Answer:
False
Reasoning:
- It's an acute angle, 140 is obtuse
- Angles 6 and 8 are 140 degrees, so 5 can't be
Answer:
False
Step-by-step explanation:
∠ 8=140° (alt. ext.∠)
∠5=180-140 (∠ on a str. line)
=40
≠140
solve this system of equations 2x+4y=-48
Answer:
x=-24-2y
y=-12-x/2
Step-by-step explanation:
To solve for x move everything to one side, 2x=-48-4y, then you can divide by 2 to just get x, x=-24-2y.
To solve for y move everything to one side, 4y=-48-2x, then you can divide by 4 to just get y, y=-12-x/2.
HELLPP
Find the slope of the line?
Answer:
-1/7
Step-by-step explanation:
If you count up once, for the y-value, then count over 7 times for the x-value, you get 1/7, rise over run.
Then, if you see the slope going backwards, you can see it is negative. Therefor, we get -1/7 for the slope.
Given the following function, find h(-4)
h(x) = 8x2 – 5
h(-4) =
Step-by-step explanation:
put the value of x in the given function...
Answer:
h(-4) = 123
Step-by-step explanation:
h(x) = 8x² – 5
h(-4) = 8(-4)² - 5
h(-4) = 8(16) - 5
h(-4) = 128 - 5
h(-4) = 123
is the earth flat because i was watching YouTub.e and someone told me it was
Answer:
The Earth is flat when displayed on a map. The world is also a sphere when displayed on a globe. If you look at a picture of Earth from space it is a sphere. It kinda depends who you ask. My classmate have been debating that since 6th grade and we are in 9th now XD.
Which graph represents the function f(x) = 2x-1 +2
Answer: Graph A
Step-by-step explanation:
Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.
Write a function for the sinusoid (the curve).
У
(2,5)
14
(1, -1)
3
1
Choose...
3 cos x + 2
The function is f(x) = 3 sin x
3 sin x
3 cos x
2 X
The equation of the sinusoid function is:
3 Sin πx + 2.
Let's analyze the given options to find the correct equation:
a. 3 Cos πx + 2:
This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.
b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.
c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:
To determine if the period is correct, we need to calculate the x-values when the function repeats itself.
In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.
sin(πx) = 0 when πx = 0, π, 2π, 3π, ...
Solving for x, we have:
πx = 0 ⟹ x = 0
πx = π ⟹ x = 1
πx = 2π ⟹ x = 2
πx = 3π ⟹ x = 3
From this, we can see that the function repeats itself every integer value of x, which matches the given information.
Therefore, option (c) is the correct equation: 3 Sin πx + 2.
Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.
Hence, the equation of the sinusoid function is:
3 Sin πx + 2.
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Help please! Which of the following tables represents a relation that is a function? Explained answer please
A
B
C
D
Answer:
Step-by-step explanation:
THE ANSWER TO YOUR QUESTION IS C.
3 mi 1,622 yd − 3 mi 1,038 yd =
mi
yd
Answer: 584 yds
Step-by-step explanation:
3mi-3mi=0
1622-1038=584yds
example of a negative linear equation
An example of a negative linear equation is y = -2x + 6.
A negative linear equation is an equation of the form ax + b = 0, where a and b are constants and a is a negative number.
A negative linear equation would be written as:
y = -2x + 6
This equation shows a linear relationship between y and x in the form of a straight line. The slope of the line is negative which can be seen by the "-2" coefficient of the x term. The y-intercept of the line is 6, which is found by setting x=0 and solving for y. This means that the line crosses the y-axis at y=6.
Therefore, an example of a negative linear equation is y = -2x + 6.
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At the beginning of this year, you went out and purchased $300 worth of gold coins. Every 3 months for the next 8 years, you purchase an additional $300 worth of coins. At the end of the first 3 years, the price of gold starts to come back down, and when you decide to cash out, your coins are only worth what you paid for them. What is the value of your account now?
Answer:
9900
Step-by-step explanation:
You start with 300, and add 300 32 times (once for every 3 months in 8 years).
\(300+9600=9900\)
Liyana found the total number of large shirts for her company using the strategy
below. Is she correct? Check her work using a strategy of your own
189 shirts +51 shirts + 208 shirts =
100+ 0 + 200 = 300
80 +50 + 10 = 140
9+1 + 8 = 18
300 + 140 + 18 = 458 total shirts
Is Liyana correct? Explain your answer below.
Step-by-step explanation:
no she exceeded number of shirts with 40
Simplify fully
8n
—
10n
Answer:
The answer is 4/5
Step-by-step explanation:
Simplify the expression.
