How can you write the explicit rule for a geometric sequence if your know the recursive rule for the sequence?

Answer:  option C - Sandy's experimental probability was closest to the theoretical probability in the experiment with 1,000 flips, is the most likely scenario.

Step-by-step explanation:

Based on the Law of Huge Numbers, the more times a coin is flipped, the closer the test likelihood will be to the hypothetical likelihood of 0.5 for heads and 0.5 for tails. In this manner, Sandy's exploratory likelihood is most likely to be closest to the hypothetical likelihood within the test with 1,000 flips.

In spite of the fact that it is conceivable that Sandy's exploratory likelihood might be near to the hypothetical likelihood within the explore with 100 flips or 500 flips, it is more likely that the bigger test measure of 1,000 flips will result in a more precise representation of the hypothetical likelihood.

The volume of the figure is approximately 50101mm^3 and the surface area is approximately 8253mm^2.

The figure consists of a sphere and a cylinder. We can find the volume and surface area of the figure by calculating the volume and surface area of each component separately and adding them together.

The height of the cylinder is given as 76mm, which means the remaining height of the figure must be occupied by the sphere. Thus, the radius of the sphere can be calculated as half the difference between the total height of the figure and the height of the cylinder:

Radius of sphere = (102mm - 76mm)/2 = 13mm

Now we can calculate the volume and surface area of each component:

Volume of cylinder = πr^2h = π(13mm)^2(76mm) ≈ 40899mm^3

Surface area of cylinder = 2πrh + 2πr^2 = 2π(13mm)(76mm) + 2π(13mm)^2 ≈ 6128mm^2

Volume of sphere = (4/3)πr^3 = (4/3)π(13mm)^3 ≈ 9202mm^3

Surface area of sphere = 4πr^2 = 4π(13mm)^2 ≈ 2125mm^2

Finally, we can find the total volume and surface area of the figure by adding the values for the cylinder and sphere:

Total volume = Volume of cylinder + Volume of sphere ≈ 50101mm^3

Total surface area = Surface area of cylinder + Surface area of sphere ≈ 8253mm^2

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The y-intercept of the tangent line is b. -1

The y-intercept of a line is the value of y at which the line crosses the y axis

To determine the value of y-intercept of a line with the given slope -3 that is a tangent line to the curve y = -x² - 5x -5.

We proceed as follows

First we differentiate the equation of the curve.

So,  y = -x² - 5x -5.

dy/dx = d(-x² - 5x -5)/dx

=  d-x²/dx - d5x/dx - d5/dx

= -2x - 5 - 0

= -2x - 5

Since the derivative of the curve equals the value of the tangent at the point, we have that

dy/dx = -3

-3 = -2x - 5

-3 + 5 = -2x

2 = -2x

x = 2/-2

x = -1

So, substituting x = -1 into the equation for y to find the y intercept, we have that

y = -x² - 5x -5.

y = -(-1)² - 5(-1) -5

= -1 + 5 - 5

= -1 + 0

= -1

So, the y-intercept is b. -1

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The height of the cylindrical water tank is 4.6 feet. Therefore, the answer is A.

The cylindrical water tank holds 1,100 liquid gallons and has a radius of 3.2 feet.

Therefore, the height of the tank can be calculated as follows:

7.48 liquid gallons = 1 ft³

1100 liquid gallons = ?

cross multiply

volume of the tank = 1100 / 7.48 = 147.058823529 ft³

Therefore, let's find the volume of the cylindrical tank.

volume of the cylindrical tank = πr²h

where

Therefore,

r = 3.2 feet

h = ?

The volume of the cylindrical tank in feet cube is 147.058823529 ft³

Let's find the height, h

volume of the cylindrical tank = 3.14 × 3.2² × h

147.058823529 = 3.14 × 10.24 × h

32.1536h = 147.058823529

divide both sides by 32.1536

h = 147.058823529 / 32.1536

h = 4.57363405653

Therefore,

height of the water tank = 4.6 feet

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Answer: 81mi^2

Step-by-step explanation:

Area Formula for Square: side * side

9*9 = 81

Answer: 3+(-8+1) or 3+-8+1

Step-by-step explanation: Rita rewrote the equation so instead of it being negative 8 it is negative 1.

Answer:

x = 52.5

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360.

2x+100 +95+60 = 360

Combine like terms.

2x+255=360

Subtract 255 from each side

2x+255-255= 360-255

2x = 105

Divide each side by 2

2x/2 = 105/2

x = 52.5

Answer:

x = 52.5

Step-by-step explanation:

The sum of the interior angles of a quadrilateral is 360°.

