1 point Esther thinks she understands how to find the midpoint of a segment on a graph. "I always look for the middle of the line segment. But what should I do if the coordinates are not easy to graph?" she asks. Find the midpoint of KL if (2.125) and L(98, 15). *
Answers
In this case, we can write out the parameters
\(\begin{gathered} x_1=2,_{}y_1=125, \\ x_2=98,y_2=15 \end{gathered}\)Thus, substitute the coordinates in the mid-point formula and simplify
\(\begin{gathered} x_m=\frac{98+2}{2}=\frac{100}{2}=50 \\ y_m=\frac{125+15}{2}=\frac{140}{2}=70 \end{gathered}\)Hence, the coordinate of the mid-point is (50, 70)
Related Questions
Find angles A, B, C and D
Answers
Answer: a=101 b=79 c=83 d=97
Help pleaseeeeeeeeeee
Answers
2 - quadrilateral
3 - obtuse triangle
4 - scalene triangle
5 - pentagon
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
Answers
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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I invested $750 and earned 16% yearly interest
Write the equation
Complete the table
Answers
The equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is: Interest = $750 * 0.16.
To write the equation for calculating the yearly interest earned on an investment, we can use the formula:
Interest = Principal * Rate
Where:
- Principal is the initial investment amount.
- Rate is the interest rate expressed as a decimal.
In this case, you invested $750, and the annual interest rate is 16%. To use the decimal form of the interest rate, we divide it by 100:
Rate = 16% = 16/100 = 0.16
Substituting the values into the equation:
Interest = $750 * 0.16
To calculate the interest, we multiply the principal by the interest rate:
Interest = $750 * 0.16 = $120
Therefore, the equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is:
Interest = $750 * 0.16
Now, let's complete a table to show the growth of your investment over multiple years. We'll assume the interest is compounded annually.
Year | Initial Investment | Interest Earned | Total Value
---------------------------------------------------------
1 $750 $120 $870
2 $870 $139.20 $1009.20
3 $1009.20 $161.47 $1170.67
4 $1170.67 $187.31 $1357.98
5 $1357.98 $217.28 $1575.26
In each year, we calculate the interest earned by multiplying the initial investment by the interest rate (16% or 0.16). The total value is obtained by adding the initial investment and the interest earned. This process is repeated for each subsequent year.
The table shows the growth of your investment over five years, demonstrating how the interest compounds and increases the total value each year.
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You purchase a new car today.the value of that car depreciates based on the function f(t)=12,000(0.96)^t, where t is measured in years after purchase. How much is the car worth after 3/2 years, rounded to the nearest dollar
Answers
Considering the definition of exponential function, the value of the car is 11,287.25 dollars.
What is exponential functionAn exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:
f(x)= aˣ
Being a a positive real, a > 0, and different from 1, a ≠ 1.
When 0 < a < 1, then the exponential function is a decreasing function and when a > 1, it is an increasing function.
What is the price of the carIn this case, the value of that car depreciates based on the function f(t)=12,000×\(0.96^{t}\) where t is measured in years after purchase.
After 3/2 years, the value of the car is calculated as:
f(3/2)=12,000×\(0.96^{3/2}\)
Solving:
f(3/2)= 11,287.25
Finally, the value of the car is 11,287.25 dollars.
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At the opening of a new movie 45% of the people in the theater were children.There were 187 adults were in the theater.What was the total number of people at the movie?
Answers
The number of people at the movie is 340
How to determine the number of people at the movieLet's represent the total number people at the movie as "x".
We know that the number of adults in the movie is 187 and the percentage of children is 45%
So we can write:
187 = (1 - 45%) * x
This gives
187 = 0.55x
To solve for x, we can divide both sides by 0.55:
x = 187/0,55
Evaluate
x = 340
Hence, the number of people is 340
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The sum of two consecutive integers is 201 find the integers
Answers
100 and 101
the two integers are n and n+1. this means that 2n+1=201. n=100 and n+1=101
Find a number that
has exactly 7 different prime factors.
Explain how you found it.
Answers
Answer:
957,697,598
Step-by-step explanation:
You want a number that has 7 different prime factors.