Hoped this helped!
Brainly, please?
Answer: 4/5
Step-by-step explanation: 8n/10n
8/10
4/5
3x^2+9x-7=0 factorizar
EXPLANATION
\(3x^2+9x-7=0\)Esta es una funcion cuadratica, por lo que debemos obtener las raices de la misma.
\(\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Aquí podemos ver que b=9, a=3 y c=-7, por lo que sustituyendo estos valores en la ecuación anterior, nos dará las raices de la función cuadráticaÑ
\(x1,x2=\frac{-9\pm\sqrt[]{9^2-4\cdot3\cdot(-7)}}{2\cdot3}\)Luego, resolviendo dicha ecuación tendremos que:
\(x1,x2=\frac{-9\pm\sqrt[]{81+84}}{6}=\frac{-9\pm\sqrt[]{165}}{6}=\)Las raices de este sistema serán irracionales:
Por lo tanto, la factorización de este sistema nos dará como resultado final:
\(x_1=\frac{-9+\sqrt[]{165}}{6}\text{ x2=}\frac{-9-\sqrt[]{165}}{6}\)\(3x^2+9x-7\text{ = (x-(}\frac{-9-\sqrt[]{165}}{6}\text{))(x-((}\frac{-9+\sqrt[]{165}}{6}\text{))}=0\)Suppose a hawk can fly 78 miles in 3 hours. An owl can fly 99 miles in 4 hours. Which raptor can fly faster and by how much?
Answer:
The Hawk can fly faster
Step-by-step explanation:
First, take 78/3 that will give you the miles per hours the hawk flys.
78/3 = 26 miles/ per hour
Then, do the same for the owl.
99/4 = 24.75 miles an hour.
To find out how much faster the hawk in than the owl suntract the owls miles per hour from the hawks miles per hour.
24.75 - 26 = 1.25 miles faster
Consider this function.
f(x) = |x – 4| + 6
If the domain is restricted to the portion of the graph with a positive slope, how are the domain and range of the function and its inverse related?
If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.
The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.
If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.
The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).
The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.
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Simplify.
2x-4
²-8+12
O
O
O
-6
x+6
x-6
-
x-2
²-82+12
The simplified value of (2x - 4)² is 4x² - 16x + 16.
First, let us understand the algebraic identities;
Algebraic identities are equations in which the left hand side of the equation is identically equal to the right hand side of the equation.
Some of the identities are:
(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b², etc.We are given (2x - 4)².
Use the identity (a - b)² = a² - 2ab + b² to expand to the given expression.
So, a = 2x and b = 4.
Put it into the identity, we will get;
Therefore,
(2x - 4)² = (2x)² - 2 * 2x * 4 + (4)² = 4x² - 16x + 16
Thus, the simplified value of (2x - 4)² is 4x² - 16x + 16.
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2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
Oscar’s dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point.
Using Pythagorean theorem, the height of Oscar's dog house, at its tallest point, is approximately 7.81 feet.
What is Pythagorean Theorem?
The Pythagorean Theorem is a fundamental concept in mathematics that relates to the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The theorem is expressed mathematically as:
a² + b² = c²
Now,
Let's height of the house = "h":
Using Pythagoras
a² + b² = c²
Where "a" and "b" are the lengths of the slanted sides and "c" is the height of the house. We know that "a" and "b" are both 5 feet long, and the bottom of the house is 6 feet across. Let's use this information to find "c":
a = b = 5 feet
b = 6 feet
c² = a² + b²
c² = 5² + 6²
c² = 25 + 36
c² = 61
c = √(61)
c ≈ 7.81 feet
So the height of Oscar's dog house, at its tallest point, is approximately 7.81 feet.
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Solve for x in each figure below using Angle Pair Relationships.
We have the all too familiar parallel pair cut across by a transversal that gives us a system of supplementary and equal angles.
In this case, 132 degrees is equal to the angles that are corresponding and alternate to (x + 39), thus, making 132 degrees and (x + 39) degrees supplementary angles, i.e, add up to 180 degrees.
