I hope this helps.
Y - 4 = 4 ( X-0)
So the main equation is
Y - y1 = m ( X - x1 )
Y1 = 6
M (slope) = 4
X1 = 0
boxes of sticky finger popsicles are 4.50 . The supermarket is offering 30% coupon off coupon . what is the price with the coupon?
Answer:
$3.15
Step-by-step explanation:
We start by dividing 4.5 by 100,(.045) to find what 1 percent is, once we have that we multiply by 30 (1.35)and get that and subtract it from 4.5
Answer:
The price of the coupon is $3.15.
Step-by-step explanation:
Boxes of sticky finger popsicles are = $4.50
Supermarket is offering 30% coupon off.
We have to calculate the price with the coupon price of sticky finger popsicles will be given by
discounted price = original price - discount
= 4.50 - (30% of $4.50)
= 4.50 - (0.30 × 4.50)
= 4.50 - 1.35 = $3.15
The price of the coupon is $3.15.
What is the equation for the line
Answer:
y = - 2x - 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
To calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line
m = [tex]\frac{-8-4}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2
the line crosses the y-axis at (0, - 4) → c = - 4
y = - 2x - 4 ← equation of line
Answer:
y= -2x-4
Step-by-step explanation:
Since, from the graph,we can see it is a straight line, therefore we apply the equation of the straight line that is:
y= mx+c where m is the slope and c is the intercept.
Since the points are(-4,4) and (2,8),
m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
= [tex]\frac{-8-4}{2+4}[/tex]
=[tex]\frac{-12}{6}[/tex]
= -2
Therefore, m= -2
Now,since c is the intercept and the line cuts y- axis at (0,-4), therefore
c= -4
⇒y= mx +c
y= -2x+ (-4)
y= -2x_4
What is the equation of the line in standard form? A function graph of a line with two points (-3,1) and (3,2) with an x axis of negative five to five and a y axis of negative five to five x + 6y = 9 3x + y = 6 x−6y=−9 3x−y=−6
Answer:
x - 6y = -9
Step-by-step explanation:
We are given two points (-3,1) and (3,2) on a line so we will use them to find the slope.
Slope ([tex]m[/tex]) = [tex]\frac{2-1}{3+3} =\frac{1}{6}[/tex]
The standard form of the equation is [tex]y=mx+c[/tex] so we will substitute the values of the coordinates of a point and slope (m) to find the y-intercept (c).
[tex]2=\frac{1}{6} +c\\\\c=\frac{3}{2}[/tex]
So the equation of the line which passes through the given points will be [tex]y=\frac{1}{6} x+\frac{3}{2}[/tex] which can be rearranged to write it as:
x - 6y = -9
Answer:
Option C.
Step-by-step explanation:
The standard form of a line is
[tex]Ax+By=C[/tex]
It a line passes through two points then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
It is given that the line passes through the points (-3,1) and (3,2). So the equation of line is
[tex]y-(1)=\dfrac{2-1}{3-(-3)}(x-(-3))[/tex]
[tex]y-1=\dfrac{1}{6}(x+3)[/tex]
Multiply both sides by 6.
[tex]6(y-1)=x+3[/tex]
[tex]6y-6=x+3[/tex]
Subtract 6y and 3 from both sides.
[tex]6y-6-6y-3=x+3-6y-3[/tex]
[tex]-6-3=x-6y[/tex]
[tex]-9=x-6y[/tex]
Interchange both sides.
[tex]x-6y=-9[/tex]
Therefore, the correct option is C.
Given the equation of the line and point P not on the line, find the equation of a line parallel to the given line and a line perpendicular to the given line through the given point; y= -3x + 7; P(2,-4)
Answer:
y = -3x + 2; y = ⅓x -14/3
Step-by-step explanation:
Step 1. Find the equation of the parallel line
Original line: y = -3x+ 7
Parallel line: slope = m₁ = -3
The line passes through (2, -4).
y = m₁x + b Insert the values
-4 = (-3)×2 + b
-4 = -6 + b Add 6 to each side
b = 2
y = -3x + 2
===============
Step 2. Find the slope (m₂) of the perpendicular line
m₂ = -1/m₁ Substitute the value of m₁
m₂ = -1/(-3)
m₂ = ⅓
====================
Step 3. Find the equation for the perpendicular line
y = mx + b
y = ⅓x + b
The line passes through (2, -4).
