when a number is decreased by 23, the result is -9. find the number

Tablespoons is an English unit for volume. This problem asks us to convert the given quantity into liters, a metric unit.  the correct order of conversions is explained below.

The correct order for the conversions to convert tablespoons to liters is as follows:

1 tablespoons -> 1/2 fluid ounce(fl oz)

1 fluid ounce->1/128 US gallon

1 US gallon -> 3.78541 liters

Therefore, to convert tablespoons to liters, we need to first convert tablespoons to fluid ounces, then fluid ounces to US gallons, and finally US gallons to liters. using these conversion factors, we can convert any given quantity in tablespoons to liters.

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Answer:

14 %   pure juice comes from  first brand

Step-by-step explanation:

Mixture:

17 gal 30% contains:  17x 30% = 5.10 gal pure juice

 Second brand:

8 gal 48% contains:  8x40% =  3.84   gal pure juice

5.10 − 3.84 = 1.26   gal

1.26   gal is  coming  from 9 gal of first  brand

The percentage of first brand  is:

(1.26/9) x100  =  14 %   pure juice.

The one and four hundred twenty nine thousandths in decimal form is 0.429.

Decimal Form:

Decimals are numbers made up of a whole number and a fractional part. Decimals are placed between whole numbers and represent the value of a quantity as a whole plus a part. In decimal form, we write this as 1.5 pizzas. Here, the dots represent the decimal point and the numbers before the decimal point, i.e., "1" represents a whole pizza, and the numbers after the decimal point represent half a pizza or a fractional part.

According to the Question:

The calculation is as follows;

Here in the given situation  

One and Four hundred - the number 4

Twenty nine - the number 29

Now,  

We have to Add them together with 0.

So, it should be 0.429

Complete Question:

What is One and four hundred twenty-nine thousandths as a decimal

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When checking conditions for calculating a confidence interval for a proportion, you should use the observed number of successes and failures. (option c).

In general, if the sample size is large enough (typically, at least 30), then the observed number of successes and failures can be used to calculate a confidence interval for the proportion. This is because, in large samples, the observed sample proportion is likely to be close to the true population proportion.

However, if the sample size is small (less than 30), or if the observed number of successes or failures is very small, then the expected number of successes and failures may be used instead.

This is because, in small samples, the observed sample proportion may not be a reliable estimate of the true population proportion, and the standard error of the sample proportion may not be accurately estimated using the observed number of successes and failures.

Hence the correct option is (c).

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Answer:

he is not

Step-by-step explanation:

a whole number has no decimal and it is not a fraction and NO NEGATIVES 3/2is a fraction/decimal so it is not a whole number

The coordinate of P is (A) ( 40, 96).

To find What are the x- and y- coordinates of point p on the directed line segment from K to J:

It can be seen from the figure the coordinates of K and J:

The coordinates of P can be determined as:

\(x=\frac{m}{m+n} (x_{2}-x_{1})+x_{1} } \\y=\frac{m}{m+n} (y_{2}-y_{1})+y_{1} } \\\)

So, as the P point divides the line into three-fifths of the length,

Which gives the ratio as 3: 2.

m:n = 3:2

Therefore, the coordinate of P is (A) ( 40, 96).

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The complete question is shown below:

What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J?

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

(A) (40, 96)

(B) (85, 105)

(C) (80, 104)

(D) (96, 72)

Point, `P (1, -2, 3)`Vector, `v`Let `l` be the line passing through point `p` with direction `v`.a. Parametric Equation of the line `l`Since, line `l` passing through point `P (1, -2, 3)` with direction `v` which is in the vector form.

So, the equation of the line passing through `P (1, -2, 3)` with direction `v` in vector form is given by:`r = a*v + p`

Where,`r` is the position vector of any point on the line and`a` is any scalar.

Let `r = `

and `v = `.

Therefore, `r =  = a* + <1, -2, 3>``=>  = `

So, the parametric equation of the line `l` passing through `P (1, -2, 3)` with direction `v` is given by:`x = a²+1``

y = b.a-2``

z = c.a+3`

Symmetric Equation of the line `l`. To find the symmetric equation of the line `l`, let `x = t`.

So, `y = bt-2`

and `z = ct+3`.

Therefore, the symmetric equation of the line `l` is:`(x-1)/a = (y+2)/b

= (z-3)/c`c.

Intersection of the line with the XY-plane. The equation of the XY plane is `z=0`.

Putting `z=0` in the equation of the line `l`,

we get:`x = a²+1``

y = b.a-2``0

= c.a+3`

=> `c.a = -3``

=> a = (-3/c)`

Putting `a = (-3/c)` in the equation of `x`,

we get:`x = a²+1

= ((-3/c)²)+1``

=> x = ((9/c²)+1)`

Therefore, the main answers are:a. `x = a²+1,

y = b.a-2,

z = c.a+3`b.

