Graph 3 points in the equation y=2x
Explanation:
To graph the points in the equation, we need to replace x by 0, 1, and 2 and then calculate the value of y, so:
If x = 0, then:
y = 2x
y = 2(0) = 0
If x = 1, then:
y = 2x
y = 2(1) = 2
If x = 2, then:
y = 2x
y = 2(2) = 4
Answer:
So, we will graph the points (0, 0), (1, 2), and (2, 4). Therefore, the graph is:
Black Diamond Ski Resort charges $25 for ski rental and $10 an hour to ski. Bunny Hill Ski Resort charges $50 for ski rental and $5 an hour to ski. Create an equation to determine at what point the cost of both ski slopes is the same.
Answer:
25 + 10h = 50+5h
Step-by-step explanation:
Black Diamond Ski Resort
25 + 10h
Bunny Hill Ski Resort
50+5h
Set them equal to each other to find when the cost is the same
25 + 10h = 50+5h
When a baby Giraffe was born it weight 150 Pounds over the next 5 years it gained Equal amounts of weight each year. The Giraffe now weight 675 pounds. How much was the weight gain per year?
Answer:
135 per year because 675 ➗ 5 = 135
a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
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need help asap pic 48 POINTS
Answer:
p = -9 ; open circle pointing left
Step-by-step explanation:
-7p + 3 < - 60
*subtract 3 from both sides*
-7p < -63
*divide both sides by -7*
p < -9
i need help what is -2 + y = 8 graphed
What is the value of 6/x+2x,when x=3
Answer:
8
Step-by-step explanation:
6/3 + 2 x 3
6/3 + 6
2 + 6=8
Answer:
\(2/3\)
Step-by-step explanation:
\(\frac{6}{3x}\)
\(\frac{6}{3(3)}\)
\(\frac{6}{9} =\frac{2}{3}\)
Add. Write your answer as a fraction or as a whole or mixed number. 8 1/3 + 9 1/3 = ?
Answer:
17 2/3
Step-by-step explanation:
Rewriting our equation with parts separated
= 8 + 1/3 + 9 + 1/3
Solving the whole number parts
8+9=17
Solving the fraction parts
1/3 + 1/3 = 2/3
Combining the whole and fraction parts
17 + 2/3 = 17 2/3
Cone B is the image of cone A after dilation by a scale factor of 1/4.
If the volume of cone B is 1 m³, find the volume of cone A, the preimage.
The volume of the Cone A will be 4m³.
What is a cone?
A cone is a shape constructed by connecting a common point, known as the apex or vertex, to all the points of a circular base using a collection of line segments (which does not contain the apex). The height of the cone is the distance from the vertex to the base. The radius of the circular base has been measured. The slant height is the length of the cone from the apex to any point on the perimeter of the base. Based on these values, formulae for the cone's surface area and volume have been developed. The cone in the illustration is characterised by its height, radius of base, and slant height.
Volume of cone=πr²h where r=radius of base and h=height of cone
Curved surface area=πrL , where L=slant height
Now,
As given Cone B is the image of cone A after dilation by a scale factor of 1/4. If the volume of cone B is 1 m³
After dilation volume also decreases/increases with respect to scale factor of dilation. Here scale factor is 1/4
and Then volume of A=1*4
=4 m³
hence,
The volume of the Cone A will be 4m³.
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Answer: it is actually 64m^3
Step-by-step explanation:
i did it and this was the right answer
ASAP!!! NEED AN ANSWER
In this budget scenario, use 15 per hour as the current wage for 40 hour work weeks. Hint: There are 52 weeks in a year, and 12 months in a year.
1. What is the gross yearly income?
2. What is the gross monthly income using this pay rate?
1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year
Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year
Gross Yearly Income = $31,200
2)Gross Monthly Income = Gross Yearly Income / Months in a Year
Gross Monthly Income = $31,200 / 12 months
Gross Monthly Income ≈ $2,600
Laura is bowling 5 games. Her first 4 scores were 118, 82, 134, and 85.
To end up with an average score of at least 116, what is the lowest score Laura will need in the fifth game?
The regular polygons are simllar. Determine the scale factor. Then find the ratio (big to small) of their perimeters and their areas. Be sure to simplify fractions.
The scale factor used in the dilation of the polygons is 1.25
The perimeter ratio is 1.25
The area ratio is 1.5625
Determining the scale factor usedFrom the question, we have the following parameters that can be used in our computation:
Big polygon = 15Small polygon = 12The scale factor is calculated as
Scale factor = Big/Small
Substitute the known values in the above equation, so, we have the following representation
Scale factor = 15/12
Evaluate
Scale factor = 1.25
This is also the ratio of the perimeters
I.e.
Perimeter ratio = 1.25
For the area ratio, we have
Area ratio = 1.25 * 1.25
Evaluate
Area ratio = 1.5625
Hence, the scale factor is 1.25
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The scaling factor is 1.25.
The polygons were dilated using a scale factor of 1.25.
1.25 is the perimeter ratio.
The ratio of area is 1.5625.
Choosing the scale factor to be utilised
We may utilise the following parameters in our calculation based on the question:
Large polygon: 15
12 for a small polygon
The scale factor is determined as follows:
In the equation above, replace the unknown variables with the known values to get the following form.
Ratio of scalars = 15/12
Evaluate
Ratio of scale: 1.25
Ratio of perimeter : 1.25
Ratio of Area = \(1.25 \times1.25\)
Evaluate
1.5625 is the area ratio.
The scaling factor is 1.25.
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(1/6)30x+(1/6)24-(1/7)63-(1/7)7x
Answer: 15 IF X=5 // OR its 4x-5 IF youre looking for an equivalent answer
Lori read the total of 48 pages over 3 hours
Answer:
16 pages per hour
Step-by-step explanation:
48 ÷ 2 = 16 pages per hour
Question 2 (15 points )
Determine the scale factor from circle A to circle B.
O
Scale factor =
B
30
Thus, the scale factor from circle A to circle B is found to be 2.
Explain about the scale factor:The ratio between comparable measurements of just an element and a portrayal of that element is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.
You must first choose which direction we are scaling in order to determine the scale factor:
Scale Up = larger measurement / smaller measurement (smaller to larger).Smaller measurement equals greater measurement when scaling down.The radius of circle A = 2 units
The radius of circle B = 4 units.
So, there is a dilation with the scale factor of 2 units as 2*2 = 4 units.
Thus, the scale factor from circle A to circle B is found to be 2.
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Triangle PQR with vertices P(-2, 3), Q(2, 4),
and R(1, -1) in the line x = -3.
9514 1404 393
Answer:
P'(-4, 3)Q'(-8, 4)R'(-7, -1)Step-by-step explanation:
Reflection over the line x=a is accomplished by the transformation ...
(x, y) ⇒ (2a -x, y)
For 'a' = -3, this becomes ...
(x, y) ⇒ (-6 -x, y)
P(-2, 3) ⇒ P'(-6-(-2), 3) = P'(-4, 3)
Q(2, 4) ⇒ Q'(-6-2, 4) = Q'(-8, 4)
R(1, -1) ⇒ R'(-6-1, -1) = R'(-7, -1)
1.
(03.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 11(1.01)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)
Answer:
sept one
Step-by-step explanation:
Eastbound travels at 95 miles per hour the westbound train travels at 105 miles per hour .how long will it take for the two trains to be 480 miles apart
Answer:
48
Step-by-step explanation:
This is a linear equation, it goes as follows:
\(105(x) - 95(x) = 480\)
x stands for hours.
Solving for x yields 10.
Keep in mind that 105 and 95 are miles per hour where 480 is miles. So multiplying \((\frac{miles}{hours}) (hours)\) gives off hours which is what we are looking for.
Hope this helps.
I need help on this pleasee
Answer:
-8/65 is the answer ......................
Write x^2 - 8x + 10 in the form
(x + a)^2 + B
\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)
Factorize q2-4 completely
The completely factorized form of the expression q² - 4 is (q + 2)(q - 2).
What is the factored form of the expression?Given the expression in the question:
q² - 4
To factorize the expression q² - 4 completely, we can use the formula for the difference of squares.
The difference of squares formula states that :
a² - b² can be factored as (a + b)(a - b).
Given that:
q² - 4
Replace 4 with 2²
q² - 2²
From this expression, let a = x and b = 2
a² - b² = (a + b)(a - b)
q² - 2² = (q + 2)(q - 2)
Therefore, the factored form is (q + 2)(q - 2).
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Find the values of x and y in the special right triangle below.
Answer:
x=6 y=12
Step-by-step explanation:
30-60-90 triangle
shorter leg is x
longer leg is \(x\sqrt{3}\)
hypotenuse is 2x
since the longer leg is \(6\sqrt{3}\) than makes x=6
and y=2(6)=12
2,239 ÷ 7
Division compatible numbers
Answer:the answer is 319.857 and round to 320
Step-by-step explanation:
fourth degree and a single zero of -3
The degree of a polynomial is the highest power of the polynomial.
The polynomial is \(\mathbf{P(x) = (x + 3)^4}\)
The degree is given as:
\(\mathbf{n = 4}\)
The zero is given as:
\(\mathbf{x = -3}\)
Add 3 to both sides
\(\mathbf{x + 3= 0}\)
From the question, we understand that the polynomial has a single zero.
So, the polynomial is:
\(\mathbf{P(x) = (x + 3)^n}\)
Substitute 4 for n
\(\mathbf{P(x) = (x + 3)^4}\)
Hence, the polynomial is \(\mathbf{P(x) = (x + 3)^4}\)
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What is 12 5/25 as a mixed number simplest form?
Answer:
12 1/5
Step-by-step explanation:
5 can go into itself one time and 5 can go into 25 5 times hope that makes sense
Answer:
12 1/5
Step-by-step explanation:
Find the dot product of u and v.
u = (−4, 1)
v = (5,-4)
UxV =
(URGENT)!!!!!!!
Write one sentence that addresses the issue of globalization from the text and one sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers
Answer:
Step-by-step explanation:
One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.
One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence
Given f(t)=t+3 and g (t) = 2t2 - 3t+ 4, find
(f.g) (t).
Write your answer in standard form.
The value of the solution of (f.g)(t) is 2t^2-3t+7
What is function and example?A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.
What are the 3 types of functions?Types of Functions
Many – one function. Onto – function (Surjective Function) Into – function. Polynomial function
In the given equation,
f.g (t) is 2t^2-3t+7
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A jar contains 20 yellow jellybeans, 20 orange jellybeans, 20 red jellybeans and 20 green jellybeans.
Required:
a. In how many ways can you put all the jellybeans in a row?
b. How many ways are there to select a handful of 20 jellybeans?
c. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red?
d. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange?
Answer:
A)
\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)
B)
\(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)
C)
= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)
D)
= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)
Step-by-step explanation:
A) How many ways can you put all Jellybeans in a row
Total number of Jellybeans = 80
The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans
Therefore the number of ways the Jellybeans can be put in a row is :
\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)
B) How many ways are there to select a handful of 20 jellybeans
lets assume:
yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d
a + b + c + d = 20
This is the number Non-negative integer solutions
= \(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)
C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3
hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red
= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)
D) In this case the value of C ≥ 3 and B ≤ 2
Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange
= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)
SLOPE DIGITAL ESCAPE ROOM
I need help finding the code
By finding all the four slopes, we can see that the word is ECHA.
How to find the word?We know that the general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:
s = (y₂ - y₁)/(x₂ - x₁)
With that formula we can get the slopes.
1) Using the points (0, 3) and (2, 4).
m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.
2)Using (-1, -12) and (1, -8)
m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.
3) We have (2, -6) and (-4, -3) so:
m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H
4)we can use the points (0, 3) and (1, 1), so:
m = (1 - 3)/(1 - 0) = -2, so the letter is A
Then the word is ECHA
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