Your backpacker's guide contains a grid map of London, with each unit on the grid representing 0.125 kilometers. If Buckingham Palace is located at (2, -3) and Westminster Abbey is located at (-1, 4), what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two landmarks in kilometers? Round your answer to two decimal places, if necessary. ​

Answer:

0.62 = 0.62 × 100/100 = (0.62 × 100)/100 = 62/100 = 62%;

In other words:

1) Multiply that number by 100.

2) Add the percent sign % to it.

Answer:

62%

Step-by-step explanation:

You would take the decimal and move it to the right two spaces then add the percent sign in replace of the decimal.

.62 → 6.2 → 62. → 62%

Hope this helps!

Answer:

16.67%

Step-by-step explanation:

2 possibilities out of 12 = 2/12 which equals to a percentage of 16.67%

Factor:

Answer:

x + 2

Answer:

15/32

Step-by-step explanation:

The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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Answer:

r = 5

Step-by-step explanation:

70 = 10 + 12 r

-10    -10

____________

60 = 12r

/12     /12

_______

5 = r

Answer:

5

Step-by-step explanation:

70-10=60

60=12r

60/12=5

r=5

Answer:

n+3=n*3

n+3=3n

3n-n=3

2n=3

n=3/2

Step-by-step explanation:

Answer: -18

Step-by-step explanation:

Using the shell method, the volume of the solid generated when R is revolved about the y-axis is V= 324π cubic units.

The shell method refers to a method of finding volumes of the solid by decomposing a solid of revolution into cylindrical shells. It is one of the methods to find the volume of the solid. This solid is generated when region R is rotated about an axis or the y-axis. In case it is y-axis then the following formula is used:

V= ∫_a^b▒〖2πx [f(x)-g(x)]dx〗

Where y = f(x), y = g(x), and the interval is considered as [a,b].

The given curves are: y = 11 − x, y = 0, x = 3, x = 9

V= ∫_3^9▒〖2πx [11-x-0]dx〗

V= 2π∫_3^9▒〖(11x-x^2)dx〗

V= 2π[11/2 x^2-  1/3 x^3]

V= 2π[11/2 9^2-  1/3 9^3-  11/2 3^2+  1/3 3^3]

V= 2π[891/2-  729/3-  99/2+  27/3]

V= 2π[729/2-  702/3]

V= 2π[396-234]

V= 2π[162]

V= 324π cubic units

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movies 1.75 each

games 5.75 each

Answer:

206.29

Step-by-step explanation:

(add all answers up and divide by 11)

(206.18)

Answer:

189

Step-by-step explanation:

Answer:

11.4pounds

Step-by-step explanation:

(5.58+4.68)÷0.90

＝11.4(pounds)

For the function f( x) = 3x- 2 and g( x) = x2, the workout fg( x) is 3x2- 2.

What is function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are inclusively appertained to as the function's sphere and codomain, independently. originally, functions represented the idealized relationship between two changing amounts.

A formula, rule, or legislation that specifies how one variable( the independent variable) and another variable are related( the dependent variable).

Four orders of functions live functions with return values and arguments.

This function accepts arguments and gives back a result.

functions that take arguments but have no return values.

functions with return values and no arguments.

functions that have no arguments or return values.

we are given two function f( x) and g( x);

f( x) = 3x- 2 and

g( x) = x2

So, for fg( x), we've to put value of g( x) into f( x);

Hence, the equation will be;

fg( x) = 3x2- 2.

thus, for the function f( x) = 3x- 2 and g( x) = x2, the fg( x) is 3x2- 2.

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This shows that $610.515 will be paid for the bill

Given the following parameters

If the patient's insurance policy will pay 90% of all ER charges, the amount the insurance policy will pay for the bill will be:

Amount paid = 0.9 * $678.35

Amount paid = 610.515

This shows that $610.515 will be paid for the bill

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$7.50

just took the cfa or test on edguninty

A linear relationship on a graph describes a relation between two distinct variables x and y in the form of a straight line.

The amount of profit for selling one box is $7.5.

Option A is the correct answer.

A linear relationship on a graph describes a relation between two distinct variables x and y in the form of a straight line.

We have,

The graph models the linear relationship between the number of boxes of cards sold and its profit.

We see from the graph that when 4 boxes of cards are sold the profit made is $30.

This can be written as:

4 boxes = $30

Divide both sides by 4 we get,

1 box = 30/4

1 box = $7.5

Thus the amount of profit for selling one box is $7.5.

Option A is the correct answer.

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Hey there!

ALL triangles has 3 sides. (Top and the two corners)

The only try that has the sides that are equal to each other is, the isosceles triangle ; the isosceles triangle is equal to 180°

Answer: ISOSCELES TRIANGLE ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Here’s an example SIDE A is EQUIVALENT (EQUAL) to SIDE B

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

y = mx + b

m = 3

b = 2

y = 3x + 2

______________________

y = mx + b

m = 1/2

b = -1

y = 1/2x + (-1)

y = 1/2x -1

Answer:

$1.43

Step-by-step explanation:

7.15 / 5 is 1.43, so each pound is $1.43

Answer:

1.43$

Step-by-step explanation:

Take the 5lbs and divide it by $7.15 that will get you the unit of 1.43$

Answer:

a c

Step-by-step explanation:

Answer: $1.25

Step-by-step explanation:

x = 1 is the only possible value for the given sequence to be geometric.

What is a sequence?

A sequence is an ordered list of elements. The elements may be numbers, functions, or any other mathematical objects. Sequences can be finite or infinite and follow different patterns, e.g. arithmetic, geometric or recursive.

What is geometric sequence?

A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the previous term by a constant called the common ratio.

According to the given  information

For a sequence to be geometric, the ratio of any term to the preceding term should be constant.

Thus, we can write:

(3)/(x+1) = (5x+2)/(3)

Simplifying the above equation, we get:

9x + 3 = 5x + 2x + 6

3x = 3

x = 1

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Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

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The area of the shape with the given features is 34.625 square cm

From the question, we have the following parameters that can be used in our computation:

Composite figures

The area of the shape is the sum of the areas of individual shapes

So, we have

Area = triangle + quarter circle

This gives

Area = 1/2 * 6 * 5 + 1/4 * 3.14 * 5^2

Evaluate

Area = 34.625

Hence, the area is 34.625 square cm

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Answer:

\(\huge\boxed{\sf f(a) = 2a}\)

Step-by-step explanation:

-3a + 6b = a + 4b

Isolate b

6b - 4b = a + 3a

2b = 4a

b = 4a / 2

b = 2a

Replace b by f(a)

f(a) = 2a

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

Step-by-step explanation: Answer: 2a

Trust ;)

The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

We have the 4 functions as shown in the image attached.

The y - intercept is the point where the graph intercepts the y - axis.

Function [1] -

y = 4 + 2x

y - intercept is 4

Function [2] -

y = 5ˣ + 1

y - intercept is 2.

Function [3] -

the y-intercept is 1.

Function [4] -

the y - intercept is at -1.

Therefore, the greatest y-intercept is of function -

f(x) = 2x + 4

and the least y-intercept is of the function shown in graph [4] or function [4].

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Answer:

Carlos puts $3 into his bank account and it grows by 50% each year

f(x)=4^x+1

(The Table)

(The Graph)

Answer:

34.5 = 35 coaches

Step-by-step explanation:

276/24 = 12.5 = 11.5 (11 groups of 24 players + 12 players

11.5 x 3 =

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

A) x = 113°

Explanation:

Given three sides: 6.4 cm, 5.8 cm, 10.2 cm

Use the cosine rule:

c² = a² + b² - 2ab cos(C)

Insert/put variables:

\(\rightarrow \sf 10.2^2 = 5.8^2 + 6.4^2 - 2(5.8)(6.4) cos(x)\)

\(\rightarrow \sf -74.24 cos(x) = 10.2^2 - 5.8^2 - 6.4^2\)

\(\sf \rightarrow -74.24 cos(x) = 29.44\)

\(\rightarrow \sf cos(x) = \dfrac{29.44}{-74.24}\)

\(\rightarrow \sf x = cos^{-1}(-\dfrac{23}{58})\)   = 113.36°  ≈ 113°  (rounded to nearest degree)