Sage has a rectangular garage that is 22 square feet. The width is half of the length what is the width

Based on this excerpt, the results that Ford helped achieve by implementing the described process was the development of an assembly line, capable of increasing productivity and production efficiency.

He was the founder of the Ford Company and the theory of Fordism, which consists of mass production, reducing costs, increasing efficiency through specialization of work.

Therefore, as we see in the excerpt, mass production generated the greatest speed and precision in each step of the work, increasing productivity and reducing losses and costs associated with production.

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Step-by-step explanation:

2x²+11=131

2x²=131-11

2x²=102

x²=102

2

x²=51

x=√51

Answer: The answer is 50 m³.

Step-by-step explanation: We are given to find the volume of the cone cone after being dilated by a factor of one-third from a cone with volume  1350 m³.

The volume of a cone with base radius 'r' units and height 'h' units is given by

\(V=\frac{1}{3}\pi r^2h.\)

Therefore, if 'r' is the radius of the base of original cone and 'h' is the height, then we can write

\(V=\frac{1}{3}\pi r^2h=1350\)

⇒ \(\pi r^2h=4050.\)

Now, if we dilate the cone by a scale factor of , then the radius and height will become one-third of the original one.

Therefore, the volume of the dilated cone will be

\(V_d=\frac{1}{3}\pi (\frac{r}{3})^2\frac{h}{3} =\frac{1}{81}\) × \(\pi r^2h=\frac{1}{81}\) × \(4050=50\)

Thus, the volume of the resulting cone will be 50 m³.

Answer:

39

Step-by-step explanation:

just had it.

Answer:

show the choices please.

Step-by-step explanation:

Answer:

Asymptote: y = 4

Domain: All positive real numbers x > 0

Range: 0 \(\leq \\\) y \(\leq \\\) 4

Zero: Root at zero

x-intercept: at zero

y-intercepts: none

f(1)= 2

f(9)= 3

Step-by-step explanation:

The Nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

To determine the time the flag is in the air before Zack catches it, we can use the kinematic equation for vertical motion:

h = 16t^2 + vt + s

Where:

h is the height of the flag,

t is the time in seconds,

v is the initial vertical velocity of the flag,

s is the initial height of the flag.

In this case, the flag is thrown into the air from a height of 5 feet (s = 5) with an initial vertical velocity of 30 feet per second (v = 30). Zack catches it at a height of 7 feet (h = 7).

We can rewrite the equation as:

7 = 16t^2 + 30t + 5

To find the time (t) when the flag is at a height of 7 feet, we can rearrange the equation and solve for t. However, since this is a quadratic equation, we can also use the quadratic formula.

The quadratic equation in this case is:

16t^2 + 30t + 5 - 7 = 0

16t^2 + 30t - 2 = 0

Now, we can use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Applying the values from the quadratic equation, we have:

t = (-30 ± √(30^2 - 4 * 16 * (-2))) / (2 * 16)

Simplifying further:

t = (-30 ± √(900 + 128)) / 32

t = (-30 ± √1028) / 32

Using a calculator, we find two solutions:

t ≈ -1.08 seconds or t ≈ 0.06 seconds

Since time cannot be negative in this context, we discard the negative solution.

Therefore, to the nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

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Rewriting all numbers in base 5

1000 = 13000

1001 = 13001

1002 = 13002

2000 = 31000

The base 5 number whose digits have least sum are 13000 and 31000

The decimal notation of the numbers are 1000 and 2000

Define unit number.

The rightmost point in a number or the number one are both acceptable definitions of the word "unit" in mathematics. A unit can also be an item or a person that is seen as distinct and whole but is actually a component of a whole or group. An identification number for a unit in a declaration is referred to as a unit number.

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Answer:

24:32

Step-by-step explanation:

When I saw that you wrote 'the ratios of BUTTERFLIES TO BEES' it tells me that I need to do the order of But. to Bees.  I saw you had 3:4, and you said, '32 bees' I know because of that, 32 bees needs to be the second.

I got my answer, by seeing 4x_=32.  I actually multiplied 4x8=32, and then multiplied 3x8 as well, to get 24.  Then I got my answer: 24:32!

HOPE I HELPED:)

-Adiel, Age 11, 6th Grade

Hello!

y = 88° (opposite are equal)

z = 180° - 128° = 52° (straight angle = 180°)

x = 180° - 140° = 40° (straight angle = 180°)

Answer:

x=40°

y=88°

z=52°

Step-by-step explanation:

Solution Given:

x+140°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for x.

x=180°-140°

x=40°

\(\hrulefill\)

y°=88°

Since the vertically opposite angle is equal.

therefore, y=88°

\(\hrulefill\)

z+128°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for z.

z=180°-128°

z=52°

In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.

Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.

We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:

3 ml x 3 ml x 3 ml

-------- = ----------

728 ml total, 8 ml overall

If we cross-multiply, we obtain:

8(x) = 3(728)

To find x, we use the formula x = 3(728)/8 = 273

In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

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273 milliliters of compound A are needed to make 728 milliliters of the drug.

