Representación gráfica de 2 1/4

If r = 2 then substitute it for where r is in your given equation

New equation:

\(\dfrac{7(2)}{2}\)

\(\bf{7(2) = 14}\)

\(\dfrac{14}{2} = 7\)

\(\bf{Answer: 7}\) ☑️

Good luck on your assignment and enjoy your day!

\(\frak{LoveYourselfFirst:)}\)

Answer:

$74

Step-by-step explanation:

1/5 of 85 is 17

85-17=68

68+6=74

No. of teeth on the pinion(TP)=17.

Diametral pitch(pd)=8 teeth/in.

Rotational speed of the pinion(NP)=1120 rev/min or 1120 rpm.

Rotational speed of the gear(NG)=544 rev/min or 544 rpm.

To calculate:

No. of teeth on gear(TG) & theoretical centre to centre distance(C).

Solution:

We know that;

Diametral pitch(pd)=No. of teeth in the gear/Diameter of the gear

For pinion,

pd=TP/DP  

Pittiong the values in above eq.

8 teeth/in =17/DP    =>DP=17/8 in.

or DP=2.125 in.

Gear ratio(G)=(NP/NG)=(TG/TP)=(DG/DP)

=>(NP/NG)=(TG/TP)

=>1120/544 =TG/17 =>TG=35

No. of teeth the gear(TG)=35 {Ans}

Also from gear ratio formula,

(NP/NG)=(DG/DP)

=>1120/544=DG/2.125

=>DG=4.375 in.

In the next fig. I have drawn a rough diagram of the pinion and gear arrangement which will help you to understand how to calculate the centre to centre distance(C)

centre to centre distance,C=rP+rG {Where rP and rG are the radii of pinion and gear respectively}

=>C=(DP+DG)/2

Diameter =2*radius}

=>C=(2.125+4.375)/2 in. =3.25 in.

Theoretical centre to centre distance (C)=3.25 in.

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Answer:73

Step-by-step explanation:

Answer:

i think its 3x-8 not sure

The most appropriate interpretation of the y-intercept in this scenario is that for a car weighing 0 lbs, we would expect a fuel efficiency rating of 68.17 mpg.

In a linear regression model, the y-intercept represents the predicted value of the dependent variable (fuel efficiency) when the independent variable (weight) is zero. In this case, the y-intercept is given as 68.17, which indicates the expected fuel efficiency rating for a car with zero weight. However, it is important to note that this interpretation is not physically meaningful because a car cannot have zero weight. Therefore, it is a theoretical extrapolation beyond the range of the data.

The answer option "For a car weighing 0 lbs we would expect a fuel efficiency rating of 68.17 mpg" is the most appropriate interpretation because it aligns with the given y-intercept value. It implies that as the weight of the car increases, the fuel efficiency rating decreases. The interpretation assumes a linear relationship between weight and fuel efficiency within the range of the data. However, it is important to exercise caution when extrapolating beyond the observed data range, as the relationship may not hold for extremely light or heavy cars.

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Answer:

3

Step-by-step explanation:

Divide 1kg or 1000g by 350 and round up to the next integer. That's it.

Answer:

3 packages

Step-by-step explanation:

350+350=700

700+350=1100

1000 grams=1 kilograms

Answer:

15 days

Step-by-step explanation:

Don't you mean 1/3?  If so,

 5 cans

-------------------- = 15 days

1/3 can/daily

Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval

The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.

The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.

The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.

The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.

The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.

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The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

According to the statement

we have to find that the number of ways are there to select the applicants who will be hired.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Here we use the combination.

And from the given information:

20 applicants from a pool of 90 applications will be hired.

And according to this the combination becomes:

\(C_{20} ^{90}\)

then solve it

\(C_{20} ^{90} = \frac{90!}{20! (70!)}\)

\(C_{20} ^{90} = \frac{90*89*88*87*86*85*84*83*82!}{20*19*18*17*16*15*14!}\)

Then after solve it

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82!}{19*14!}\)

Now open another factorial

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82*81*80*79*78*77*76*75*74*73*72*71}{19*14*13*12*11*10*9*8*7*6*5*4*3*2*1}\)

Now solve this then

\(C_{20} ^{90} = {89*11*87*43*83*82*79*15*74*73*71}\).

So, The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

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Answer:

The answer would be 11.111...%

Step-by-step explanation:

100% can be divided by 9, but it leaves 1's after the decimal to be infinite.

Answer:1/9

Step-by-step explanation:

100/100. 1/9 =100/900 =1/9

can you brainlest my answer?

Answer:

To find a percentage, divide the number present by the total number of students, then multiply that number by 100.

Answer:

96% were present.

Step-by-step explanation:

75/100 , 72/? Find percent (?)

(72*100 / )75

96%

Answer: Multiply by 2 on both sides

Answer:

Multiply by 2 on both sides

Step-by-step explanation:

Hope I helped

The expression (x - 4) (x + 4) can be rewritten as the difference of two squares, (2x)² - (4)², or simply 16x².

We have,

In general, the difference of squares formula is:

a² - b² = (a + b) (a - b)

So, to factor the expression (x - 4)(x + 4), we can recognize that it is in the form of a difference of squares, with a = x and b = 4.

Plugging in these values into the formula, we get:

(x - 4) (x + 4) = (x + 4 + x - 4) (x + 4 - x + 4)

Simplifying this expression, we get:

(x - 4) (x + 4) = (2x) (8) = 16x²

Therefore,

The expression (x - 4) (x + 4) can be rewritten as the difference of two squares, (2x)² - (4)², or simply 16x².

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The rectangle with a perimeter of 100 inches that has maximum area has dimensions of 25 inches by 25 inches, resulting in a maximum area of 625 square inches.

