What does the equal sign with an arrow mean?
Choose the equation below that represents the line that passes through the point (2, 4) and has a slope of 3.
Answer
y - 4 = 3(x - 2)
y + 2 = 3(x + 4)
y + 4 = 3(x + 2)
y - 2 = 3(x - 4)
...?
The correct equation for the line that passes through the point (2, 4) with a slope of 3 is 'y - 4 = 3(x - 2)' using the point-slope form of a linear equation.
The equation that represents the line passing through the point (2, 4) with a slope of 3 is y - 4 = 3(x - 2). To find the equation of a line given a point and a slope, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is the point the line passes through and m is the slope of the line.
Since the line must pass through (2, 4) and the slope (m) is 3, we plug these values into the point-slope form to get the correct equation.
solve: log 3=.5, then log 1/9=?
Joe paid $14.00 for a board game this is 70% of the original price what was the original price
start off by finding 10% of $14. in order to find 10%, divide it by 70 which gives 2. you now need to make the 30% to add to the 70%, by timesing the 2 by 3to give 6. now all you need to do it add the 6 to 14 to make 20!
so your answer is $20
Answer:
The original price was $20.00
Step-by-step explanation:
Joe paid $14.00 for a board game.
This is the 70% of the original price.
Let the original price of a board game be x
70% of x = $14.00
0.70x = 14.00
x = [tex]\frac{14}{0.7}[/tex] = $20.00
The original price was $20.00
Select all ratios equivalent to 5:15.
2:60, 20:9, 7:21, 1:3
John invested $400 in a savings account. How much interest will he earn in 5 years if the imterest rate is 7%?
How many points are shared by concentric circles?
a. 0
b. 1
c. 2
d. infinite points
Answer:
Option a. 0
Step-by-step explanation:
As we know if we draw two circles with same center but with the different radii, they neither touch each other nor intersect. This is true not only for two circles but for infinite number of the circles having the same center. They never have the common points to share. Set of points lying on each concentric circles are different.
Therefore Option a. 0 points is the correct answer.
Parallelogram ABCD is dilated to form parallelogram EFGH. Side BC is proportional to side CD.
What corresponding side is proportional to segment FG?
what is 475.53 minus 67.37
GRAPHING EXPONENTIAL FUNCTIONS
1. If (-1, y) lies on the graph of y = 3^x+1, then y =
a) 0
b) 1/3
c) 1
2. If (x, 1/100) lies on the graph of y = 10^x, then x =
a) 2
b) -1/2
c) -2
3. If (-1, y) lies on the graph of y = 2^2x, then y =
a) -4
b) 1/4
c) 1
4. What is the relationship between the graphs of y = 2^x and y = 2^-x?
a) reflections over the x-axis
b) reflections over the y-axis
c) reflections over y = x
5. If (3, y) lies on the graph of y = -(2x), then y =
a) 1/8
b) -6
c) -8
6. Which of the following equations is not exponential?
a) y = 1x
b) y = (1/2)x
c) y = -2x
7. If (-2, y) lies on the graph of y = 4^x, then y =
a) -16
b) 1/16
c) 16
8. If (-3, y) lies on the graph of y = 3^-x, then y =
a) -27
b) 1/27
c) 27
9. If (-3, y) lies on the graph of y = 3^x, then y =
a) 1/27
b) -1
c) -27
10. If (-3, y) lies on the graph of y = (1/2)^x, then y =
a) 8
b) 1/8
c) -8
The detailed answer provides the solutions to a series of questions involving finding specific values for y given x in various exponential equations, as well as recognizing the relationship between graphs of exponential functions and identifying which equations are not exponential.
1. If (-1, y) lies on the graph of y = 3ˣ+1, then y equals the value of the function when x is -1. Therefore, y = 3⁻¹ + 1 which simplifies to y = 1/3 + 1 = 4/3, which is not one of the provided options.
2. If (x, 1/100) lies on the graph of y = 10ˣ, then we need to find the value of x such that 10ˣ equals 1/100. 10ˣ = 1/100 is equivalent to 10ˣ = 10⁻², so x = -2.