-4 = ⅓(2) + b Substitute the values
-4 = ⅔ + b Subtract ⅔ from each side
-4 - ⅔ = b
b = -14/3
y = ⅓x - 14/3
In the image, below the graph of your original equation is the red line.
The green line passing through (2, -4) is the parallel line.
The purple line passing through (2, -4) is the perpendicular to both lines.
A town has a population of 5000 and grows at 4% every year. What will be the population after 7 years, to the nearest whole number?
Answer:
This is the actual steps and answer.
Step-by-step explanation:
\text{Exponential Functions:}
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }5000
a=starting value = 5000
r=\text{rate = }4\% = 0.04
r=rate = 4%=0.04
\text{Exponential Growth:}
Exponential Growth:
b=1+r=1+0.04=1.04
b=1+r=1+0.04=1.04
\text{Write Exponential Function:}
Write Exponential Function:
y=5000(1.04)^x
y=5000(1.04)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=5000(1.04)^{7}
y=5000(1.04)
7
y= 6579.6589
y=6579.6589
Evaluate
y\approx 6580
y≈6580
round
The population after 7 years at the rate of 4% growth every year would be 6580.
What is the formula for exponential growth?Exponential growth is a function that grows or decays at a constant percent rate.
The formula used is [tex]y = b(1 + r)^ t[/tex]. where, y is the exponential growth function, b is the initial amount, r rate, and t time interval.
From the information given,
b = 5000
r = 4% = 4/100
= 0.04
t = 7 years
Therefore
[tex]y = b(1 + r)^ t[/tex]
[tex]y = 5000(1 + 0.04)^7[/tex]
[tex]y = 5000(1.04)^7[/tex]
y = 6580
Thus, The population after 7 years at the rate of 4% growth every year would be 6580.
Learn more about exponential growth;
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The distance between the cities Chicago and Toronto is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 hours less to cover same distance than for the motorcycle. How long does it take them to meet, if they start moving towards each other simultaneously?
Answer:
A motorcycle will complete the 540 mile trip in [tex]\frac{540}{48} = 11.25 hr[/tex]
And the car will complete it 2.25 hours less, i.e 11.25 -2,25 = 9 hours.
then,
Speed of the car is [tex]\frac{540}{9} = 60 km/hr[/tex]
60t + 48t = 540
108t = 540
Divide both sides by 108 we get
t = 5
So, they will meet in 5 hours,
After 5 hours, the motorcycle will have traveled [tex]48 \times 5 = 240 miles[/tex]
and the car will have traveled = [tex]60 \times 5 = 300 miles[/tex]
Given is :
The distance between the cities Chicago and Toronto is = 540 miles
Speed of motorcycle = 48 mph
So, time taken by motorcycle to cover 540 miles = [tex]\frac{540}{48}=11.25[/tex] hours
Hence, the motorcycle will complete the 540 miles trip in 11.25 hours.
As given, the car takes 2.25 hours less to cover the same distance, so car takes [tex]11.25-2.25=9[/tex] hours
So,the speed of the car therefore is [tex]\frac{540}{9}=60[/tex] mph.
Let both the car and motorcycle meets is 't' time.
So, [tex]60t+48t=540[/tex]
[tex]108t=540[/tex]
t = 5
So, they will meet in 5 hours.
After 5 hours, the motorcycle will have traveled 48x5 = 240 miles
And the car will have traveled 60x5 = 300 miles.
Need help What’s the answers?
Answer: what’s the question
Step-by-step explanation:
What is the value of the expression 3 – a – b when a = 15 and b = –3?