PrimesIf we choose 7 primes at random from the first 20, we might have the list ...
{2, 11, 13, 23, 41, 53, 67}
The product of these primes will have 7 different prime factors.
2 × 11 × 13 × 23 × 41 × 53 × 67 = 957,697,598
The number 957,697,598 has exactly 7 different prime factors.
__
Additional comment
Any of these factors might have a power greater than 1 without changing the number of different primes. We chose to keep it simple.
The second attachment shows the first 20 prime numbers.
Suppose you make monthly mortgage payments of $1,345 and have 10 years left on the mortgage (next payment due next month). Assuming a 3.6% stated annual interest rate for the mortgage, how much would you need today to pay off the mortgage?
Answers
I will need $1,61,884.2 to pay off the mortgage.
This problem is related to simple interest and we have to calculate the amount after 10 years which is payable in the form of mortgage.
The monthly mortgage payment is $1,345.
Rate of interest is 3.6% per annum.
Time is given to be 10 years.
Simple interest for 10 years = 1345×3.6×10/100
= $ 484.2
So, the total money required to clear the mortgage
= $(1345×12×10) + $ 484.2
= $161400 + $484.2
= $ 1,61,884.2
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Rectangle ABCD is translated to produce image EFGH. Which statement is
true?
Answers
Therefore, the correct statement is:" D corresponds to E." that is option B.
What is rectangle?A rectangle is a four-sided flat shape with four right angles (90-degree angles) between its sides. It is a type of parallelogram that has two pairs of opposite sides that are parallel and congruent (equal in length), and all four angles are right angles. In a rectangle, the opposite sides are equal in length, which means that the width (or height) of the rectangle is the same throughout. The length of a rectangle is the longer side, while the width (or height) is the shorter side. The perimeter of a rectangle is the sum of the lengths of all its sides, while the area is the product of its length and width. These formulas are often used to calculate the dimensions of a rectangle or to solve problems related to its area or perimeter. Rectangles are used in many applications such as architecture, engineering, mathematics, and art, and they are commonly found in everyday objects such as books, windows, doors, and computer screens.
Here,
In a translation, every point on the preimage (the original figure) moves the same distance and in the same direction to become a point on the image (the translated figure).
To determine which statement is true, we can look at the corresponding vertices of the rectangle ABCD and its image EFGH.
A corresponds to E, B corresponds to F, C corresponds to G, and D corresponds to H.
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Assume that the situation can be expressed as a linear cost function. Find the cost function in this case.
Marginal cost: $15; 150 items cost $5500 to produce.
The linear cost function is C(x) =
Answers
The linear cost function is C(x) = 15x + 3250 and the cost function in marginal cost: $15; 150 items cost $5500 to produce is $ 5500 .
The linear operate is expressed as y = mx + b .....(1)A linear value operate expresses value as a linear operate of the amount of items;Let C(x) is that the total value, and x is that the range of things.
The slope "m" is named the cost and "b" is named the charge.
The value of m is $15 and the price of "x" is 150.
Total cost of 150 items are $5500
Substitute all the values within the equation (1) , we get
5500 = 15 (150) + b
5500 = 2250 + b
3250 = b
Hence , linear cost function is given by C(x) = 15x + 3250
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Which of the following graphs represents a relation that is not a function
Answers
Name the labeled segments that are parallel to EG
Answers
Answer:
BD, AC, FH
Step-by-step explanation:
Parallel segments are segments that will never intersect. This means parallel segments will have the same slope.EG and FH are parallel, as they are on opposite sides of their corresponding rectangular face.EG and AC are parallel, as they are on opposite sides of their corresponding rectangular face.AC and BD are parallel, as they are on opposite sides of their corresponding rectangular face. Since AC and EG are parallel, this means that EG and BD are parallel as well.
You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?
Answers
Answer:
Step-by-step explanation:
total interest paid is given as $4,643.46.
total payments = $429.95 x 36 months = $15,478.20
total lease payments = total payments - total interest
total lease payments = $15,478.20 - $4,643.46 = $10,834.74
Remaining balance = Total cost of the lease - Total lease payments
$23,495 - $10,834.74 = $12,660.26
56
47
The diagram shows a round fountain surrounded by a circular path. The radius of the fountain is 47 yards, and the distance from the center of
the fountain to the outer edge of the path is 56 yards.
