Answer:
$600
Step-by-step explanation:
The bike is $800
if the bike cost 3/4 of regular price then you multiply $800 * (3/4)
3/4 = .75
$800 * .75 = $600
Sale price is $600
Help I really need in this
1. What is square root and cube root function?
2. Who discovered square root and cube root function?
3. Where is square root and cube root function used in real life?
Answer:
Step-by-step explanation:
1.The square root function is a mathematical function that returns the positive number that, when multiplied by itself, gives the original number. It can be represented using the symbol √ or using the exponent 1/2. The cube root function is a mathematical function that returns the number that, when multiplied by itself three times, gives the original number. It can be represented using the symbol ∛ or using the exponent 1/3.
2.The ancient civilizations of Babylonia, Greece, and India all independently discovered the square root function. The concept of cube root was first mentioned in the ancient Indian text "Sulbasutras" around 800 BCE. The Greek mathematician Euclid also described the cube root function in his work "Elements" around 300 BCE.
3.The square root function is used in many areas of mathematics and science, including geometry, trigonometry, and physics. In real life, square root functions are used in many areas such as engineering, architecture, and finance. For example, in engineering, square root functions are used to calculate the stress and strain on materials. In architecture, square root functions are used to calculate the area of a building or room. In finance, square root functions are used to calculate the volatility of an asset. Similarly, cube root function is used in mathematics, physics, engineering, economics, and other fields. It is used to find the cube root of a number, to find the volume of a cube, to solve equations, and to calculate the cube root of a complex number.
a If you have 2/3 of your first 18-egg carton full, how many more eggs will fit in that
carton? What fraction card will you need to draw to fill the first carton exactly?
Answer:
6 eggs
Step-b6y-step explanation:
18 - (18× 2/3) = 6
●●●●●●/●●●●●●/○○○○○○
Wich is the correct ratio representation of the books to pens?
Answer:
6/5
Step-by-step explanation:
There is 6 books and there is 5 pens, ans since it is books to pens you put the number of books on top and the number of pens on the bottom.
Solve for x. -4(-2x - 2) + x - 2 = -48
Answer:
x = -5.7778
Step-by-step explanation:
1) 8x + 8 + x -2 = 48 (You multiply the -4 into both -2x and -2, thus getting rid of the brackets)
2) 9x + 6 = -48 (Add the two values of x (8x + x) and then subtract the 2 from 8 = 6)
3) 9x =-46 - 6 (Move the 6 mover, which will change its sign from a (+) to a (-6))
4) 9x = -52 (Do the expression, and you get -52)
5) x = -52 / 9 (Isolate the x, by dividing both sides by it)
6) x = -5.7778 (Round the answer)
Relative to the cave opening, what integer represents the depth of the second
climber?
Answer:
what is the depth
Step-by-step explanation:
a mersenne prime is a prime n of the form 2k − 1 for some integer k. prove that all mersenne primes greater than 3 have the following
Our assumption that there exists a Mersenne prime greater than 3 with a composite k value must be false. All Mersenne primes greater than 3 must have a corresponding prime integer k.
All Mersenne primes greater than 3 have the following property: their corresponding integer k must also be prime. This can be proven using a proof by contradiction.
Assume there exists a Mersenne prime greater than 3 with a composite k value. This means that k can be expressed as the product of two integers, p and q, both greater than 1.
We can then substitute 2pq − 1 for n in the equation for a Mersenne prime (n = 2k − 1), giving us:
n = 2k − 1
n = 2pq − 1
We can then factor this expression as:
n = (2p + 1)(2q − 1)
Since p and q are both greater than 1, we know that (2p + 1) and (2q − 1) are both greater than 2. This means that n has factors other than 1 and itself, which contradicts the definition of a prime number.
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a mersenne prime is a prime n of the form 2k − 1 for some integer k. prove that all mersenne primes greater than 3 have the following____________
Given : tan A =4/3, find : cosec A / cot A - sec A
The value of cosec A / cot A - sec A, we'll first express cosec A, cot A, and sec A in terms of the given value of tan A.The value of cosec A / cot A - sec A, using the given value of tan A = 4/3, is 1 + √(9/7)/3.
We know that cosec A is the reciprocal of sin A, and sin A is the reciprocal of cosec A. Similarly, cot A is the reciprocal of tan A, and sec A is the reciprocal of cos A.
Using the Pythagorean identity, sin^2 A + cos^2 A = 1, we can find the value of cos A. Since tan A = 4/3, we can find sin A as well.
Given:
tan A = 4/3
Using the Pythagorean identity:
sin^2 A + cos^2 A = 1
We can solve for cos A as follows:
(4/3)^2 + cos^2 A = 1
16/9 + cos^2 A = 1
cos^2 A = 1 - 16/9
cos^2 A = 9/9 - 16/9
cos^2 A = -7/9
Taking the square root of both sides, we get:
cos A = ± √(-7/9)
Since cos A is positive in the first and fourth quadrants, we take the positive square root:
cos A = √(-7/9)
Now, using the definitions of cosec A, cot A, and sec A, we can find their values:
cosec A = 1/sin A
cot A = 1/tan A
sec A = 1/cos A
Substituting the values we found:
cosec A = 1/sin A = 1/√(1 - cos^2 A) = 1/√(1 - (-7/9)) = 1/√(16/9) = 1/(4/3) = 3/4
cot A = 1/tan A = 1/(4/3) = 3/4
sec A = 1/cos A = 1/√(-7/9) = -√(9/7)/3
Now, let's calculate the expression cosec A / cot A - sec A:
cosec A / cot A - sec A = (3/4) / (3/4) - (-√(9/7)/3)
= 1 - (-√(9/7)/3)
= 1 + √(9/7)/3
Therefore, the value of cosec A / cot A - sec A, using the given value of tan A = 4/3, is 1 + √(9/7)/3.
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what is the meaning of interval [a,b]
Answer:
Step-by-step explanation:
interval in mathematics stands for a set of real numbers,
denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.
thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.
complete the two-column proof below.
Answer:
Step-by-step explanation:
Bag contains fewer than 90 lollipops it is possible to evenly divide all of the lollipops among 2, or 6, or 7 children. how many lollipops are in the bag? list all possible answers
Tyler's mom purchased a savings bond for Tyler. One year after it was purchased, the value of the savings bond was $156. If the value of the savings bond increases by 4% after one year, what was the value of the bond when Tyler's mom purchased it?]
Answer:
$149.76
Step-by-step explanation:
What would happen to property
crimes (dependent variable) if % in
poverty (independent variable)
increased?
A.increase
B. Decrease
Answer:
A
Step-by-step explanation:
Please help me ASAP!!
Answer:
x=30
Step-by-step explanation:
So we know that a shape with 4 angles equal 360 degrees and this has 4 angles. Since we know that 4x is one and 2x is one We cna use the vertical angles to find the other two. Since 4x is opposite of an unknown side it is also 4x becuase vertical angles are equal becuase they are opposite sides of each other. Same thing with 2x
Now add them all up
4x+4x+2x+2x which will equal 12x
now 12x=360
x=30
Please answer the following questions correctly.
Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C
Translation and transformationTranslation is the transformation technique of changing the position of an object on the xy-plane.
Give the parent function f(x) = x^2, if the parent function is translated to the right by 4 units (along the horizontal), the resulting function h(x) will be (x+4)^2
Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C
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Find the sixth term of the geometric sequence when a4=−8 and r=0. 5
Simplify the expression. 1.7 – 2.7 – 1.34 + 4.9 – 1.48
please explain I'm lost
Answer:
Step-by-step explanation:
1.7 - 2.7 - 1.34 + 4.9 - 1.48
First we can group the positive and negative numbers
1.7 + 4.9 - 2.7 - 1.34 - 1.48
add the positive numbers then add the negative numbers
1.7 + 4.9 becomes 6.6
-2.7 - 1.34 - 1.48 becomes - 5.52
Now add both the answers
6.6 + (- 5.52) = 1.08
Hope this helps
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Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
Answer:
? = 120°
Step-by-step explanation:
the central angle is the same as the arc that subtends it , that is
? = 120°
Help me, please! I need this today!!
Answer:
5A)36 5b)30(mark as brainliest)
Step-by-step explanation:
5a)6+6+6+6+12 = 36
5b)36-8=28
28+2 = 30
Answer:
a: The answer is 36 units squared
b: You would lose four square units
Step-by-step explanation:
a: You can count the pieces showing, but you also have to add the amount you cannot see, which would give you a total of 36 units squared (since it doesn't say what each unit is represented by
b: The bottom pieces that originally were not showing would now be showing, but you would lose the ones above it. These cancel out from each other. There are 4 other sides that are now no longer showing since the others that are still showing still were anyways, so there are 4 units squared missing from the surface area when you remove the top two blocks.
et X be a random variable with pdf fX (x) = {x/4 1 Less then or x Less than or 3 0 otherwise, and let A be the event {X Less than or 2} Find E[X], P (A), f_X|A (x), E[X|A]. Let Y = X^2. Find E[Y] and var (Y).
E[X] = 11/12, P(A) = 1/2, E[X|A] = 4/3
fX|A (x) = {2/3 0 Less then or x Less than or 2 0 otherwise
E[Y] = 4/3, var(Y) = 4/5
What are the expected value and probability of event A, and how are they affected by the condition X<2?The expected value of X, denoted as E[X], can be calculated by integrating the product of the random variable X and its probability density function (pdf) fX(x) over its entire range. In this case, the pdf is defined as fX(x) = x/4 for 1 ≤ x < 3 and 0 otherwise. Integrating x*(x/4) over the range [1, 3] yields E[X] = 11/12.
The probability of event A, denoted as P(A), can be determined by integrating the pdf fX(x) over the range where X < 2. Since fX(x) is equal to x/4 for 1 ≤ x < 2 and 0 otherwise, integrating (x/4) over the range [1, 2] gives P(A) = 1/2.
The conditional pdf fX|A(x) represents the probability density function of X given the event A has occurred. In this case, when A occurs (X < 2), fX|A(x) is equal to 2/3 for 0 ≤ x < 2 and 0 otherwise.
The expected value of X given event A, denoted as E[X|A], can be calculated by integrating the product of X and fX|A(x) over its range. Integrating x*(2/3) over the range [0, 2] yields E[X|A] = 4/3.
The random variable Y is defined as the square of X. To find E[Y], we need to calculate the expected value of Y. Since Y = X^2, we can use the linearity of expectation and compute E[Y] as E[X^2]. From the previously calculated E[X], E[Y] is equal to (11/12)^2 = 121/144.
The variance of Y, denoted as var(Y), can be calculated using the formula var(Y) = E[Y^2] - (E[Y])^2. Since we have already calculated E[Y], we need to find E[Y^2]. Since Y = X^2, E[Y^2] is equivalent to E[X^4]. However, we do not have enough information about the higher moments of X to directly compute E[X^4]. Therefore, we cannot determine the exact value of var(Y) without additional information.
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help plsssssssssss tyyy
Answer:
Associative property of addition!
Step-by-step explanation:
You have to add the numbers a lot!!
Commutative property is the answer Bec of addition says that the change in order of numbers in addition will not change the result.
Therefore, for variable x and y the commutative property of addition is x+y=y+x.
Consider a line process with 3 processing stages. The production requires each unit to go through Stage A through Stage C in sequence. The characteristics of the Stages are given below: Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100% Determine the system capacity. Which stage is the bottleneck? What is the utilization of Stage 3.
The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.
A line process has three processing stages with the characteristics given below:
Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%
To determine the system capacity and the bottleneck stage and utilization of Stage 3:
The system capacity is calculated by the product of the processing capacity of each stage:
1 x 1 x 2 = 2 units per minute
The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:
Process time per unit = 1 + 2 + 3 = 6 minutes per unit
Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit
The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.
However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.
Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.
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You are looking at 1,000 square feet of space in a new building. The cost is $10 per square foot per year. What will the space cost you per MONTH
The space would cost at, $833.34 per month.
:: Total area = 1000 square feet
:: Cost per feet per year = $10
Therefore,
Total cost per year would be, equal to the product of total area and cost per unit area per year.
That is,
Total cost per year = 1000 x $10
That is, $10,000.
Now, we know, there are 12 months in an year.
So, cost per month is, ( total cost per year / 12 )
That is, therefore,
Cost per month = ($10,000 / 12)
Which equals to, $833.34 per month. (rounded off)
So,
The space cost at, $833.34 per month.
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The space cost you $833.33. per MONTH
To calculate the monthly cost, we first need to determine the annual cost of the space.
Given that the cost is $10 per square foot per year, we know, there are 12 months in an year and the space is 1,000 square feet, the annual cost of the space would be:
Annual cost = the space * cost
Annual cost = 1,000 square feet * $10/square foot = $10,000
To convert this to monthly cost, we divide the annual cost by 12 (the number of months in a year):
Monthly cost = $10,000 / 12 = $833.33
Therefore, the monthly cost of the 1,000 square feet of space in the new building would be $833.33.
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Which best describes the structure outlined in the bridge. It is a parallelogram because it has one pair of opposite sides that is parallel. It is a parallelogram because it has exactly one pair of opposite sides that is congruent. It is a trapezoid because it has exactly one pair of opposite sides that is congruent. It is a trapezoid because it has exactly one pair of opposite sides that is parallel.
The statement describing the structure outlined in the bridge is '' It is a trapezoid because it has exactly one pair of opposite sides that is parallel''.
Given thatA bridge is shown.
A quadrilateral is outlined. It has one pair of opposite sides that are parallel.
We have to determine
Which best describes the structure outlined in the bridge.
According to the questionA bridge is shown.
A quadrilateral is outlined. It has one pair of opposite sides that are parallel.
A Parallelogram is a quadrilateral having opposite sides parallel and congruent.A trapezoid is a quadrilateral having one pair of opposite sides parallel.Hence, the statement describing the structure outlined in the bridge is '' It is a trapezoid because it has exactly one pair of opposite sides that is parallel''.
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Answer:
D. It is a trapezoid because it has exactly one pair of opposite sides that is parallel.
Step-by-step explanation:
a square has a perimeter of 60 yd. what is the length of each side ?
Answer:
\(\large\boxed{\tt Length \ Of \ Each \ Side = 15 \ yd.}\)
Step-by-step explanation:
\(\textsf{We are asked to find the sides of a Square, given the Perimeter.}\)
\(\large\underline{\textsf{What is a Square?}}\)
\(\textsf{A Square is a Quadrilateral with 4 congruent sides. This means that the Perimeter}\)
\(\textsf{is multiplied by 4.}\)
\(\large\underline{\textsf{What is Perimeter?}}\)
\(\textsf{Perimeter is the sum of all the edges of a shape. Think of Perimeter as the length}\)
\(\textsf{of a whole fence that is connected.}\)
\(\underline{\textsf{How are we able to find Perimeter?}}\)
\(\textsf{Perimeter is the sum of all the sides of a shape. This means that;}}\)
\(\tt Perimeter= All \ Sides \ Added \ Together\)
\(\underline{\textsf{For our problem;}}\)
\(\textsf{A Square has 4 congruent sides. This means that;}\)
\(\tt Perimeter=4 \times (Length \ Of \ Sides)\)
\(\large\underline{\textsf{Solving;}}\)
\(\tt Perimeter=4 \times (Length \ Of \ Sides)\)
\(\textsf{We are given that 60 yd. is the Perimeter.}\)
\(\tt 60 \ yd.=4 \times (Length \ Of \ Sides)\)
\(\textsf{Finding the lengths of all the sides is simple. We should remove the 4 from the right}\)
\(\textsf{side of the equation. To do so, we should use the Inverse Operation of Multiplication}\)
\(\textsf{which is Division. There is a property that allows us to manipulate equations as such.}\)
\(\textsf{The \underline{Division Property of Equality} states that when 2 equal expressions are divided}\)
\(\textsf{by the same constant, then both expressions will still be equal.}\)
\(\textsf{Let's use the Division Property of Equality to find the length of each side.}\)
\(\underline{\textsf{Divide each expression by 4;}}\)
\(\tt \frac{60 \ yd.}{4} =\frac{\not{4} \times (Length \ Of \ Sides)}{\not{4}}\)
\(\large\boxed{\tt Length \ Of \ Each \ Side = 15 \ yd.}\)
7
77 watermelons cost
$
8.96
$8.96dollar sign, 8, point, 96.