Accordingly, let us find the value of x.

2x + 100 + 95 + 60 = 360

2x + 255 = 360

Subtract 255 from both sides.

2x = 360 - 255

2x = 105

Divide both sides by 2.

x = 52.5

The statement " Time plots are special scatterplots where the explanatory variable, x, is a measure of time" is true because time plots are scatterplots where the x-axis represents time, and they are commonly used to visualize trends and patterns in time series data.

A time plot is a type of scatterplot where the x-axis represents time and the y-axis represents a response variable. Time plots are useful for displaying data that change over time and can reveal trends, patterns, and seasonality in the data. They are commonly used in fields such as economics, finance, and social sciences to analyze time series data.

By visualizing data over time, time plots can help to identify relationships, outliers, and potential forecasting models. Overall, time plots are a powerful tool for analyzing and understanding trends and patterns in time series data.

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The given question is incomplete, the complete question is:

Time plots are special scatterplots where the explanatory variable, x, is a measure of time. True or false

Answer:

To calculate the volume of soil needed, we first convert the dimensions of the backyard to feet:

Length = 70 ft

Width = 60 ft

Depth = 4 in = 4/12 ft = 1/3 ft

Volume = Length x Width x Depth

Volume = 70 ft x 60 ft x (1/3) ft

Volume = 1400 ft³

Option 1: Bags of topsoil

Each bag of topsoil contains 3 ft³ of soil, so the number of bags needed is:

Number of bags = Volume / Bag size

Number of bags = 1400 ft³ / 3 ft³ per bag

Number of bags = 467 bags

The total cost of bags of topsoil is:

Cost = Number of bags x Cost per bag

Cost = 467 bags x $2.50 per bag

Cost = $1167.50

Option 2: Bulk topsoil

The volume of topsoil needed is 1400 ft³, which is equivalent to:

Volume = 1400 ft³ / 27 ft³ per yd³

Volume = 51.85 yd³ (rounded to two decimal places)

The cost of bulk topsoil is:

Cost = Volume x Cost per yd³ + Delivery fee

Cost = 51.85 yd³ x $22.00 per yd³ + $20.00 delivery fee

Cost = $1153.70

Therefore, buying bulk topsoil is less expensive than buying bags of topsoil. The cost of bulk topsoil is $1153.70, while the cost of bags of topsoil is $1167.50

Answer:

Bulk is less expensive

Step-by-step explanation:

First convert inches to feet:  4 in x 1 ft/12 in =0.333 ft

Volume of topsoil needed = 70 x 60 x 0.333 = 1400 ft³

Bagged topsoil:   1400 ft³ x $2.50/3 ft³ = $1166.67

Bulk: 1400 ft³ x 1 yd³/27 ft³ x $22.00/yd³ + $20 = $1160.74

Bulk is just a little cheaper

The solution to the system of equations is:

x = -1/42

y = -11/6

In mathematics, a variable is a symbol that represents a value that can vary or change. It is often represented by a letter, such as x, y, or z. Variables are used to write algebraic expressions and equations that can be solved to find unknown quantities. The value of a variable can be determined by solving an equation that involves the variable, or by assigning a specific value to the variable. In algebra,

To solve this system of equations by the method of elimination, we need to eliminate one of the variables by adding the two equations together. We can do this by multiplying the first equation by 3, which will make the y terms cancel out when we add the equations:

7x - y = 2 (multiply by 3)

-21x - 3y = 5

21x - 3y = 6 (first equation multiplied by 3)

-21x - 3y = 5

Now we can add the two equations together:

(21x - 3y) + (-21x - 3y) = 6 + 5

0x - 6y = 11

Simplifying, we get:

-6y = 11

Dividing both sides by -6, we get:

y = -11/6

Now that we have solved for y, we can substitute this value back into either equation to solve for x. Let's use the first equation:

7x - y = 2

7x - (-11/6) = 2

Multiplying both sides by 6 to eliminate the fraction, we get:

42x + 11 = 12

Subtracting 11 from both sides, we get:

42x = -1

Dividing both sides by 42, we get:

x = -1/42

Therefore, the solution to the system of equations is:

x = -1/42

y = -11/6

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Answer: angle(s) A on the left.

Step-by-step explanation:

Complementary angles are angles whose sum equals 90, which is a righ angle (forms a corner)

The ice cream factory could make 720 quarts of ice cream in 36 hours.

We can use a proportion to solve this problem:

quarts / hours = constant rate of production

Let x be the number of quarts that could be made in 36 hours. Then we have:

200 quarts / 10 hours = x quarts / 36 hours

Cross-multiplying, we get:

10x = 200 * 36

Simplifying, we get:

10x = 7200

Dividing both sides by 10, we get:

x = 720

Therefore, the ice cream factory could make 720 quarts of ice cream in 36 hours.

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The first term represents area of the two triangular faces having base of pyramid, second term represents area of two triangular faces having length of the rectangle, third term represents area of rectangular base.

A rectangular pyramid is a solid figure with a rectangular base and four triangular faces that meet at a single point, known as the apex. To find the surface area of a rectangular pyramid, we need to calculate the area of each face and add them together.

The formula for the surface area of a rectangular pyramid is:

Surface area = 2(1/2 x base x height) + 2(1/2 x length x height) + (length x base)

The first term, 2(1/2 x base x height), represents the area of the two triangular faces that share the base of the pyramid. The second term, 2(1/2 x length x height), represents the area of the two triangular faces that share the length of the rectangle. The third term, (length x base), represents the area of the rectangular base.

By multiplying each term by its appropriate values and adding them together, we can find the total surface area of the rectangular pyramid.

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Complete question is:

Surface area = 2(1/2 x base x height) + 2(1/2 x length x height) + (length x base). Explain what each term represents?

The probability that Jevonte will hit his next free throw is "likely" or "high".

Since Jevonte has made 7 out of 8 of his free throws so far, he has a success rate of 87.5%, which is quite high. Therefore, it is reasonable to expect that he will continue to make his free throws at a similar rate, making it likely that he will hit his next free throw.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain. A probability of 0.5 (or 50%) means the event is just as likely to occur as it is not to occur. Probability is used extensively in fields such as mathematics, statistics, physics, engineering, economics, and many other areas to model and analyze uncertain events or situations.

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Answer:-91 is an integer

1/2 is not an integer

51 is an integer

-6/2 is not an integer

-99.34 is an integer

Step-by-step explanation: An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

Answer:

-91 - yes

1/2 - no

51 - yes

-6/2 - yes

-99.34 - no

Answer:

[tex]6(4x - 3) > 30 \\ divide \: both \: sides \: of \: the \: \\ inequality \: by \: 6 \\ = 4x - 3 > 5 \\ = 4x > 5 + 3 \\ = 4x > 8 \\ = x > \frac{8}{4} \\ = x > 2[/tex]

hope it helps

The first option, "one half," corresponds to the scale factor of 0.5.

Scale factor = Dimensions of the new shape Dimensions of the original shape is the fundamental formula used to calculate it. The formula is expressed as Scale factor = Larger image dimensions Smaller figure dimensions in the event that the original figure is enlarged.

We can contrast the side lengths of triangles D and D′ to determine the scaling factor.

Let's contrast the side lengths for the two triangles.

Triangle D has sides that are 4.2 in length, and triangle D′ has sides that are 2.1 in length.

Scale factor = (Side length of triangle D′) / (Side length of triangle D)

Scale factor = 2.1 / 4.2

Scale factor = 0.5

The first option, "one half," corresponds to the scale factor of 0.5.

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The equation of the largest circle is given as follows:

x² + y² = 9².

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle that pass through the center. Hence, the diameter’s length is twice the radius length.

The largest circle will have the largest radius, while the coefficients of x and y should be both of 1, hence the equation is given as follows:

x² + y² = 9².

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Answer:

its taking the immage on the right and moving it ounter clockwise 90°

The answer of the given question based on the rectangle is , The MNOP congruence is shown by  Side-Angle-Side (SAS) and the steps are given below.

In geometry, a diagonal is a straight line that connects two non-adjacent vertices of a polygon or a polyhedron. In other words, a diagonal is a line segment that joins two corners or vertices of a shape that are not next to each other. For example, in a rectangle, the diagonals are the line segments that connect opposite corners of the rectangle.

To show that the diagonals of a rectangle bisect each other and are congruent, we can use the following steps:

Therefore, we have shown that the diagonals of a rectangle bisect each other and are congruent.

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(C.) reflection and (D.) rotation produce congruent images.

What three transformations are congruent?

We can generate congruent shapes by combining the three types of transformations: rotations, reflections, and translations. Actually, using a combination of one or more of these three transformations, any pairs of congruent shapes can be matched to one another.

(A) Dilation, (B) horizontal stretch, and (E) translation do not produce congruent images because they change the size, shape, and/or orientation of the original object.

(C) Reflection produces congruent images because the resulting image is a mirror image of the original object, and therefore has the same size and shape.

(D) Rotation produces congruent images because the resulting image is the same shape and size as the original object, just rotated to a different orientation.

