If you had $20 US, estimate how many Yen and Pounds you would have. Show your work.
please help

Answer:

k = 11

Step-by-step explanation:

Expand brackets

2k - 10 = 12

add 10 on both sides

2k = 22

divide both sides by 2

k = 11

Answer:

43 hundreds

Step-by-step explanation:

There are 40 hundreds in 4000.  

4000/100=40.

Afterwards, you would add the other 3 hundred to the answer which would make the answer 43 since 300/100 is equal to 3, and 40 + 3 = 43

The remainder of the 76 left would be 7 tens and 6 ones also if you wanted to know.

10 one hundreds = 1000

3 one hundreds = 300

Answer:

4x+2

Step-by-step explanation:

(13x+x−53x)−(−43x+2)

Group all the same variables on each side.

(-39x)-(-43x+2)

-39x+43x+2

4x+2

Hope this helps :)

Answer:   x-2   &    -2-x+2x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4/20

Step-by-step explanation:

(a) √2 · √8. The simplified surd expression is 4.

(b) √80. The simplified surd expression is  4√5.

(c) √5/√20. The simplified surd expression is  1/2.

(d) √20. The simplified surd expression is  2√5.

The given surd expression is simplified as follows;

(a) √2 · √8

we can simplify it as;

√2 · √8 = √(2 x 8) = √16 = 4

(b) √80

we can simplify it as;

√80 = √ (16 x 5) = √16  x √5 = 4√5

(c) √5/√20

we can simplify it as;

√5/√20  x  √20 / √20

= (√5  x √20 ) /(20)

= √100 / 20

= 10/20

= 1/2

(d) √20

we can simplify it as;

√20 = √4  x √5 = 2√5

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Answer:

The minimum number of assignment statements needed is 5

Step-by-step explanation:

To write the algorithm, we apply the strategy of interchanging the values of variables in the assignment statements.

Assume "tmp" is the new variable, let assign tmp to w

The algorithm is:

Procedure exchange (w,x,y,z: integers)

 tmp := w

    w := x

     x := y

     y := z

     z := tmp

    return (w,x,y,z)

end

From the algorithm, it is obvious that there will be a minimum of 5 assignment statements needed.

The French character who is considered the father of sociology has been Auguste Comte.

This character was a Frenchman, he himself was a philosopher and is recognized mainly by:

Due to the above, Auguste Comte is considered the initiator of the social sciences, which are currently very important sciences for the study of various events.

¡Hope this helped!

Answer:

48

Step-by-step explanation:

details will be added

The general form representation of the polynomial which is as described in the task content is; f(x) = 4x³ + 38x² + 24x - 360.

It follows from the task content that the Polynomial in discuss has;

Therefore, the factored form of a polynomial can be written as follows;

P(x) = a (x - p) (x - q) (x - r) where p, q and r are the roots of the polynomial and a is the leading coefficient.

Since the factors of the polynomial f(x) are; (x + 6), (x + 6) and (x - 5/2).

Hence, the polynomial f(x) in discuss can be written as follows;

f(x) = 4 (x + 6) (x + 6) (x - 5/2)

f(x) = (x + 6) (x + 6) (4x - 10)

f(x) = 4x³ + 38x² + 24x - 360

Therefore, the required polynomial in standard form is; f(x) = 4x³ + 38x² + 24x - 360.

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Answer: n = 0

Step-by-step explanation:

Given expression

(-3/4) (8n + 12) = 3 (n - 3)

Expand parentheses and apply the distributive property

-6n - 9 = 3n - 9

Add 9 on both sides

-6n - 9 + 9 = 3n - 9 + 9

-6n = 3n

Subtract 3n on both sides

-6n - 3n = 3n - 3n

-9n = 0

Divide -9 on both sides

-9n / -9 = 0 / -9

\(\boxed{n=0}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

0

Step-by-step explanation:

-3/4(8n+12)=3(n-3)

-24/4n-36/4=3n-9

-6n-9=3n-9

-6n-3n-9=-9

-9n-9=-9

-9n=-9+9

-9n=0

n=0/-9

n=0

Please mark me as Brainliest if you're satisfied with the answer.

Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.

It should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:

= ✓(0.35² + 0.65²)

= 0.76 miles.

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Answer:

The nth term rule of the quadratic sequence is \(2n^{2} +5n-3\).

Step-by-step explanation:

We are given the following quadratic sequence below;

4, 15, 30, 49, 72, 99, 130,...

As we know that the formula for the nth term of the quadratic sequence is given by =  \(an^{2}+bn+c\)

Firstly, we will find the difference between the term of the given sequence;

1st difference of the given sequence;

(2nd term - 1st term), (3rd term - 2nd term), (4th term - 3rd term), (5th term - 4th term), (6th term - 5th term), (7th term - 6th term)

= (15 - 4), (30 - 15), (49 - 30), (72 - 49), (99 - 72), (130 - 99),....

= (11, 15, 19, 23, 27, 31,.....)

Now, we will find the second difference of the given sequence, i.e;

= (15 - 11), (19 - 15), (23 - 19), (27 - 23), (31 - 27),....

= (4, 4, 4, 4, 4)

Since the differences are same now, so to find the value of a we have to divide the value of second difference by 2, i.e;

The value of a  =  \(\dfrac{4}{2}\) = 2

SO, the first term of the nth term rule equation is \(an^{2}\) = \(2n^{2}\).

Now, in the term \(2n^{2}\), put the value of n = 1, 2, 3, 4 and 5 and then form the sequence, i.e;

If n = 1, then \(2n^{2}\) = \(2 \times (1)^{2}\) = 2

If n = 2, then \(2n^{2}\) = \(2 \times (2)^{2}\) = 8

If n = 3, then \(2n^{2}\) = \(2 \times (3)^{2}\) = 18

If n = 4, then \(2n^{2}\) = \(2 \times (4)^{2}\) = 32

If n = 5, then \(2n^{2}\) = \(2 \times (5)^{2}\) = 50

SO, the sequence formed is (2, 8, 18, 32, 50).

Now, find the difference of this sequence and the original quadratic sequence, i.e;

= (4 - 2), (15 - 8), (30 - 18), (49 - 32), (72 - 50)

= (2, 7, 12, 17, 22)

Now, as we can see that the above sequence resembles the general form of (5n - 3) because:

If we put n = 1, then (5n - 3) = 5 - 3 = 2

If we put n = 2, then (5n - 3) = 10 - 3 = 7 and so on....

From this, we concluded that the value of b and c are 5 and (-3) respectively.

Hence, the nth term rule for the given quadratic sequence is \(2n^{2} +5n-3\).

Answer: Consider me the brainiest. The answer is... Decimal form =4.083

Exact form= 49/12

The mixed number form=4 1/12

How do we solve fractions step by step?

Conversion a mixed number 2  1/3 to a improper fraction: 2 1/3 = 2  1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3

To find a new numerator

A;   Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one-third are seven-thirds.

Conversion a mixed number 1  3/4 to a improper fraction: 1 3/4 = 1  3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4

To find a new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4

b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7

c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.

Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It

is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions.  The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12.  It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling.  In other words - seven thirds plus seven quarters is forty-nine twelfths.

Answer:

2pier is the formula for circumference

Step-by-step explanation:

Answer:

213 points

The y-intercept is how many points Jackson already scored, and the slope is how many points he is scoring every game.

Step-by-step explanation:

Jackson earns 28 points per game, so after 6 games, he earns 168 points (just multiply 6 by 28). He already scored 45 points, so if you add them together, he scored a total of 213 points.

The y-intercept is 45, what he already scored, and the slope is 28, how many points he scores per game.

Hope I helped!!!

Answer:

\(x=\frac{\sqrt{14} }{2}\)

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures \(45^o\). Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

\((\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}\)

We use just the positive root, since we are looking for an actual length. then, the requested side is:

\(x=\frac{\sqrt{14} }{2}\)

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.

Let's choose some x-values and calculate the corresponding y-values:

For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4

For x = -1, y = 4(4)^(-1) = 4(1/4) = 1

For x = 0, y = 4(4)^0 = 4(1) = 4

For x = 1, y = 4(4)^1 = 4(4) = 16

For x = 2, y = 4(4)^2 = 4(16) = 64

Now we can plot these points on a coordinate plane and connect them to form the graph of the function.

The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.

The domain of the function is all real numbers since there are no restrictions on the values of x.

The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.

The set of side measurement could be used to form a triangle is option(4) 7, 12 and 18

If the sides of the triangles are a, b and c. There will be three condition

a + b > c

b + c > a

c + a > b

We have to check these condition

Part 1

The sides are 3, 5 and 7

3 + 5 > 11

8 < 11

It does not form a triangle

Part 2

The sides are 4, 18 and 23

4+18 >23

22 < 23

It does not form a triangle

Part 3

The sides are 5, 9 and 14

5+9 > 14

14 = 14

It does not form a triangle

Part 4

The sides are 7, 12 and 18

7+12 > 18

19 > 18

12 + 18 > 7

30 > 7

7+18 > 12

25 > 12

It forms a triangle

Hence, the set of side measurement could be used to form a triangle is option(4) 7, 12 and 18

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Given:

Let's evaluate the integral:

Thus, we have:

Expand using distributive property:

ANSWER:

Answer:

SSS

Step-by-step explanation

youre given only side conguencys, so you cant prove the angles are conguent

Answer:

B) \(4i\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)

On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

he diameter of the ball bearings varies according to a distribution that is approximately Normal

mean 11.5 mm and standard deviation 0.05 mm

the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm

Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

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Answer:

Step-by-step explanation:

sin² x + cos² x = 1

\(\frac{1}{cosx}\) = sec x

( \(\frac{1}{cosx}\) )² = sec² x

The other Washington DC landmark with coordinates (8,-10) is located in the fourth quadrant of the map.

To determine in which quadrant of the map a point with coordinates (8,-10) is located, we need to look at the signs of the x and y coordinates.

Since the x-coordinate (8) is positive and the y-coordinate (-10) is negative, this point is located in the fourth quadrant.

In general, the four quadrants of a Cartesian coordinate system are divided by the x and y-axes.

The first quadrant is located in the upper right-hand corner and contains points with positive x and y coordinates.

The second quadrant is located in the upper left-hand corner and contains points with negative x and positive y coordinates.

The third quadrant is located in the lower left-hand corner and contains points with negative x and y coordinates.

Finally, the fourth quadrant is located in the lower right-hand corner and contains points with positive x and negative y coordinates.

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The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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The result of  the expression 2 + 5^3 is 127.

To solve the expression 2 + 5^3, you need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

In this case, the exponentiation should be performed first.

Step 1: Calculate 5^3

5^3 means raising 5 to the power of 3, which is equivalent to multiplying 5 by itself three times: 5 * 5 * 5 = 125.

Step 2: Add 2 to the result from Step 1.

2 + 125 = 127.

Therefore, the result of 2 + 5^3 is 127.

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First we will assign the variables

second exam: x

third exam: y

Because the second score is 4 less than the third

x=y-4

with this information, we can rewrite

second exam: y-4

third exam: y

Now, we have this equation of average

(82+y+y-4)/3=72

(2y+78)/3=72

then we can clear y

2y+78=216

2y=216-78

2y=138

y=138/2

y=69

69 on the third exam

65 on the second exam