Answer:
y = 1/4x - 7/2
Step-by-step explanation:
To answer this question, we have to use point-slope form:
y - y1 = m(x - x1)
Substitute the numbers into the variables:
y - (-4) = 1/4(x - (-2))
y + 4 = 1/4(x + 2)
y + 4 = 1/4x + 1/2
y = 1/4x - 7/2
To verify your answer, simply substitute the values into your equation:
-4 = 1/4(-2) - 7/2
-4 = -1/2 - 7/2
-4 = -8/2
-4 = -4
Eric buys two plants. One plant is 4 inches tall and grows 2 of an inch per week. Another plant is 3 inches tall and grows
3
7 of an inch per week.
How many weeks will it take for the two plants to be the same height?
O A. 4
O B. 3
O C. 8
D 6
5⁶ • 5 how do i simplify
Let sin(2x) – sin(x) = 0, where 0 ≤ x < 2π. What are the possible solutions for x?
Answer:
{0,π/3,π,5π/3}
Answer:
D
Step-by-step explanation:
on edge
b. Sara correctly answered 84% of the questions
on her math test. If there were 25 questions on
the test, how many questions did she get
correct? Write a proportion to model the
problem and answer the question.
Answer:
21
Step-by-step explanation:
84% = 84/100
= 0.84
multiply 25 by 0.84 for result
0.84 x 25 = 21
One gallon of gas costs $3.02, but this cost is projected to increase by
120% in the next 2 years. What is the projected cost of a gallon of gas 2
years from now?
A. $0.60
B. $3.02
C. $3.62
D. $6.64
Refer to the Journal of Behavioral Decision Making (Jan. 2007) study of how guilty feelings impact decisions. Recall that 57 students were assigned to a guilty state through a reading/ writing task. Immediately after the task, the students were presented with a decision problem where the stated option has predominantly negative features (e.g., spending money on repairing a very old car). Of these 57 students, 45 chose the stated option. Suppose 10 of the 57 guilty-state students are selected at random. Define x as the number in the sample of 10 who chose the stated option.
A) Find p(x=5)B) Find p(x=8)C) What is the expected value (mean) of x?
Answer:
a) 0.5 is the probability of students who selected the stated option.
b) =0.8 is the probability of students who choose the stated option.
c) E(x) = P(x) x n
= [(5) + (8)]x 1/10
= 13/10
Step-by-step explanation:
Solution:
Number of students assigned to guilty state = 57
Number of students choose stated option = 45
Randomly Selected students =10
a) Find p(x=5)
x is the number in a sample of 10, who choose the stated option.
Sample number p(s) = 10
P(x) = 5
Probability = p(x) / p(s)
= 5/ 10
=0.5
0.5 is the probability of students who selected the stated option.
(b) Find p(x=8)?
Sample number p(s) = 10
P(x) = 8
Probability = p(x) / p(s)
= 8/ 10
=0.8 is the probability of students who choose the stated option.
(c) Expected (mean) value of x?
The expected value can be calculated by multiplying the probability of an event by the event's amount of times.
E(x) = P(x) x n
= [(5) + (8)]x 1/10
= 13/10
WILL GIVE BRAINLIEST Use the drawing tools to form the correct answer on the grid. Caroline is planting flowers in her garden. She plants her first 7 flowers in 4 minutes. After 12 minutes, she has planted 21 different flowers. Plot four data points and the line of best fit to model how long it takes Caroline to plant flowers.
I cannot use the drawing tools. But, i can explain it to you.
Make a point where it can be at 7 and 4.
Basically, put a point 4 or 5 blocks right of the 7.
Next, put a point where it can be at 21 and 12.
Basically, put a point 11 or 12 block right of the 21.
Answer: You will plot (0,0) which is the beginning, then plot (4,7), then if you multiply 7 times 2 you get 14 flowers. With those 14 flowers you will put them on (8,14) 8 minutes 14 flowers, lastly you will put 12 minutes and 21 flowers down which will be (12,21). since there are 21 flowers and 12 minutes.
Step-by-step explanation:
what is 7 1/8 • 5 2/3
Answer:
40.375
Step-by-step explanation:
I hope this helps
Which graph of a relation is also a function ?
Answer:
B
Step-by-step explanation:
A graph is only a function when there is only one y value for each x value.
A trick is to draw a line through some points on the x-axis, and if the line goes through more than one point. Then it is not a function. (See picture)
Sorry, not all the lines are straight, but you get the point. B is the only one that doesn't have more than one point on the lines I drew.
What is the equation of the line?
PLZ HELP I'LL AWARD BRAINLIEST !
Answer:
y=3-2x
Step-by-step explanation:
Can i get brainliest please?
Yo i just need an answer and explanation for one and i'll be good for the rest
Answer:
1/5
Step-by-step explanation:
4 red + 4 yellow + 2 blue = 10 in total
2 blue out of all the colors = 2/10
2/10 simplified = 1/5
Answer:
20% or 2/10
Step-by-step explanation:
Since there are 10 slots, and two of them are blue, for each spin there will be a 2/10 chance that the arrow will land on a blue slot.
