5u^(2)v^(2)+5u^(2)u+4uv^(2)-4uv
Simplified: 5u^(2)v+4uv^(2)+5u^(2)v^(2)-4uv
Brainliest or a thank you please this took me a while to type :)) <3
Please give me example of population modeling that could be solved
by the First Order Equation.
A population modeling example that can be solved by a first-order equation is the spread of a contagious disease.
A population modeling problem that can be solved by a first-order equation is the spread of a contagious disease. The equation dP/dt = kP(1 - P/M) represents the rate of change of a population (P) with respect to time (t), where k is a constant, and M is the maximum population capacity.
This equation accounts for the fact that as the population grows closer to the carrying capacity, the growth rate slows down. By solving this first-order differential equation, we can determine the population size at any given time and analyze the dynamics of the disease's spread, including the initial growth rate and eventual stabilization as the population reaches its maximum capacity.
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PLEASE HELP what is x in : x + 11 = 18
The answer is 7
A tip you can do is get the sum subtract the number you do have so you would get your X value. So 18-11=7
Answer: x = 7
------------------------------
x + 11 = 18
x = 18 - 11
x = 7
\( \\ \)
I hope to help :p
Please Answer
NO LINKS
Part A: Which measurements do you need to know to find the volume of a cylinder?
Part B: Since the base of the refraction cup is a half circle, how can you find the radius? What is the radius?
Part C: If you put two refraction cups together, what three dimensional shape would you have?
Part D: The formula for the volume of a cylinder is V=pi r^2 h. What is the approximate volume of two refraction cups? Use 3.14 for pi.
Part E: Since one refraction cup is half of a cylinder, how could you change the formula for the volume of a cylinder to calculate the volume of a refraction cup?
Part F:Using the equation from Part E, what is the approximate volume of one refraction cup? What is the relationship between this value and the value from Part D? Use 3.14 for pi.
Answer:
Either circle will do since they are the same size. If you already know the radius, you can move on. If you don't know the radius, then you can use a ruler to measure the widest part of the circle and then divide it by 2. This will be more accurate than trying to measure half of the diameter. Let's say that the radius of this cylinder is 1 inch (2.5 cm). Write it down.
Step-by-step explanation:
The relationship would be the volume of a cylinder is 3 times the volume of a refraction cup.
What is the cylindrical shape?A cylindrical shape is a three-dimensional geometrical shape consisting of two parallel circular bases which are connected by some height h.
Part A: To find the volume of a cylinder, we need the dimensions of the cylinder such as the radius of the base of the cylinder and the height of the cylinder.
Part B: We have given the base of the refraction cup as a half-circle, we can calculate the radius of the base.
The diameter is given as 8 cm so, the radius would be half of the diameter.
r = 4cm
Part C: If you put two refraction cups together, we get the full three-dimensional shape that is a circle.
Part D: The formula for the volume of a cylinder is V=pi r^2 h.
\(V=\pi r^2 h\\V=3.14\times4^2\times 2\\V = 100.48\)
Part E: The volume of a refraction cup = \(4/3\pi r^{3}\)
= 4/3 (3.14)(8)
= 33.49
Part F: The relationship between the value D and the value from Part D is as follows
The volume of a cylinder = 3 times the volume of a refraction cup
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Find side x to one decimal place
Answer:
10.8 cm
Step-by-step explanation:
To solve this answer, we should use sine law.
\(\frac{SinA}{a}\)=\(\frac{SinB}{b}\)
\(\frac{Sin40}{7}\)=\(\frac{Sin81}{x}\) (cross multiply)
xSin40 = 7Sin81
xSin = \(\frac{7Sin81}{40}\)
x= \(\frac{7Sin81}{Sin40}\)
x= 10.8 cm
on Tuesday at lunchtime, it was 29 degrees Celsius, by sunset, the temperature had dropped by 16
The equation for temperature change is T = -1.5t + 29 and the number line is plotted.
What is a number line?
A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.
Let T represent the temperature in degrees Celsius, and let t represent the time in hours after lunchtime.
Then write an expression for the situation as follows:
T = -1.5t + 29
Here, -1.5t represents the decrease in temperature per hour, since the temperature is dropping at a rate of 1.5 degrees Celsius per hour.
Adding 29 to -1.5t gives the initial temperature of 29 degrees Celsius at lunchtime.
To illustrate this situation on a number line diagram, we can plot the temperature T as a function of time t.
The diagram would have time t on the horizontal axis and temperature T on the vertical axis.
Label the point (0, 29) on the diagram to represent the temperature at lunchtime, and the point (x, 16) to represent the temperature at sunset, where x is the number of hours after lunchtime.
Then draw a straight line connecting these two points to represent the linear relationship between temperature and time.
The line slopes downward from left to right, indicating that the temperature is decreasing over time.
