Last year, the school made a field area for gym with a width of 3 meters and an area of 27 square meters. This year, the school wants to make the gym field area two times as long and two times as wide. What is the length of this years field? The length of this years field is _____ meters.
Answers
Answer: The length of this years field is 18 meters.
Step-by-step explanation:
GIven: For field,
Width = 3 meters, Area = 27 square meters
Area of rectangular field = Length x width
So, 27 = Length x 3
⇒ Length = \(\dfrac{27}{3}=9\)
Hence, the length of field last year = 9 m
If this year, the school wants to make the gym field area two times as long and two times as wide.
So, length = 2 x ( previous length) = 2 x ( 9 m) = 18m
Hence, the length of this years field is 18 meters.
Related Questions
E.J. calls people at random to conduct a survey. So far, 40 calls have been
answered and 120 calls have not been answered. What is the approximate
probability that someone answers the next call he makes?
O A. 75%
ОВ. 0.4
C.
D. 0.25
PLEASE HELP I DONT HAVE MUCH TIME
Answers
Answer:
0.25
Step-by-step explanation:
Answer:
The Correct Answer Is D. 0.25 I Did The Exam
Step-by-step explanation:
Cindy struck out 7, 14, 6, 4, 5, and 6 batters in softball games this season. In discussingher stats with a newspaper reporter, Cindy's coach mentions that the average number ofCindy's strikeouts is 7. Is the coach's statement misleading? Explain why or why not.O No; the mean of her strikeouts is 7.O None of the other answers are correctO Yes, she struck out 7 batters only one time.O No; she typically strikes out 7 batters in a game.O Yes; the median of her strikeouts is 7.
Answers
Given that the batters were 7, 14,6,4,5 and 6 then to find the average, you add the batters and divide by their number
\(\text{sum}=7+14+6+4+5+6=42\)\(\text{Average}=\frac{42}{6}=7\)Here you notice that the average is 7, so the coach's statement is true.
Your answer is , No;the mean of her strikeouts is 7
2^x=7; evaluate 4^(x-1)
Answers
Answer:
\(\sf \dfrac{49}{4}\)
Step-by-step explanation:
Exponent law:\(\sf \dfrac{a^m}{a^n} =a^{m-n}\)
\(\sf 4^{x-1}=\dfrac{4^x}{4^1}\)
Write the expression 4ˣ with base 2.
We know that 4 = 2².
\(\sf \dfrac{4^x}{4}=\dfrac{2^{2x}}{4}\\\\\)
\(\sf= \dfrac{(2^x)^2}{4}\\\\\ = \dfrac{7^2}{4}\\\\=\dfrac{49}{4}\)
Intuitively, does it make sense that all circles are similar? Why or why not?
Answers
Answer with explanation:
Yes, each point on a circle is a fixed distance from the center of the circle. This is called the radius of the circle. By definition, all radii of a circle are equal.
Similar polygons have corresponding sides in similar proportion. Regardless of how large a circle is, each point on the circle will still be a fixed distance away from center of the circle. Therefore, the radii are in a constant proportional and all circles are similar.
.Suppose that a particle moves along a straight line with velocity v(t) = 7 - 5t, where 0
Answers
As the acceleration is a constant quantity, it's the same for all values of t, and therefore the motion is uniformly accelerated motion (UAM).
Thus, the particle is moving along a straight line.
Given, velocity function v(t) = 7 - 5t.
Here, a = -5
Since, acceleration is the derivative of velocity function.
Therefore,
acceleration, a(t)
= dv(t)/dt
= d/dt (7 - 5t)
= -5
On integrating, we get velocity function v(t) = 7 - 5t.
And, on integrating again we get distance function as the antiderivative of velocity function, that is,
s(t) = ∫v(t)dt
= ∫ (7 - 5t)dt
= 7t - (5/2)t² + C,
where C is the constant of integration.
Using the given initial condition s(0) = 5,
we have
5 = 7(0) - (5/2)(0)² + C
= C
On substituting C = 5,
we get s(t) = 7t - (5/2)t² + 5.
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The displacement of the particle from t = 0 to t = 2 is 4 units.
To find the displacement of the particle over the given time interval,
we need to integrate the velocity function with respect to time.
