A study indicated that residents of Hillsdale wasted 8,127 gallons of water this year. That is 10% less than they wasted last year. How many gallons of water did the city's residents waste last year?

Answer:

depending on how you need the answer it's 13/7, 1 6/7 or 1.8571428571429

Answer:

it would be 30.

Step-by-step explanation: hope this helps and feel free to brainliest.

Answer:

3.49 ounces

Step-by-step explanation:

Steps to determining the answer

8.09 + 8.65 = 16.74 ounces

16.74 ounces - 2.78 ounces  = 13.96 ounces

13.96 ounces / 4 = 3.49 ounces

Answer:

Step-by-step explanation:

Subset of A = { {} , {a} , {b}, {a.b} }

Answer:

B. 2

Step-by-step explanation:

1.87

11 x 17  / 100  = 1.87

Answer:

100?

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

5/7/2/7*40

5/7*7/2*40

=100

Answer:

\( \sqrt{ {1}^{2} + {2}^{2} + {( - 2)}^{2} } = \sqrt{1 + 4 + 4} = \sqrt{9} = 3\)

(1, 2, -2) is 3 units away from the origin.

(0, 0, 5) is 5 units away from the origin.

So (0, 0, 5) is farther away from the origin.

Answer:

There is no picture?

Step-by-step explanation:

Answer:

a. The graph of g(x) is the graph of f(x) stretched vertically.

Step-by-step explanation:

I just took test and got it correct 100%

Answer:

Step-by-step explanation:

Convert 50 kg into pounds:

Number of adults the elevator can take:

Answer:

The Elevator can hold 10 adults

Step-by-step explanation:

Step 1- Convert kg to lbs to get 110lbs

Step 2- Divide 1200 (the elevators max compacity) by 110 to get 10

Step 3- The elevator can hold 10 adults

-Rocketgamer360

First, we have to find the slope

It is an horizontal line

Point-slope form= = y - 6 = 0 (x - 3)

Slope-intercept = y=mx + b,

let's find b

y = 0x + 6

y = 6

Cpk measures the relationship between the process variability and the specification limits. If the process mean is not centered within the specification limits, reducing the standard deviation alone may not improve the Cpk.

a. False. It is possible for the Lower Control Limit (LCL) in an Xbar chart to be greater than the Upper Specification Limit (USL). The control limits in statistical process control (SPC) are based on the process variability, while specification limits are determined by customer requirements. If the process is in control but does not meet the customer's specifications, it is possible for the LCL to be greater than the USL.

b. False. Statistical Tolerancing generally offers higher First Time Yield (FTY) compared to Worst Case Tolerancing. Statistical Tolerancing takes into account the statistical distribution of the process and allows for better utilization of the allowable tolerance range, resulting in higher FTY. Worst Case Tolerancing, on the other hand, assumes extreme values for all variables, leading to lower FTY.

c. False. In Worst Case analysis, the probability of interference can be zero or non-zero, depending on the specific scenario. It is possible to have cases where the tolerances do not overlap and there is no interference, resulting in a probability of interference of 0%.

d. True. For sample sizes that are significantly larger than 30, the standard deviation (o) of the process can be approximated by the sample standard deviation (s) in Statistical Process Control (SPC). This approximation holds under the assumption of a normal distribution and large sample sizes where the Central Limit Theorem applies.

e. False. C charts are control charts used for monitoring the count or number of defects per unit. Cpk, on the other hand, is a capability index that measures the process capability to meet specifications. C charts and Cpk serve different purposes in Statistical Process Control (SPC) and are not directly comparable.

f. False. If Cpk < 0, it indicates that the process is not capable of meeting the specification limits. In this case, the process mean is not within the specification limits.

g. True. Design for Manufacturability (DFM) aims to reduce the number of assembly parts, which can help reduce opportunities for defects or occurrences of failure modes. By simplifying the design and reducing the number of parts, the overall Failure Detections (OFDs) can be reduced.

h. True. Defects in a multi-step manufacturing process are generally additive. Each step in the process has its own probability of generating defects, and as the product moves through the various steps, the defects can accumulate.

i. False. FTY (First Time Yield) is calculated as 1 minus DPU (Defects Per Unit). It is valid for DPU values ranging from 0 to 1. DPU values greater than 0.5 indicate a high defect rate, but the formula FTY = 1 - DPU is still applicable.

j. False. Reducing the standard deviation (o) of a process does not always increase the Cpk (Process Capability Index). Cpk measures the relationship between the process variability and the specification limits. If the process mean is not centered within the specification limits, reducing the standard deviation alone may not improve the Cpk. The process mean also needs to be adjusted to ensure that it falls within the specification limits to increase the Cpk value.

