Answer:
See below
Step-by-step explanation:
An area of 2km x 2km = 4 km^2
1 km = .62137 miles
2 (.62137) x 2 (.62137) = 1.5444 mi^2
When the dollar price of pounds rises, for example, from $1 = 1 pound to $2 = 1 pound, the dollar has ______ relative to the pound.
The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.
What is Depreciated relative?Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.
A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.
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Find the equation of a line that passes through the points (-2,-3) and (4,1)
The equation of the line from give points is y = 2/3x - 5/3.
According to the statement
We have given that the two points which are (-2,-3) and (4,1)
And we have to find the equation of a line that passes through the given points.
So,For this purpose,
First, we need to determine the slope of the line. The slope can be found by using the formula:
[tex]m = \frac{(y_2) -(y_1)}{(x_2) -(x_1)}[/tex]
Where
m is the slope and
Substituting the values from the points in the problem gives:
m = 1 + 3 /4 + 2
m = 4/6
m = 2/3.
And then
Now, we can use the point-slope formula to find an equation for the line. The point-slope formula states:
[tex]y - (y_1) = m(x -x_1)[/tex]
Put the values in it then
y - (-3) = 2/3 (x-(-2))
y +3 = 2/3 (x +2)
3y + 9 = 2x + 4
3y - 2x = 4 -9
3y -2x = -5
3y = 2x - 5
y = 2/3x - 5/3.
So, The equation of the line from give points is y = 2/3x - 5/3.
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The sum of 10 consecutive integersstarting with 11, equals the sum of 5 consecutive integers, starting with
(A) 22
(B) 29
(C) 31
(D) 33
Answer: [tex]\large\boxed{29}[/tex]
Step-by-step explanation:
The sum of 10 consecutive integersstarting with 11
= 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 155
Lets try 29:
29 + 30 + 31 + 32 + 33 = 155
Therefore our answer is:
[tex]\large\boxed{29}[/tex]
what is 2^c=8 (please help)
Answer:
c=3.
Step-by-step explanation:
∵2*2*2=8,
∴2^3=8.
∵2^c=8,
∴c=3.
PLS HELP IS IT TRUE OR NOT
Answer:
True
Step-by-step explanation:
All faces of a cube are the same.
Given: y varies directly with x and has a constant rate of change of 7. when the value of y is 12, then the value of x would be _____.
Answer:X=12/7
Step-by-step explanation:
Y [tex]\alpha[/tex] X
⇒Y=KX
Where K is the constant
From the question,k=7
⇒ When Y=12,
y=KX
12=7X
X=12/7
What is the X
3x +15 and 2x + 20
Answer:
x = 5Step-by-step explanation:
What is the X
3x +15 and 2x + 20
assuming that the question is an equation
3x + 15 = 2x + 20
3x - 2x = 20 - 15
x = 5
-----------------
check
3 * 5 + 15 = 2 * 5 + 20
30 = 30
the answer is good
6. Encik Azmi bought a locally made car for RM55 000. After 6 years, Encik Azmi wishes to sell the car. Based on the explanation from the used car dealers, the price of Encik Azmi's car will be calculated using the formula RM55 000 (8)". In this situation, n is the number of years after the car is bought. What is the market value of Encik Azmi's car? State your answer correct to the nearest RM. RM55 000
The result is 859,375,000.
What does multiplication mean?The result of two numbers being multiplied is known as the product. The multiplier is the number of such equal groups, and the multiplicand is the number of items in each group.Calculating the outcome of successive additions of two numbers is known as multiplication. The multiplication formula is 4 times 2 equals 8.Calculating the sum of two numbers multiplied together is the process of multiplication. Simple tests will be given in addition, subtraction, multiplication, and division. 2. a noncount noun The process or occurrence of something of a certain kind multiplying occurs when their quantity or number increases.Multiplication has the following three characteristics: commutative, associative, and distributive.The market value of Encik Azmi's car:
Get the answer by multiplication.
[tex]=55000*8^{6}[/tex]
=55000*15625
=859,375,000
The market value of Encik Azmi's car is 859,375,000.
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Can I get some help finding the x of the triangle please?
Answer:
61
Step-by-step explanation:
You can see that the sides are both 6. That means that this triangle is an isosceles triangle.
Therefore do this:
180-58=122
122/2= 61
So x= 61 Degrees
Hope This helps! :)
Answer:
x = 61
Step-by-step explanation:
This triangle is an isosceles triangle which means 2 sides are congruent. This also means the 2 angles across from the congruent sides are congruent. So, you would subtract 58 from 180 which equals 122. Then you would divide that in half, which gets you 61. (The angle 58 is the one across from the side that is not congruent to the others. That is why I used it)
A plan for a baseball diamond is drawn in a coordinate plane. The baseball diamond is in the shape of a square with vertices at approximately (0, 64), (64, 0), (0, -64), and (-64, 0). One unit in the coordinate plane represents 1 ft. What is the approximate area of the baseball diamond?
The area of the baseball diamond is 8192 sq. units.
We assume the square-shaped, baseball diamond to be ABCD with A = (0, 64), B = (64, 0), C = (0, -64), and D = (-64, 0).
The side of the square can be computed using the distance formula,
D = √((x₂ - x₁)² + (y₂ - y₁)²), when the endpoints of a line are (x₁, y₁) and (x₂, y₂).
Thus, the side of the square,
a = √((x₂ - x₁)² + (y₂ - y₁)²),
or, a = √((64 - 0)² + (0 - 64)²) {Considering A(0,64) and B(64, 0) as the endpoints,
or, a = √(64² + (-64)²),
or, a = √(4096 + 4096),
or, a = 64√2 units.
Now, the area of the square can be calculated using the formula, A = a², where A is the area and a is the side of the square.
Thus, the area of the square = (64√2)² = 4096*2 = 8192 sq. units.
Thus, the area of the baseball diamond is 8192 sq. units.
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Use the graph to find the local minimum and the local maximum for the given function
The local minimum on the interval [-3, 0] is -16, the local maximum on the interval [0, 3] is 4 and the local minimum on the interval [0, 3] is -3
What is a local minimum?In a function, a point located at the local minimum is a point that is at a lower coordinate compared to the other neighboring points
What is a local maximum?In a function, a point located at the local maximum is a point that is at a higher coordinate compared to the other neighboring points
How to determine the local minimum and the local maximum?The complete question is added as an attachment
In the first interval, [-3, 0], the lowest point in the interval is located at (-16, -1.5)
This means that the local minimum on the interval [-3, 0] is -16
In the second interval, [0, 3], the highest maximum in the interval is located at (4, 1)
This means that the local maximum on the interval [0, 3] is 4
In the second interval, [0, 3], the lowest minimum in the interval is located at (0, -3)
This means that the local minimum on the interval [0, 3] is -3
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Select all of the values of x that are solutions to 17-7x> 3(10x-4) + 61.
-2
-4
-1
2
5
0
Answer: -2, -4, -1
Step-by-step explanation:
[tex]17-7x > 3(10x-4)+61\\\\17-7x > 30x-12+61\\\\17-7x > 30x+49\\\\-32 > 37x\\\\x < -\frac{32}{37}[/tex]
So, the values of x are -2, -4, -1.
Help on this math problem!! if there is any work that can be shown it would be great thanks!!!
A dealer bought digital watches at Rs 5,500 per piece and fixed the price of each watch to make 20% profit. How much should a customer pay for it with 13% VAT?
Answer:
A dealer bought digital watches at Rs 5500 per piece and fixed the price of each watch to make 20 profit. How much should a customer pay for it with 13 VAT? A trader purchased a laptop for Rs 45000 and marked its price to make 24 profit.
Step-by-step explanation:
Lee wants to fence off a rectangular area that is 36 feet squared in size for a vegetable garden. He is considering three garden lengths of 6 ft, 9 ft, and 12 ft. He wants to determine which garden would require the least amount of fencing.
Determine the dimensions of the garden that would require the least amount of fencing.
tried my best to show the steps!! all i did was isolate to find the missing widths attached to the respective lengths (divided surface area by width) and then multiply both sides by two and add them together to find the perimeter.
The dimensions of the garden that would require the least amount of fencing are 6 ft in length and 6 ft in width.
The dimensions are the sides of a geometric shape.
The lengths of the three gardens are given as 6 ft, 9 ft, and 12 ft respectively.
If the area of the garden is 36 feet squared, then the widths for the three lengths will be as follows:
The width of the garden with a length of 6 ft [tex]= \dfrac{36}{6} = 6\ ft[/tex]
The width of the garden with a length of 9 ft [tex]= \dfrac{36}{9} = 4\ ft[/tex]
The width of the garden with a length of 6 ft [tex]= \dfrac{36}{12} = 3\ ft[/tex]
The parameters are calculated as:
The parameter of the garden with dimensions (6 ft, 6 ft) = 2(6 + 6) = 24 ft
The parameter of the garden with dimensions (9 ft, 4 ft) = 2(9 + 4) = 26 ft
The parameter of the garden with dimensions (12 ft, 3 ft) = 2(12 + 3) = 30 ft
The least of the parameter is of the garden with dimensions (6 ft, 6 ft).
Thus, the garden with dimensions (6 ft, 6 ft) would require the least amount of fencing.
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What is the product of –3 and 5?
QPS=
Help me please! Thankss
Answer:
44°
Step-by-step explanation:
[tex]\frac{134-46}{2}=44[/tex]
.
find the missing numbers in the following equal ratios:
[tex]\frac{?}{3} = \frac{?}{6} = \frac{8}{?} = \frac{16}{24}[/tex]
First blank: Dividing the numerator and denominator of 16/24 by 8 gives the unknown to be 2.
Second blank: Dividing the numerator and denominator of 16/24 by 4 gives the unknown to be 4.
Third blank: Dividing the numerator and denominator of 16/24 by 2 gives the unknown to be 12.
The base of each triangle varies inversely with the height. what are the possible base is 14 and height of a second triangle if the first triangle's base is 14 and its height 6 is ?
The possible base and height of a second triangle are:
B = 5 H = 12What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.To find the base and height of the triangle:
First, we must find the constant of variation (k).
The problem indicates that the base of each triangle varies inversely with the height.
So, this can be represented as below:
B = k/H
B is the base of the triangle (B=10). H is the height of the triangle (H=6). k is the constant of variation.When we clear "k", we obtain:
B = k/H k = BxH k = 10x6 k = 60Now, we have:
B = 60/HWe can give any value to "H" and you will obtain the base of the second triangle.
If H = 12, then:
B = 60/H B = 60/12 B = 5Therefore, the possible base and height of a second triangle are:
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Everyone in Sandy's class has to do a science project. Out of 50 students, 56% have completed their projects.
How many students still need to do their projects?
Pls help ASAP
Answer:
22
Step-by-step explanation:
100 - 56 is 44. 44% have still not done the project
.44 x 50 = 22
Answer:
22 coz 56% of 50 which is the total is 28. Then the remaining 44%is22
Step-by-step explanation:
Write down the equation for the following
i,Grade 7 students received a total of 88 books from world vision.they received 63 books on Monday and g books on Tuesday
ii,Solve the equation above
If two fair dice are rolled, what is the probability that the total showing is either even or less than five?
The Probability that the total showing is either even or less than five = 5/6
What is Probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.
According to the given data:The example space for rolling two dice is:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
36 events total.
Events that have a sum that is even or less than Five .
Total instances when the aggregate is even or less than Five equals 30.
P(sum is even or less than 5)
= (Total no of favorable event)/(Total no of event)
= 30/36
=5/6
probability that the total showing is either even or less than five = 5/6
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What is the solution to the equation
O x = -3
x = -3 and x=0
O x = 0 and x = 3
O x = 3
X+3
2 ?
2x²
The solution to the equation 1/x = x + 3/2x^2 is x = 0 or x = 3
How to determine the solution to the equation?The equation is given as:
1/x = x + 3/2x^2
Cross multiply in the above equation
2x^2 = x^2 + 3x
Evaluate the like terms
x^2 - 3x = 0
Factor out x
x(x - 3) = 0
Solve for x
x = 0 or x = 3
Hence, the solution to the equation 1/x = x + 3/2x^2 is x = 0 or x = 3
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Answer:
The Answer Is "x=3"
Step-by-step explanation:
I just did it
What is the 7th term of an AP: 50+45+40
Answer:
20
Step-by-step explanation:
using the arithmetic progress formula
tn=a+(n-1)d
from the series given above a which is your first term is 50
the d which is the common difference.. you minus the first term from the second term which is 45-50=-5
so the 7th term which our n=7
we have:
t7=50+(7-1)(-5)
t7=50+(6)(-5)
t7=50-30
t7=20
Answer:
a₇ = 20
Step-by-step explanation:
the nth term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 50 and d = 45 - 50 = - 5 , then
a₇ = 50 + (6 × - 5) = 50 + (- 30) = 50 - 30 = 20
Which option is the fraction 28/31 closest to? 0, 1/2 or 1?
Answer:
1 is the closest to 28/31
Step-by-step explanation:
0 is technically 28 spaces away and 1/2 is around 13 spaces away but 1 is only 3. :)
The school puts up fencing around an area in the shape of a hexagon for an outdoor concert. how much fencing does the school use? round your answer to the nearest whole yard.
The total length of school installs fencing around a hexagon-shaped area for an outside concert, is 36 yards.
What is the distance formula?Distance is a numerical measurement of the distance between two objects or places. Distance can refer to a physical length or an estimate based on other criteria in physics or common usage. The distance between two points A and B is commonly expressed as |AB|.To find the fencing used by the school:
The distance formula can be given as: [tex]d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }[/tex]
First, we must calculate the length of the hexagon using the distance formula.
The hexagon's coordinates, according to the graph, are:
(-5, 4), (0, 6), (5, 4), (6, -2), (0, -4), and (-6, -2)
The distance between (-5, 4), (0, 6): [tex]d=\sqrt{(5)^{2} +(6-4)^{2} }[/tex]
d = √29 yardsSimilarly, the distance between (-5, 4) and (6, -2):
= √37 yardsAnd the distance between (6, -2) and (0, -4):
= √40 yardsAmount of fencing required = 2(√29+√37+√40):
= 35.58 units ≈ 36 yardsTherefore, the total length of school installs fencing around a hexagon-shaped area for an outside concert, is 36 yards.
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The complete question is given below:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The school puts up fencing around an area in the shape of a hexagon for an outdoor concert. How much fencing does the school use? Round your answer to the nearest whole yard.
Answer:
36 yards of fencing
Step-by-step explanation:
the reason I know this is because I got it right.
Two cars raced at a race track. the faster car traveled 20 mph faster than the slower car. in the time that the slower car traveled 165 miles, the faster car traveled 225 miles. if the speeds of the cars remained constant, how fast did the slower car travel during the race? distance (mi) rate (mph) time (h) slower car 165 r startfraction 165 over r endfraction faster car 225 r 20 startfraction 225 over r 20 endfraction 55 mph 60 mph 75 mph 130 mph
If the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.
Given that the faster car is travelling 20 mph faster than slower car and when slower car travels 165 miles the faster car travels 225 miles.
We are required to find the speed of slower car and faster car.
let the speed of slower car be x mph.
In this way the speed of faster car be (x+20) mph.
Speed=Distance/ time
We have to first take slower car.
x=165/Time
Time=165/x-----------1
Now by taking faster car.
x+20=225/time
Time=225/(x+20)-------2
From equation 1 an equation 2.
165/x=225/(x+20)
225x=165x+3300
225x-165x=3300
60x=3300
x=55 mph
Faster car=55+20
=75 mph.
Hence if the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.
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A shop sells sweets where every 3 sweet wrappers can be exchanged for one more sweet. Kelvin has enough money to buy only 19 sweets. What is the biggest number of sweets that he can get from the shop?
Answer:
Kelvin can get 6 free sweets
Identify the area of the figure rounded to the nearest tenth.
Answer:
91.5[tex]cm^{2}[/tex]
Step-by-step explanation:
The area of the rectangle:
a = lw
a =(21)(3) = 63
The area of the square:
a = lw
a = (5)(5) = 25
The area of a half circle:
a=[tex]\frac{\pi r^{2} }{2}[/tex]
a= [tex]\frac{3.14(1.5^{2}) }{2}[/tex]
a = [tex]\frac{3.14(2.25)}{2}[/tex]
a = [tex]\frac{7.065}{2}[/tex]
a = 3.5 rounded to the nearest tenth
63 + 25 + 3.5 =91.5
What is the range of this function? (negative infinity, infinity) left-bracket negative 1, infinity) (negative 1, infinity) (0, infinity)
The range of the function [tex]f(x) = -2(6)^{x} +3[/tex] discovered using exponential function is ( -∞, 3).
What is the range?The difference between the greatest and smallest numbers is called the range.What is an exponential function?
The following equations represent an exponential function: [tex]y=ab^{x} +c[/tex]In which:
a is the initial value.b is the rate of change.c is the vertical shift.As for the range, we have:
If a > 0, the range is (c,∞).If a < 0, the range is (-∞,c).In this problem, the function is given by: [tex]f(x) = -2(6)^{x} +3[/tex]
The coefficients are a = -2 0, b = 6, and c = 3, and the range is (-∞,3).
Therefore, the coefficients are a = -2 0, b = 6, and c = 3, and the range is (-∞,3).
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The complete question is given below:
What is the range of the function f(x) = –2(6x) + 3? (negative infinity, negative 2 Right-bracket (negative infinity, 3) Left-bracket negative 2, infinity) Left-bracket 3, infinity)
Answer:B
Step-by-step explanation:edge lolololololololloll