What are proportions?

In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:

a/b = c/d

To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.

Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:

3 : (3+5) or 3:8

This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.

To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:

3/8 = x/728

where x represents the amount of compound A needed.

To solve for x, we can cross-multiply:

8x = 3*728

8x = 2184

x = 273

Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.

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Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

Answer: 7!

Step-by-step explanation:

firstly, 15+48=63, then 5+4=9, and 63 divided by 9 id 7!

5/9 and 11/21

LCM of the denominators is 63

changing their denominators to all have a common denominator of 63:

5(7)/63 = 35/63

11(3)/63 = 33/63

from the above;

5/9 > 11/21.

Answer

for number 6 it should be 459

Step-by-step explanation:

Remember you always multiply the numbers for a easy way or method u can use LxWxH=V. Lengh x Width x Height=Volume

Im so sorry if its wrong

Answer:

The measure of angle QBO is 12 degrees.

Step-by-step explanation:

I have taken the test. Mark me brainliest pls!!!

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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The difference of the equation is A = ( x² - 3x - 12 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first equation be P = x / ( x² - 2x - 15 )

Let the second equation be Q = 4 / x² + 2x - 35 )

Now , A = P - Q

On simplifying , we get

A = x / ( x² - 2x - 15 ) - 4 / x² + 2x - 35 )

Taking the LCM , we get

A = x ( x + 7 ) - 4 ( x + 3 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )

A = x² + 7x - 4x + 12 / ( x + 3 ) ( x - 5 ) ( x + 7 )

A = ( x² - 3x - 12 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )

Therefore , the value of A is ( x² - 3x - 12 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )

Hence , the equation is A = ( x² - 3x - 12 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )

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Answer: No

Step-by-step explanation:

to be proportional, both numbers have to increase by the same number

because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in

Answer:

the answer is 6 trust. poopoo

Answer:

she now has 36 inches of ribbon

Step-by-step explanation:

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Answer:

36 inches of ribbon

Step-by-step explanation:

5x4=20 20+16=36

She deposited $16,000 at 4% and $32,000 at 4.5%

She deposited $16,000 at 4% and $32,000 at 4.5%.

Let's assume Liza deposited an amount x at 4% interest. According to the given information, she deposited twice as much, which is 2x, at 4.5% interest.

To calculate the interest income from the deposits, we'll use the formula: Interest = Principal × Rate × Time.

At 4% interest, the interest earned is 0.04x (4% expressed as a decimal multiplied by x).

At 4.5% interest, the interest earned is 0.045(2x) (4.5% expressed as a decimal multiplied by 2x).

We know that the total annual interest income is $2080. Therefore, we can write the equation:

0.04x + 0.045(2x) = 2080

Simplifying the equation:

0.04x + 0.09x = 2080

0.13x = 2080

x = 2080 / 0.13

x ≈ 16,000

Liza deposited approximately $16,000 at 4% interest, and since she deposited twice as much at 4.5% interest, she deposited approximately $32,000 at 4.5% interest.

Therefore, she deposited $16,000 at 4% and $32,000 at 4.5%.

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Answer:

#1  (0,-4)

#2  (5,0)

#3  (3,1)

Step-by-step explanation:

#1.  (-3, 2) (0, y)  slope = -2

slope = rise/run    therefore slope = -2/1  or down 2 and over 1

so from -3 to 0 you are going over 3 units (or 3 times)  Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6      so 2-6 = -4

so y intercept (b)  = -4 0r (0,-4)

#2   (-7,-4)  (x,0)  slope (m) = 1/3   -7+12=5    x=5

#3   (4,-3)   (x, 1)   slope (m) = -4   (4/-1)   Moving one unit in slope  means

-3=4=1 for Y and 4-1=3 for X    therefore the point is (3, 1)

Answer:

Step-by-step explanation:

If n=1 then 32n+7=16=2(8) so true when n=1

Assume true for n=k so

8|32k+7

If n=k+1

32(k+1)+7

32k+2+7

If 32n+7 is divisble by 8 then 32n+7=8A where A∈Z, and thus 32k+2+7=8B where B∈Z

32×32k+7

32×(8A)=72A

72A=8(9A)=9B

So by induction 32n+7 is divisibe by 8 ∀n∈N

Answer:

= 1/5 x (4x+11)

Step-by-step explanation:

The percentage of the data values that are greater than 130 is 25%

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

The box plot

From the box plot, the five-number summary are

40, 70, 110, 130, and 150

In the above five-number summary, we have

Third quartile = 130

This means that the percentage of the data values that are greater than 130 is 25%

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Answer:

20

Step-by-step explanation:

First you need to divided 9.08 by 0.454 which equals 20 and so that is your answer

Answer:

Answer: 1. x = 10, y = 6 2. x = 12, y = 3 3. x = 5, y = 2.5 4. x = 1, y = 14 5. x = 0.6, y = 7 6. x = 11, y = 1

Step-by-step explanation: