The coordinate of point c is such that point c is 7/8 of m to j is [ 7/8(x₂ - x₁), 7/8(y₂ - y₁) ].
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
For example (5,3) here 5 will be for the x and 3 will be for the y.
Another example is (9,0) here 9 is for x and 0 is for y.
Let's say the coordinate of m → (x₁,y₁)
j → (x₂ ,y₂)
Now since point c is proportion with 7/8
So,
It will be 7/8 times of difference between of x and y coordinate of points m and j
So,
x = 7/8(x₂ - x₁) and y = 7/8(y₂ - y₁)
Hence "The coordinate of point c is such that point c is 7/8 of m to j is [ 7/8(x₂ - x₁), 7/8(y₂ - y₁) ]".
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If there are 52 weeks in a year, how many more hours does a squirrel sleep in a year than a rabbit?
The squirrel sleeps 2548 hours more than the rabbit.
Difference of the numbers
Difference of the numbers means the result of subtracting one number from another.
Given,
If there are 52 weeks in a year,
Then we need to find how many more hours does a squirrel sleep in a year than a rabbit.
First, we have to find the sleeping pattern of squirrel and rabbit.
A squirrel spends up to 60% of its day asleep, which means that an average squirrel sleeps for almost 15 hours each day.
Similarly, the rabbits are sleep six to eight hours each day.
So for one day,
Rabbit = 8 hours per day
Squirrel = 15 hours per day.
Then the sleeping hours for one week is
Rabbit = 8 x 7 = 56 hours
Squirrel = 15 x 7 = 105 hours
So, for 52 weeks, they spend
Rabbit = 56 x 52 = 2912
Squirrel = 105 x 52 = 5460
So, the difference is
=> 5460 - 2912
=> 2548
Therefore, the squirrel sleeps 2548 hours more than the rabbit.
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A $44,200.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account? Round to the nearest cent.
The balance amount at the end of 4 years in the account will be $53275
Principal amount= $44200
Rate of interest = 5% compounded annually
Number of years amount is invested for: 4 years
The formula for compound interest is given by:
A = P(1 + r/100)^n
where A = Final amount
P = principal amount invested
r = Rate of interest annually
n = number of years amount is invested
Putting the values in the formula we get:
A = 44200(1 + 5/100)^4
= 44200(1.05)^4
=44200*1.21
Amount at end of 4 years= 53725.37 or 53725
So, the balance amount at the end of 4 years in the account will be $53275
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21
Starting with the letter A and counting left
to right,
B
C
I
J
P Q
write the fifth letter
write the eighth letter
write the third letter
A
H
O
D
K
E
L
RS
CND
G
F
M
T U
Answer:
fifth letter: E
eighth letter: H
third letter: C
Im not sure
Givin h(x) =-x-2 , solve for x when h(x)= 3.
Answer:
-5
Step-by-step explanation:
h(x)=3
3=-x-2
3+2=5
3=-(-5)-2
negatives cancel
3=5-2
6. Subtract (-2)-3-6. Hint: Using the order of operations, first subtract the first two numbers, then subtract 6 from the result.
O-7
07
O 11
O-11
The value of the expression according to the order of operations is -11. Thus option D is correct.
According to the statement
We have to find that the value of the given expression.
So, For this purpose, we know that the
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression.
From the given information:
The expression are :
(-2)-3-6
Now solve it with the order then
(-2)-3-6 = (-2)-3-6
(-2)-3-6 = -2-3-6
Now add the first two terms
then
(-2)-3-6 = -5-6
Now, Add next two terms
Then
(-2)-3-6 = -11.
The value becomes -11.
So, The value of the expression according to the order of operations is -11. Thus option D is correct.
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The price for us postage stamps has increased over the years. since 1975, the price has increased from $0.13 in 2005 at a rate that is approximately linear. write a linear model for the price of stamps during this time period. let p represent the price and t represent the number of years since 1975.
It is found that Linear Equation: P = 0.008T + 0.13 and Price of stamp in 2015 = $0.45
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
From 1975 to 2005, 30 years, the price increased from 0.13 to 0.37.
This means the rate of change (slope) = 0.24/30 = 0.008
This means Price changed (increased) by $0.008 per year.
Slope = 0.008
The y-intercept (P) is at the starting point which is at T = 1975; the price was 0.13. Hence y-intercept is 0.13
The equation of a line is given as;
P = mT + b
Where m is the slope and b is the y-intercept.
Now, we can write the linear model equation as;
P = 0.008T + 0.13
Then to find the price of stamp in 2015, we see that this is 40 years later after 1975. So we plug in 40 into T in the equation found above;
P = 0.008(40) + 0.13
P = $0.45
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Just give me the answer, Dont explain, Thank you.
The general term of the function is y = 4000 + 100x
How to determine the general term of the function?The given parameters are
Guaranteed = $4000
Monthly raise = $100
Let the number of months be x, and the total earning be y
So, we have:
y = Guaranteed + Monthly raise * x
This gives
y = 4000 + 100 * x
Evaluate
y = 4000 + 100x
Hence, the general term of the function is y = 4000 + 100x
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Evaluate the expression 5•5-1•3
5 * 5 - 1 * 3
Since multiplication goes before addition in PEMDAS, we do the multiplication first.
25 - 3
2
Answer:
22
Step-by-step explanation:
5•5-1•3
(5 x 5) - (1 x 3)
25 - 3
22
You would multiply both separately and then subtract.
Remember PEMDAS
:)
Step-by-step solution, please?
Answer:
28y - 4
Step-by-step explanation:
multiply 28 by everything in the bracket
28y - (28/7)
28y - 4
I need help with all of these ☹️
1. The balloon's average rate of descent is 19 meters per second.
2. The average rate of change of price of one share is $7.896.
3. 0.5 and 0.4286
How do you divide the values?1. The balloon descended 95 meters in 5 seconds. It should be noted that the average rate of descent will be:
= 95 meters / 5 seconds
= 19 meters per seconds.
2. Price of shares = $39.48
Number of days = 5 days
The average rate of change of price of one share will be:
= 39.48 / 5
= $7.896
3. The decimal value of 1/2 is 0.5.
Also, the decimal of 3/7 will be 0.4286.
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Which is an expression of degree 4 which has a leading coefficient of 9 and a
quadratic term with coefficient of 10.
3
A. 9x² + 2x³ + 10x²
B. 10x + 2x³ + 9x²
C. 10x² + 9x + 4
2
D. 4 + 9x + 10x
Answer:
None of those answers contain a polynomial of degree 4. None have a leading coefficient of 9.
Step-by-step explanation:
The degree of such a polynomial is equal to the highest exponent on x.
The leading coefficient is the coefficient for the highest exponent of x.
Consider the composite function g (f (x)) = x startroot 6 endroot. if f(x) = 3x2, what is g(x)?
Consider the composite function g (f (x)) = x startroot 6 endroot. if f(x) = 3x2, g (x) = StartRoot 2 x EndRoot.
What is squareroot?
In mathematics, the square root is a factor that, when multiplied by itself, equals the original integer. For instance, the square roots of 9 are both 3 and -3. The Babylonians had efficient techniques for calculating square roots as early as the second millennium bc.Example of a square root-
The radical symbol for the number's root is shown here. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number. For instance, the square of 3 is 9, the square root of 9 is 9, and 32 also equals 9.Learn more about square root
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Does the figure below appear to have line symmetry if so how many lines of symmetry
A bird flies from the bottom of a canyon that is 56 1/10 feet below sea level to a nest that is 822 3/10 feet above sea level. What is the difference in elevation between the bottom of the canyon and thr birds best
A bird flies from a nest that is 822 3/10 feet above sea level to the bottom of a canyon that is 56 1/10 feet below it.
The canyon is 737 feet higher than the bird's nest, by a difference of 3 feet.
based on the facts provided, we know that;
The depth below sea level is 52 3/ 5 feet, hence the value would be negative.
The height above sea level is 789 3/ 10, which requires a positive number.
