Derek bought a house for £140,000 and sold it for £145,500. To work out Derek's percentage profit, we need to use the formula:
Profit percentage = (Profit / Cost price) x 100%
Where:
Profit = Selling price - Cost priceIn this case, Derek's profit is:
Profit = £145,500 - £140,000 = £5,500Derek's cost price is £140,000.Substitute the values into the formula:
Profit percentage = (Profit / Cost price) x 100%Profit percentage = (£5,500 / £140,000) x 100%Profit percentage = 0.0393 x 100%Profit percentage = 3.93%Therefore, Derek's percentage profit is 3.93%.
~ Zeph
what is the null hypothesis two tailed test?
The null hypothesis in a two-tailed test states that there is no significant difference or relationship between two variables being compared.
In hypothesis, the invalid speculation is an assertion about the populace that expects there is no massive distinction or connection between two factors. In a two-followed test, the invalid speculation expresses that there is no distinction or connection between the two gatherings being looked at. The two-followed test is utilized when we are keen on testing whether the mean of an example is essentially not the same as the mean of a populace, without determining a course. For instance, a two-followed test might be utilized to test whether another drug affects pulse, without determining whether it will increment or lessening circulatory strain. The elective speculation in a two-followed test is that there is a huge contrast or connection between the two gatherings.
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Explain how the function compares to the parent function, f(x).
The function 1/5f(x) compares to the parent function f(x) given as follows:
Vertical shrink/compression by a factor of 1/4.
What are translation, shrink and stretch?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.For a vertical compression or stretch, the definitions are given as follows:
kf(x), |k| > 1 -> vertical stretch.kf(x), |k| < 1 -> vertical shrink.As k = 0.2 < 1, the transformation is a vertical shrink by a factor of 1/5.
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What is the conversion of 43kg in lbs ?
The mass converted value in the standard form using kilograms to pounds is given by ( 94.7988 ) pounds.
Kilograms and pounds represents such one of the standard unit help us to measure mass of any object.Standard formula which relates these two given quantities of mass are written as :
One kilogram is equivalent 2.205 pounds.
Now, substitutes the standard relation between the kilograms and the pounds to calculate the required value,
1 kilogram = 2.205 pounds
⇒ 43 kilograms = ( 43 ) × ( 2.205 ) pounds
⇒ 43 kilograms = ( 94.7988 ) pounds
Therefore, the converted value of 43 kilograms into the pounds is written as ( 94.7988 ) pounds.
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a heart-shaped curve traced around a point on the circumference of a circle rolling completely around an equal fixed circle is called___
The heart-shaped curve traced around a point on the circumference of a circle rolling completely around an equal fixed circle is called a "Cardioid."
A cardioid is a mathematical curve that is formed by tracing a point on a circle that rolls around another fixed circle. The term "cardioid" is derived from the Greek word "kardia," which means heart, as the curve resembles the shape of a heart. The cardioid curve has several interesting properties, including symmetry about a line called the "polar axis." The curve also has a "cusp" at the bottom point of the heart shape, where the curve changes direction abruptly. The length of the curve is four times the diameter of the rolling circle. Cardioids have applications in a variety of fields, including mathematics, physics, and engineering. They are used in the design of certain types of antennas, in the analysis of fluid flow, and in the study of planetary motion. They also have applications in the creation of heart-shaped designs in art and decoration. In summary, a cardioid is a heart-shaped curve that is formed by tracing a point on the circumference of a circle that rolls completely around an equal fixed circle. It has unique properties and applications in a variety of fields.
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If m and n are positive integers that satisfy the equation 3m^3= 5n^5 the smallest possible value for m+n
The two smaller positive integers are:
m = 675
n = 45
And the sum is 675
What is the smallest possible value of m + n?We know that we have two positive integers, m and n.
And we know that:
3*m³ = 5*n⁵
One way of finding the numbers is evaluating one of the two in positive integers, until we get that the other one is also an integer.
For example,we can solve this for m to get:
m³ = (5/3)*n⁵
m = ∛((5/3)*n⁵)
Now just evaluate in different integer values of n.
if n = 3 we will get:
m = ∛((5/3)*3⁵) = ∛(405) = 7.39
So this is not a solution.
Now I will use n = 45 = 5*3*3 (so all the exponents inside the cubic root are multiples of 3)
m = ∛((5/3)*(5*3²)⁵)
m = ∛(5⁶*3⁹) = 5²*3³ = 25*27 = 675
Then the sum is:
45 + 675 = 720
These is the smaller sum.
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What is 506 kilometers in miles?
In the case of converting 506 kilometers to miles, we get approximately 314.58 miles.
Distance is a physical quantity that refers to the amount of space between two objects or points. In the metric system, kilometers (km) are commonly used to measure distance, while miles (mi) are used in the imperial system. To convert kilometers to miles, we need to use a conversion factor.
The conversion factor for kilometers to miles is 0.621371. This means that one kilometer is equivalent to 0.621371 miles. To find out how many miles are in 506 kilometers, we need to multiply 506 by the conversion factor:
506 km x 0.621371 mi/km = 314.58 miles
Therefore, 506 kilometers is equal to approximately 314.58 miles.
In conclusion, distance can be measured in different units such as kilometers and miles. To convert between these units, we need to use a conversion factor.
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A square ,with sides of x cm is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 64 cm^2. Work out the value of x
When each vertex of the square is located on the circumference of the circle, each side of the square measures 5.971 cm.
what is square ?As per Geometry and trigonometry, a square has equilateral triangle sides and four equal angles, making itself an equilateral quadrilateral. Other name for it is a triangle with two adjacent vertices that are the same length. An equilateral quadrant is one that has four equal ends and four equal angles, like a square. Angles that are 90 degrees or straight are square angles. The downtown's diagonals are also split at a right angles and are evenly spaced. a rectangle with approximately consecutive sides that is adjacent. a trapezoid with four equal sides and straight angles on all four sides. a parallelogram with two adjacent sides that seem to be equal and make a right angle. rhombus has straight sides.
given
If the square perfectly fits the circle, then the circle's diameter is the same as the square's diagonal. The square's diagonal also has a length of cm because each side of the square is cm long. The square's diagonal can be determined using the area of the circle, as shown below:
area = [tex]\pi[/tex]*r *r
r*r = 56/pi
r = 4.22
As the square's diagonal and the circle's diameter are equal, x = 5.971 cm.
When each vertex of the square is located on the circumference of the circle, each side of the square measures 5.971 cm.
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What is the value of X and Y?
The length of the sides x and y of the right-angled triangle are both equal to 9m using the trigonometric ratio of sine and cosine of angle 45°
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the right-angled triangle, we shall calculate for the length x and y by application of the trigonometric ratio of sine and cosine for the angle 45°.
sin 45° = y/9√2 {opposite/hypotenuse}
by cross multiplication
y = 9√2 × sin 45°
recall that sin 45° = √2/2
y = 9√2 × √2/2
y = 9m
cos 45° = x/9√2 {adjacent/hypotenuse}
by cross multiplication
x = 9√2 × cos 45°
recall that cos 45° = √2/2
x = 9√2 × √2/2
x = 9m
Therefore, the length of the sides x and y of the right-angled triangle are both equal to 9m using the trigonometric ratio of sine and cosine of angle 45°.
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a bag contains 6 white marbles and 4 black marbles. a marble is drawn from the bag and then a second marble is drawn without replacing the first one.
What is the probability of drawing a white marble on the first draw and another white marble on the second draw?
The probability of drawing a white marble on the first draw and another white marble on the second draw is 1/3.
What is probability?Probability theory is an area of mathematics that examines random events. A random event's outcome cannot be predicted before it happens, although it could take any of several different forms. The final result is thought to have been determined by chance.
In everyday speech, the word "probability" has numerous meanings. For the growth and applicability of the mathematical theory of probability, two of these are particularly crucial. One is the representation of probabilities as relative frequencies, which is illustrated by examples from basic teams playing coins, cards, dice, and roulette wheels.
Given that, a bag contains 6 white marbles and 4 black marbles. a marble is drawn from the bag and then a second marble is drawn without replacing the first one.
The total number of balls = 10 marbles.
The probability of drawing a white marble on first draw = 6/10.
The probability of drawing a white marble on the second draw = 5/9.
The probability of drawing a white marble on the first draw and another white marble on the second draw is:
6/10 × 5/9 = 30/90 = 1/3
Hence, the probability of drawing a white marble on the first draw and another white marble on the second draw is 1/3.
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The equation can be used to find q, the number of quarters equal to 60 dollars.
q over 4 equals 60
How many quarters are equal to 60 dollars?
Answer:
15
Step-by-step explanation:
q/4=60
Just divide 60 by 4. :)
find the surface area of the above solid a.81cm b.78cm c.84m d.72cm
mr. jericho needs to teach his students how to make change. vygotsky would recommend that he:
Mr. Jericho needs to teach his students how to make change. Vygotsky would recommend that he set up a pretend shop and have all of the students act as cashiers in it.
One of the four methods of teaching is the interactive or participative method of teaching. In this method, students are taught certain stuff with the use of hands-on techniques. These include acting out whatever is being taught so that students have a better view of whatever is happening around them.
This method is quite useful and this is exactly what Vygotsky suggested for the students in the class in the very first place.