\(\begin{gathered} (x+39)+132=180 \\ x+171=180 \\ We\text{ subtract 171 from both sides to get} \\ x=180-171=9 \end{gathered}\)x = 9
f(n)=−48⋅(-¼)^n. Complete the recursive formula of f(n)
f(1)=
f(n)=f(n-1)⋅
The function f(n)=−48⋅(-¼)^n is a geometric sequence
The recursive definition of f(n) is f(1) = 12; f(n) = f(n - 1) . -¼
How to determine the recursive formula of f(n)The function is given as:
f(n)=−48⋅(-¼)^n
Calculate f(1)
f(1)=−48⋅(-¼)^1
This gives
f(1) = 12
Calculate f(2)
f(2)=−48⋅(-¼)^2
This gives
f(2) = -3
Calculate the common ratio (r)
r = f(2)/f(1)
So, we have:
f = -3/12
Simplify
r = -1/4
Recall that: r = f(2)/f(1)
This gives
-1/4 = f(2)/f(1)
Make f(2) the subject
f(2) = -1/4* f(1)
Express 1 as 2 - 1
f(2) = -1/4* f(2 - 1)
Substitute 2 for n
f(n) = -1/4* f(n - 1)
Rewrite as:
f(n) = f(n - 1) . -¼
Hence, the recursive definition of f(n) is f(1) = 12; f(n) = f(n - 1) . -¼
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complete the following:• 780mm = _____ cm• 1500 cm^2 = ______ m^2• 0.9 m^2 = ______ mm^2• 6.3 cm ^2 = ______ m^2
We have the next convertions
For the first one
10mm=1cm
therefore
780/10=78
780mm=78cm
For the second one
10000cm^2=1m^2
\(\frac{1500}{10000}=0.15\)1500 cm^2 = 0.15m^2
for the third one
1m^2=1000000mm^2
\(0.9\cdot1000000=900000\)0.9 m^2 = 900000 mm^2
for the fourth
10000cm^2=1m^2
\(\frac{6.3}{10000}=0.00063\)6.3 cm ^2 = 0.00063 m^2
) How do college professors spend their time? The National Education Association Almanac of Higher Education gives the following average distribution of professional time allocation: teaching, 51%; research, 16%; professional growth, 5%; community service, 11%; service to the college, 11%; and consulting outside the college, 6%. Make a pie chart showing the allocation of professional time for college professors.
Answer:
See Attachment
Step-by-step explanation:
Given
\(Teaching = 51\%\)
\(Research = 16\%\)
\(Professional\ Growth =5\%\)
\(Community\ Service = 11\%\)
\(College\ Service = 11\%\)
\(Consulting = 6\%\)
Required
Represent using pie chart
I'll answer using Microsoft Office Excel
First, you need to create a table then you generate a chart from the table
See Attachment
how do u find the length in a long right angle triangle the numbers that are shown are 12m and 8m what is the other meter
Using the pythagorean theorem, we have:
\(\begin{gathered} a^2+b^2=c^2\text{ (a and b legs, c: hypotenuse}) \\ (12)^2+(8)^2=c^2\text{ (Replacing)} \\ 144\text{ + 64 = }c^2\text{ (Raising both numbers to the power of 2)} \\ 208=c^2(\text{ Adding)} \\ \sqrt[]{208}=c\text{ (Taking the square root of both sides of the equation)} \\ 14.42\text{ =c} \\ \text{The answer is 14 m (Rounding to the nearest whole number)} \end{gathered}\)I need help with this question
Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours
What is the number of hours Sarah and Penelope worked?This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.
Let's assume that Sarah worked x hours.
Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.
Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.
Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.
The total number of shirts ironed by both Sarah and Penelope is 475 shirts.
So, we can write the equation: 30x + (35/2)x = 475.
To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.
Now, we can solve for x: x = (475 * 2) / 95 = 10.
Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.
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find the area of 12m and 8m
Answer:
Hiya!!
12m * 8m = 96m
Step-by-step explanation:
The shape given below can be decomposed into which two figures? (Pick two)
Answer:
C and D
Step-by-step explanation:
I would chose this because the square will have all sides of 3 since all the sides are the same size it classifies as a square. Then a right triangle looking at the shape you would have left.
A rectangle is a four sided polygon having all the internal angles equal to 90 degrees. The shape given below can be decomposed into two figures, they are rectangle and right triangle. The correct options are A and D.
What is a trapezium?The trapezium is defined as a quadrilateral with one pair of parallel opposite sides. The parallel sides of a trapezium are called the bases and the non-parallel sides of a trapezium are known as legs. It is also called as the trapezoid.
A trapezium is a closed shape which has four sides and four angles. Anyone pair of opposite sides of a trapezium are parallel to each other. If the legs are of equal length, then it is called the isosceless trapezium.
A triangle in which one of its interior angles is equal to 90 degrees or any one angle is a right angle is the right triangle.
Thus the correct options are A and D.
