The equation of the line if the y-intercept i (0,6) and the lope i 15 is:
B. y = 15x 6
Linear Equation SolutionThe equation of the line is given in slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept. The y-intercept is the point where the line crosses the y-axis and is given as (0,6). Therefore, the value of b is 6. The slope is given as 15. Therefore, the equation of the line is y = 15x + 6. This equation means that for every unit increase in x, y increases by 15 units and the line passes through the point (0,6)
This method is applicable for other equations as well, as long as they are in slope-intercept form (y = mx + b). The slope-intercept form is a way to represent a linear equation where the slope and the y-intercept are known. If the equation is not in that form, it can be rearranged to make it so. Once the equation is in slope-intercept form, you can identify the slope and the y-intercept which can be useful in understanding the characteristics of the line such as its direction and position in the coordinate plane.
Learn more about Linear Equation Solution here:
https://brainly.com/question/16515610
#SPJ4
A plumber's old rate is $62 per hour. She
increases her fees by 12%.
What will her new hourly rate be?
Answer:
69.44
Step-by-step explanation:
now is 100%
100%=1
12%=0.12
1.12*62=69.44
What is the value of k for which the quadratic equation 3x2 KX 3 0 has equal roots?.
If a quadratic equation's discriminant is equal to zero, then its roots are all identical..The format for quadratic equations is as follows: axe? + bx + c=0, where a 0.
If a quadratic equation's discriminant is equal to zero, then its roots are all identical. The format for quadratic equations is as follows: axe? + bx + c=0, where a 0.The coefficients a, b, and c are used to calculate the discriminant of such equations.
D will act as the discriminator. D= b – 4ac first, let's figure out what our equation's coefficients a, b, and c are.When the discriminant (D) of the equation equals zero, the equation 3x2 + Kx-30 has equal roots. The quadratic equation discriminant is provided by the equation D = b2 - 4ac, where a = 3, b = K, and c = -30. We obtain the following formula by substituting these values: D= K2 - 4(3) (-30)
D=K2 + 360 K2 = -360, and K=V - 360) = 6V as a result (-5)
D =0
k- 128 = 0
→ k= 128
k=tv128
k=t V64 x 2
k=t8v2
|S-{-8V2, 8V2}
Complete question:
What is the value of k for which the quadratic equation 3x2 KX 3 0 has equal roots?. And also Find the value of k if the quadratic equation 4x2 - kx + 8 = 0 has equal roots
To know more about quadratic equations visit:
https://brainly.com/question/30102570
#SPJ4
The value of k for which the quadratic equation 3x² + kx + 3 = 0 has equal roots is -3.
The condition for a quadratic equation to have equal roots is that its discriminant, which is given by the expression b² - 4ac, must be equal to 0. In this case, a = 3, b = k, and c = 3. Substituting these values into the expression for the discriminant gives us:
k² - 4 * 3 * 3 = 0.
Solving for k gives us
k = ±√(4 * 3 * 3) = ±6.
Since the coefficient of x in the equation is positive, both roots are real and equal only if k = -6. Hence, the value of k for which the equation 3x² + kx + 3 = 0 has equal roots is -3.
Learn more about Quadratic Equations:
https://brainly.com/question/1214333
#SPJ4
Complete Question:
What is the value of k for which the quadratic equation 3x² + kx + 3 = 0 has equal roots?
Find the root of the equation D^2=36
Answer:
D = 6
Step-by-step explanation:
We can find D by:
[tex]D^{2*\frac{1}{2}} = 36^{\frac{1}{2}}[/tex]
We can multiply the square root of 1/2 to cancel out the 2 and put 36 into square root form, giving us:
D = [tex]\sqrt[2]{36}[/tex]
= 6
Prove that (1+cotA+tanA) (sinA-cosA) /sec³A-cosec³A = sin²Acos²A
Hope it helps.
If you have any query, feel free to ask.
What is the answer to this question? (4x) + (x-5)
The answer is to the problem is 5x-5
For every 7 push-ups Dulce can do, Sara can do 6. If Ducle did 28 push-ups during gym class, how many push-ups did sara do?
The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.
How to solve ratio?Number of push ups Dulce can do : number of push ups Sara can do
Let
number of push ups Sara does = x
7 : 6 = 28 : x
7/6 = 28/x
cross product
7 × x = 28 × 6
7x = 168
divide both sides by 7
x = 168/7
x = 24
Therefore, Sara does 24 push ups during the gym class.
