given that £1=$1..62 what is 650 pounds in dollars

Step-by-step explanation:

is this simultaneous equation

reply in the comments

The graph of the given equation is attached below.

The equation of a line in slope-intercept form is expressed as y = mx + b.

Given an xy plane, we are to plot the graph of the given equation

y = -2/3 x + 1

The given equation has a slope of -2/3 and a y-intercept of 1. This shows that the constructed line must cut the y-axis at the point (0, 1).

The graph of the equation is attached below.

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The average change in weight calculated by the researcher for the sample of 25 freshmen is an example of a statistic.

A statistic is a numerical summary of a sample that is used to make inferences about a population. In this case, the sample is the 25 freshmen, and the population could be all freshmen entering college.

The average change in weight is a statistic because it summarizes the data collected from the sample, and is used to make conclusions about the population.

It represents the typical or average amount of weight gained or lost by the freshmen in the sample during their first semester in college.

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Answer:3 1/3

Step-by-step explanation:5/1 x 2/3=10/3=3 1/3

Answer: x=6

Step-by-step explanation:

\(5x+4x-68=34-8x\\\\9x-68=34-8x\\\\9x-68+8x=34-8x+8x\\\\17x-68=34\\\\17x-68+68=34+68\\\\17x=102\\\\Divide \ both \ parts\ of\ the\ equation\ by\ 17:\\\\x=6\\\)

Your friend should have added 68 to each side of the equation, but instead subtracted 68 from the right side.

\(17x=34-68\\17x=-34\)

Divide both parts of the equation by 17:

\(x=-2\)

The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.

1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.

2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.

3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.

4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.

Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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The Stafford loan will have a lower balance by $272.54 at the time of repayment.

For the Stafford Loan, the principal is $10,720 and the interest rate is 5.95% compounded monthly, so the monthly interest rate is 0.0595/12 = 0.00495833.

After 12 months, the balance of the loan will be:

$10,720(1 + 0.00495833)¹² = $11,204.60

After the time of six-month grace period, the balance will be:

$11,204.60(1 + 0.00495833)⁶ = $11,689.66

For the PLUS Loan, the principal is $11,443.63 and the interest rate is 6.55% compounded monthly, so the monthly interest rate is 0.0655/12 = 0.00545833.

After 12 months, the balance of the loan will be:

$11,443.63(1 + 0.00545833)¹² = $11,962.20

Therefore, the Stafford Loan will have a lower balance at the time of repayment by:

$11,962.20 - $11,689.66 = $272.54

Hence, the Stafford loan will have a lower balance by $272.54 at the time of repayment.

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If the slope of a line is 0, then the line is parallel to the X - axis. that means value of y will be same for each value of x,

So, the value of r = 2 ( same as the one in (-5 , 2))

Answer: \(y=-\frac{1}{7} x+22\)

Step-by-step explanation:

For a line to be parallel to another, it must have an equivalent slope.  The equation, \(y=-\frac{1}{7} x-56\), is in slope-intercept form.  Thus, the slope of both lines must be -1/7.  Then, using the slope-intercept formula, plug in 7 for x and 21 for y to get:

\(21=-\frac{1}{7} *7+b\)

\(21=-1+b\)

\(22=b\)

Thus, the slope of the line is: \(y=-\frac{1}{7} x+22\).

Hope it helps :D

Answer:

Step-by-step explanation:

y= -1/7 + 22

Part 1

The area of one triangle is \((1/2)(7)(10)=35\). Multiplying this by 4 yields \(\boxed{140}\).

Part 2

\((10+7)^2=\boxed{289}\)

Part 3

\(289-140=\boxed{149}\)

Part 4

\(10^2+7^2=\boxed{149}\)

Part 5

The statement is missing.

1) The total combined area of the four triangles is: 140; 2) The area of the outer square is c² = c * c; 3) The area of the small inner square is: c² - 70; 4) The sum of the squares of the two legs of a right triangle is: 149.

Part 1:

The area of each triangle is (a * b) / 2, so the total combined area of the four triangles is 4 * (a * b) / 2 = 2 * 7 * 10 / 2 = 70.

Part 2:

The side length of the outer square is c, the hypotenuse, so the area of the outer square is c² = c * c.

Part 3:

The area of the small inner square is the area of the outer square minus the total combined area of the four triangles, so it is c² - 2 * 7 * 10 / 2 = c² - 70.

Part 4:

The formula for the sum of the squares of the two legs of a right triangle is a² + b² = c², so a² + b² = 7² + 10² = 49 + 100 = 149.

Part 5:

c > a and c > b, so c > 7 and c > 10. Therefore, c must be the largest of the three values: a, b, and c.

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Answer:

Option (C)

Step-by-step explanation:

Option A.

Ratio of table spoons of sugar to ounces of iced tea = \(\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}\)

From the table attached,

Ratio = \(\frac{6}{24}\)

         = 1 : 4

Option B.

Ratio of sugar to ounces of iced tea = \(\frac{3}{18}\)

                                                            = 1 : 6

Option C.

Ratio of sugar to ounces of iced tea = \(\frac{1}{3}\)

                                                            = 1 : 3

Option D.

Ratio of sugar to ounces of iced tea = \(\frac{7}{24}\)

                                                            = 7 : 24

                                                            ≈ 1 : 3.43

Since, highest ratio means biggest fraction (with least denominator).

From the given options, biggest fraction is \(\frac{1}{3}\).

Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).

Answer:

#1=8

#2=3

Step-by-step explanation:

Based on Alonso's budget, he can get 3.7 bags of avocados and the cost of 3 bags of avacodes or 9 avacadoes is $15.

