Answer:
C) \(8\frac{7}{16}\)
Step-by-step explanation:
Change the mixed fraction into an improper fraction so its easier to solve the expression.
\(3\frac{3}{4}\) → \(\frac{15}{4}\)
Now to divide the fractions, flip the second term and multiply that by the first term.
\(\frac{15}{4}\) ÷ \(\frac{4}{9}\) → \(\frac{15}{4}\) × \(\frac{9}{4}\)
\(\frac{15}{4}\) × \(\frac{9}{4}\) = \(\frac{135}{16}\)
Then change that improper fraction into a mixed fraction.
\(\frac{135}{16}\) → \(8\frac{7}{16}\)
Hope this helps! I apologize if I'm incorrect.
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
The two triangles are related by , so the triangles .
As per the figure the two triangles are congruent to each other.
What are congurent triangles?
Two triangles are said to be congurent if they have same shape and same size and when we put one triangle on the other it will completely fits on it.
Now, as per the figure the two sides of the triangles are equal to each other and one angle of both the triangles are equal to each other.
So, this is the relationship between two triangles .
When the two sides and one angle of the triangle are equal to each other then then both the triangles are congurent to each other.
So, the two triangles are congurent to each other by SAS (Side Angle Side).
Hence, the two triangles are congurent to each other.
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each side of a square painting is 6 feet long what is the paintings area
The painting has an area of 36 square feet.A square is a special type of rectangle where all four sides are equal in length.Because a square has four equal sides, its perimeter (the total distance around the outside) is simply four times the length of one side.
The area of a square is given by the formula A = s^2, where s is the length of a side. In this case, the length of each side of the square painting is 6 feet, so the area of the painting is:
A = \(6^2\)= 36 square feet
In the case of the square painting we considered earlier, the perimeter would be 4 x 6 feet = 24 feet. A square also has some unique properties that make it different from other quadrilaterals (four-sided shapes). For example:All four interior angles of a square are right angles (90 degrees).
The diagonals of a square are equal in length and perpendicular to each other, bisecting each other at the center of the square. The area of a square is maximized for a given perimeter compared to any other quadrilateral. This is why squares are often used to maximize the amount of usable space in a given area (e.g. in city planning, where square city blocks are often used).
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Which equation show the relationship between the number of
hours, x, and the number of dogs groomed, y?
y = 15x
y = 5x
y = 30x
y=3x
The relation that can be formed by obersving the Cartesian Plane is y = 5x
What is Co-ordinate Geometry?
The study of geometry using coordinate points is known as coordinate geometry (or analytic geometry). It is possible to estimate the distance between two points, divide lines in a m:n ratio, identify the midpoint of a line, calculate the area of a triangle in the Cartesian plane, and so on using coordinate geometry.
Solution:
By analysing the given Cartesian Plane
it can be observed that the rate of change of y with respect to x
is 5 times
Therefore, the relation that can be formed by obersving the Cartesian Plane is y = 5x
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-3x^2+4x-2=0
standard form and its a b c
with explanation
The equation is already in standard form since standard form is
ax^2+bx+c = 0
Here we have
a = -3
b = 4
c = -2
7 - 36 - 2(b + 3 - 2b)
To simplify the expression in the box, Fatua used these steps:
Step 1:7 - 3b - 2/3 - 3b)
Step 2: 7 - 3b - 6 - 3b
Step 3: -13 - 6b
Did Fatua calculate correctly? If not, in what step did she make her FIRST mistake?
А
Yes, Fatua calculated correctly.
OO
B
No, Fatua made her FIRST mistake in Step 1.
С
No, Fatua made her FIRST mistake in Step 2
oo
No, Fatua made her FIRST mistake in Step 3.
See
Answer:
Your answer should be c or D
Step-by-step explanation:
No, Fatua committed her Most memorable error in Sync 1. Then the right choice is B.
What is Algebra?Polynomial math is the investigation of conceptual images, while rationale is the control of that large number of thoughts.
The abbreviation PEMDAS represents Enclosure, Type, Augmentation, Division, Expansion, and Deduction. This approach is utilized to answer the issue accurately and totally.
The expression is given below.
⇒ 7 - 36 - 2(b + 3 - 2b)
The steps of the solution are given below.
Step 1: 7 - 3b - 2/3 - 3b)
Step 2: 7 - 3b - 6 - 3b
Step 3: -13 - 6b
In the first step, No, Fatua forgot to write the number negative 36 in the expression.
Fatua made her FIRST mistake in Step 1. Then the correct option is B.