A test has a mean of 80 and a standard deviation of 4. What score is within o e standard devaluation of the mean
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Mean score (m) = 80
Standard deviation = 4
Acore within one standard deviation of the mean:
Zscore = ± 1
Using the relation:
Zscore = (x - mean) / standard deviation
Where x = score
±1 = (x - 80) / 4
4 = x - 80
±4 + 80 = x
x = - 4 + 80 = 76
x = 4 + 80 = 84
Scire with 1 standard deviation of the mean :
76 = 1 standard deviation below
84 = 1 standard deviation above
The variables x and y have a quadratic relationship. Tripling the value of x causes the value of y to increase by a factor of nine. When x has a value of 3, y has a value of 2. What will be the value of y when x has a value of 9?
Answer:
The value of y when x has a value of 9 is 18
Step-by-step explanation:
Functions
The variables x and y are said to have a quadratic relationship. That information is not enough to set up a general equation for both variables.
Furthermore, we know that tripling the value of x causes the value of y to be multiplied by 9. That leads us to establish a proportional equation between them, as follows:
[tex]y=kx^2[/tex]
Where k is an unknown constant.
Let's use the given point (3,2) to find the value of k:
[tex]2=k(3)^2[/tex]
[tex]2=9k[/tex]
Solving for k:
[tex]\displaystyle k=\frac{2}{9}[/tex]
The equation is now:
[tex]\displaystyle y=\frac{2}{9}x^2[/tex]
Now find y when x=9:
[tex]\displaystyle y=\frac{2}{9}(9)^2[/tex]
[tex]\displaystyle y=\frac{2}{9}\cdot 81=18[/tex]
The value of y when x has a value of 9 is 18
PLEASE HELP WILL GIVE BRAINLIEST!!!
What is the slope of this line?
Enter your answer as a fraction in simplest term in the box.
You and a friend play a video game. You havr a final svore of 50 points, and your friend has a final score I -21 points. By how many points did you win?
Four more than five times a number is 59. What is the number ?
Answer:
(11 x 5) + 4 = 59
Step-by-step explanation:
You take whats in the parentheses, (11 x 5) and multiply.
You get a result of 55, then add your 4.
slope =−6/5 y-intercept =2 point slope form
Answer:
[tex]-\frac{6}{5}x +2[/tex]
Step-by-step explanation:
Point slope form is as so:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
Just plug in the information you have in their respective spots of the equation
What is the definition of mean
Answer:intend (something) to occur or be the case.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mean is an essential concept in mathematics and statistics. The mean is the average or the most common value in a collection of numbers.
How to calculate mean?
There are different ways of measuring the central tendency of a set of values. There are multiple ways to calculate the mean.
Arithmetic mean is the total of the sum of all values in a collection of numbers divided by the number of numbers in a collection. It is calculated in the following way:
How do you do these questions?
Step-by-step explanation:
x² + (y − 1)² = 9
This is a circle with center (0, 1) and radius 3. We can parameterize it using sine and cosine.
Use the starting point to determine which should be sine and which should be cosine.
Use the direction to determine the signs.
Use the number of revolutions and the interval to determine coefficient of t.
(A) Once around clockwise, starting at (3, 1). 0 ≤ t ≤ 2π.
The particle starts at (3, 1), which is 0 radians on a unit circle. It makes 1 revolution (2π radians). Therefore:
x = 3 cos t
y = 1 − 3 sin t
(B) Two times around counterclockwise, starting at (3, 1). 0 ≤ t ≤ 4π.
The particle starts at (3, 1), which is 0 radians on a unit circle. It makes 2 revolutions (4π radians). Therefore:
x = 3 cos t
y = 1 + 3 sin t
(C) Halfway around counterclockwise, starting at (0, 4). 0 ≤ t ≤ π.
The particle starts at (0, 4), which is π/2 radians on a unit circle. It makes 1/2 revolution (π radians). Therefore:
x = -3 sin t
y = 1 + 3 cos t
Mrs. Meece had 12 out of 20 students pass their math test. What percent of the students passed her test?
Answer:
60%
Step-by-step explanation:
12/20 or 6/10 or 3/5 simplified would be 60% of her students passed their test.
Answer:
The answer is 60%
Step-by-step explanation:
You have to convert the fraction 12/20. You divide this 12/20 which gives you 0.6. Then multiply 0.6 times 100.
A package of six pairs of socks costs $18.99. How much does each pair cost?
