The answer is The third angle measures 120 degrees
Step-by-step explanation:
I know this because a triangle has angle sum of 180 and so if you know two of the sides then you can add them together; 30+30 = 60 then substract it from 180; 180-60 and that would equal 120 degrees.
Samuel made 31 out of 40 field goals during football practice. What percent of the field goals did Samuel make?
The percent of the field goals did Samuel make will be 77.5%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:
= 31 / 40 × 100
= 77.5%
The percentage is 77.5%.
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x + 4 =
A 2
B. 10
C. 11
D. 24
Answer:
please the question is not complete oo
Max loves fishing. He and his family chartered a fishing boat that left Florida and traveled towards the Bahama Islands at an
average speed of 10 km/hour. Some time later a cruise ship left traveling in the same direction but at an average speed of 14
km/hour. After traveling for ten hours the cruise ship caught up with the fishing boat. How long did the fishing boat travel before
the cruise ship caught up?
Note: Remember to find the time the fishing boat was traveling not just what x is.
Select the correct response:
28 hours
24 hours
14 hours
12 hours
The fishing boat traveled for 14 hours before the cruise ship caught up.
We have,
Let's assume that the fishing boat traveled for x hours before the cruise ship caught up.
In that time, the fishing boat covered a distance of 10x km.
During the same 10 hours, the cruise ship traveled 14 x 10 = 140 km.
Since both the fishing boat and the cruise ship covered the same distance, we can write:
10x = 140
Solving for x, we get:
x = 14
Therefore,
The fishing boat traveled for 14 hours before the cruise ship caught up.
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Alonso fue al mercado con $55 para comprar huevos y azúcar. Sabe que necesita un paquete de 12 huevos que cuesta $2.75, Después de obtener los huevos, quiere comprar todo el azúcar que pueda con el dinero restante. El azúcar que le gusta viene en cajas que cuestan $11.50, 50 cada una. Hagamos que S represente el número de cajas de azúcar que compra Alonso.
1) ¿Cuál desigualdad describe este escenario?
2) Después de obtener los huevos, ¿cuántas cajas de azúcar puede comprar Alonso?
The expression that van be used to illustrate the quantities that Alonso will buy is 2.75e + 11.5s = 55.
How to illustrate the information?Total amount = $55
Cost of eggs = $2.75 per pack
Cost of sugar = $11.50 per box
Therefore, based on the information, it should be noted that the expression that can be used to illustrate the information will be:
Let s = sugar
Let e = eggs
Therefore, the expression will be:
(2.75 × e) + (11.50 × s) = 55
2.75e + 11.5s = 55
The expression that van be used to illustrate the quantities that Alonso will buy is 2.75e + 11.5s = 55.
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Cameron's dog weighs 10 pounds more than her cat. Her dog weighs 7 pounds less than Bill's dog. Cameron's cat weighs 8 pounds. How much does Bill's dog weigh?
Answer:
25
Step-by-step explanation:
10+7+8=25 this is because her cat weighs 8 pounds and her dog weighs 10 pounds more so that's 18 lb. after words it says Cameron's dog weighs 7 pounds less than bills so you do 18+7 and that equals 25
What is the value of y?
Answer:
60
Step-by-step explanation:
60+60+y=180 (angle sum property )
120+y=180
y=180-120
y=60
pls help ASAP
./././././././././././././././././././././././././././././././././././././././././././././././././././././././
Answer: the second one
Step-by-step explanation:
commutative is like
A+b=b+A
So 4+(-6)=-6+4
Which is like 4-6=-6+4
THIS IS ONLY FOR PRETTY SMaRT PEOPLE DONt aNSWER IF UR NOT SMART ENOUGH
Step-by-step explanation:
above is the solution to the question
A party planner organized a dinner party. The party planner recorded the height of the candlesticks over time and graphed the relationship. graph with the x axis labeled time in hours and the y axis labeled height of candlestick in inches and a line going from the point 0 comma 9 through the point 3 comma 7 Find and interpret the slope and y-intercept in this real-world situation. The slope is negative two thirds, and the y-intercept is 9. The candle starts at a height of 9 inches and decreases two thirds of an inch every hour. The slope is negative three halves, and the y-intercept is 9. The candle starts at a height of 9 inches and decreases three halves of an inch every hour. The slope is 9, and the y-intercept is negative two thirds. The candle starts at a height of two thirds of an inch and decreases 9 inches every hour. The slope is 9, and the y-intercept is negative three halves. The candle starts at a height of three halves of an inch and decreases 9 inches every hour.
