Answer:
71 & 25 m
Step-by-step explanation:
a • b = 1775
2a + 2b = 192
substitution:
a = 1775/b
2(1775/b) + 2b = 192
distribute the 2
(3550/b) + 2b = 192
subtract 192 from both sides
(3550/b) + 2b - 192 = 0
transform the expression by dividing all terms by b
(3550 + 2b² - 192b) / b = 0
when the quotient of expressions equals 0, the numerator has to be 0
3550 + 2b² - 192b = 0
reorder the terms
2b² - 192 b + 3550 = 0
divide by sides by 2
b² - 96b + 1775 = 0
rewrite -96b as a difference using factoring X
b² - 25b - 71b + 1775 = 0
factor the expression (factor out b)
b (b-25) - 71b + 1775
factor out b - 25 from the expression
(b - 25) (b - 71) = 0
if b = 25 or 71, then a = 71 or 25
71 & 25 m
The temperature falls from 0 degrees to -12 degrees in 3 hours. Which expression finds the change in
temperature per hour?
7 49
24
49.7
49 7
Answer:
Step-by-step explanation:
The change in temperature over the three hours is -12 - 0 = -12 degrees. To find the change in temperature per hour, divide the total change by the number of hours:
-12 / 3 = -4 degrees per hour
So, the change in temperature per hour is -4 degrees. The answer is -4.
Hi I will give the brainliest to whoever answers my question what is the range(spread) in the student enrollment
Answer:
i think a year or less like 6 months
Step-by-step explanation:
what has the same value as -8+(-9)
Answer: -17
Step-by-step explanation:
-8+-9=-17
(っ◔◡◔)っ ♥ Answer:
⁎ -17
Explanation:
-8 + ( -9 )
Parenthesis Multiplies the Negative ( - ) and Positive ( + ) which Is Negative ( - ). The the equation would be re-written as : -8 - 9. Staring for -8 you going back (Because of subtraction) 9 times and you get -17 :D
A word from me:
- Please mark me brainiest, trying to achieve the next rank!
- Hope you have a wonderful & great day! ♥ ヾ(•ω•`)o
Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. How
many minutes did it take for her to travel 1 mile? *
Answer: 4
Step-by-step explanation:
For this question, we have to divide the number 8 by 2.
8 ÷ 2 = 4
Now, we have to take the quotient, 4, and multiply it by 1.
1 x 4 = 4
The answer is 4.
The volume of a cuboid is 176cm3.
The length is 11cm and the width is 20mm.
Work out the height of the cuboid in cm.
The height of the cuboid is 8 cm.
What is Volume?
Volume is a measure of the amount of space occupied by a three-dimensional object or substance. It is expressed in cubic units such as cubic meters (m³) or cubic centimeters (cm³).
We first need to convert the width to cm since the length and height are given in cm:
20 mm = 2 cm (since 1 cm = 10 mm)
The formula for the volume of a cuboid is V = lwh, where l is the length, w is the width, and h is the height. We can solve for h by rearranging the formula:
h = V / lw
Substituting the given values, we get:
h = 176 / (11 x 2)
h = 8
Therefore, the height of the cuboid is 8 cm.
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Need help with this!
The output of the function call doWork(30) is given as follows:
9.
How to obtain the output of the function?The input of the function is given as follows:
n = 30.
Hence we apply the recursion as follows:
doWork(30) -> return 1 + doWork(15).doWork(15) -> return 1 + doWork(7) -> integer part of the division is 7.doWork(7) -> return 7 -> less than 10.Now we apply the inverse procedure, as follows:
doWork(15) -> return 1 + 7 = 8.doWork(30) -> return 1 + 8 = 9.More can be learned about recursive functions at https://brainly.com/question/30645557
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What is the approximate circumference of the circle shown below
Answer: A) 46.5 cm
Step-by-step explanation:
Circumference = 2 π r or Circumference = π d
In this case, they give us the diameter = 14.8 cm. Therefore the radius = 14.8/2 = 7.4 cm.
π ≈ 3.14.
We can use either equation above, but because the diameter was given, we will use c = πd for simplicity.
C = π d
= (3.14)(14.8)
= 46.47 cm, which rounds to 46.5 cm
find an equation of the plane passing through that is orthogonal to the planes xyz and xyz.
The equation of the plane passing P(1,2,1) and is orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0 is 3x + 2y + z = 8.
We need a point b and a vector v along the line in order to characterize it. We might alternatively begin with the two points a and b and use the formula v = ab.
A point Q and a vector n perpendicular to the plane are required in order to describe a plane. Later on, we'll look at how to get n from various types of information, such as the positions of three points on a plane.
A plane is a flat, endlessly long, two-dimensional surface. A plane is a point with zero dimensions, a line with one dimension, and space with three dimensions in two dimensions. The picture below that is attached shows the answer.
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Question correction:
Find the equation of the plane passing P(1,2,1) and is orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0
Jenny and Kenny are walking in the same direction, Kenny at 3 feet per second and Jenny at 1 foot per second, on parallel paths that are 200 feet apart. A tall circular building 100 feet in diameter is centered midway between the paths. At the instant when the building first blocks the line of sight between Jenny and Kenny, they are 200 feet apart. Let T be the amount of time, in seconds, before Jenny and Kenny can see each other again. If T is written as a fraction in lowest terms, what is the sum of the numerator and denominator?
According to the question The sum of the numerator and denominator is 201.
To solve this problem, let's consider the situation at the instant when the building first blocks the line of sight between Jenny and Kenny. We can start by visualizing the scenario.
We have two parallel paths that are 200 feet apart, with Kenny walking at 3 feet per second and Jenny walking at 1 foot per second. The circular building is 100 feet in diameter and is centered midway between the paths.
Let's represent the initial positions of Jenny and Kenny as J and K, respectively, and the center of the circular building as B. The distance between J and B, and between K and B, is 100 feet each.
The distance Kenny travels in time T is given by 3T, and the distance Jenny travels in time T is given by T.
Now, let's consider the configuration of the paths and the circular building at this moment. We have a right triangle formed by the line connecting J and K, the distance between J and B (100 feet), and the distance between K and B (100 feet).
Since the triangle formed by J, K, and B is a right triangle, we can apply the Pythagorean theorem:
\((3T)^2 + T^2 = 200^2\)
Simplifying the equation:
\(9T^2 + T^2 = 40000\)
\(10T^2 = 40000\)
Dividing both sides by 10:
\(T^2 = 4000\)
Taking the square root of both sides:
\(\( T = \sqrt{4000} \\\\= 20\sqrt{10} \)\)
Therefore, the amount of time before Jenny and Kenny can see each other again is \(\( 20\sqrt{10} \)\) seconds.
To express T as a fraction in lowest terms, we can rationalize the denominator:
\(\[ T = 20\sqrt{10} \cdot \left(\frac{\sqrt{10}}{\sqrt{10}}\right) \]\)
\(\[ T = 20\sqrt{\frac{10 \cdot 10}{10}} \]\)
\(\[ T = 20 \cdot \sqrt{10} \]\)
\(\[ T = 20 \cdot 10 \]\)
\(\[ T = 200 \]\)
So, T can be written as the fraction \(200/1.\)
The sum of the numerator and denominator is \(200 + 1 = 201.\)
Therefore, the sum of the numerator and denominator is \(201.\)
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how many ways can 3 boys and 4 girls sit in a row such that no two people of the same sex sit together? solve using combinatorics
Answer: We can solve this problem using the technique of combinatorics known as the "Stars and Bars" method.
We can think of the 3 boys and 4 girls as 7 distinguishable objects and 3 "bars" that separate them. We are trying to find the number of ways to place the 3 bars among the 7 objects.
For example, if the 3 bars are represented by the symbols |, |, |
BB|G|GBG|G|GBG
The leftmost and rightmost spaces always contain a boy or a girl, so there are a total of 9 spaces to put the 3 bars.
This means that there are C(9,3) = 84 ways to place the 3 bars among the 7 people.
So, there are 84 ways in which 3 boys and 4 girls can sit in a row such that no two people of the same sex sit together.
Step-by-step explanation:
identify the surface whose equation is given. rho2(sin2(φ) sin2(θ) + cos2(φ)) = 81
The equation involves both sin²(φ) and cos²(φ), as well as sin²(θ), which indicates that the surface has a more complex shape, possibly involving rotational symmetry.
To identify the surface whose equation is given as ρ²(sin²(φ) sin²(θ) + cos²(φ)) = 81, we can follow these steps:
Rewrite the equation
We have the equation: ρ²(sin²(φ) sin²(θ) + cos²(φ)) = 81
Isolate ρ²
We can rewrite the equation as: ρ² = 81 / (sin²(φ) sin²(θ) + cos²(φ))
Find ρ
Take the square root of both sides to find ρ: ρ = √(81 / (sin²(φ) sin²(θ) + cos²(φ)))
The given equation represents a surface in spherical coordinates (ρ, φ, θ). Since ρ (the radial distance) is expressed in terms of φ and θ, the surface is not a simple sphere or ellipsoid. The equation involves both sin²(φ) and cos²(φ), as well as sin²(θ), which indicates that the surface has a more complex shape, possibly involving rotational symmetry.
However, without further information, it's difficult to provide a specific name for this type of surface.