Which equation would help determine the cost of
5
55 watermelons?
Answer:
A
Step-by-step explanation:
7=8.96
5=??
(5×8.96)÷7= 6.4
which is shown by A
In parallelogram ABCD, points E and F are the midpoints of side AB and BC, respectively. A F meets DE at G and BD at H. What is the area of quadrilateral BHGE if the area of ABCD is 60?
Answer:
The area of the quadrilateral B-H-G-E is 7
Step-by-step explanation:
The area of the parallelogram = 60
It can be shown that ΔG-D-F = 3/10 × Area of the parallelogram S = 3/10×S
Because the diagonal B-D shares A-F into the ratio 1:2, the ΔH-D-A = 2/3×ΔD-B_A where ΔD-B_A = 1/2·S, therefore, ΔD-B_A = 2/3×1/2×S = 1/3×S
ΔB-F-H is similar to ΔD-B_A scaled to 1/2,
Therefore;
The area of ΔB-F-H = 1/4×Area of ΔD-B_A = 1/4×1/3×S = 1/12×S,
ΔF-C-D = 1/4×S
ΔE-A-D = 1/4×S
The area of the quadrilateral B_H_G_E found as follows;
Area B_H_G_E = S - (ΔF-C-D + ΔG-D-F +ΔE-A-D +ΔB-F-H)
Area B_H_G_E = S - (1/4×S + 1/10×S +1/4×S +1/12×S) = S - 53/60×S = 7/60×S
Whereby we are given that the area, S of the parallelogram AB-CD = 60 we have;
Area B_H G_E = 7/60×60 = 7
Solve the equation and provide all steps ¾ x+2¼ =9
Answer:
x=9
Step-by-step explanation:
3/4x+2 1/4=9
3/4x=9-2 1/4
3/4x=6 3/4
4(3/4x)=4(6 3/4)
3x=27
x=9
Answer:
x = 9
Step-by-step explanation:
3/4 x + 2 1/4 = 9 subtract 2 1/4 from both sides of the equation
3/4 x = 6 3/4 now divide both sides by 3/4
x = 9
Out of 290 racers who started the marathon, 272 completed the race, 15 gave up, and 3 were disqualified. What percentage did not complete the marathon?
Answer:
6% of the racers did not ocmplete the marathon
Step-by-step explanation:
290 racers
272 completed the race
15 + 3 = 18 did not complete the race
\(\frac{272}{290}\) = 0.94 = 94%
\(\frac{18}{290}\) = 0.06 = 6%
Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent. 100 points!!!
Step-by-step explanation:
4 × 11 = 44
44 × 9 = 396
therefore it is 396ft
Answer:
4 x 11 = 44
44 x 9 = 396
It will be 396 ft
Step-by-step explanation:
en una tienda de ropa, la semana pasada, 3 pantalones y 2 abrigos costaban 245€. Esta semana estos artículos tienen un descuento del 20% y 5% respectivamente. Si ahora un pantalón y un abrigo cuestan 100,75€, ¿qué costaba cada artículo antes de la rebaja?
Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37
How to find the original cost?
Let's define the variables:
x = cost of a pant
y = cost of a coat.
First, we know that:
3x + 2y = 245
And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:
0.8x + 0.95y = 100.75
Then we have a system of equations:
3x + 2y = 245
0.8x + 0.95y = 100.75
We can isolate x on the second equation to get:
x = (100.75 - 0.96y)/0.8
x = 125.9 - 1.2y
Replace that in the other equation:
3*(125.9 - 1.2y) + 2y = 245
Solving for y:
3*125.9 - 3*1.2y + 2y = 245
y*(2 - 3*1.2) = 245 - 3*125.9
y = (245 - 3*125.9)/(2 - 3*1.2)
y = 82.94
Then the value of x is:
x = 125.9 - 1.2*82.94
x = 26.37
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