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Answer:

$390

Step-by-step explanation:

Multiply 600 by 0.35

210

Subtract 210 from 600

$390

This is the new price

Hope this helps :)

Answer:

FEID

Step-by-step explanation:

slope = (change in y values) ÷ (change in x values)

1) slope = (28 - 23) ÷ (-5 - -4)

= 5 ÷ (-5 + 4) = 5 ÷ -1 = -5 (option F)

2) slope = (-27 - 9) ÷ (-3 - 1) = -36 ÷ -4 = 9 (option E)

3) slope = (2 - 1) ÷ (-3 - 0) = 1 ÷ -3 = -1/3 (option I)

4) slope = (-7 - -4) ÷ (-5 - -4) = (-7 + 4) ÷ (-5 + 4) = -3 ÷ -1 = 3 (option D)

Answer:

diagram pls

then I can answer this question

Answer:

Hey there!

Total marbles= 5+2+3=10

Green marbles= 3

3/10=30%

Hope this helps :)

The angles that can be used to make ΔABC are 71°, 41° and 68°

In this question, we have been given some angles.

A 71°71°

B 36°36°

C 41°41°

D 88°88°

E 68°

We need to find angles that can be used to make ΔABC.

We know that the sum of all angles of triangle is 180°

We need to find three angles whose sum is 180°

71° + 41° + 68° = 180°

Since the sum of angles 71°, 41° and 68° is 180°, we can use these angles to make ΔABC

Therefore, the angles that can be used to make ΔABC are 71°, 41° and 68°

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The exact values:(a)  sin(α + β) = (315√29 + 4√2)/(493√29)

(b)  cos(α - β) = (315√29 - 4√2)/(493√29) (c) tan(α - β) =  357/986

(a) To find sin(α + β), we use the trigonometric identity for the sum of angles: sin(α + β) = sin α cos β + cos α sin β. We substitute the given values sin α = 21/29 and cos β = 15/17 into the formula and compute the expression.

(b) For cos(α - β), we apply the trigonometric identity for the difference of angles: cos(α - β) = cos α cos β + sin α sin β. Again, we substitute the known values and calculate the result.

(c) To find tan(α - β), we use the trigonometric identity: tan(α - β) = (tan α - tan β) / (1 + tan α tan β). By substituting the given values for tan α and tan β, we can evaluate the expression.

By following these steps, we can determine the exact values of sin(α + β), cos(α - β), and tan(α - β) based on the given values of sin α and cos β.

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The density of the Geometry textbook is 0.06 g/cm^3.

To find the density of the Geometry textbook in g/cm^3, we need to find its volume first. The volume of a rectangular prism is given by the formula V = l x w x h, where l is the length, w is the width, and h is the height.

In this case, the length is 16 cm, the width is 10 cm, and the height is 5 cm. Therefore, the volume of the Geometry textbook is:

V = l x w x h = 16 cm x 10 cm x 5 cm = 800 cm^3

Now, we can find the density of the textbook using the formula:

\(density = mass / volume\)

Plugging in the given mass of 48 grams and the calculated volume of 800 cm^3, we get:

density = 48 g / 800 cm^3 = 0.06 g/cm^3

Therefore, the density of the Geometry textbook is 0.06 g/cm^3. We rounded our answer to two decimal places as the original mass was given in grams to two decimal places.

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Answer:

101-9 then you divide it by 4 and im pretty sure you can get the equation from there

Step-by-step explanation:

Answer:

  ? = 6b

Step-by-step explanation:

You want to find the length of CB from points B(3a, b) and C(-a, -5b).

The distance formula is given.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-a-3a)² +(-5b -b)²)

  d = √(-4a)² +(-6b)²)

  \(d=\sqrt{(4a)^2+(\boxed{6b})^2}\)

__

Additional comment

The distance expression can be simplified to ...

  d = 2√(4a² +9b²)

However, this is not the form your answer is supposed to take. The value that goes in the green box is 6b.

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i. Vectors u and w are orthogonal.

ii. The two vectors orthogonal to v = √(2, -3) are u = (3, 2) and w = (-2, 3).

iii. The two unit vectors orthogonal to 7 are u = (1, -1) / √2 and w = (1, 1) / √2.

i. To show that vectors u = (a, b) and w = (-b, a) are orthogonal, we need to demonstrate that their dot product is zero.

The dot product of u and w is given by:

u · w = (a, b) · (-b, a) = a*(-b) + b*a = -ab + ab = 0

ii. To find two vectors orthogonal to vector v = √(2, -3), we can use the result from part i.

Let's denote the two orthogonal vectors as u and w.

