The scale factor of 10cm to 5m is 50.
What is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures.
For example ,if a length of 5cm is doubled and it gives a length 10cm, the scale factor is 10/5 = 2. This means that we can express scale factor with a formula;
scale factor = new dimension / old dimension
Here, the old dimension is 10cm and the new dimension is 5m. We need to convert the 5m into cm
therefore 5m = 5× 100 = 500cm
therefore scale factor = 500/10 = 50
This means the scale factor of 10cm = 5m is 50
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The graph represents f(x) = x +3
On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 5, negative 1) to (negative 4, negative 1). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (1, 5) to (2, 5).
What is f(−2.2)?
-2
0
1
2
Answer:
c. 1
Step-by-step explanation:
edge 2020 :) have a nice day
The required value of f(-2.2) is 1 for the given function f(x)=x+3. The correct answer is an option (C).
The given function is f(x)=x+3.
To find f(-2.2) on the given graph of f(x) = x + 3, we need to locate the corresponding point on the step graph.
From the information provided, we know that the left-most segment starts at (-5, -1) and ends at (-4, -1), and each segment is 1 unit higher and 1 unit farther to the right than the previous segment.
To determine the value of f (-2.2), we need to find the segment that includes the x-coordinate of -2.2.
Since the x-coordinate -2.2 falls between -4 and -3 (1 unit to the right of the left-most segment), the corresponding y-coordinate is 2 units higher than the starting y-coordinate of -1.
So, f(-2.2) = −1 + 2
f(-2.2) = 1.
Thus, the required value of f(-2.2) is 1.
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video Given: A B ‾ ⊥ A C ‾ , AB ⊥ AC , A D ‾ ≅ A E ‾ AD ≅ AE and B E ‾ ≅ C D ‾ . BE ≅ CD . Prove: D F ‾ ≅ E F ‾ DF ≅ EF .
Answer:
prove: DF-~EF- DF~EF ~~AD
In stroke play, player A concedes a short putt to player B on the 7th hole. Player B picks up his or her ball and tees off on the 8th hole before holing out on the 7th hole. What is the ruling
In stroke play, when Player A concedes a short putt to Player B on the 7th hole and Player B picks up their ball and tees off on the 8th hole before holing out on the 7th hole, the ruling is that Player B incurs a penalty for not completing the hole.
In stroke play, if player A concedes a short putt to player B on the 7th hole, it means that player B can pick up their ball without completing the hole.
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WILL MARK BRAINLIEST!!
What situation or event initially escalated the conflict between the Mexican government and American settlers?
American settlers' rejection of the provisions of the Mexican immigration policy
Turmoil in the Mexican government after receiving independence from Spain
An argument over a cannon in the town of Gonzales
The Mexican government’s insistence that colonists speak Spanish
Answer:
An argument over a cannon in the town of Gonzales initially escalated the conflict between the Mexican government and American settlers.
Step-by-step explanation:
The conflict between the Mexican government and American settlers was initially escalated by an argument over a cannon in the town of Gonzales. The Mexican government had loaned the cannon to the settlers in Gonzales to defend themselves against Native American attacks, but when the government asked for the cannon back, the settlers refused and flew a flag that read "Come and Take It." This event led to the beginning of the Texas Revolution.
Answer:
An argument over a cannon in the town of Gonzales initially escalated the conflict between the Mexican government and American settlers.
Step-by-step explanation:
determine whether or not the vector field is conservative. f(x,y) = 33x2y2i + 22x3yj
The vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.
To determine if a vector field is conservative, we need to check if it is the gradient of a scalar function (i.e., a potential function). We can do this by taking the partial derivatives of each component with respect to their respective variables and checking if they are equal:
∂f_x/∂y = 66xy^2
∂f_y/∂x = 66xy^2
Since these partial derivatives are equal, the vector field is conservative. We can then find a potential function by integrating each component with respect to their respective variable:
φ(x,y) = 11x^3y^2 + 11x^2y^2 + C
where C is the constant of integration.
Therefore, the vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.