–21
–15
–9
21
Answer:
the answer is -9
Step-by-step explanation:
3 - 15 = -12
-12 - (-3) = 9 adding two negatives gives you a positive so its really, -12 + 3
Just substitute then solve
3-15-(-3)
Answer:
-9
If it helps draw a number line
<--------------------------------------------------------------------->
-10 -5 0 5 10
start at 3, then left 15 spaces, then right 3 spaces
Which term describes lines that meet at right angles?
Answer:
B
Step-by-step explanation:
Answer:
The answer is B : Perpendicular
Step-by-step explanation:
Parallel lines are lines that never intersect as or do not meet so this is not the case. Skew lines are lines that neither intersect nor they are parallel. This are lines that are in separate planes in space so they never touch. Adjacent lines are lnes that meet at a specific point , but can form any type of angle. Perpendicular lines are lines that cross and form 4 right angleso rangles of 90 degrees so this is the answer,
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 5.5 gallons in the 14-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.70 per gallon. How much did Irene spend on gas?
Answer:
It will cost Irene $31.45 to fill the tank
Step-by-step explanation:
Irene's tank holds 14 gallons. It has 5.5 gallons in it.
14- 5.5 = 8.5
Irene can put in 8.5 gallons to fill it.
8.5 gallons and $3.70
8.5 * 3.7 = $31.45
It will cost Irene $31.45 to fill the tank
Mrs. Williams is deciding between two field trips for her class. The Science Center charges $120 plus $5 per student. The Dino Discovery Museum simply charges $7 per student. For how many students will the Science Center charge less than the Dino Discovery Museum charges?
Answer:
The Science Center charge less than the Dino Discovery museum for more then 10 students
Step-by-step explanation:
Let us assume that the number of students are x .
Let us assume that the total charge for x students be y.
As given
Mrs. Williams is deciding between two field trips for her class.
The Science Center charges $120 plus $5 per student.
Than the equations becomes
y = 120 + 5x
The Dino Discovery Museum simply charges $7 per student.
y = 7x
Than
[tex]120 + 5x < 7x[/tex]
[tex]120 < 7x - 5x[/tex]
[tex]120 < 2x[/tex]
[tex]\frac{120}{12} < x[/tex]
[tex]10 < x[/tex]
Therefore the Science Center charge less than the Dino Discovery museum for more then 10 students.
If a new data point at 12 is added to the graph , which will be true ?
Answer:
3. The mean will increase more than median, but both will increase.
Step-by-step explanation:
We have been given a dot plot. We are asked to find the true statement, if a new data point at 12 is added to our given dot plot.
Since we know that an large valued outlier affects mean more than median, so mean will increase more than median.
Let us check this using our given information. Our data set before adding 12 is:
1, 2, 2, 2, 3, 4, 4, 4, 5.
We can see that our data set has odd number (9) of data points, so median will be the value of 5th term, that is 3.
[tex]\text{Mean}=\frac{1+2+2+2+3+4+4+4+5}{9}[/tex]
[tex]\text{Mean}=\frac{27}{9}=3[/tex]
Therefore, mean of our data set is 3.
Upon adding a data point at 12, our new data set will be:
1, 2, 2, 2, 3, 4, 4, 4, 5, 12.
Now our data set has 10 terms, so median will be the average of 5th and 6th term.
[tex]\text{Median}=\frac{3+4}{2}[/tex]
[tex]\text{Median}=\frac{7}{2}=3.5[/tex]
Therefore, the median of new data set will be 3.5.
[tex]\text{Mean}=\frac{1+2+2+2+3+4+4+4+5+12}{10}[/tex]
[tex]\text{Mean}=\frac{39}{10}[/tex]
[tex]\text{Mean}=3.9[/tex]
Therefore, mean of new data set will be 3.9.