Read more on ratio:
https://brainly.com/question/2328454
#SPJ1
Hunter recorded the mass of each rock in his collection. A dot plot has a horizontal axis labeled, Mass, in grams, marked from 35 to 45, in increments of 1. The number of dots above each value is as follows: 35, 2; 38, 2; 39, 2; 41, 1; 42, 1; 43, 2; 44, 1; 45, 1. Find the median mass. \text{ g} gstart text, space, g, end text
The median mass is given as follows:
40 g.
How to obtain the median of a data-set?The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than.
The dot plot shows the number of times that each measure appears in the data-set, hence the data-set is given as follows:
35, 35, 38, 38, 39, 39, 41, 42, 43, 43, 44, 45.
The data-set is composed by 12 elements, which is an even cardinality, hence the median is the mean of the two middle elements, the 6th and the 7th elements, thus:
Median = (39 + 41)/2 = 40.
More can be learned about the median of a data-set at https://brainly.com/question/3514929
#SPJ1
The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. What is the 99th percentile for the mean height of a random sample of 20 adult women?.
The 99th percentile for the mean height of a random sample of 20 adult women is approximately 68.7 inches, which is 3.7 inches above the mean of 65 inches.
The 99th percentile for the mean height of a random sample of 20 adult women can be calculated using the normal distribution. The normal distribution is a bell-shaped curve that describes the probability of a given event occurring. In this case, the mean and standard deviation of the height of adult women is used to calculate the probability of the mean height of a sample of 20 adult women being a certain value. For the 99th percentile, this means that the probability of the mean of the sample of 20 adult women being equal to or less than the value of 68.7 inches is 99%. This value is 3.7 inches above the mean of 65 inches, which is the expected mean height of adult women.
Learn more about height here
brainly.com/question/27996736
#SPJ4
How many solutions does the following equation have − 15y 7 17y 2y 70?.
There is no solution for the given equation "-15y + 7 + 17y = 2y + 70".
We are given an equation.
"-15y + 7 + 17y = 2y + 70"
We have to calculate the number of solutions to the given equation.
"-15y + 7 + 17y = 2y + 70"
Rearrange the terms
-15y + 17y + 7 = 2y + 70
Combine like terms
2y + 7 = 2y + 70
Subtraction property of equality
2y - 2y = 70 - 7
Combine like terms
0 = 61
But it is not possible.
Thus, there is no solution for the given equation -15y + 7 + 17y = 2y + 70.
To know more about Subtraction property of equality, here
https://brainly.com/question/9070018
#SPJ4
The monthly income of Ram i R. 40,000. If he pend 30% on food, 20% on education and
20% on clothing find:
i. Hi expenditure
ii. Hi monthly aving
iii. Hi yearly aving
All the parts of the given problem have been solved using the concepts of the percentage below.
It is given that the principal amount that Ram has, as his income is 40,000.
i) Ram spends 30% of his income on food
that will be,
40,000×30/100
=40,000×0.3
=12,000
ii) Ram spends 20% of his income on his education
that will be,
40,000×20/100
=40,000×0.2
=8,000
iii) Ram spends 20% of his income to buy his clothes
that will be,
40,000×20/100
=40,000×0.2
=8,000
Learn more about Percentage on
https://brainly.com/question/29306119?referrer=searchResults
#SPJ4
What type of angle turns through 1 360 of a circle?.
An angle that turns through 1/360 of a circle is called a “one-degree angle” and can be used to measure angles.
A degree, generally represented by the symbol ° (the degree), is a unit of measurement for a plane angle, where one full revolution equals 360 degrees.
A degree is the name given to the mathematical unit of measurement for an angle. A protractor is a device used to determine the degree of an angle. Angles can be measured at different angles with different degrees, such as 30°, 45°, 60°, and so on. A complete circle rotates at 360°.
One-degree angles are used to measure angles because they turn around 1/360 of a circle; an angle is said to have an angle measure of n degrees if it turns through n one-degree angles.
Learn more about Angle:
https://brainly.com/question/28049040
#SPJ4
Box A contain only green and purple counter. Box B contain only green, purple and orange counter. Juan pick one counter from box A and one counter from box B. How many poible way are there for Juan to pick exactly one purple counter
The number of possible ways in which Juan can pick exactly one purple counter from Box A and Box B is 3.