3. If (-1, y) lies on the graph of y = 2²ˣ, we substitute x with -1. Then y = 2²*⁻¹ = 2⁻² = 1/4.
4. The relationship between the graphs of y = 2ˣ and y = 2⁻ˣ is that they are reflections over the y-axis. When x is replaced by -x in the function, the resulting graph is a reflection over the y-axis.
5. If (3, y) lies on the graph of y = -(2ˣ), then y is the negative value of 2 raised to the power of 3, which is -8. So, y = -8.
6. Among the given equations, y = -2ˣ is not exponential because it lacks the variable as an exponent. So, y = -2ˣ is not exponential.
7. If (-2, y) lies on the graph of y = 4ˣ, then y = 4⁻² = 1/16.
8. If (-3, y) lies on the graph of y = 3⁻ˣ, then y = 3⁻⁽⁻³⁾ = 3³ = 27.
9. If (-3, y) lies on the graph of y = 3ˣ, then y = 3⁻³ = 1/27.
10. If (-3, y) lies on the graph of y = (1/2)ˣ, then y = (1/2)⁻³ = 2³ = 8.
denise bought 5.2 pounds of rice for $5.29. using the unit rate, how much would 2 pounds of rice cost?
Simplify i³⁸. [i=√(-1)]
The 38th power, [tex]i^{38[/tex] simplifies to -1.
To simplify [tex]\( i^{38 \),[/tex] you can start by recognizing the pattern that powers of i repeat every four terms. This means that [tex]\( i^{4\),[/tex] equals 1, [tex]\( i^{8 \),[/tex] also equals 1, and so on. Therefore, [tex]\( i^{38 \),[/tex]can be simplified as follows:
[tex]\[ i^{38} = i^{4 \cdot 9 + 2} \][/tex]
Since [tex]\( i^4 \)[/tex] is equal to 1, we have:
[tex]\[ i^{38} = (i^4)^9 \cdot i^2 = 1^9 \cdot (-1) = -1 \][/tex]
So,[tex]\( i^{38} \)[/tex] simplifies to -1.
Complete question is:
Simplify i³⁸. [i=√(-1)]
mai is saving money to buy a game so far she has saved 20$ which is four fifths of the total cost of the game how much does the game cost
The recipe calls for 1 egg, which makes 8 slices of pumpkin pie. how many eggs would be needed to make 56 slices of pumpkin pie ?
To find the number of eggs needed for 56 slices of pumpkin pie when the recipe calls for 1 egg for 8 slices, simply set up a proportion and solve. In this case, you would need 7 eggs for 56 slices of pie.
To determine how many eggs are needed to make 56 slices of pumpkin pie, we use a proportion. Given that 1 egg makes 8 slices of pie, we set up the proportion as follows:
1 egg / 8 slices = x eggs / 56 slicesSolving for x, which represents the number of eggs needed for 56 slices, we get that x = 7 eggs.
A new game is being constructed where the game board is going to have 8 rows with 10 spaces in each row. What is the smallest game board that can be made?
Answer: There can be made 40 smallest game boards.
Step-by-step explanation:
Since we have given that
Number of rows = 8
Number of spaces in each row = 10
we need to find the smallest game board that can be made.
As we know that For Smallest we always find "L.C.M" because L.C.M. stands for least common multiple.
So, L.C.M. of 8 and 10 = 40
Hence, there can be made 40 smallest game boards.
At a local University 54.3% of incoming first-year students have computers. If 3 students are selected at random, find the following probability. A) At least one has a computer
B) None have computers
2/3 of a circle is what percent of a circle
Which relationship between x and y in the equation shows a proportional relationship?
y=3x
y=5(x+3)
y+5=x+3
y=5x+3
What is the range of the function on the graph
Answer:
all real numbers less than or equal to 3
Step-by-step explanation:
The range of the function is set of all y value for which the function is defined
To find out the range we look at the maximum or minimum point on the graph
Maximum point on the graph that is vertex is (-1,3)
x=-1 and y=3
The graph of y is below 3 (vertex)
So the range of the function is set of all real numbers less than or equal to 3
show that cos(3theta) = cos^3(theta)-3 cos(theta)sin^2(theta) ... use this to find an equation in rectangular coordinates for the curve r= 4 cos (3theta)......
ANY HELP ? ...?
