Need help with puzzle

Answer:

None of these answers are correct

Step-by-step explanation:

arc length =0/360×2pir

38pi=34/360×2×pi×r

38=1496r/2520

cross multiply

1496r=38×2520

1496r=95760

divide both sides by 1496

1496r/1496=95760/1496

r=64.01

C=2pir

C=2×22/7×64.01

C=402.35in

The table of values of the equation y = 4x + 2 is added below

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

y = 4x + 2

To create a table for the line y = 4x + 2 where x is between 1 and 3, we simply substitute values for x within the given range and solve for y.

x y

1 6

2 10

3 14

Therefore, when x is between 1 and 3, the corresponding values of y for the line y = 4x + 2 are 6, 10, and 14.

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The standard deviation of the sampling distribution of sample means is 4.5.

What is standard deviation?

Standard deviation is a statistical measure that is used to quantify the amount of variability or dispersion of a set of data values around their mean or average. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.

The standard deviation of the sampling distribution of sample means (also known as standard error) is given by:

σ/√n

where σ is the population standard deviation and n is the sample size.

Substituting the given values, we get:

9/√4 = 4.5

Therefore, the standard deviation of the sampling distribution of sample means is 4.5.

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The required volume of the container to the nearest cubic centimeter with a radius of 5 centimeters and a height of 5 centimeters is approximately 131 cubic centimeters.

We are given that the volume of the container varies jointly with the square of its radius, r, and its height, h. This can be expressed mathematically as:

[tex]V = k * r^2 * h[/tex]

where V is the volume of the container, r is the radius, h is the height, and k is a constant of proportionality.

To find the value of k, we can use the given values for the height, radius, and volume of the container:

[tex]V = k * r^2 * h\\616 = k * 7^2 * 12\\k = 616 / (7^2 * 12)\\k = 1.047[/tex]

Now we can use this value of k to find the volume of a container with a radius of 5 cm and a height of 5 cm:

[tex]V = k * r^2 * hV = 0.708 * 5^2 * 5V = 130.875[/tex]

Therefore, the volume of the container to the nearest cubic centimeter with a radius of 5 centimeters and a height of 5 centimeters is approximately 131 cubic centimeters.

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The parametrization of C, given the line segment would be r(t) = (3t, 4t).

Using the parametrization to evaluate the expression gives 41.67.

To find the parametrization of the line segment from (0, 0) to (3, 4). We can use the following formula:

r(t) = (1 - t)A + tB, where A and B are the endpoints of the line segment, and t is the parameter ranging from 0 to 1.

A = (0, 0)

B = (3, 4)

r(t) = (1 - t)(0, 0) + t(3, 4)

r(t) = (3t, 4t)

Now, we have the parametrization of the line segment C: r(t) = (3t, 4t).

To evaluate the integral ∫_{C} (x² + y²) ds. We will need to calculate the derivative of r(t) with respect to t:

dr(t)/dt = (3, 4)

Now, find the magnitude of the derivative:

||dr(t)/dt|| = √(3² + 4²) = √(9 + 16) = √25 = 5

x² + y² = (3t)² + (4t)² = 9t² + 16t² = 25t²

Set up the integral:

∫_{C} (x² + y²) ds = ∫_{0}^{1} 25t²(5) dt = 125 ∫_{0}^{1} t² dt

Integrate with respect to t:

125 [t^3/3] |_{0}^{1} = 125(1/3 - 0) = 125/3

The value of the integral ∫_{C} (x² + y²) ds is 125/3.

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Answer:

3/100, 0.3, 33/100, 3.03, 3 3/10, 3.33

Answer:

~

Step-by-step explanation:

To make it easier to graph using a translation, we can rewrite the given equation as:

y - 5 = √√4x + 16

This is obtained by subtracting 5 from both sides of the equation.

The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.

The probability that a randomly selected car is silver and has air conditioning is 23.81%.

The probability that a car is silver and has air conditioning will take the form :

P( Silver ∩ Air conditioning ) = P(Silver ) + P(Air conditioning) - P(Silver ∪ Air conditioning)

The individual probabilities would be:

P (Silver ) = 18/63

P ( Air conditioning ) = 57/63

P (Silver ∪ Air conditioning) = 60/63

So then the probability is:

P( Silver ∩ Air conditioning ) = (18/63) + (57/63) - (60/63)

= (18 + 57 - 60)/63

= 15/63

= 5/21

= 23.81%

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Answer:

baljeet by 5x2

Step-by-step explanation:

Answer:

The measure of the angle is 22 degrees.

Answer/Solution

x is x = 1/432.

Step-by-step explanation:

Hope This Helps!

Answer: 11x-75y

Step-by-step explanation: Hope this is what you're looking for.

Answer:

11x -75y

Step-by-step explanation:

To solve this problem you first have to distribute and simpify.

In this problem you have a -(61x+27y), the parentnesses and the - sign in front tells us you need to distribute the parentnessess. Doing this gives us an answer of -61x -27y.

The next step is to combine like terms and simiplfy.

[tex](72x-61x)+(-48y-27y)\\\\11x -75y[/tex]

So know we have our answer.

a 5 line ad costs $32. Expressing this as an ordered pair, we have (5, 32).

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

We are given that the cost of placing an ad x lines long is given by y = 4x + 12.

To find the cost of a 5 line ad, we can substitute x = 5 into the equation:

y = 4x + 12

y = 4(5) + 12

y = 20 + 12

y = 32

Therefore, a 5 line ad costs $32. Expressing this as an ordered pair, we have (5, 32).

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Answer:

y = 53.12681315

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

Step-by-step explanation:

A because its graph

The water bill for the given service period is: $384.30

Algebraic word problems are defined as questions that require translating sentences to equations, then solving those equations. The equations we need to write will only involve basic arithmetic operations. and a single variable. Usually, the variable we will use represents an unknown quantity especially in a real-life scenario.

We are given the parameters as:

Jack's previous meter reading = 34,765 ccf

Jack's  present water reading = 36,900 ccf

Cost per ccf of water

Difference in water reading = 36900 - 34765

Difference = 2135 ccf

Thus:

Water bill for service period = 0.18 * 2135

= $384.30

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A quadratic function in standard form that models the data is f(x) = f(x) = 0.5x² + 4x - 8.

In order to determine a quadratic function for the line of best fit that models the data points contained in the graph (scatter plot), we would have to use a graphing calculator (Microsoft Excel).

Based on the scatter plot (see attachment) which models the relationship between the x-values and y-values, a quadratic function for the line of best fit is given by:

f(x) = f(x) = 0.5x² + 4x - 8

In conclusion, we can reasonably infer and logically deduce that the scatter plot most likely indicates an inverse relationship between the x-values and y-values.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Step-by-step explanation:

[tex]-5u+6=-12u+62\\\textrm{Add }12u \textrm{ to both sides. }\\-5u+12u+6=-12u+12u+62\\7u+6=62\\\textrm{Subtract 6 from both sides.}\\7u+6-6=62-6\\7u=56\\\textrm{Divide both sides by}7.\\\frac{7u}{7}=\frac{56}{7}\\ u=8[/tex]

Answer:

Step-by-step explanation:

200.00 division ➗️ 66

Answer:

Step-by-step explanation:

Let's find the equation of the line:

y - y1 = m(x - x1)

y - 1 = (-5/6)(x + 5)

y = -5/6x -25/6 + 1

y = -5/6 x - 19/6

So when x = 0, y = -19/6.

Now plot the 2 points  (-5, 1) and (0, -19/6) and draw a line through them to graph the line.

The interest rate is approximately 15.14%.

The interest yοu earn οn interest is knοwn as cοmpοund interest. Simple maths can be used tο demοnstrate this: if yοu have $100 and it earns 5% interest annually, yοu will have $105 at the end οf the first year.

We can use the fοrmula fοr cοmpοund interest:

[tex]A = P (1 + r/n)^{(nt)[/tex]

where:

A = final amount

P = initial principal (starting balance)

r = interest rate (in decimal form)

n = number of times interest is compounded per year

t = time (in years)

Using the information given in the problem, we have:

P = $312.50

A = $1250

t = 9 years

Substituting these values into the formula, we get:

[tex]1250 = 312.50 (1 + r/n)^{(n*9)[/tex]

Dividing both sides by 312.50, we get:

[tex]4 = (1 + r/n)^{(n*9)[/tex]

Taking the ninth root of both sides, we get:

[tex](1 + r/n)^n = 1.167[/tex]

As n approaches infinity (continuous compounding), the left side of the equation approaches [tex]e^r[/tex], where e is the mathematical constant approximately equal to 2.71828. Therefore, we can rewrite the equation as:

[tex]e^r = 1.167[/tex]

Taking the natural logarithm of both sides, we get:

[tex]ln(e^r) = ln(1.167)[/tex]

Using the property that [tex]ln(e^x) = x[/tex], we simplify the left side to:

r = ln(1.167)

Using a calculator, we find:

r ≈ 0.1514

Therefore, the interest rate is approximately 15.14%.

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Since we are only interested in the positive solution, the time it will take for her to land safely on the net is:

t = 1 second.

To write a quadratic function to represent the height h of the acrobat t seconds after the jump, we can use the following formula:

[tex]h(t) = -16t^2 + vt + h0[/tex]

Where h0 is the initial height of the acrobat, which is 25 feet, and v is the initial vertical velocity, which is 4 ft/s. Plugging in these values, we get:

[tex]h(t) = -16t^2 + 4t + 25[/tex]

To find how long it will take for her to land safely on the net, we need to find the time at which h(t) = 5. In other words, we need to solve the equation:

[tex]-16t^2 + 4t + 25 = 5[/tex]

Simplifying this equation, we get:

[tex]-16t^2 + 4t + 20 = 0[/tex]

Dividing both sides by -4, we get:

[tex]4t^2 - t - 5 = 0[/tex]

Now we can use the quadratic formula to solve for t:

[tex]t = (-b ± \sqrt(b^2 - 4ac)) / 2a[/tex]

Where a = 4, b = -1, and c = -5. Plugging in these values, we get:

[tex]t = (1 ± \sqrt(1 + 4(4)(5))) / 8[/tex]

Simplifying this equation, we get:

[tex]t = (1 ± 9) / 8[/tex]

So, the two solutions are:

[tex]t = 1 and t = -5/4[/tex]

Since we are only interested in the positive solution, the time it will take for her to land safely on the net is:

t = 1 second.

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Answer:

Equally Likely & Unlikely

Explanation:

If terriers make up 50% of the dog shelter that means the 50% that's left is split between the labradors and golden retrievers and the way they're split can be in any way so there's a way anyone can pick any kind of dog no matter the probabilities.

(Also go easy on me if I'm wrong, I'm only in 7th grade)

Answer:

56.552 m²

Step-by-step explanation:

Recall the equation for the area of a circle;

A = πr²

r of smaller circles = 3m

r of larger circle = 3m x 2 = 6m

Area of each smaller circle: 28.274 m²

Area of the larger circle: 113.1 m²

To find the area of the shaded region, take the area of the larger circle - the area of the smaller circle(s).

113.1 m² - 2(28.274 m²) = 56.552 m²

Answer:

The area of the shaded region is 56.55 m² rounded to the nearest hundredth.

Step-by-step explanation:

From inspection of the given diagram, the radius of the two congruent unshaded circles is 3 m.

As the two congruent unshaded circles touch each other and touch the circumference of the larger circle, the radius of the larger circle is the diameter of one of the unshaded circles, i.e. 6 m.

To calculate the area of the shaded region, subtract the areas of the congruent unshaded circles from the area of the larger circle.

The formula for the area of a circle is πr², where r is the radius.

Therefore:

[tex]\begin{aligned}\textsf{Area of shaded region}&=\textsf{Area of larger circle}-2(\textsf{Area of unshaded circle})\\&=\pi \cdot 6^2-2(\pi \cdot 3^2)\\&=36\pi-2(9\pi)\\&=36\pi-18\pi\\&=18\pi\\&=56.5486677...\\&=56.55\;\sf m^2\;(nearest\;hundredth)\end{aligned}[/tex]

Therefore, the area of the shaded region is 56.55 m² rounded to the nearest hundredth.