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complete the statement with <,>,or =. this /0/ is a straight line
1.) 2_9
2.)-6_5
3.)-12_-4
4.)-7_-13
5.)/-8/_/8/
6.)-10_/-18/
Answer:
1 <
2 <
3 >
4 <
5 >
6 <
Bryce has a coupon for 15% off of his purchase. After the discount, the item was $150. What was the original cost of the item
Answer:
ok so x*0.85=150
so x=176
Hope This Helps!!!
Pls help I’m struggling with these ones
Answer:
z=18.8cm
Step-by-step explanation:
Pythagorean theorem:
\(a^{2} +b^{2} =c^{2}\)
with "a" being 8cm, and "b" being 17cm.
Substitute:
\(8^{2} +17^2=c^2\\64+289=c^2\\353=c^2\\\sqrt{353}=c\\ 18.788....=c\\\)
rounded to the nearest 1 decimal place= 18.8 cm.
So, z=18.8 cm.
(EDITED!!!! I'm so sorry I rounded to the wrong place!!)
Hope this helps! :)
Slope of (5a, b) and (2a, 2b)
Answer:
8a+4b
Step-by-step explanation:
A)There are twice as many students in the math club as in the telescope club. Suppose there are $x$ students in the telescope club and $y$ students who are members of both clubs. Find an expression for the total number of students who are in the math club or the telescope club (or both). Give your answer in simplest form.
b)There are twice as many students in the math club as in the telescope club. Suppose there are students in the telescope club and students who are members of both clubs. Find an expression for the total number of students who are in the math club or the telescope club but not both. Give your answer in simplest form.
The number of students in the telescope club by $x$ and the number of students in the math club by $y$.
$y=2x$Now, suppose there are $z$ students who are members of both clubs. Then the total number of students who are in the math club or the telescope club (or both) is given by:$x + y - z$ Substituting $y=2x$ in the above expression, we get:$x + 2x - z=3x - z$ Hence, the expression for the total number of students who are in the math club or the telescope club (or both) is $3x - z$.b)The number of students who are in the math club but not in the telescope club is given by:$y-z$ And the number of students who are in the telescope club but not in the math club is given by:$x-z$ Adding these two expressions, we get the total number of students who are in the math club or the telescope club but not both:$ y-z+x-z $.
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A ladder leans against the wall of a building. The ladder measures
41 inches and forms an angle of 42° with the ground. How far from
the ground, in inches, is the top of the ladder? How far from the
wall, in inches, is the base of the ladder? Round to two decimal
places as needed.
We can use trigonometry to solve this problem. Let's call the height of the ladder "h" and the distance from the wall to the base of the ladder "d".
From the problem, we know that the ladder forms a 42° angle with the ground. This means that the sine of the angle is equal to the opposite side (h) over the hypotenuse (41 inches):
sin(42°) = h/41
We can solve for h by multiplying both sides by 41 and taking the sine of 42°:
h = 41 × sin(42°)
h ≈ 28.61 inches
So the top of the ladder is about 28.61 inches from the ground.
To find the distance from the wall to the base of the ladder, we can use the cosine of the angle:
cos(42°) = d/41
We can solve for d by multiplying both sides by 41 and taking the cosine of 42°:
d = 41 × cos(42°)
d ≈ 31.15 inches
So the base of the ladder is about 31.15 inches from the wall.
True or false: f(x) is a function.
A. True
Step by step explanation:
1. if we where given a graph and told to determine whether it's a function or not, we would have used a VERTICAL LINE TEST.
2. In this case we have points, and for every x value we have one corresponding y value which makes it a function that is a ONE-TO- ONE FUNCTION
PLEASEE HELPP!!! 30 POINTSSS.
State the center point and radius of the circle. Write the equation of the circle in general form.
Answer:
center is (-4, 2). the radius is 4.
Step-by-step explanation:
equation if the circle is r^2= (x-h)^2+(y-k)^2 where (h,k) is the center and r is the radius so 4^2= (x+4)^2+(y-2)^2
I NEED AN ANSWER ASAP PLEASE
Step-by-step explanation:
the correct answer is option a 6a-7
Im to lazy for math can u help me please?
Answer:
he spent $68 without the fees and $32 on fees
Step-by-step explanation:
For which linear equation is the point (1, 3) a solution?
Answer:
C
Step-by-step explanation
2x + y =5
2(1) + (3) =5
2+3=5
5=5
Find the measurement which is most accurate to 45.76 kg.
A. 45.77 kg
B. 45.78 kg
C. 45.79 kg
D. 45.81 kg
Answer:
A. 45.77 kg
Step-by-step explanation:
The measurement with the smallest difference from 45.76 is 45.77 kg.