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Find the values of a and b that make f continuous everywhere.
f(x) =
(x2 − 4)/(x − 2) if x < 2
ax2 − bx + 3 if 2 ≤ x < 3
2x − a + b if x ≥ 3
The values of a and b that make f(x) continuous everywhere are a = 2x and b = 2a - 3/2 = 2(2x) - 3/2 = 4x - 3/2.
What is the limit?The limit is a concept in mathematics that describes the behavior of a function near a particular value, called the limit point. The limit of a function gives the value that the function approaches as the input (variable) approaches the limit point.
For f(x) to be continuous everywhere, the function must have the same value and the same limit as x approaches 2 from the left and the right. In other words, f(2-) = f(2+) and the limit of f(x) as x approaches 2 from the left and the right must be equal.
Let's start by finding f(2-), which is the value of f(x) as x approaches 2 from the left. In this case, f(x) = (x2 - 4)/(x - 2) for x < 2, so as x approaches 2 from the left, f(x) approaches (2^2 - 4)/(2 - 2) = 0.
Next, let's find f(2+), which is the value of f(x) as x approaches 2 from the right. In this case, f(x) = ax^2 - bx + 3 for 2 <= x < 3, so as x approaches 2 from the right, f(x) approaches a(2^2) - b(2) + 3 = 4a - 2b + 3.
Since f(x) must be continuous at x = 2, we need to have f(2-) = f(2+), so we can set f(2-) = f(2+) and solve for a and b:
0 = 4a - 2b + 3
2b = 4a - 3
b = 2a - 3/2
Now that we have an expression for b in terms of a, we can substitute b = 2a - 3/2 into the expression for f(x) for x >= 3 to find the value of a that makes f(x) continuous everywhere:
f(x) = 2x - a + b for x >= 3
f(x) = 2x - a + (2a - 3/2) for x >= 3
f(x) = 2x + 3/2 - a for x >= 3
Since f(x) must be continuous at x = 2, we need to have f(2+) = f(2+), so we can set f(2+) = f(2+) and solve for a:
4a - 2b + 3 = 2x + 3/2 - a for x >= 3
4a - 2(2a - 3/2) + 3 = 2x + 3/2 - a
4a - 4a + 3 + 3/2 = 2x + 3/2 - a
3/2 = 2x + 3/2 - a
a = 2x
So, the values of a and b that make f(x) continuous everywhere are a = 2x and b = 2a - 3/2 = 2(2x) - 3/2 = 4x - 3/2.
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hi Help pls will mark as brainlist!!!!!!!!!
Answer:
i think it would probably be RS. 4000
in a group of five friends, the sums of the ages of each group of four of them is 58, 59, 61, 62 and 64. what is the age of the oldest of the five friends?
The age of the oldest of the five friends is 19 years and the youngest is 12 years.
The given information is in a group there are five friends, the sums of the ages of each group of four of them are 58, 59, 61, 62 and 64.
The range of a data set is the difference between smaller values and a larger value in the set.
To find the age of the oldest person
Range=oldest age -the youngest age
\(oldest=\frac{Range-youngest age}{4}\)
R=(64-58/4)+(64-59/4)+(64-61/4)+64-62/4)
R=1.5+1.241+0.75+0.5
R=3.991.
64/4=16.
O=16+3.991
Oldest=19 years.
Youngest=16-3.9=12 years.
Hence, the age of the oldest of the five friends is 19 years.
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on the circumference of a circle whose radius is 8 feet, we have three points a,b, and c, such that the angle bac is 1 3 of one radian. how long is arc bc?
The length of arc BC is 8/3 feet.
To find the length of arc BC, we first need to find the measure of angle BOC, where O is the center of the circle. Since angle BAC is 1/3 of one radian, and the central angle BOC intercepts the same arc BC, we know that angle BOC is three times angle BAC, or one radian.
Since the radius of the circle is 8 feet, the circumference is 2πr, or 16π feet. Since angle BOC is one radian, it subtends an arc on the circumference that is 1/2 of the total circumference, or 8π feet.
Therefore, the length of arc BC is 1/3 of arc BOC, or 8π/3 feet.
To find the length of arc BC, we will follow these steps:
1. Identify the given information: The radius of the circle is 8 feet, and the angle BAC is 1/3 of a radian.
2. Determine the central angle in radians: Since angle BAC is 1/3 of a radian, the central angle (θ) of the circle that corresponds to arc BC is also 1/3 of a radian.
3. Calculate the length of arc BC using the formula: Arc length (L) = radius (r) × central angle (θ).
In this case, r = 8 feet and θ = 1/3 radian.
L = 8 × (1/3)
L = 8/3
4. Simplify the expression: L = 8/3 feet.
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Find the point, m, that is two-sevenths of the distance from a(-9, 2) to b(-2, -12).
(-7,-2) is the point which is two-sevenths of the distance from a(-9, 2) to b(-2, -12).
since the unknown point m divides line joining a(-9,2) and b(-2,-12) in a given ratio of 2:5 as it is given one point is at distance of 2/7 of distance between point a and b so, the other point must be at a distance of 5/7 and hence the ratio in which it divides itself is 2:5
a_______________m_________________________b
2 : 5
in the above figure it is shown clearly that m divides line joining point a and point b in the ratio of 2:5
let (x,y) be cordinate of point m
\((x_1 , y_1)\) be the point a
\((x_2 , y_2)\) be point b
m:n =2:5
m=2 ,n=5
so applying section formula
x= \(\frac{mx_2+nx_1}{m+n}\)
=> x = (2* -2 + 5 *-9) / (5+ 2)
=> x = - 49/7 = -7
y= \(\frac{my_2+ny_1}{m+n}\)
=> y = (2* -12+5 *2)/(5+2)
=> y = -2
so the point m is (-7,-2) is the required answer of the question
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Which equivalent fraction for 2/3 is? Can someone plz help me
Answer:
the answer is 4/6 or 6/9
16. Find the area of the sector.
The area of the sector with a central angle of 60 degree and radius of 8 units is approximately 33.5 sqaure units.
What is the area of the sector?A sector of a circle is simply part of a circle made up of an arc and two radii.
The area of a sector of a circle can be expressed as:
Area = (θ/360º) × πr²
Where θ is the sector angle in degrees, and r is the radius of the circle.
From the image:
Measure of central angle θ = 60 degrees
Radius r = 8 units
Plug these values into the above formula and solve for the area:
Area = (θ/360º) × πr²
Area = (60°/360°) × π × 8²
Area = 1/6 × π × 64
Area = 1/6 × π × 64
Area = 33.5 sqaure units.
Therefore, the area is approximately 33.5 sqaure units.
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The ratio of the number of toys that Jennie owns to the number of toys that Rosé owns is 5 : 2. Rosé owns the 24 toys. How many toys does Jennie own?
5 :2
x :24
2x = 24x 5
2x = 120
x = 120÷2
x = 60
Answer:
Jennie owns 60 toys.
Step-by-step explanation:
Let's assign variables to the unknown quantities:
Let J be the number of toys that Jennie owns.Let R be the number of toys that Rosé owns.According to the given information, we have the ratio J:R = 5:2, and R = 24.
We can set up the following equation using the ratio:
J/R = 5/2
To solve for J, we can cross-multiply:
2J = 5R
Substituting R = 24:
2J = 5 * 24
2J = 120
Dividing both sides by 2:
J = 120/2
J = 60
Therefore, Jennie owns 60 toys.
Directions: Arrange and write the numbers in increasing order. This means from smallest to largest, or increasing in value.
Example:
+4, -3, +2, +10, -1 becomes -3, -1, +2, +4, +10
1. +2, -5, +3, -4, +1
2. -9, -2, +7, -6, +5
3. -5, -8, -3, +4, +3
4. +8, +5, +2, +7, -6
5. -4, +6, -6, +4, -7
6. +8, +5, +9, -6, -9
7. -7, -2, +4, -5, -1
8. +3, +5, -5, +6, +2
9. -6, +4, -8, +7, -2
10. -3, +8, -4, +1, -7
Answer:
1. -5, -4, +1, +2, +3
2. -9, -6, -2, +5, +7
3. -8, -5, -3, +3, +4
4. -6, +2, +5, +7, +8
5. -7, -6, -4, +4, +6
6. -9, -6, +5, +8, +9
7. -7, -5, -2, -1, +4
8. -5, +2, +3, +5, +6
9. -8, -6, -2, +4, +7
10. -7, -4, -3, +1, +8
5/6 of number is 30. Find the number.
Answer:
36.
Step-by-step explanation:
I get this answer as I know 30 is divisible by six, so I start to investigate by how much It is divisible by.
30 / 6 = 5
Since I now know that, I can infer that 6x6 is 36.
And since 30 would give you 5/6, I imagine the answer is 36.
Unit 5 Systems of equations and inequalities, Homework 10 systems by inequalities
To solve a system of equations, you need to find the values of the variables that satisfy both equations simultaneously. There are different methods to solve systems of equations, including substitution, elimination, and graphing. Here's an example of using substitution:
Solve the system of equations:
2x + y = 5
x - y = 1
From the second equation, we get x = y + 1. Substitute this expression for x into the first equation:
2(y + 1) + y = 5
Simplifying and solving for y, we get:
3y + 2 = 5
3y = 3
y = 1
Then, substitute y = 1 into x = y + 1 to get:
x = 2
So the solution to the system of equations is x = 2 and y = 1.
To solve a system of inequalities, you need to find the values of the variables that satisfy both inequalities simultaneously. There are different methods to solve systems of inequalities, including graphing and substitution. Here's an example of using graphing:
Solve the system of inequalities:
x + y ≤ 3
x - y > 1
First, graph the boundary lines of each inequality. For the first inequality, the boundary line is x + y = 3, which is a line with intercepts (3, 0) and (0, 3). To decide which side of the line to shade, test a point that is not on the line, such as (0, 0):
0 + 0 ≤ 3, which is true
Therefore, shade the side of the line that contains the origin.
For the second inequality, the boundary line is x - y = 1, which is a line with intercepts (1, 0) and (0, -1). To decide which side of the line to shade, test a point that is not on the line, such as (0, 0):
0 - 0 > 1, which is false
Therefore, shade the side of the line that does not contain the origin.
The shaded region that satisfies both inequalities is the region that is below the line x + y = 3 and to the right of the line x - y = 1. This region is a triangle with vertices (1, 2), (2, 1), and (2, 2).
I hope this explanation helps you with your homework!
Jell was playing among us for 3 hours straight,the next day she played for 1 hour,in total she played for 4 hours,and each time she was impostor for 19 games so how long is each game for her to win each time
hint:19*4
Answer:76
Step-by-step explanation:
Need help taking finals.
Answer:
A. y=3x-1
Step-by-step explanation:
To find the equation of the line, first, you need to find the slope. Input 2 values into the formula to find the slope. -7-(-4)/-2(-1)= -3/-1= 3. Since the slope is 3 then that means it has to be A since it is the only one with a slope of 3.
What is the perimeter of this triangle?
A- P=40in
B- P=38in
C- P=48in
D- P=45in
RS=6y+2, ST=3y+7 and RT=54
a. what is the value of y?
b. find RS and ST
please answer asap
Answer:
y = \( \frac{5}{3} \)
RS = 12
ST = 12
Step-by-step explanation:
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Daryl Mattingly bought a rental property in Lake Arrowhead for $185,900. After a $40,000 down payment, he mortgaged the rest. His annual expenses totaled $19,850 and he rented the condo for $3,875 per month for 6 months. Determine a) the annual net income and b) the annual yield.
The annual net income and annual yield are $3400 and 2.335 respectively
What is the annual net incomea) To find the annual net income, we need to subtract the annual expenses from the annual rental income. The annual rental income can be calculated as follows:
$3,875 * 6 months = $23,250
The annual net income would be:
$23,250 - $19,850 = $3,400
b) The annual yield can be calculated as the annual net income divided by the total cost of the property, including the down payment:
$3,400 / ($185,900 - $40,000) = 0.023 or 2.33%
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I need help I will give brainiest if correct plz solve all of these two questions
Answer:
1. You should mix 5 cups of yellow paint with 1 cup of blue paint. The table shows that the ratio is 1:5 (blue:yellow) so 1 cup of blue paint means you need 5 cups of yellow paint.
2. Using the same ratio (1:5), you can multiply both numbers by any number and get the same shade of green.
5 cups of blue paint will need 25 cups of yellow paint.
(1 x 5 = 5 : 5 x 5 = 25)
Step-by-step explanation:
A jar of peanut butter is in the shape of a cylinder. The jar has a radius of 4 centimeters. It is filled with peanut butter to an inside height of 12 centimeters.
Answer:
602.88
Step-by-step explanation:
Formula for area is r²
4² is 16
16*3.14 = 50.24
50.24 × 12 = 602.88
Brainliest please?
Answer:
To find how much peanut butter is in this jar, we use the formula for the volume of a cylinder.
(formula for vol. of cylinder)
V = π\(r^{2}\)h
Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is being squared, and lastly 'h' stands for the height.
We are given the dimensions of:
Radius = 4 centimetresHeight = 12 centimetresThis is all the information we need to fulfill the equation to this formula(volume of cylinder).
Plug in what you know:-
V = π\(r^{2}\)h
(For 'pi' I'll be using 3.14 instead of 22/7)
V = 3.14(4^2) · 12 ← (The symbol ' ^ ' means to the power of.)
V = 3.14(16) · 12
V = 50.24 · 12
V = 602.88, 602.88 centimetres is the volume for this jar.
What is -12.25 / (1.4)?
A. -13.65
B. -8.75
C. 8.75
D. 13.65
Answer:-8.75
Step-by-step explanation:
Answer:
C. -8.75
Step-by-step explanation:
Ultimately, you are dividing a negative number by a positive number which makes the answer negative. The only way the answer can be positive if it's dividing by two negatives or two positives. You can also assume that since the divider is greater than 1, it is usually less than the first number for this statement which makes your answer -8.75.
What is the distance, d, between the points (2, 5/2) and (8/3, 1)? Enter your answer in the box. Enter your answer in simplest radical form.
d=___
Answer:
Sqrt (97/36)
Step-by-step explanation:
(2, 5/2) and (8/3, 1)
Sqrt [ (1 - 5/2)^2) + (8/3 - 2)^2]
Sqrt [ (3/2)^2 + (2/3)^2 ]
Sqrt (9/4 + 4/9)
= sqrt (97/36)
Find the missing information for both parts
Answer:
hard,sorry I can't answer the question don't be angry at me I beg you
Enter the correct answer in the box. Write the sum of √28x^6 + 4√7x^6 in simplest form, if x ≠ 0.
Answer: 7x 4⋅(x+1)⋅(x−5)
Step-by-step explanation:
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
PLSSSSS HELPPP!!!!!
The surface area of the rectangular prism is 112 square metes.
What is surface area?The sum of all area of each surface that make up an object is referred to as its surface area.
So that in the given question,
Area of a rectangle = length x width
i. area of its base = length x width
= 8 x 2
= 16 sq. m
ii. area of its front surface = length x width
= 4 x 8
= 32 sq. m
iii. area of it one of its sides = length x width
= 4 x 2
= 8 sq. m
Therefore,
surface area of the rectangular prism = (2 x 16) + (2 x 32) + (2 x 8)
= 32 + 64 + 16
= 112
The surface area of the rectangular prism is 112 square meters.
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Make a table and graph each quadratic function. Use integers from -3 to 3 for inputs. y=-x²
The complete table for the function y = x² are
x -3 -2 -1 0 1 2 3
y 9 4 1 0 1 4 9
How to complete the table for the function.From the question, we have the following parameters that can be used in our computation:
The function equation
This is given as
y = x²
Also, the input values are given as -3 to 3
So, we have
y = (-3)² = 9
y = (-2)² = 4
y = (-1)² = 1
y = (0)² = 0
y = (1)² = 1
y = (2)² = 4
y = (3)² = 9
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what is the name of the first man going to the moon?what is the year the first man got to the moon? how old is he?
Answer: Neil Armstrong
Step-by-step explanation:
Year: July 20 1969
Age:38