A bookstore had 90 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/6 of what remained. The bookstore now has 50 copies left.

The problem involves figuring out how many copies of a magazine a bookshop still has after selling a certain percentage of its initial stock over two days. We can deal with the issue by taking the following actions:

Take into account the problem's estimate of the bookshop's initial stock of 90 copies.

Multiply the starting amount by 1/3 to get the number of copies sold yesterday by the bookshop, which is 30.

To determine the number of copies still available at the bookshop, which is 60, subtract the total number of copies sold from the number of copies sold yesterday.

Increase the excess number of duplicates by 1/6 to get the quantity of duplicates sold today at the bookshop.

The final number of copies available at the bookshop, 50, can be determined by subtracting the number of copies sold today from the number of copies that are still available.

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Answer:

Step-by-step explanation:

38,704.29

i hope its right

The statement that is not true about perpendicular lines is:

"Perpendicular lines are rotated 90° clockwise around the origin into lines that are parallel."

What are perpendicular lines?

Perpendicular lines are lines that intersect at a right angle (90 degrees).

A 90° clockwise rotation around the origin interchanges the x and y-coordinates and changes the sign of the new x-coordinate. So, if a point (x,y) is rotated 90° clockwise around the origin, it becomes the point (y,-x).

Now, let's consider the statement about perpendicular lines:

"Perpendicular lines are rotated 90° clockwise around the origin into lines that are still perpendicular."

This statement is actually true. A 90° clockwise rotation around the origin preserves the angle between two lines, so if two lines are perpendicular before the rotation, they will still be perpendicular after the rotation.

Therefore, the statement that is not true about perpendicular lines is:

"Perpendicular lines are rotated 90° clockwise around the origin into lines that are parallel."

This statement is false because a 90° clockwise rotation around the origin does not turn perpendicular lines into parallel lines. Instead, perpendicular lines are still perpendicular after the rotation, as mentioned above.

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Answer:

$1,620

Step-by-step explanation:

If you are looking for a way to make some money, you might be tempted by the offer of a purchase that has a positive expectation. But before you jump into it, you should know what expectation really means and how to calculate it. Expectation is not the same as the actual outcome of a purchase. It is just an average of what you can expect to get in the long run, based on the probabilities of different outcomes. Sometimes you might get more than the expectation, sometimes less, and sometimes nothing at all. For example, suppose you have a chance to buy a lottery ticket that costs $7,200 and has a 50% chance of winning $9,000, a 10% chance of winning nothing, and a 40% chance of losing your money. How do you know if this is a good deal or not? You can use the formula for expectation to find out:

Expectation = (50% x $9,000) + (10% x $0) + (40% x -$7,200)

Expectation = (0.5 x 9,000) + (0.1 x 0) + (0.4 x -7,200)

Expectation = 4,500 + 0 - 2,880

Expectation = 1,620

The expectation of this purchase is $1,620. This means that on average, you can expect to make $1,620 from this purchase in the long run. But this does not mean that you will always make $1,620 every time you buy the ticket. Sometimes you might win $9,000 and be very happy. Sometimes you might lose $7,200 and be very sad. And sometimes you might win nothing and be very bored. The expectation is just an average of all these possible outcomes.

So what does this mean for your decision? Well, it depends on how much you value risk and reward. If you are a risk-taker who likes to gamble and doesn't mind losing money sometimes, then you might go for the purchase with a positive expectation. After all, you have a chance to make more money than you spend in the long run. But if you are a risk-averse person who prefers to play it safe and avoid losses, then you might stay away from the purchase with a positive expectation. After all, you have a chance to lose money or break even in the short term.

The choice is yours. But remember: expectation is not reality. It is just a mathematical tool to help you evaluate your options. Don't let it fool you into thinking that you know what will happen in the future. The only thing that is certain is uncertainty, and luckily this is just Mathematics!

✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