I don't understand what I'm doing wrong, please help
Answer:
dy/dx= 7- 3x^-1/2
when X=1
dy/dx = 4
as it is a tangent M1=M2=4
now,
at gradient 4 and point (1,1)
equation of curve is ,
y-y1= m(x-x1)
or, y-1=4(x-1)
or, y-1=4x-4
or, y-4x= -3
or, 4x-y=3
Answer:
BRAINLEST ANSWER
Step-by-step explanation:
dy/dx=7-3x^-1/2
when x=1
Dy/dx=4
as it is a tangent M1=M2=4 now
at gradient 4 and point(1,1) equation of a curve is y-y1=m(x-x1)
or y-1=4(x-1)
or y-1=4x-4
or y-4x=-3
or 4x-y=3
the model shows that 1 3/5 ÷ 4/5 =2 what would happen if you divide by 2/5 instead of 4/5
What would happen is the result would increase by a factor of 2. The result of dividing the fractions will be 4.
Division of fractionsFrom the question, we are to determine what would happen if we divide by 2/5 instead of 4/5
That is,
We are to carry out the division operation
1 3/5 ÷ 2/5
Evaluating
1 3/5 ÷ 2/5
8/5 ÷ 2/5
8/5 × 5/2
= 8/2
= 4
The answer increased by a factor of 2.
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In this problem, p and C are in dollars and x is the number of units. A monopoly has a total cost function C = 1,000 + 120x + 6x2 for its product, which has demand function p = 360 - 3x – 2x2. Find the consumer's surplus at the point where the monopoly has maximum profit. Step 1 We must first find the point where profit is maximized. Because the demand for x units is p = 360 – 3x – 2x, the total revenue is the following. R(x) = px = (360 – 3x – 2x2)( = –2x3 – 9x2 + 240x – 1000 *
To find the consumer's surplus at the point where the monopoly has maximum profit, we first need to find the quantity (x) that maximizes the monopoly's profit. The profit function (P) can be calculated by subtracting the total cost (C) from the total revenue (R):
P(x) = R(x) - C(x)
Given that the total cost function is C = 1,000 + 120x + 6x^2 and the total revenue function is R(x) = (360 - 3x - 2x^2) * x, we can substitute these equations into the profit function and simplify:
P(x) = (360 - 3x - 2x^2) * x - (1,000 + 120x + 6x^2)
P(x) = -2x^3 - 9x^2 + 240x - 1,000
To find the value of x that maximizes the profit, we can take the derivative of the profit function with respect to x and set it equal to zero:
P'(x) = -6x^2 - 18x + 240 = 0
solving for x, we get x = 5 or x = -12.5. Since x represents the number of units, we reject the negative value and conclude that the monopoly has maximum profit when it produces and sells 5 units.
The quantity demanded is given by the demand function, which is p = 360 - 3x - 2x2. Setting this equal to 5, we get p = 325. Therefore, the equilibrium price is $325 per unit. The consumer's surplus is the difference between the maximum amount that consumers are willing to pay and the actual price they pay. The maximum amount that consumers are willing to pay for a unit is given by the demand function evaluated at x = 0, which is p = 360. Therefore, the consumer's surplus at the point where the monopoly has maximum profit is $35 per unit, which is the difference between 360 and 325.
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Which of the following is an arithmetic sequence?
Answer:
B: 3,0,-3,-6
Step-by-step explanation:
An arithmetic sequence has constant adding or subtracting. In this case, 3 is being subtracted as a constant.
9. Here are a few advanced options questions.
a. Imagine I have a choice between selling a 25 delta strangle and a 35 delta strangle. Which one would I receive more premium; the sold 25 delta or the sold 35 delta?
b. The 25 delta risk reversal for USDCAD (Canadian dollar per U.S. dollar) is trading at no cost. What does this mean in terms of the market’s perception of future directional movement?
c. Is it possible for the same underlying asset and maturity to have the 35 delta risk reversal trading at 1% and the 10 delta risk reversal at -2%? Why or why not?
a. The sold 35 delta strangle would generally receive more premium compared to the sold 25 delta strangle.
b. A 25 delta risk reversal for USDCAD trading at no cost suggests that the market perceives an equal probability of future directional movement in either direction.
c. It is possible for the same underlying asset and maturity to have the 35 delta risk reversal trading at 1% and the 10 delta risk reversal at -2% based on market conditions and participants' expectations.
a. The delta of an option measures its sensitivity to changes in the underlying asset's price. A higher delta indicates a higher probability of the option being in-the-money. Therefore, the sold 35 delta strangle, which has a higher delta compared to the 25 delta strangle, would generally receive more premium as it carries a higher risk.
b. A 25 delta risk reversal trading at no cost suggests that the implied volatility for call options and put options with the same delta is equal. This implies that market participants perceive an equal probability of the underlying asset moving in either direction, as the cost of protection (via put options) and speculation (via call options) is balanced.
c. It is possible for the same underlying asset and maturity to have different delta risk reversal levels due to market conditions and participants' expectations. Market dynamics, such as supply and demand for options at different strike prices, can impact the pricing of different delta risk reversals. Factors such as market sentiment, volatility expectations, and positioning by market participants can influence the pricing of options at different deltas, leading to varying levels of risk reversal.
