(Need ASP)
Divide.


(4x3+2x+1)÷(x+1)



4x2−4x+6+5x+1


4x2+4x−6−5x+1


4x2−4x+6−5x+1


4x2+4x+6−5x+1

A standard bowling lane is approximately 60 feet long from the foul line to the head pin.

The metric system uses the terms kilometres (km), metres (m), decimeters (dm), centimetres (cm), and millimetres (mm) to describe length or distance.

A standard bowling lane is designed to be 60 feet in length from the foul line to the head pin. This distance is consistent across most bowling alleys and is a key measurement in the sport of bowling.

The 60-foot length is divided into specific sections that contribute to the overall structure of the lane. These sections include the approach area, the foul line, the lane itself, and the pin deck where the pins are set.

The approach area is the section where the bowler stands and prepares to release the ball. It usually spans around 15 feet, providing enough space for the bowler to take a few steps and build momentum before releasing the ball.

The foul line marks the boundary between the approach area and the actual lane. It is important for bowlers to release the ball before crossing the foul line; otherwise, it is considered a foul, and the resulting throw does not count towards the score.

Beyond the foul line is the lane, which is where the ball rolls towards the pins. The lane is typically around 41 to 42 inches wide, made of a specially coated wooden or synthetic surface that allows the ball to roll smoothly.

At the end of the lane is the pin deck, where the pins are arranged in a triangular pattern. The head pin, also known as the 1-pin, is positioned at the front of the triangle. When the ball reaches this area, it interacts with the pins, causing them to scatter or fall, resulting in a score.

Overall, the 60-foot length of a standard bowling lane provides enough distance for bowlers to exhibit skill and strategy in their throws while ensuring a fair and consistent playing field.

Learn more about length on:

https://brainly.com/question/28108430

#SPJ4

Answer:

Step-by-step explanation:

quit

Answer:

Angle of elevation of the sun: 69 degrees

Step-by-step explanation:

tan(x) = 200/75

x = tan^-1 (200/75)

x = 69 degrees

Answer:

I say the answer is D

Step-by-step explanation:

I

think

it

is

D

Answer:

Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4

plz give me brainly if its right

Step-by-step explanation:

Answer:

y=-2

Step-by-step explanation:

-16=8y

Divide both sides by 8...

y=-2

Answer:

392 square units

Step-by-step explanation:

We can make 2 right trapezoids out of this shape.

The area of a trapezoid would be 1/2×(b1+b2)×h or (b1+b2)×h ÷ 2.

If we do 1 half it would be 1/2×(14+14)×14 = 196

Now if we multiply by 2 (because we have 2 trapezoids) it would be 392.

Step-by-step explanation:

Red=4

Blue=3

Yellow=3

Total=10

Pr(BY) without replacement= 3/10 *3/9

=6/90

=1/15

Answer:

17

Step-by-step explanation:

Whenever you are multiplying 2 negative numbers together, the answer is always positive. In this case, you are multiplying -1 and -17 together, so your answer is going to be 17.

Answer:

1 & 2 = Right Triangles

3 & 4 = Not Right Triangles

Step-by-step explanation:

Solved Using Pythagorean Theorem:

1) \(9^{2} + 12^{2}\) = 225

\(15^{2}\) = 225

2) \(15^{2} + 36^{2}\) = 1521

\(39^{2}\) = 1521

3) \(10^{2} + 26^{2}\) = 776

\(28^{2}\) = 784

4) \(10^{2} + 12^{2}\) = 244

\(16^{2}\) = 256

We know that 3 cars yielded $13.50

$13.50 / 3 = $4.50 / 1 car

$4.50 * 12 cars = $54.00

$4.50 * 15 cars = $67.50

$4.50 * 20 = $90.00

Presumably you're talking about a geometrical interpretation of the identity,

(a + b + c)² = a ² + b ² + c ² + 2 (ab + ac + bc)

See the attached sketch for a visual "proof" of it.

The surface area painted blue will be 1,488 square cm.

The correct option is: (D)

Surface area is the amount of space covering the outside of a three-dimensional shape.

We have, The plan is to paint 40% of the total surface area.

The surface area is :

Surface Area = (17 + 17 + 18 + 30 + 18) x 24 + 8 x 30 + 2 x 30 x 18

Surface Area  = 100 x 24 + 8 x 30 + 60 x 18

Surface Area = 2400 + 240 + 1080

Surface Area = 3720 square cm

Blue paint will be applied to 40% of the overall surface area of the doorstop, including the bottom face then

= 0.40 x 3720

= 1488 square cm

Therefore, the surface area painted blue will be 1,488 square cm.

Learn more about Surface area at:

https://brainly.com/question/29298005

#SPJ1

Influential scores, indicated by large residuals, have a significant impact on the regression line when removed from the data. These points, characterized by extreme x or y-values, can alter the slope and intercept of the regression line, emphasizing their importance in regression analysis.