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∠A and
∠
B
∠B are vertical angles. If m
∠
A
=
(
7
x
+
4
)
∘
∠A=(7x+4)
∘
and m
∠
B
=
(
8
x
−
20
)
∘
∠B=(8x−20)
∘
, then find the measure of
∠
B
∠B.
The measure of angle B is given as follows:
m < B = 172º.
What are vertical angles?Vertical angles are angles that are opposite by the same vertex in crossing segments, and these angles are congruent, meaning that they have the same measure.
For this problem, angles A and B are congruent, hence the value of x is obtained as follows:
8x - 20 = 7x + 4
x = 24.
Hence the measure of angle B is obtained as follows:
m < B = 8(24) - 20
m < B = 172º.
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please show work!!
i’ll give enough points!!
Find the difference of the following polynomials. Arrange the terms in descending powers of the variable.
Subtract-4+38² from 7a-a².
O-4a2+7a+4
O4a2+7a+4
O-4a2-7a+4
O-4a2-7a-4
Answer:
-4a² + 7a + 4
Step-by-step explanation:
Subtract -4 + 3a² from 7a - a².
(7a - a²) - (-4 + 3a²) =
= 7a - a² + 4 - 3a²
= -4a² + 7a + 4
Use the trapezoid shown to mark each statement below as true or false. 10 If false, rewrite the statement correctly in the space below the statement. 4. The length of AB can be found using 32 + b² = 4². 5. The perimeter of the trapezoid shown is 22 units.
The statement is false, the perimeter of the trapezoid shown is 23 units
How to find the perimeter of a trapezoid?To find the perimeter of a trapezoid, you need to add the lengths of all four sides of the trapezoid.
A trapezoid is a four-sided figure with two parallel sides (the bases) of different lengths. The other two sides are called the legs.
The formula for the perimeter of a trapezoid is:
Perimeter = sum of all sides = base1 + base2 + leg1 + leg2
where base1 and base2 are the lengths of the parallel sides and leg1 and leg2 are the lengths of the non-parallel sides.
So, to find the perimeter of a trapezoid, you need to measure or know the length of all four sides and then add them up using the formula above.
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Use the trapezoid shown to mark each statement below as true or false. if false, please rewrite the statement correctly in the space below the statement!
Q: The perimeter of the trapezoid shown is 22 units.
True false?
Please Help me for 30 points
The answer to 1/5 + 2/5 is 3/5
please help me for 30 points !!
Answer:
i believe its C
Sorry if its wrong
Step-by-step explanation:
Answer:
(C) 1/6 + 3/6
Step-by-step explanation:
If you want to add fractions all you do is add them across to get your sum.
What is the area of the trapezoid?
17.4 m2
20.3 m2
40.6 m2
69.6 m2
Answer: 40.6
Step-by-step explanation:
first you write the formula (a= a+b divided by 2 times h)
11+3 divided by 2 times 5.8
14 divided by 2 = 7 times 5.8
The correct answer is 40.6
Write an expression for thr measure of the given angle
The expression for the measure of the given angle in the image of the circle with center O is [tex]\frac{arc UZW}{2}[/tex].
Remember that the angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference. According to this, we can deduce the following expression for the measure of the given angle:
[tex]m\angle UXY = \frac{arc UZW}{2}[/tex]
An angle is a figure in Plane Geometry generated by two rays or lines that share a common endpoint. The term "angle" is derived from the Latin word "angulus," which meaning "corner". The two rays are referred to as the sides of an angle, while the common terminus is referred to as the vertex. The angle in the plane does not need to be in Euclidean space.
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Nicole and Alberto are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and packages of crocus bulbs. Nicole sold 7 packages of tulip bulbs and 7 packages of crocus bulbs for a total of $63. Write the equation to represent Nicole's sales. Alberto sold 14 packages of tulip bulbs and 1 pacage of crocus bulbs for a toal of $61. Write the equation to represent Alberto's sales. (Use the variables T and C) Find the cost of tulip bulb packages Find the cost of crocus bulb packages
Cost can refer to the amount of money or resources used in the production of a good or service, or the amount of money or resources used in the completion of a project. Generally, cost is the total amount of money or resources required to do something. Cost can be calculated by adding up the costs of each resource used or by multiplying the quantity of each resource used by the cost of that resource. Cost can also be determined by using a cost estimating technique, such as a cost-benefit analysis.
Nicole's equation: 7T + 7C = 63
Alberto's equation: 14T + C = 61
Cost of tulip bulb packages = (63 - 7C) / 7
To calculate the cost of tulip bulb packages, take the total amount of Nicole's sales ($63) and subtract the cost of the crocus bulb packages (7C). Then we divide the result by the number of tulip bulb packages (7).