Let's convert the improper fractions from the mixed fractions;
= - 263/ 5 = - 52. 6 feet
789 3/ 10 = 7893/ 10 = 789. 3 ft
the canyon's and the bird's nest's contrasting elevations;
= -52. 6 + 789. 9
Equals 737. 3 feet
Consequently, there is a 737. 3 foot difference in height between the canyon and the bird's nest.
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-12 / 3 * (-8 + (-4)^2 - 6) +2
simplified please !!
I need it soon please!
ILL GIVE BRAINIEST
i need the steps too
Answer:
-6
Step-by-step explanation:
use PEMDAS
start with the exponent: (-4)^2=16
-12 / 3 * (-8 + 16 - 6) +2
then the parentheses: (-8+16-6)=2
-12 / 3 * 2 +2
next is multiplication/division, division comes first so: -12/3=-4
-4 * 2 +2
then multiplication: -4*2=-8
-8+2=-6
. Model Real Life A veterinarian walks about
10,000 steps each weekday. She walks about
8,000 steps each day of the weekend. About how
many steps does she walk in one week?
No. of steps in one week = 66000
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
In weekday = 10000
In weekend = 8000
There are 5 weekdays and 2 days in weekend
SO, 5 x 10000 + 2 x 8000
= 50000 + 16000
= 66000 steps.
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What is the volume of this rectangular prism? 5 4 cm 4 3 CT | C 3 5 cm cm
find the intersection of the three sets: A={-2,7,8,11}, B={-2,7,11}, C={-2,8,11}
The intersection of three sets A,B and C is {₋2 , 11}.
Given set A = {₋2,7,8,11}
set B = {₋2,7,11}
set C = {₋2,8,11}
we need to find A∩B∩C.
The components shared by all the sets A, B, and C are given by the intersection of A and B as a set. A ∩ B ∩ C is a notation that can be used to indicate the intersection of A, B, and C.
To obtain A intersection B intersection C, first determine the common elements of sets A and B, or A ∩ B. Then determine the common elements of sets B and C, or B ∩ C. Finally, compute the common elements of these two results.
we first find:
A∩B = {₋2,7,8,11} ∩ {₋2,7,11}
= {₋2,7,11}
then B ∩ C = {₋2,7,11} ∩ {₋2,8,11}
= {₋2 , 11}
now (A∩B) ∩ (B∩C) = {₋2,7,11} ∩ {₋2 , 11}
= {₋2 , 11}
hence we get the intersection of three sets as {₋2 , 11}
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Identify the vertex, axis of symmetry, and direction of the graph of each function. Compare the width of the graph to the width of the graph of f(x)=x^2
===================================================
Explanation:
Compare the equation
[tex]y = (x-2)^2 - 4[/tex]
to the vertex form
[tex]y = a(x-h)^2 + k[/tex]
we have:
a = 1h = 2k = -4The vertex is located at (h,k) = (2, -4). Nice job on getting the correct answer for the vertex.
The axis of symmetry is x = 2 since the axis of symmetry goes through the vertex. It's the vertical mirror line.
Because a = 1 is positive, the parabola opens upward. It forms a bowl shape. The vertex is the lowest point.
If a < 0, then the parabola would open downward and have a highest point.
PLEASE HELP ASAPPP !! WILL GIVE BRAINLIEST AND 5 STAR RATINGGG
Answer: C
Step-by-step explanation:
A negative times a negative equals a positive.
PLEASEEEE HELP MEEEEEEEEEEEEEEE
Using translation concepts, we have that:
a) The parent function is f(x) = |x|.
b) The transformations were a reflection over the x-axis, vertical stretch by a factor of 2 and a shift down of 3 units.
c) The graph is given at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the parent function is given by:
f(x) = |x|.
The transformations are given as follows:
Reflection over the x-axis, as the function was multiplied by a negative number.Vertical stretch by a factor of 2, as the function was multiplied by a number that has absolute value 2.Shift down of 3 units, as 3 was subtracted from the function.The graph of the two functions, the parent(red) and the translated(blue), is given at the end of the answer.