We know that u = (a, b) is orthogonal to v, which means:

u · v = (a, b) · (2, -3) = 2a + (-3b) = 0

Simplifying the equation:

2a - 3b = 0

We can choose any values for a and solve for b. For example, let's set a = 3:

2(3) - 3b = 0

6 - 3b = 0

-3b = -6

b = 2

Therefore, one vector orthogonal to v is u = (3, 2).

To find the second orthogonal vector, we can use the result from part i:

w = (-b, a) = (-2, 3)

iii. To find two unit vectors orthogonal to 7, we need to consider the dot product between the vectors and 7, and set it equal to zero.

Let's denote the two orthogonal unit vectors as u and w.

We know that u · 7 = (a, b) · 7 = 7a + 7b = 0

Dividing by 7:

a + b = 0

We can choose any values for a and solve for b. Let's set a = 1:

1 + b = 0

b = -1

Therefore, one unit vector orthogonal to 7 is u = (1, -1) / √2.

To find the second unit vector, we can use the result from part i:

w = (-b, a) = (1, 1) / √2

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x, y Z, if x + y is even then x, y have the same parity; both being even or both being odd is true

From the information given, we have that;

or x, y Z, if x + y is even then x, y have the same parity.

Since we have that x + y is even,

This entails that we can express 2k for some integer k

From the meaning of even numbers, we have that;

The variables x and y can be written as x = 2m and y = 2n

Such that both variables m and n are integers.

Now, substitute the value, we have;

x + y = 2k

2m + 2n = 2k

Simplifying the expression, we get;

2(m + n) = 2k.

But we have that 2(m + n) is divisible by 2, then k = m + n.

Hence, x + y is even if and only if x and y have the same parity.

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Answer: 642 Digits have been used to print 250 Pages

Step-by-step explanation:

A book has 250 pages

1 - 250  Numbers will be used

Single Digit number  -  9   ( 1- 9)

Two Digit Numbers   90  ( 10 - 99)

Three Digit Numbers  151  ( 100 - 250)

Number Of Digits used  = 9 * 1  + 90 * 2  + 151 * 3

= 9 + 180 + 453

= 642

642 Digits have  been used to print 250 Pages

The type of circuit that is represented above is a closed circuit that allows electrons to flow. That is option B

A circuit is defined as the electrical or electronic pathway that allows the flow of an electrical current.

There are two types of circuit that include the following;

The closed circuit is defined as the type of circuit that is complete and allow the flow of current

The open circuit is the type of circuit that is incomplete and that cannot allow complete flow of electrons.

The circuit shown above is a complete circuit that allows the build to turn on.

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The quotient of the division problem is (x + 1)/(x +2). The result is obtained by determining the factors of the two quadratic equations.

The quadratic equation can be expressed as

ax² + bx + c = 0

Where c is a constant.

To find the factors of a quadratic equation, follow these steps!

Find the quotient of (x² + 2x + 1)/(x² + 3x + 2) = 0!

For quadratic equation x² + 2x + 1:

The common factors: (x + 1)(x + 1)

For quadratic equation x² + 3x + 2:

The common factors: (x + 2)(x + 1)

The quotient of the quadratic equations is

(x² + 2x + 1)/(x² + 3x + 2) = 0

(x + 1)(x + 1)/(x + 2)(x + 1) = 0

(x + 1)/(x + 2) = 0

Hence, the quotient of the quadratic equations is (x + 1)/(x + 2) = 0.

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To estimate the circle problems with areas greater than 15 square units, we need to determine the radius of a circle that would yield an area greater than 15 square units. By taking the square root of the ratio of the desired area to π, we can calculate the exact area of the circled circles using the formula A = πr^2.

To find the exact areas of the circled circles, we will substitute the calculated radii into the area formula. By squaring the estimated radius and multiplying it by π, we can determine the precise areas of the circles. Only the circles with areas greater than 15 square units will be included in this calculation, as per the initial requirement. By using these calculations, we can estimate which circles will have areas greater than 15 square units and then determine the exact areas of only those circled circles using the formula A = πr^2.

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Answer:

y = \(\frac{3}{2}\)

Step-by-step explanation:

4 = 2² and 8 = 2³ , then

\(4^{y}\) = 8, can be written

\((2^2)^{y}\) = 2³

\(2^{2y}\) = 2³

Since bases on both sides are equal, both 2, then equate exponents

2y = 3 ( divide both sides by 2 )

y = \(\frac{3}{2}\)

y = 1.5

Step-by-step explanation:

\( {4}^{y} = 8\)

Take the logarithm of both sides and you will get

\( \log {4}^{y} = y \log4 = \log8\)

or

\(y = \frac{\log8}{ \log4} = 1.5\)