The correct statements about influential scores are i and ii.

i. Influential scores have large residuals because they have a strong effect on the regression line. This means that if we remove an influential score from the data, it will significantly change the slope and intercept of the regression line.

ii. Removal of an influential score sharply affects the regression line because influential scores have a large impact on the regression line. If we remove an influential score, it will significantly change the slope and intercept of the regression line.

iii. This statement is not true. An x-value that is an outlier in the x-variable may be indicative of a point being influential, but a y-value that is an outlier in the y-variable can also be indicative of a point being influential.

Learn more about regression line here:

brainly.com/question/7656407

#SPJ11

25% off means the new price of the item is 75% of the originl price ( 100% - 25% = 75%)

Multiply the original price by 75%:

20 x 0.75 = 15

The sale price is £15

S.P:25x/100

0.25x=20

x=20/0.25

x=80

Answer:

1/4.

Step-by-step explanation:

There are 12 possible outcomes.

There are are 3 outcomes represented by 4B.

So required probability = 3/12 = 1/4.

\(a) \: \: 1000 \times \frac{1}{100} = 10 \\ \)

\(b) \: \: 44 \times \frac{25}{100} = 11 \\ \)

\(c) \: \: 50 \times \frac{30}{100} = 15 \\ \)

The risk of owning a home in Randolph County based on the given sample can be calculated as:

Risk of owning a home = Number of residents who own a home / Total number of residents in the sample

Risk of owning a home = 59 / 90

Therefore, the risk of owning a home in Randolph County based on the given sample is approximately 0.656 or 65.6%.

The angle of elevation of the ladder is approximately 76.7 degrees.

Length of the ladder (opposite side) = 17 ft Horizontal distance from the base of the ladder to the base of the building (adjacent side) = 4 ft

Using the tangent function

tan(angle) = opposite / adjacent

Substituting the given values

tan(angle) = 17 ft / 4 ft

we can take the inverse tangent (arctan) of both sides

angle = arctan(17/4)

Using a calculator, we can find the approximate value of the angle

angle ≈ 76.7 degrees

Therefore, the angle of elevation of the ladder is approximately 76.7 degrees.

To know more about  angle of elevation  click here :

https://brainly.com/question/16716174

#SPJ4

Step 1: Write out the expression to simplify

Step 2: Remove the bracket using distribution property

Step 3: Rewrite the resulting expression in order of degree and state the degree and the number of terms

The degree is 3 (third degree) as the highest power of the variable is 3, there are three terms in the expression

Hence, the expression is a cubic expression (degree 3) and a trinomial (3 terms)

Therefore, the correct option is "Cannot be determined with the given information." when the least squares regression line for a data set is y=2.3−0.1x and the standard deviation of the residuals is 0.13.

To determine if a case with the values x = 4.1, y = 2.34 qualifies as an outlier, we need to compare the observed value of y (2.34) with the predicted value of y based on the regression line (Y).

For this case, the predicted value of y (Y) can be calculated using the equation of the least squares regression line:

Y = 2.3 - 0.1x

Y = 2.3 - 0.1 * 4.1

Y = 2.3 - 0.41

Y = 1.89

Now, we can compare the observed value of y (2.34) with the predicted value of y (1.89). If the observed value significantly deviates from the predicted value, it can be considered an outlier.

In this case, the observed value (2.34) is greater than the predicted value (1.89), suggesting that it is above the regression line. However, without knowing the specific criteria or threshold for defining an outlier, it cannot be conclusively determined if this case qualifies as an outlier based solely on the information given.

To know more about least squares regression line,

https://brainly.com/question/29463195

#SPJ11

The width of each column is 2 inches.

Width is the measurement of something from side to side.

Let x = width of each column.

If a "gutter" is one eighth as wide as each column, then the width of the gutter can be expressed as

gutter = (1/8)x

If the document is 8.5 in. wide, then the sum of the widths of the left and right margins, the 3 columns and the 2 gutters in between columns is equal to 8.5 in.

left margin + right margin + 3 columns + 2 gutters = 8.5in

1 in + 1 in + 3x + 2(1/8)x = 8.5 in

3x + 2(1/8)x = 8.5 in - 1 in - 1 in

3 1/4 x = 6.5 in

x = 2 in

width of each column = 2 inches

Learn more about width here: https://brainly.com/question/11434049

#SPJ4

Answer: E

Step-by-step explanation:

The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.

We can determine the probability of the compound event by multiplying the probabilities of individual events and dividing by the total number of possible outcomes of the combined events.

Given: You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event.Find: Probability of the compound event.

The probability of the compound event can be calculated as follows;Let's say the spinner has m equal sections and the coin has 2 equal sides.Let A be the event of spinner landing on the desired section.Let B be the event of the coin landing on the desired side.

Let C be the event of the spinner landing on the desired section on the second spin.The probability of spinner landing on the desired section A = P(A) = number of desired outcomes/total number of outcomes.