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Each leg of the triangle has a length of 5√(2) units

Since the triangle is 45-45-90, each of the two legs has the same length, which we'll call x. By the Pythagorean theorem, we know that:

x² + x² = h²

Simplifying this equation, we get:

2x² = h²

To solve for x, we can divide both sides by 2 and then take the square root:

x = h / √(2)

This tells us that each leg of a 45-45-90 triangle is equal to the hypotenuse divided by the square root of 2.

Let's say you have a 45-45-90 triangle with a hypotenuse of length 10. To find the length of each leg, you would use the formula:

x = h / √(2)

Substituting h = 10, we get:

x = 10 / √(2)

To simplify this expression, we can rationalize the denominator by multiplying both the numerator and denominator by √(2):

x = (10 / √(2)) * (√(2) / √(2))

= 10√(2) / 2

= 5√(2)

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The y-component of the force that the wall exerts on the beam (f) is -400.5 N.

The y-component of the force that the wall exerts on the beam (f) can be found using the following steps:

Step 1: Calculate the magnitude of the force (f):

f = √[f_x² + f_y²]

f = √[(-500 N)² + (-300 N)²]

f = 600 N

Step 2: Calculate the angle of the force relative to the y-axis:

θ = tan-1(-300 N/500 N)

θ = -53.13°

Step 3: Calculate the y-component of the force (fy):

fy = f × sin(θ)

fy = 600 N × sin(-53.13°)

fy = -400.5 N

Therefore, the y-component of the force that the wall exerts on the beam (f) is -400.5 N.

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According to the function, the rate of change with respect to the number of minutes purchased is $1.05 per minute.

The function given in the problem is y = 5.45 + 1.05(x + 7), where y represents the cost in dollars for a prepaid cell phone plan of x minutes. This means that if you want to know how much it will cost to purchase a certain number of minutes, you can simply plug in that number for x and the equation will give you the corresponding cost in dollars.

Now, the rate of change with respect to the number of minutes purchased is also known as the slope of the function. This tells us how much the cost will change for each additional minute purchased. To find the slope, we need to take the derivative of the function with respect to x.

The derivative of y with respect to x is given by:

dy/dx = 1.05

This means that for each additional minute purchased, the cost will increase by $1.05.

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Answer: x=4

Step-by-step explanation:

Isolate x using opposite operations.

2x + 3 = 11

2x = 8

x = 4

Answer:

4

Step-by-step explanation:

subract 3 from 11

2x=8

divide by 2

x=4

Answer: 2

Step-by-step explanation:  0 1 1 2 2 3 3  order

011 2 middle one  233

Hi !

[tex]2x + 3 > 11\\\iff 2x > 8\\\iff x > \frac{8}{2}\\ \iff x > 4[/tex]

Have a nice day ;)

Answer:

x > 4

Isolate the variable by dividing each side by the factors that don't contain the variable

Answer:

Prove the following identitics: tan 0 + cot 0 = I/(sin 0 cos 0) 0 + tan 0 sec 0 = cosec 0 'sec? 0. 18 cosec = cosec? 0 = tan? 0 cot2 19 sec? 0 sin ' 0 =cos? 0 'sin? 20 cos4 (sec 0 + tan 0) (sec 0 _ tan 0) = 1 2 sin? 0 = cOs? 0 _ 'sin? 0. 22 2 cos? 0_I=1 23 sec? 0 + cosec 0 = sec? 0 cosec? sin? , COs? 24 sec" 0 cosec" 0 = cos 0 sin" 0 25 =I tan 0 + 1 cot? 0 +4 26 (sec? 0 1) (cosec? 0 1) = [ 27 ((sec? 0 _0)+ V(cosec" 0 _ !) = sec € cosec 0 28 (sec? tan? 0) + V(cosec? 0 ~ cot? 0) = 2 cos? 0 29 =1 sin sec? 0 _ 1 sec 0 cosec 0 tan 0 + cot 0 30 tan 0 cot 0 sec 0 + cosec 0 cos 0 sin 0 31 =l V( + tan? 0) V( + cot? 0) Eliminate 0 from the following equations: 32 x = 4 cos 0, y = b sin 0. 33 x = 4 cot 0,y = b cosec 0. 34 x=a tan 0,y =b cos 0. 35 x = ] sin 0, y = [ + cos 0, 36 x =a sec 0,y = b +c cos 0. 37 x=a cosec 0, y = b sec 0. 38 X=l+ tan 0,y = cos 0. 39 x=sin 0 + cos 0,y = sin 0 40 cos X = sCc 0 + tan 0, y = sCc 0 ~ tan 0.