This is achieved by dividing the perimeter equally into four sides, creating a square shape. To find the dimensions of the rectangle with maximum area, we consider the perimeter of the rectangle, which is given as 100 inches. Let's assume the length of the rectangle is L inches, and the width is W inches. The perimeter of a rectangle is given by the equation P = 2L + 2W. Since we are given that the perimeter is 100 inches, we have 2L + 2W = 100. Simplifying this equation, we get L + W = 50. To find the dimensions that maximize the area, we need to find the values of L and W that satisfy this equation and result in the largest possible area. One way to maximize the area is by making the rectangle a square, where all sides are equal. In this case, L = W. Substituting this into the equation L + W = 50, we get 2L = 50, which gives L = 25. Therefore, the dimensions of the rectangle with maximum area are 25 inches by 25 inches. The area of this rectangle is calculated by multiplying the length and width, giving us 25 * 25 = 625 square inches. Hence, the maximum area for a rectangle with a perimeter of 100 inches is 625 square inches.

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Answer:

see below

Step-by-step explanation:

area of the garden is 4​(6.5x+2.5​).

combined area of the garden and the walkway is 4.5​(8x+4​).

so area of the walkway = 4.5​(8x+4​) -4​(6.5x+2.5​)

=36x+18 -26x-10

=10x+8

Answer:

5.5

hope this helped!!!!!

Answer:

Blue

Green

White

Transparent

Yellow

Step-by-step explanation:

the best answer from the option is 2(2‒3)=2(2)‒2(3)

&to general knowledge we can also write like this

2(2‒3)=2(2)+2(‒3)

i hope it helps you

Answer:

2(2‒3)=2(2)‒2(3)

Step-by-step explanation:

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

\(\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)\)

\(\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)\)

On comparing both sides, we get

\(\dfrac{4+a}{2}=\dfrac{-1}{2}\)

\(4+a=-1\)

\(a=-1-4\)

\(a=-5\)

And,

\(\dfrac{5+b}{2}=\dfrac{3}{2}\)

\(5+b=3\)

\(b=3-5\)

\(b=-2\)

Therefore, the coordinates of fourth vertex are (-5,-2).

Answer:

B, C, D, F

Step-by-step explanation:

4/8 is equivilant to 1/2 because 4 is half of 8. Therefore, 3 is half of 6 and 8 is half of 16. 7 is half of 14 so 7/11 is not equivilant to 4/8.

Hope I helped.

By using factoring by grouping or synthetic division, we find that \(x = -2\) is a real solution.

Checking for Rational Roots

Using the rational root theorem, the possible rational roots of the polynomial are given by the factors of the constant term (24) divided by the factors of the leading coefficient (-4).

The possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

By substituting these values into \(f(x)\), we find that \(f(-2) = 0\). Hence, \(x + 2\) is a factor of \(f(x)\).

Dividing \(f(x)\) by \(x + 2\) using long division or synthetic division, we get:

Now, we have reduced the problem to factoring \(-4x³ + 18x² - 16x + 12\).

Attempt 2: Factoring by Grouping

Rearranging the terms, we have:

Factoring out common factors, we obtain:

Now, we have \(2x^2(-2x + 9) + 4(4x - 3)\). We can further factor this as:

Therefore, the fully factored form of \(f(x) = -4x⁴  + 26x³  - 50x² + 16x + 24\) is \(f(x) = (x + 2)(2x² + 4)(-2x + 9)\).

Solutions to the polynomial equations:

Using polynomial division or synthetic division, we can find the quadratic equation \((x + 2)(x² + 2x - 3)\). Factoring the quadratic equation, we get \(x² + 2x - 3 = (x +

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Answer:

1: 9

2: 7

3: 5

4: 3

5: 1

Step-by-step explanation:

You have to substitute the x in y=-2x+11 for the numbers under the x column.

For example, for 1, you would do y=-2(1)+11, which would equal y=-2+11, which equals 9. You would do this for all of the x values.

Hope this helps!

Answer:

9

7

5

3

1

Step-by-step explanation: Substitute each number for x to get the answer. Work for this problem:

-2(1)+11= 9

-2(2)+11= 7

-2(3)+11= 5

-2(4)+11= 3

-2(5)+11= 1

Answer:

1.25x + 2x ≤ 20

X + X = 12

Step-by-step explanation:

The area of the triangle is 24 ft² while the area of the square is 64 ft²

An equation is an expression that shows the relationship between two or more numbers and variables.

Area of triangle = (1/2) * base * height = 0.5 * 8 * 6 = 24 ft²

Area of square = 8 ft * 8 ft = 64 ft²

The area of the triangle is 24 ft² while the area of the square is 64 ft²

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Answer:

x = 12 the correct answer

Answer:

The 2nd box lot shows the class data. Also, the illustrated box plot with these marks is also shown in the attached figure.

Step-by-step explanation:

Given the box plot which shows the class data, we can indicate that,

So, the 2nd box lot shows the class data.

Because,

So, the illustrated box plot with these marks is also shown in the attached figure.

Answer:

The 2nd box plot is correct

Step-by-step explanation:

Got it right on IM

Answer:

D

Step-by-step explanation:

I think the answer is D because 5 and 4 equal 9, and equation D is 5+4+x=60. So, the correct equation is D. Hope it helps!

Step-by-step explanation:

I never thought about this before, but yes, they can.

linear functions :

explicit :

y = ax + b

recursive :

xn+1 = xn + a

because

a(x + 1) + b = ax + b + a

ax + a + b = ax + a + b

exponential functions :

explicit :

y = a^x

recursive :

xn+1 = xn × a

because

a^(x + 1) = a^x × a = a^(x + 1)

remember,

a^x = a×a×a×a×a×...×a×a×a

x times a multiplied by itself.