The probability of the coin landing on the desired side B = P(B) = number of desired outcomes/total number of outcomes.The probability of the spinner landing on the desired section on the second spin C = P(C) = number of desired outcomes/total number of outcomes.  

Now, to find the probability of the compound event, we use the formula:P(A and B and C) = P(A) * P(B) * P(C)That is, the probability of all three events A and B and C occurring together is equal to the product of their individual probabilities.

Substituting the given values in the above formula, we have:P(A and B and C) = P(A) * P(B) * P(C) = (number of desired outcomes on spinner 1/m) * (number of desired outcomes on coin /2) * (number of desired outcomes on spinner 2/m)

Therefore, the probability of the compound event can be calculated as:P(A and B and C) = (number of desired outcomes on spinner 1 × number of desired outcomes on coin × number of desired outcomes on spinner 2) / (2 × m × m)

To learn more about : probability

https://brainly.com/question/251701

#SPJ8

Answer:

1. r = -4

3. n=6

5. m = -5

7. x=0.66= \(\frac{2}{3}\)

Step-by-step explanation:

1.

-52=4(7+5r)

-52=28+20r

Subtract 20r from both sides

-20r-52=28

Add 52 to both sides

-20r=80

Divide both sides by -20

r = -4

3.

8(n-5)=-5n+38

8n-40=-5n+38

Add 5n to both sides

13n-40=38

Add 40 to both sides

13n=78

Divide both sides by 13

n=6

5.

-33+5m=2(1+6m)

-33+5m=2+12m

Subtract 12m from both sides

-33-7m=2

Add 33 to both sides

-7m=35

Divide both sides by -7

m=-5

7.

2(7x-2)=2(x+4)

14x-4=2x+4

Subtract 2x from both sides

12x-4=4

Add 4 to both sides

12x=8

Divide both sides by 12

x=0.66...

The value of f(x)= (x-3).g(x)+8

A division algorithm is an algorithm which, given two integers N and D, computes their quotient and/or remainder, the result of Euclidean division.

dividend= divisor x quotient+ remainder

given that, f(x) has remainder 8 and divided by x-3

as per division algorithm we can say that

dividend= divisor x quotient+ remainder

f(x)= (x-3).g(x)+ 8

if we need to find f(3) then put 3 in the place of x

that gives you f(3) = (3-3).g(x)+ 8

                        f(3)= 8

to learn more about division visit:

brainly.com/question/21416852

#SPJ1

The answer to f(x)= (x-3). g(x)+8

An algorithm for dividing two integers, N and D, into their quotient and/or remainder, or the product of Euclidean division, is known as a division algorithm.

Dividend equals Divisor x Quotient plus Remainder.

Given that, f(x) is divided by x-3 and has a remainder of 8.

The division algorithm allows us to state that

Dividend equals Divisor x Quotient plus Remainder.

f(x)= (x-3) (x-3).

g(x)+ 8

If we need to find f(3), we should substitute 3 for x.

giving you f(3) = (3-3).

g(x)+ 8

f(3)= 8

To learn more about visit :
brainly.com/question/14506243

Answer:

C

Step-by-step explanation:

Answer:

101 divide by 102 multiply by 564

The error made earlier was not applying the difference of squares to the denominator. The correct simplification of the expression is (11 + 6√2) / 7.

The error made while simplifying the expression (3 + √2) / (3 - √2) is not taking into account the difference of squares when dealing with the denominator. The correct way to simplify this expression is as follows:

Step 1: Multiply the numerator and denominator by the conjugate of the denominator to rationalize it.

The conjugate of (3 - √2) is (3 + √2).

Step 2: Apply the difference of squares formula: \((a + b)(a - b) = a^2 - b^2\).

Now let's correct the simplification:

(3 + √2) / (3 - √2)

Step 1: Multiply the numerator and denominator by the conjugate of the denominator.

[(3 + √2) * (3 + √2)] / [(3 - √2) * (3 + √2)]

Step 2: Apply the difference of squares to the denominator.

\([(3 + \sqrt 2) * (3 + \sqrt 2)] / [3^2 - (\sqrt 2)^2]\)

Simplify:

(3 + √2) * (3 + √2) / (9 - 2)

Now, expand the numerator:

(9 + 3√2 + 3√2 + 2) / 7

Combine like terms in the numerator:

(11 + 6√2) / 7

This is the simplified expression.

To know more about expression, refer here:

https://brainly.com/question/31716127

#SPJ4

Answer:

1 = 3

2= 21/5

3=5/6

4=3/8

Step-by-step explanation:

1 explanation

3/4 (8/2) =

(3/4) (8/2)=

(3)(4)/(4)(1)

12/4 =3

2 explanation

7/1(3/5) =

(7/1 ) (3/5)  divide tht u get 21/5

3 explanation 5/6(1) =5/6

4 explanation

u rewrite the equation then

(3/4) (1/2

3x 1 is 3 4x 2 is 8 so 3/8