Upon looking at our given statements we can see that 3rd statement is true as mean and median both increased after adding 12 to our data set, but mean increased more that median. Mean and median before adding 12 was 3; but after adding 12 median became 3.5, while mean became 3.9 (which is greater than mean).
Answer:
The mean will increase more than the median, but both will increase.
Step-by-step explanation:
Calvin's plane is flying at a speed of 600 miles per hour. If y represents the distance the plane has traveled and z represents the time it has spent traveling, which of the following equations shows the relationship between y and z? PLEASE ANSWER ASAP!!!! I AM IN THE MIDDLE OF A TEST!!!
Answer:
D
Step-by-step explanation:
the answer is d because the amount of speed changes the total amount of distance that he travels in time
How many solutions does the following equation have?
|3x + 12| = 18 (5 points)
Answer: 2 solutions.
The given equation breaks down into these two equations
3x+12 = 18 and 3x+12 = -18
Basically 3x+12 equal to plus 18 and minus 18. This is due to the fact that something like |x| = 7 means x = 7 or x = -7, ie those x values are exactly seven units away from zero on the number line.
If you want to solve each equation, then
3x+12 = 18
3x = 18-12
3x = 6
x = 6/3
x = 2 is one solution
and
3x+12 = -18
3x = -18-12
3x = -30
x = -30/3
x = -10 is the other solution
Alex's batting average is 0.346 What is his batting average rounded to the nearest hundredth?
To round a number to the nearest hundredth, check the thousandth digit. If it's 4 or less, the hundredth digit doesn't change. If it's 5 or greater, round up the hundredth digit and increase it by 1.
Explanation:To round a number to the nearest hundredth, you need to look at the thousandth place. If this digit is 4 or less, the hundredth digit remains the same. If the thousandth digit is 5 or greater, then you round up the hundredth digit by increasing it by 1. In this case,
Alex's batting average is 0.346, and the thousandth digit is 6, which is greater than 4. So, when rounded to the nearest hundredth, his batting average would be 0.35.
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There are 16 peices of fruit in a bowl and 12 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
Answer: if you simplify 12/16 to 3/4 then you multiply that fraction by 25 you get 75/100 which translates to 75%.
What does the correlation show about the relationship between temperature and sales of ice cream
The graph is missing. So is the set of data point values. However, I can assume that as the temperature goes up, then so does the sale of ice cream. It's not a perfect relationship, but there is a strong positive correlation between the two variables.
A positive correlation means that as one variable increases, so does the other. Also, it means that if one variable decreases, then the other variable decreases as well. The two variables move in the same direction together.
I need help with 13 and 14
PLEASE HELP I SUCK AT THIS
Answer:
line 2
Step-by-step explanation:
#1 You got it right
When a you add a number you need to add to both sides
So line 2 was an error because it only added on the left side, not right side
This question was asked almost 3 years ago, there is a very good chance that they're not even in school anymore, it's crazy to think about. 3 years ago, I was living in Washington, and had joined online school for the first time, while this guy was here, begging people for answers to a question so he could pass highschool. Now, he's probably living his best life right now and doesn't even know what I'm typing right now, either that, or he's working at McDonald's. Honestly though, time flies by so fast though, it really is crazy.
What is the measure of the missing angle?
A. 25°
B. 90°
C. 80°
D. 50°
Answer:
80
Step-by-step explanation:
A triangle always measures to be 180 degrees. 50+50=100 so 80 degrees is left
How many ones are in 10 thousand
Answer:
There are 10,000 1s in Ten Thousand
Hope this helped:)
Step-by-step explanation:
Karif plans to use a 20% off coupon on a $27.60 purchase
Hello!! The answer is $22.08 Hope this helped!
$22.08 Would be the Answer for the price of a 20% off coupon on a $27.60 purchase.
these are my last questions plz help me :)
find the volume of the hemisphere with a radius of 7 inches. Round your answer to the nearest tenth.