Given,
We know that, Box A contains only green and purple counters.
We also know that, Box B contains only green, purple, and orange counters.
According to question ,
Juan picked one counter from Box A and one counter from Box B
Possible ways to pick exactly one purple counter :
Box A Box B
one purple counter one orange counter
one purple counter one green counter
one green counter one purple counter
Hence, there are 3 ways in which Juan can pick exactly one purple counter.
Learn more about counters :
https://brainly.com/question/27892588
#SPJ4
Expert need please follow the directions below and answer accurately it will be greatly appreciated. Thank you
The average rate of change of an function g(x) = 4ˣ from x₁ = -1 to x₂ = 3 is 15.9375
How to determine average rate of change of a function?The average rate of change of an function can be determine by using the formula below:
average rate of change = (g(x₂)- g(x₁)) / [x₂- x₁]
From the given information, g(x) = 4ˣ and x₁ = -1, x₂ = 3
For g(x) = 4ˣ:
average rate of change = (4³ - 4⁻¹) / (3-(-1))
= (63.75)/4
= 15.9375
Learn more about average rate of change of function on:
brainly.com/question/12363445
#SPJ1
What is the Cartesian product of A =( 1 2 and b =( ab Mcq?.
The Cartesian product of A = {1, 2} and B = {a, b} is A × B = {(1, a), (1, b), (2, a), (2, b)}
We know that the Cartesian Product of sets M and N is defined as the set of all ordered pairs (x, y) such that x belongs to set M and y belongs to set N.
It is denoted as M × N = {(x,y) | x ∈ M and y ∈ N}
For example, consider a set P = {1, 2}
and set M = {3, 4, 5},
From the definition of the Cartesian Product of P and M,
P × M = {(1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5)}
In this question we have been given two sets A = {1, 2} and set B = {a, b}
Using the definition of Cartesian product,
A × B = {(1, a), (1, b), (2, a), (2, b)}
Learn more about the Cartesian product here:
https://brainly.com/question/29298525
#SPJ4
2(4+3(x-5))
Answer: 6x-22
-3(9-2(k+3)+5k)
Answer: -9k-9
Explain how you get the answer
Answer:
After that, the 3X + 1 problem has appeared in various forms. It is one of the most infamous unsolved puzzles in the word. Prizes have been offered for its solution for more than forty years, but no one has completely and successfully solved it [5].
Step-by-step explanation:
sketch the solution to each system of inequalities
The solution to the system of inequalities y ≤ 2x + 2 and y < -2x - 3 can be represented by a graph. The inequality y ≤ 2x + 2 represents a line with a slope of 2 and y-intercept of 2. The inequality y < -2x - 3 represents a line with a slope of -2 and y-intercept of -3. ( The graph attached)
SYSTEM OF INEQUALITIESThe inequality y ≤ 2x + 2 represents a line in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 2 and the y-intercept is 2. To graph this inequality, we can first plot the line by using the y-intercept, which is the point (0,2) on the graph. Then, we can use the slope to find additional points that fall on the line, such as (1,4) or (-1,0). Once we have plotted several points, we can connect them to form the line.
The inequality y < -2x - 3 represents a similar line, but with a different slope and y-intercept. In this case, the slope is -2 and the y-intercept is -3. To graph this inequality, we can use the same process as before by first plotting the y-intercept (0,-3), and then using the slope to find additional points that fall on the line.
The solution to the system of inequalities is the area that lies on one side of the first line and the opposite side of the second line, which is the area between the two lines. This area can be represented by shading the region below the first line and above the second line on the graph. It is important to note that the solution region is not including the lines themselves, because the inequalities are strict inequalities.
Learn more about system of inequalities here:
https://brainly.com/question/19526736
#SPJ4
A TV wa priced at 250 euro before VAT of 20% wa added on. What wa the elling price of the TV
The selling price of the TV is 300 euro (250 euro original price + 20% VAT).
What is VAT(Value Added Tax) ?
VAT stands for Value Added Tax, it is a consumption tax that is added to the price of goods and services. VAT is imposed on most goods and services in many countries around the world, and it is usually a percentage of the sale price. The percentage can vary depending on the country and the type of goods or services being sold.
To calculate the VAT, we can use the formula:
VAT = (original price x VAT percentage) / 100
So, in this case:
VAT = (250 x 20) / 100 = 50
Now we add the VAT to the original price to find the selling price:
selling price = original price + VAT
250 + 50 = 300 euro.
Therefore , The selling price of the TV is 300 euro (250 euro original price + 20% VAT).
To learn more about Value Added Tax visit : brainly.com/question/22241921
#SPJ4
VAT = (original price x VAT percentage) / 100
So, in this case:
VAT = (250 x 20) / 100 = 50
Now we add the VAT to the original price to find the selling price:
selling price = original price + VAT
250 + 50 = 300 euro.
Therefore , The selling price of the TV is 300 euro (250 euro original price + 20% VAT).
A warehouse uses large trucks to ship goods to stores. A fleet of 3 trucks can empty 2 storage sections in the warehouse. If 18 trucks are needed to completely empty the warehouse, how many storage sections are there in the warehouse?
Answer:12
Step-by-step explanation:
i need answer by today
The vertical portion of this plane's path is 81 degrees because it is travelling at a 90-degree angle of depression. She will have 393.3 yards remaining after multiplying 450 by 45 by 126.
What is the smallest angle of the plane ?The vertical component of this plane's angle of descent is 81 degrees, or 90 degrees. The landing field is no longer in this location. This is the landing area. I have 450 points and a 126-degree angle. Since this is not a right triangle, I will apply the law of sins.
I'm going to perform my x over my sin of 45, which is equivalent to my 450 yards over the 126 point. I'll multiply 126 times by 45 times to get 450 times. Divide both sides by 126 degrees; we'll do that. She will have 393.3 yards remaining after multiplying 450 by 45 by 126.
To learn more about plane refer to :
https://brainly.com/question/9999623
#SPJ1
Angela check out 12 library book and Inola check out 1/3v le than that. How many book doe Inola check out?
Angela check out 12 library book and Inola check out 1/3v then Inola checked out 12 - 3 = 9 books.
What is algebra ?
Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It is a way to represent mathematical relations and to reason about them. Algebraic concepts include using variables (such as x or y) to represent unknown values, using operations such as addition, subtraction, multiplication and division.
We know that ,
Angela = 12 books
Inola = 1/3v less than Angela
To find the value of v, we can set up the proportion ,
12 = v + 1/3v
We can then solve for v by multiplying both sides by 3 ,
12*3 = 3v + v
36 = 4v
So, v = 9
Inola checked out 1/3v less than Angela, which is ,
1/3 * 9 = 3
So, Angela check out 12 library book and Inola check out 1/3v then Inola checked out 12 - 3 = 9 books.
To learn more about algebra visit : brainly.com/question/24875240
#SPJ4
a new car is purchased for 13,000 and over time it's value depreciates
It would take approximately 12.6 years for the value of the car to be $700.
To find out how long it would take for the value of the car to be $700, we can use the formula for exponential decay. The value of the car after t years is:
[tex]V(t) = V_0 \times (1/2)^{(t/k)}[/tex]
Where V₀ is the initial value of the car, t is the time in years, k is the time constant in years, and (1/2) is the decay constant.
Given:
V₀ = $13,000
V(t) = $700
k = 3
Now you can solve for t:
[tex]700 = 13,000 \times (1/2)^{(t/3)}[/tex]
Take the natural logarithm of both sides:
[tex]ln(700) = ln(13,000 \times (1/2))^{(t/3))}[/tex]
[tex]ln(700) = ln(13,000) + ln((1/2)^{(t/3)})[/tex]
ln(700) = ln(13,000) + (t/3) × ln(1/2)
t = 3 × (ln(700) - ln(13,000))/ln(1/2)
t = 12.6 years (rounded to the nearest tenth of a year)
Thus, it would take approximately 12.6 years.
Learn more about exponential function here:
brainly.com/question/11487261
#SPJ1
The question seems to be incomplete the correct question would be:
A new car is purchased for $13,000 and over time its value depreciates by one-half every 3 years. How long, to the nearest tenth of a year, would it take for the value of the car to be $700?
