2t° = 18° because they are alternate angles ==> t = 9
4r = 18 because it is a parallelogram ==> r = 18/4 = 4.5 ==> r = 4.5
8s = 7s + 3 because the diagonals on a parallelogram bisect each other
solving for s:
8s - 7s = 3
s = 3
Answer:
t = 9
r = 4.5
s = 3
A student says that the function shown by the table below can be represented by the rule y=x2-1. Describe and correct the error
Answer:
csd zxsd
Step-by-step explanation:
A number cube labeled one though six is rolled and a letter is selected from the word MUSIC. Find each probability.
P(2 and S)
a. 1/6
b. 1/5
c. 1/30
d. 1/11
HELP
Answer:
1/30
Step-by-step explanation:
Determine the greatest common factor of the given expressions.
75m^4p^6(-m + n)
65m^4 n^5(-m + n)^5
Answer:
75m^4 p^6
Step-by-step explanation:
Tanya is training a turtle for a turtle race. For every 5/6of an hour that the turtle is crawling, he can travel 3/20 of a mile. At what rate is the turtle crawling in miles per hour?
Answer:
The rate at which the turtle is crawling can be found by dividing the distance traveled in miles by the time in hours.
So, the turtle can travel 3/20 of a mile in 5/6 of an hour, which means that the turtle is crawling at a rate of (3/20) / (5/6) miles per hour.
To simplify, we need to convert both the numerator and denominator to a common unit. If we multiply the numerator and denominator by 6, we get:
(3/20) * 6 / (5/6) * 6 = 3 / 5 miles per hour.
Therefore, the turtle is crawling at a rate of 3/5 miles per hour.
PLZ HELP ASAP I NEED PLZZZ!!!!!!
Fill in the blank with the correct response. The slope of the graph of y = -2/3x is __.
Answer:
Solution given:
Equation of line is:
y=-⅔x
comparing above equation with
y=mx+c
we get
m=-⅔
So
slope is -⅔Answer:
slope is -2/3
Step-by-step explanation:
I. It's linear equation
y = mx + b
when y is output, x is input, m is slope and b is addition.
The statment above is y = -2/3x + 0
So -2/3 is slope or m.value
Hope that help :D
What is 3 and 4/5÷2/5 in the simplest form
Answer:
The answer is 19/2.
Step-by-step explanation:
Alternatives are 9 1/2 and 9.5.
Brainliest? Thanks!
Answer:
3 and 2/5
Step-by-step explanation:
because when it says divide it means take away and the denominator is the same so it stays the same
Carlos has 47 boxes that each have 10 markers. He gives 36 markers away.
How many markers does Carlos have left?
A. 93
B. 110
C. 434
D. 446
E. 506
Every 2 centimeters on a floor plan represents
meters of the house. The dining room is 8 cm by
10 cm on the floor plan, and the bedroom is 6cm by10cm on the floor plan. If installing tile costs $34
per square meter and installing carpet costs $21 per
square meter, how much would it cost to install tile
in the dining room and install carpet in the bedroom?
Show your work.
Given statement solution is :- It would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.
Given:
Every 2 centimeters on the floor plan represents 1 meter of the house.
Dining Room:
On the floor plan, the dining room is 8 cm by 10 cm.
Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.
The area of the dining room is 4 meters * 5 meters = 20 square meters.
Bedroom:
On the floor plan, the bedroom is 6 cm by 10 cm.
Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.
The area of the bedroom is 3 meters * 5 meters = 15 square meters.
Now, let's calculate the costs.
Cost of Tile:
The cost of installing tile is $34 per square meter.
The area of the dining room is 20 square meters.
Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.
Cost of Carpet:
The cost of installing carpet is $21 per square meter.
The area of the bedroom is 15 square meters.
Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.
Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
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If you have two quarters, five dimes, and three pennies how much money do you have?
Answer:
2 quartes is equal to 50 cent, 5 dimes is equal to 50 cent, and 3 pennies is equal to 3 cents.
50 + 50 + 3 = 103
$1.03
Step-by-step explanation:
Hope it helps! =D
Answer:
1 dollar and 3 cents.
2 cents=0.5 dollars
5 dimes=0.5 dollars
3 pennies=0.03 dollars
$1.03
what does new thousand mean?