Answer: $3.17
Step-by-step explanation:
18.99/6=3.165
Answer:
3.165
Step-by-step explanation:
All you had to do was divide 18.99 and 6
Find the x-values at which f is not continuous.
f(x) = tan(πx/2)
Answer:
[tex]x\neq 1+2n,n\in\mathbb{Z}[/tex]
Step-by-step explanation:
Remember that for the tangent parent function, it has infinite discontinuities (vertical asymptotes) on:
[tex]f(x)=\tan(x), \\\text{Where }x\neq\frac{\pi}{2}+n\pi, n\in\mathbb{Z}[/tex]
Here, we have:
[tex]f(x)=\tan(\frac{\pi x}{2})[/tex]
So, we can set the expression inside the tangent to equal our parent domain restriction. This yields:
[tex]\frac{\pi x}{2}\neq\frac{\pi}{2}+n\pi[/tex]
Solve for x. Multiply both sides by 2:
[tex]\pi x\neq \pi+2n\pi[/tex]
Divide both sides by π:
[tex]x\neq 1+2n, n\in\mathbb{Z}[/tex]
Therefore, for the function [tex]f(x)=\tan(\frac{\pi x}{2})[/tex], it is not continuous for all Xs [tex]1+2n[/tex] where [tex]n\in\mathbb{Z}[/tex]
10. A person walks 12.0 m east, then turns and goes 5.00 m west, then turns and goes back 2.00 m east.
a) What is the person's distance?
b) What is the person's displacement?
Step-by-step explanation:
Given that,
A person walks 12.0 m east, then turns and goes 5.00 m west, then turns and goes back 2.00 m east.
(a) Distance is equal to total path covered during the entire journey.
Distance = 12 + 5 +2
Distance = 19 m
(b) The shortest path covered is equal to the shortest path traveled. Let east is positive and west is negative. So,
Displacement = 12 +(-5) +2
Displacement = 9 m
What is the domain of the function represented by the graph?
Answer: d
Step-by-step explanation:
The domain of the function that is represented by the graph is: D. x ≥ -7.
What is the Domain of a Function?The domain of a function are all the possible x-values in a function which are plotted against the y-values on the x-axis.
In the graph given, the x-axis where the line starts from is -7, and it extends to infinity to the right.
Therefore, the domain of the function is: D. x ≥ -7.
Learn more about the domain of a function on:
https://brainly.com/question/10891721
#SPJ5
find the mean median and mode for 3,5,2,4,3,4,3,5,16
Answer:
I think it will be 3....?
Answer:
mean 5
median 4
mode 3
Step-by-step explanation:
The mean is the average, or add up all the numbers and divide by the number of numbers
(3+5+2+4+3+4+3+5+16)/9
45/9 = 5
The median is the middle number when listed from smallest to largest
2,3,3,3,4,4,5,5,16
Since there are 9 numbers, the middle is the 5th number
2,3,3,3 ,4, 4,5,5,16
The median is 4
The mode is the number that appears most often which is 3 since it appears 3 times
im stuck on this question, plz help
Manuel runs a 100-meter race. 6 seconds after the race started Manuel is 40 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the race. Manuel notices that he is 75 meters from the starting line 11 seconds after the race started.
Suppose Manuel runs for an additional z seconds after reaching his max speed...
What is Manuel's distance from the starting line 6+z seconds after the race started?
What is Manuel's distance from the starting line x seconds after the race started (provided x≥6x)?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
40 metres covered in 6 seconds
Max speed attained after 6seconds
75 meters covered after 11 seconds
Average Speed for first 40 meters :
Speed = distance / time
Speed = 40m / 6s
Speed = 6.67m/s
To obtain the maximum speed :
Next (75 - 40) meters = 35 meters was covered in (11 - 6)seconds = 5 seconds
Speed at this point is maximum :
Hence, maximum speed = (35m / 5s) = 7m/s
Suppose, Manuel runs for an additional z seconds after reaching max speed :
Distance from starting line 6+z seconds after race started?
Distance after 6 seconds = 40 metres
Distance after z seconds = 7 * z
Total distance = (40 + 7z)
What is Manuel's distance from the starting line x seconds after the race started (provided x≥6x)?
Distance for first 6 seconds = 40 meters + distance covered after 6 seconds = (7 * (x-6))
40 + 7(x - 6)
Carol, Ann, and Liz each bought a toy fish carols fish is 11 inches longer than ann fish liz fish is 8 inches longer than twice the length of ann fish ann fish is 10 inches long
Answer:
2 inches
Step-by-step explanation:
liz's fish is 8 inches longer than ann's and her fish is 10 inches long 10-8=2
Solve for h. h(h − 2) = 0
Step-by-step explanation:
h=2
A rack has a volume of 10 cm3 and a mass of 25g. What is the density?
Answer:
Step-by-step explanation:
density is mass divided by volume, so 25g divided by 10 cm = 2.5 g
WILL GIVE BRAINLIEST Use the drawing tools to form the correct answer on the grid. Caroline is planting flowers in her garden. She plants her first 7 flowers in 4 minutes. After 12 minutes, she has planted 21 different flowers. Plot four data points and the line of best fit to model how long it takes Caroline to plant flowers.
I cannot use the drawing tools. But, i can explain it to you.
Make a point where it can be at 7 and 4.
Basically, put a point 4 or 5 blocks right of the 7.
Next, put a point where it can be at 21 and 12.
Basically, put a point 11 or 12 block right of the 21.
Answer:
You will plot (0,0) which is the beginning, then plot (4,7), then if you multiply 7 times 2 you get 14 flowers. With those 14 flowers you will put them on (8,14) 8 minutes 14 flowers, lastly you will put 12 minutes and 21 flowers down which will be (12,21). since there are 21 flowers and 12 minutes.
Step-by-step explanation: