Jared works as a landscaper. he installs a sprinkler that sprays water in a circle with an 8-foot radius. what is the approximate area covered by the sprinkler?

Answer: ima try

Step-by-step explanation: how i always do it is the second number (-2) you start for the mid point (0,0) if its -2 go down 2 if it 2 go up 2 if its 0 stay there then you go to the first number(2/3) from where you landed thats now the new start point then you go (x,y) in this equation its (2/3) so go up 2 right three but watch out for the negatives. so if it was -2/3 you would go down 2 then right 3

i hoped this helped its hard to explain but I tried

Answer:

Step-by-step explanation:8 inches

89 is the answe 89

You should spend 30 minutes on the elliptical trainer and 10 minutes on the stationary bike.

To solve this problem, we need to set up a system of equations. The first equation will represent the total time spent on the elliptical trainer, and the second equation will represent the total time spent on the stationary bike.

The first equation is: 8x + 6y = 300

The second equation is: x + y = 40

We can solve for x and y using either substitution or elimination. Let's use substitution.

First, we can solve for y in the second equation: y = 40 - x

Then, we can substitute this expression for y in the first equation: 8x + 6(40 - x) = 300

This simplifies to: 8x + 240 - 6x = 300

Combining like terms gives us: 2x = 60

Dividing both sides by 2 gives us: x = 30

Now, we can substitute this value for x in the second equation to find y: y = 40 - 30 = 10

So, you should spend 30 minutes on the elliptical trainer and 10 minutes on the stationary bike.

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Answer:

x=5

Step-by-step explanation:

solution;

6=3x-9(carry alike terms to the same side that'd be +6-9)

+9+6=3x

15=3x(divide both sides by 3)

5=x

(thanks,sorry and welcome)

The solution to the given equation 6 = 3x - 9 would be variable x = 5.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

To determine a solution for the variable in equation 6 = 3x - 9, we can begin by isolating the variable on one side of the equation. To do this, we can add 9 to both sides, giving us:

6 + 9 = 3x

This simplifies to:

15 = 3x

The next step is to divide both sides of the equation by 3, which will give us the value of x.

15/3 = 3x/3

Simplifying we get

5 = x

Thus, the solution for the variable is x = 5.

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To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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Answer:

Therefore, -8(2x-4) simplifies to -16x + 32.

Step-by-step explanation:

-8 * 2x - (-8 * 4)

Simplifying this expression further gives:

-16x + 32

Therefore, -8(2x-4) simplifies to -16x + 32.

Answer:

Step-by-step explanation:

The probability that none of the ants collide while moving along the edges of the equilateral triangle can be calculated as 1/3. Let's consider the possible movements of the ants.

Each ant has two choices: it can either move clockwise or counterclockwise along the edge of the triangle. Since each ant chooses a direction randomly, there are a total of 2 * 2 * 2 = 8 possible outcomes for the movement of the three ants. Out of these 8 possible outcomes, only one outcome corresponds to none of the ants colliding. This is when all three ants choose the same direction (either all clockwise or all counterclockwise). In this case, each ant will move along its respective edge without intersecting the path of another ant.

Therefore, the probability of none of the ants colliding is 1 out of the 8 possible outcomes, which can be simplified to 1/8. However, since the ants start at the three corners of the equilateral triangle, the starting position is symmetric, and any of the three corners can be considered as the reference point. Thus, we multiply the probability by 1/3 to account for this symmetry. Therefore, the probability that none of the ants collide is 1/8 * 1/3 = 1/24, or approximately 0.0417.

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The joint PDF of X and Y is fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.

The joint probability density function (PDF) of X and Y can be obtained by multiplying the individual PDFs of X and Y, as they are independent random variables.

Given:

X ~ Exponential(λ), with mean 1 (λ = 1)

Y ~ Uniform(0, X), for 0 < y < x

To find the joint PDF, we first need to express the PDFs of X and Y.

PDF of X:

fX(x) = λ * exp(-λx) for x > 0 (Exponential distribution with parameter λ)

PDF of Y:

fY(y|x) = 1 / x for 0 < y < x (Uniform distribution on interval [0, x])

Now, we can find the joint PDF by multiplying these individual PDFs:

fx.x (x, y) = fX(x) * fY(y|x)

Substituting the PDFs:

fx.x (x, y) = (λ * exp(-λx)) * (1 / x)

fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x

Therefore, the fully specified joint PDF of X and Y is:

fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.

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In a two-tailed hypothesis test the null hypothesis is rejected.

According to the statement

The test statistic is 3.06 and the critical values are /-2.086.

If we find the value of t by using the formula the then it comes with Negative sign and it lies under the critical region.

That's why In a two-tailed hypothesis test the null hypothesis is rejected.

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The equation of the tangent line to the graph of f(x) at x = 27 is y = (1/3)x + 23 in slope-intercept form.

To find the equation of the tangent line to the graph of the function f(x) = \(9x^{1/3} + 5\) at x = 27, we need to determine the slope of the tangent line and the y-intercept.

First, let's find the derivative of the function f(x) using the power rule. The power rule states that if \(f(x) = cx^n\), then \(f'(x) = cnx^{(n-1)}\)

For (x) = \(9x^{1/3} + 5\) , the derivative f'(x) is given by:

\($f'(x) = \frac{1}{3} \cdot 9 \cdot x^{-\frac{2}{3}} = 3x^{-\frac{2}{3}}$\)

Next, we evaluate f'(x) at x = 27 to find the slope of the tangent line:

\($m = f'(27) = 3 \cdot 27^{-\frac{2}{3}} = \frac{3}{27^{\frac{2}{3}}}$\).

To simplify the expression, we can rewrite \(27^{(2/3)}\) as \((3^{3})^{(2/3)}\), which equals \(3^2 = 9\):

m = 3/9 = 1/3

Now that we have the slope of the tangent line, we can determine the y-intercept. Since the line passes through the point (27, f(27)), we substitute x = 27 into the original function:

f(27) = \(9(27)^{(1/3)}\) + 5 = 9 × 3 + 5 = 27 + 5 = 32.

Therefore, the point on the tangent line is (27, 32).

Using the point-slope form of a linear equation, y - y1 = m(x - x1), where (x1, y1) is a point on the line, we can substitute the values we found:

y - 32 = (1/3)(x - 27).

To write the equation in slope-intercept form y = mx + b, we simplify the equation:

y - 32 = (1/3)x - 9.

Finally, adding 32 to both sides, we obtain:

y = (1/3)x + 23.

Therefore, the equation of the tangent line to the graph of f(x) at x = 27 is y = (1/3)x + 23 in slope-intercept form.

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Answer:

200 actual miles

Step-by-step explanation:

Find the actual distance by multiplying 50 by 4, since there are 50 miles in 1 inch.

50(4)

= 200

So, there are 200 actual miles between the two cities.

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer:

134

Step-by-step explanation:

268/2=134

since its equal both rows should have the same number.

Answer:

(5, 8.66)

Step-by-step explanation:

Let x represent the x coordinate of the clock tip and y represent the y coordinate of the clock tip.

At 12:05 pm, the clock tip forms an angle of 60° with the x axis. Therefore:

θ = 60°

\(tan\theta=\frac{y}{x} \\\\tan60=\frac{y}{x} \\\\y=1.732x\\\\y-1.732x=0\ \ \ (1)\)

Since the minute hand is 10 inches long, hence:

\(\sqrt{x^2+y^2}=10\\\\x^2+y^2=100\\\\substituting\ y=1.732x, gives\\\\x^2+(1.732x) ^2=100\\\\x^2+3x^2=100\\\\4x^2=100\\\\x^2=25\\\\x=5\)

To find y, substitute x = 5:

y = 1.732(5) = 8.66

This means that the coordinate of the tip of the minute hand at: 12:05 p.M. is (5, 8.66)

Yes, Rhoda is right because 10/5 and 4/2 are equivalent to 2.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Rhoda said that 10/5, and 4/ 2 all are equivalent.

Now, We have;

⇒ 10/5 = 2

⇒ 4/2 = 2

Thus, Rhoda is right because 10/5 and 4/2 are equivalent to 2.

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Answer:

False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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Answer:

Area = 18

Step-by-step explanation:

Since the triangles are similar, we can set up a proportion of 10/4.5 = 40/x. The sides on top, with length 10 and 4.5, are similar. This ratio can then be applied to the areas, with the area of rectangle T in the numerator and the area of rectangle U in the denominator, giving us 40/x. To solve for x, we can multiply 40 by 4.5 and then divide the product by 10. This gives us 18, the area of rectangle U.

Answer:

12.14

Step-by-step explanation:

because if 11.44 id added to .7 we add a zero to point .7. .70

11.44

+ .70

12.14

Answer:

12.14

Step-by-step explanation: Because if you add 0.7 to 0.44 then you get 1.14, then you add 1.14 to 11 you get 12.14

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

The ratio of red marbles to blue marbles is 5:9. If there are 25 red marbles. there are 45 blue marbles.

We can use the ratio given to find out how many blue marbles there are if we know the number of red marbles.

The ratio of red marbles to blue marbles is 5:9.

This means that for every 5 red marbles, there are 9 blue marbles.

If there are 25 red marbles, we can set up a proportion to find out how many blue marbles there are:

5/9 = 25/x

where x is the number of blue marbles.

To solve for x, we can cross-multiply:

5x = 9 * 25

5x = 225

x = 45

Therefore, there are 45 blue marbles.

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Answer:

The identities of the terms are;

3 - 53 = y is an equation

7.5 < 2.9 is an inequality

2 + 0 is an expression

t is a term

24" is a term

Step-by-step explanation:

An equation is an expression with the equal to sign

3 - 53 = y is an equation

An inequality is a mathematical expression that contains an inequality sign

7.5 < 2.9 is an inequality

A term is a sole number or variable or the product of variables and numbers that come before and after mathematical operators such as +, ×, -, or ÷

t and 24" are terms.

Answer:

4/15~15.5

Step-by-step explanation:

In a right triangle, the sum of the squares of the

lengths of the legs is equal to the square of the length

of the hypotenuse. The length of the hypotenuse is 16

and the lengths of the legs are 4 and x.

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

The probability that a randomly chosen person from the given population makes a purchase is \(\left(\begin{array}{ccc}p\\1\end{array}\right)\) *0.25.

We can calculate the probability in the following way,

Let the total population of visitors visiting to the online shopping site be P.

The estimated odds of visitors making a purchase on the online shopping website are 0.25

P(E)=0.25 and n=P

We know that the probability mass function is also known as p.m.f. of Binomial Distribution with parameters n and P.

P(X=x) = \(\left(\begin{array}{ccc}n\\x\end{array}\right){p^x}\)* \((1-p)^{(1-x)}\) ; 0 < p < 1 And x=0,1,2,3,...

Probability of one randomly chosen visitor making a purchase= P(x=1)

=\(\left(\begin{array}{ccc}p\\1\end{array}\right)\) 0.25^1 * 0.75^0

=\(\left(\begin{array}{ccc}p\\1\end{array}\right)\)*0.25

Therefore, the Probability of a random visitor making a purchase depends on the value of the population and is equal to \(\left(\begin{array}{ccc}p\\1\end{array}\right)\) * 0.25

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Answer:

16 puppies

Step-by-step explanation:

Answer:26.67

Step-by-step explanation:

if u multiply 0.67 will see that yo will get the same answer that is above

The following statements are true:

Segment DEF is parallel to ABC

The line segment  AB is parallel to DE

Line FC is parallel to AD

the line that is skewed to DE is BC

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

The given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)

Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;

DEF is parallel to ABC

CADF is parallel to CBEF

For the lines, the lines that are parallel to each other are:

AD is parallel to BE

AB is parallel to DE

FC is parallel to AD

Skew lines are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC

The missing image is attached with the answer below.

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The area of the squares are

A = 17 units², B = 20 units², C = 13 units², and D = 37 units²

Count the number of complete squares that are fully contained within the shape. Start from one corner of the shape and count each square until you reach the opposite corner. Include any partial squares as well.

If there are partial squares, estimate the area they cover. You can do this by visualizing how much of each square is filled by the shape and approximate the area accordingly.

Add up the areas of the complete squares and the estimated areas of the partial squares to find the total area of the shape.

Here we have 4 squares A, B, C, and D

Now count the number of unit squares covered by each square

Number of squares covered by A =  17

Hence, the Area of Square A = 17 units²

Number of squares covered by B = 20

Hence, the Area of square B = 20 units²

Number of squares covered by C = 13

Hence, the Area of square C = 13 units²

Number of squares covered by D = 37

Hence, the Area of square D = 37 units²

Therefore,

The area of the squares are

A = 17 units², B = 20 units², C = 13 units², and D = 37 units²

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