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In a class of 32 children 18 like tennis 17 like swimming and 15 like cricket 8 like both tennis and cricket, 9 like both tennis and swimming, 6 like both tennis and cricket and 5 likes all three 1. How many like cricket only 2. How many like neither cricket tennis nor swimming 3. How many like tennis and cricket but not swimming
From the set given, the variables we look is as follows
number of children for cricket only = 6the number of children that like neither cricket tennis nor swimming is = 0the number of children that like tennis and cricket but not swimming 15How to find the required variablesCricket only
let the number of children for cricket be c = 15
cricket only = 15 - (8 - 5) - (6 - 5) - 5
= 15 - 3 - 1 - 5
= 6
neither cricket tennis nor swimming
tennis only = 18 - (8 - 5) - (9 - 5) - 5
= 18 - 3 - 4 - 5
= 6
swimming only = 17 - (6 - 5) - (9 - 5) - 5
= 17 - 1 - 4 - 5
= 7
tennis and swimming only = 9 - 5 = 4
tennis and cricket only = 8 - 5 = 3
swimming and cricket only = 6 - 5 = 1
tennis cricket and swimming = 5
cricket only = 6
neither cricket tennis nor swimming = all the children - sum of the variables found
= 32 - (6 + 6 + 7 + 4 + 3 + 1 + 5)
= 32 - (32)
= 0
tennis and cricket but not swimming
= tennis and cricket only + cricket only + tennis only
= 3 + 6 + 6
= 15
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Miranda found out there are 20 drops in 1 mL of medicine. She measured 15 drops of medicine into a measuring cup. How many milliliters of medicine are in her measuring cup?
A:0.75 mill
B: 0.075 mL
C: 0.15 mL
D 1.5 mL
Answer:
A: 0.75 mill
step-by-step explanation:
15/20 = 75/100
0.75 = 75/100
sally has 123 books she divided them into 10 groups how many are in each group?
Answer:
12 remainder 3 (or 12.3)
Step-by-step explanation:
123/10=12.3
you can't really have .3 of a book, so 12 remainder 3 or three groups of 13 and 7 groups of 12.
Question 1 Business Analytics
The responses to the linear optimization questions are;
Question 1
The optimal daily profit is $380
Question 2
The combination of x and y that yield the optimal value is the option;
x = 0, y = 3
What is linear optimization or optimization?Linear programming is a method by which the optimal solution can be obtained from a model represented mathematically and in which the constraints of the model have linear relationships.
Question 1
Let B represent the number of bear claws, C the almond-filled croissant, F represent the flour, Y represent the amount of yeast and A represent the number of almonds.
The amount of ingredient per each produce is therefore;
B = 6·F + 1·Y + 2·A
C = 3·F + 1·Y + 4A
The amount of ingredient available for the days production is as follows;
Ingredient available; 6600·F + 1400·Y + 4800·A
The constraints are therefore
6·B + 3·C ≤ 6,600
B + C ≤ 1,400
2·B + 4·C ≤ 4800
The maximizing function is therefore;
Profit = 0.2·B + 0.3·F
The equations of the lines are therefore;
B = 1,100 - 0.5·C
B = 1400 - C
B = 2400 - 2·C
The vertices of the feasible region are;
(0, 1100), (600, 800), (1000, 400), 1200, 0)
The values of the maximizing function at the vertices of the feasible region are;
Profit, P = 0.2×1100 + 3×0 = 220
At point (600, 800), P = 0.2×800 + 0.3×600 = 340
At point (1000, 400), P = 0.2×400 + 0.3×1000 = 380
At point (1200, 0), P = 0.2×0 + 0.3×1200 = 360
The maximum profit is $380, obtained when 400 Bear claws and 1000 almond filled croissants are producedQuestion 2
Maximize $3·x + $15·y
Subject to the following constraints;
2·x + 4·y ≤ 12
5·x + 2·y ≤ 10
x, y ≥ 10
The equations are therefore;
4·y ≤ 12 - 2·x
y ≤ 3 - 0.5·x...(1)
5·x + 2·y ≤ 10
2·y ≤ 10 - 5·x
y ≤ 5 - 2.5·x...(2)
x ≥ 10, y ≥ 10
The coordinates of the vertices of the feasible region are;
(0, 3), (1, 2.5), and (2, 0)
The values of the maximizing function are therefore;
At (0, 3), M = $3 × 0 + $15 × 3 = $45
At (1, 2.5), M = $3 × 1 + $15 × 2.5 = $40.5
At (2, 0), M = $3 × 2 + $15 × 0 = $6
The combination of x and y that yield the optimum is therefore;
(x, y) = (0, 3)
x = 0, and y = 3
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