The velocity function is given as v(t) = 7 - 5t, where 0 < t < 2.
To find the displacement, we integrate v(t) with respect to t:
s(t) = ∫(v(t)) dt
s(t) = ∫(7 - 5t) dt
s(t) = 7t - (5/2)t² + C
To find the definite integral from t = 0 to t = 2, we substitute the upper and lower limits:
s(2) - s(0) = (7(2) - (5/2)(2)²) - (7(0) - (5/2)(0)²)
s(2) - s(0) = (14 - (5/2)(4)) - (0 - 0)
s(2) - s(0) = 14 - 10 - 0
s(2) - s(0) = 4
Therefore, the displacement of the particle from t = 0 to t = 2 is 4 units.
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Julie sold her vacation home during the tax year. julie purchased the property in 2007 for
$236,500 and sold the property for $429,000. julie paid $5,250 to add a deck onto the home
in 2010. in 2012, a flood caused $25,000 of damage, which she paid out-of-pocket to restore
the property. julie did not have flood insurance and was able to claim a $4,100 casualty loss
on her itemized deductions that year. what amount of gain from the sale would be reported
on her return?
Answers
Based on the cost of the property to Julie in 2007 and the various costs incurred since then, the amount of gain would be $166,350.
What is the gain on the property?First find cost Julie has incurred in total:
= 236,500 + 5,250 + 25,000 - 4,100
= $262,650
The gain is therefore:
= Selling price - Total cost incurred
= 429,000 - 262,650
= $166,350
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Look in picture!! Please!! URGENT!!
Answers
Answer: The value of x is x=5
Step-by-step explanation:
x/12.5=2/5
x=(12.5)(2)/5=x=5
hope this helped!
Answer:
The answer is five! I can provide an explanation if needed
Find the unit rate. 24 cokes cost eight dollars. How much does each coke cost? Please hurry!
Answers
Answer:
4 dollars
Step-by-step explanation:
Twenty-four divide by eight is four.
24 divided 8= 4
Sorry I don't have a division sign on my laptop... (hints why I put divided by instead)
Can I have brainliest?
Which of the following is the sum of two polynomials 3x^2-5x+2 and 5x^2-2x-6.
(A) 8x^2-7x-4
(B) 8x^2+7x-4
(C) 8x^4-7x^2-4
(D) 8x^4+7x^2-4
Answers
A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. The correct option is A.
What is a polygon?A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The sum of the two given polynomial can be done as,
(3x² - 5x + 2) + (5x² - 2x - 6)
= 3x² - 5x + 2 + 5x² - 2x - 6
= 3x²+5x² -5x -2x -6 +2
= 8x² - 7x - 4
Hence, the correct option is A.
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cual es la raiz cuadrada de 45
cual es la raiz cuadrada de 92
cual es la raiz cuadrada de 126
Answers
The square root of 45 ≈ 6.7082
The square root of 92 ≈ 9.5917
The square root of 126 ≈ 11.2249
How to solve
The square root of 45 is approximately 6.7082, which is derived from taking the square root of 45 \((\sqrt(45)).\)
For 92, the square root is approximately 9.5917 \((\sqrt(92))\).
As for 126, its square root is around 11.2249 \((\sqrt(126)).\)
These values are approximations because the square roots of 45, 92, and 126 are irrational numbers, meaning their decimal representation is non-repeating and non-terminating.
When working with these square roots in calculations, it is common to either use their approximate values or to keep them in square root form to maintain the highest level of precision.
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The Question in English
What is the square root of 45
what is the square root of 92
what is the square root of 126
Need Help here Please!
Answers
Answer:
Step-by-step explanation:
To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:
a) To find the value of \(\sf 3(x - y) \\\):
\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)
b) To find the value of \(\sf 6x - 6y \\\):
\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)
c) To find the value of \(\sf y - x \\\):
\(\sf y - x = - (x - y) = -4 \\\)
Therefore:
a) The value of \(\sf 3(x - y) \\\) is 12.
b) The value of \(\sf 6x - 6y \\\) is 24.
c) The value of \(\sf y - x \\\) is -4.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Help Plz help Plz help plz
Answers
Answer:
215.16
Step-by-step explanation:
1/3(48.9)(13.2)=215.16
A college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-states students as out-of-state, and they only have space to accept 100 out-of-state students. Let x= the number of out=of=state students and y= the number in-state students. Write the constrains to represent the incoming students at the college.
Answers
Answer:
0 < x ≤ 100 and 0 < y ≤ 300
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION BELOW;
college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.
0 < x ≤ 100 and 0 < y ≤ 300
x > 0 and y > 0
0 < x ≤ 100 and y > 300
0 < x and y < 100
SOLUTION
they only have space to accept 100 out-of-state students,which means that the Maximum number of out-of-state students that can be accepted is 100
Then x= 100(Maximum number of out-of-state students that can be accepted)
They plan to accept three times as many in-state students as out-of-state which means that
Y = 3x(Maximum number of in-state students)
Then we can deduced that the numbee out-of-state students that can be accepted can lyes between the range of 0 and 100 which means from interval 0 to 100
Which can be written as 0 < x ≤ 100
But we need to know the interval for the Maximum number of in-state students(Y), to do that we need to multiply the equation above by 3 since Y = 3x
0 < x ≤ 100
3× 0 = 0
3× X = X
3× 100= 300
Then 0 < 3x≤ 300
But we know that Y = 3x then substitute into last equation
We have
0 < y ≤ 300
ThenBthe constraints to represent the incoming students at the college is
0 < x ≤ 100 and 0 < y ≤ 300
Answer:
0 < x ≤ 100 and 0 < y ≤ 300
Step-by-step explanation:
took test & got it right
a) Draw a schematic of a heterojunction LED and explain its operation. [6 marks] 'b) The bandgap, \( E_{g} \), of a ternary \( A l_{x} G a_{1-x} A \) s alloys follows the empirical expression, \( E_{g
Answers
a) A heterojunction LED consists of different semiconductor layers with varying bandgaps. When a forward bias is applied, electrons and holes recombine at the junction, emitting photons and producing light. b) The bandgap of a ternary AlxGa1-xAs alloy can be described by the empirical expression: Eg = Eg0 - α/(x(1-x)).
a) A schematic of a heterojunction LED:
_______________ ________________
| | | |
n-AlGaAs p-GaAs n-GaAs p-AlGaAs
| | | |
_________ _________ ___________
| | | | | |
| | | | | |
|_________| |_________| |___________|
The heterojunction LED consists of different semiconductor materials with varying bandgaps. In this schematic, the LED is made up of n-type AlGaAs and p-type GaAs layers, separated by n-type and p-type GaAs layers.
The operation of a heterojunction LED involves the injection and recombination of charge carriers at the junction between the different materials. When a forward bias voltage is applied across the device, electrons from the n-type AlGaAs layer and holes from the p-type GaAs layer are injected into the junction region. Due to the difference in bandgaps, the injected electrons and holes have different energy levels.
As the electrons and holes recombine in the junction region, they release energy in the form of photons. The energy of the emitted photons corresponds to the difference in bandgaps between the materials. This allows the LED to emit light with a specific wavelength.
b) The bandgap, \(E_{g}\), of a ternary AlxGa1-xAs alloy can be described by the empirical expression:
\(\[E_{g} = E_{g0} - \frac{\alpha}{x(1-x)}\]\)
where \(E_{g0}\) is the bandgap of the binary GaAs compound, \(\alpha\) is a material-specific constant, and \(x\) is the composition parameter that represents the fraction of Al in the alloy.
This expression accounts for the variation in bandgap energy due to the mixing of Al and Ga atoms in the ternary alloy. As the composition parameter \(x\) changes, the bandgap of the AlxGa1-xAs alloy shifts accordingly.
The expression also shows that there is an inverse relationship between the bandgap and the composition parameter \(x\). As \(x\) increases or decreases, the bandgap decreases. This means that by adjusting the composition of the alloy, the bandgap of AlxGa1-xAs can be tailored to specific energy levels, allowing for precise control over the emitted light wavelength in optoelectronic devices like LEDs.
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If AB≅DE, BC = EF, and ∠ACB ≅ ∠DFE, then ΔABC ≅ ΔDEF.
Answers
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
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0
bigideasmath.com
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::: CALCULATORS
Classify each polynomial according to its degree and type.
