There is a Rotation of 180 degrees
What is Co-ordinate Geometry?
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
We are given that point A is (4, 5) this means that the point lies in the First Quarter of the Co-ordinate System
and the transformed point lies in the Third Quarter of the Co-ordinate System
So, it can be very well said that there is a Rotation of 180 degrees
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If the perimeter of square garden is 84 feet what s the area of the garden
Answer:
441
Step-by-step explanation:
Get each side of the square
84/4 = 21
Multiply to get the area
21*21 = 441
Answer:
441 feet
Step-by-step explanation:
4 times s is how you find the perimeter of a square so we can put this in an equation
4s=84
/4. /4
s=21
Now to find area we multiply side by side or side squared
21x21
441
Hopes this helps please mark brainliest
There’s 7 reds and 11 blues in the simplest form what is the ratio
Answer:
7 : 11 is the right answer
In the figure above, the radius of the inscribed circle is inches (in.). What is the perimeter of square CABD?
Answer:
perimeter of the square is 32 inches
which agrees with the last answer in your list of options.
Step-by-step explanation:
Notice that the radius of the circle is exactly half of the side of the square, therefore, each side of the square must be 8 inches long.
Then, the perimeter of the square (addition of its four sides) is :
4 x 8 inches = 32 inches
Answer:
Step-by-step explanation:
32
A company produces boxes of dvds of a rate at 52 boxes per hour. they begin to produce boxes when they first open for the day and after 3 hours they have 404 boxes in stock.
Write a linear model for the amount of boxes b, as a function of the number of hours as they opened,h, Use your model to predict the number of boxes in stock at the end of an 8 hour shift
Answer:
284 boxes
Step-by-step explanation:
Verify the identity.
sin x/1-cos x = csc x + cot x
Answer:
See below for proof
Step-by-step explanation:
\(\displaystyle \frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{(1-\cos x)(1+\cos x)}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{\sin^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{1+\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\frac{1}{\sin x}+\frac{\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\csc x+\cot x\)
Which mathematical word describes both 27X and 6X in the expression 27X plus 6X
The mathematical word that describes both 27X and 6X in the expression 27X + 6X is term
How to determine the mathematical word?The expression is given as:
27X plus 6X
Rewrite the expression as:
27X + 6X
In the above expression, 27X and 6X are the terms of the expression.
Hence. the mathematical word is term
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206) A recipe for cupcakes calls for 3-
3
10
200
7
sugar. Julio accidentally put in 4-
10
How many extra cups did he put in?
cups of
cups.
Julio accidentally put in an extra 1/10 cup of sugar.
To calculate the number of extra cups of sugar that Julio put in, we need to find the difference between what the recipe called for (3/10 cups) and what he actually added (4/10 cups).
The difference can be calculated as follows:
Actual amount - Required amount = Extra amount
= 4/10 - 3/10
= 1/10
Therefore, Julio accidentally put in an extra 1/10 cup of sugar.
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please help quick:)
x=
4
9
16
Answer:
16...is your answer..hope this help you ....
Use the distributive property to simplify your answer.
(4+3)⋅−4
Answer:
-28
Step-by-step explanation:
\(-4(4+3)=-4(4)-4(3)=-16-12=-28\)
Answer:
-28
Step-by-step explanation:
(4 + 3) * -4 = 4*-4 + 3*-4 = -16 + + (-12) = -28
Pls help I’ll brainlest):
Step-by-step explanation:
cross-multiply
4y = -2
y = -2/4
y = -1/2
Answer-
y=-1/2
Multiply each side by -2 to isolate the variable.
1/4 x -2 = -1/2
What is the slope of the line?
Answer:
math way
Step-by-step explanation:
5t+7+8b
I need also help on -2(x+3)=_-6
The solution to the equation -2(x + 3) = -6 is x = 0.
To simplify the expression 5t + 7 + 8b, we can combine like terms.
There are two like terms in the expression: 5t and 8b.
Combining the like terms gives us:
5t + 8b + 7
Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.