The estimated area of the fountain is
square yards, and the estimated area of the path is
square yards.
Hint: The formula for the area of a Circle is A = 12
Answers
Answer:
the estimated area of the fountain is 147.58 square yards and the estimated area of the path is 28.26 square yards
Step-by-step explanation:
#platolivesmatter
your welcome!!!
The area of the fountain is 147.58 square yards, and the area of the path is 28.25 square yards.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.
Given
a circular fountain,
radius of fountain = √47 yards
area of fountain = πr²
area = π(√47)²
area = 147.58 square yards.
and fountain surrounded by a circular path,
which form a concentric circle with fountain,
the radius of the circular path from center of the fountain = √56 yards
area of the path = total area with radius √56 - an area of fountain
area of the path = π(√56)² - 147.58
area of the path = 175.84 - 147.58
area of the path = 28.26 square yards
Hence the area of the fountain is 147.58 square yards,
area of path = 28.25 square yards.
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Please help!
Triangle ABC has angle measures as shown. Show work. Complete sentence.
(a) What is the value of x?
(b) What is the measure of angle CBA?
(c) What is the measure of angle CAB?
(d) When these 3 interior angles of a triangle are added together, what does it equal?
Answers
9514 1404 393
Answer:
(a) x = 22
(b) 46°
(c) 44°
(d) 180°
Step-by-step explanation:
Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.
(a)The sum of the marked acute angles is 90°.
2x +(3x -20) = 90
5x = 110 . . . . . . . . . . add 20, collect terms
x = 22 . . . . . . . . . divide by 5
__
(b)∠CBA = (3x -20)° = (3·22 -20)° = 46°
__
(c)∠CAB = 2x° = 2(22)° = 44°
__
(d)The sum of a triangle's interior angles is 180°.
What single transformation maps ABC onto ABC?; Which rigid transformations can map triangle ABC onto triangle Fed?; What are the rigid transformations that will map โณ ABC to โณ DEF ?; Which pair of triangles can be proven congruent by the HL theorem?; Which rigid transformation S can map Triangleabc onto Triangledec ?
Answers
Single transformation maps ABC onto A'B'C' is reflection.
Given :
Reflection the single transformation maps ABC onto A'B'C' is reflection .
The rigid transformations can map triangle Δ ABC onto triangle Δ FED is reflection then translation .
The rigid transformations that will map Δ ABC to Δ DEF is rotation then translation .
pair of triangles can be proven congruent by the HL theorem is rotation then translation .
rigid transformation S can map Triangle abc onto Triangle dec is reflection then rotation .
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I NEED THE ANSWER ASAP
If you were to write the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2--what would be the value of b?
y=mx+b
Answers
y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2
m=-2
Now let us find the y intercept
-3=-2(4)+b
-3=-8+b
-3+8=b
5=b
Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.
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1
A line has a slope of 5 and a y-intercept of -2
Answers
Answer:
1
Step-by-step explanation:
Answer:
(2/5,0)
Step-by-step explanation:
The equation to find a line is mx+b=y. In this case m is 5, and b is -2.
5x+-2=y
Since we want to find the x-intercept, y has to be 0.
So: 5x+-2=0
5x=2
x=2/5
Given =(5,-2, 3) and >= (1, 1, 2) find an ordered triple that represents 3u - 2v.
Answers
The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).
To find an ordered triple representing \(3u - 2v\),
where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),
we can perform the following operations:
\(3u = 3(5, -2, 3)\)
\(3u = (15, -6, 9)\)
\(2v = 2(1, 1, 2)\)
\(2v = (2, 2, 4)\)
Now, subtracting 2v from 3u gives:
\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)
\(3u - 2v = (15-2, -6-2, 9-4)\)
\(3u - 2v = (13, -8, 5)\)
Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).
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what is the value for θ: sin (θ+20) = cos θ
Answers
Answer:
Step-by-step explanation:
Can someone plz help me
Which of the expressions are equivalent to the one below? Check all that
apply.