We see here that new thousand is actually liken to be the result in thousand that is gotten after carrying out an operation.
What is a thousand?A thousand is a number that denotes the sum of 1,000 units or ten hundreds.
The word "thousand" is frequently used in daily speech to denote a significant but limited amount, such as a thousand money, a thousand individuals, or a thousand pages. Alternatively, it can be used as a round number to denote an approximation, as in "a thousand times" or "a thousand and one nights."
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If the zeros of a quadratic functions are -2 and 4, which graph could represent the function? A. A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10). B. A parabola declines from (negative 5 point 8, 10), (negative 5, 7), (negative 4, 0), (negative 8, negative 2), (negative 1, negative 8 point 4) and rises through (2, 0), (3, negative 6) and (3 point 9, 10). C. A downward open parabola rises from (negative 6 point 2, negative 10), (negative 5 point 2, negative 6), (negative 4, 0), (negative 3, 1) and declines through (negative 1 point 4, negative 2), (1, negative 4), (0, negative 8), and (0 point 5, 10). D. A downward open parabola rises from (negative 0 point 5, negative 10), (0, negative 8), (1, negative 4), (2, 0), (3, 1), and declines through (5, negative 4), (6, negative 8), and (6 point 5, negative 10) on the x y coordinate plane.
Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).
How to determine the graphThe zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.
Looking at the provided options:
A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.
B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.
C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.
D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.
So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.
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Evaluate (99)3 using suitable identities
Answer:
297Step-by-step explanation:
(99)3 =
(99) x 3 =
(90 + 9) x 3 =
(90) x 3 + (9) x 3 =
90 x 3 + 9 x 3 =
270 + 27 =
297
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
Correction:Evaluate (99)^3 using suitable identities.
Solution:(99)^3 = (100 - 1)^3
since, (a - b)^2 = a^3 - b^3 - 3ab (a-b)
Where,
a = 100 andb = 1Now,
(99)^3
=> (100)^3 - (1)^3 - 3(100)(1)(100 - 1)
=> 1000000 - 1 - 3(100)(100 - 1)
=> 1000000 - 1 - 300 (99)
=> 1000000 - 1 - 29700
=> 970299 Ans.
The radius of a circle is 4 miles. What is the length of a 45° arc?
45°
r=4 mi
The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.
To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.
Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π
The length of the 45° arc is approximately 3.14 miles.
Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.
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What type of distribution is pictured in this histogram?
Responses
Bimodal
Normal
Skewed
The type of distribution pictured in this histogram is skewed.
What is a skewed distribution?
A skewed distribution is a statistical distribution that is not symmetrical around its mean or median.
In a skewed distribution, the tail of the distribution is pulled in one direction or the other, resulting in a longer tail on one side than the other.
There are two types of skewed distributions: positively skewed and negatively skewed.
The distribution in the image is positively skewed as its is pulled towards the left.
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(8,3) (5,6) what is slope??
Answer:
-1
Step-by-step explanation:
For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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what is angle JLK?
a. 23 degrees
b. 24 degrees
c. 67 degrees
d. 134 degrees
Answer:
Answer is c, 67.
Step-by-step explanation:
So angle L and K are going to be the same, and so its going to be:
46+2n=180, since 180* inside a triangle and n= both L and K.
180-46=134
134/2=67
Both K and L will be 67.
Answer is c, 67.
To check, 46+67+67=180
The measure of angle JLK is 67 degree.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
The angle L and K are going to be the same;
46+2n=180,
Since 180 inside a triangle and n= both L and K.
180-46=134
134/2=67
Both K and L will be 67.
The answer is c, 67.
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Halla el MCM de 63 y 77
Respuesta:
693
Explicación:
Tenemos que dividir ambos dígitos hasta que lleguen a 1.
No importa si uno de los números no se puede dividir, pero se debe iniciar desde los números más bajos: 2, 3, 4, 5, 7...
Cómo no hay una mitad exacta, empezaremos con tercia y continuaremos dividiendo.
63 ; 77 | 3
21 ; 77 | 3
7 : 77 | 7
1 ; 11 | 11
1 ; 1
Ahora que llegamos hasta 1, el MCM es la multiplicación de los números por los que hemos dividido a los dígitos. Solo falta multiplicarlos.