Cost of crocus bulb packages = (61 - 14T) / 1
To calculate the cost of crocus bulb packages, take the total amount of Alberto's sales ($61) and subtract the cost of the tulip bulb packages (14T). Then we divide the result by the number of crocus bulb packages (1).
Cost of tulip bulb packages = $8.71
Cost of crocus bulb packages = $4.43
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Connie is buying snacks for a hike. She purchased a bag of trail mix for $6.98 and a large bottle of water for $2.15.
what is Connies total bill
Connie's total bill is 9.13$
Graph the following function: G(x)=3/4•2^x
You can do this on the desmos graph
Complete the following two column proof
The statements and reasons to complete the two column proof are given in the explanation.
What are similar triangles?Two triangles will only be similar if on comparing the corresponding length of their sides, there exist some common properties or relations. Though the triangles are similar, but not congruent.
The expected statements and reasons to complete the two column proof are:
STATEMENT REASON
1. LQ II NP Given
2. <Q ≅ <N Alternate interior Angles
3. <L ≅ <P Alternate Interior Angles
4. ΔLMQ ~ ΔPMN Two pairs of corresponding angles are equal
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2. Is the set of rational expressions closed under multiplication? Explain
(p(x)/q(x)) (r(x)/s(x))
Answer:
Yes, the set of rational expressions is closed under multiplication.
Step-by-step explanation:
A rational expression is a fraction of polynomials, where the numerator and denominator are both polynomials with coefficients in some field, such as rational numbers. When we multiply two rational expressions, we reproduce two fractions of polynomials.
To multiply two fractions, we multiply their numerators and denominators separately and then simplify the result if possible. When we multiply the numerators and denominators of two rational expressions, we get new polynomials, which are still polynomials with coefficients in the same field. Therefore, the multiplication result is still reasonable, and the set of rational expressions is closed under multiplication.
For example, consider the following two rational expressions:
(a + 1) / (b + 2) and (c - 3) / (d - 4)
Their product is:
[(a + 1) / (b + 2)] * [(c - 3) / (d - 4)]
= (a + 1)(c - 3) / (b + 2)(d - 4)
The result is still rational since the numerator and denominator are both polynomials with coefficients in the same field. Therefore, the set of logical expressions is closed under multiplication.
Stella has $4.50 worth of dimes and quarters. She has 3 more dimes than quarters. Determine the number of dimes and the number of quarters that Stella has.
Answer:
12 quarters, 15 dimes
Step-by-step explanation:
Let q be the number of quarters and d be the number of dimes. We set up and solve this system of equations:
.10d + .25q = 4.50
d = 3 + q
.10(3 + q) + .25q = 4.50
.30 + .10q + .25q = 4.50
.30 + .35q = 4.50
.35q = 4.20
q = 12, d = 15
Please answer ASAP!!!
Answer:
answer asap!!!!!!!!!!!
Hey, I’m not sure how to do clue number 5, im rly rly sorry, but I’ve shown how to do #6 below, hope this helped :
f(x) = a(1+r)^x
f(x) = 320(1+ 0.042)^x
f(60) = 320 ( 1 + 0.042)^60
f(60) = 3778
answer : 3778
Original equation:
3(a-2) + 14 =8-6a
Solution: 3a-2+14-8-6a
3a +12=8-6a
9a + 12 = 8
9a = -4
a = -4/9
so what do you need help with
Triangle cde is dilated by a scale factor of 2 to form triangle CDE . Side EC measures 86.
Since triangle CDE is dilated by a scale factor of 2 to form triangle CDE, the measure of side EC is equal to 43 units.
What is scale factor?In Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):
Scale factor = Dimension of image (new figure)/Dimension of pre-image(original figure)
Substituting the given parameters into the scale factor formula, we have the following;
Scale factor = Dimension of image/Dimension of pre-image
2 = 86/side EC
Side EC = 43 units.
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Complete Question:
Triangle CDE is dilated by a scale factor of 2 to form triangle CDE . Side E'C' measures 86. What is the measure of side EC?
What’s the answer and what do the transformations look like on the graph?
Transformations on a graph refer to changes made to the graph that affect its appearance or position without changing its underlying structure or properties.
How to explain the transformationSome common transformations on a graph include:
Translation: This involves shifting the entire graph horizontally or vertically without changing its size or shape. For example, if a point on the graph is originally located at (2,3), a translation by (4,-1) would move it to (6,2).
Scaling: This involves enlarging or shrinking the entire graph uniformly in all directions. For example, a scaling factor of 2 would double the distance between all points on the graph, while a scaling factor of 0.5 would halve it.
Reflection: This involves flipping the graph across an axis, such as the x-axis or y-axis. Reflections can also be performed across other lines, such as y = x or y = -x.
An overview on transformation was given as the information is incomplete.
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