The slope and the y intercepts of the given graph which shows height of the candlesticks over time is :
Slope = -2/3
Y intercept = 9
The graph is that of the height of the candlesticks over time.
The line passes through two points (0, 9) and (3, 7).
Slope of the line can be calculated as,
Slope = (7 - 9) / (3 - 0) = -2/3
Hence the slope id negative two thirds.
y intercept of a graph is the y coordinate of the point where the line touches the Y axis.
The x coordinate will be 0 there.
The line passes through (0, 9).
So y intercept = 9
Hence the slope and the y intercept are -2/3 and 9 respectively.
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I need help ASAP for grade
Answer:
y=2x+3
Step-by-step explanation:
A firm experiences_______ if inputs are doubled and output more than doubles. diminishing marginal rate of technical substitution diminishing marginal product decreasing returns to scale increasing returns to scale
A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.
When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.
The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.
This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.
The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.
Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.
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Test for relative maxima and minima. Use the second-derivative test, if possible. \[ y=x^{3}-12 x+3 \] Select the correct choice below and, if necessary, fill in the answer box(es) to complete your ch
In this the correct choice is: D. There are no relative maxima and no relative minima.
The given function is y = \(x^{3}\) - 12x + 3. To find the relative maxima and minima, we need to calculate the first and second derivatives of the function.
First, let's find the first derivative: y' = 3\(x^{2}\) - 12
Now, let's find the second derivative: y'' = 6x
To apply the second-derivative test, we need to determine the critical points by setting the first derivative equal to zero and solving for x:
3\(x^{2}\) - 12 = 0
\(x^{2}\)- 4 = 0
(x - 2)(x + 2) = 0
From this equation, we find that x = 2 and x = -2 are the critical points.
Now, let's evaluate the second derivative at these critical points:
y''(2) = 6(2) = 12
y''(-2) = 6(-2) = -12
Since the second derivative at x = 2 is positive (12 > 0) and the second derivative at x = -2 is negative (-12 < 0), the second-derivative test tells us that there are no relative maxima or minima. Therefore, the correct choice is D. There are no relative maxima and no relative minima for the given function.
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The complete question is:
Test for relative maxima and minima. Use the second-derivative test, if possible. y=x3 - 12x + 3 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The relative maxima occur at x = 2. The relative minima occur at -2. (Type integers or simplified fractions. Use a comma to separate answers as needed.) The relative maxima occur at x=-2. There are no relative minima. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O C. The relative minima occur at x = 2 . There are no relative maxima. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OD. There are no relative maxima and no relative minima.
bob bought a popcorn, a soda, and a hotdog at the movies for 9.90 . popcorn costs 3 more than a hotdog. a soda costs 0.60 less than a hotdog. how much is each item?
Each item costs: 5.50 for a popcorn, 1.90 for a soda, and 2.50 for a hotdog.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.
Let x = cost of a hotdog.
If popcorn costs 3 more than a hotdog, then
3 + x = cost of a popcorn.
If a soda costs 0.60 less than a hotdog, then
x - 0.60 = cost of a soda.
If a popcorn, a soda, and a hotdog at the movies is 9.90, then
(3 + x) + (x - 0.60) + x = 9.90
Simplify the equation and solve for the value of x.
(3 + x) + (x - 0.60) + x = 9.90
3 + x + x - 0.60 + x = 9.90
3x = 9.90 - 3 + 0.60
3x = 7.50
x = 2.50
cost of a hotdog = x = 2.50
cost of a popcorn = 3 + x = 3 + 2.50 = 5.50
cost of a soda = x - 0.60 = 2.50 - 0.60 = 1.90
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what is an solar system of an mercury that is the hottest planet on earth
Answer:
Could you be a little more clear? If your asking which planet is the most hottest in the solar system, that would be Venus.
Step-by-step explanation:
Evaluate when c=5 and d=10
5 x d ÷ c + 2=12
Step-by-step explanation:
First we need to remember the rule of PEMDAS and then simplify.
5×10/5+2=12
Multiply
50/5+2=12
Divide
10+2=12
Add
12=12
Suppose f(x) = √x. (a) Find the equation of the tangent line (i.e. the linear approximation) to f at a = 36. y = x+ (b) Rounding to 4 decimals, use the result in part (a) to approximate:
The equation of the tangent line is y = 1/12x + 3
The result at x = 36 is y = 6
Finding the equation of the tangent lineFrom the question, we have the following parameters that can be used in our computation:
f(x) = √x
Differentiate to calculate the slope
So, we have
\(f'(x) = \frac 12x^{-\frac{1}{2}\)
The value of x = 36
So, we have
\(f'(36) = \frac 12 * 36^{-\frac{1}{2}\)
Evaluate
f'(36) = 1/12
The equation can then be calculated as
y = f'(x)x + c
This gives
y = 1/12x + c
Recall that
f(x) = √x
So, we have
f(36) = √36 = 6
This means that
6 = 1/12 * 36 + c
So, we have
c = 3
So, the equation becomes
y = 1/12x + 3
Solving the equation at x = 36, we have
y = 1/12 * 36 + 3
Evaluate
y = 6
Hence, the result is y = 6
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Given the function f(x) = -x^2 +7x + 6, find the interval(s) in which f(x) is decreasing.
Answer:
Step-by-step explanation:
f'(x)=-2x+7
f(x) is decreasing if '(x)<0
so -2x+7<0
or 7<2x
or 2x>7
or x>7/2
including end points f(x) is decreasing in [3/2,∞)
CA Geometry A Illuminate Credit 4 FF.pdf
all 4 pls
Answer:
1) HL=LJ=63
(ZJ)²=16²+63²
(ZJ)²=256+3969
ZJ=√4425
ZJ= 65
2)HJ=HL+LJ
= 63+63
HJ=126
3) XC=XA=8
4) BE=AB/2=20/2=10
OAmalOHopeO
Melissa can ride her skateboard 2 miles in 10 minutes. How many miles can she ride her skateboard in 1.5 hours?
Answer:
18 miles
Step-by-step explanation:
1.5 hours is 90 minutes
10 goes into 90 nine times,
2x9=18
John is looking at the eagle on top of a building The height of the building is 120 ft Approximately how many feet is Jack away from the base of the building?
Answer:
The answer is below
Step-by-step explanation:
The question is not complete. A similar question is attached and is solved.
Solution:
A triangle is a polygon with three sides and three angles. Types of triangles are scalene, acute, obtuse, isosceles, equilateral and right angled triangle.
A right angled triangle is a triangle with one angle equal to 90 degrees. The longest side of a right angled triangle is known as the hypotenuse. Trigonometric identities is used to show the relationship between the angles and sides of a right angled triangle, i.e.:
sinθ = opposite/hypotenuse; cosθ = adjacent / hypotenuse; tanθ = opposite / adjacent
From the image:
let the distance from jack to the base of the building be x, hence:
tan60 = x / 60
x = 60 * tan60 = 104 ft.
If f(x) = -2x + 3 and g(x) = 4x - 3, which is greater, f(5) or g(-2)?
Factorize: tan2A – tanA – 30
Answer:
hope this helps you
have a great time and day
Let a and b be two independent events. if p(a) = .25, what can you say about p(a | b)?
p(a|b) = 0.75 if a and b be two independent events and p(a) = .25.
According to the given question.
a and p are two independent events.
Then,
p(a) + p(b) = 1
Also, p(a) = 0.25
⇒ p(b) = 1 - 0.25
⇒ p(b) = 0.75
By using fundamental definition
The conditional probability of event B given event A is P(A|B)= p(B), when two events are independent.
Therefore,
p(a|b) = p(b)
⇒ p(a|b) = 0.75
Hence, p(a|b) = 0.75 if a and b be two independent events and p(a) = .25.
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Hii can someone who is really good at math please help me with these 2 math questions. I'm struggling with them!!
Suppose that my errors for Months 1−6 are (in order) −10,−2,3,−5,4, and −8. What is my Mean Absolute Deviation over Months 3-6?
a. −1.5
b. 5
c. 8
d. −3
The Mean Absolute Deviation over Months 3-6 is 5.
Correct answer is option C) 5
To calculate the Mean Absolute Deviation (MAD) over Months 3-6, we need to follow these steps:
Identify the errors for Months 3-6: The errors for Months 3-6 are 3, -5, 4, and -8.