Monomial
Binomial
Trinomial
Degree 1
Degree 2
Degree 3
:: 9x
:: 5 - 2x3
:: - 4x2
:: x + 6
:: 3x² + 3x3 - 10
:: 4x2 - x
:: x - 3x² + 1
Answers
Answer:
Trinomial
Binomial
and monomial
Step-by-step explanation:
Please help
Write the word sentence as an inequality. Then solve the inequality. Six times a number x is at least −24. An inequality is________ . The solution of this inequality is _________.
Answers
Answer:
6x ≥ -24
An inequality is "a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions."
The solution to this inequality is:
x ≥ -4
Step-by-step explanation:
There's no explanation needed.
I just converted the words into an equation, then solved it by dividing both sides by 6. I looked up the definition of an inequality and pasted it here.
i really need help..im confused
Answers
The marginal frequencies of chocolate and strawberry are 0.75 and 0.25 and chocolate is greater by 0.5
What are marginal frequencies?Marginal frequency is the ratio between either a column total or a row total and the total sample size.
For example, in a table of students classified by sex and area of study, the number of female students, regardless of area of study, would be one marginal frequency.
The marginal frequency of chocolate is calculated as;
The total frequency of chocolate = 30+45 = 75
The grand frequency = 75+25 = 100
marginal frequency of chocolate = 75/100
= 0.75
The marginal frequency of strawberry = 25/100
= 0.25
The difference in the marginal frequencies of chocolate and strawberry = 0.75 - 0.25 = 0.50
Therefore the marginal frequency of chocolate is greater than strawberry by 0.5
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can someone pls help
Answers
The required area of the parallelogram and pentagon is 91 unit² and 75 unit².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram = 13 × 7 = 91 unit²
Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
= 5 [1/2 × 5 × 6]
= 75 suqare units.
Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².
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A florist is making some bunches of flowers for a wedding. Each bunch contains some carnations, roses, and lilies. Each bunch is the same. - A bunch contains 40 flowers -60% of the flowers are lilies The ratio of carnations to roses is 3:5 The florist only has 140 carnations. How many bunches of flowers can the florist make?
Answers
Number of bunches of flowers that can the florist make is 23 flowers
If 60% of the flowers in a bunch are lilies, then there are 40 x 0.6 = 24 lilies in each bunch.
That means there are 40 - 24 = 16 roses and carnations in each bunch.
The ratio of carnations to roses = 3 : 5
Let's call the number of carnations in each bunch "3x" and the number of roses in each bunch "5x". That means
3x + 5x = 16 (the total number of carnations and roses)
8x = 16
x = 2
So there are 3 x 2 = 6 carnations in each bunch.
If the florist has only 140 carnations, they can make 140 / 6 = 23.333... bunches of flowers. However, since they can't make a fraction of a bunch, the florist can only make 23 bunches of flowers.
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The coordinates of point R are (-4, -3).
What are the coordinates of R’ after a counterclockwise rotation of 90° about the origin?
A. (4, -3)
B. (-3, 4)
C. (3, -4)
D. (4, 3)
Answers
Answer:
C. (3, -4)
Step-by-step explanation:
Answer:
As harleygilman7 states: C). (3, -4) is the correct answer.
Step-by-step explanation:
I took the test and it was correct :)
A 2-column table with 5 rows. The first column, number of snapdragons, x, has the entries 11, 12, 13, 14. The second column, number of daisies, y, has the entries 34, 33, 32, 31.
Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans plants 29 daisies, how many snapdragons will he plant?
Answers
9514 1404 393
Answer:
16
Step-by-step explanation:
The values in each row of the table have a total of 45. If Hans plants 29 daisies, he likely will plant ...
45 -29 = 16 . . . snapdragons
__
One can also find the answer by extending the table 2 more rows. Each x entry increases by 1 as each y entry decreases by 1. Then the number of snapdragons listed in the second added row will be 14+2 = 16.
Answer:
x=45-y and 16
Step-by-step explanation:
Juan has $24 to spend at the bookstore. If books cost $6 each how many books cam he buy?
Answers
4Answer:
Step-by-step explanation:
24 divided by 4 = 6
Put the following rational numbers in order from least to greatest.