21 = 2.50 + 5x

21 - 2.50 = 5x

18.50 = 5x

x = 18.50 / 5

x = 3.7 bags of avocados

To get 3 bags of avocados or 9 avocados

= $5 × 3

= $15

Therefore, Alonso can get 3.7 bags of avocados and the cost of 3 bags of avacodes or 9 avacadoes is $15.

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95% confident that the prevalence in the population lies between 4.1% and 8.7%.

We want to determine if the observed proportion in the 1990s (6.4%) is significantly different from the prior prevalence in the 1970s (7.5%). To do this, we will use a two-sided alternative hypothesis.

H0: p1 = p2

H1: p1 ≠ p2

Where p1 is the proportion from the 1970s and p2 is the proportion from the 1990s.

We will use a significance level of α = 0.05.

Calculations:

n1 = 2673

p1 = 0.075

n2 = 170

p2 = 0.064

Standard Error:

SE = sqrt((p1*(1-p1)/n1) + (p2*(1-p2)/n2))

SE = 0.012

Absolute Difference:

AD = |p1-p2|

AD = 0.011

z-score:

Z = AD/SE

Z = 0.917

The z-score is lower than the critical value of 1.96, therefore we fail to reject the null hypothesis, and can conclude that the observed proportion is not significantly different from the prior prevalence.

We can also create a 95% confidence interval for the prevalence in the population.

CI = p2 ± 1.96*SE

CI = 0.064 ± 0.023

CI = (0.041, 0.087)

This means that we are 95% confident that the prevalence in the population lies between 4.1% and 8.7%.

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Answer:

254 books total

Step-by-step explanation:

42 divided by 7 equals 6

Then you will take 42 times 6 to get the full answer

You will get 254

Answer:

The answer is 494 dollars

Step-by-step explanation

30% of 380 is 114 and then you add 380 to 114 and you get 494 dollars

Answer: I think its 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

volume of the unit cube:

V = 1 * 1 * 1 = 1

volume of the half-cube:

V = 1/2 * 1 * 1 = 1/2

number of half cubs that fit in unit cube:

1/(1/2) = 2

Answer: 2

The parametric equation are x = a cost and y = a sint and moves in counterclockwise direction.

According to the statement

we have given that the Find parametric equations and a parameter interval for the motion of a particle that starts at (a,0) and traces the circle \(x^{2} + y^{2} = a^{2}\) once counterclockwise.

And we have to find the parametric equation for this given statement.

So,

A parametric equation defines a group of quantities as functions of one or more independent variables called parameters.

Then

A particle that starts at (a,0) and traces the circle \(x^{2} + y^{2} = a^{2}\) once counterclockwise.

The parametric equations for a circle \(x^{2} + y^{2} = a^{2}\) and stats at (a,0) are

x = a cost

y = a sint

It requires going around a circle once.

Therefore required parametric equations are x = a cost and y = a sint and

\(0\leq t\leq 2\pi\).

So, The parametric equation are x = a cost and y = a sint and moves in counterclockwise direction.

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Question:

Find parametric equations and a parameter interval for the motion of a particle that starts at (a,0) and traces the circle \(x^{2} + y^{2} = a^{2}\) once counterclockwise.

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Answer:

9

Step-by-step explanation:

i can not really tell what letters are on the picture but i think it is 9

Answer:

108 degrees

Step-by-step explanation:

3x+x+6x=10x, 180/10=18 and 18x6 is 108

Answer:

\(\huge\boxed{V=64cm^3}\)

Step-by-step explanation:

The formula of a surface area of a cube:

\(SA=6a^2\)

The formula of a volume of a cube:

\(V=a^3\)

We have

\(SA=96cm^2\)

Calculate the edge length (a).

\(6a^2=96\)           divide both sides by 6

\(a^2=16\to a=\sqrt{16}\\\\a=4(cm)\)

Calculate the volume of a cube:

\(V=4^3=64(cm^3)\)

The geometric means between -5 and -125 is; 25

To find the geometric mean between two numbers, we simply find the square root of the product of the two numbers.

For example, geometric mean between A and B is;

G.M = √(A * B)

Thus, geometric mean between -5 and -125 is;

G.M = √(-5 * -125)

G.M = √625

G.M = 25

There could be other geometric means between this like;

G.M = √(-5 * -45) = 15

Or GM = √(-10 * -40) = 20

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The allotrope of carbon that exists as interconnected rings that assume a cylindrical shape is called Carbon nanotube.

Carbon nanotubes (CNTs) are allotropes of carbon that have a cylindrical nanostructure. They have an impressive strength-to-weight ratio, a high chemical resistance, and unique electrical properties. They can be either single-walled or multi-walled, depending on the number of cylinders.The term "carbon nanotubes" encompasses a variety of structures, all of which have different diameters and lengths. The term "nanotube" is used since their diameters are on the order of a few nanometers (approximately 1/50,000th the width of a human hair).

Carbon nanotubes are one of the most significant discoveries in nanotechnology because of their unique properties.

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Answer:

area= 22cm× 14cm= 308cm²

please mark it as brainlist answer

Step-by-step explanation:

An equation to represent the relationship between miles driven (y) and gallons of gas (x) used is \(28=ky\)

Given the following data:

Distance = 28 miles

To write an equation to represent the relationship between miles driven (y) and gallons of gas (x) used:

In this exercise, we would assign a variable to the parameters stated in the question in order to write an equation to represent the relationship between miles driven (y) and gallons of gas (x) used by Weston’s car during the trip.

Also, the amount of gas used up by a car is directly proportional to the distance traveled by the car. Mathematically, this is given by this expression:

\(x\; \alpha \;y\\ \\ x=ky\)

Substituting the given parameters into the formula, we have;

\(28=ky\)

Note: k is the constant of proportionality.

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