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Do you guys know how to find a square root or cube root without a calculator? I need a explanation and a example.
Answer:
square of the following
2×2=4
3×3=9
4×4=16
2×2×2=8
now
square root
√4
√2×2
=2 answer likewise other
again
cube root
√8
=√2×2×2
=2 through that you can find these
at first you should know square and cube of different numbers from 1 to 20 is the required you should know then you can easily find out answer
Smallest
437.55
437.49
437.15
437.5
437.05
Largest
Answer:
smallest to largest will be:
437.05 , 437.15, 437.49, 437.5, 437.55
Step-by-step explanation:
an easier method i use is to simply check the 1st digit rhat comes after the decimal point if the whole numbers are similar.
in a case where there is only one number after the decimal while the rest have 2, for example 437.5, simply add a 0 to make it even as the rest
3-1¹-2
Convert 4 to an improper fraction?
000
12/4
4/13
4/12
13/4
Answer:
13/4
Step-by-step explanation:
_______________________________
What ratio is equivalent to 18:3 and 6:1
Answer:
12:2
Step-by-step explanation:
THIS IS TRUE AND EASY
Answer:
12:2
24:4
30:5
36:6
42:7
point b is between A and C. if AC = 3x+3, BC = 2x-1, and AB = 11. Find the length of BC
==================================================
Work Shown:
AB+BC = AC
(11) + (2x-1) = 3x+3
2x+10 = 3x+3
2x-3x = 3-10
-x = -7
x = 7
which is then use to find:
BC = 2x-1 = 2*7-1 = 13AC = 3x+3 = 3*7+3 = 24As a check,
AB+BC = 11+13 = 24 = AC which confirms the answer.
Point N is the midpoint of segment FG. If FN = 2z2 + 4z +3, write the expression below that represents FG.
The center of segment FG is located at point N. Write the formula that expresses FG if FN = 2z2 + 4z + 3.
Since O represents the midway, both FO and OG must be equal.
3x + 17 = 7x - 15
Add 3x to both sides and subtract:
17 = 4x -15
To both sides, add 15:
32 = 4x
Subtract 4 from both sides:
x = 32/4
X = 8
Now that you know the value of X, find the lengths:
FO = 3x +17 = 3(8) +17 = 24 +17 = 41
OG = 7x -15 = 7(8) -15 = 56-15 = 41
Total length would be 41 + 41 = 82
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25 points plus brainliest
Answer:
2
Step-by-step explanation:
To get the slope you must subtract the second y-coordinate and the first y-coordinate (of the 2 given points) and divide that by the difference of second x-coordinate and first x-coordinate (of the 2 given points).
y-coordinate 2 - y-coordinate 1
--------------------------------------------- <----- fraction bar/ divide
x-coordinate 2 - x-coordinate 1
3 - 1 2
------ = ---- = 2
1 - 0 1
Slope = 2
Need help with Equations with Fractions - URGENT!!!!
Answer: 2: v = -26 | 3: k = 7 | 4: x = 3/14 |
Step-by-step explanation:
---------------------------------------------------------------------------------------------------
2: 4 + v/8 = 3/4
First we have to leave the variable "v" alone and we do the opposite on the other side.
So we do 4 + v/8 = 3/4 ----> v/8 = 3/4 - 4
---> v/8 = -3 1/4
next we do 8 * v/8 = -3 1/4 * 8
We get v = -26
---------------------------------------------------------------------------------------------------
3: 2/3 + 3/4k = 71/12
Subtract 2/3 from both sides
= 3/4k = 63/12
Reduce 63/12 to 21/4
= 3/4k = 21/4
Multiply each side by 4/3, the reciprocall of 3/4
then we get k = 21/3
Which means k = 7
---------------------------------------------------------------------------------------------------
4: 1/2 + 7/10x = 13/20
Subtact 1/2 from both sides
= 7/10x = 3/20
Multiply each side by 10/7, the reciprocal of 7/10
x = 3 * 10/20 * 7
= x = 30/140
= x = 3/14
11 Write as a power of 5
125²