70%, 7%, 17%, -3.7%, 0.3%
Answers
Answer:
-3.7%, 0.3%,7%,17%,70%
Step-by-step explanation:
Help please giving points to right answer JUST NEED THE NUMBER TO FILL IN BLANK !!
Answers
Answer:
We have the proportion: 8/10 = 100/y
We can solve for y by cross-multiplying.
That is, 8y = 100 * 10 Simplifying the right-hand side, 8y = 1000
Dividing both sides by 8 to solve for y, y = 125
Hence, the value of y is 125.
Finally, we have the expression: y = √80We can simplify this expression by factoring 80 into its prime factors:80 = 2 * 2 * 2 * 2 * 5
Taking the square root of 2 * 2 * 2 * 2, we have:√(2 * 2 * 2 * 2) = 2 * 2 = 4
Therefore, y = 4√5The value of y is 4√5.
Step-by-step explanation:
Hope this helps!! Have a good day/night!!
Write the equation of y=x^(2) when it is translated 8 units to the left and then 6 units downward.
Answers
The equation of y=x^(2) can be translated 8 units to the left and then 6 units downward by modifying the equation as follows:
y=(x+8)^(2)-6
This equation represents the same parabola as y=x^(2), but it has been shifted 8 units to the left and 6 units downward.
The translation of a function can be represented by modifying the equation in the form y=f(x-h)+k, where h is the horizontal shift and k is the vertical shift. In this case, h=-8 and k=-6, so the equation becomes:
y=f(x-(-8))+(-6)
y=f(x+8)-6
Substituting the original function f(x)=x^(2) into this equation gives:
y=(x+8)^(2)-6
Therefore, the equation of y=x^(2) when it is translated 8 units to the left and then 6 units downward is y=(x+8)^(2)-6.
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Why is the property of closure important in math?
Answers
Understanding a set’s nature or properties is made easier by its closure property
What is the Closure Property?The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.
Why Closure Property is important?
Understanding a set’s nature or properties is made easier by its closure property. Mathematical applications of closure are numerous. Any operation that adheres to this condition is said to be “closed” or to have “fulfilled the operation’s closure property.”
Example – The set of even number is closed under subtraction
Even – Even = Even
6 – 4 = 2
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carla leaves home and walks 40° easy to the north for 1.5 miles, then turns and continues due west for 2 miles. at this point in her trip, how far is she from home to the nearest tenth of a mile? Need answer right away
Answers
Answer:
need help
Step-by-step explanation:
Carla is 1.3 miles away from the home.
Given that, Carla leaves home and walks 40° easy to the north for 1.5 miles, then turns and continues due west for 2 miles.
The formula for the cosine rule is c=√(a²+b²-2ab cosC)
Here, c=√(1.5²+2²-2×1.5×2 cos40°)
c=√(2.25+4-6×0.7660)
c=√1.654
c=1.28
c=1.3 miles
Therefore, Carla is 1.3 miles away from the home.
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A cylinder has a height of 20 ft and a volume of 64,339 ft³.
What is the radius of the cylinder?
Round your answer to the nearest whole number.
676 ft
338 ft
32 ft
26 ft
Answers
Answer:
64,339 = π(r^2)(20)
r^2 = 1,023.987
r = 32 ft
HELP ME OUT PLS MARKING BRAINLEIST
Answers
Answer:
243
Step-by-step explanation:
IM PRETTY SURE IT 243 PLS NOW BRAINLIST
113 disproves the conjecture that all number ending in 3 are divisible by 3
What is divisible rule ?Mathematicians use a set of precise rules called the "divisibility rules" to determine whether a given integer is divisible by a certain number or not. Examples of well-known divisibility tests range from 2 to 20. It enables us to calculate multiples and factors of numbers without having to use lengthy division. Applying the rules of divisibility, a person can determine if a number is divisible by another number or not.
Divisibility rule for 3 states that a number is completely divisible by 3 if the sum of its digits is divisible by 3.
243 is divisible by 3 as its sum is 2 + 4 + 3 = 9 and 9 easily get divided by 3
113 is not divisible by 3 as its sum is 5 and 5 can not divided by 3
therefore ,
113 disproves the conjecture that all number ending in 3 are divisible by 3
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