3*3*7*11= 693
MCM = 693
Espero te ayude ;)
【Answer.】the lowest common multiple of 77 and 63 is 693.
\(\orange{{\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedure}}{\hspace{50pt}\above 1.2pt} }\)
To obtain the lcm (least common multiple) we must do it by simultaneous decomposition.
This method consists of extracting the common and uncommon prime factors, then
\(\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{63 \ \ \ 77}\\ 21 \ \ \ 77\\ \ \ 7 \ \ \ 77\\ \ 1 \ \ \ 11\\ \ 1 \ \ \ 1 \end{matrix}\right|\begin{matrix} 3\\ 3\\ 7\\ 11\\ \: \end{matrix} \end{gathered}$}\)
\(\sf{m.c.m.(63,77)=3\times3\times7\times11}\)
\(\sf{m.c.m.(63,77)=3^{2} \times7\times11}\)
\(\boxed{\boxed{\sf{m.c.m.(63,77)=693}}}\)
Q:
To which axis is the line passing through A(4,3) and B(4,-2) parallel to?
Answer:
y-axis.
Step-by-step explanation:
The x coordinate of both points is 4, so it is parallel to they-axis.
Snail A moved 6 feet in 7 hours. Snail B moved 7 feet in 8 hours. Both snails moved at constant speeds. Which snail went faster?
Answer:
since .875 > .857 Snail B is moving faster
Step-by-step explanation:
divide 6 by 7 to get the number of feet in one hour for Snail A
7 into 6 is .857
divide 7 by 8 to get the number of feet in one hour for Snail B
8 into 7 is .875
I believe the answer to this is:
Snail B went faster than Snail A.
Hope this helps! :D
8. Consider the D.E. yy'= -x +
1/2
a. Find the implicit general solution of this
equation. What is the condition that c
should satisfied? (c is the constant that
appears in the solution).
b. (T) is the family of curves of the
general solution in an orthonormal
system. What is the nature of this graph?
(such curves are called integral curves of
the D.E.)
c. Find the graph (T) that passes through
the origin O(0, 0).
The implicit general solution is 0.5y² = -0.5x² + 0.5x + C, here C should pass through the origin of the circle. The family of curves (T) represents the integral curve. The graph (T) is represented below.
a. To find the implicit general solution of the given differential equation, we can integrate both sides with respect to x. Let's start by rewriting the equation:
yy' = -x + 1/2
Integrating both sides:
∫ yy' dx = ∫ (-x + 1/2) dx
Using integration by parts on the left side, let u = y and dv = y' dx:
\(\int u dv = uv - \int v du\\\\y\int dy = \int (-x + 1/2) dx\\\\1/2 y^2 = -1/2 x^2 + 1/2 x + C\\\\0.5y^2 = -0.5x^2+0.5x+C\)
Where C is the constant of integration. This is the implicit general solution of the given differential equation.
b. The family of curves (T) that represents the general solution in an orthonormal system is known as the integral curves of the differential equation.
c. To find the graph (T) that passes through the origin O(0, 0), we substitute the point (x, y) = (0, 0) into the implicit general solution and solve for C:
\(1/2(0)^2 = -1/2(0)^2 + 1/2(0) + C\\\\0 = 0 + 0 + C\\\\\C = 0\)
So the graph (T) that passes through the origin is given by:
\(1/2 y^2 = -1/2 x^2 + 1/2 x\)
This equation represents the specific curve that satisfies both the differential equation and the condition of passing through the origin.
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Use the function below to find each value:
f(x)= 4x-2 if x≤-1
1/2x+9 if x>1
f(-4)=
f(-2)=
f(6)=
f(-1)=
Value of the function given below is f(-4)= -18 , f(-2)= -10 , f(6)= 12 , f(-1)= -6
What is a function?
An algebraic function in mathematics is a function that may be described as the solution to a polynomial problem. Algebraic expressions with a finite number of terms and solely the algebraic operations addition, subtraction, multiplication, division, and raising to a fractional power make up algebraic functions rather frequently.