(8 + 2) • 4 + 2
Answers
Answer:
The answer is D. (8•4 ) + (2•4) + 2
Answer:
The answer is only D.
Step-by-step explanation:
So let's look at this together:
Before we start anything, we MUST solve the equation that we are trying to find first. That way we can compare answers.
This is the problem we must solve using PEMDAS: (8 + 2) x 4 + 2 = 42 (USING PEMDAS)
Choice A:
8 x 4 + 2 + 2 =
We would need to use PEMDAS
P = Parenthesis
E = Exponents
M = Multiplication
D = Divison
A = Addition
S = Subtract
So for Choice A, we would go in order so starting with Parenthesis there is none, so we move on to Exponents. Since there is none we go to Multiplication. Now we Multiply 8 x 4 and get 32 and add 2 + 2. The sum doesn't add up to 42, so we know that the answer choice is wrong. If you keep doing this for all the answer choices, all of them would have a different number that wouldn't equal 42.
EXCEPT D. (8 x 4) + (2 x 4) + 2 = 42
HOPE THIS HELPS!
Find the amount in a continuously compounded account for the following condition. Principal, $4000; Annual interest rate, 5.7%; time, 3 years
Answers
=======================================================
Explanation:
We have this given info
P = 4000 = principalr = 0.057 = annual interest rate in decimal formt = 3 = number of yearsUse this to plug into the formula below
\(A = Pe^{r*t}\\\\A = 4000*e^{0.057*3}\\\\A \approx 4,745.96299608713\\\\A \approx 4,745.96\\\\\)
You'll need your calculator, and the calculator needs the "e" button.
The "e" refers to the special constant 2.718... which is similar to pi = 3.14...
Which comparison is true?
Answers
Answer:
c. 50 Ounces> 3 Pounds
Step-by-step explanation:
Can't be A because 3 tons in 6000 pounds
Can't be B because 85 ounces is 5.3 pounds
Cant be D because 60 ounces is 3.75 pounds
it is C because 50 ounces is about 3.13 pounds
In △JKL , if m∠ J < 90° , then ∠K and ∠L are _____
Answers
Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.
In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.
An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.
In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.
Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.
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A nine-month old baby drank an average of 7 1/4 oz during each of four feedings. If the baby drank 7 1/2oz, 7 3/8oz, & 6 3/8oz in the first three feedings, how many ounces were taken during the fourth feeding?
A) 7 3/8
B) 6 3/8
C) 6 3/4
D) 7 3/4
Show work please
Answers
Answer: D) 7 3/4
Step-by-step explanation:
With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4
Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses
29 = 21 1/4 + x
Now we can isolate x by subtracting 29-21 1/4
so
x = 7 3/4 thus the answer is D
Answer:
D) 7 3/4
Step-by-step explanation:
Let x = amount of last feeding.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4
4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x
28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x
29 = 20 10/8 + x
(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)
29 = 21 2/8 + x
29 = 21 1/4 + x
x = 29 - 21 1/4
x = 28 4/4 - 21 1/4
x = 7 3/4
Answer: 7 3/4
I don’t understand this equation can someone explain it to me and give me an answer
Answers
Answer:
-1 = -5
0 = 0
1 = -5
2 = -20
Step-by-step explanation:
im not sure if the answer is right but i hope it helps ^^
the website i used to find my answer is called desmos
find the area of a circle with a circumference of 26π feet
Answers
A ≈ 53.79 please give me brainliest
How do you solve this 18(6-c)+13c=123
Answers
Answer:
\(c = -3\)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Given f(x)=x^2+6x and g(x)=4 x^2, find fg. fg(x)=
Answers
The composite function f·g(x) is 4x⁴+24x³.
The given functions are f(x)=x²+6x and g(x)=4x².
We need to find f·g(x).
We know that, f·g(x)=f(x)×g(x)
Here, f·g(x)=(x²+6x)×4x²
= x²×4x²+6x×4x²
= 4x⁴+24x³
Therefore, the composite function f·g(x) is 4x⁴+24x³.
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