You return from a trip with 130 British pounds. How much are your pounds worth in U.S. dollars?​

Answer: To write a percentage as a decimal, simply divide it by 100. For example, 50% becomes 0.5, 20% becomes 0.2, 1% becomes 0.01 and so on. We can calculate percentages using this knowledge. 50% is the same as a half, so 50% of 10 is 5, because five is half of 10 (10 ÷ 2).

Step-by-step explanation:

The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

To know more about Shelter.

https://brainly.com/question/26279394

#SPJ11

The probability of the combined event that the next six days are all sunny is 1/4096

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

Probability that it is sunny = 1/4

Probability that it is cloudy = 3/4

Number of days = 6

The probability for all six days, it is sunny is represented as

Probability = Probability that it is sunny^Number of days

Substitute the known values in the above equation, so, we have the following representation

Probability = (1/4)⁶

Express as decimal

Probability = (0.25)⁶

Evaluate the exponent

Probability = 1/4096

Hence, the probability is 1/4096

Read more about probability at

https://brainly.com/question/251701

#SPJ1

Answer:

(-b±√(b²-4ac))/(2a)

Step-by-step explanation:

Answer:

This is my alt

Step-by-step explanation:

1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.

2 The expression  3ˣ⁺¹=3 is matched with graph C.

3) The expression 4ˣ = 3 is matched with graph

4 ) The expression 1ˣ/4 = 3 is matched with graph

1) The graph of the expression 2⁻ˣ⁺³ = 3  represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).

2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.

3)  The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.

4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.

Learn more about graph at:

https://brainly.com/question/25799000

#SPJ1

Answer:

11 feet every minute

Step-by-step explanation:

We first need to figure out how far you traveled up.

240 - 130 = 110

Now, we can solve for the average rate of elevation.

If you travel 110 feet in 10 minutes, we can do this equation:

110 ÷ 10 = 11

The average change of elevation, every minute, was 11.

If the circle is dilated by a factor of 2, the equation of the circle is: C. (x + 3)² + (y - 2)² = 18.

In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;

(x - h)² + (y - k)² = r²

Where:

By critically observing the graph of this circle, we have the following parameters:

By substituting the given parameters into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - (-3))² + (y - 2)² = 3²

(x + 3)² + (y - 2)² = 9.

By dilating with a scale factor of 2, we have:

(x + 3)² + (y - 2)² = (9 × 2)

(x + 3)² + (y - 2)² = 18

Read more on equation of a circle here: brainly.com/question/15626679

#SPJ1

The value of x in this problem, considering the intersecting chords, is given as follows:

x = 10.

A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.

When two chords intersect each other, then the products of the measures of the segments of the chords are equal.

Hence the value of x is obtained as follows:

12x = 15 x 8

12x = 120

x = 10.

More can be learned about the chords of a circle at brainly.com/question/16636441

#SPJ1

The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.

Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.

To learn more about data
https://brainly.com/question/25639778
#SPJ1

Answer:

r = 3.797 cm

h = 7.594 cm

Step-by-step explanation:

The cylinder volume  V = πr² h

So, given that the volume = 344 ml

Then,

344 = πr² h

Make h the subject of the formula:

\(h = \dfrac{344}{\pi r^2}\)  ----- (1)

Similarly, the surface area of a cylinder is expressed by:

A = 2πr² h + 2 πr²   ---- (2)

If we replace the value of h from above in  (1) to (2)

Then;

\(A = 2 \pi r (\dfrac{344}{\pi r^2})+2 \pi r^2\)

\(A = \dfrac{688}{r}+ 2 \pi r^2\)

Taking the differential of A with respect to r, we have:

\(\dfrac{dA }{dr} =- \dfrac{688}{r^2}+ 4 \pi r\)

Set \(\dfrac{dA }{dr}=0\) for the minimum surface area.

So,

\(0 =- \dfrac{688}{r^2}+ 4 \pi r\)

\(\dfrac{688}{r^2} =4 \pi r\)

Divide both sides by 4

\(\dfrac{177}{r^2} = \pi r\)

\(r^3 = \dfrac{172}{\pi}\)

\(r = \sqrt[3]{\dfrac{172}{\pi}}\)

r = 3.797 cm

From (1), the height is:

\(h = \dfrac{344}{\pi r^2}\)  

\(h = \dfrac{344}{\pi (3.797)^2}\)

h = 7.594 cm

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

for more questions on down payment

https://brainly.com/question/1698287

#SPJ8

Answer:

17.8

Step-by-step explanation:

You have to add 9.2 and 63 and the subtract from 90. Hope this helped! <3

Answer:

8

Step-by-step explanation:

you do 32/4 which is 8 so the anwer should be 8

Hey there!

\( \displaystyle{ \red{ \boxed{ \green{ \bold{m = - 1}}}}}\)

\( \\ \)

To find the slope of a line using two points \( \displaystyle{(x_1 , y_1)} \) and \( \displaystyle{(x_2 , y_2)} \) , we can use the slope formula.

This formula corresponds to the quotient of the change in y \( \: \) over \( \: \) the change in x :

\( \displaystyle{m = \frac{ \blue{y_2} - \orange{y_1}}{ \green{x_2} - \red{x_1} }}\)

\( \\ \)

\( \hookrightarrow \) We are given the points (-2 , 3) and (-5 , 6) where:

\( \\ \)

\(\displaystyle{ \hookrightarrow m = \frac{\blue{6} - \orange{3}}{\green{-5} - \red{(-2)}}} \\ \\ \displaystyle{\implies m=\frac{3}{-3}} \\ \\ \displaystyle{\purple{\implies} \boxed{\bold{m=-1}}}\)

Therefore, the slope of the line is -1.

\( \\ \)

▪️Learn more about finding the slope of a line from 2 points :

↣https://brainly.com/question/19708647

Answer:

7:13

Step-by-step explanation:

as both no. are prime no.s the ratio will not be reduced.

Answer:

D. its a two dimensional object

Answer:

A. It is a polygon

C. It is a one-dimensional object

The shape is a polygon in two dimensions since a polygon must have at least three straight sides.

On a coordinate plane, a cubic root function is shown. It has a point of inflection at (0, -4). Then the equation will be y = - x³ - 4.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y = f(x + c) (same output, but c units earlier)

Right shift by c units:

y = f(x - c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = 1/k × f(x)

The graph is given below.

y = x³

On a coordinate plane, a cubic root function is shown. It has a point of inflection at (0, -4). Then the equation will be

y = - x³ - 4

Learn more about transforming functions here:

https://brainly.com/question/17006186

#SPJ1

Answer:

D

Step-by-step explanation:

Edge 2022

The option that indicates the required sum when n equals 0 to 4 of 2 minus 5 times n, is 2 + (−3) + (−8) + (−13) + (−18) (Option C)

The sum of the terms of a sequence is called a series.

From the given sum of a sequence, we are to find the sum of the given sequence from n = 0 to n = 4

When n = 0

a(0) = 2 - 5(0)

a(0) = 2 - 0

a(0) = 2

When n = 1

a(1) = 2 - 5(1)

a(1) = 2 -5

a(1) = -3

When n = 2

a(2) = 2 - 5(2)

a(2) = 2 - 10

a(2) = -8

When n = 3

a(3) = 2 - 5(3)

a(3) = 2 - 15

a(3) = -13

When n = 4

a(4) = 2 - 5(4)

a(4) = 2 - 20

a(4) = -18

Hence the required sum is 2 + (−3) + (−8) + (−13) + (−18)

Learn more about sum of sequences:
https://brainly.com/question/24160061

#SPJ1

The required sum is 2 + (−3) + (−8) + (−13) + (−18)  when n equals 0 to 4 of 2 minus 5 times n, which is the correct answer that would be an option (C).

The given expression is (2 - 5n)

We to determine the sum of the given sequence from n = 0 to n = 4

Let the required sum is  T₀ + T₁  + T₂ +  T₃ + T₄

Substitute the value of n = 0 in the expression (2 - 5n) to get T₀

⇒ T₀ = 2 - 5(0) = 2 - 0 = 2

Substitute the value of n = 1 in the expression (2 - 5n) to get T₁

⇒ T₁ = 2 - 5(1)  = 2 -5 = -3

Substitute the value of n = 2 in the expression (2 - 5n) to get T₂

⇒ T₂ = 2 - 5(2) = 2 - 10 = -8

Substitute the value of n = 3 in the expression (2 - 5n) to get T₃

⇒ T₃ = 2 - 5(3) = 2 - 15 = -13

Substitute the value of n = 4 in the expression (2 - 5n) to get T₄

⇒ T₄ = 2 - 5(4) = 2 - 20 = -18

Therefore, the required sum is 2 + (−3) + (−8) + (−13) + (−18)

Learn more about the sequences here:

brainly.com/question/21961097

#SPJ1

The common difference is 4 and the sum of the first 20 terms is 880

Let's use the formula for the nth term of an arithmetic sequence to solve the problem:

a_n = a_1 + (n - 1) d

where a_n is the nth term, a_1 is the first term, n is the number of terms, and d is the common difference.

From the given information, we have:

a_18 = 5 a_2 (1)

a_11 = 52 (2)

We can use equation (1) to substitute for a_18 in terms of a_2:

a_18 = a_2 + 16d (3)

where d is the common difference. Substituting equation (3) into equation (1), we get:

a_2 + 16d = 5 a_2

4 a_2 = 16d

a_2 = 4d

Substituting this into equation (3), we get:

a_18 = 68d

Now, we can use the formula for the sum of the first n terms of an arithmetic sequence:

S_n = n/2 (a_1 + a_n)

Substituting a_1 and a_n in terms of d, we get:

S_n = n/2 [a_1 + (a_1 + (n - 1)d)]

Simplifying, we get:

S_n = n/2 [2 a_1 + (n - 1)d]

We know that a_11 = 52, so we can use the formula to find a_1:

a_11 = a_1 + 10d = 52

Subtracting 10d from both sides, we get:

a_1 = 52 - 10d

Substituting this into the formula for the sum of the first 20 terms, we get:

S_20 = 20/2 [2 (52 - 10d) + 19d]

Simplifying, we get:

S_20 = 10 (52 + 9d)

We still need to find the value of d to calculate S_20. We can use the equation we derived earlier, a_2 = 4d, to solve for d:

a_2 = a_1 + d = 52 - 9d

Substituting a_2 = 4d, we get:

4d = 52 - 9d

13d = 52

d = 4

Substituting this into the formula for S_20, we get:

S_20 = 10 (52 + 9d) = 10 (52 + 36) = 880

Therefore, the sum of the first 20 terms of the arithmetic sequence is 880.

Learn more on arithmetic sequence here;

https://brainly.com/question/6561461

#SPJ1

Answer:

8.5

Step-by-step explanation:

18=2x+1

-1        -1

_______

17=2x

_    _

2     2

8.5=x

Answer:

B

Step-by-step explanation:

It can be figured out by using graph transformations.

When when subtracting directly next to x, it shifts the graph to the left while doing the opposite when adding. Since the graph is to the left, we know it has to be A or B since those are subtracting by 5

Outside of the absolute value, when subtracting, it makes the graph move down. That means we are looking for a -4 which is found in  B

Answer:

Step-by-step explanation:

As per graph we observe:

According to the observations, the equation is:

Correct choice is D

b is y intercept,a is coefficient

Here a is 1/12 as every option contains this factor so don't calculate.

As parabola is opening upwards a is positive

and

y intercept is 2

So the equation is

The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

To learn more about median click :

https://brainly.com/question/28687994

#SPJ1

Answer:

32.38 square m

Step-by-step explanation:

Diameter of semicircle = 5 m

Hence, radius = 5/2 = 2.5 m

Area of figure = Area of rectangle - 2 times area of one semicircle

\( = l \times b - 2 \times \frac{1}{2} \pi {r}^{2} \\ \\ = 10.4 \times 5 - \pi {r}^{2} \\ = 52 - 3.14 \times {(2.5)}^{2} \\ = 52 - 3.14 \times 6.25 \\ = 52 - 19.625 \\ = 32.375 \\ \approx 32.38 \: {m}^{2} \\ \)

Work Shown:

m^2+9m=0

m(m+9)=0

m = 0 or m+9 = 0

m = 0 or m = -9

For more information, check out the topics about factoring and the zero product property.

Note that the line plot or number line for the data above is given as attached.

1) To create an inequality for a line plot using the given data set, we can use the minimum and maximum distances as the endpoints of the inequality.

The minimum distance is 1 3/8, which is equivalent to 1.375 miles. The maximum distance is 3 1/4, which is equivalent to 3.25 miles.

Therefore, the inequality can be written as:

1.375 ≤ x ≤ 3.25

where x represents the distance of a ski trail in miles.

This inequality states that any value of x (distance of a ski trail) that is between 1.375 and 3.25, inclusive, is a valid value for the data set.


2. The total number of ski trails is 12.

3. The difference in length between the longest ski trail (3 1/4) and the shortest ski trail (1 3/8) is: 3 1/4 - 1 3/8 = 1 7/8

4. The total length of the ski trails that are 2 7/8 is:

2 7/8 + 2 7/8 + 2 7/8 = 8 1/4

5. The sum of the lengths of the shortest (1 3/8) and the longest (3 1/4) ski trails is:

1 3/8 + 3 1/4 = 4 5/8

6. Sam is correct. The longest ski trail is 3 1/4 miles and the shortest ski trail is 1 3/8 miles, so:

3 1/4 > 3 * 1 3/8

10 1/4 > 4 1/8

2.5 > 1

Therefore, the longest ski trail is indeed more than three times the length of the shortest ski trail.

Learn more about Number Line at:

https://brainly.com/question/16191404

#SPJ1

Answer:

277 cm

Step-by-step explanation:

\(A=l*w\\3,878=l*14\\l=\frac{3,878}{14} \\l=277\)

Answer:

  f(x) = (x +4)(x -1)(x -2)²

Step-by-step explanation:

The given points are all x-intercepts of the function. As such, each corresponds to a factor of the function. The x-intercept x=p corresponds to factor (x-p), for example.

Here, the x-intercept (2, 0) is repeated. It is said to have "multiplicity 2". That multiplicity value means the factor will have an exponent of 2 in the factored form of the function:

  f(x) = (x -(-4))(x -2)(x -1)(x -2)

  f(x) = (x +4)(x -1)(x -2)²

_____

Additional comment

When an x-intercept has even multiplicity, the graph will touch the axis there, but will not cross.