18 is 240% of what? basic percent equation ...?
The price of a pair of shoes is $52. The price is 15% lower than last week. What was the price of the shoes last week? Round your answer to the nearest cent. Enter your answer in the box. $
The original price of the shoes can be found by dividing the current price, $52, by 0.85, which yields an original price of approximately $61.18.
The current price of a pair of shoes is $52, which is 15% lower than it was last week. To find the original price, you can set up an equation where the original price minus 15% of the original price equals the current price of $52.
Let x represent the original price. The equation is then x - 0.15x = $52. Simplify this to 0.85x = $52. Divide both sides by 0.85 to solve for x.
x = $52 / 0.85
x = $61.18
Therefore, the price of the shoes last week was approximately $61.18.
1. Solve for Y 1/2y+4x=z
Question 8
8 pts + 4 pts for the best answer Thanks!
Question is attached.
What is the end of the CD account time when the money can be withdrawn?
Maturity date
End date
Completion date
Withdrawal date
Correct Answer: maturity date
7 × 30 = 7 × ___ tens
7 × 30 = 7 × 3 tens.
To solve 7 × 30 in terms of tens, we first observe that 30 can be written as 3 tens since 30 equals 3 × 10.
Therefore:
7 × 30 can be rewritten as 7 × (3 × 10), which simplifies to 7 × 3 tens.
So, 7 × 30 = 7 × 3 tens.
If AB is parallel to CD and the slope of CD is -8, what is the slope of AB ?
Answer:
and only if they have the same slope. Any two vertical lines are parallel. Therefore, the slope of AB is -8 if AB is parallel to CD.
Step-by-step explanation:
The lines p and q intersect at point O. What is the value of x?
X =
Answer:
The value of x is 16 .
Step-by-step explanation:
Definition of vertically opposite angles
Two lines crosses angles opposite to each other are called vertically opposite angle .
Thus
(2x + 13)° = (3x-3)°
(Vertically opposite angles )
2x + 13 = 3x-3
2x - 3x = -3-13
-x = -16
x = 16
Therefore the value of x is 16 .
If there is a positive correlation between salary and education, then based on the table shown, which of the following careers requires the least education?
a. accountant
b. architect
c. pharmacist
d. surveyor
Answer:
D
Step-by-step explanation:
The horizontal axis of the graph is Salary.
Given there is a positive correlation between salary and education, means that as if education increase, salary increase OR if education decrease, salary decrease, and vice versa.
Out of the 4 choices, they wanted to know the one that requires LEAST education. So we will look at the bar that has LEAST salary.
Looking at the graph and bars, out of the 4 choices, Surveyor has the LEAST SALARY, so SURVEYOR would require LEAST EDUCATION. Answer choice D is right.
The career with the least education and having positive correlation between salary and education is [tex]\boxed{{\text{Surveyor}}}.[/tex] Option (d) is correct.
Further Explanation:
Given:
The options are as follows,
(a). Accountant
(b). Architect
(c). Pharmacist
(d). Surveyor
Explanation:
Correlation is a relationship between the two events. The change in one will affect the in change of another one.
There are two type correlations.
A positive correlation mean that if one increases the second event will also increase and if one decreases the second event will also decreases.
A negative correlation mean that if one increases the second event will also decrease and if one decreases the second event will also increase.
There is a positive correlation between salary and education.
The least salary in the given option is of surveyor and has least education.
The career with the least education and having positive correlation between salary and education is [tex]\boxed{{\text{Surveyor}}}[/tex]. Option (d) is correct.
Learn more:
Learn more about normal distribution https://brainly.com/question/12698949 Learn more about standard normal distribution https://brainly.com/question/13006989 Learn more about confidence interval of meanhttps://brainly.com/question/12986589
Answer details:
Grade: High School
Subject: Statistics
Chapter: Correlation
Keywords: correlation, salary, education, positive correlation, based, careers, least education, accountant, architect, pharmacist, surveyor, negative correlation, average salaries, personal trainer,
Solve the equation sin theta = 0.3 to the nearest tenth. Use the restrictions 90degrees < theta < 180degrees.
A)
θ=107.5
B)
θ=162.5
C)
θ=197.5
D)
θ=17.5