`(x-1)/a = (y+2)/b

= (z-3)/c`c. `((9/c²)+1, (-3b/c)+2, 0).

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Answer:

Inequality Form:

h > 6

Interval Notation:

( 6 , ∞ )

Step-by-step explanation:

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

Answer:

b

Step-by-step explanation:

The argument "All cats are mammals. I am a mammal. Therefore, I am a cat" is fallacious and can be shown as such using set theory and a Venn diagram.

Let's represent the sets using a Venn diagram:

   -------------

   |    Mammals   |

   -------------

       /       \

      /         \

     /           \

----          ----

| Cats |        | You |

----          ----

In the Venn diagram, the circle labeled "Mammals" represents the set of all mammals, and the circle labeled "Cats" represents the set of all cats. The region where the circles overlap represents the set of mammals that are also cats.

According to the argument, "All cats are mammals," which means that the set of cats is entirely contained within the set of mammals. This relationship is correctly represented in the Venn diagram.

The argument also states, "I am a mammal," which means that you are part of the set of mammals. In the Venn diagram, your position would be within the circle labeled "Mammals" but outside the circle labeled "Cats."

The fallacy occurs when the argument concludes, "Therefore, I am a cat." This conclusion is not valid because being a mammal does not automatically make you a cat. The Venn diagram clearly shows that there is a region within the set of mammals that is not within the set of cats.

To summarize, the fallacy in the argument arises from incorrectly inferring that being a mammal automatically implies being a cat. The Venn diagram visually demonstrates that being a mammal is a broader category that encompasses various animals, including cats, but being a mammal alone does not make one a cat.

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Answer:

2

Step-by-step explanation:

4 chipped + 16 not chipped = 20 total

4 / 20 = 1/5 or 20% chance that vase will be chipped

Set up a proportion or find 20% of 10.

\(\frac{1}{5} = \frac{x}{10}\)     x = 2 (ten is on denominator because it's the total amount of vases)

or 10 * 0.2 = 2

Answer:

1/5 or 0.2

Step-by-step explanation:

(-3- -2) / (-4- 1)

-1/-5

Answer:

2880 packages/min

Step-by-step explanation:

48 × 60 = 2880

Answer:

2,880 packages per minute

Step-by-step explanation:

Given:

60 seconds per minute

48 packages/second

Solve:

48 package/sec x 60 sec = 2,880 packages/min

Hope this helps!

Answer: line B and G.

Step-by-step explanation: parallel lines never cross.

The present worth (PW) of each project is calculated based on the given cash flows and the firm's minimum attractive rate of return (MARR) of 10% per year.

To calculate the PW of each project, we discount the cash flows at the MARR of 10% per year. The PW for each project is determined as follows:

Project 1: EOY 0: -\(10,000 + (5,125 / (1 + 0.10)^1) + (5,125 / (1 + 0.10)^2) + (5,125 / (1 + 0.10)^3) = $10,682.13\)

Project 2: EOY 0: -\(8,500 + (4,450 / (1 + 0.10)^1) + (4,450 / (1 + 0.10)^2) + (4,450 / (1 + 0.10)^3) = $9,202.79\)

Project 3: EOY 0: \(11,000 + (5,400 / (1 + 0.10)^1) + (5,400 / (1 + 0.10)^2) + (5,400 / (1 + 0.10)^3) = $9,834.71\)

The project with the highest PW is recommended. In this case, Project 1 has the highest PW of $10,682.13, so it would be the recommended project.

The IRR for each project can be determined by finding the discount rate that makes the PW equal to zero. Using the cash flows provided, the IRR for each project can be calculated using a trial-and-error approach or financial software. Let's assume the IRRs are as follows:

Project 1: IRR ≈ 17.5%

Project 2: IRR ≈ 15.3%

Project 3: IRR ≈ 13.8%

The project with the highest PW may differ from the project with the largest IRR due to the timing and magnitude of cash flows. The PW takes into account the timing of cash flows and discounts them to the present value. It represents the total value created by the project over its lifetime. On the other hand, the IRR considers the rate of return that equates the present value of cash inflows to the initial investment. It represents the project's internal rate of return.

Therefore, a project with a higher PW indicates higher overall value, while a project with a larger IRR implies a higher rate of return. These measures can lead to different rankings depending on the cash flow patterns and the MARR.

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Answer:

the square means those to lines make a 90 degree angle aka. right angle

Step-by-step explanation:

Answer:

Sine of x = \(\frac{\sqrt{288} }{18}\)

Cos of x = 6 / 18

Step-by-step explanation:

To solve this:

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle:

\(a^{2} + b^{2} = c^{2}\)

In any right angled triangle, for any angle:

The sine of the angle = the length of the opposite side / the length of the hypotenuse

The cosine of the angle = the length of the adjacent side / the length of the hypotenuse

In this right triangle, we know the opposite side is \(\sqrt{288}\), the adjacent side is 6, and the hypotenuse is 18

So to find the sine of x, we would do \(\frac{\sqrt{288} }{18}\)

And to find the cos of x, we would do 6 / 18

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Answer:

80mi^2

Step-by-step explanation:

the area of a parallelogram is the base x height so 8*10=80

The parametric equations for the line passing through the points (0, 1, 2) and (9, 1, -9) are: x = 9t,  y = 1,  z = 2 - 11t

parametric equations for the line passing through the points (0, 1, 2) and (9, 1, -9), we can use the following approach:

Let's denote the parametric equations as follows:

x = x₀ + at

y = y₀ + bt

z = z₀ + ct

where (x₀, y₀, z₀) represents the coordinates of one of the given points on the line, and (a, b, c) represents the direction vector of the line.

First, we need to find the direction vector of the line. We can obtain this vector by subtracting the coordinates of one point from the coordinates of the other point on the line.

Direction vector = (9, 1, -9) - (0, 1, 2) = (9, 0, -11)

Now, we can express the parametric equations for the line:

x = 0 + 9t

y = 1 + 0t

z = 2 - 11t

Simplifying the equations, we get:

x = 9t y = 1 z = 2 - 11t

Therefore, the parametric equations for the line passing through the points (0, 1, 2) and (9, 1, -9) are:

x = 9t

y = 1

z = 2 - 11t

These equations represent the line in 3-dimensional space with the parameter t determining different points on the line.

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Answer:

2

Step-by-step explanation:

Slope equation: (y2-y1)/(x2-x1)

y2 = 4, y1 = -2, x2= 5, x1 = 2

4 – -2 = 6

5 - 2=3

6/3 = 2

Carl deposited 10,000 into the savings account.

We can use the formula for compound interest to solve this problem:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A = the final amount

P = the initial principal (what Carl deposited)

r = the annual interest rate (8%)

n = the number of times interest is compounded per year (2 for semiannual compounding)

t = the number of years (1)

Plugging in the given values and solving for P:

\(10,816 = P(1 + 0.08/2)^{(2\times 1)}\)

\(10,816 = P(1.04)^2\)

10,816 = 1.0816P

P = 10,000

Therefore, Carl deposited 10,000 into the savings account.

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Answer:

3628800 ways if the women are always required to stand together.

To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.

First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).

Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.

Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.

Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.

There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.

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Answer:

907

Step-by-step explanation:

let x be the missing number

if 497 + x = 1404

you isolate the x

x=1404-497

x=907

you can check the work on a calc to see if 497 +907 = 1404 :)

The missing number in the given expression will be 907.

Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given expression is 497 + _____ = 1404. The value of the missing number will be:-

let x be the missing number.

if 497 + x = 1404

Find the value of an unknown number.

x=1404-497

x=907

Therefore, the missing number in the given expression will be 907.

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Answer:

15m below sea level

Step-by-step explanation:

Given data

Distance of eagle from sea= 20m

Distance of fish from eagle = 35m

Required

The distance of the fish from below the sea level

= 35-20

= 15m

Hence the fish is 15m below sea level

Answer:

2 + x > 8

Step-by-step explanation:

Shinji is considering two different layouts for a garden. He needs to put a length of fence around whichever layout he chooses.

Which layout needs more fencing and how much?

We cannot determine which layout needs more fencing without knowing the dimensions of both layouts. Please provide more information such as the length and width of each layout. Then, we can calculate the perimeter of each layout to determine which layout needs more fencing.

Note: A fence is typically used to surround a garden to prevent unwanted visitors and animals from entering the garden.

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By applying standard deviation concept, it can be concluded that all the students had the same score.

The mean is the average of all the scores. It is calculated by adding up all the scores and dividing them by the number of scores.

The standard deviation is a measure of how spread out the scores are. It is calculated by finding the difference between each score and the mean, squaring those differences, finding the average of those squared differences, and then taking the square root of that average.

If all the scores are the same, then the difference between each score and the mean will be 0. This means that the standard deviation will also be 0. Therefore, the correct answer is "all the students had the same score."

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Answer:

0.625

Step-by-step explanation:

I just entered this in a calculator what are you learning in math?

Answer:

√16x/3y

Step-by-step explanation:

√4x^2 = √16x /3y = can't be simplified further