Calculate the absolute value of each error: Taking the absolute value of each error gives us 3, 5, 4, and 8.
Find the sum of the absolute errors: Add up the absolute errors: \(3 + 5 + 4 + 8 = 20.\)
Divide the sum by the number of errors: Since there are 4 errors, we divide the sum (20) by 4 to get the average: 20/4 = 5.
Determine the Mean Absolute Deviation: The MAD is the average of the absolute errors, which is 5.
Therefore, the Mean Absolute Deviation over Months 3-6 is 5.
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how deep would a water container have to be to have the same pressure at the bottom as that found at the bottom of a 10.0 -cm deep beaker of mercury, which is 13.55 times as dense as water
A 10 cm deep beaker mercury will have the same hydrostatic pressure as 133.5 cm deep water.
The hydrostatic pressure exerted by a fluid is given by:
P = ρ.g.h
Where:
ρ = fluid density
g = gravitational acceleration
h = fluid depth
We want to compare 2 types of fluid, water and mercury.
Divide both sides of the equation by h
P/h = ρ.g
Since pressure is held constant, then the fluid density is inversely proportional to the fluid depth.
Therefore,
h_water : h_mercury = ρ_mercury : ρ_water
Given that:
ρ_mercury = 13.55 ρ_water and h_mercury = 10 cm
Then,
h_water : 10 = 13.55 ρ_water : ρ_water
h_water : 10 = 13.55 : 1
h_water = 13.55 × 10 = 135.5 cm
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Can someone help, please? Thanks!
Each points can be determine as the ordered pair (x, y) with inequalities;
W ⇒ x ≥ 5 and y < -1
X ⇒ x ≥ 5 and y > 1
Y ⇒ x < -5 and y ≥ 5
Z ⇒ x < -1 and y < -4
Define the term graph?A chart in x-y hub plot is a visual portrayal of numerical capabilities or data of interest on a Cartesian direction framework. The horizontal, or independent, variable is represented by the x-axis, while the vertical, or dependent, variable is represented by the y-axis. To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.
According to the graph each points can be determine with inequalities;
W = (5, -2) ⇒ x ≥ 5 and y < -1
X = (5, 2) ⇒ x ≥ 5 and y > 1
Y = (-6, 5) ⇒ x < -5 and y ≥ 5
Z = (-2, -5) ⇒ x < -1 and y < -4
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It is one of the natures of mathematics where it gives an easy & early opportunity to make independent discoveries.
One of the natures of mathematics is that it provides an easy and early opportunity to make independent discoveries.
Mathematics is a subject that allows individuals to explore concepts and solve problems on their own. This can be done through the process of problem-solving, where one can use their own reasoning and logical thinking skills to arrive at a solution.
Additionally, mathematics often builds upon previous knowledge, so even beginners can make their own discoveries by applying basic principles and techniques.
Overall, mathematics encourages independent thinking and exploration, making it a subject where individuals can make their own unique discoveries.
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Testing more properties of the Cobb-Douglas utility function Check if the Cobb-Douglas utility function u(x
1
,x
2
)=x
i
α
x
2
β
, where α,β>0, satisfies the following properties: (a) local nonsatiation, (b) decreasing marginal utility for both goods 1 and 2, (c) quasi-concavity, and (d) homotheticity.
The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.
The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:
(a) Local non-satiation:
This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.
(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:
MU1 = α * xi^(α−1) * x2^(β)
The marginal utility of x2 can be obtained as:
MU2 = β * xi^(α) * x2^(β−1)
Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.
(c) Quasi-concavity:
The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.
(d) Homotheticity:
The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.
In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.
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A triangle has sides with lengths of 100 inches, 56 inches, and 80 inches. Is it a right triangle?
Answer:
No.
Step-by-step explanation:
If these sides come out true in the Pythagorean Theorem, then it is a right triangle.
a² + b² = c²
56² + 80² = 100²
3136 + 6400 = 10000
9536 ≠ 10000
Since these values do not come out true in the Pythagorean Theorem, it is not a right triangle.
Answer:
Possibly, A right triangle has a really long side that is "c" in the picture. If the 100 length is c then the 80 one could be "b" while the 56 is "a"
I know it doesnt make much sense but I hope it helps
I see people looking at mine because its simple but you should look at the other guys awnser. He has information and details that explain their awnser. I didn't really do much to get the awnser. Look at theirs Please.