A line goes through (2,4) and has a slope of 1/2. Find a second point on the line
Answer:
(0,3)
Step-by-step explanation:
y = mx + b
[tex]y=\frac{1}{2}x+b[/tex]
[tex]4=\frac{1}{2}(2)+b[/tex]
4 = 1 + b
b = 3
[tex]y=\frac{1}{2}x+3[/tex]
'b' represents the y-intercept in slope-intercept form. Another point is (0,3)
The tourit bureau of the Hawaiian Iland urveyed a ample of United State tourit a they left to return home. The tourit were aked how many day they pent on their viit. Their repone were a follow. 12,7,9,10,11,11
The mean of the sample is 10 and median is 10.5
The mean of the sample is given by: (∑ tour day)/ n
where n is number of visitors
∑ tour day =12 + 7 +9 + 10 + 11 +11
=> 60
so ∑ tour day = 60
n = 6
so mean = 60 /6
=> 10
so the mean of the sample is 10.
The median of the list is found by sorting the element in ascending order and then find the average of middle most value
so after sorting the list in ascending order we get:
7 , 9, 10 , 11 , 11 , 12
so the median = (10 +11 )/2
=> 10.5
so the median of the list is 10.5
To know more about median click on below link:
https://brainly.com/question/28060453#
#SPJ4
Complete question:
The tourit bureau of the Hawaiian Iland urveyed a ample of United State tourit a they left to return home. The tourit were aked how many day they pent on their viit. Their repone were a follow.
12,7,9,10,11,11
Find the mean and median of this sample of numbers. Round your answer to two decimal places.
Solve for g.
156 = 13g
Answer:
[tex] \sf \: g = 12[/tex]
Step-by-step explanation:
Given equation,
→ 156 = 13g
Now the value of g will be,
→ 156 = 13g
→ 13g = 156
→ g = 156 ÷ 13
→ [ g = 12 ]
Hence, the value of g is 12.
What is the scale used for measuring the intensity of the earthquake Mcq?.
The scale used for measuring the intensity of the earthquake is Richter Scale.
American seismologists Charles F. Richter and Beno Gutenberg developed the Richter scale (ML), a numerical indicator of an earthquake's size, in 1935. The height of the greatest seismic wave, as measured by the logarithm of its amplitude (height), is used to calculate the earthquake's magnitude.
Although the original Richter scale has been supplanted by other, more precise scales in modern science, the Richter scale is still frequently used incorrectly in news reporting of earthquake severity as a catch-all name for the logarithmic scale that earthquakes are measured on.
Learn more about Earthquakes here:
https://brainly.com/question/248561
#SPJ4
I need some help on this question
m<1=64
m<2=150
The equation is m+64=150
m= 86
Does the commutative property of subtraction apply to all real numbers why why not?.
The subtraction is not commutative because the order in which we subtract numbers affects the result.
Commutative property is applicable only for addition and multiplication processes. Thus, it means we can change the position or swap the numbers when adding or multiplying any two numbers.
The commutative property of subtraction does not apply to all real numbers. Subtraction is not commutative because the order in which we subtract numbers affects the result. For example, if we subtract 3 from 5, we get 2. But if we subtract 5 from 3, we get -2. The commutative property only applies to addition because a + b = b + a for all real numbers.
hence, the subtraction is not commutative because the order in which we subtract numbers affects the result.
To learn more about commutative property visit : brainly.com/question/778086
#SPJ4
What is the GCF of 20z and 30z?
Answer:
10z
Step-by-step explanation:
20z=2*2*5*z
30z=2*3*5*z
common ones are 2, 5, z
2*5*z=10z
Vince wrote the following equation, where C is the circumference in inches, to represent the value of π
for a circle that he drew.
π=C10
The length the diameter of the circle will be 10 units. And the graph of the circle is given below.
What is the circumference of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let d be the diameter of the circle. The circumference of the circle will be
C = πd units
Vince wrote the following equation, where C is the circumference in inches, to represent the value of π for a circle that he drew. Then the diameter of the circle is calculated as,
π = C / 10
C = π x 10
πd = 10π
d = 10
The length the diameter of the circle will be 10 units. And the graph of the circle is given below.
More about the circumference of a circle link is given below.
https://brainly.com/question/27177006
#SPJ1
a scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meeters. what number of actual meters are represented by 18 centimeters on the blueprint.
Answer:
Step-by-step explanation:
I think that the numbers 10-(2-3990