Answer:
The formula for the volume of a sphere is:
Sphere Volume = 4/3 • π • r^3
Sphere Volume = 4/3 • π • 7^3
Sphere Volume = 4/3 • π • 343
Sphere Volume = 1,436.7550402417 cubic inches
Step-by-step explanation:
Final answer:
The volume of a hemisphere with a radius of 7 inches is calculated using the formula V = ½ (⅓πr³), resulting in a value of 571.1015 cubic inches, which rounds to 571.1 cubic inches.
Explanation:
To find the volume of a hemisphere with a radius of 7 inches, we use the formula for the volume of a sphere and then take half of that, since a hemisphere is just half of a sphere. The formula for the volume of a sphere is V = ⅓πr³. Since we need the volume of a hemisphere, our formula becomes V = ½ (⅓πr³). By substituting the given radius into the formula, we have:
V = ½ (⅓π(7 inches)³)
= ½ (⅓π(343 cubic inches))
= ½ (1142.203 cubic inches)
= 571.1015 cubic inches.
When we round this result to the nearest tenth, we get 571.1 cubic inches. Hence, the volume of the hemisphere is approximately 571.1 cubic inches.
Find the inverse of the function. f(x) = 3x - 2
Answer:
f^-1(x) = (x+2)/3
Step-by-step explanation:
To find the inverse of a function, exchange x and y and solve for y
y =3x-2
Exchange x and y
x =3y-2
Solve for y
Add 2 to each side
x+2=3y-2+2
x+2 = 3y
Divide each side by 3
(x+2)/3 =y
The inverse of the function is
f^-1(x) = (x+2)/3
Answer:
F-1(x)=(x+2)/3
graph the linear equation. Find three points that solve the equation, then plot on the graph -x -y =0
[tex]-x-y=0\qquad\text{add y to both sides}\\\\-x=y\to y=-x\\\\\text{Choice any three x values and calculate the y values.}\\\\for\ x=0\to y=-0=0\to(0,\ 0)\\\\for\ x=-2\to y=-(-2)=2\to(-2,\ 2)\\\\for\ x=2\to y=-2\to(2,\ -2)[/tex]
Pleeeeeease solve this problem
Answer:
Step-by-step explanation:
Simplify fourth root of 6 over fifth root of 6. 6 to the power of 1 over 5 6 to the power of 9 over 20 6 to the power of 1 over 20 6 to the power of 5 over 4
Answer:
6 1\20 is the answer
Step-by-step explanation:
Answer:
6 to the power of 1 over 20
Step-by-step explanation:
Find two irrational numbers between 0.3 and 0.7?
Answer:
two irrational numbers are [tex]\sqrt{0.3},\sqrt{0.4}[/tex]
Step-by-step explanation:
We are given to find irrational number
we know that
irrational numbers are numbers that can not be represented as simple fraction
For example:
[tex]\sqrt{2} ,e,\pi[/tex]
but those irrational numbers should be between 0.3 and 0.7
so, we can take sqrt numbers between 0.3 and 0.7
we know that
[tex]\sqrt{0.3}=0.5477[/tex]
[tex]\sqrt{0.4}=0.632455[/tex]
Both values lies between 0.3 and 0.7
so, two irrational numbers are [tex]\sqrt{0.3},\sqrt{0.4}[/tex]
A cube-shaped dog kennel is replaced by a larger kennel. The volume of the original kennel was 27 cubic feet. The volume of the new kennel is 64 cubic feet. How many feet were added to each edge length of the kennel?
Answer:
1 foot
Step-by-step explanation:
yuhh im doing the test so
The edge length of the original and new kennels were 3 and 4 feet respectively. Therefore, each edge length of the kennel increased by 1 foot.
Explanation:Your question involves understanding the relationship between a cube's size, or its edge length, and its volume. The volume of a cube is calculated by cubing the edge length (Volume = Edge Length³). Therefore, the edge length of the original kennel is the cube root of 27, which is 3 feet. The edge length of the new kennel is the cube root of 64, which is 4 feet. So, each edge length of the kennel was increased by 1 foot (4-3).
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