Regarding the equation -2(x + 3) = -6:
To solve this equation, we can follow these steps:
Distribute the -2 to the terms inside the parentheses:
-2 * x + (-2) * 3 = -6
This simplifies to:
-2x - 6 = -6
Move the constant term to the right side by adding 6 to both sides of the equation:
-2x = 0
Divide both sides of the equation by -2 to isolate the variable x:
x = 0 / -2
Simplifying the right side of the equation gives us:
x = 0
The solution to the equation -2(x + 3) = -6 is x = 0.
The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.
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Nancy and Linda go to their favorite restaurant. Nancy has a $5 off coupon to use for her purchase of $30. Linda has a 10% off coupon to use for her purchase of $25. What is the difference between the total the friends will pay individually?
Answer:
2.50 dollars
Answer:
2.50
Step-by-step explanation:
The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and a standard deviation of 117 chips. (a) Determine the 28th percentile for the number of chocolate chips in a bag. (b) Determine the number of chocolate chips in a bag that make up the middle 97% of bags. (c) What is the interquartile range of the number of chocolate chips in a bag of chocolate
Answer:
Using z score formula:
X = z ∂ + µ
= 157.833
Step-by-step explanation:
Solution:
Mean = µ = 1262
Standard deviation = ∂ = 117
(a) 28th percentile for the number of chocolate chip.
P( z < z) = 28%
= 0.28
P( z<- 0.58) = 0.28
Z = -0.58
By using z score formula:
Z = x - µ /∂
-0.58= x – 117 / 1262
X = (- 0.58)(117) + (1262)
= 1194.14
(b) Middle 97% of bag.
P(-z < z < z) = 97%
= 0.97
P( z < z) – p(z < -z) = 0.97
2p(z < z) -1 = 0.97
2p (z < z) = 1 + 0.97
P(z < z) = 1.97 / 2
= 0.99
P(z < 2.33) = 0.99
Z ± 2.33
By using z score formula:
Z = x - µ / ∂
X = z ∂ + µ
= - 2.33 x 117 + 1262
=989.39
Z = 2.33
X = z ∂ + µ
= 2.33 x 117 + 1262
=1533.61
(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate.
By using standard normal table,
The z dist’n formula:
P(z < z ) = 25%
=0.25
P(z < -0.6745) = 0.25
Z = 0.6745
Using z score formula:
X = z∂ + µ
= - 0.6745 x 117 + 1262
= 1183.0835
First quartile = Q1 =1183.0835
The third quartile is:
P(z<z) = 75%
= 0.75
P(z < 0.6745) = 0.75
Z = 0.6745
Using z score formula:
X = z ∂ + µ
= 0.6745 x 117 + 1262
= 1340.9165
IQR = Q3 – Q1
= 1340.9165 – 1183.0835
= 157.833
M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
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Select all equations that are equivalent to -8x - 6 15. 2 - (Select all that apply.) 4x+3= 15 -4x-3=15 8x+6=30 (-4x - 3) = 15 — − ½ ( 8x + 6) = 15 -
solve the inequality 1 - 2x + - 7
Answer: x = -3 or if not solving for x then -2x -6
Step-by-step explanation:
1 - 2x - 7 = 0
-6 - 2x = 0
add 2x on both sides
-6 = 2x
divide 2 on both sides
-6/2 = x
x = -3
In a right triangular prism, the area of the triangular base is 50 square feet. The height of the prism is 12 feet. What is the volume of the prism?
A.220ft^3
B.600ft^3
C.100ft^3
D.135ft^3
600 ft²
Solution:
Area of triangular prism - -
Formula's:
Area of the base * HeightHere the volume:
50 * 12
600 ft²
Consider the line y = (5/8)x - 4.
Find the equation of the line that is perpendicular to this line and passes through the point (8,4).
Find the equation of the line that is parallel to this line and passes through the point (8,4)..
Considering the definition of parallel and perpendicular line, you get:
the equation of the line that is perpendicular to this line and passes through the point (8,4) is y= -8/5x + 84/5.the equation of the line that is parallel to this line and passes through the point (8,4) is y=5/8 -1.Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Parallel lineParallel lines are two lines that are always at the same distance from each other.