In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.
f(-4) means x =-4 which is less than -1
so the 4x-2 expression will be used
f(-4)= 4(-4)-2
f(-4)= -18
f(-2) means x =-2 which is less than -1
so the 4x-2 expression will be used
f(-2)= 4(-2)-2
f(-2)= -10
f(6) means x =6 which is greater than -1
so the x/2 +9 expression will be used
f(6)= 6/2 +9
f(6)= 12
f(-1) means x =-1
so the 4x-2 expression will be used for x = -1
f(-1)= 4(-1)-2
f(-1)= -6
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Can someone please help me on this work I really need help I will but you brainly
Answer:
-3 1/4 is the answer for this question
On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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Help
Complete the puzzle so that each row, column, and diagonal adds up to the same total.
Complete the puzzles with values -4, 0, -3 and 2
How to complete the puzzle?Since each row, column, and diagonal adds up to the same total.
For the 1st row, the total is:
3 + (-2) + (-1) = 0
That means each row, column, and diagonal will always adds up to 0.
3 + w + 1 = 0
w = -3-1
w = -4
w + y + 4 = 0
-4 + y + 4 = 0
y = 0
-1 + 4 + t = 0
3 + t = 0
t = -3
1 + h + t = 0
1 + h + (-3) = 0
h -2 = 0
h = 2
(Check the attached image for labeling)
Thus, complete the puzzle with the values accordingly
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you want to reach $3,000 in savings over four years your account will earn 10% interest per year how much must you save each month
You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.
To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate, we can use the PMT (Payment) function.
The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.
Let's break down the given information:
Present Value (PV): $0.00 (initial account balance)
Future Value (FV): $3,000.00 (savings goal)
Interest Rate (rate): 10% per year (annual interest rate)
Number of Periods (nper): 4 years (48 months)
Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).
The formula for the PMT function is:
PMT(rate, nper, pv, [fv], [type])
Where:
rate = Interest rate per period
nper = Total number of periods
pv = Present value (initial account balance)
fv = Future value (savings goal)
type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.
We'll assume 0 for monthly savings.
Let's calculate the monthly savings using the PMT function:
PMT(10%/12, 4*12, 0, -3000, 0)
Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).
Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.
Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.
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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.
Anyone can help me ?? Pleaseeee
C
that's the answer
enjoy
\(\boxed{\underline{\bf \: ANSWER}}\)⇨
\( \sf \frac{x}{27} = \frac{4}{9} \\ \)
Use the cross-multiplication method. Then,..
\( \sf \frac{x}{27} = \frac{4}{9} \\ \sf 4 \times 27 = 9x \\ \sf 108 = 9x \\ \sf 108 \div 9 = x \\ \boxed{ \bf \: 12 = x}\)
So, the correct value of x is 12 (option C.)
_____
Hope it helps.
Diven {x) = 3x- 1 and 9(x) = 2x-3, for which value of x does g(X) = {2)?
The calculated value of x at g(x) = 2 is x = 2.5
How to determine the value of x at g(x) = 2from the question, we have the following parameters that can be used in our computation:
f(x) = 3x - 1
Also, we have
g(x) = 2x - 3
When g(x) - 2, we have
2x - 3 = 2
So, we have
2x = 5
Divide by 2
x = 2.5
Hence, the value of x at g(x) = 2 is x = 2.5
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I Need the answer in 2 minutes
Answer: \(\frac{1}{1024}\)
Step-by-step explanation:
\(4^{-3} = (2^{2} )^{-3} = 2^{-6}\)
\(\frac{2^{-6} }{2^{4} } = 2^{-6-4} = 2^{-10} = \frac{1}{2^{10} } = \frac{1}{1024}\)
\(\huge\text{Hey there!}\)
\(\mathsf{\dfrac{4^{-3}}{2^4}}\)
\(\mathsf{= \dfrac{\dfrac{1}{64}}{2\times2\times2\times2}}\)
\(\mathsf{= \dfrac{\dfrac{1}{64}}{4\times4}}\)
\(\mathsf{= \dfrac{\dfrac{1}{64}}{16}}\)
\(\mathsf{= \dfrac{1}{1,024}}\)
\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{1}{1,024}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
Can some one help me plz I really need help