Therefore, the number line diagram is plotted.
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On Tuesday at lunchtime, it was 29 degrees Celsius. By sunset, the temperature had dropped to 16 degrees Celsius. Please write an expression for the situation, and draw a number line diagram.
A wheelchair ramp is 10 feet long. The ramp sits up on a 2 foot platform.
How far is it from the end of the ramp to the bottom of the platform? (Round to the tenths place & include units!)
Answer: 9.8 feet!
Step-by-step explanation:
Find the difference ("subtract") between (x+7) & (3x+4)
After subtraction (3x+4) - (x+7), the resultant answer is 2x-3.
What is subtraction?One of the four operations used in mathematics, along with addition, multiplication, and division, is subtraction.
Removal of items from a collection is represented by the operation of subtraction.
For instance, in the following image, there are 5 2 peaches, which means that 5 peaches have had 2 removed, leaving a total of 3 peaches.
So, we have:
(x+7) and (3x+4)
We have to subtract as:
(3x+4) - (x+7)
Now, subtract as follows:
(3x+4) - (x+7)
3x+4 - x-7
2x-3
Therefore, after subtraction (3x+4) - (x+7), the resultant answer is 2x-3.
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how to show work for 4(x+5)=12
Answer:
x=-2
Step-by-step explanation:
Step 1:
Do distributive Property.
4(x+5)=12
4x+20=12
Step 2:
Combine like terms.
4x+20=12
(subtract 20 from both sides of the equation)
4x=12-20
Step 4:
Solve
4x=-8
Step 5:
Divide by coefficient which is 4.
x=-2
I hope this helps :)
Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim [In(x9 - 1) - In(x5- 1)]
The limit of the given expression as x approaches 1 from the right is 1.8.
To evaluate the limit of the given expression:
\(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)
We can start by directly substituting x = 1 into the expression:
[ln(1⁹ - 1) - ln(1⁵ - 1)]
= [ln(0) - ln(0)]
However, ln(0) is undefined, so this approach doesn't provide a meaningful answer.
To apply L'Hôpital's Rule, we need to rewrite the expression as a fraction and differentiate the numerator and denominator separately. Let's proceed with this approach:
\(lim_{x - > 1}\)+ [ln(x⁹ - 1) - ln(x⁵ - 1)]
= \(lim_{x - > 1}\)+ [ln((x⁹ - 1)/(x⁵ - 1))]
Now, we can differentiate the numerator and denominator with respect to x:
Numerator:
d/dx[(x⁹ - 1)] = 9x⁸
Denominator:
d/dx[(x⁵ - 1)] = 5x⁴
Taking the limit again:
\(lim_{x - > 1}\)+ [9x⁸ / 5x⁴]
= \(lim_{x - > 1}\)+ (9/5) * (x⁸ / x⁴)
= (9/5) * \(lim_{x - > 1}\)+ (x⁸ / x⁴)
Now, we can substitute x = 1 into the expression:
(9/5) * \(lim_{x - > 1}\)+ (1⁸ / 1⁴)
= (9/5) * \(lim_{x - > 1}\)+ 1
= (9/5) * 1
= 9/5
= 1.8
The complete question is:
Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. \(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)
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Serena's book collection contains 23 fiction books and 4 non-fiction books part to part or part to whole ratio
Step-by-step explanation:
that's a part to part ratio
Jill sold half her comics and then bought sixteen more. She now has 36. How many did she begin.
Answer: 10 I think
Step-by-step explanation: Jill sold half and you dont know how much it is you know that now she has 36, but before she bought 16 so 36 - 16 = 20 but she sold half
Answer:10 magazines
Step-by-step explanation:
36-16/2=m
20/2=m
10=m. m=magazine
Cassidy bought some shirts and pants for $214.She spent $60 on shirts. If Cassidy bought 7 pairs of pants for the same price each,how much was each pair?
Please help!
Algebra 3
Find the Domain and Range.
The domain and the range of the function are (-∝, ∝) and (-∝, 2), respectively
Calculating the domain and range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The above graph is an absolute function
The rule of this function is that
The domain is the set of all real values
In this case, the domain is (-∝, ∝)
For the range, we have
Range = (-∝, 2)
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Can you guys help me I need help
Answer:
182m^2
Step-by-step explanation:
Area of parallelogram. Base x Height = 13 x 14 = 182m^2
Hope this helps.
Which correctly represents the statement, “the product of 4 and a number, n, subtracted from 10”?
The expression that represents the statement is:
10 - 4n
How to write the expression?Here we have a mathematical statement which is:
"the product of 4 and a number, n, subtracted from 10"
We want to rewrite that mathematical statement as an expression, so let's do that.
The product refers to a multiplication, so we start with the multiplication between 4 and n.
4*n
And we want to subtract that from the number 10, then the expression is:
10 - 4n
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