Two lines are parallel if they have the same slope and different y-intercepts.
Perpendicular linePerpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Equation of perpendicular line in this caseThe line is y= 5/8x -4, with a value of slope m of 5/8 and ordinate to the origin b of -4.
If you multiply the slopes of two perpendicular lines, you get –1, the slope perpendicular line can be calculated as:
5/8× slope perpendicular line= -1
slope perpendicular line= (-1)÷ 5/8
slope perpendicular line= -8/5
So, the perpendicular line has a form of: y= -8/5x + b
The line passes through the point (8, 4). Replacing in the expression for perpendicular line:
4= -8/5×8 + b
4= -64/5 + b
4 + 64/5= b
84/5= b
Finally, the equation of perpendicular line is y= -8/5x + 84/5.
Equation of parallel line in this caseIn this case, the line is y= 5/8x -4, with a value of slope m of 5/8 and ordinate to the origin b of -4.
If two lines are parallel if they have the same slope, the parallel line has a slope of 5/8 and has a form of: y= 5/8x + b
The line passes through the point (8, 4). Replacing in the expression for parallel line:
4= 5/8×8 + b
4= 5 + b
4 -5 = b
-1 = b
Finally, the equation of parallel line is y= 5/8x - 1
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If a^1/2=r then which of the following are true statements
For exponential equation a^1/n = r option D is true i.e. r^n=a.
What are exponential equations?
Exponents are used in exponential equations, as the name implies. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied. But what happens if a number is variable? When the power is a variable in an equation, it is referred to as an exponential equation.
For example, 3^x = 81, 5^x - 3 = 625, 62^y - 7 = 121, etc are some examples of exponential equations.
Exponential equations are classified into three categories. These are :
Equations on both sides with the same base. (For instance, 4^x = 4^2)Equations that may be constructed to have the same base. (For example, 4^x = 16 can be represented as 4^x = 4^2.)Equations that cannot be constructed to have the same base. (For instance, 4^x = 15.As given,
a^1/n=r
Now we take 1/n from left side of exponential equation to right side i.e.
a=r^n (As a^1/2 = 4 ---> a=4^2)
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helpppp...........................
Answer:
see explanation
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
a hexagon has 6 sides , then
sum = 180° × (6 - 2) = 180° × 4 = 720°
12
the polygon has 5 sides , so
sum = 180° × (5 - 2) = 180° × 3 = 540°
sum the interior angles and equate to 540
y + 90 + 120 + 90 + 110 = 540
y + 410 = 540 ( subtract 410 from both sides )
y = 130
13
the polygon has 7 sides , so
sum = 180° × (7 - 2) = 180° × 5 = 900°
sum the interior angles and equate to 900
p + 90 + 141 + 130 + 136 + 123 + 140 = 900
p + 760 = 900 ( subtract 760 from both sides )
p = 140
PLEASE FAST
What is the equation of the line containing the paints A and B?
a) y = - 3x + 4
b) y = 1/3x + 4
c) y = 3x + 4
d) y = - 1/3x + 4
The equation of the line containing the paints A and B is y = -1/3x + 4
How to determine the linear equation that represents the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(6, 2) and (0, 4)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 4
Using the other points, we have
6m + 4 = 2
So, we have
6m = -2
Evaluate
m = -1/3
So, we have
y = -1/3x + 4
As an equation, we have
y = -1/3x + 4
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Explain the difference:
4 times the sum of x and y and the sum of 4 x and y
Hello!
4 times the sum of x and y
4 * (x + y)
it's a mutliplication
the sum of 4x and y
= 4x + y
it's a sum
Answer:one is multiplying other is some.
Step-by-step explanation:
4xy and =4xy
these two are
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 90% salt. She wants to obtain 150 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?
The amount of solution A and B required are 60 and 90 ounces respectively.
Creating simultaneous equations for the problem:
Mass of solution A = a
Mass of solution B = b
a + b = 150 _____(1)
0.65a + 0.90b = 150×0.80
0.65a + 0.90b = 120 __(2)
From (1)
a = 150-b ____(3)
substitute (3) into (2)
0.65(150-b) + 0.90b = 120
97.5 - 0.65b + 0.90b = 120
0.25b = 120-97.5
0.25b = 22.5
b = 22.5/0.25
b = 90
a = 150 - b
a = 150 - 90
a = 60
Therefore , 60 ounces of solution A and 90 ounces of solution B is required.
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A function, f(x) = 4x+ 5, has a domain 0 s x 50. What is its range?
Pls help :(
I NEED THIS ASAP whats 1x1.....
Answer:
1
-__-...
0.0
0-0
0_0
Answer:
1
Step-by-step explanation:
Multiply 1 by 1 .
The table represents the number of miles to the nearest airport. Find the median.
# OF MILES: 20, 22, 24, 26
FREQUENCY: 3, 2, 1, 4
The median value in the data set is the average of the two middle values which is: 23.
What is the Median of a Data Set?In an ordered data set, the median is the middle value or average of the two middle values in the data set.
List out each data point in the data set given:
20, 20, 20, 22, 22, 24, 26, 26, 26, 26
The middle values in the data set are, 22 and 24.
Median = (22 + 24)/2
Median = 23
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a coin will be tossed 10 times. Find the chance that there will be exactly 2 heads among the first five tosses and exactly 4 heads among the last 5 tosses
Answer:
The chance that there will be exactly 2 heads among the first five tosses and exactly 4 heads among the last 5 tosses is P=0.0488.
Step-by-step explanation:
To solve this problem we divide the tossing in two: the first 5 tosses and the last 5 tosses.
Both heads and tails have an individual probability p=0.5.
Then, both group of five tosses have the same binomial distribution: n=5, p=0.5.
The probability that k heads are in the sample is:
\(P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{5}{k}\cdot0.5^k\cdot0.5^{5-k}\)
Then, the probability that exactly 2 heads are among the first five tosses can be calculated as:
\(P(x=2)=\dbinom{5}{2}\cdot0.5^{2}\cdot0.5^{3}=10\cdot0.25\cdot0.125=0.3125\\\\\\\)
For the last five tosses, the probability that are exactly 4 heads is:
\(P(x=4)=\dbinom{5}{4}\cdot0.5^{4}\cdot0.5^{1}=5\cdot0.0625\cdot0.5=0.1563\\\\\\\)
Then, the probability that there will be exactly 2 heads among the first five tosses and exactly 4 heads among the last 5 tosses can be calculated multypling the probabilities of these two independent events:
\(P(H_1=2;H_2=4)=P(H_1=2)\cdot P(H_2=4)=0.3125\cdot0.1563=0.0488\)
The standard deviation for a set of data is 9.5. The mean is 205.
What is the margin of error?
If the standard deviation for a set of data is 9.5. The margin of error is: 19.5.
Margin of errorUsing this formula
Margin of error=Standard deviation×Mean
Let plug in the formula
Margin of error=205 × 9.5%
Margin of error = 19.475
Margin of error = 19.5 (Approximately)
Therefore If the standard deviation for a set of data is 9.5. The margin of error is: 19.5.
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An investor wants to save money to purchase real estate. She buys an annuity with yearly payments that earn 5.3% interest compounded annually payments will be made at the end of each year find the total value of the annuity in 16 years if each yearly payment is 693.
The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.
To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:
FV = P * ((1 + r)^n - 1) / r
Where:
FV is the future value of the annuity,
P is the yearly payment,
r is the interest rate per compounding period, and
n is the number of compounding periods.
In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.
Let's substitute these values into the formula and calculate the total value of the annuity:
FV = 693 * ((1 + 0.053)^16 - 1) / 0.053
FV = 693 * (1.053^16 - 1) / 0.053
Using a calculator, we can evaluate the expression inside the parentheses:
1.053^16 ≈ 1.9738
Substituting this value back into the formula:
FV = 693 * (1.9738 - 1) / 0.053
FV = 693 * 0.9738 / 0.053
FV ≈ 12739.62
Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.
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