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You have made 160 duct tape wallets to sell. If you sell 3 each day, write a function that represents this situation.
A function that represents this situation of selling 3 duct tape wallet per day out of of 160 duct tapes wallets produced is
y = 160 - 3xHow to write the expression of the situationInformation from the problem
You have made 160 duct tape wallets to sell
If you sell 3 each day
From the information we can deduce that
assuming amount left is y and the number of days x the we have
y = 160 - 3x
Therefore we can say that the expression to represent the situation of selling 3 duct tape wallet per day is y = 160 - 3x
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please answer this in steps....
This is also a value of π (pi)
A mouse has made holes in opposite corners of a rectangular kitchen. Starting from its hole
in the northwest corner, the mouse scurries 20 feet along the length of the kitchen to reach a
piece of cheese in the southwest corner. Then the mouse scurries 15 feet along the width of
the kitchen to its other hole in the southeast corner. Finally the mouse scurries back to the
first hole. What is the total distance the mouse scurries?
Answer:
60 ft
Step-by-step explanation:
a² + b² = c²
20² + 15² = c²
c = √625
c = 25
total distance = 20 ft + 15 ft + 25 ft = 60 ft
Determine the equation of a circle graphed below
The equation of the circle is \((x-h)^{2} +(y-k)^{2} =r^{2}\)
(h,k) center of the circle --> (-6, 6)r is the radius --> \(\sqrt{(-5--6)^2 + (9-6)^2} = \sqrt{1 +9} =\sqrt{10}\)Thus the equation of the circle is:
\((x+6)^{2} +(y-6)^2=10\)
Hope that helps!
2) help it a normal cube with 3 everywhere Why is volume calculated in units cubed? Figure I
Volume is the amount of space an object takes up, and is calculated by multiplying the object's length, width, and height together
Volume is calculated in units cubed because it is a measure of how much three-dimensional space an object occupies.
Volume = Length×Width×Height
=3×3×3
=27 cubic units
Volume is the amount of space an object takes up, and is calculated by multiplying the object's length, width, and height together.
This is why it is usually represented in units cubed.
Hence, Volume is the amount of space an object takes up, and is calculated by multiplying the object's length, width, and height together
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Suppose a rectangular patio has an area of 24 *
ft? and its width is 5 less than its length. What
is its length, width, and perimeter? (Check 3
boxes)
Answer:
Step-by-step explanation:
width= length-5
area= length*width
area= length * (length-5)
area= l*(l-5)
area =\(l^{2}\) -5l
\(l^{2}\)-5l= 24
\(l^{2}\)-5l-24=0
FACTORISE
(l+3)(l-8)
l= -3 or +8
Length is positive therefore, l= 8
width = l-5
width = 8-5=3
width = 3
perimeter = 2(l+b)
perimeter = 2(8+3)
perimeter = 22
what is the opposite of 7 plus the opposite of 9
Answer:
-7.11111111111
Step-by-step explanation:
A bird is flying directly above a tree. You are standing 84 feet away from the base of the tree. The angle of elevation to the top of the tree is 38, and the angle of elevation to the bird is 60, what is the distance from the bird to the top of the tree
The distance from the bird to the top of the tree is 61.95 feet.
We have,
Angle of elevation to the top of the tree: 38 degrees.
Angle of elevation to the bird: 60 degrees.
Distance from the base of the tree to your position: 84 feet.
Let the distance from the bird to the top of the tree as 'x'.
Using Trigonometry
tan(38) = height of the tree / 84
height of the tree = tan(38) x 84
and, tan(60) = height of the tree / x
x = height of the tree / tan(60)
Substituting the value of the height of the tree we obtained earlier:
x = (tan(38) x 84) / tan(60)
x ≈ 61.95 feet
Therefore, the distance from the bird to the top of the tree is 61.95 feet.
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What is the circumference of a circle with the radius of 7 inches?
Answer:
Circumference is 43.98 inches
Step-by-step explanation:
Circumference = 2πr
= 2×3.14 ×7
= 43.98
The perimeter of a plot of land is 122m. The width is 9m shorter than the length. Find the dimensions the field.
The dimensions of the plot of land are 35m in length and 26m in width.
We can arrive at the answer by the simple process of applying simultaneous equations for two variables.
We know that the perimeter of a rectangular plot (shape evident from given parameters) is as follows.
P = 2*(l+b)
From this, we obtain our first equation.
122 = 2*(l+b)
l+b = 61 -----> (1)
The second equation can be obtained from the second statement.
b = l - 9
l-b = 9 -----> (2)
We have two equations for obtaining the values of two variables.
Adding the equation on both sides, we get:
(l+b) + (l-b) = 61+9
2l = 70
l = 35m
b = 61-l = 26 or l-9 = 26
Thus, the dimensions of the field are 35 * 26 (m)
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ANSWER FOR BRAINLIEST
Identify the graph for the point C(−2, −1, 2) in three-dimensional space.
Answer:
the topmost one maybe?
Step-by-step explanation:
I'm guessing since X & Y are negative, (it's written X,Y,Z, right?)
The point would be reducing on the X&Y axes, an since Z is positive, it would increase on the Z axis
The point C( -2,-1, 2) is represented by option 4 in the three dimensional space
What does the coordinates of a point mean in a three dimensional space?Let (x, y , z) be any point in the three dimension then x represents x-coordinate, y represent y-coordinate and z represent z- coordinate
The point C( -2, -1. 2) represent point with x = -2 , y = -1 and z = 2
(-2,-1) is point with x= -2 and y = -1 represent is marked in the the x y plane in fourth quadrant and z =2 means that this (-2,-1 ) is taken 2 units up in the perpendicular direction of positive z- axis as shown in the attached figure.
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A researcher describes the characteristics of three groups of subjects in a study. What statistics should the researcher use to analyze this demographic data
These statistical measures help the researcher summarize, describe, and understand the data collected from the study participants.
As the researcher is describing the characteristics of the subjects, the appropriate statistical analysis would be descriptive statistics.
Descriptive statistics is a method that summarizes and describes the data collected in a study. It includes measures such as mean, median, mode, standard deviation, range, and frequency distribution.
These measures can provide a clear picture of the demographic data of the three groups of subjects and help in drawing meaningful conclusions.
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If 16,000 divided by n=4
Answer: If you're asking for the answer if 16,000 divided by 4, it would be 4000, don't know for sure if that's what you were asking for! Hope I helped!
2√10c (4√30 + 3√/2c³)
Answer:
80√3c+12√5c⁴
Step-by-step explanation:
You gave 2√10c (4√30 + 3√2c³) so...
1.) Distribute
You will then get 8√300c+6√20c⁴
2.) Simplify the radical expression and you will get
8x10√3c+6x2√5c⁴
3.) Calculate
80√3c+12√5c⁴
And that is your answer
Answer:
80√3c+12√5c⁴
Step-by-step explanation:
2√10c (4√30 + 3√2c³) so first things first:
1.) Distribute
You will then get 8√300c+6√20c⁴
2.) Simplify the radical expression and you will get
8x10√3c+6x2√5c⁴
3.) Calculate
80√3c+12√5c⁴
PLEASE HELP NEED ANSWRER QUICK
Answer:
A is the answer
Step-by-step explanation:
Incressing on the means model is going up unit is at a steady pace.
Write the y-intercept of the graph of 8x − 4y = 2?
Answer:
b= -1/2
Step-by-step explanation:
-2/4 is simplified to -1/2 as the y-intercept
y= -4x - 1/2
The end of a dog's leash is attached to the top of a 5-foot-tall fence post, as shown in the diagram below. The dog is 7 feet away from the base of the fence post. What is the measure of the leash
Answer:
10 feet long
Step-by-step explanation:
im good with that triangle theroy
Answer:
Step-by-step explanation:
Suppose you inherited a house that was purchased in 1950 for $20,000. it is now 2015 and the value has increased by approximately 5% each year (compound annually). what is the house worth now
The house is worth approximately $168,117.09 now. It has increased in value due to an annual compound growth rate of 5% since 1950.
The house is worth approximately $168,117.09 now. The value of the house has increased over time due to an annual compound growth rate of 5%.
To calculate the current value of the house, we can use the formula for compound interest:
\(A = P(1 + r/n)^(^n^*^t^)\)
A = Final amount (current value of the house)
P = Initial amount (purchase price of the house)
r = Annual interest rate (5%)
n = Number of times interest is compounded per year (assuming once per year)
t = Number of years (2015 - 1950 = 65)
Substituting the values into the formula, we get:
\(A = $20,000(1 + 0.05/1)^(^1^*^6^5^)\)
A ≈ $168,117.09
Therefore, the house is worth approximately $168,117.09 now.
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11) A bag contains five yellow jerseys
numbered one to five. The bag also
contains three purple jerseys numbered
one to three. You randomly pick a jersey.
It is purple or has an odd number.
The probability that the It is purple or has an odd number is 1.045.
According to the statement
We have to find that the probability of the given condition.
So, For this purpose, we know that the
Probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
From the given information:
five yellow jerseys numbered one to five and three purple jerseys numbered one to three.
The probability that the It is purple or has an odd number.
Then
Probability = 3/8 + 2/3
Probability = 0.375 + 0.67
Probability = 1.045.
So, The probability that the It is purple or has an odd number is 1.045.
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