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Let a function f be analytic everywhere in a domain D. Prove that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D.
By using the Cauchy-Riemann equations on a real-valued function, it can be proven that the function f(z) is constant in the domain D. This is important for understanding analytic functions in complex analysis.
To prove that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D, let a function f be analytic everywhere in a domain D. We know that a real-valued function is said to be a function whose values lie on the real line. In the case of the complex plane, a function whose values lie on the real line is real-valued.
The Cauchy-Riemann equations, which define the necessary conditions for a function f(z) to be analytic in a domain, say that the imaginary component of f(z) is determined by its real component.
To be more precise, if f(z) is real-valued for all z in D, then we can say that:u(x, y) = f(z),v(x, y) = 0
By definition, the Cauchy-Riemann equations can be stated as:
∂u/∂x = ∂v/∂y∂u/∂y = -∂v/∂x
Taking the first equation, we get:
∂u/∂x = ∂v/∂y => ∂v/∂y = 0
Since v is equal to 0 for all values of x and y, the above equation reduces to ∂u/∂x = 0, which implies u is constant with respect to x.
Similarly, taking the second equation, we get:
∂u/∂y = -∂v/∂x => ∂u/∂y = 0
Since u is equal to a constant for all values of x and y, the above equation reduces to ∂v/∂y = 0, which implies v is constant with respect to y. Since u and v are both constant with respect to their respective variables, u + iv = f(z) is a constant with respect to z throughout the domain D. Thus, we have proved that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D.
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benny sold half of his comic books and then bought 6 more. he now has 11 how many did he begin with?
Answer: he had 12 books to begin with
Step-by-step explanation:
Answer = 5
step-by-step explanation: 11-6=5
Consider the set {2, 1, 3, 4}. How many subsets could be formed from this set?
Answer:
16
Step-by-step explanation:
{} {1,2,3,4}{1}{2}{3}{4}{1,2}{1,3}{1,4}{2,3}{2,4}{3,4}{1,2,3}{1,2,4}{1,3,4}{2,3,4}
A student found out that 8% ofthe students in his school are left-handed.If there are 114 lefties, how many students are in his school?
Answer: 1,425 students
Step-by-step explanation: This is easy to solve using proportions/
114/8 = ?/100
First, you cross multiply (or whatever this is called sry) 100x114=11400
Then divide 11400÷8=1,425
prove the identity
(cosx+cosy)^2+(sinx-siny)^2=2+2cos(x+y)
Answer:
See below.
Step-by-step explanation:
(cos x + cos y)² + (sin x - sin y)²
Expand each squared term
= (cos x + cos y)*(cos x + cos y) + (sin x - sin y)*(sin x - sin y)
= (cos²x + 2 cos x cos y + cos²y) + (sin²x - 2 sin x siny + sin²y)
Simplify the expression
= (cos²x + sin²x) + (cos²y + sin²y) + 2(cos x cos y - sin x sin y)
Apply the Pythagorean identity: (sin²x + cos²x = 1)
= 1 + 1 + 2(cos x cos y - sin x sin y)
Apply the addition formula for cosine: cos(x+y) = cos x cos y - sin x sin y
= 1 + 1 + 2cos(x+y)
Add together everything
= 2 + 2cos(x+y)
Multiply (x+9)2 need help ASAP
Answer:
2+18
Step-by-step explanation:
(x + 9)2 distribute 2 · x = 2x and 9 · 2 = 18.
2x + 18, is the answer.
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Statistically meaningful results that make it possible for researchers to feel confident that they have confirmed their hypotheses is known as a
Statistically meaningful results that make it possible for researchers to feel confident that they have confirmed their hypotheses is known as a statistically significant outcome.
statistically meaningful results that make it possible for researchers to feel confident that they have confirmed their hypotheses is known as statistical significance.
This means that the results are unlikely to be explained solely by chance or random factors. The p value, or probability value, tells you the statistical significance of a finding.
In most studies, a p value of 0.05 or less is considered statistically significant, but this threshold can also be set higher or lower depending on the context.
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Determine the y intercept (8grade
Answer:
its 4
Step-by-step explanation: